Mathematics College

A fast food restaurant sells milkshake in a container composed of a cylinder with a radius of 2 inches and a height of 3 inches surmounted by a hemispherical top of a radius 2 inches.

a.) Compute the volume of milkshake that it contains

b.) Compute the surface area of the container

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

(a) Volume = volume of the cylinder + volume of hemisphere

= pi r^2 h + 1/2 * 4/3 pi r^3

= pi 2^2 3 + 2/3 pi 2^3

= 12pi + 16pi/3

= 52pi/3

= 52pi/3 in^3

= 54.45 in^3 to nearest hundredth.

(b) Surface area  = area of base + area of curved part + area of the hemisphere

= pi 2^2 + 3 * 2pi 2 + 2 pi 2^2

=  4pi + 8 pi + 12pi

= 24pi in^2

= 75.40 to nearest hundredth.

Related Questions

Could someone help me with this question?

Answers

Answer: thats correct

Step-by-step explanation:

That’s correct look at their work schedule

The distance between two cities on a map is 4.125 inches.
Find the actual distance if the scale on the map is 2=inches
40 miles.

A. 41.25

B 50

C 82.5

D 165

Answers

Answer:

This is really easy it's D

Step-by-step explanation:

Answer:

It's C: 82.5

Step-by-step explanation:

Four more than twenty-six time a number is equivalent to 12 times the same number less 15.
What is the number?

Answers

Answer:

n = -19/14

Step-by-step explanation:

Please transcribe this into a symbolic equation:

26n + 4 = 12n - 15

Then 14n = -19, or n = -19/14.

A polynomial function has a root of -6 with multiplicity 1, a root of -2 with multiplicity 3, a root of 0 with multiplicity 2 and a root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about the graph is true?

The graph of the function is positive on (-6, -2). The graph of the function is negative on (-∞, 0). The graph of the function is positive on (-2, 4). The graph of the function is negative on (4,∞)​

Answers

9514 1404 393

Answer:

  (a)  The graph of the function is positive on (-6, -2)

Step-by-step explanation:

A function of odd degree and positive leading coefficient will be negative from -∞ to the left-most zero. Here, that zero is -6. The multiplicity of that zeros is odd (1), so the sign changes to positive at that point, and remains positive until the next odd-multiplicity zero, which is -2, with multiplicity 3.

Hence the function is positive on the interval (-6, -2), matching choice A.

Answer:

a

Step-by-step explanation:

what is the y intercept of the line that has a slope of 4 and goes through the point (-3,12)

Answers

Answer:

the y-intercept would be 24

Step-by-step explanation:

hope this helps! :D

Question 25
A stock has a beta of 1.5 and an expected return of 16.35%. What is the risk-free rate if the market rate of return is 12.5%?
96

Answers

Answer:

4.8%

Step-by-step explanation:

Given that :

Stock beta (B) = 1.5

Expected return = 16.35% = 0.1635

Maeket rate of return (Rm) = 12.5% = 0.125

Risk-free rate of return (Rf) =?

Using the relation :

Expected rate of return = risk free rate + Beta(market rate - Risk-free rate)

Expected rate of return = Rf + B(Rm - Rf)

Plugging our values :

0.1635 = Rf + 1.5(0.125 - Rf)

Open the bracket

0.1635 = Rf + 0.1875 - 1.5Rf

Collect like terms

0.1635 - 0.1875 = Rf - 1.5Rf

−0.024 = - 0.5Rf

Divide both sides by - 0.5

0.024 / 0.5 = Rf

Rf = 0.048

Rf = 0.048 * 100% = 4.8%

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
If the triangles are similar, write a valid similarity statement.​

Answers

Answer:

the AA~ congruency could be used, because

angle w=y,

angle t=z

and angle x is common

Step-by-step explanation:

That was my answer and I got it right :)

The given triangles are not similar.

What is similarity of triangles?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Given a figure of two triangles, ΔWXT and ΔYXZ

Here,

28/35 ≠ 30/38

WX/YX ≠ XT/XZ

We can conclude that, the corresponding sides are not in common ratio, so triangles are not similar.

Hence, The given triangles are not similar.

For more references on similarity in triangles, click;

https://brainly.com/question/25882965

#SPJ5

Which two recipes have equivalent ratios of cups of flour needed to the number of cookies?

recipes cups of flour needed number of cookies
sugar 3 33
oatmeal raisin 4 40
chocolate chip 3 32
Macadamia Nut 2 22
Question 7 options:

Macadamia Nut & Oatmeal Raisin


Sugar & Oatmeal Raisin


Chocolate Chip & Sugar


Sugar & Macadamia Nut


Oatmeal Raisin & Chocolate Chip

Answers

Answer:

poop

Step-by-step explanation:

Jacob pays $30.40 for 3.2 ounces of steak. What is the price per ounce of the steak?

Answers

Answer:

30.40/3.2=9.5 so he pays $9.50 per ounce of steak

Step-by-step explanation:

determine whether the triangles are congruent by sss sas asa aas or hl.

Answers

Answer:

sas :)

Step-by-step explanation:

George invited 65 students in his school to volunteer at a charity race. 39 of the students signed up to volunteer. What percent of the invited students signed up?

Answers

Answer:

60%

Step-by-step explanation:

39/65 gives you the answer.

Help me with this please

Answers

Answer:

It would be -13

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

You need to separate the 8 from each side of the equation. Picture it like this:

-104= 8 (multiplied by) x

To separate 8 from the variable, you need to divide that side by 8. Similarly, you need to do the same thing to the other side.

-104/8=8x/8

-13=x

Please please please help me In what year did the car value for below $9000

A.in year 6
B. In year 8
C. In year 2
D. In year 4

Answers

Answer:

D

Step-by-step explanation:

Could I get help with this one?

Answers

Answer:

x3

Step-by-step explanation:

What are the coordinates of point A′ if triangle ABC is rotated 90° to produce the image triangle A′B′C′?
A.(-9,-4)
B. (4,-9)
C. (9,-4)
D. (9,4)

Answers

Answer:

(9,-4)

Step-by-step explanation:

its right hope it's helpful

There were 30 cars and 20 trucks in the parking garage. What is the ratio of cars to total vehicles?
A. 3 to 2
B. 7 to 2
C. 3 to 5
D. 2 to 3

Answers

I believe C. 3 to 5!

I need help please and thank you

Answers

Answer:

A

Step-by-step explanation:

48 x 56 in area model​

Answers

Answer:

2688

Step-by-step explanation:

Your answer is two-thousand six hundred and eighty eight

Find the slope of the line by using the graph below.
1 2
3 4 5 6

Answers

The slope would be y = -1/2x + 3

The y intercept is where the line crosses the y axis which is at 3 and the slope is rise over run -2/4 or -1/2

Solve the system, enter ur answer as an ordered triple.

Answers

Answer:

x = 1, y = -1, z = 3

Step-by-step explanation:

x - 2y + 2z = 9

y + 2z = 5

z = 3

According to the last equation, z is equal to 3 so we can plug that in and our new 2 equations will be:

x - 2y + 6 = 9

y + 6 = 5

We can subtract 6 from both sides of the second equation to end up with:

y = -1

Now plugging this into the first equation, we have:

x + 2 + 6 = 9

x + 8 = 9

Subtract 8 from both sides

x = 1

HELP QUICK!! what is the effect on the graph of the function y=x^2 when it is changed to y=1/2x^2?

a) the graph moves up the y axis b) the graph moves down the y axis c) the graph narrows d) the graph widens

Answers

Answer:

D is your answer

hopefully this helps

solve k/2 - 2k + 1=7

Answers

Answer:

=

−

4

Step-by-step explanation:

2

−

2

+

1

=

7

Answer:

Ok that other answer is invalid the actual answer is = -4

Step-by-step explanation:

If you need a step by step let me know :)

A parachutist’s rate during a free fall reaches 216 kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 20 seconds of free fall? Do not round your answers.

Answers

Answer:

216.00 = 134.22

Step-by-step explanation:

216.1 =134.22

Find the 64th term of the arithmetic sequence 2, -3, -8, ...

Answers

Answer:

-496

Step-by-step explanation:

minus 5

Every integer is a __________ number.
A. natural
B. rational
C. negative
D. whole

Answers

Answer:

B. rational

Explanation:

Every integer is a rational number since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number.

The sixth-grade chorus has a boy-to-girl ratio of 3:8. Which of the following ratios is equivalent to this ratio?

help plzzz due in 15 min i have moe questions left

Answers

What are the answers? Also, an equivalent ratio would be multiplying/dividing both the 3 and the 8 by the same number

2 * 2 * 4 * 5 * 6 * 2 * 2 * 5 * 7 * 5 = ? will mark brainliest!

Answers

Answer:

336,000

Step-by-step explanation:

2 × 2 = 4 x 4 = 16 × 5 = 80 × 6 = 480 x 2 = 960 x 2 = 1920 × 5 = 9600 x 7 = 62700 × 5 = 336,000

One evening, a restaurant served a total of 3 1/3 loaves of wheat bread and 1 1/3 loaves of white bread. How many loaves were served in all?

Answers

Answer:

4 2/3

Step-by-step explanation:

jill bought 14 feet of fabric. the fabric cost $3.25 a foot, including tax. what is the total cost of the fabric?

Answers

Answer:

$45.5

Step-by-step explanation:

3.25 times 14 is 45.5

Answer:

$47.74

Step-by-step explanation:

Sales tax rate: 5%;

Price without tax: $3.25 dollars;

Amount of sales tax ≈ $0.16 dollars;

Price with sales tax ≈ $3.41 dollars;

Detailed calculations below:Amount of sales tax =

Sales tax rate × Price without sales tax =

5% × 3.25 =

5/100 × 3.25 =

0.05 × 3.25 =

0.1625 ≈

0.16;

Price with sales tax =

Price without sales tax + Amount of sales tax =

3.25 + 0.1625 =

3.4125 ≈

3.41;

means that we need to do 3.41 times 14 there your answer

please help with question. The answer choices are:
14
8
5
22​

Answers

Answer:

14

Step-by-step explanation:

If AC = 24, you just have to subtract AB = 10 from AC to find BC.

24 - 10 = 14

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