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4 years ago

Chose the correct simplification of the expression (3xy^4)^2(y^2)^3

Mathematics

2 answers:

svet-max [94.6K]4 years ago

5 0

Answer:

9x^2 y^14

Step-by-step explanation:

kogti [31]4 years ago

3 0

Answer: $9x^{2}yx^{14}$

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Step-by-step explanation:

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4 years ago

Which expression is equivalent to X^-5/3

dolphi86 [110]

Answer:

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Step-by-step explanation:

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3 years ago

a gym charges a one time fee of $50 and monthly membership charge of $25 the total cost c of being a member of the gym is given

marissa [1.9K]

A. The slope is 25 and it is the rate of change per month. You will pay this additional amount if you go to the gym every month.
b. The y-intercept is 50. This amount is the constant and does not change since it is a one time fee for the year.

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4 years ago

Read 2 more answers

A rectangle park measures 300 ft by 400 ft. A sidewalk runs diagonally from one comer to the opposite corner. Find the length o

DochEvi [55]

The length of side walk is 500 feet

Solution:

Given that, A rectangle park measures 300 ft by 400 ft

Length = 300 feet

Width = 400 feet

A sidewalk runs diagonally from one comer to the opposite corner

We have to find the length of side walk

Which means, we have to find the length of diagonal of rectangle

The diagonal of rectangle is given by formula:

$d = \sqrt{w^2+l^2}$

Where,

d is the length of diagonal

w is the width and l is the length of rectangle

Substituting the values in formula, we get

$d = \sqrt{400^2+300^2}\\\\d = \sqrt{160000+90000}\\\\d = \sqrt{250000}\\\\d = 500$

Thus length of side walk is 500 feet

5 0

4 years ago

The table shows the distance Allison drove on one day of her vacation. Is the relationship between the distance and the time a p

Anuta_ua [19.1K]

Answer:

we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

In our case, the table shows the distance Allison drove on one day of her vacation.

Time (h) 1 2 3 4 5

Distance (mi) 55 100 165 280 250

using the equation

k = y/x

susbtitute y = 55, x = 1

k = 55/1 = 55

substitute y = 100, x = 2

k = y/x

k = 100 / 2 = 50

substitute y = 165, x = 3

k = y/x

k = 165 / 3 = 55

substitute y = 280, x = 4

k = y/x

k = 280 / 4 = 70

substitute y = 250, x = 5

k = y/x

k = 250 / 5 = 50

It is clear that the value of 'k' does not remain constant.

Therefore, we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

6 0

3 years ago

Chose the correct simplification of the expression (3xy^4)^2(y^2)^3​

Chose the correct simplification of the expression (3xy^4)^2(y^2)^3