A tent is in the form of a right circular cylinder surmounted by a cone. The volume of the tent can be modeled by the function V(r) = 8πr2 + πr3, where r is the radius in feet. For what value of r does the tent have a volume of 311 ft3?

Answer:

[tex]\large\ The \ average \ of \ two \ numbers\ =\frac{\text{the sum of the two numbers} }{2}[/tex]

Step-by-step explanation:

[tex]\large\ The \ average \ of \ two \ numbers\ =\frac{\text{the sum of the two numbers} }{2}[/tex]

Let x and y be two numbers then the average of x and y is :

[tex]\large \frac{x+y}{2}[/tex]

Example :

The average of 4 and 16 is :

[tex]\frac{4+16}{2} = \frac{20}{2} = 10[/tex]

Using proportions, it is found that the total cost of gasoline and rental for the trip is of $253.

A proportion is a fraction of a total amount.

In this problem, the total cost is composed by:

Hence, the total cost is given by:

C = $3.85 x 40 + $99 = $253.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

C = $3.85 x 40 + $99 = $253.

Step-by-step explanation:

I took the test

Answer:Yes

Step-by-step explanation:His complaint is valid.

Answer:

You multiply the exponents and or to keep the base the same.

Step-by-step explanation:

I apologize if it is incorrect-

I hope it helps! Have a great day!

Anygays-

Answer:

Length=14.4

Width=3.6

Step-by-step explanation:

l=4w

2l+2w=36

2(4w)+2w=36

8w+2w=36

10w=36

w=3.6

l=4w

4(3.6)

l=14.4

*check by plugging in answers into 2l+2w=36*

Answer:

[tex]L=\frac{72}{5}[/tex]      or 14.4

[tex]W=\frac{18}{5}[/tex]     or 3.6

Step-by-step explanation:

Please take note this probably not the easiest way to do the problem.

Formula for the Perimeter of Rectangle

[tex]P=2L+2W[/tex]

We are given the perimter.

[tex]36=2L+2W[/tex]

[tex]L=4*W[/tex]

To solve I would use the Gauss-Jordan method. (it is advanced, but it makes sense to me)

[tex]36=2L+2W[/tex]

[tex]L=4*W[/tex]

Write the coefficients of each eqaution as rows in the matrix.

[tex]\left[\begin{array}{ccc}2&2&36\\1&-4&0\\\end{array}\right][/tex]

Divide the first row by 2.

[tex]\left[\begin{array}{ccc}1&1&18\\1&-4&0\\\end{array}\right][/tex]

Multiply row 1 by -1 and add it to row 2.

[tex]\left[\begin{array}{ccc}1&1&18\\0&-5&-18\\\end{array}\right][/tex]

Divide the second row by -5.

[tex]\left[\begin{array}{ccc}1&1&18\\0&1&\frac{18}{5} \\\end{array}\right][/tex]

Multiply row 2 by -1 and add it to row 1.

[tex]\left[\begin{array}{ccc}1&0&\frac{72}{5} \\0&1&\frac{18}{5} \\\end{array}\right][/tex]

We now have an augmented matrix.

[tex]L=\frac{72}{5}[/tex]

[tex]W=\frac{18}{5}[/tex]

Answer:

x = 57,542.8571

Step-by-step explanation:

C(x) = 0.81x + 60,420

R(x) = 1.87x

At break even point, Cost function and revenue function becomes equal.

-> C(x) = R(x)

-> 0.81x + 60,420 = 1.87x

-> 60420 = 1.87x - 0.82x

-> 60420 = 1.05x

-> x = 60420/1.05

-> x = 57,542.8571

Thus, at break even point x = 57,542.8571

The thickness of the pile of books measured by Juan and the information in the line plot is 5.

Based on the information in the line plot, the thinnest book has a thickess of  1 1/4 and the thickest book has a thickess of 2 1/2.

The thickness of the pile of books = (1 1/4 x 2) + 21/2

(5/4 x 2) + 2 1/4 = 5

Please find attached the complete question. To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

Answer:

s = 38.1 billion

Step-by-step explanation:

x = 22    (2020-1998)

s = 1.5 x 22 +5.1

s = 38.1 billion

Answer:

3510000

Step-by-step explanation:

Answer:

3510000

Step-by-step explanation:

234,000×6percent

that answer*3percent then substract that 3 percent from . the number before multiplied it by three percent

Answer:

(the answer is in fraction form)

x= 2/3 , -5/2

Answer:

[tex]x=-\frac{5}{2} ,x=\frac{2}{3}[/tex]

Hope This Helps! :) Please Give Brainliest!

Answer: Three dimensional

Step-by-step explanation:

    A rectangular prism is a three-dimensional shape.

[] A one-dimensional shape is a line

[] A two-dimensional shape is a rectangle, circle, etc

[] This means that a rectangular prism is a three-dimensional shape

A rectangular prism is a

A rectangular prism is three dimensional.

One dimensional -:

Two dimensional -:

Three dimensional -:

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tiny \rm{spbankingandsscseries}[/tex]

[tex] \rule{75mm}{6pt}[/tex]

The parent function of the graph is an exponential function

The equation of the parent function could be  y = 2^x

From the question, we understand that:

y doubles, as x increases by 1

The above means that the parent function is an exponential function that has a rate of 2

So, we have:

y = 2^x

Hence, the equation of the parent function could be  y = 2^x

Read more about parent functions at:

https://brainly.com/question/17586310

Answer:

It's not b

Step-by-step explanation:

Picked b like that guy said and got it wrong on edge 2022

Answer:

28/12 Samsung felo tee Samsung felo tee Samsung felo tee

[tex]2^3 \cdot \sqrt 2\\\\=2^3 \cdot 2^{\tfrac 12}\\\\=2^{3+ \tfrac 12}\\\\=2^{\tfrac 72}[/tex]

Answer:

2^3 x 2^1/2 = 2^7/2

Step-by-step explanation:

Law of indices state that:

a^n × a^y = a^n+y

root 2 is the same thing as 2^1/2

so we can write this equation as;

2^3 × 2^1/2 = 2^3+1/2 = 2^7/2

Answer:

12%

Step-by-step explanation:

$ spent / total budget

168 / 1400 = 0.12

0.12 = 12%

Answer:

i assume the question is 115-5x=10

Step-by-step explanation:

if yes then the answer will be

-5x=125

-5x/-5=125/-5

x=25

Answer:

whatch pH bro......,.......

Answer:

the number of bacteria present every two hours for 6 hours. The collected data is shown in the table below and on the given graph.A scientist is studying bacterial growth over time. Her research is conducted by placing 10 strep bacteria in a petri dish containing enough food for the bacteria to live and thrive for the course

Step-by-step explanation:

3:5

The question asks for the ratio of green marbles to blue marbles. As stated in the question itself, Joann has 3 green marbles and 5 blue marbles. We can ignore the yellow marbles, while we're at it.

Blue:green

3:5

Answer:

1. Answer is 35

2. Answer is 13

Step-by-step explanation:

All you have to do is multiply 5 on both sides for number 1 and multiply by 2 on both sides for number 2.

Answer:

[tex]x[/tex]-5, and [tex]x[/tex]1

Step-by-step explanation:

f ([tex]x[/tex]) = 3[tex]x{2}[/tex] + 12[tex]x[/tex] - 15

0= 3([tex]x[/tex][tex]2[/tex] + 4[tex]x[/tex] -5)

0= 3([tex]x[/tex] + 5) ( [tex]x[/tex] - 1)

[[tex]x[/tex]+5=0] [tex]x[/tex]= -5

[[tex]x[/tex]-1=0] [tex]x[/tex]= 1

hope it helped <3

Answer:

D

Step-by-step explanation:

Prisms all have flat sides. The last image has curved sides so it is a cylinder and not a prism.

Answer:    12    x    15= 180 cuadrados

juas juas juas 180  +   180  = 360


15 x 15 cm = 360

Step-by-step explanation:

Answer:

Its [tex]2,700cm^{2}[/tex]

Ste,p-by-step explanation:

The dimensions to maximize the area must be:

The rectangle with the largest area that can be inscribed on a circle of radius 3, will be a rectangle whose diagonal is equal to the diameter of the circle, so we have:

√(x + y) = 6 units.

Where x and y are the dimensions of the rectangle. We also must have that:

Now, because we have limits, the largest area (which is the product of x and y) happens when x and y have the same value x = y, then we have:

√(x + x) = 6 units.

√(2x) = 6 units.

x = (√3)/2 = y

So the rectangle is actually a square of side length =  (√3)/2

If you want to learn more about rectangles, you can read:

https://brainly.com/question/17297081

√5

You know that √4 = 2

so √5 > 2

2.5 * 2.5 = 6.25,

√6.25 = 2.5

so √5 in between 2 & 2.5

2 < n < 2.5

π/3

π/3 ≈ 3.14/3

3/3 = 1

4.5/3 = 1.5

π is in between 3 & 4.5

1 < n < 1.5

√3

√2.25 = 1.5

√4 = 2

√3 is in between

1.5 < n < 2

Hope this helped!

Answer:

40

Step-by-step explanation:

50 / 10 = 5

8 * 5 = 40

Both should be divisible by same amount and that is 5.

Answer:

40

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1. 32x/15

2. 2/x-4

3. 1/10x+10

4. 3x^6/5x^9

5. (x-3)(x-9)/6

6. x^2/3

Step-by-step explanation:

multiply the Numerator with the Numerator of other number and multiply the denominator of the first with the denominator of the second. Find a common factor in both the Numerator and denominator to be able to cross out the identical factors.