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3 years ago

1. Find the degree of the monomial 6p3q2.

1 answer:

7 0

1. degree of monomial...add the exponents...degree of 5
2. 7t^2 + 9 + 6t^2 + 8 = 13t^2 + 17
3. 3n(4n^2 + 5n) = 12n^3 + 15n^2
4. 18s - 63 = 9(2s - 7)
5. ?? simpler form of what ?
6. (x + 7)(x + 5) = x^2 + 5x + 7x + 35 = x^2 + 12x + 35
7. (2z - 3)(2z - 3) = 4z^2 - 6z - 6z + 9 = 4z^2 - 12z + 9

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The volume of a sphere can be determined by the formula V = 4/3 πr^3, where r is the radius. What is the volume of a sphere with

allochka39001 [22]

Answer:

$V = \frac{99}{7} x^{9}y^{-6}$

Step-by-step explanation:

Given

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

Required

Find V when

$r = \frac{3}{2}x^3y^{-2$

Substitute $\frac{3}{2}x^3y^{-2$ for r in $V = \frac{4}{3}\pi r^3$

$V = \frac{4}{3}\pi * (\frac{3}{2}x^3y^{-2})^3$

Open bracket

$V = \frac{4}{3}\pi * \frac{3}{2}^3 * x^{3*3}y^{-2*3}$

$V = \frac{4}{3}\pi * \frac{27}{8} * x^{9}y^{-6}$

Simplify the fractions

$V = \pi * \frac{9}{2} * x^{9}y^{-6}$

Let

$\pi = \frac{22}{7}$

So:

$V = \frac{22}{7} * \frac{9}{2} * x^{9}y^{-6}$

$V = \frac{11}{7} * \frac{9}{1} * x^{9}y^{-6}$

$V = \frac{99}{7} * x^{9}y^{-6}$

$V = \frac{99}{7} x^{9}y^{-6}$

6 0

3 years ago

In relation t a functions? Is the inverse of relation t function

frozen [14]

Answer:

Relation t is a function. The inverse of relation t is not a function ⇒ 3rd

Step-by-step explanation:

* Lets explain how to solve the problem

- A relation is a set of inputs and outputs, and a function is a relation

with one output for each input

- Ex: T = {(1 , 2) , (3 , 5) , (-4 , 0)} is a function because every input has

only one output

- To find the inverse of a function we switched the input and the

out put

- The inverse of a function may not always be a function

* Lets solve the problem

∵ The relation t is the set of ordered pairs of x and y

x = 0 2 4 6

y = -8 -7 -4 -4

∵ x = 0 has only y = -8

∵ x = 2 has only y = -7

∵ x = 4 has only y = -4

∵ x = 6 has only y = -4

∴ Every value of x has only one value of y

∴ Relation t is a function

* Lets find its inverse by switching x and y

∵ The inverse function of t is :

x = -8 -7 -4 -4

y = 0 2 4 6

∵ x = -8 has only y = 0

∵ x = -7 has only y = 2

∵ x = -4 has y = 4 and y = 6

∴ Not every value of x has only one value of y

∴ The inverse of relation t is not a function

* Relation t is a function. The inverse of relation t is not a function

4 0

2 years ago

1111111111!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

FinnZ [79.3K]

Answer:

1 1/2 or 3/2

Step-by-step explanation:

8 1/4 divided by 5 1/2

Convert to improper fraction

33/4 divided by 11/2=66/44

Simplify this to get 1 1/2 or 3/2

6 0

2 years ago

Read 2 more answers

Andrea's living room floor is a rectangle 12 feet by 15 feet. She wants to buy a rug that is geometrically similar to her living

Sliva [168]

Answer:

180 square feet

Step-by-step explanation:

A rug that is geometrically similar to her room floor is one that has the same size as her room floor.

The floor has dimensions 12 feet by 15 feet.

The area of the floor and hence, the rug is:

A = 12 * 15 = 180 square feet

She should buy a rug that is 180 square feet

7 0

3 years ago

PLEASE HELP!!! Write an absolute value equation representing all numbers x whose distance from 0 is 10 units.

tangare [24]

X would be the absolute value of 10 or -10 since they both are 10 units from 0 so it can be x=l10l or x=l-10l, they both equal 10

5 0

3 years ago