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3 years ago

6

A truck rental company charges $50 plus $10 per hour. Identify a function that represents the total charge for renting a truck f

or a certain number of hours. What is the value of the function for an input of 4, and what does it represent?

1 answer:

Reil [10]3 years ago

4 0

Answer:

c(h) = 50 +10h

c(4) = 90 . . . . . it costs $90 to rent the truck for 4 hours

Step-by-step explanation:

The problem statement tells you the total charge is the sum of $50 and a charge of $10 per hour. That is, for h hours, the total charge is ...

c = 50 + 10h

In functional form, this is ...

c(h) = 50 +10h . . . . . . total charger for a rental of h hours

__

The function value with an input of 4 is ...

c(4) = 50 +10·4

c(4) = 90

Since the input is the number of hours of rental, and the function value is the total charge, this represents the total charge for a rental of 4 hours.

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What is the perimeter of quadrilateral ABCD?

alex41 [277]

Answer:

Perimeter of quadrilateral $ABCD$ will be $104$

Step-by-step explanation:

Given quadrilateral $A'B'C'D'$ is a reflection of quadrilateral $ABCD$ over the line $m$ .

So, all the corresponding sides of both the quadrilateral should be equal.

Also, we can see from the diagram that $A'D'=32,\ A'B'=22,\ BC=20,\ and\ CD=30$

As both image are reflection of same scale we can add corresponding sides.

So, the perimeter of $ABCD$ will be

$AB+BC+CD+DA$

And we have $AB=A'B'\ and\ AD=A'D'$

Now, perimeter of $ABCD$ will be $22+20+30+32$

Perimeter of quadrilateral $ABCD$ is $104$

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3 years ago

A cylinder with a diameter of 10 inches (in.) and a cube are shown.

Scorpion4ik [409]

Answer:

C

Step-by-step explanation:

the volume of the cylinder is 3769.91

the volume of the cube is 1000

so the cylinder's volume is clearly larger than the cube's volume.

7 0

3 years ago

D=5.32 to the nearest hundredth

babymother [125]

<span>5.32 to the nearest hundredth
= 5.32

hope that helps</span>

3 0

3 years ago

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

$14.14*3=42.42\ in^{3}$

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3 years ago

An open box is to be made from a six inch by six inch piece of material by cutting equal squares from the corners and turning up

Virty [35]

Answer:

8 inch³

Step-by-step explanation:

Side should be 2 inch

Volume = side³ = 2³ = 8 inch³

4 0

3 years ago

Read 2 more answers