use the product property of exponents to justify that (9^1/2)^2=9

Answer: a

Step-by-step explanation: edge 2020

Answer:

$360

Step-by-step explanation:

Let the amount that she earned on the paycheck be represented by x

Hence,

15% of x = $54

Therefore:

15/100 × x = $54

15x/100 = $54

Cross Multiply

15x = $54 × 100

15x = $5400

x = $5400/15

x = $360

Therefore, the amount that she earned on that paycheck = $360

Answer:

[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]

Step-by-step explanation:

Please refer to the attachment.

We have:

[tex]\csc(\cos^{-1}(x))[/tex]

First, we will let:

[tex]\cos^{-1}(x)=\theta[/tex]

Then:

[tex]x=\cos(\theta)[/tex]

So, the adjacent side of our triangle is x and the hypotenuse is 1.

Then by the Pythagorean Theorem, the opposite side is given by:

[tex]x^2+o^2=1^2[/tex]

So:

[tex]o=\sqrt{1-x^2}[/tex]

Going back, we have:

[tex]\csc(\cos^{-1}(x))[/tex]

Since arccos(x) is θ:

[tex]=\csc(\theta)[/tex]

Cosecant is the ratio of the hypotenuse over the opposite side. Therefore:

[tex]\displaystyle \csc(\theta)=\frac{1}{\sqrt{1-x^2}}[/tex]

Hence:

[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]

Answer:

The number of child tickets sold by the amusement park is 189.

Step-by-step explanation:

Let A represent the number of adult tickets and C represents the number of child tickets, therefore we have:

3:1 = C:A .................... (1)

Where;

C = ?

A = 63

Substituting for the value into equation (1), we have:

3:1 = C:63

This can be converted to solve for C as follows:

3 / (3 + 1) = C / (C + 63)

3 / 4 = C / (C + 63)

0.75 = C / (C + 63)

0.75(C + 63) = C

0.75C + (0.75 * 63) = C

0.75C + 47.25 = C

47.25 = C - 0.75C

47.25 = 0.25C

C = 47.25 / 0.25

C = 189

Therefore, the number of child tickets sold by the amusement park is 189.

Answer:

A

Step-by-step explanation:

The product mean multiplication

Answer:

[tex]644,000,000\ cm^2[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\Area\ of\ the\ map\ in\ m^2=64400\ m^2\\Hence,\ all\ we\ just\ have\ to\ do\ is\ to\ convert\ it\ into\ cm^2.\\Hence,\\Lets\ derive\ the\ formula\ of\ conversion\ from\ m^2\ to\ cm^2\ and\ vice\ versa.\\We\ know\ that,\\1m=100\ cm\\By\ squaring\ both\ the\ sides\ we\ get,\\(1m)^2=(100cm)^2\\Hence,\\1m^2=100^2\ cm^2\\1m^2=10,000\ cm^2\\Just\ in\ case\ you\ wanna\ convert\ cm^2\ to\ m^2,\\1m^2=10,000\ cm^2\\1cm^2=\frac{1}{10,000} m^2\\[/tex]

[tex]Here,\\As\ the\ area\ of\ the\ field\ in\ m^2=64,400\ m^2\\ As\ the\ area\ of\ the\ field\ in\ cm^2=64,400\ m^2*10,000=644,000,000\ cm^2[/tex]

Answer:

maybe 15 is the answer so

Answer:

x = 75°

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended on the same arc.

The angle at the centre is

360° - (285 - x)

= 360 - 285 + x

= 75 + x

Thus

x = [tex]\frac{1}{2}[/tex] (75 + x) ← multiply both sides by 2 to clear the fraction

2x = 75 + x ( subtract x from both sides )

x = 75°

Answer:

m=4

Step-by-step explanation:

To find the average rate of change, you have to calculate the change in y over x which gives you 4

Answer:

Move it two places to the right

Step-by-step explanation:

For example:

10/3.68=  2.717  

See attached snip

Answer:

f'(x) = (x + 1)/15

Step-by-step explanation:

f(x) = 15x -1,

Think of the term "f(x)" as a single variable, then solve for the term "x", manipulate the equation like how one would manipulate a literal equation, by inverse operations.

f(x) = 15x - 1

+1            +1

f(x) + 1 = 15x

/15         /15

(f(x) + 1)/15 = x

This means that (denote in the way one would denote an inverse of a function);

f'(x) = (x + 1)/15

Answer:

Awwww

Step-by-step explanation:

Thank you! I hope you know that as well :). I really needed that today so thank you

Answer:

the answer is B

Step-by-step explanation:

your welcome

Answer:

y=3x-17

Step-by-step explanation:

Answer:

1. Equatoin = y = 2/9x + 1   Slope = 2/9   Y- interpects= 1

 2.Equatoin =  y= 7/5x - 7  Slope = 7/5   Y- interpects= 7

Step-by-step explanation:

Answer:

I think it's 158

Step-by-step explanation:

Answer:

158

Step-by-step explanation:

The formula for the area of a rectangle is A = bh.

Answer:

The equivalent expression is cosec2x

option B

Step-by-step explanation:

The correct question is ;

which expression is equivalent to sec2xcot2x?

Solution

Mathematically;

sec2x = 1/cos2x

cot2x = 1/tan2x

so we have

1/cos2x * 1/tan2x

recall that the product of tan and cos is sin

from the formula;

tan = sin/cos

so we have our final answer as;

1/sin2x

Kindly recall that ;

sin = 1/cosec

so therefore;

1/sin2x = csc2x

Answer:

Green grapes are less expensive.

Step-by-step explanation:

5.08/2 = 2.54

Multiply that by 5

You get $12.70 for 5 bags.

Step-by-step explanation:

There are 40 DuBois students going on a field trip.

Each one pays their teacher $8.75 to cover admission to the museum and lunch.

Admission for the students is $120 and each one gets an equal amount to spend on lunch.

To Find :

How much will each DuBois student be able to spend on lunch.

Solution :

Amount they paid for admission :

\begin{gathered}P =\$ \dfrac{120}{40}\\\\P=\$3\end{gathered}P=$40120P=$3

Now, amount of money to spend on lunch is 8.75 -8.75−3 = $5.75 .

Hence, this is the required solution.

Answer:

Each GT student gets $3 for lunch

Step-by-step explanation:

40 GT student gave teacher $8.75 so you multiply 40 by 8.75= $350.00

To find how much they need to spend for lunch you divide $120 by 40 student because they paid for it. And you get $3!

I hope this helps!

Answer:

27/35

write all numerators above the LCD 35

20 + 7 over 35

add the numerators

The answer is in the two images below and one of them shows step-by-step on how to solve it.

Hope this helps my friend! :)

Answer:

0.08333

Step-by-step explanation:

3(1/6)^2

1/6=0.1666

1/6^2=0.02777

3*0.02777=0.08333

Answer:

1/12

Step-by-step explanation:

This is the answer because:

1) 1/6^2 = 1/36

2) 1/36 x 3 = 3/36 = 1/12 ↔ 3 ÷ 3 = 1 & 36 ÷ 3 = 12 = 1/12

Therefore, the answer is 1/12.

Hope this helps! :D

Answer:  25 ways.

Step-by-step explanation:

first we have  1,2,6. this can appear once.

4, can appear in twice.

[tex]= (3+2) * 5\\= 5*5\\= 25ways[/tex]

by not including itself, an appearing on the left side. one number can be written 25ways

Answer:

100*150=15000 calories

Step-by-step explanation:

100 times 150 is 15000 because you are multipling 2 people

I don't know if it is correct

just check and if it isn't then check some one elses work.

Answer:

i think its 81

Step-by-step explanation:

Answer:

106 sq meters

Step-by-step explanation:

Break the figure down. I have attached an image as you can see see below.

The figure consists of three rectangles

So Area of rectangle 1 is = 4 x 7 = 28 sq meters

So Area of rectangle 2 is = 10 x 5 = 50 sq meters

So Area of rectangle 3 is = Area of rectangle 1 = 28 sq meters as they are the same rectangles

So area of the whole figure is =  Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3

Area of whole figure is = 28 + 50 + 28

Area of whole figure is = 106 sq meters.

Answer: X=11

thank you!!! happy holidays!! :}

Answer:  x=11

Step-by-step explanation:  3x+42=75

Step 1: Subtract 42 from both sides.

3x+42−42=75−42

3x=33

Step 2: Divide both sides by 3.

3x

3

=

33

3

x=11

Answer:

The polynomial is ;

x^3 -2x^2 -13x - 10

Step-by-step explanation:

Given the zeros, we set them to equal zero so as to get the linear factors

Mathematically, that will be as follows;

x = -2

x + 2

x = 5

x-5

x = -1

x + 1

So we have the polynomial as;

(x + 1)(x + 2)(x-5)

= (x -5)(x^2 + 3x + 2)

= x^3+ 3x^2 + 2x -5x^2 -15x - 10

= x^3 -2x^2 -13x - 10

Answer:

A. (-2, 1)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Our solution set is where the 2 equations intersect. According the the graph, the systems intersect at point (-2, 1). Therefore, our answer must be A.

Answer is:

A.

(-2, 1)

Answer:

Ans 30 km per hour............

Answer:

75 miles- 3 gallons

Step-by-step explanation:

What is the gallons for 50 miles? It doesn't say...

Answer: