Need help with this ASAP!! Will award brainliest to answer with steps!! Anthony has a sink that is shaped like a half-sphere. The sink is 660pi in.^3. One day his sink clogged. He has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely full when he begins scooping.

Need Help With This ASAP!! Will Award Brainliest To Answer With Steps!! Anthony Has A Sink That Is Shaped

Answers

Answer 1

Answer:

part a) 13 scoops

part b) 3 scoops

Step-by-step explanation:

1) so we know that the volume of the sink is 660pi in^3

we have to divide this with the volume of each cup to find out the number of scoops it takes to get all the water out.

since we are dividing, I don't like leaving answers in terms of pi so

660*pi= 2073.45115137

formula for volume of cylinder(diameter) [tex]pi(\frac{d}{2} )^2 h[/tex]

pi*(5/2)^2*h=157.079632679

so

2073.45115137/157.079632679= 13.2 - for cup 1

for cup 2:

pi*(10/2)^2*8= 628.318530718

so

2073.45115137/628.318530718= 3.3- for cup 2

Hope this helps!


Related Questions

Solve for a
h = a/4

Answers

Answer:

a=4h

Steps:

4h=a swap the sides

a=4h

So , a=4h

Jaylynn draws a hen on graph paper using the scale shown below the hen has a length of 16 units in the drawing what is the height in centimeters of the actual hen

Answers

Answer:

Step-by-step explanation:

48

In the last election, Candidate C received 15,000 fewer votes than candidate B. If a total of 109,000 votes were cast, how many votes did candidate B receive? What is the equation for this problem and what is the answer to it?

Answers

Answer:

B receives 62000 votes

C receives 47000 votes

Step-by-step explanation:

Let C be the vote for candidate C

Let B be the vote for candidates D

Let the total vote be T. Therefore,

C + B = T (1)

But C receives 15000 votes fewer than B ie

C = B —15000 (2)

Total votes, T = 109000

Substituting the value of C and T into equation 1

C + B = T

B — 15000 + B = 109000

Collect like terms

B + B = 109000 + 15000

2B = 124000

Divide both side by the coefficient B i.e 2

B = 124000/2

B = 62000

Putting the value of B into equation 2;

C = B —15000

But B = 62000

C = 62000 — 15000

C = 47000

B receives 62000 votes

C receives 47000 votes

168 is 70 percent of what number ?

Answers

Answer:

240

Step-by-step explanation:

Multiply 168 by 100 then divide by 70

What is 5y-4x =-7
2y+4x=14
X=?
Y=?

Answers

Answer:

X=3

Y=1

Step-by-step explanation:

In solving simultaneous equations, there are three methods, we have the elimination method, substitution method or graphical method. But for the purpose of this question, we would be using Elimination method.

5y-4x =-7 Equation 1

2y+4x=14 Equation 2

Since x has the same coefficient, it's easy to eliminate by adding up the two equations

5y+2y=7y

-4x+(+4x)=0

-7+(+14)=7

We have 7y=7

Divide both sides by 7,

y=7/7

y=1

Substituting for y in equation 2.

2(1)+4x=14

2+4x=14

4x=14-2

4x=12

x=12/4

x= 3

Solve for X, and graph
8. - 6x + 14 <-28 OR 9x + 15 <- 12

Answers

For this case we must indicate the solution set of the given inequalities:

[tex]-6x + 14 <-28[/tex]

Subtracting 14 from both sides of the inequality we have:

[tex]-6x <-28-14\\-6x <-42[/tex]

Dividing by 6 on both sides of the inequality:

[tex]-x <- \frac {42} {6}\\-x <-7[/tex]

We multiply by -1 on both sides, taking into account that the sense of inequality changes:

[tex]x> 7[/tex]

Thus, the solution is given by all values of x greater than 7.

On the other hand we have:

[tex]9x + 15 <-12[/tex]

Subtracting 15 from both sides of the inequality we have:

[tex]9x <-12-15\\9x <-27[/tex]

Dividing between 9 on both sides of the inequality we have:

[tex]x <- \frac {27} {9}\\x <-3[/tex]

Thus, the solution is given by all values of x less than -3.

Finally, the solution set is:

(-∞, - 3) U (7,∞)

Answer:

(-∞, - 3) U (7,∞)

Is 10xyz^3 a monomial

Answers

Answer:

Yes, 10xyz^3 is a monomial.

Step-by-step explanation:

A monomial is an algebraic expression consisting of one term that can have multiple variables of different degrees within.

A hat costs $17.00 and is on sale for 30%. How much will be saved?

Answers

Step-by-step explanation:

70

---- × 17=$11.90(saved)(answer)

100

The soccer team is selling tubs of cookie dough and brownie mix. Elaina raised $75 by selling one tub of cookie dough and five tubs of brownie mix. Megan raised $141 by selling three tubs of cookie dough and eight tubs of brownie mix. How much is a tub of brownie mix?

Answers

The cost of one tub of brownie mix = $12

Step-by-step explanation:

Step 1 :

Let x represent one tub of cookie mix's cost and y represent one tub cookie mix's cost

Total amount raised by Elaine =  $75

Number of cookie mix tub sold by Elaine = 1

Number of brownie mix tub sold by Elaine = 5

This can be represented by the equation

x + 5 y = 75 => x = 75 - 5y

Step 2 :

Total amount raised by Megan =  $141

Number of cookie mix tub sold by Megan = 3

Number of brownie mix tub sold by Megan = 8

This can be represented by the equation

3 x + 8 y = 141

Step 3 :

Solving the equations obtained in the above steps we have ,

3 ( 75-5y) +8y = 141

225 - 15y + 8y = 141

-7y = -84 => y = 12

Step 4 :

Answer :

The cost of one tub of brownie mix is $12

Answer:

Step-by-step explanation:

12 dollars

Maricela was recently approved for an $18,000 loan for 5 years at an interest rate of 6.2%. Use the monthly payment formula to complete the


statement


M= (1 + 5* - 1


M= monthly payment


P= principal


r=interest rate


= number of years


Maricela's monthly payment for the loan iss

Answers

Answer:

top is wrong my teacher told me the answer its

349.67

Maricela's monthly payment for the loan using the monthly payment formula is; $349.67

What is the monthly payment?

We are given;

Principal; P = $18000

Interest Rate; r = 6.2% = 0.062

Number of years; t = 5 years

The formula to find the monthly payment is;

M = P[(r/n) * (1 + (r/n))^(nt)]/[((1 + (r/n))^(nt)) - 1]

Plugging in the relevant values gives;

M = 18000[(0.062/12) * (1 + (0.062/12))^(12 * 5)]/[((1 + (0.062/12))^(12 * 5)) - 1]

Solving this with a calculator gives us;

M = $349.67

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point (k, -3) lies on the line whose equation is x-2y=-2. What is the value of k?

Answers

Answer:

Substitute, y = -3 and x = k on the equation.

=> k - 2×(-3) = -2

=> k = -2 + (-6)

=> k = - 8

=================

HOPE U UNDERSTOODMARK AS BRAINLIEST ONE

Any Doubts? Please COMMENT

The required value of the k is -8 for which the point (-8, -3) line on the equation of the line.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Point (k, -3) lies on the line whose equation is x-2y=-2.
Put x = k and y = -3 in the given equation of the line,

k - 2 (-3) = -2
k = -2 -6
k = -8

Thus, the required value of the k is -8 for which the point (-8, -3) line on the equation of the line.

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circle E, and are diameters. Angle BCA measures 53°.

Circle E is shown. Line segments A C and B D are diameters. Lines are drawn to connect points B and C and points A and D. Angle B C A is 53 degrees.

What is the measure of arc AD?

53°
74°
106°
180°

Answers

Answer:

74°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

Triangle EBC is an isosceles triangle (because has two equal sides EB=EC)

so

[tex]m\angle BCA=m\angle BCE=m\angle EBC=53^o[/tex]

Find the measure of angle BEC

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

[tex]m\angle BCE+m\angle EBC+m\angle BEC=180^o[/tex]

substitute the given values

[tex]53^o+53^o+m\angle BEC=180^o[/tex]

[tex]m\angle BEC=180^o-106^o=74^o[/tex]

Find the measure of angle AED

we know that

[tex]m\angle AED=m\angle BEC[/tex] ----> by vertical angles

so

[tex]m\angle AED=74^o[/tex]

Find the measure of arc AD

we know that

[tex]m\ arc\ AD=m\angle AED[/tex] -----> by central angle

therefore

[tex]m\ arc\ AD=74^o[/tex]

Answer:

The answer is B on Edge 2020`

Step-by-step explanation:

I did the exam

You and a friend race each other. You give your friend a 50-foot head start. The distance y (in feet) your friend runs after x seconds is represented by the linear function y=14x+50. The table shows the distances you run.



a. Who runs at a faster rate? What is that rate?

response - correct
You run faster.


Question 2
The rate is
feet per second.

b. Write a linear function that relates your distance to the number of seconds. In the same coordinate plane, graph the linear functions that represent the distances of you and your friend.

y=


Question 3
Time (seconds)Distance (feet)

Question 4
c. For what distances will you win the race? Explain.

response - correct
You catch up to your friend after you run 190 feet, so you will be ahead of him for any distance greater than 190 feet. I just need the answer for question 4 plz.

Answers

Answer:

You catch up to your friend after you run 190 feet, so you will be ahead of him for any distance greater than 190 feet.

Step-by-step explanation:

If f(x) = 3x5 - 5x4 + 29, find f(-1).

Answers

f(-1) = 3((-1)^5)-5((-1)^4)+29 = -3-(5)+29 = 21

answer: 21

Answer:

The value of f(-1) is 21

Step-by-step explanation:

Given:

[tex]f(x) = 3x^5 - 5x^4 + 29[/tex]

Finding f(-1)

        [tex]f(-1)=3(-1)^5-5(-1)^4+29\\\\[/tex]

Multiplying '-1' odd times gives -1 and even times gives '1'

       [tex]f(-1)=3(-1)-5(1)+29\\\\f(-1)=-3-5+29\\\\f(-1)=-8+29\\\\f(-1)=21\\[/tex]

The value of f(-1) is 21

Prove the divisibility of 16^5+2^15 by 33

Answers

Answer:

Both terms have a common factor of 2^15

Step-by-step explanation:

Make use of prime factorizations:

16^5+2^15=(2^4)^5+2^15=2^20+2^15

Both terms have a common factor of 2^15.

16^5+2^15=2^15(2^5+1)=2^15 x 33

The term [tex]16^5+2^{15}[/tex] is divisible by 33

We have to given  [tex]16^5+2^{15}[/tex] is divisible by 33.

What is the meaning of prime factorization?

Prime factorization is a way of expressing a number as a product of its prime factors

Make use of prime factorization

[tex]16^5+2^{15}=(2^4)^5+2^{15}[/tex]

           [tex]=2^{20}+2^{15}[/tex]

factor out the term [tex]2^{15}[/tex] we get,

[tex]16^5+2^{15}=2^{15}(2^5+1)=2^{15} * 33[/tex]

Therefore the term [tex]16^5+2^{15}[/tex] is divisible by 33

Hence proved.

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Each cube represents 1 cubic inch. What is the volume if the prism?​

Answers

Answer:

12 in³

Step-by-step explanation:

Its made up of 12 (4×3 = 12) cubes of 1 in³ each

So 12 × 1 = 12 in³

Tom has three pieces of wood. The length of the longest piece is 3/4 foot. The length of the shortest piece is 3/8 foot. What might be the length of the third piece of wood.

Answers

Answer:

[tex]\dfrac{3}{8}\text{ foot}<x<\dfrac{3}{4}\text{ foot}[/tex]

Step-by-step explanation:

We are given the following in the question:

There are three pieces of a wood.

Length of longest piece =

[tex]\dfrac{3}{4}\text{ foot}[/tex]

Length of shortest piece =

[tex]\dfrac{3}{8}\text{ foot}[/tex]

Let x be the length of the third piece.

Since the length of third piece lies between the length of the longest and the shortest piece of wood, thus, we use the following inequality to represent the length of the third piece.

Inequality:

[tex]\dfrac{3}{8}\text{ foot}<x<\dfrac{3}{4}\text{ foot}[/tex]

350 is what percentage of 50?

Answers

Answer:

175

Step-by-step explanation:

Answer:

175%

Step-by-step explanation:

Divide 50 by 100 then multiply it by 350

50 ÷ 100 × 350 = 175

A binomial trial is one in which there are four possible outcomes.

A. True

B. False

Answers

Answer:

The answer is B: False

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Find the volume of a square prymaid with a base of 9 ft and a height of 14 ft
126 ft³

277 ft³

378 ft³

1134 ft³

Answers

Answer:

Volume of the Square pyramid [tex]=378.27 Feet^3[/tex]

Step-by-step explanation:

A Square pyramid is the pyramid whose base is in the shape of a Square.

Volume of a Square Pyramid:

                     [tex]BASE*BASE*\frac{HEIGHT}{3}[/tex]

[tex]Base= 9 feet[/tex]      and    

[tex]Height= 14 feet[/tex]

Volume of the square Pyramid:

                                                 =[tex]9*9*\frac{14}{3}[/tex]

                                               [tex]=81*4.67[/tex]

                                            [tex]=378.27 Feet^3[/tex]

The volume of the Square pyramid [tex]=378.27 Feet^3[/tex]


For which two values of T will D = 40? Round to the nearest tenth.

Answers

Answer:I believe it is 20

Suppose the diameter of a circle is \color{green}{6}6start color green, 6, end color green units. What is its circumference?

Answers

Answer:

C =18.84

Step-by-step explanation:

The circumference is given by

C = pi*d

C = 6pi

If we approximate pi by 3.14

C = 6*3.14

C =18.84

What is 6x729 and how would u do the math in the best way ?

Answers

The answer is 4,374 and the math is quite simple. A calculator

6x729 equals 4374 and you get that by using a calculator that's how i would do it

trey has a peanut allergy, so he eats granola bars that are nut-free. a box of nut-free granola bars cost $4.50 after a 10% discount. what is the original price of the box of granola bars

Answers

The original price of the granola bars before the 10% discount was $5.00. To determine this, the given discounted price was divided by 0.90, which represents the price after a 10% reduction.

The original price of a box of nut-free granola bars before the discount can be calculated by reversing the 10% discount process. Since Trey paid $4.50 after the discount, we can represent the original price as x. The discount applied to x would be 0.10 times x (which is how a 10% discount is calculated), and the price after the discount is x minus the discount. So the equation to solve is x - 0.10x = $4.50.

Simplify this equation to find x:
0.90x = $4.50.
Now, divide both sides of the equation by 0.90 to find x:
x = $4.50 / 0.90.
x = $5.00.

Therefore, the original price of the box of granola bars before the 10% discount was $5.00.

Un observador se acerca con una velocidad de 15m/s a un parlante estático que está emitiendo un sonido con una frecuencia de 297 Hz. ¿Cuál es la frecuencia percibida por el observador?

Answers

Answer:

310 Hz

Step-by-step explanation:

This is a spanish language mathematical question.

We translate this to english:

An observer approaches a static speaker at 15 meters per second. The speaker is emitting a sound with a frequency of 297 Hz. What is the frequency perceived by the observer?

Solution:

This can be solved using doppler effect formula. Which is:

[tex]f=(\frac{c}{c+V_s})f_0[/tex]

Where

f is the observed frequency (297 Hz)

c is the speed of sound  (343 m/s)

[tex]V_s[/tex] is the velocity of source (given as 15)

[tex]f_0[/tex]  is what we want to find

Now, substituting, we solve:

[tex]f=(\frac{c}{c+V_s})f_0\\297=(\frac{343}{343+15})f_0\\297=(0.9581)f_0\\f_0=309.99[/tex]

Rounding,

We can say the perceived frequency would be around 310 Hz

(I NEED THIS ANSWERED QUICKLY! I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!)


Reflect triangle LMN about the x-axis. Then translate the resulting triangle 2 units up.

What are the coordinates of the vertices of the final image?

A. L’(4, 2), M’(7, 9), and N’(1, 9)
B. L’(4, 4), M’(7, -11), and N’(1, -11)
C. L’(4, 4), M’(7, 11), and N’(1, 11)
D. L’(-4, 4), M’(7, -9), and N’(1, -9)

Answers

Answer:

The answer is C

B is reflection over the y-axis

Step-by-step explanation:

C. L’(4, 4), M’(7, 11), and N’(1, 11) are the coordinates of the vertices of the final image.

B is a reflection over the y-axis

What are the coordinates of the vertices of a cube?

Any point (x, y, z) can consequently be written as a sum of factors at the parallelepiped with one vertex on the origin. on this coordinate gadget, we are able to outline the unit cube with the 8 corner points classified (zero, zero, zero), (1, zero, zero), (1, 1, 0), (0, 1, 0), (zero, zero, 1), (1, 0, 1), (1, 1, 1), and (0, 1, 1).

The coordinates of the vertices of a triangle are (x2,y2) and (x3,y3). the line becoming a member of the primary is divided in the ratio l: okay and the road becoming a member of this point of the department to the opposite angular point is then divided by the ratio m:k + l.

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Find the sizes of the angles marked with a letter.
Why is my answer wrong?

Answers

Answer:

29.28 degrees.

Step-by-step explanation:

sin x / 16.2 = sin 49 / 25

Cross multiply:

25 sin x = 16.2 * sin 49

sin x = (16.2 * sin 49) / 25

sin x = 0.48905

x = 29.28 degrees.

−1.2·(−0.4−(−4.6)−(+4.7))

Answers

Answer:

-0.62

Step-by-step explanation:

What is the inverse of f(x)= 9x-8

Answers

Answer:

f^-1(x) = (x + 8) / 9

Step-by-step explanation:

Step 1:  Set y to x and x to y

y = 9x - 8

x = 9y - 8

Step 2:  Solve for y

x + 8 = 9y - 8 + 8

(x + 8) / 9 = 9y / 9

(x + 8) / 9 = y

Step 3:  Rename y to f^-1(x)

f^-1(x) = (x + 8) / 9

Answer: f^-1(x) = (x + 8) / 9

The inverse of the function f(x) = 9x - 8 is f^-1(x) = (x + 8) / 9.

To find the inverse of the function f(x) = 9x - 8, follow these steps:

First, replace f(x) with y. So, we have y = 9x - 8.

Next, solve for x. To do this, swap x and y to get x = 9y - 8.

Now, isolate y by adding 8 to both sides, resulting in x + 8 = 9y.

Finally, divide both sides by 9 to solve for y, giving y = (x + 8) / 9. This is the inverse function.

To denote the inverse, we replace y with f-1(x), resulting in f-1(x) = (x + 8) / 9.

Which of the following is a statistical question?

 A. 

How many hours do students in Mr. Brown's class typically spend on homework?

 B. 

What is Andy’s shoe size?

 C. 

What is the room temperature of Charlie's house?

 D. 

How much did Ashley pay for her smart phone?


Answers

The answer to your question is A
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