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3 years ago

The collection of whole numbers is an example of a set

1 answer:

6 0

Answer:What are Whole Number? ... 17, 99, 267, 8107 and 999999999 are examples of whole numbers. Whole numbers include natural numbers that begin from 1 onwards. Whole numbers include positive integers along with 0.

Step-by-step explanation:

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Mrs. Galicia has a cupcake company. The amount of money earned is represented by

sashaice [31]

Using the profit function, it is found that:

a) She earns $36 after 25 years.

b) The function was shifted right 4 units and up 1 units.

<h3>What is the profit function?</h3>

The profit, in x years after 2015, is given by:

$p(x) = 12\sqrt[3]{x + 2}$

Item a:

She earns $36 after x years, considering x for which p(x) = 36, hence:

$p(x) = 12\sqrt[3]{x + 2}$

$36 = 12\sqrt[3]{x + 2}$

$\sqrt[3]{x + 2} = 3$

$(\sqrt[3]{x + 2})^3 = 3^3$

$x + 2 = 27$

$x = 25$

She earns $36 after 25 years.

Item b:

The new function is:

$h(x) = 12\sqrt[3]{x - 2} + 1$

At the domain, we have that $x + 2 \rightarrow x - 2$ , that is, $x \rightarrow x - 4$ , hence it was shifted right 4 units.

At the range, we have that $h(x) = h(x - 4) + 1$ , hence it was shifted up 1 unit.

You can learn more about functions at brainly.com/question/24380382

6 0

2 years ago

a ballon is released from the of a platform that is 50 meters tall. The ballon rises at the rate of 4 meters per second. Write a

Elanso [62]

Y = 4x + 50

y is height, 4 meters per second (x), 50m initial height

7 0

2 years ago

PLEASE HELP ASAP!!! THANK YOU! please!

andrew-mc [135]

Answer: 5. x=33, y= 33, z=114

Step-by-step explanation: the triangles and supplementary lines all add to 180, so find one of them, and use that one to find the others

5 0

2 years ago

Read 2 more answers

In the past you paid 800 per month to rent your apartment. You now pay 900 per month for your rent. What is the percent increase

Lena [83]

I think the answer to this question is 10% but I don’t know if it’s right

3 0

2 years ago

Please help me!!! Geometry question.

tigry1 [53]

Answer:

The volume of the figure is $(\frac{l^{3}}{3})[\frac{\pi }{2}-1]\ units^{3}$

Step-by-step explanation:

we know that

The volume of the figure is equal to the volume of the cone minus the volume of the square pyramid

step 1

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=\frac{l\sqrt{2}}{2}\ units$ ----> the diagonal of the square base of pyramid is equal to the diameter of the cone

$h=l\ units$

substitute

$V=\frac{1}{3}\pi (\frac{l\sqrt{2}}{2})^{2}(l)$

$V=\frac{1}{6}\pi (l)^{3}\ units^{3}$

step 2

Find the volume of the square pyramid

The volume of the pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the base

h is the height of the pyramid

we have

$h=l\ units$

$B=l^{2}\ units^{2}$

substitute

$V=\frac{1}{3}l^{2}(l)$

$V=\frac{1}{3}l^{3}\ units^{3}$

step 3

Find the volume of the figure

$\frac{1}{6}\pi (l)^{3}\ units^{3}-\frac{1}{3}l^{3}\ units^{3}=(\frac{l^{3}}{3})[\frac{\pi }{2}-1]\ units^{3}$

5 0

3 years ago