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2 years ago

What expression is equivalent to (2^3)^-5

Mathematics

1 answer:

aliya0001 [1]2 years ago

7 0

Answer:

2^-15 or 1/2^15

Step-by-step explanation:

3*-5 is -15 so that makes it 2^-15

Apply the exponent rule a^-b = 1/a^b

That changes it to 1/2^15

Hope this helped! :)

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3/19% of a quantity is equal to <br> blank of the quantity.

geniusboy [140]

Answer:

.15 percent

Step-by-step explanation:

I just divided 3 by 19 and set them equivalent to each other.

4 0

2 years ago

A unit rate is a ratio that compares an amount of one quantity to _______________ unit of another quantity.

masya89 [10]

Answer:

one

Step-by-step explanation:

A unit rate compares a quantity to one unit of measure.

6 0

1 year ago

Your grandparents invested $2,000 for you on the day you were born. How much will this investment be worth on your 25th birthday

algol [13]

We know that, Amount in Compound interest is given by :

$\bigstar \ \ \boxed{\sf{Amount = Principal\bigg(1 + \dfrac{Rate \ of \ Interest}{100}\bigg)^{Time \ Period}}}$

Given : Principal = $2000

Given : Annual yield is 5% and the interest is compounded quarterly

It means : Interest is compounded 4 times in a year

$\implies \sf{Rate \ of \ Interest = \dfrac{R}{4} = \dfrac{5}{4}}$

$\sf{\implies Time \ period = (25 \times 4) = 100}$

Substituting all the values in the formula, we get :

$\implies \sf{Amount = 2000\bigg(1 + \dfrac{\dfrac{5}{4}}{100}\bigg)^{100}}$

$\implies \sf{Amount = 2000\bigg(1 + \dfrac{5}{400}\bigg)^{100}}$

$\implies \sf{Amount = 2000\bigg(1 + \dfrac{1}{80}\bigg)^{100}}$

$\implies \sf{Amount = 2000\bigg(\dfrac{81}{80}\bigg)^{100}}$

$\implies \sf{Amount = 2000 \times (1.0125)^{100}}$

$\implies \sf{Amount = 2000 \times 3.463}}$

$\implies \sf{Amount = 6926.8}$

8 0

2 years ago

How would i anser this select all the ratios equivalent to 4:6

Natali5045456 [20]

If we try to simplify the ratio or try to multiply both by any number, we will get the equivalent ratio

Like :

$\frac{4}{6} \\$

Divide ( simplify ) by 2

$\frac{ \frac{4}{2} }{ \frac{6}{2} } \\ \\ \\ = > \frac{2}{3}$

Or multiply by any number,

$\frac{4}{6} \\ \\ \\ = > \frac{4 \times 2}{6 \times 2} \\ \\ \\ = > \frac{8}{12}$

From the example, 2 / 3 and 8 / 12 are equivalent ratios to 4 / 6

6 0

2 years ago

US Department of Transportation As part of a study on transportation safety, the US Department of Transportation collected data

Nonamiya [84]

Answer:

we can conclude that for every single unit of : x, y would be increased by 0.2871. and intersection of x and y will be through =1.5974

it can be concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21

Step-by-step explanation:

WITH THE GIVEN DATA

A ) using regression to investigate the relationship between the number of fatal accidents and the percentage of drivers under the age pf 21

to fit into a regression line we must have ∝ and β

where β = $\frac{S_{xy} }{S_{xx} }$ = 0.2871

and ∝ = y - βx = - 1.5974

regression line = ∝ + β * x

insert values into regression line equation

regression line = -1.5974 + 0.2871 * x

we can conclude that for every single unit of : x, y would be increased by 0.2871. and intersection of x and y will be through =1.5974

B ) conclusion and recommendations can you derive from your analysis

it can be concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21

using the correlation coefficient ( r ) = $\frac{S_{xy} }{\sqrt{S_{xx}*S_{xy} } }$ = 0.8394

5 0

2 years ago