One student surveys the number of pens which are sold in two stationary shops.The pens of both shops are sold in a week.In the first shop 60 pens are sold in the first day and 6 pens are sold more in everyday as comparison of previous day.Similarly in the second shop 5 pens are sold in the first day and the double number of pens are sold in everyday as comparison of previous day.Now in which shop how manv nens are sold more? Find it.Ans: 89 more in second shop​

Answers

Answer 1

Answer: 224 pens more sold in 2nd shop

Step-by-step explanation:

Given,    

1st shop, 6 pens are sold more than previous day,

      1st day : 60

      2nd day : 60+6 =66

      3rd day : 66+6 =72

      4th day : 72+6 =78

      5th day : 78+6 =84

      6th day : 84+6 =90

      7th  day : 90+6 =96  

Then,

2nd shop, each day doubles the previous sold,

      1st day: 5

      2nd day:5*2 =10

      3rd day:10*2 =20

      4th day:20*2 =40

      5th day:40*2 =80

      6th day:80*2 =160

      7th day:160*2 =320

Therefore, second shop sells more in a week which is calculated by 320-96=224 more sold than the 1st shop.


Related Questions

What is the slope of linear relationship?
Photo goes with qustion

A. 1/4
B. -4/1
C. 4/1
D. -1/4​

Answers

D -1/4 ,,,,,,,,,,,,,,,,,,,,,

Abdul was scuba diving 76 feet below the surface of the ocean. To get a closer look at a school of fish, he swam up 28 feet.
What is Abdul's position now relative to the surface of the ocean?

Answers

Answer:

-48 ft.

Step-by-step explanation:

-76+28= -48

Hope this helps! Had this on one of my quizzes

Answer:

-48 espero te sirva perdon por llegar tarde

what is answer to 3/7 x 5/2?

Answers

Answer:

15/14 or 1 1/14

Step-by-step explanation:

multiple the numerators and deno

3x5=15

7x2=14

15/14 or 1 1/14

Answer:

Step-by-step explanation:

Exact form

15/14

Decimal Form:

1.07142857........

mixed number is

1, 1/14

A cat gave to 3 kittens who each had a different mass between 147 znd 159 g. Then the cat gave birth to a 4th kitten with a mass of 57 g.
Kitten Mass (in grams)
Archer 147
Nate 153
Lisa 159
Bob 57
How will the birth of the 4th kitten affect the mean and median?
Choose 1 answer
A. Both the mean and median will increase, but the median will increase by more than the mean.
B. Both the mean and median will increase, but the mean will increase by more than the median.
C. The mean will increase, and the median will decrease.

Answers

The affect of mean and median due to the birth of the 4th kitchen is B. Both the mean and median will increase, but the mean will increase by more than the median.

The median is the middle value when the values are ordered from smallest to largest. In this case, the median of the first 3 kittens is 153 because it is the middle value of (147, 153, 159). The median of all 4 kittens is 153 because it is the middle value of (57, 147, 153, 159). The median does not change because the addition of the 4th kitten does not change the position of the middle value.

The mean is calculated by adding up all the values and dividing by the number of values. In this case, the mean of the first 3 kittens is:

(147 + 153 + 159) / 3 = 153

The mean of all 4 kittens is:

(147 + 153 + 159 + 57) / 4 = 128

The mean increases because the addition of the 4th kitten with a lower mass pulls the overall average down.

Learn more about median, here https://brainly.com/question/28060453

#SPJ4

If you wanted to make $798 by investing $6139 for 3 years in an account that pays simple interest, what interest rate you would need to achieve your goal?

Answers

Answer:

Below

Step-by-step explanation:

6139 * x * 3 = 798

x = 798/(3*6139) = .0433= 4.33%

URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!

Answers

Answer:

point

vertex

one

face

face

circular

length

area

volume

Maximum revenue Imagine this scenario: You are trying to fulfill you dream of opening your own business, designing and selling coffee mugs. After many years and hours of studying for college, you feel that there is a big demand for coffee mugs. You are trying to get a contract with a local store to be the sole provider of coffee mugs. You and your company partner are researching how many coffee mugs must be produced and sold for maximum revenue. After extensive research, you concluded that you could give away 50 coffee mugs without charging anything. If you charge $10.00, nobody will buy the coffee mugs. Your job is to find the maximum possible revenue from selling the coffee mugs. Answer the following questions:
1. Graph the linear relationship between the price of coffee mugs p, and the number of coffee mugs sold S . Hint: To give away 50 coffee mugs means when the price p=0 , S(0) = 50. Plot that point on the graph. Find one more point using the other given condition. Keep in mind S(p) is a linear function.
2. Find the equation of the linear function S(p) that describes the situation.
3. The revenue is determined by R = S p. Express the revenue as a function of the price p.
4. Graph the revenue function. Make sure to label the x - and the y - axis with the appropriate units.
5. At which price per coffee mug do you not make any money?
6. Find the price per coffee mug that makes the most revenue.
7. How many coffee mugs must be made to maximize the revenue?
8. What is the maximum revenue? 9. How many coffee mugs must be sold to make at least $50 in revenue?

Answers

Therefore at $5 you selling 15 mugs will generate the maximum revenue.

What is a graph?

In discrete mathematics, a graph is made up of points called vertices, and the connecting lines between them are called edges. Simple graphs, linked and unconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and linked and unconnected graphs are only a few of the numerous varieties of graphs.

Here,

For $0 for , 50 mugs be sold

For $10 for , 0 mugs be sold

Thus, from graph

1)  Slope= 50/-10 =-5

2) m(p)= -5(p-10) =-5p +10

=> m(p) =10 -5p

3)Revenue R(p) = m(p)

R(p) = 10 -5p

4) point(5,15)

5) at price p =0 , p=5 , we do not make any money

6)At $5 most revenue is made

7)when p=5

R(p) = 10 -5(5)

R(p) = 15

Thus , 15 coffee mugs will yield max revenue

8)Max revenue = $45

To know more about graph , visit

brainly.com/question/17267403

#SPJ4

c) If the gradient of a line, C, is a 2/3 , what is the gradient of the line which is perpendicular to C?​

Answers

Any line perpendicular to line C must have a slope equal to -3/2.

Which is the slope of a line perpendicular to line C?

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Two linear equations are perpendicular if the product between the slopes is -1, then if the slope of the line perpendicular to line C is x, then we can write:

x*(2/3) = -1

Solving for x we get:

x = -3/2

That is the slope of the perpendicular line.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Multiply. State the product in simplest form..
p²-4p-12
18p
6p+12 p²-9p+18
, p‡ - 2,3,6

Answers

The simplest form of [(p²- 4p -12)/(6p + 12)] × [18p/(p²-9p+18)] is 3p/ (p - 3).

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given expression is

[(p²- 4p -12)/(6p + 12)] × [18p/(p²-9p+18)]

Now factories p²- 4p -12, p²-9p+18, and 6p + 12:

p²- 4p -12

= p²- (6 - 2)p -12

= p²- 6p + 2p -12

= p(p - 6) + 2(p - 6)

=(p - 6)(p + 2)

p²- 9p + 18

= p²- (6 + 3)p + 18

= p²- 6p -3p + 18

= p(p - 6) -3(p -6)

=(p - 6)(p - 3)

6p + 12

=6(p+2)

Now putting p²- 4p -12 = (p - 6)(p + 2); p²- 9p + 18 = (p - 6)(p - 3); 6p + 12 = 6(p+2) in the given expression:

[ (p - 6)(p + 2)/6(p+2)] × [18p/(p - 6)(p - 3)]

Multiply the denominator with denominator and numerator with numerator:

= 18p (p - 6)(p + 2)/ 6(p+2)(p - 6)(p - 3)

Now cancel out (p+2)(p - 6) from denominator and numerator:

= 18p/ 6(p - 3)

Divide denominator and numerator by 6:

= 3p/ (p - 3)

To learn more about factorization, click on below link:

https://brainly.com/question/15156431

#SPJ1

This bar chart shows the numbers of pets owned by people
questioned in a survey. Note that the scale on the vertical
axis is missing.
The total number of pets
owned by the respondents
is 92.
How many people owned
exactly 2 pets?

Answers

Answer:  C. The width of the bar representing dogs is more than the widths of the other bars.

Step-by-step explanation: The following statements describes how this Bar Chart misrepresents the data.

X1,..., X are i.i.d. standard normal variables. Denote by An the sample mean of the squares of these variables: 1.:- x - - * - }(x2 + x3 + .. + x2). 1 Recall An= = x. For very large n, the distribution of (An-a) is approximated best by ... (In the choices below, the parameter for the normal distributions N (4,0") are the mean w and the variance o?.) O N (0,1) O N (0,2) O N (0,n) O N (0,2n) O x x. Define a sequence of random variables B, Does the sequence of random variables Bre n converge in probability to a constant b? If yes, enter the value of b below, if no, enter "DNE". (Enter e for the constant e)
B6- As above, let a be the limit in probability of An, ie. An a, and b be the limit in probabiity of Bn = 4, i.e. Br*b, if these limits exist. Does the sequence of random variables (Br-b) converge in distribution? Choose the correct characterization of the limit distribution: O N (0,1) O N 0, "Var (X2) O N (0, "Var (x2)) O N (0, 24Var (X²)) O N 0, e?Var (An)) O Does not converge in distribution

Answers

Answer:

Define a sequence of random variables B, Does the sequence of random variables Bre n converge in probability to a constant b? If yes, enter the value of b below, if no, enter "DNE". (Enter e for the constant e)

B6- As above, let a be the limit in probability of An, ie. An a, and b be the limit in probabiity of Bn = 4, i.e. Br*b, if these limits exist. Does the sequence of random variables (Br-b) converge in distribution? Choose the correct characterization of the limit distribution: O N (0,1) O N 0, "Var (X2) O N (0, "Var (x2)) O N (0, 24Var (X²)) O N 0, e?Var (An)) O Does not converge in distribution

Step-by-step explanation:

Define a sequence of random variables B, Does the sequence of random variables Bre n converge in probability to a constant b? If yes, enter the value of b below, if no, enter "DNE". (Enter e for the constant e)

B6- As above, let a be the limit in probability of An, ie. An a, and b be the limit in probabiity of Bn = 4, i.e. Br*b, if these limits exist. Does the sequence of random variables (Br-b) converge in distribution? Choose the correct characterization of the limit distribution: O N (0,1) O N 0, "Var (X2) O N (0, "Var (x2)) O N (0, 24Var (X²)) O N 0, e?Var (An)) O Does not converge in distribution

The correct characterization of the limit distribution and other Questions are answered in the following steps.

For the first question, the distribution of (An-a) is approximated best by N(0, n) because the variance of the sample mean of i.i.d. standard normal variables is 1/n.

For the second question, since An converges in probability to a constant, Bn = 4An also converges in probability to 4a. Therefore, the sequence of random variables (Bn-b) does converge in distribution.

For the third question, the limit distribution of (Bn-b) is N(0, 4^2 * n) because the variance of the product of a random variable and a constant is the constant squared times the variance of the random variable.

Learn More about Limit Distribution here:

https://brainly.com/question/13652429

#SPJ4

5. (8.51) What is the equation of the line shown?
HELP PLEASE!!

Answers

Answer:

D

Step-by-step explanation:

D. If it's not D, C. It's a negative slope with a negative y-intercept of -1

Estimate y when x = 8 from the best fitted straight line y = 13.06 + 0.6x.

Answers

Answer:

  17.86

Step-by-step explanation:

You want to find y when x=8 using the equation y = 13.06 +0.6x.

Evaluation

Put the value of the variable in place of the variable in the equation, and do the arithmetic.

  y = 13.06 +0.6x

  y = 13.06 +0.6·8 . . . for x=8

  y = 13.06 +4.8

  y = 17.86

The estimated value of y for x=8 is 17.86.

Express 2678 as a product of prime numbers

Answers

Answer:

2, 13, 103

Step-by-step explanation:

These prime numbers are the ones.

2678 = 2 * 13 * 103

A prime number is a natural number that is greater than one and is not a product of smaller natural numbers. For example,  3 is a prime number and we can write it as a product, 1 * 3 or 3 * 1, which involves 3 itself.

So, prime numbers are those numbers that have only two factors, which are 1 and the number itself.

A natural number that is greater than 1 and is not a prime number, is called a composite number. Every natural number which is greater than 1, is either a prime itself or can be factorized as a product of primes that is unique up to their order.

The answer is -

    2678 = 2 * 13 * 103

Read more about prime numbers :

https://brainly.com/question/23902895

DIG DEEPER You start a new job. After w weeks, you have (10w + 120) dollars in your savings account and ( 45w + 25) dollars in checking account. how much money do you save each week?

Answers

The sum of both accounts' expression in its most basic form is 55w + 145.

What is an expression?

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms into an expression, a mathematical operation like reduction, addition, multiplication, or division is used.

As per the instructions given in the question,

Amount in savings account = 10w + 120

Amount in checking account = 45w + 25

Then, total money shaved each week will be,

(10w + 120) + (45w + 25)

10w + 45w + 120 + 25

= 55w + 145

To know more about Expression:

https://brainly.com/question/14083225

#SPJ1

Suppose your PRNG uses the following formula: X = X * 3 - 2. And suppose that X is 5. What are the next three numbers that would be generated?

Answers

The next three numbers that would be generated are 13, 37, and 109.

What is formula?

Formula is a mathematical expression that is used to calculate the value of a particular quantity, such as a number, a quantity of a certain type of material, or a number of elements. The most common form of a formula is an equation, which contains two or more variables and is written in the form of a mathematical expression. Formulas are used in many disciplines, including physics, chemistry, engineering, and economics, to solve problems and determine relationships between quantities.
This is because the formula applies the operation of multiplying the current number by 3 and then subtracting 2. Applying this formula to 5 gives 13, and then applying the formula to 13 gives 37, and so on. The resulting sequence is 5, 13, 37, 109, and so on. This is a simple PRNG that can be used to generate sequences of random numbers.

To know more about formula click-

https://brainly.com/question/21140562
#SPJ4

If you are given an equation of a line
and a set of points, and are asked to find
an equation that is perpendicular to Line
#1, what do you need to do?

Answers

If you are given an equation of a line and a set of points, you should determine the slope of the equation that is perpendicular to the given equation of line. Lastly, you should use the set of points to write an equation for the perpendicular line.

How to determine an equation of this line?

Mathematically, the slope-intercept or standard form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

m represents the slope.x and y are the points.c represents the y-intercept.

In Mathematics, a condition that must be met for two lines to be perpendicular is given by this mathematical expression:

m₁ × m₂ = -1

Assuming the given equation of a line is y = 2x, the slope of the equation that is perpendicular to this line would be calculated as follows;

m₁ × m₂ = -1

2 × m₂ = -1

Slope, m₂ = -1/2.

In conclusion, you will use the newly calculated slope alongside the set of points to determine the equation for the perpendicular line either by using the slope-intercept form or point-slope form.

Read more on slope here: brainly.com/question/3493733

#SPJ1

Find the perimeter of the figure shown above with aside length 5 unit

Answers

The perimeter of the figure with side length of 5 units is 50 units

How to determine the perimeter of the figure

From the question, we have the following parameters that can be used in our computation:

Shape = rectangle

Smaller shapes = squares

Side lengths = 5 units

The perimeter of the figure is calculated as

Perimeter  = Number of visible sides * Side length of the square shape

In this case, we have

Number of visible sides = 10

Substitute the known values in the above equation, so, we have the following representation

Perimeter  = 10 * 5

Evaluate the products

Perimeter  = 50 units

Hence, the perimeter is 50 units

Read more about perimeter at

https://brainly.com/question/18019422

#SPJ1

Find the value of x in the following equation:

1.2(3x + 5) = 3.6x + 6
A:Infinite solutions
b: No solution
c: x = 1.8
d: x = 0

Answers

Answer:

A:Infinite solutions

Step-by-step explanation:

1.2 ( 3x + 5 ) = 3.6x + 6

1.2 ( 3x ) + 1.2 ( 5 ) = 3.6x + 6

3.6x + 6 = 3.6x + 6

Answer: A

Step-by-step explanation:

In the figure below, R is between Q and S, and S is between R and T. If QS = 12, RT=9, and QT=17, find RS.

Answers

In the given figure QT is of 16 units.

What is a line segment ?

A line segment has two end points unlike a line which can extend indefinitely in both the directions.

According to the given question S is between Q and T and R is the midpoint of QS. RS=4 And RT= 12 we have to find QT.

As R is the midpoint of QS It will be twice of RS which

= 8 units.

And if RS is 4 units then QR is also 4 unit as R is the midpoint.

QT = QR + RT.

QT = 4 + 12

QT = 16 units.

To know more about line segment visit:

https://brainly.com/question/25727583

#SPJ1

NO LINKS!!
Write an expression for the apparent nth term a_n of the sequence. (Assume that n begins with 1).
1, 1/2, 1/6, 1/24, 1/120, . . .

a_n =

Answers

Answer:

The apparent nth term of the given sequence is given by the formula:

a_n = 1 / n!

where n! is the factorial of n, defined as the product of all positive integers less than or equal to n.

For example, the first term of the sequence is 1/1! = 1/1 = 1, the second term is 1/2! = 1/2 = 1/2, the third term is 1/3! = 1/6, and so on.

Therefore, the expression for the apparent nth term of the sequence is:

a_n = 1 / n!

Answer:

[tex]a_n=\dfrac{1}{n!}[/tex]

Step-by-step explanation:

Given sequence:

[tex]1,\; \dfrac{1}{2},\; \dfrac{1}{6}, \; \dfrac{1}{24}, \; \dfrac{1}{120}, \; ...[/tex]

Analyse each term in the sequence:

[tex]a_1=\dfrac{1}{1}=\dfrac{1}{1 \times 1}=\dfrac{1}{1!}[/tex]

[tex]a_2=\dfrac{1}{2}=\dfrac{1}{2 \times 1}=\dfrac{1}{2!}[/tex]

[tex]a_3=\dfrac{1}{6}=\dfrac{1}{3 \times 2 \times 1}=\dfrac{1}{3!}[/tex]

[tex]a_4=\dfrac{1}{24}=\dfrac{1}{4 \times 3 \times 2 \times 1}=\dfrac{1}{4!}[/tex]

[tex]a_5=\dfrac{1}{120}=\dfrac{1}{5 \times 4 \times 3 \times 2 \times 1}=\dfrac{1}{5!}[/tex]

The exclamation mark "!" placed after a number means factorial.

It means to multiply all whole numbers from the given number down to 1.   Example:  4! = 4 × 3 × 2 × 1

Therefore, the equation for the nth term of the given sequence is:

[tex]a_n=\dfrac{1}{n!}[/tex]

Evaluate the expression when c=4 and d=5.
d+6 c

Answers

Answer:

29 is the correct answer

The correct answer is 29.

Which graph represents the inequality y ≥ 2−2x?




I took a guess on this question. I just want to be sure my guess was right!

Answers

Answer:

Yes, your answer would be correct.

Step-by-step explanation:

That graph intersects at (0, 2), is a solid line, and the slope is -2.

one urn, u1, contains one blue ball (labeled b1) and three red balls (labeled r1, r2, and r3). a second urn, u2, contains two red balls (labeled r4 and r5) and two blue balls (labeled b2 and b3). an experiment is performed in which one of the two urns is chosen at random and then two balls are randomly chosen from it, one after the other without replacement.

Answers

Two urns contains different numbers of different colour balls. Two balls are randomly chosen from both of urns. The probability that two red balls are choosen is 1/3..

We have given that

First Urn, u₁ contains 3 Red( labelled r₁,r₂,r₃) ; 1 blue ball ,(labelled b₁).

Total number of balls in urn, u₁ = 4 balls

Second Urn, u₂ contains 2 red (labelled r₄,r₅) and 2 blue (labelled b₂, b₃) .

Total number of balls in urn, u₂ = 4 balls

Assume , A = first urn , u₁ is selected

Assume, B = Second urn u₂ is selected

Assume , R = selected balls are red

Case 1 : Urn u₁ is choose and two balls without replacement are withdraw.

Probability to choose the first urn, P(A) = 1/2

Probability that the two withdraw without replacement balls are red in colour, P(A/R)

= 3/4 × 2/3 = 1/2

Case 2 : Urn u₂ is choose and two balls without replacement are withdraw.

Probability to choose the second urn, P(B) = 1/2

Probability that the two without replacement withdraw balls are red in colour, P(B/R)

= 2/4 × 1/3 = 1/6

The required probability= P(A) P(A/R) + P(B)P(B/R) = 1/2(1/2) + 1/2(1/6) = 1/4 + 1/12

= 4/12 = 1/3

Hence, the required probability is 1/3..

To learn more about probability, refer:

#SPJ4

Complete question:

One urn u1, contains one blue ball (labeled B1) and three red balls (labeled R1, R2, and R3). A second urn u2 contains two red balls (R4 and R5) and two blue balls (B2 and B3). An experiment is performed in which one of the two urns is chosen at random and then two balls are randomly chosen from it, one after the other without replacement. Probability that two red balls are choosen.

a random sample of 100100 observations from a population with standard deviation 17.037078307720517. yielded a sample mean of 93.1). Given that the null hypothesis is μ≤90 and the alternative hypothesis is μ>90 using α=.05, find the following:(a) Test statistic(b) P-value:(c) The decision for this test is:i. Reject the null hypothesis.ii. Fail to reject the null hypothesis.

Answers

1)Test Static: 1.82

2)P-Value: < 0.05

3)Decision: i. Reject the null hypothesis.

To test the claim that the population mean is greater than 90, we can use a one-sample t-test.

(a) The test statistic for the one-sample t-test is calculated as:

t = (sample mean - population mean) / (standard deviation / sqrt(sample size))

Plugging in the values, we get:

t = (93.1 - 90) / (17.037078307720517 / sqrt(100)) = 3.1 / (17.037078307720517 / 10) = 3.1 / 1.7037078307720517 = 1.82

(b) To find the p-value for the test, we can use a t-table or a statistical software package to find the probability of observing a t-value as extreme or more extreme than the one we obtained, given that the null hypothesis is true. For a one-tailed test with α = 0.05 and df = 99 (the sample size - 1), the critical value for t is approximately 1.65. Since our test statistic (1.82) is greater than the critical value, the p-value is less than 0.05.

(c) Since the p-value is less than the significance level of α = 0.05, we reject the null hypothesis and conclude that the population mean is indeed greater than 90. Therefore, the decision for this test is: i. Reject the null hypothesis.

Learn more about one-sample t-test here:

https://brainly.com/question/26717173

#SPJ4

PLEASE HELP ASAP
A line that passes through the points (-1, -4) and (4, 2) is shown.
Which equation is the equation of the line that is perpendicular to the given line and passes through the point (-3, 7) ?

Answers

Answer:

D

Step-by-step explanation:

slope of the given line :

(-4-2)/(-1-4)

-6/-5

6/5


slope of a perpendicular line : -5/6

y-7 = -5/6 (x-(-3)

y -7 = -5/6 (x+3)

y -7 = -5/6 x - 5/2

5/6 x + y - 7 + 5/2 = 0

5/6 x + y + (-14 + 5)/2 = 0

5/6 x + y - 9/2 = 0

5x + 6y - 27= 0

5x + 6y = 27

Answer:

D

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, - 4 ) and (x₂, y₂ ) = (4, 2 )

m = [tex]\frac{2-(-4)}{4-(-1)}[/tex] = [tex]\frac{2+4}{4+1}[/tex] = [tex]\frac{6}{5}[/tex] ← slope of graphed line

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{6}{5} }[/tex] = - [tex]\frac{5}{6}[/tex] , then

y = - [tex]\frac{5}{6}[/tex] x + c ← is the partial equation of the perpendicular line

to find c substitute (- 3, 7 ) into the partial equation

7 = [tex]\frac{5}{2}[/tex] + c ⇒ c = 7 - [tex]\frac{5}{2}[/tex] = [tex]\frac{14}{2}[/tex] - [tex]\frac{5}{2}[/tex] = [tex]\frac{9}{2}[/tex]

y = - [tex]\frac{5}{6}[/tex] x + [tex]\frac{9}{2}[/tex] ← equation in slope- intercept form

multiply through by 6 ( the LCM of 6 and 2 ) to clear the fractions

6y = - 5x + 27 ( add 5x to both sides )

5x + 6y = 27 ← equation of perpendicular line in standard form

As a hardworking student, plagued by too much homework, you spend all night doing math homework. By 6am, you imagine yourself to be a region bounded by
y = 8 x^2
x=0
x=4
y=0
As you grow more and more tired, the world begins to spin around you. However, according to Newton, there is no difference between the world spinning around you, and you spinning around the world. Unfortunately, you are so tired that you think the world is the x-axis. What is the volume of the solid you (the region) create by spinning about the x-axis?

Answers

The volume of the solid you (the region) create by spinning about the x-axis is V = 225units³

How is the volume of a solid object calculated?

Depends whether it is a solid with sides, height, and depth. In this case it is the multiplicarion of the three to get the volume.

If it is an irregular shaped object it is done by water displacement. Fill a container with a known amount of water, immerse the object, and the difference in volume in the water is the volume of the object.

How do I find the volume of an irregular shape?

Break the volume down into prisms and pyramids that you can calculate the volume of and sum the pieces up to get the total volume. If the shape has curved surfaces, it gets much more complicated.

This gives a y = 15

                   x = 3

The straight line equation will be y = 5x

The volume of a pyramid is given by the following equation:

where r = radius of the base

          h= height of the cone

from the graph, roating about the x - axis gives h = 3, r = 15

Volume =

            = 225  units³

Volume of cone formed is 225  units³.

To learn more about volume of the solid visit:

https://brainly.com/question/12649605

#SPJ4

Which ordered pairs are solutions to this system of inequalities?
x+5 y>8
4 x-y<6
Select each correct answer.
(2,-3)
(-1,5)
(10,2)
(-4,1)
(0,4)
(-6,7)

Answers

The ordered pairs to the system of linear inequality are (-1, 5), (0, 4), (-6, 7)

System of Linear Inequality

A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.

In the problem given;

x + 5y > 8 ...eq(i)

4x - y < 6 ...eq(ii)

From eq(i)

x + 5y > 8

x > 8 - 5y ...eq(iii)

however, this can easily be solved using a graph.

Plotting the inequality in a graph line;

The ordered pairs are (-1, 5), (0, 4), (-6, 7)

Learn more on system of linear inequality here;

https://brainly.com/question/23093488

#SPJ1

What is the measure of ZE, in degrees? D 48 5 O A. Cannot be determined OB. 48° O C. 96° D. 84°. :)​

Answers

Answer:

84

Step-by-step explanation:

EFD is an iscosilies triangle therefore angle F = angle D = 48

and therefore angle E= 180-48-48=84

PLEASE HELP WILL GET BRAINLIEST!!

Answers

Answer:

235.5

Step-by-step explanation:

cylinder volume formula

V = pi * r^2 * h

V = 3.14 * 5^2 * 3

V = 3.14 * 25 * 3

V = 3.14 * 75

V = 235.5

Other Questions
If one abiotic factor changed drastically, what effect would that have on the ecosystem? Can someone help me I am stuck on this question it would mean the world if u helped me =) have a nice day! What is the length of JK, to the nearest tenth of a millimeter? 4.5 mm 5.6 mm 8.3 mm 19.9 mm A horizontally-aligned scalene triangle J K L. Side J L is labeled as 3 millimeters. Side L K is labeled as 5 millimeters. Angle L is labeled as 62 degrees. Jill graduated from college and started a new career. She works as a merchandise buyer for a large dog outfitter, so she spends her days tracking the runways of the latest dog fashion shows and then purchasing clothes for her bosses to sell in their store and online. Jill is very close to her mother and talks to her every day, telling her how much she loves what she does. However, her boss is mean, never gives Jill any praise, and often ridicules her for her poor choices in doggy sweaters. This results in Jill becoming very unhappy.What level of Maslow's hierarchy of needs is Jill having difficulty achieving? 6 8ths -2 8ths thanks please explain to Can someone pls help me with this question 16. Solve for x. x = __________ I need help please. No links/ irrelevant answers or I will report youData:2Fe(s) + O2(g) => 2FeO(s) H = -545.6 kJ4Fe(s) + 3O2(g) => 2Fe2O3(s) H = -1,643.6 kJ3Fe(s) + 2O2(g) => Fe3O4(s) H = -1,117.7 kJGiven the data above, determine the heat of reaction, H, for the reaction:2 Fe3O4(s) => 2 Fe2O3(s) + 2 FeO(s) PLEASE HELP! I'LL GIVE BRAINLEST Which of the sentences below correctly replaces the direct object in the following sentence with a direct object pronoun ik aime led filles Exercise 2. Test My KnowledgeDirections: Give the most essential things to do in order to prevent acute upperrespiratory infection.1.2.3.4. Two hockey teams, the Winnipeg Jets (yay!) and the Toronto Maple Leafs (boo!), miraculously make it tothe Stanley Cup finals. As soon as a team wins 3 games, the championship is over.The schedule for the playoffs (for home games) is: Jets - Leafs - Jets - Leafs - JetsIf the Jets are playing at home, there is a 60% chance they'll win. If they are playing on the road, there isa 45% chance they'll win.Find the probability that the Jets win the Stanley Cup. Round answers to at least 4 decimal places.Can anyone help me please. No links please Elena would like to know the average height of seventh graders in her school district. She measures the heights of everyone in a random sample of 20 students. The mean height of Elena's sample is 62 inches, and the MAD (mean absolute deviation) is 2 inches. SELECT ALL TRUE STATEMENTS.a. The median height of the sample must be between 59 and 63 inches.b. Another random sample of 20 students is likely to have a mean between 57 and 65 inchesc. The mean height of these 20 students is likely to be the same as the mean height of all students in the district.d. The mean height of these 20 students is likely to be the same as the mean height of a second random sample of 20 students.e. Elena would be more likely to get an accurate estimate of the mean height of the population by sampling 40 people instead of sampling 20 people. 1. What salts do volcanoes add to seawater? How are these salts added WILL GIVE BRAINLIEST!!! Your partner on a project wants to create a scientific survey report to explore what it was like to live in Japanese internment camps during World War II. Do you agree that this media form would work best for this particular history presentation? Why or why not? Need help on science ASAP HEL PLZ DUE IN 1 MINUTE!!!!!3 Tek has a figure with exactly one rectangular base. Which of the following could be the shape of Teks figure? A Triangular prism B Rectangular prism C Triangular pyramidD Rectangular pyramid Are these ratios equivalent?28 hot dogs to 50 hamburgers15 hot dogs to 30 hamburgers What was the purposes of "killing centers"? Solve the system using the substitution method. -5x 8y = 17 x = 3.5y 8.5 NO LINKS PLEASE HELP LINKS = REPORT