Find the volume of the composite solid (STEP BY STEP PLEASE) 25 POINTS

Find The Volume Of The Composite Solid (STEP BY STEP PLEASE) 25 POINTS

Answers

Answer 1

Answer:

56π/3 m³ or 58.64 m³

------------------------------------------------

Find the sum of the volumes of the two given cones.

Cone volume:

V = 1/3 πr²h

Cone 1, d = 4m, h = 8m:

V = 1/3 π*(4/2)²*8 = 32π/3 m³

Cone 2, r = 2m, h = 6 m:

V = 1/3 π*2²*6 = 8π m³

Total volume:

V = 32π/3 + 8π = 56π/3 m³ = 58.64 m³ (rounded)

Related Questions

Kiran was running around the track. The graph shows the time, t, he took to run various distances, d. The table shows his time in seconds after every three meters.

How long did it take Kiran to run 6 meters?

Answers

The time that it will take for Kiran to run 6 meters is; 2 seconds

How to interpret Function Tables?

A function table is defined as a visual table that has columns and rows that display the function with regards to the input and output.

Now, the coordinates of the function table are given as;

(0, 0), (3, 1), (6, 2), (9, 3.2), (12, 3.8), (15, 4.6), (18, 6), (21, 6.9), (24, 8.09), (27, 9)

Now, the graph shows that the y-axis represents  the time, t, he took to run various distances, d which is represented on the x-axis.

Now, we want to find the time that it takes Kiran to run 6 meters. From the graph and table attached, it is seen to be 2 seconds.

Read more about Function Tables at; https://brainly.com/question/9404442

#SPJ1

Alvin, Simon and Theodore do volunteer work at Adopt-a-Pet Animal Shelter. They worked a total of 284 hours at the shelter last summer. Alvin worked 15 hours more than Simon. Theodore worked 6 less than three times as many hours as Simon.

Write and solve an equation that expresses the relationship between the number of hours each person worked last summer and the total number of hours worked. Define the variable used in your equation. SHOW ALL WORK!!!!

How many hours did each person work?

Again, SHOW ALL WORK!!!!

Answers

Answer:

Therefore, Alvin worked 70 hours, Simon worked 55 hours, and Theodore worked 159 hours

Step-by-step explanation:

Let A be the number of hours Alvin worked, S be the number of hours Simon worked, and T be the number of hours Theodore worked.
We know that the total number of hours worked is the sum of the hours each person worked, so we can write the equation:A + S + T = 284
We also know that Alvin worked 15 more hours than Simon, so we can write the equation:A = S + 15
We also know that Theodore worked 6 less than three times as many hours as Simon, so we can write the equation:T = 3S - 6
Substituting the second equation into the first equation, we get:
S + S + 15 + 3S - 6 = 284
Combining like terms, we get:5S + 9 = 284
Subtracting 9 from both sides, we get:5S = 275
Dividing both sides by 5, we get:S = 55
Substituting this value into the equation A = S + 15, we get:
A = 55 + 15A = 70
Substituting this value into the equation T = 3S - 6, we get:T = 3 * 55 - 6T = 165 - 6T = 159

PLEASE HELP
find the sum of ( 2.25 x 10^19) and ( 6.7 x 10^17) Write the answer using proper scientific notation.

A) 231.7 X 10^15

B) 2.317 X10^19

C) 231.7 X 10^17

D) 2.317 X 10^15

Answers

Answer:

Step-by-step explanation:

The sum of (2.25 x 10^19) and (6.7 x 10^17) is (2.317 x 10^19).

To find the sum of these two numbers, we first need to line up the decimal points and add the numbers as we would with any other addition problem:

2.25 x 10^19

+ 6.7 x 10^17

Then, we can carry the 1 and add the numbers:

2.25 x 10^19

6.7 x 10^17

2.317 x 10^19

The sum of these two numbers is 2.317 x 10^19, which is equal to choice B.

The random variable X has a p.d.f P(X=x) foe x= 1,2 3 as shown below
E(x)=∑ XiPi
Find
i) E(x)
ii) E(3)
ii) E(x²)
iv) E(5x+3)

Answers

The random variable X has a pdf P(X=x) for x = 1,2,3 then,

1) E(x)= 2.2

2) E(3) = 0.9

3) E(x²) = 2.26    

4) E(5x + 3)= 14.

Probability Density Function (pdf) is a statistical expression that defines a probability distribution for a discrete random variable as opposed to a continuouse random variable.

We have given that,  

E(x) = ∑xipi

1) E(x) = ∑xipi

         = x₁p₁ + x₂p₂ + x₃p₃

         = 1(0.1) + 2(0.6) + 3(0.3)

         = 0.1 + 1.2 + 0.9

  E(x) = 2.2

2)E(3) = x₃p₃

          = 3(0.3)

   E(3) = 0.9

3) E(x²) = ∑xi²pi²

           = x₁²p₁² + x₂²p₂² + x₃²p₃²

           = 1(0.1)² + 4(0.6)² + 9(0.3)²

           = 0.01 + 1.44 + 0.81

   E(x²) = 2.26

4) E(5x + 3) = ∑5(xipi) + 3

                  = (5x₁p₁ + 5x₂p₂ + 5x₃p₃) + 3

                  = (5(0.1) + 10(0.6) + 15(0.3)) + 3

                  = 0.5 + 6 + 4.5 + 3

   E(5x + 3) = 14

Therefore the random variable X has a pdf P(X=x) for x = 1,2,3 is

E(x) = ∑xipi then E(x) = 2.2, E(3) = 0.9, E(x²) = 2.26 and E(5x + 3) = 14.

To know more about variable here

https://brainly.com/question/29052310

#SPJ4

help me find the slope

Answers

Answer: Rise over Run

Step-by-step explanation: Take the change in the x coordinates, and divide by the change in y coordinates.

For example, to find slope when given 2 coordinates:

(2,5)     (5, 10)

The change in the x coordinates is 3, because from 2-->5 it moves 3 places to the right. (run)

The change in the y coordinates is 5, because from 5-->10 it moves 5 places upwards. (rise)

Use rise/run.

Rise= 5 (change in y coordinate)

Run = 3 (change in x coordinate)

5/3 is the slope.

On questions like #6, the slope is -3. That is because the equation for slope is y=mx+b.

m is the coefficient of the x, so -3 is the slope.

Likewise, the slope of #2 is 7. The slope of #10 is 3/4.

A rectangle has length that is 4 inches greater than twice its width. The perimeter of the rectangle is 26 inches. What is the area?

Answers

A rectangle has length that is 4 inches greater than twice its width. The permitted of the rectangle is 26 inches. What is the area?

you are given a rectangular matrix m. your goal is to write a program that, if an element of m is equal to 0, sets that element's entire row and column to 0.

Answers

The  program for a  given rectangular matrix m,  if an element of m is equal to 0, sets that element's entire row and column to 0

def zeroify_matrix(m):  

rows = len(m)  

cols = len(m[0])  

rows_to_zeroify = []  

cols_to_zeroify = []  

for i in range(rows):

  for j in range(cols):

  if m[i][j] == 0:  

 rows_to_zeroify.append(i)  

cols_to_zeroify.append(j)  

for i in range(rows):  

for j in range(cols):

  if i in rows_to_zeroify or j in cols_to_zeroify:

   m[i][j] = 0  

return m

It is coded in python for the given problem of recreating a rectangular matrix, for a single element to be 0, the whole row nad column will contain zero elements.

To know more about rectangular matrices refer to  the link  brainly.com/question/28180105

#SPJ4

I need help with this question

Answers

The equation has one repeated irrational number solution. thus Option A is correct.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given equation is the quadratic equation by

[tex]-4x^2+ 24x-36=0[/tex]

We need to determine the number and type of solutions.

Noted that If the discriminant equals zero, the equation has one repeated rational number solution.

Since we know that If the discriminant is positive, then the equation has two real solutions.

And If the discriminant is negative, then the equation has two imaginary solutions.

To Calculate the discriminant of the equation [tex]-4x^2+ 24x-36=0[/tex] by substituting a= -4, b= 24  and c= -36 into the discriminant formula:

Since the discriminant equals zero, it follows that the equation has one repeated irrational number solution x = 3

The equation has one repeated irrational number solution.

Option A is correct.

Learn more about quadratic equations;

https://brainly.com/question/17177510

#SPJ1

Nellie is shopping for a new bicycle. She is most interested in color and type of tires.
What is the probability that a randomly selected bike is green given that the bike has bike tires?
Simplify any fractions.

Answers

The probability that a randomly selected bike is green given that the bike has road bike tires is 0.66

Given :

Nellie is shopping for a new bicycle. She is most interested in color and type of tires.

Probability :

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event .

From the table given :

Total number of 6 road bikes = 4

Total road bikes = 2 + 4 = 6

Probability = 4 / 6

= 2 / 3

= 0.66

Hence the  probability that a randomly selected bike is green given that the bike has road bike tires is 0.66 .

Learn more about the probability here:

https://brainly.com/question/11234923

#SPJ4

find -7x3x(-2)x(-5)x(-1) how do i simplify this?

Answers

Answer:

42

Step-by-step explanation:

To simplify the expression -7x3x(-2)x(-5)x(-1), we need to apply the rules of exponentiation and multiplication.

First, we note that the terms -7, -2, -5, and -1 are all negative numbers, which means that they will be multiplied together to give a positive result.

Next, we apply the rule that says that any term raised to the power of 0 is equal to 1. Since -1 raised to the 0 power is 1, this means that the expression -7x3x(-2)x(-5)x(-1) is equivalent to -7x3x(-2)x(-5)x1.

Next, we apply the rule that says that any term raised to the power of 1 is equal to itself. Since 3 raised to the 1 power is 3, and 5 raised to the 1 power is 5, this means that the expression -7x3x(-2)x(-5)x1 is equivalent to -7x3x(-2)x5x1.

Finally, we apply the rule that says that the product of any number and its multiplicative inverse (or reciprocal) is equal to 1. Since the reciprocal of 5 is 1/5, this means that the expression -7x3x(-2)x5x1 is equivalent to -7x3x(-2)x(1/5)x1.

We can now use the rules of multiplication to simplify the expression further. Since any number multiplied by 1 is equal to itself, this means that the expression -7x3x(-2)x(1/5)x1 is equivalent to -7x3x(-2)x(1/5).

Next, we use the rule that says that the product of two negative numbers is a positive number. This means that the expression -7x3x(-2)x(1/5) is equivalent to 7x3x2x(1/5).

Finally, we can apply the rules of exponentiation and multiplication to evaluate the expression. Since any number raised to the power of 1 is equal to itself, this means that the expression 7x3x2x(1/5) is equivalent to 7x3x2. We can then multiply these terms together to get the final result:

7x3x2 = 42

Therefore, the simplified expression is equal to 42.

PLEASE HELP WILL MARK BARINLIEST

Answers

Answer:

<CYZ = 60 degrees

Step-by-step explanation:

CY = CZ  ==> both segments are radiuses of the circle since they both have

                     a CenterPoint at Point C and a point touching the edge of the

                     circle

CY = YZ  ==> Since CY=CZ and YZ=CZ, CY also equal YZ. In addition, this

                     means that CY, YZ, and CZ are all radiuses of the circle

Hence, CY = YZ = CZ.

Since all sides of the triangle are equal, that means that all angles of the triangle are equal as well:

<CYZ + <CZY + <YCZ = 180  ==> 180 is the total degrees in a triangle

<CYZ + <CYZ + <CYZ = 180  ==> all angles have the same measure

3 * <CYZ = 180  ==> solve for <CYZ

(3 * <CYZ)/3 = 180/3 ==> divide by 3 on both sides to isolate <CYZ

<CYZ = 60 degrees

Answer: [tex]\angle CYZ=60^{\circ}[/tex]

Step-by-step explanation:

[tex]\overline{CZ}=\overline{CY}[/tex] (radii of a circle)

[tex]\implies \overline{YZ}=\overline{CZ}=\overline{CY}[/tex]

[tex]\therefore \angle CYZ=60^{\circ}[/tex] (equilateral triangle)

Given inputs A, B, C, D, E, design a CMOS circuit to implement the logic function: Y(not) = A(B+C) + D + E

Answers

Given inputs A, B, C, D, E, design a CMOS circuit to implement the logic function: Y(not) = A(B+C) + D + E has  5-c-mos, 5-pmos total 10 mos transistors

this can be realize by takeing three c-mos in parallel which gives ABC ,two c-mos are series which is in serires with

another c-mos whic gives D(A+B), now connect ABC and D(A+B) in series

the out put will be (ABC + D(A+B) )'

so we require total 6-mos and 6-pmos total 12mos transistors

F = AC + BD

pull down

this can be realize by takeing two c-mos in series which gives AB ,two cmos are in series

which whic gives BD, now connect AC and BD in parallel

pull up

this can be realize by takeing two c-mos in parallel which gives Ac ,two c-mos are in parallel

which whic gives BD, now connect AC and BD in series

the output is (AC+BD)'

to avoid the complement we have to connect the output to c-mos inverter then we get AC+BD

so we require 5-nmos, 5-pmos total 10 mos transistors

learn more about of circuit here

https://brainly.com/question/13128650

#SPJ4

consider the equation 6y+13=____+8

which value or expression can you write in the blank so the equation has no solution

0, 13, 5y, or 6y

Answers

Answer:

6y

Step-by-step explanation:

What can you remove form the left side that makes this a false equation?

It's 6y. So place 6y on the right side.

6y + 13 = 6y + 8

Subtract 6y from both sides.

13 = 8

Since 13 = 8 is a false statement, the equation 6y + 13 = 6y + 8 has no solution.

Answer: 6y

Step-by-step explanation:

i did the iready and got it right

its 6y

Let X denote the random variable that gives the sum of the faces that fall uppermost when two fair dice are rolled. Find P(X = 4). (Round your answer to two decimal places.)

Answers

The likelihood or the probability is 121, or 8.33%.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.

We must make a table for easier comprehension in order to determine the P(x=4);

Refer to the attachment for table:

There are three different ways that P(x=4) can occur based on the table. Out of 36 possible results (6 x 6 = 36), they are (1,3), (2,2), and (3,1). As a result, the chance of the event is 363; it is then reduced to 121, or 8.33%.

To learn more about the probability from the given link

https://brainly.com/question/24756209

#SPJ1

Correct 45.7395 to 3 decimal places

Answers

To correct a number to 3 decimal places, we need to round it to the nearest thousandth. The number 45.7395 is already very close to 45.740, which is the nearest thousandth. Therefore, we can round 45.7395 to 45.740, which is the correct answer to 3 decimal places.

start by thinking of the number 22 as divided into 22 individual items and the variables x1, x2, and x3 as three categories into which these items are placed. since each xi is a positive correct: your answer is correct. integer, start by placing one item in each category and distribute the remaining items among the categories. the number of solutions to the equation that satisfy the given condition is the number of ways to place all the items into the categories. thus, the answer is 20 incorrect: your answer is incorrect. .

Answers

If the number of solutions to the equation that satisfy the given condition is the number of ways to place all the items into the categories. Then, the answer is 210 .

In the question ,

it is given that ,

number 22 is divided into 22 individual items ,

the three categories in which these items are placed are x₁, x₂ and x₃ .

x₁ + x₂ + x₃ = 22    .....equation(1)

(x₁ - 1) + (x₂ - 1) + (x₃ - 1) = 22 - 3 = 19

let a = x₁ - 1 , b = x₂ - 1  and c = x₃ - 1 .

Hence , a + b + c = 19    ....equation(2)

Now , because the number of solution of equation(1) excluding zero will be equal to the number of solutions of equation(2) including the zero .

So , we subtracted 1 from x₁, x₂ and x₃ respectively .

Now , we have to divide 19 into 3 parts where any part can be zero also or any part is a whole number .

For Example : let us have 19 apples , which must be divided into 3 parts by placing 2 J's among 19 A's .

Now we have reduced the problem to such that we have to find the permutation of 19 A's and 2 J's that is 21 characters in which every permutation is a solution .

So , the  number of ways of arranging 21 characters in which 19 are same(A)  and 2 are same (J)

= 21!/(2! * 19!)

= 21*10 = 210

It means there are 210 non negative integral solutions of a+b+c = 19 .

It means total positive solutions of x₁ + x₂ + x₃ = 22  is 210 .

Therefore , the number of solution to the equation is 210 .  

The given question is incomplete , the complete question is

Start by thinking of the number 22 as divided into 22 individual items and the variables x₁, x₂, and x₃ as three categories into which these items are placed. since each [tex]x_{i}[/tex] is a positive integer, start by placing one item in each category and distribute the remaining items among the categories. The number of solutions to the equation that satisfy the given condition is the number of ways to place all the items into the categories. Thus, the answer is ______  .

Learn more about Permutations here

https://brainly.com/question/5708836

#SPJ4

josh is 4 years older than 2 times kim's age. the sum of their ages is less than 25. what is the oldest kim could be? select the correct inequality for the situation, then determine the oldest age kim could be. select 2 correct answer(s) question 6 options: (4 2k) k > 25 (4 2k) k < 25 4 2k > 25 4 2k < 25 the oldest kim could be is 4. the oldest kim could be is 5. the oldest kim could be is 6. the oldest kim could be is 7.

Answers

The inequality for the situation is 2x + 4 < 25 and the oldest age of Kim is 10 years old

The inequality is the mathematical statement that shows the relationship between two expressions with inequality sign. The inequality signs are less than, less than or equal, greater than, greater than or equal.

Consider the Kim's age as x

Josh is 4 years older than 2 times Kim's age

Two times Kim's age = 2x

4 years older than 2 times Kim's age = 2x + 4

The age of Josh = 2x + 4

Sum of their ages is less than 25

The inequality is

2x + 4 < 25

2x < 21

x < 21/2

x < 10.5

Therefore, the oldest age of Kim is 10 years old and the inequality is 2x + 4 < 25

Learn more about inequality here

brainly.com/question/20383699

#SPJ4

of 649 adults selected randomly from one town, 54 of them smoke. construct a 92.5 percent n interval for the true percentage of all adults in the town that smoke.

Answers

The 92.5% of confidence interval for the percentage of adults is

(-1.176 ,  1.342).

as per given in the question,

The total number of adults (n) is 649

The number of smokers (x) = 54

the probability of getting a smoker is P =x/n

=> P = 54/649

=> 0.083

not getting a smoker is

1 - P = 1-0.083

=> 0.916

At 92.5% confidence level the Z critical value is ,

[tex]\alpha[/tex] = 1 - 92.5%

=> 1 - 0.925

=> 0.075

[tex]\alpha[/tex] / 2 = 0.075/ 2

=> 0.0375

now,

for the two tail test

Z[tex]\alpha[/tex]/2

= Z(0.0375)

= 1.7805

Margin of error

E = [tex]Z\alpha / 2 * \sqrt{( p * (1 - p) / n)}[/tex]

= 1.780 [tex]\times (\sqrt{((0.083 \times 0.916 ) / 649)}[/tex]

= 1.2596

A 92.5 % confidence interval for population proportion p is ,

P- E < P < P + E

0.083- 1.259 < P < 0.083 + 1.259

-1.176 < p < 1.342

(-1.176 ,  1.342) is the interval

To learn more about Z critical value :

https://brainly.com/question/3605192

#SPJ4

Gerolamo Cardano in his book, The Gambling Scholar, written in the early
1500s, considers the following carnival game. There are six dice. Each of the
dice has ve blank sides. The sixth side has a number between 1 and 6|a
dierent number on each die. The six dice are rolled and the player wins a
prize depending on the total of the numbers which turn up.
(a) Find, as Cardano did, the expected total without nding its distribution.
(b) Large prizes were given for large totals with a modest fee to play the
game. Explain why this could be done.

Answers

Therefore , [tex](\frac{1}{6})^{2}[/tex] is the probability of getting 5 of same number on all the dice.

what is probability?

The probability of winning is actually closer to 1/3 (25/72). Carnival game operators want you to think that a game is fair like I did, so that you will play. If you knew that the probability of winning a game was only about 1/3, most likely you would not waste your money.

Mathematical descriptions of the likelihood that an event will occur or that a claim will be true are called probabilities.

Here,

[tex](\frac{1}{6})^{2}[/tex] is the probability of getting 5 of same number on all the dice.

Therefore , [tex](\frac{1}{6})^{2}[/tex] is the probability of getting 5 of same number on all the dice.

To know more about probability, visit:-

https://brainly.com/question/16722133

#SPJ4

The ticket sales at a movie theater were $3,402. Adult tickets are $11, and senior tickets are $8. The number of senior tickets sold was 27 less than twice the number of adult tickets. Determine the number of adult tickets and senior tickets sold.

Answers

Answer:

Adults: 134

Senior: 241

Step-by-step explanation:

Known

Number of adult tickets sold: x

Revenue from adult tickets: $11x

Number of senior tickets sold: y

Revenue from senior tickets: $8y

From the problem, we found the equation [tex]y = 2x - 27[/tex] and 3,402 = 11x + 8y

Combining the two equation:

[tex]3,402 = 11x + 8(2x-27)\\3,402 = 11x + 16x - 216\\3,402 + 216 = 27x\\27x = 3,618[/tex]

Divided both side by 27

[tex]x = 134[/tex]

Since

[tex]y = 2x - 27[/tex]

Inserting the value of x,

[tex]y = 2(134) -27\\y = 268 - 27\\y = 241[/tex]

So, there are 134 adult tickets sold and 241 senior tickets sold.

According to a recent poll the percentage of Americans who would vote for the incumbent president is 53%. If a random sample of 100 people in New York results in 45% who would vote for the incumbent, test the claim that the percentage of people in New York who would vote for the incumbent president is different from 53%. Use a 0.10 significance level.
H0: p = 0.53. Ha: p ≠ 0.53.
α = 0.10
Test statistic: z = -1.60. P-Value = 0.1090
State your conclusion about H0.
Draw a new sample.
Do not reject H0
Reject H0
Reject Ha
Do not reject Ha

Answers

We cannot conclude that the percentage of people in New York who would vote for the incumbent president is different from 53%.

The correct answer is B) Do not reject H0.

What is a null hypothesis in probability?

The null hypothesis is a typical statistical theory that suggests that no statistical relationship and significance exists in a set of given single observed variables, between two sets of observed data and measured phenomena.

In this situation, the null hypothesis H0 is that the percentage of people in New York who would vote for the incumbent president is equal to 53%. The alternative hypothesis Ha is that the percentage of people in New York who would vote for the incumbent president is different from 53%.

The test statistic for this hypothesis test is z = -1.60. This means that the sample result of 45% is 1.60 standard deviations away from the hypothesized value of 53%.

The p-value is the probability of observing a test statistic as extreme as or more extreme than the one observed, given that the null hypothesis is true. In this case, the p-value is 0.1090, which is greater than the significance level of 0.10.

Since the p-value is greater than the significance level, we do not have sufficient evidence to reject the null hypothesis.

Hence, we cannot conclude that the percentage of people in New York who would vote for the incumbent president is different from 53%.

The correct answer is B) Do not reject H0.

To learn more about the null hypothesis, visit:

https://brainly.com/question/13135308

#SPJ4

One leg of a right triangle is 2 feet longer than the other leg. The hypotenuse is 10 feet long. Find the length of the legs of the triangle?

Answers

The lengths of the right-angled triangle are 6 and 8.

What is a right triangle?

A right-angled triangled is a triangle that has one of its angles equal to 90°. The sum of the other two interior angles is also equal to 90°.

What is Pythagoras theorem?

The Pythagoras theorem relates the three sides of a right-angled triangle through a simple equation. According to the Pythagoras theorem,

hypotenuse^2 = base^2 + opposite^2

Let base = b, so opposite = b + 2

So,

10^2 = b^2 + (b+2)^2

100 = b^2 + b^2 + 4b + 4

100 = 2b^2 + 4b + 4

50 = b^2 + 2b + 2

b^2 + 2b - 48 = 0

solving this quadratic equation gives, b = 6 and b = -8. Since length cannot be negative, the base is 6 feet and the opposite is 8 feet.

To learn more about right-angled triangle visit the link below:

https://brainly.com/question/7116550

#SBJ4

yolanda will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $70 and costs and costs and additional $0.30 per mile driven. The second plane has no initial fee but costs $0.80 per mile driven. How many miles would Yolanda need to drive for the two plans to cost the same?

Answers

The two plans will cost the same when Yolanda has driven 233 miles distance. That is, $70 + (0.30 x 233) = $233 = 0.80 x 233.

To find out how many miles Yolanda needs to drive for the two plans to cost the same, we need to set up an equation. The equation should calculate the total cost of each plan. For the first plan, the total cost is the initial fee plus the cost of the miles driven. For the second plan, the total cost is just the cost of the miles driven. We can then set the two equations equal to each other and solve for the number of miles distance driven. The final result is that Yolanda needs to drive 233 miles for the two plans to cost the same.

Plan 1: C = F + (D × CPM)

Plan 2: C = (D × CPM)

Plan 1 = Plan 2

F + (D × CPM) = (D × CPM)

F = 0

D × CPM = D × CPM

D = 233

Therefore, Yolanda needs to drive 233 miles for the two plans to cost the same.

Learn more about distance here

https://brainly.com/question/28956738

#SPJ4

24. The average price of a new car is a function of the year it was purchased. In 1994.
the average price of a new car was $16.930. In 2002, the average price was
$19.126. Find the rate of change of the average price of a new car. Include units
in your answer.

please help me i’m struggling

Answers

The rate of change of the average price of the new car is $274.50 per year.

What is the rate of change?

The rate of change of the average price of the new car is a function of the change in average price over the years and the change in the number of years.

Rate of change = change in the average price / change in the number of years

Rate of change = (price in 2002 - price in 1994)  / difference in the number of years

Rate of change = (19,126 - 16,930) / (2002 - 1994)

Rate of change = 2196 / 8

Rate of change = $274.50

To learn more about prices, please check: https://brainly.com/question/22789842

#SPJ1

It takes Christina 2 minutes to read one page of her 250 page book. Which of the following represents the appropriate domain and range for a function relating the total time she has spent reading the book, x, and the number of pages she has read, y?

Answers

Answer:

Domain: 0<=x<=500

Range: 0<=y<=250

Step-by-step explanation:

I'm not sure if this is what you asked for. She spend 2 minutes reading 1 page, there are 250 pages, therefore: 250*2=500

the range is simply the total pages

Hope this help!

3. Find the composition (fog)(-2) for the functions f(x) = 2x+1 and g(x)=x²-3

Answers

Answer:

3

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=2x+1\\g(x)=x^2-3\end{cases}[/tex]

Function composition is an operation that takes two functions and produces a third function.

The given composite function f o g(-2) means to substitute the function g(-2) in place of the x in function f(x):

[tex]\begin{aligned}(f \circ g)(-2)&=f[g(-2)]\\&=2[g(-2)]+1\\&=2(2^2-3)+1\\&=2(4-3)+1\\&=2(1)+1\\&=2+1\\&=3\end{aligned}[/tex]

Can anyone pls help me find the answer to this problem. I will give brainliest

Answers

Answer:

[tex]\log_{10}\sqrt{a} -\dfrac{3}{4}=\dfrac{1}{2}\log_{10}a-\dfrac{3}{4}[/tex]

Step-by-step explanation:

Given:

[tex]x=\dfrac{\sqrt{10a\sqrt{0.1}}}{10}[/tex]

Therefore:

[tex]\implies \log_{10}x=\log_{10}\left(\dfrac{\sqrt{10a\sqrt{0.1}}}{10} \right)[/tex]

[tex]\textsf{Apply the log quotient law}: \quad \log_a \left(\dfrac{x}{y}\right)=\log_ax - \log_ay[/tex]

[tex]\implies \log_{10}\sqrt{10a\sqrt{0.1}}-\log_{10}10[/tex]

[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]

[tex]\implies \log_{10}\sqrt{10a\sqrt{0.1}}-1[/tex]

[tex]\textsf{Apply radical rule: $\sqrt{ab}=\sqrt{a}\sqrt{b}$, \quad assuming $a \geq 0,\;b\geq 0$}[/tex]

[tex]\implies \log_{10}\left(\sqrt{10}\sqrt{a}\sqrt{\sqrt{0.1}}}\right)-1[/tex]

[tex]\textsf{Apply the log product law}: \quad \log_axy=\log_ax + \log_ay[/tex]

[tex]\implies \log_{10}\sqrt{10} + \log_{10}\sqrt{a} + \log_{10}\sqrt{\sqrt{0.1}}}\right)-1[/tex]

Rewrite the radicals:

[tex]\implies \log_{10} \left(10\right)^{\frac{1}{2}} + \log_{10}\sqrt{a} + \log_{10}\left(0.1\right)^{\frac{1}{4}\right)-1[/tex]

[tex]\textsf{Apply the log power law}: \quad \log_ax^n=n\log_ax[/tex]

[tex]\implies \dfrac{1}{2}\log_{10} 10 + \log_{10}\sqrt{a} + \dfrac{1}{4}\log_{10}0.1-1[/tex]

[tex]\textsf{Apply log laws}: \quad \log_aa=1 \quad \textsf{and} \quad \log_a\dfrac{1}{a}=-1[/tex]

[tex]\implies \dfrac{1}{2}(1) + \log_{10}\sqrt{a} + \dfrac{1}{4}(-1)-1[/tex]

[tex]\implies \dfrac{1}{2}+ \log_{10}\sqrt{a} -\dfrac{1}{4}-1[/tex]

[tex]\implies \log_{10}\sqrt{a} -\dfrac{3}{4}[/tex]

If you want to simplify further:

[tex]\implies \log_{10}\left(a\right)^{\frac{1}{2}} -\dfrac{3}{4}[/tex]

[tex]\implies \dfrac{1}{2}\log_{10}a-\dfrac{3}{4}[/tex]

Answer:

56

Step-by-step explanation: 10a+10 0.1 -=

Please help will mark Brainly

Answers

The equation of the line that includes CD, in slope-intercept form, is: B. y = -4/3x + 2.

How to Write the Equations of Parallel Lines and Perpendicular Lines?

To write the equations of two lines that are parallel or perpendicular to each other, recall that parallel lines have the same slope (m), while perpendicular lines have slopes that are negative reciprocals.

The slope of y = 3/4x - 11 is 3/4. The negative reciprocal of 3/4 is -4/3. Therefore, the slope of AB that is perpendicular to the graph of y = 3/4x - 11 is, m = -4/3.

Since the CD is parallel to AB, then CD will have the same slope of, m = -4/3.

To write the equation of the line that includes CD, substitute m = -4/3 and (a, b) = (-6, 10) into y - b = m(x - a):

y - 10 = -4/3(x + 6)

Rewrite in slope-intercept form:

y - 10 = -4/3x - 8

y = -4/3x - 8 + 10

y = -4/3x + 2

Learn more about the slope-intercept form on:

https://brainly.com/question/1884491

#SPJ1

show two examples of the associative property

Answers

Answer: show two examples of the associative property

Step-by-step explanation:
In addition: (2+5) + (3+3) or 1 + (5+3)
in multiplication: 6 x (7x5) or (7x5) x 6


:)

Show that the plane and line with the given equations intersect, and then find the acute angle of intersection between them. (Give the angle in degrees and round to one decimal place.) The plane given by x + y + 2z = 0 and the line given by x = 2 + t y = 1 - 2t z = 3 + t. Substituting the parametric equations for the line into the equation for the plane and solving for t gives t = so that the plane and the line intersect at the point (x, y, z) = (). What is the acute angle of intersection? theta = degree

Answers

The acute angle of intersection is  5.2°.

What is acute angle?

Less than 90 degrees is the acute angle measurement. Right angles are 90 degrees in length. Angles that are obtuse are more than 90 degrees. Discover the various sorts of angles and examples of each.

The direction vector normal to the plane is ...

 n = (1, 1, 3)

The direction vector of the line is ...

 m = (1, -3, 1)

Then the angle θ between them can be found from the dot product:

 n•m = |n|·|m|·cos(θ)

 (1·1 +1(-3) +3·1) = 1 -3 +3 = 1 = √(1²+1²+3²)·√(1²+(-3)²+1²)·cos(θ)

 1 = 11·cos(θ)

 θ = arccos(1/11) ≈ 84.8°

This is the angle between the line and the normal to the plane, so the angle between the line and the plane will be the complement of this. Since this angle is not 90°, the line and plane must intersect.

 acute angle = 90° -84.8° = 5.2°

To learn more about acute angle visit:https://brainly.com/question/10334248

#SPJ4

Other Questions
What do green Christmas lights mean? What was Nicolas Poussins art known to be?a.clear, detailedb.orderly, arrangedc.simplisticd.overt, dramatic he inlet pipe to the pump is 6.0-cm diameter commercial steel, 8.5 m in length. the discharge line is also 6-cm diameter commercial steel, 60 m long. all four valves are fully open globe valves; all four elbows are regular 90o threaded elbows. a) determine the flow rate through the system, in gal/min. setting the suid flag is a powerful and useful feature. it can have weaknesses associated with its use. which of the following statements identifies a weakness? ocean current created when surface water is blown away by the wind and the deeper water rises (moves) to replace the water blown away Legal Reminder W: Remember that contracts require that there be an offer, acceptance, and consideration. Contracts for illegal purposes are void (and, therefore, unenforceable.) Additionally, contracts entered into where one of the parties lacks capacity can also mean that the contract is unenforceable (minority, mental incapacity or insanity, intoxication are all examples of potential problems with capactiy; remember that generally capacity problems will make the contract voidable at the option of the person who lacks capacity - note that contracts with people for whom a guardian has been appointed are void, not voidable.) There are other circumstances that interfere with Genuiness of Assent (fraud, innocent misrepresentation, mutual mistake of material fact, duress, undue influence are all examples of problems with genuineness of assent)(which can also make a contract unenforceable.) It should also be noted that some contracts must be in writing to be enforceable. If there is a valid contract and it is enforceable, then the next question is whether there are any reasons why performance of the contract would be excused (frustration of purpose, impossibility of performance, and commercial impracticability are examples.) Next, we must look at whether the contract has been performed (substantial performance and the doctrine of cure-along with limitations to the remedy of cure-must be considered.) Lastly, if there has been a breach of the contract, then the damages should put the person in the position they should have been in had the contract been honored. Pay attention to the doctrine of specific performance, along with the importance of mitigation of damages and the limitations on consequential damages. Also, note the presence of third party rights (although remember that privity of contract ususally restricts rights and responsibilities of contract to the parties to the contract.)Refer to Legal Reminder W: Question W1:Assume that Red Riding Hood is now 18 years old. She promises to sell a basket of goodies to Mr. Woodsman for $40.00 to be delievered on Sunday on her way to Grandma's house. If Red Riding Hood does not deliver the basket as promised and Mr. Woodsman has to pay Goldilocks $50.00 for a comparable basket of goodies to eat for his Sunday dinner, then he can bring a civil action against Red Riding Hood for $10.00.TrueFalse Which of these equations represent the graph? kwan is driving a total of 234 miles. how long will his trip take him, to the nearest tenth of an hour, assuming he travels at this constant rate use proper units in a chi-squared test, if the null hypothesis is true, we expect the test statistic to be: A tranformer i deign to tep up 220 V to 2200 V. If the primary coil ha 200 turn, how many turn are on the econdary ? Find axis of symmetry Explain in details, the difference between budding and cutting between which two genes would you expect the highest frequency of recombination? occurred:French and Indian WarProclamation of 1763The Bloody Massacre (Boston Massacre)= Tea ActBoston Tea PartyShots Fired at Lexington and Concord= Revolutionary War for Independence= The Declaration of Independence How is Christmas celebrated in Switzerland? marketing is defined as a social and managerial process by which individuals and organizations obtain what they need and want through . group of answer choices sales and revenue creation manufacturing efficiencies innovation and creativity value creation and exchange research and development 016 (part 1 of 2) 10.0 pointsA neutron in a reactor makes an elastic headon collision with the nucleus of an atom initially at rest.Assume: The mass of the atomic nucleus isabout 11.1 the mass of the neutron.What fraction of the neutrons kinetic energy is transferred to the atomic nucleus?017 (part 2 of 2) 10.0 pointsIf the initial kinetic energy of the neutron is4.2 1013 J, find its final kinetic energy.Answer in units of J.No Rounding What is the absolute value of -(-22) A cheesy white discharge from the vagina, or whitish patches on the mouth or throat, called thrush, are due to infection with the fungal pathogen.a. Trueb. False 7. When a bacterium releases inter-species chemical molecules used for quorum sensing, what other bacteria candetect and respond to that signal?all bacteria in the areaonly bacteria that are from the same familyonly the exact same type of bacteriaall virulent bacteria in the host organism