Find the missing values of the variables

Answer:

Step-by-step explanation:

So the dilation of .75.

You want to find what each point is before the dilation.

A(-10,-14)

B(-10,14)

C(12,14)

D(12,-14)

So, we multiply these by the scale factor, 0.75.

(x,y) = (X x 0.75, y x 0.75)

A  = -10 x 0.75, -14 x 0.75

B= -10 x 0.75, 14 x 0.75

C = 12 x 0.75 , 14 x 0.75

D = 12 x 0.75 , -14 x 0.75

now, the image of the figure would be

A' ( -7.5, -10.5)

B' (-7.5, 10.5)

C' (9, 10.5)

D' (9, -10.5)

Answer:

Account balance after 17 years: $21,352.27

Step-by-step explanation:

Use the formula for amount after compound interest.

A = P(1+i)ⁿ

What the variables mean:

"A" is for amount after the time period.

"P" is principal, meaning starting money.

"i" is the interest per compounding period.

"n" is the total number of compounding periods.

"c" is the compounding periods each year. (annual = 1; monthly = 12, etc)

To calculate "i":

i = r/c

"r" is the annual interest rate in decimal form.

To calculate "n":

n = t*c

"t" is the time, usually the number of years.

Now can combine these formulas:

[tex]A = P(1+\frac{r}{c})^{t*c}[/tex]

What do we know from the problem?

t = 17 years

P = 4650

r = 9% = 0.09

c = 12

Substitute them into the formula.

[tex]A = P(1+\frac{r}{c})^{t*c}[/tex]

[tex]A = 4650(1+\frac{0.09}{12})^{17*12}[/tex]           Simplify

[tex]A = 4650(1.0075)^{204}[/tex]               Do the exponent with a calculator

[tex]A = 4650(4.59188689)[/tex]        Multiply

[tex]A = 21352.274[/tex]                  Unrounded answer

A ≈ 21352.27                 Round down because "4" is less than 5.

Therefore Ashley's account balance after 17 years will be $21,352.27.

The quotient of x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol is x+2

Step-by-step explanation:

We need to find quotient of x^2+3x+2 divided by x+1

The division is shown in figure attached.

Quotient: x+2

Remainder: 0

The quotient of x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol is x+2

Answer:

x+2

Step-by-step explanation:

Answer: 29%

Step-by-step explanation:

You need to divide the rent, 8265, by the amount of money he earns.

8265/28500 is .29

Multiply that by 100 to get it in percent form

Answer:

(1) Factor: a^n(1+a)

(2) Solve: x=0, x=2/3

Step-by-step explanation:

Steps to factor:

[tex]a^n+a^{n+1}[/tex]

~Apply rule of exponent ([tex]a^{b+c}=a^ba^c[/tex])

[tex]a^n+a^1a^n[/tex]

~Factor out the common term of [tex]a^n[/tex]

[tex]a^n(1+a)[/tex]

Steps to solve:

[tex]3x^3-x^2=x^2[/tex]

~Subtract [tex]x^2[/tex] to both sides

[tex]3x^3-x^2-x^2=x^2-x^2[/tex]

~Simplify

[tex]3x^3-2x^2=0[/tex]

~Factor left side of the equation

[tex]x^2(3x-2)=0[/tex]

~Set factors to equal zero

[tex]x^2=0[/tex] and [tex]3x-2=0[/tex]

~Simplify

[tex]x = 0[/tex] and [tex]x=\frac{2}{3}[/tex]

Best of Luck!

Answer:

Option C. X=A/4

Step-by-step explanation:

we know that

The area of the rectangular post it note is equal to

[tex]A=LW[/tex]

where

L is the length

W is the width

In this problem we have

[tex]W=4\ in\\L=X\ in[/tex]

substitute

[tex]A=4X[/tex]

solve for x

That means ----> isolate the variable x

Divide by 4 both sides

[tex]X=\frac{A}{4}[/tex]

Answer:

The points are (0,-1) and (1,1)

Step-by-step explanation:

Answer:

Line A

Step-by-step explanation:

Answer:

B. $106,000

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer:

$39.15

Step-by-step explanation:

87 x .55 = 47.85

87-47.85= 39.15

Answer:

$39.15

Step-by-step explanation:

87 x 55%

87 x 0.55 = 47.85

87 - 47.85 = 39.15

Answer:

Step-by-step explanation:

40 per month + 0.20 per text(t)

40 + 0.2t....no parenthesis needed

Answer:

did it

Step-by-step explanation:

Answer:

The value of r is 1/3

Step-by-step explanation:

Let's solve for r in the equation:

16 ^(3-3r) = 256

16 ^(3-3r) = 16²

3 - 3r = 2

-3r = 2 - 3

-3r = -1

r = -1/-3

r = 1/3

Let's prove r = 1/3 is correct:

16 ^(3-3r) = 256

16 ^ (3 - (3 * 1/3)) = 256

16 ^ (3 - 1) = 256

16 ² = 256

16 * 16 = 356

We proved that r = 1/3 is correct

Answer:

-1, 8, 17, 26

Step-by-step explanation:

35 - (-10) = 45

45/5 = 9

-10 + 9 = -1

-1 + 9 = 8

8 + 9 = 17

17 + 9 = 26

Final answer:

The four arithmetic means between -10 and 35 are -1, 8, 17, and 26.

Explanation:

To find the four arithmetic means between -10 and 35, we want to divide the interval evenly into six equal parts (because there will be five intervals with four means and two endpoints). First, calculate the total interval size:

35 - (-10) = 45

Then divide this interval by the total number of segments (which is one more than the number of means):

45 / (4 + 1) = 9

This gives us the common difference. Starting from -10 and adding the common difference of 9 each time, the four arithmetic means would be:

Thus, the four arithmetic means between -10 and 35 are -1, 8, 17, and 26.

Answer:

She will exercise for 6 hours in four weeks.

Step-by-step explanation:

Summer exercises for 0.5 hour on Monday, 0.5 hour on Wednesday, and 0.5 hour on Friday. There are 3 days where she exercises for 0.5 hour.

3 days X 0.5h = 1.5h each week

For four weeks, multiply the hours each week by 4.

1.5h X 4 weeks = 6h

Therefore Summer will exercise for 6 hours over the course of 4 weeks.

Answer:

6 hours

Step-by-step explanation:

We know that Summer exercises for 0.5 (Or a half) hour every day, three days a week (Monday, Wednesday, Friday). We need to found out how many hours she exercises in 4 weeks.

To solve this we first find out how many hours she exercises in one week. To do so, we set up an equation like this:

(Time exercising) x (# of days exercising) = (Hours spent exercising in one week)

Plug in the given numbers:

0.5 x 3 = 1.5 hours

If we know she exercises 1.5 (Or one and a half) hours in 1 week, we multiply this number by 4 to find out how many hours she exercises in 4 weeks. This can be shown in an equation like this:

1.5 x 4 = 6

So Summer will exercise for 6 hours in 4 weeks.

Answer:

What am i supposed to answer?

Answer:

you have to multiply to get the answer because it's an area not premiter. premiter you at all at once

Answer:

Total area= [tex]28 +25.12= 53.12[/tex] square feet

Step-by-step explanation:

The total area of the 2-D figure= Area of triangle in the fig. + Area of the semicircle in it.

Area of the triangle in the figure [tex]=\frac{1}{2}*Base*Altitude \\\\=\frac{1}{2}*8*7\\\\ =\frac{56}{2} \\\\=28[/tex] square feet

Area of the semicircle=

                                              [tex]\frac{\pi r^2}{2} \\\\\frac{3.14*4*4}{2}\\\\ 3.14*8\\\\25.12square feet[/tex]

Total area= [tex]28 +25.12= 53.12[/tex] square feet

Answer:

h = 96/8

Step-by-step explanation:

In this image, we're being shown a rectangle. To solve for a rectangle, you use:

Area = base x height

We know the base and area already, so we can plug those values in. It will then look like this:

96 ft = 8ft x height

In order to make it into "h = _____" we need to isolate the height. We can use inverse operation for that. We can divide 8 on both sides. This will then give us the equation:

h = 96/8

Hence, the answer to this is "h = 96/8". If you have any further concerns or questions, feel free to leave a comment below! Have a great day!!! :)

Answer:

20%

Step-by-step explanation:

30-24=6

6/30=.2=20%

Answer:

Decrease by 6

Step-by-step explanation:

20%

Answer:

y=5x-10

Step-by-step explanation:

y+10=5x

y=5x-10

Question:

Given tan B =7/24, find the sin B

Answer:

Option A

[tex]sin\ B = \frac{7}{25}[/tex]

Solution:

Given that,

[tex]tan\ B = \frac{7}{24}[/tex]

We have to find sin B

We know that by trignometric ratios,

[tex]tan = \frac{opposite}{adjacent}[/tex]

From given,

[tex]tan\ B = \frac{7}{24}[/tex]

On comparing we get,

Opposite = 7

Adjacent = 24

We can find the hypotenuse

[tex]hypotenuse^2 = opposite^2 + adjacent^2\\\\hypotenuse^2 = 7^2 + 24^2\\\\hypotenuse^2 = 49 + 576\\\\hypotenuse^2 = 625\\\\Take\ square\ root\ on\ both\ sides\\\\hypotenuse = 25[/tex]

Thus Sin B is given as:

[tex]sin\ B = \frac{opposite}{hypotenuse}\\\\sin\ B = \frac{7}{25}[/tex]

Thus, sin B is [tex]\frac{7}{25}[/tex]

Answer:

16272

Step-by-step explanation:

Answer:

16272

Step-by-step explanation:

the answer would be 16272.

and if u need help with anything else you can easily use me :) jkjk use a calculator  

Answer:

Width = 16cm length = 24cm; Draw up to larger dimensions.

Step-by-step explanation:

Scale factor of 4 means the new shape is 4 times the size of the original.

Answer:

595 will be approved.

Step-by-step explanation:

Multiply 648 by 0.918:  the result is 594.9, which should be rounded up to 595.

68 m/s was her average speed

Amy's average speed was 68 mph (miles per hour)

From the question, we are to determine what Amy's average speed was

Average speed can be calculated by using the formula,

[tex]Average\ speed =\frac{Distance}{Time}[/tex]

From the given information,

Distance covered = 204 miles

Time = 3 hours

Then

Average speed = [tex]\frac{204}{3}[/tex]

Average speed = 68 mph (miles per hour)

Hence, Amy's average speed was 68 mph (miles per hour)

Learn more on Calculating average speed here: https://brainly.com/question/6504879

Answer:

the answer is x^5

Step-by-step explanation:

add the exponents

The required expression equal to x².x³ is [tex]x^5[/tex].

Given that,
To determine the expression is equivalent to  x².x³

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The given expression,
= x².x³
There is a property in the product if the base of the exponents is the same then their power gets added.
So, the simplification
= [tex]x^{2+3}[/tex]
= [tex]x^5[/tex]

Thus, the required expression equal to x².x³ is [tex]x^5[/tex].

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

1

Step-by-step explanation:

Answer:

[tex](ab)(x)[/tex]

Step-by-step explanation:

The complete question in the attached figure

we have

[tex]a(x)=2x-4\\b(x)=x+2[/tex]

we know that

(ab)(x) is equal to the product of a(x) and b(x)

so

[tex](ab)(x)=(2x-4)(x+2)[/tex]

Applying distributive property

[tex](ab)(x)=2x(x)+2x(2)-4(x)-4(2)[/tex]

[tex](ab)(x)=2x^2+4x-4x-8[/tex]

[tex](ab)(x)=2x^2-8[/tex]

This is a quadratic equation

The other expressions not produce a quadratic equation