Can anyone help solve this step by step?

Answer:   The answer to your question is Cost of a serving = $0.62

Step-by-step explanation:

Data

diameter = 3.5 in

height = 5 in

each serving = 15 in³

Cost of the can = $1.99

Process

1.- Calculate the volume of the can

Volume = πr²h

-Substitution

Volume = (3.14)(3.5/2)²(5)

-Simplification

Volume = (3.14)(3.062)(5)

-Result

Volume = 48.08 in³

2.- Use proportions and cross multiplication to find the cost of a serving.

                  48.08 in³ ---------------- $1.99

                        15  in³ ----------------  x

                         x = (15 x 1.99)/48.08

                         x = 29.85/48.08

                         x = $0.62

Answer:

a. 35, 34

b. 25, 18

Step-by-step explanation:

Answer:

28ares

Step-by-step explanation:

that's the correct way.i hope you will understand it. if there's any question feel free to ask. nice day.

Answer:

1/2

Step-by-step explanation:

50/100 = 5/10 =1/2

in it's simplest form

;)

Answer:

[tex]29i[/tex]

Step-by-step explanation:

From this information, we can write the following equation: [tex](2-5i)(2 + 5i)(i)[/tex]

We can see that there is the factorization of the difference of squares, so we can first expand that. The equation will become the following: [tex](4+25)(i)[/tex]

= [tex]29i[/tex]

hope this helped! :)

Answer: yes

Step-by-step explanation:

it’s the 41st term

Answer:

See below

Step-by-step explanation:

She could have each student in the class write his or her name on a slip of paper and put it in a bowl. Then, she could shake the bowl and pull out any slip of paper with a student's name on it. After 3 times, the random sample would be over, and Mrs. Purdue would have her 3 representatives.

The values of n does either player have a winning strategy is; Player B has a winning strategy for all n ≥ 2.

Let us use an example to solve this question. The game is played on the complete graph Kₙ (n ≥ 2), which consists of n vertices, each pair of vertices joined by an edge.

Now, Initially all edges are unpainted. At each turn, A chooses an edge, which B paints blue or red. Now, B will win if, after the last edge is painted, there is a vertex which is joined to all other vertices by blue edges. If that doesn't happen, then A wins.

The winning strategy of B is described by 3 rules which are;

Thus, if n >2, the first edge will always be painted red, the second will always be painted blue.

In conclusion, when we apply that same scenario to our question it is the same result and as such Player B has a winning strategy for all n ≥ 2.

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The number of whole revolutions for 1000 meters is 265, while the time taken to move 1000 meters with a speed of 40rev/min is 7minutes.

This is the number of times a body moves round  a circular path.

A revolution is equal to the circumference of a circle.

Analysis:

r  = 120/2 = 60cm

1 revolution of a circle = 2πr

Let n be the number of revolutions

so that 2πr x n = 1000 x 100 since 100 cm = 1 m

n = 100000/2πr = 265 revolutions

If the Fan turns 40 rev / minute

Then it 265 revolutions = 1000 meters, 265/40 = 7 minutes

In conclusion, the number of revolutions for 1000 meters is 265 and the time taken for 265 revolutions is 7 minutes.

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Answer:

No, because if a cone and a cylinder have bases with equal areas, and both have identical heights, then the volume of the cone is one-third the volume of the cylinder.

Answer:

b

Step-by-step explanation:

[tex] = \frac{68}{5} - \frac{18}{5} \\ [/tex]

[tex] = \frac{50}{5} \\ [/tex]

Change into lowest term

[tex]10...[/tex]

Answer:

I'm not too sure but I think It's 34

Step-by-step explanation:

Rusty in that particular area of math

Answer:

672

[tex]A_L = (a+b+c)h = (12+10+20)*16 = 672[/tex]

Answer:

-18a⁸

Step-by-step explanation:

-2a²(-3a³)²
-2a²*9a⁶ (Opening the square)
-18a⁸

Answer:

3x^2 [squared] + 20x + 32 (If your factoring)

Step-by-step explanation:

3x X x = 3x^2

3× X 4 = 12x

8 X x = 8x

8 X 4 = 32

Answer:

B

Step-by-step explanation:

The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.

A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.

it is also called the cuboid.

Analysis:

The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.

Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.

[tex](diagonal)^{2}[/tex] = [tex](length)^{2}[/tex] + [tex](width)^{2}[/tex]

[tex](diagonal)^{2}[/tex] = [tex](14)^{2}[/tex] + [tex](13)^{2}[/tex]

                 = 196 + 169 = 365

 [tex](diagonal)^{2}[/tex] = 365

diagonal = [tex]\sqrt{365}[/tex] = 19.1cm

In conclusion, the length of the longest diameter is 19.1cm

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Answer:

  12600 cm³

Step-by-step explanation:

The volume of a prism is the product of its base area and height:

  V = Bh

__

For your prism, this product is ...

  V = (630 cm²)(20 cm) = 12600 cm³

The volume of the box is 12600 cm³.

Answer:

its 5/7

Step-by-step explanation:

no of marbles that r not orange = 30

no of total marbles = 42

probability = 30/42

= 15/21

= 5/7

I hope my answer is helpful

So if length be L and width be B

We know

Perimeter

So if he wants to create a rectangle advertisement

The sum of length and breadth must be 80

If it's square

It should have side as 40in

Answer:

correct option is A i.e. 8/3

Answer:

[tex]\frac{1}{3} x^3 - x^2 + 4x[/tex]

Step-by-step explanation:

All this takes is the use of the power rule, which, for integrals, says that

∫[tex]x^n[/tex] = [tex]\frac{1}{n+1}x^{n+1}[/tex].

With this in mind, we can integrate:

∫[tex]x^2 - 2x + 4[/tex]

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

We can also check our answer by differentiating our answer:

[tex]\frac{d}{dx} (\frac{1}{3}x^3 - x^2 + 4x)\\\\ = x^2 - 2x + 4[/tex]

so we are correct!

hope this helped!

Answer: 4

Step-by-step explanation:

3^2 + b^2 = 5^2

9 + b^2= 25

b^2 = 16

b = ±4

Answer:

The simple answer is 4 inches for steps look below

Step-by-step explanation:

According to pythagoras theorem

[tex] {5}^{2} = {3}^{2} + {x}^{2} \\ \\ \\ 25 - 9 = {x}^{2} \\ \\ x = 4[/tex]

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

The limits of the domain and the range are 0 to 200, respectively; and you would use the minimum and maximum values of the domain and range because the graph of the inequality uses a solid line.

The items selected here could be any of the listed drinks and food items.

To solve this question, we use the following selection:

In this case, we use the less than or equal to inequality.

So, we have:

0.5x + 0.5y ≤ 100

In (b), we have:

0.5x + 0.5y ≤ 100

Subtract 0.5x from both sides

0.5y ≤ -0.5x + 100

Divide through by 0.5

y ≤ -x + 200

This means that the slope is -1, and it means that for every food item bought, there is a decrement of 1 in the drink.

See attachment for the graph of the inequality

The features of the graph include

From the attached graph, we have:

This means that you can buy 200 food items, when you buy no drinks or buy 200 drinks when you buy no food item

These are the acceptable x and y values of the graph.

From the attached graph, we have:

The domain and range are different from the domain and range of any linear equation because the domain and the range of a linear equation is the set of all real numbers, while this domain and range are limited to 0 to 200

Read more about linear inequality at:

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Answer:

$44,492.33

Step-by-step explanation:

Compound Interest Formula

Solving

[tex]\text{It is an equilateral triangle, so all angles are equal to}~ 60^{\circ}\\\\~~~~~~m\angle 2 = x+72\\\\\implies 60 = x+72\\\\\implies x = 60-72\\\\\implies x = -12[/tex]

Answer:

0.2584

Step-by-step explanation:

First off 10 to the 5th power is 10 x 5 = 50, so 12.92 / 50 is 0.2584.

Answer:

∠G = 53°

∠H = 90°

∠I = 37°

Step-by-step explanation:  

∠H = 90°  because it is a right angle and all right angles = 90°

The sum of all angles in a triangle = 180°

∠H + ∠G + ∠I = 180°

90° + (5x - 7)° + (3x + 1)° = 180°

5x - 7 + 3x + 1 = 90°                         Subtract 90° from both sides

8x - 6 = 90                                       Adding like terms

8x = 96                                            Adding 6 to both sides

 x = 12                                             Dividing both sides by 8

Now solve for ∠G and ∠I using 12 as the value for x

∠G = (5x - 7)°                 ∠I = (3x + 1)°

∠G = 5·12 - 7                  ∠I = 3·12 + 1

∠G = 53°                         ∠I = 37°