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4 years ago

Using exponent laws please answer this

Mathematics

1 answer:

hram777 [196]4 years ago

7 0

Answer:

see below

Step-by-step explanation:

In addition to the exponent rule ...

(a^b)^c = a^(bc)

it is helpful to know the first few powers of some small integers.

5^3 = 125

9^2 = 81

4^3 = 64

2^6 = 64

125^3 = (5^3)^3 = 5^(3·3) = 5^9
81^7 = (9^2)^7 = 9^(2·7) = 9^14
(1/64)^3 = ((1/4)^3)^3 = (1/4)^(3·3) = (1/4)^9
(1/64)^3 = ((1/2)^6)^3 = (1/2)^(6·3) = (1/2)^18

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Nate is curious to learn how much elephants eat compared to the largest animal on Earth, the blue whale. He does some research a

umka21 [38]

Answer:

Kindly check explanation

Step-by-step explanation:

The number of blue whales residing in a particular ocean is estimated to be four. Find the estimated amount of kills the blue whales would have consumed by the turn of the year.

Given that:

Amount of krills consumed per year = 1460000

Number of Blue whales = 4

Hence, the estimated consumption of the blue whales will be :

Number of Blue whales * estimated consumption per whale :

(4 * 1460000) = 5840000

Hence,

Estimated consumption of the Blue whales per year = 5.84 × 10^6

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3 years ago

Which statements about these two functions are true? Select the TWO that apply. Function A is a linear function and Function B i

KengaRu [80]

Answer:

Function A is a linear function and Function B is a nonlinear function

Function A has a positive rate of change

Step-by-step explanation:

<u><em>Verify each statement</em></u>

Option 1) Function A is a linear function and Function B is a nonlinear function

The statement is True

Because

Function A

The function A represent a proportional relationship that can be expressed in the form

Find the value of k

For x=1, y=5 ----> $k=\frac{5}{1}=5$

For x=2, y=10 ----> $k=\frac{10}{2}=5$

For x=3, y=15 ----> $k=\frac{15}{3}=5$

$y=5x$

The graph is a straight line

therefore

Function A represent a linear function

Function B

we have

$y=4x^2+2$

This is a quadratic equation (vertical parabola open upwards)

The graph is a curved line

therefore

Function B represent a nonlinear function, because the graph is not a straight line

Option 2) Function B has two y-intercepts at (0, 2) and (0, –2)

The statement is False

Because

The y-intercept is the value of y when the value of x is equal to zero

For x=0

$y=4(0)^2+2=2$

Therefore

The function B has only one y-intercept at (0,2)

Option 3) Function A has a positive rate of change.

The statement is True

Because

The rate of change of the function A is equal to the slope

The slope of the function A is m=5

Is a increasing function

As x increases the value of y increases

As x decreases the value of y decreases

Option 4) Function B has a negative rate of change

The statement is False

Because

To find the average rate of change, we divide the change in the output value by the change in the input value

we have

$y=4x^2+2$

Is a vertical parabola open upward

The vertex of the function B is the point (0,2)

For the domain ----> (-∞,0)

The function is decreasing ( the rate of change is negative)

For the domain ----> (0,∞)

The function is increasing ( the rate of change is positive)

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3 years ago

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lorasvet [3.4K]

Answer:2

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3 years ago

Read 2 more answers

5. Solve the following equation for A : 2A/3 = 8 + 4A

denpristay [2]

Answer:

Step-by-step explanation:

Given

$\frac{2A}{3}$ = 8 + 4A

Multiply through by 3 to clear the fraction

2A = 24 + 12A ( subtract 12A from both sides )

- 10A = 24 ( divide both sides by - 10 )

A = - 2.4 → A

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4 years ago

Hey.. I’m really stuck on this page of homework, can anyone help?

eduard

Answer:

Easy!

Step-by-step explanation:

All you have to do is.. Percentage = (number you want to find the percentage for ÷ total) × 100. Move the decimal point two places to the right to convert from a decimal to a percentage, and two places to the left to convert from a percentage to a decimal.

Hope this helps :)

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2 years ago