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Alex_Xolod [135]
3 years ago
12

From the given equation

Mathematics
1 answer:
Katarina [22]3 years ago
5 0

Answer:

  • <em>See attached</em>

a)

<u>The table:</u>

  • <u>x | -3 | -2 | -1 | 0 | 1  | 2 | 3</u>
  • y | -5 | -3 | -1 | 1  | 3 | 5 | 7

b)

  • The graph is pictured

c)

  • The y-intercept has coordinates of (0, 1)

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The image shows three tennis balls enclosed in a cylindrical can. Choose all that are correct. The volume of a single tennis bal
Fynjy0 [20]

Answer:

The volume of a single tennis ball is 14.14\ in^{3}

The volume of three tennis balls is 42.42\ in^{3}

Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

V=\frac{4}{3}\pi r^{3}

where r is the radius of the sphere

In this problem

r=3/2=1.5\ in

substitute

V=\frac{4}{3}\pi (1.5)^{3}

V=14.14\ in^{3}

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

V=\pi r^{2} h

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

r=3/2=1.5\ in

h=8.4\ in

substitute

V=\pi (1.5)^{2}(8.4)

V=59.38\ in^{3}

Statement

<u>case A)</u> The volume of a single tennis ball is 14.14\ in^{3}

The statement is true

See the procedure in Step 1

<u>case B)</u> The volume of the can is 56.55\ in^{3}

The statement is false

The volume of the can is 59.38\ in^{3} --> see the procedure Step 2

<u>case C)</u> The empty space inside the can is 14.13\ in^{3}

The statement is false

To find the empty space subtract the volume of three tennis ball from the volume of the can

59.38\ in^{3}-3*14.14\ in^{3}=16.96\ in^{3}

<u>case D)</u> The volume of three tennis balls is 42.42\ in^{3}

The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

14.14*3=42.42\ in^{3}

8 0
3 years ago
The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?
Sunny_sXe [5.5K]

Answer:.OA. -4

Step-by-step explanation:

4 0
3 years ago
You are serving bratwurst and hamburgers at your annual picnic. You want at least three bratwursts or hamburgers for each of you
Firlakuza [10]
1.3*3=3.90
3.90*35=136.50
136.50 is all you need to provide at least three of the most expensive items.
You still have 13.50 left over
6 0
3 years ago
Read 2 more answers
The graph of the function B is shown below. find B(1).
Furkat [3]

Answer:

B(1) = 2

Step-by-step explanation:

Function B(x), according to the graph, which point has an x-value of 1? Point (1, 2). So the solution is 2.

4 0
3 years ago
What is the solution for m &gt;7/12
Over [174]

Answer:

Inequality Form: m > 7/12

Interval Notation: (7/12, ∞)

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