Which of the following is not always true for a function?

A company makes spherical tanks that store chemicals. Their standard model has a diameter of 6 meters, but a customer needs a la

Deffense [45]

Answer:

The approximate diameter of the larger tank is 8.10 meters

Step-by-step explanation:

Here, we want to calculate the diameter of the larger tank

The volume of a sphere

V = 4/3 * π * r^3

Let us calculate the volume of the standard model

That will be;

Since diameter is 6 and r = d/2

r = 6/2 = 3 meters

V = 4/3 * π * 3^3 = 36 π m^3

Now, the volume of the larger tank is 2.5 times of this;

The volume of the larger tank is 2.5 * 36 π = 90 π m^3

So we can calculate the radius of this before we calculate its diameter

4/3 * π * r^3 = 90 π

4r^3/3 = 90

r^3 = 270/4

r^3 = 67.5

r = 3x√(67.5)

r = 4.07 m

Diameter here is 2 times this

= 4.07 * 2 = 8.14

6 0

3 years ago

Chapman’s brickyard sells bricks and blocks. A brick costs $0.38 and a block costs $1.56. The brickyard filled a $24.80 order, w

Ludmilka [50]

Answer:

a) $\left \{ {{0.38x+1.56y=24.80} \atop {x+y=28}} \right.$

b) 12 blocks and 16 bricks.

Step-by-step explanation:

Let x represent the number of bricks and y represent the number of blocks. Each brick costs $0.38; this gives us the expression 0.38x. Each block costs $1.56; this gives us the expression 1.56y. Together they totaled $24.80; this gives us the equation

0.38x + 1.56y = 24.80

We also know that the number of bricks, x, added to the number of blocks, y, totaled 28; this gives us

x + y = 28

To solve this, we will use substitution. First we will isolate x in the second equation by subtracting y from each side:

x + y = 28

x + y - y = 28 - y

x = 28 - y

Now we substitute this in place of x in the first equation:

0.38(28 - y) + 1.56y = 24.80

Using the distributive property, we have

0.38(28) - 0.38(y) + 1.56y = 24.80

10.64 - 0.38y + 1.56y = 24.80

Combining like terms gives us

10.64 + 1.18y = 24.80

Subtract 10.64 from each side:

10.64 + 1.18y - 10.64 = 24.80 - 10.64

1.18y = 14.16

Divide both sides by 1.18:

1.18y/1.18 = 14.16/1.18

y = 12

There were 12 blocks sold.

Substituting this into the second equation gives us

x + 12 = 28

Subtract 12 from each side:

x + 12 - 12 = 28 - 12

x = 16

There were 16 bricks sold.

3 0

4 years ago

Read 2 more answers

How do I solve the scientific notation?

Olegator [25]

Answer:

for example if you gave 2x ten to the power of 3, that is scientific notation. So if you take it out of scientific notation you hwv3 2000.

Step-by-step explanation:

3 is amount of times you move to decimal to the right. So there is an invisible decimal after 2 so that gives you 2.0 So you take that decimal point and move it to the right three times. then you have 2000. but if you had 2× 10 to the power of 4, you would move the decimal to the right 4 times.

5 0

3 years ago

2. The elevator in the Washington Monument takes 75 seconds to travel 506 feet to the top floor. What is the speed of the elevat

Rudik [331]

Answer: the speed of the elevator is 4.6 miles per hour.

Step-by-step explanation:

Given, The elevator in the Washington Monument takes 75 seconds to travel 506 feet to the top floor.

Since 1 hour = 3600 seconds

⇒ 1 second = $\dfrac{1}{3600}$ hour