Answers
Answer:
19.9 m
Step-by-step explanation:
Cone: r= 1m Height= 2m (You will use the radius for the Cylinder)
1/3 x π x 1^2 × 2 = 2.0943951023932
2.0943951023932 x 2 = 4.1887902047864 (Just use the hundreths place if writing down.)
Cylinder: r= 1m Height= 5m
π x 1^2 x 5 = 5π = 15.707963267949
Now add both together then round to tenths.
4.1887902047864 + 15.707963267949 = 19.8967534727354
(Remember use hundreths place if writing down)
19.8967534727354 --> 19.9 m
Related Questions
a family is thinking about buying a house costing 350,000. they will pay 20% down, and the rest to be amoritized over 30 years
Answers
The family monthly payment on annual interest is 1691.
What is annual interest rate?
The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR). APR is a percentage that expresses the actual annual cost of borrowing money throughout the course of a loan or the revenue from an investment.APR stands for annual percentage rate, which takes fees into account. The APR is stated as a percentage, just like an interest rate. It does, however, contain other costs or fees such mortgage insurance, the majority of closing costs, discount points, and loan origination fees, unlike an interest rate.Calculation of amount payable to the bank
Cost of House - 350000
Down payment 10% - 35000
Amount payable - 315000
]5% Annual interest rate and compounded monthly is 186.28030751
A) family monthly payment= Amount payable/Annuity factor =315000/186.28030751 =1691
B)Total interest paid on loan =293756.40
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A rectangular field is 60 meters wide and 100 meters long.
Give the length and width of another rectangular field that has the same perimeter but a larger area.
Answers
Answer:
80 Meters by 80 Meters
Step-by-step explanation:
Perimeter is the distance around the rectangle. 60+60+100+100 = 320
The perimeter is 320 meters.
Area = Length times width
The area would be
100x 60 = 6,000 [tex]m^{2}[/tex]
If we change the length and width to 80 meters we would have the same perimeter
80+80+80+80 = 320 Meters, but the area would be larger
Area = 80 x 80 = 6,400 [tex]m^{2}[/tex]
Rick deposits $3 into his bank account. The following week, he deposits 3 times that amount. Each week after that, he deposits 3 times the amount he did the previous week. How much does he deposit in all during the first 3 weeks?
Answers
Answer:
Step-by-step explanation:
Rick desposits 3$ into his account:
b=Rick's bank balance
b+3
The following week, he deposits 3 times that amount:
3*3=9
2nd week= b+9
Each ewek after that, he deposits 3 times the amount he did the previous week:
3rd week = b+9x3
3rd week = b+27
How much does it deposit in all during the first 3 weeks?
1st week = $3
2nd week = $9
3rd week = $27
3+9+27=39
ANSWER:Rick deposits $39 in the first 3 weeks
Answer for second question:
d=dollars
w=weeks
d=[tex]d=3^2[/tex]
"One who performs his duty without attachment, surrendering the results unto the Supreme Lord, is unaffected by sinful action, as the lotus leaf is untouched by water." - Krishna, Bhagavad Gita 5.10
Thanks, I hope I could help
Miraculous21
during a month with 30 days, a baseball team plays at least one game a day, but no more than 45 games. show that there must be a period of some number of consecutive days during which the team must play exactly 14 games
Answers
The period of some number of consecutive days during which the team must play exactly 14 games should be that 2 games plays at these days 1,5,10,15,20,25,30 individually....
As there are 30 days in a month.
So we have to arrange these 14 games during this time period of 30 days,
Which will be arranged as:
suppose its 1 st month of 2023,
So,
2 games at day = 1/1/2023
2 games at day = 5/1/2023
2 games at day = 10/1/2023
2 games at day = 15/1/2023
2 games at day = 20/1/2023
2 games at day = 25/1/2023
2 games at day = 30/1/2023
So from here we conduct:
2+2+2+2+2+2+2= 14 games
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The range of sound intensities that the human ear can detect is so large that a special decibel scale (named after Alexander Graham Bell) is used to measure and compare sound intensities. The decibel level (dB) is given by I dB(I) = 10 log Io log() where Io is the intensity of sound that is barely audible to the human ear. Use the decibel level formula to find the decibel level for the following sounds. Round to the nearest tenth of a decibel. I = 1.58 x 108 · 10 (a) Automobile traffic, dB I = 10,800 · Io (b) Quiet conversation, dB (c) Fender guitar, dB I = 3.16 * 1011.10 (d) Jet engine, dB I = 1.58 x 1015. Io
Answers
For automobile traffic, dB=81.987657 dB.
For quiet conversation is 40.33423 dB.
For fender guitar, 115.56302 dB.
For jet engine, 151.98657 dB.
(A)
The intensity of automobile traffic is, I=1.58x10^8 I.
Given: dB=10 log (I/I0)
Substituting the value of I,
dB= 10 log (1.58x10^8 I/I)
=10 log (1.58x10^8)
Using the logarithm property,
=10 (log (1.58)+log (10^8))
=10 (log (1.58)+8 log (10)
=10( log (1.58)+8(1)
=80+1.98657
=81.98657
Thus, for automobile traffic, dB=81.987657 dB.
B)
Quiet conversation, I=10800 I0
dB= 10 log (10800 I0/I0)
=10 log (10800)
=10 log (1.08x10^4)
=10 log (1.08)+log (10^4)
=10 (log (108)+4log (10))
=10 (log (1.08+4*(1))
=40+10 log (1.08)
=40+0.33423
=40.33423 dB.
Thus, for quiet conversation is 40.33423 dB.
C)
Fender guitar, I=3.16x10^11 I0
dB= 10 log (3.16x10^11 I0/I0)
=10 (log (3.16)+11)
=110+10 log (3.16)
=110+5.56302
=115.56302
Thus, for fender guitar, 115.56302 dB.
D)
Jet engine, I=1.58x10^5 I0
dB= 10 log (1.58x10^15 I0/I0)
=10 (log (1.58)+15)
=150+10 log (1.58)
=150+1.98657
=151.98657
Thus, for jet engine, 151.98657 dB.
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Colorectal cancer (CRC) is the third most commonly diagnosed cancer among Americans (with nearly 147.000 new eases), ami the third leading cause of cancer death (with over 50.000 deaths annually). Research was done to determine whether there is a link between obesity and CRC mortality rates among African Americans in the United States by county. Below is the least-squares regression analysis from R-Studio. Parameter estimates: What does the slope mean in the context of the problem? The correlation between obesity rates and mortality rales is (circle one): Strong Very weak Moderately strong Write the equation for the least squares regression line (make sure to use the correct variable names):
Answers
The correlation between the obesity rate and the mortality rate is moderately strong.
In math correlation is defined as the a statistical measure that expresses the extent to which two variables are linearly related
Here we have given that Colorectal cancer (CRC) is the third most commonly diagnosed cancer among Americans (with nearly 147.000 new eases), ami the third leading cause of cancer death (with over 50.000 deaths annually).
Here the Research was done to determine whether there is a link between obesity and CRC mortality rates among African Americans in the United States by county.
And we need to find the correlation between obesity rates and mortality rates.
While we looking into the given question we have identified that the regression analysis was carried out to find the relationship between the obesity and CRC mortality rates so the response variable is mortality rate and input variable is obesity.
Therefore, the correlation is moderately stronger than the analyzed data.
Therefore, option (c) is correct.
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A city council consists of 10 members. Four are Republicans, three are Democrats, and three are Independents. If a committee of three is to be selected, find the probability of selection..
1. All Republicans. Round your answer to five decimal places. ??
2. All Democrats. Round your answer to five decimal places. ??
3. One of each party. Round your answer to five decimal places. ??
4. Two Democrats and one Independent. Round your answer to five decimal places. ??
5. One Independent and two Republicans. Round your answer to five decimal places.??
Answers
P(A) = n! / (r! * (n-r)!)
Where:
-P(A) is the probability of event A occurring
-n is the total number of items (in this case, the total number of council members)
-r is the number of items we are choosing (in this case, the number of members on the committee)
Using this formula, we can find the probability of each event as follows:
-All Republicans: There are 4 Republicans on the council, and we are selecting 3 of them for the committee. Therefore, the probability is:
P(A) = 10! / (3! * 7!) = 120 / (6 * 5040) = 1/42 = 0.02381
-All Democrats: There are 3 Democrats on the council, and we are selecting 3 of them for the committee. Therefore, the probability is:
P(A) = 10! / (3! * 7!) = 120 / (6 * 5040) = 1/42 = 0.02381
-One of each party: There are 4 Republicans, 3 Democrats, and 3 Independents on the council, and we are selecting 1 of each for the committee. There are a total of 10 * 9 * 8 = 720 ways to select 1 member from each party. Therefore, the probability is:
P(A) = 720 / (10 * 9 * 8) = 1/56 = 0.017857
-Two Democrats and one Independent: There are 3 Democrats and 3 Independents on the council, and we are selecting 2 Democrats and 1 Independent for the committee. There are a total of 3 * 2 * 3 = 18 ways to select these members. Therefore, the probability is:
P(A) = 18 / (10 * 9 * 8) = 1/280 = 0.003571
-One Independent and two Republicans: There are 4 Republicans and 3 Independents on the council, and we are selecting 2 Republicans and 1 Independent for the committee. There are a total of 4 * 3 * 3 = 36 ways to select these members. Therefore, the probability is:
P(A) = 36 / (10 * 9 * 8) = 1/140 = 0.007143
Thus, the probabilities of selecting a committee with the specified combinations of party members are:
1-All Republicans: 0.02381
2-All Democrats: 0.02381
3-One of each party: 0.017857
4-Two Democrats and one Independent: 0.003571
5-One Independent and two Republicans: 0.007143
2/3 • 6 = ?
Can someone please explain step by step on how I solve this equation?
Answers
Answer:
4
Step-by-step explanation:
2/3 • 6
*Multiply 2 and 6 by 3.
= (2 × 6) / 3
= 12/3
*12 divided by 3 is equal to 4.
= 4
___________
hope it helps!
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
As calculated from the data (1/6)² is the probability of getting 5 of same number on all the dice.
b.)If we will limit the number of winners then we will be able to provide them with large prizes and that also by taking moderate rate from everyone.
Actually, the likelihood of winning is closer to one-third (25/72).
Carnival game organizers want you to believe, like I did, that a game is fair so that you will participate.
The likelihood that you would win a game was just about 1/3, so you probably wouldn't squander your money.
Therefore,
The likelihood of getting five of the same number on all six dice is (1/6)².
Probabilities are mathematical representations of the likelihood that an event will occur or that a statement is true.
Probability can also be expressed using a tree diagram.
The tree diagram makes it easier to organize and see all of the potential outcomes. The tree's branches and ends are its two primary locations. On each branch is written the probability, and the ends hold the results in the end.
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Which math expression means "52 more than an unknown number"?
A. x + 52
B. X÷52
C. 52.x
D. x - 52
← PREVIOUS
SUBMIT
Answers
As per the statement in the question, the expression will be x + 52.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per given information in the question,
Let the unknown number is x.
The statement says that the number is more than 52.
Then, the expression according to the statement will be,
= x + 52
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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 oldest Kim could be 7.
What is inequality?
The occurrence of an unfair and/or unequal distribution of opportunities and resources among the people that make up a society is referred to as inequality. To different people and in various settings, the word "inequality" may indicate different things.
Here,
Given
Josh is 4 years older than 2 times Kim's age.
The sum of their ages is less than 25.
We have to find the age of Kim.
Let Kim's age be x.
Then Josh's age is (2x+4)
The total is
x + (2x+4) < 25.
Simplify and solve the inequality for x
3x + 4 < 25
3x < 25-4= 21
x < 21/3 = 7
Hence, the oldest Kim could be 7.
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Luisa and Jacob each solve the radical equation √5+4x = x. Luisa determines that the solution is
H= 5. Jacob thinks that the solution is a = -1. Use the space below to identify which student is
correct. Use words and mathematics to justify your answer and show any work completed to make your
selection.
Answers
Answer: Luisa is correct.
Step-by-step explanation: Luisa is correct. To find the solution to the equation, we need to isolate the radical expression on one side of the equation. If we subtract x from both sides, we get √5 + 4x - x = x - x, or √5 = 0. Since the square root of any number is always positive, this equation has no solution. Therefore, the solution is H = 5.
On the other hand, if we square both sides of the equation, we get 5 + 8x + 4x^2 = x^2. If we simplify this equation, we get x^2 + 8x - 5 = 0. This equation can be solved using the quadratic formula, which gives us x = (-8 +/- sqrt(64 + 20))/2. This simplifies to x = (-8 +/- sqrt(84))/2. The solutions to this equation are x = -1 and x = 5. However, since we squared both sides of the original equation, we have to check whether these solutions actually work in the original equation. Substituting x = -1 into the original equation gives us √5 + 4(-1) = -1, or √5 = -1. This is not a valid solution, since the square root of any number is always positive. However, substituting x = 5 into the original equation gives us √5 + 4(5) = 5, or √5 = 0. This is a valid solution, since the square root of any number is always positive. Therefore, the only solution to the original equation is x = 5, which is the solution that Luisa found.
Question 3 (10 points)
How many 8' 2x4's and 12' 2x4's do you need to build a wall that is 12' long and 8' high
The wall has a single bottom plate, double top plate and 10 studs.
a
(10) 8' and (3) 12'
b
(12) 8' and (3) 12'
c
(10) 12'
d
(13) 8¹
Answers
Answer:
The answer is (10) 8' and (3) 12 A
Step-by-step explanation:
To build a wall that is 12' long and 8' high, you will need (10) 8' 2x4's and (3) 12' 2x4's. This will give you the necessary length for the bottom and top plates and 10 studs. Each stud should be spaced about 16" on center, so 10 studs will be enough to support the wall.
PLEASE HELP ME ILL WHOEVER ANSWER BRAINLIEST PLEASE ACTUALY ANSWER THE QUESTION NEED RIGHT ANSWER Solve. 4 1/4−1/3x=−3/4 Enter your answer in the box. x =
Answers
Answer:
-9/47
Step-by-step explanation:
[tex]4 \frac{1}{4}x-\frac{1}{3}x=-\frac{3}{4} \\ \\ \frac{17}{4}x-\frac{1}{3}x=-\frac{3}{4} \\ \\ 51x-4x=-9 \\ \\ 47x=-9 \\ \\ x=-\frac{9}{47}[/tex]
Answer:
Step-by-step explanation:
- 5/12
i did the test lol
Again, please just please help
Answers
The perimeter of ΔMNP is calculated as; 130
How to find the perimeter of the triangles?
From the given image, it is clear that some sides are congruent to others as indicated.
Thus, we see the following;
QM is parallel and congruent to RS.
Similarly, we see that QR is parallel and congruent to MS.
PR is parallel and congruent to QS.
NR = PR because of line segment division.
Thus, we can plug in the relevant values to get;
PR = QS = 22 = NR
Similarly, MS = SP = QR = 25
RS = x + 4 and so;
x + 4 + x + 4 = 5x - 34
42 = 3x
x = 14
MN = 5(14) - 34
MN = 36
Thus, the perimeter of ΔMNP = 36 + 25 + 25 + 22 + 22
= 130
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Write the following inequality in slope-intercept form.
14x + y ≤ 18
Answers
≥
−
4
x
+
18
That is I’m slope form
4. Here is the graph of a linear equation.
Select all true statements about the line and its equation.
A. One solution of the equation is (3,2).
B. One solution of the equation is (-1,1).
C. One solution of the equation is (1, 3/2).
D. There are 2 solutions.
E. There are infinitely many solutions.
F. The equation of the line is y=1/4x+5/4.
G. The equation of the line is y=5/4x+1/4
Answers
The true statements are
One solution of the equation is (3,2) One solution of the equation is (-1,1) One solution of the equation is (1, 3/2) There are infinitely many solutions The equation of the line is y=1/4x+5/4Consider the two points in the line
(-1, 1) and (3, 2)
The slope of the line = (2-1) / (3 -(-1))
= 1/4
The slope intercept form is
y = mx + b
2 = (1/4)3 + b
2 = 3/4 + b
b = 2 - (3/4)
b = 5/4
The equation of the line y = (1/4)x + 5/4
(3, 2) and (-1, 1) are points on the line
Consider the point (1, 3/2)
3/2 = (1/4)1 + 5/4
3/2 = 1/4 + 5/4
3/2 = 3/2
Therefore, (1, 3/2) is the solution of the line
It has infinitely many solutions
Therefore, the correct statements are statements A, B, C, E, F
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. If Total assets = $34,500 and Total liabilities = $28,000, Owner's equity =
A. $5,600
OB. $65,200
O C. $6,500
O D. $62,500
Answers
Answer:
C. $6,500
Step-by-step explanation:
Owner's equity is the amount of the business's assets that are owned by the owner or shareholders. It is calculated by subtracting the total liabilities from the total assets.
Given that Total assets = $34,500 and Total liabilities = $28,000, the owner's equity is:
Owner's equity = Total assets - Total liabilities
= $34,500 - $28,000
= $6,500
Therefore, the correct answer is C. $6,500.
(9 − 3) · 4
......
.
.
.
.
.
.
Answers
Answer:
24
Step-by-step explanation:
(9-3)×4
(6)×4
The answer is 24
Two pounds of grapes cost 6 dollars how many pounds can you buy with 1 dollar?
Answers
Step-by-step explanation:
If €2 of grapes cost $6
$1 =2/6
=€0.3
What is 7/4 of 2b. Hope you see this
Answers
Answer:
Step-by-step explanation:3.5 bytes
The points (-7, r) and (-3, 14) lie on a line with slope 3. Find the missing coordinate r.
Answers
The value of the missing coordinate, r as required to be determined from the given information is; r = 2.
What is the value of the missing coordinate, r?It follows from the task content that the value of the missing coordinate, r is to be determined from the task content.
On this note, since the given points are; (-7, r) and (-3, 14) and the slope of the line through them is; 3.
It follows from the slope formula;
m = (y₂ - y₁) / (x₂ - x₁) that;
3 = ( 14 - r ) / ( -3 -(-7) )
-9 + 21 = 14 - r
r = 14 + 9 - 21
r = 2.
On this note, the required value of the missing coordinate, r is; 2.
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compute the moment generating function of the geometric(p) distribution. simplify your answer (do not leave it as an infinite series).
Answers
Moment generating function of a random variable is the expectation of a random variable. The moment generating function of the geometric(p) distribution is given by pe^{t}/ (1 - (1 - p)e^{t}.
A moment generating function can be described as
MGFₓ(t) = E( e^{tx})
For continuous x
E( e^{tx}) = ∫ₓ e^{tx}×f(x)×d(x) where f(x) is the probability density function.
For discrete x
E( e^{tx}) = ∑ₓ e^{tx}×P(x) where P(x) is the probability mass function.
A geometric distribution is a discrete probability distribution that provide us the probability that the 1st occurrence o success would need k independent trials of success probability p each. Thus probability mass function of geometric distribution is
P(X = k) = (1 - p)^{k} × p
So moment generating function can be obtained by
MGFₓ(t) = E( e^{tx}) = ∑ₓ e^{tx}×P(x)
MGFₓ(t) = ∑ₓ (e^{kt} × (1 - p)^{k} × p)
MGFₓ(t) = p×∑ₓ (e^{t} × (1 - p))^{k}
|e^{t} × (1 - p)| < 1 so applying property of sum of infinite geometric progression we have
MGFₓ(t) = p× e^{t}/ (1 - (1 - p)e^{t}
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What are the degree and leading coefficient of the polynomial?
-9-8w+3w+12w³
Answers
The degree of a polynomial is the highest power of the variable in the polynomial. In this case, the highest power of w is 3, so the degree of the polynomial is 3.
The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In this case, the leading coefficient is 12.
In summary, the polynomial -9-8w+3w+12w³ has degree 3 and leading coefficient 12.
An electric car battery, when fully charged, can travel 260 miles. The car uses 232 miles of charge on a drive.
Enter the percentage of miles the car has left in battery charge?
Answers
The percentage of miles the car has left in battery charge is 10.77%
Total distance traveled when fully charged = 260 miles
The total charged used by the car = 232 miles of charges
The remaining charges left in the car battery = Total distance traveled when fully charged - The total charged used by the car
Here we have to use the subtraction
Substitute the values in the equation
= 260 - 232
= 28 miles of charges
The percentage of miles the car has left in battery charge = (28/260) × 100
= 10.77%
Therefore, 10.77% miles of charge left in the battery
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The sum of the kinetic and potential energy of the particles in an object is the ______ of the object.
a.Heat. b.state c.temperature. d.thermal energy
Answers
Answer: Thermal energy
Step-by-step explanation:
Thermal energy is the sum of the kinetic and potential energy of all the particles in an object.
Harry and Sally both invest $2500 for their school tuition in 3 years. Harry chooses to invest his money at bank A at 2.5%/a compounded monthly while Sally chooses to invest her money at bank B at 2.75%/a compounded quarterly. How much money will Harry and Sally have in their bank account after 3 years? Who made the best investment? Explain your answer.
Answers
Answer:
Hola cómo te llamas Hola
The temperature of a 3.0-kg material increases by 5.0°C when 6,750 J of thermal energy are added to it. What is the specific heat of the material? J/(kg-°C)
Answers
Answer:
450J/(kg-°C)
Step-by-step explanation:
the basic stuff of temperature is 3.0kg×5.0°C ，then assumed to be x
the thermal energy was y
then it was a functions y=kx,the k was the specific heat of the material
[tex]k=\frac{6750}{15}[/tex]=450 J/kg·°C
A line passing through the points (-8, 13) and (-6, 19)
Answers
Answer:
y = 3x + 37
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 ) = (- 8, 13 ) and (x₂, y₂ ) = (- 6, 19 )
m = [tex]\frac{19-13}{-6-(-8)}[/tex] = [tex]\frac{6}{-6+8}[/tex] = [tex]\frac{6}{2}[/tex] = 3 , then
y = 3x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 8, 13 ) , then
13 = 3(- 8) + c = -24 + c ( add 24 to both sides )
37 = c
y = 3x + 37 ← equation of line
compute the surface integral over the given oriented surface: portion of the plane in the octant downward-pointing normal
Answers
Using the specified oriented surface, the surface integral is F=y³i+8j-xk is a downward-pointing normal is -53/60.
Given that,
We have to find using the specified oriented surface, calculate the surface integral: F=y³i+8j-xk is a downward-pointing normal that is a part of the plane x+y+z=1 in the octant x,y,z≥0.
We know that,
Finding the surface integral of [tex]\int {} \,\int\limits_s {F} \, ds[/tex]
Here,
The surface of the plane's part is x+y+z=1;
In the 1st octant, x,y,z≥0, and the oriented surface F=y³i+8j-xk.
The plane x + y + z = 1
z=1-x-y
dz/dx=-1
dz/dy=-1
So, the surface is oriented downward
dS= (dz/dzi+dz/dyj-k)dxdy
dS=(-i-j-k)dxdy
So, we get
[tex]\int {} \,\int\limits_s {F} \, ds[/tex]
[tex]\int {} \,\int\limits_s {F} \, (dz/dzi+dz/dyj-k)dxdy[/tex]
-53/60
Therefore, Using the specified oriented surface, the surface integral is F=y³i+8j-xk is a downward-pointing normal is -53/60.
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