Mathematics College


A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 12 cm, and the base has a radius of 5.5 cm. The cooler has
18,997 cm of water in it. How many cups can be filled from the cooler?
Use 3.14 for 11, and do not round your answer.

Answers

Answer 1

Answer:

16.65 cups

Step-by-step explanation:

Step one:

height =12 cm, and

the base has a radius =5.5 cm

Volume of the cup = πr^2h

substitute we have

volume= 3.142*5.5^2*12

volume= 3.142*30.25*12

volume=1140.546cm^3

Step two:

volume of cooler=  18,997 cm^3

hence the number of cups to fill it is

=18,997/1140.546

=16.65 cups

Related Questions

f(x) = -x^2
Find f(3)

Answers

Answer:

9

Step-by-step explanation:

f(x) = -x^2

f(3) = -3^2

f(3) = 9

I need help with this word problem please

Answers

Answer:

Step-by-step explanation:

Given function is,

f(x) = [tex]x\sqrt{x}[/tex]

We can rewrite this function as,

f(x) = [tex]x^{\frac{3}{2}}[/tex]

a). Domain of the function is [0, ∞)

Derivative of the function in this domain,

f'(x) = [tex]\frac{3}{2}x^{(\frac{3}{2}-1)}[/tex]

     = [tex]\frac{3}{2}x^{\frac{1}{2}}[/tex]

Since, f'(x) > 0 in the interval [0, ∞)

Function is increasing in the interval [0, ∞)

b). For local maxima and local minima,

  Second derivative of the function,

  f"(x) = [tex]\frac{3}{2}(\frac{1}{2})x^{\frac{1}{2}-1}[/tex]

         = [tex]\frac{3}{4}x^{-\frac{1}{2}}[/tex]  > 0

   So the function should have a local minima.

   But the function is continuous in the interval x ≥ 0,

   There is no local minima (only absolute minima).

c). Since, second derivative is undefined at x = 0,

   There are no inflection points.

d). Since, f"(x) > 0 in the interval [0, ∞)

   Concavity of the curve is UPWARDS.

The tape diagram below represents 100%.
100%
?
What percent is represented by the shaded area?
%

Answers

Answer: 50%

Step-by-step explanation:

The shaded portion is half of 100

Answer: 50%

Step-by-step explanation: Since the tape diagram in total represents 100%, and half of the tape diagram is shaded, this means 50% is shaded.

33 divided by a number Q.

Answers

Answer:

33/Q?

Step-by-step explanation:

im confused on what the problem is

Someone please help and thank you

Answers

Answer:

7 : 3

Step-by-step explanation:

Divide both numbers by 6

Answer:

Step-by-step explanation:

42:18=42/18=7/3=7:3

I hope it help you

this is so easy

How do you write 0.060 in scientific notation?

Answers

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

[tex]6 \times 10 {}^{ - 2} [/tex]

If P(A) = .80, P(B) = .65, and P(A ∩ B) = .78, then P(B | A) =

Answers

Answer:

P(B | A) = 1.2

Step-by-step explanation:

Given

P(A) = .80P(B) = .65P(A ∩ B) = .78

To determine

P(B | A) = ?

Using the formula

P(B | A) = P(A ∩ B) / P(B)

             =  .78 / .65

             = 1.2

Therefore,

P(B | A) = 1.2

what is the equation of a line with a slope of -3 and a y-intercept of 9

Answers

Answer:

The answer to the question provided is y = -3x + 9.

The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the pole?

Answers

Answer:

The angle is approximately [tex]31^{o}[/tex].

Step-by-step explanation:

The description i the given question can be represented with the sides of a right angled triangle.

Applying the appropriate trigonometric function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

In the question, opposite side = 60 feet, and adjacent side = 100 feet.

Tan θ = [tex]\frac{60}{100}[/tex]

         = 0.6

θ = [tex]Tan^{-1}[/tex] 0.6

  = [tex]30.964^{o}[/tex]

θ = [tex]31^{o}[/tex]

The angle of elevation from the end of the shadow to the top of the pole is [tex]31^{o}[/tex].

What is f(-3) if f(x) = 1/3x

Answers

Answer:

10

Step-by-step explanation:

I did this before and i got it right

8x-6y=36
solve the linear equation

Answers

Answer:

The below is the answer to the equation. 4.5, 0

Step-by-step explanation:

Need help asap please

Answers

It’s the 4 th one I try ink

Answer:

the 4th one hope this helps

Please help Im confused

Answers

Answer is 40

15/3 = 5
8 x 5 = 40

Answer:

x=40

Step-by-step explanation:

to get from 3 to 15, you multiply by 5

multiply 8 by 5 and you get 40

x is 40

please give me brainliest!!<3

difference between -20 and -17

Answers

Answer:

-3

Step-by-step explanation:

because it says difference and differences means subtract so -20-(-17)=-3

the difference is -3

help me asap now pls

Answers

Answer:

b=60a

Step-by-step explanation:

Find the solution to each equation mentally or use your calculator. (do the opposite of the number on the left side of the equation)

A: 30+a=40


B: 500+b=200


C: −1+c=−2


D: d+3,​567=0

Answers

A) a=10

B) b= -300

C) c= -1

D) -3567

What is the solution to the inequality 5.25- b
6.5?

Answers

-b > 6.5 - 5.25

b < 1.25

Hope this helps!

/////////////////////////////////////////////////////////////////////////////////////////////////////////////

Which of the following statements are true?
The value of the 5 in 592,841 is 10 times the value of the 5 in 358,764.
The value of the 6 in 861,257 is 10 times the value of the 6 in 651,042.
The value of the 8 in 358,764 is 10 times the value of the 8 in 592,841.
The value of the 5 in 592,841 is in of the value of the 5 in 358,764.
The value of the 6 in 861,257 is in of the value of the 6 in 651,042.
The value of the 8 in 358,764 is id of the value of the 8 in 592,841.

Answers

The value of the 5 in 592,841 is 10 times the value of the 5 in 358,764

Answer:

5/6 is eaqual to 2.5/3

Step-by-step explanation:

someone pls help me with this problem , in a rush !!

Answers

Answer:

2.DB=7.5+7.5=15cm

3.DV=12.75+12.75=25.5

Step-by-step explanation:

What is Four more than twice a number is -10?

Answers

4+2x=10
2x=10-4
2x=6
X=6/2
X=3

someone pls hurry and help !

Answers

Answer: I think false

Help me out with this question (geometry)

Answers

Answer:

116

Step-by-step explanation:

13x-1 = 2(6x+4)

13x-1 = 12x+8

x=9

witch equation represents a linear function

Answers

Y=3x2+1
Hope this helped :)

The tax on a property with an assessed value of $90,000 is $1,350. Find the tax on a property with an
assessed value of $140,000.
a. $1500.00
b. $150.00
c. $2100.00
d. $210.00
e. $750.00

Answers

Answer:

0.015 or 1.5% tax

Step-by-step explanation:

90000x0.015 = 1350

let’s go to the beach each let’s go get away say say what they gonna say the patron on

Angle 1 and Angle 2 are a linear pair. Angle 1=x-15, and angle 2=x+77. Solve for x then find the measure of each angle.

Answers

Answer: x=59, angle 1= 44˚, angle 2= 136˚

Step by step explanation:

Linear pairs add to make 180˚.

So angle 1 + angle 2= 180˚

Therefore x-15+x+77= 180

Add the x’s to get 2x
And then -15+77 to get 62.

So 2x+62=180
Subtract 62 to get 2x=118
Then divide by 2 to get x=59

Then substitute the x value into the angle equations

So angle 1 will be 59-15 which is 44˚
And angle 2 will be 59+77 which is 136˚

can someone please help meeee

Answers

you need to use pythagorean theorem to find x
97^2 = 9409
65^2 = 4225
4225 + b^2 = 9409
b^2 = 5184
b = 72

then you need to add 65 and 72 to get 137
137 - 95 = 42
42 kilometers closer

find the sum of the first 31 terms of 4,11,18,...

Answers

Answer:

3379

Step-by-step explanation:

Please help me ASAP........

Answers

Answer:

More on supplies than she earned in sales.

Answer:

She spent 25 dollars from her pocket. No profit

Step-by-step explanation:

what is 1/2 x 60 and what is 3/10 x 1,000​

Answers

1/2 x 60 = 30                                                           3/10 x 1000 = 300

cancel the common factor of 2                          simpplify the expression

Answer:

1/2 x 60= 30 and 3/10 x 1,000= 3,000

Step-by-step explanation:

Arya saves 30% of his montly paycheck for college. He earned $270 lst month. How much money did Arya save for college?

Answers

Answer:

she saved 900 dollars

Step-by-step explanation:

30/100=270/?

30x9=270

100x9=900

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