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3 years ago

5

in the ratey the cat animation there is a guy who earns $10 per lawn complete the table below that represents money earned per l

awn Lawns mowed 1 2 3 5 10 money earned 250

1 answer:

Setler [38]3 years ago

7 0

earns $10 PER lawn. Complete the table below that represents money earned PER lawn. Lawns Mowed. Money Earned. 1. 2. 3. 5. 10. 250.

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Given f(x)=17-x2, what is the average rate of change in f(x) over the interval [1, 5]?

Paha777 [63]

Answer:

- 6

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

here [ a, b ] = [ 1, 5 ]

f(b) = f(5) = 17 - 5² = - 8

f(a) = f(1) = 17 - 1² = 16

average rate of change = $\frac{-8-16}{5-1}$ = $\frac{-24}{4}$ = - 6

6 0

3 years ago

Which expression is equivalent to 6–3?

Bond [772]

Your question is not well presented. See complete question below

Which expression is equivalent to $6^{-3}$ ?

A) –63

B) 36

C) $\sqrt[3]{6}$

D) $(\frac{1}{6} )^3$

Answer:

The equivalent of $6^{-3$ is $(\frac{1}{6} )^3$

Step-by-step explanation:

Given

Expression: $6^{-3}$

Required:

Find the Equivalent Expression

To find the equivalent of this expression, we make use of law of indices.

One of the laws of indices states that

$a^-b = \frac{1}{a^b}$

If we apply this law to the expression above ( $6^{-3}$ )

By comparison a = 6 and b = 3.

So, $6^{-3}$ becomes

$6^{-3}$ = $\frac{1}{6^3}$

Simplifying further;

$\frac{1}{6^3}$ = $\frac{1}{6 * 6 * 6}$

This can also be written as

$\frac{1}{6^3}$ = $\frac{1*1*1}{6 * 6 * 6}$

By splitting the above expression; we have that

$\frac{1}{6^3}$ = $\frac{1}{6} * \frac{1}{6} * \frac{1}{6}$

Multiplication law of indices states that;

a * a * a = a³. (Because they have the same base of a)

So, $\frac{1}{6} * \frac{1}{6} * \frac{1}{6}$ can then be written as $(\frac{1}{6} )^3$

Hence, $\frac{1}{6^3}$ = $(\frac{1}{6} )^3$

So, the equivalent of $6^{-3}$ is $(\frac{1}{6} )^3$

7 0

3 years ago

Can someone please help

BlackZzzverrR [31]

Answer:

i dont see an image

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the probability there are exactly 2 customers in line in a two-server model? selected answer:

svlad2 [7]

Im the answer choice is g.

6 0

4 years ago

The perimeter of a rectangle is 72 cm. The length is 3 more than twice the width What

solmaris [256]

<h3><u>Solution</u></h3>

<u>Given </u><u>:</u><u>-</u>

Perimeter of rectangle = 72 cm
The length is 3 more than twice the width.

<u>F</u><u>i</u><u>n</u><u>d</u><u> </u><u>:</u><u>-</u>

Dimensions of rectangle

<h3 /><h3><u>Explantion</u></h3>

<u>Using </u><u>Formula</u>

$\boxed{\underline{\tt{\red{\:(perimeter_{rectang}\:=\:2\times (Length+Width)}}}}$

<u>Let,</u>

Length of Rectangle = x cm
Breadth of Rectangle = y cm

<u>According</u><u> to</u><u> question</u><u>,</u>

==> perimeter of Rectangle = 72

==> 2(x+y) = 72

==> x + y = 72/2

==> x + y = 36_________________(1)

<u>Again,</u>

==> x = 2y + 3

==> x - 2y = 3__________________(2)

<u>Subtract</u><u> </u><u>equ(</u><u>1</u><u>)</u><u> </u><u>&</u><u> </u><u>equ(</u><u>2</u><u>)</u>

==> y + 2y = 36 - 3

==> 3y = 33

==> y = 33/3

==> y = 11

<u>keep </u><u>in </u><u>equ(</u><u>1</u><u>)</u>

==> x - 2×11 = 3

==> x = 3 + 22

==> x = 25

<h3><u>Hence</u></h3>

<u>Length</u><u> of</u><u> </u><u>Rectangle</u><u> </u><u>=</u><u> </u><u>2</u><u>5</u><u> </u><u>cm</u>
<u>Width </u><u>of </u><u>Rectangle</u><u> </u><u>=</u><u> </u><u>1</u><u>1</u><u> </u><u>cm</u>

<h3><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u></h3>

<h3 />

7 0

3 years ago