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Drupady [299]
1 year ago
13

Which is the value of this expression when m-3 and n=-5

Mathematics
1 answer:
Vedmedyk [2.9K]1 year ago
3 0

Answer:

1/8

Step-by-step explanation:

(6m^-1n^0)^-3 =

= (6 × 1/3 × (-5)^0)^-3

= (6/3)^-3

= 2^-3

= 1/2^3

= 1/8

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Can someone help me please i didnt learn this
OLga [1]

Answer:

1.) Exponential Growth

2.) Exponential Decay

3.) Exponential Growth

4.) Exponential Decay

Step-by-step explanation:

<u>1.) </u><u><em>f (x) </em></u><u>= 0.5 (7/3)^</u><u><em>x</em></u>

            ↓

always increasing

<u>2.) </u><u><em>f (x) </em></u><u>= 0.9 (0.5)^</u><u><em>x</em></u>

<em>             </em>↓

always decreasing

<u>3.) </u><u><em>f (x) </em></u><u>= 21 (1/6)^</u><u><em>x</em></u>

            ↓

always increasing

<u>4.) </u><u><em>f (x) </em></u><u>= 320 (1/6)^</u><u><em>x</em></u>

<em>          </em>   ↓

always decreasing

<u><em>EXPLANATION:</em></u>

It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

7 0
3 years ago
In a year group there 100 boys and 140 girls. Write as a ratio the number of boy to the number of girls. Give the answer in the
expeople1 [14]

no. of boys : no.of girls

100 : 140

to get the simplest ratio you gotta divide both with a common factor

Because both 100 and 140 share a common factor of 20

the simplest ratio will be

100/20 : 140/20

5:7

5:7 is the simplest ratio

5 0
2 years ago
Read 2 more answers
What is 2.50x + 4x = 39
34kurt
2.5x + 4x = 39
6.5x = 39
x = 39 / 6.5
x = 6
4 0
3 years ago
Read 2 more answers
As a promotion, a clothing store draws the name of one of its customers each week. The prize is a coupon for the store. If the w
kompoz [17]

The given formula is f(x) = 20(1.2)^x

The formula is the starting amount multiplied by 1 + the percentage raised to the number of weeks.


A) the percent increase is 20% ( 1.2 in the formula is 1 +20% as a decimal)

B) the original amount is $20

C) for 2 weeks, replace x with 2 and solve:

20(1.2)^2

20(1.44) = $28.80

After 2 weeks the coupon is $28.80

D)  To solve for the number of weeks (x) set the equation equal to $100:

100 = 20(1.2)^x

Divide both sides by 20:

5 = 1.2^x

Take the natural logarithm of both sides:

ln(5) = ln(1.2^x)

Use the logarithm rule to remove the exponent:

ln(5) = x ln(1.2)

Divide both sides by ln(1.2)

x = ln(5) / ln(1.2)

Divide:

X = 8.83

At 8.83 weeks the coupon would be $100, so after 9 weeks the coupon would be greater than $100

The answer is 9 weeks.

4 0
3 years ago
A triangular prism has a volume of 832m3. The area of the base is 64m2. What is the height of the prism?
dolphi86 [110]

Answer:

13 m

Step-by-step explanation:

volume=1/2(b×h)×length/height

height =volume÷base area(1/2b×h)

832÷64=13m

6 0
2 years ago
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