Find the value of each variable.

Answer:

[tex]27a^6b^8 + 63a^5b^8 - 25a^8b^8[/tex]

Step-by-step explanation:

Given

[tex]9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2[/tex]

Required

Simplify

[tex]9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2[/tex]

Open both brackets

[tex]9a^3b^6*3a^3b^2+9a^3b^6*7a^2b^2-5a^4b^4*5a^4b^4[/tex]

This gives

[tex]27a^6b^8 + 63a^5b^8 - 25a^8b^8[/tex]

Answer:

47 mph.

Step-by-step explanation:

The unit rate would be in mph.

Divide 423 miles with 9 hours:

423/9 = 47

47 mph, or miles per hour, is your answer.

~

Given that: Train travels 432 miles in every 4 hours

To Find: Unit rate of the train

⠀⠀⠀⠀⠀⠀__________________

Solution:-

we can find the unit rate of train by divide the distance and time.

⠀⠀

[tex]:\implies\sf{speed(v)} \: = \dfrac{distance(s)}{time(t)} [/tex]

[tex]:\implies\sf Speed\; (v) = \dfrac{423}{9}[/tex]

[tex]:\implies\sf Speed \: (v) = 47 \;mph\;(miles\;per\;hour)[/tex]

⠀⠀⠀⠀

[tex]\therefore \underline {\sf{Hence \: , \: \pmb{47mph} \: is \: the \: required \: answer}}[/tex]

Answer:

a + [tex]11^{3}[/tex]

or

a + 1331

Step-by-step explanation:

The sum of 11 cubed and a

[tex]11^{3}[/tex] + a

or

1331 + a

Answer:

-152 feet in relation to sea level.

Step-by-step explanation:

If it descends 20 feet per minute, you just multiply the distance by the minutes. So 20x7 and you will get 140. You can't forget that it's already -12 below sea level, so it's 12 feet deeper. It's -152 feet in relation to sea level.

Answer:

Where's the expression?

Step-by-step explanation:

Answer:

What is your initial value? 2000

Does this function represent exponential growth or exponential decay? Exponential growth

What is the rate of growth or rate of decay? 5%

Answer:

C

Step-by-step explanation:

5 - 1 = 4

5 - 5 = 0

5 - -1 = 6

I hope this helps but the answer most likely is C

Answer:

I think it's letter C ..........

Answer:

80=X

95=X

55=X

30=X

you simply add the numbers you have together then subtract that from 180

Answer:

6:21

Step-by-step explanation:

2:7        6/2 = 3  

6:21       7*3 = 21

Answer:

y = 4x - 9

Step-by-step explanation:

y = 4x + 2

the the slope m is 4

the new line which paraller to the first one will have a slope 4 too

M = 4

then, the new slope-intercept form which pass through (x1,y1), in this case (5,-4) is

y - y1 = M(x - x1)

y - (-4) = 4(x - 5)

y + 4 = 4x - 5

y = 4x - 5 - 4

y = 4x - 9

Answer:

Step-by-step explanation:

FYI only

Slopes of parallel lines are the same and y-intercepts are different

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

y - [tex]y_{1}[/tex] = 4( x - [tex]x_{1}[/tex] )

Answer:

hey,i can answer the question but i cant really see the coordinates

Step-by-step explanation:

Answer:

B. 2800 sq mm

Step-by-step explanation:

Given the following data;

Length = 80 mm

Width = 70 mm

Area of rectangle is given by the formula;

Area of rectangle = length * width

Substituting into the formula, we have;

Area of rectangle = 80 * 70

Area of rectangle = 5600 mm²

Since the paper (area of rectangle) was halved, we would divide by 2;

Area of each half = 5600/2

Area of each half = 2800 sq mm.

Answer:

Step-by-step explanation:

y = opposite

15 = hypotenuse

θ = 57°

therefore we use sin

sinθ = opposite/hypotenuse

sin57° = y/15

y = 15sin(57°)

y = 12,58 units

_________________

#StayPositive - kexcvi

Step-by-step explanation:

As the problem said, you need to submit a picture of your own work, but I can help nevertheless.

Blank 1:

[tex]\tan 70=\frac{x}{300}\\x=300\tan70 \approx \boxed{824.24}[/tex]

Blank 2:

[tex]\tan 53=\frac{x}{300}\\x=300\tan53 \approx \boxed{398.11}[/tex]

Blank 3:

[tex]300\tan(70)-300\tan(53)\approx\boxed{426.13}[/tex]

Answer:

-88

Step-by-step explanation:

(-3 + 4) x 66 + -19 x 8 - 2

According to PEMDAS (or GEMDAS), you start with the parenthesis. So you do the equation in the parenthesis.

-3+4= 1

Now you replace it with your answer.

1 x 66 + -19 x 8 - 2

You next do multiplication.

1*66=66

66+ -19 x 8 -2

Multiplication again

-19*8=-152

66 + -152 - 2

Now there is only addition and subtraction left so you solve left to right.

66 + -152= -86

-86-2=-88

The answer is -88

Answer:

A; x< 5

Step-by-step explanation:

A simple way to remember the difference between greater than or less than is picturing the symbol as an alligator, the mouth of the alligator, the open end, eats the bigger number. The line under the greater than/ less than symbol means "or equal to". An open circle on a number line means that it's NOT "or equal to", so the answer isn't B or D. On the number line, it shows what x could equal. The arrow falls on 0, I'll use 0 as an example. Is 0 less than 5? Yes. If x could equal 0, that means that x is less than 5.

Answer:

907.46 ft²

Step-by-step explanation:

Area of a full circle = πr²

Area of a quarter circle would therefore = ¼(πr²)

Where,

r = 34 ft

π = 3.14

Area of quarter circle = ¼(3.14 × 34²) = ¼(3,629.84)

Area of quarter circle = 907.46 ft²

Answer:

y < 1

Step-by-step explanation:

the value of y in the whole part is less than or equal to 1.

Answer:

67.5 feet

Step-by-step explanation:

If 1 inch = 9 feet, and the model is 7.5 inches,

you just need to do 7.5 • 9 = 67.5 feet.

OR

7 • 9 = 63 and 1/2 (or .5) • 9 = 4.5

63 + 4.5 = 67.5

*I'm pretty sure it says 1 inch = 9 feet and I'm also basing this off the fact that your work for question 2 is showing the same ratio of 1 inch = 9 feet

Answer:

[tex]2\sqrt{51}[/tex]

Step-by-step explanation:

first, you have to look pythagoras theorem (in picture)

then; x² + 14² = 20²

x² + 196 = 400

x² = 204

x = [tex]\sqrt{204}[/tex] = [tex]2\sqrt{51}[/tex]

Hope this helps ^-^

The length of the unknown side ( x )

We'll have to use pythagoras Theorem.

[tex]\huge\boxed{\sf{Formula: {a}^{2} + {b}^{2} = {c}^{2} }}[/tex]

In this question hypotenuse is given so we'll have to subtract.

Let the unknown be "x"

[tex] {c}^{2} = {a}^{2} - {b}^{2} [/tex]

[tex] {x}^{2} = {20}^{2} - {14}^{2} [/tex]

[tex]x = 204[/tex]

[tex] {x}^{2} = \sqrt{204} [/tex]

[tex]x = 14.28285686[/tex]

[tex]\large\boxed{\sf{x = 14.3 \: (nearest \: tenth)}}[/tex]

Hence, the unknown side of the given triangle is 14.3

Answer:

2 lb

Step-by-step explanation:

1lb = 16 pounds.

Answer:

I'm not completely sure, but I hope this helps.

Answer:

change the date of 4images and the giant is the quiz on my essay

Step-by-step explanation:

you wanna play 3rd party or something else do it was 4th day

Answer: $60

Step-by-step explanation:

Answer:

C, 0.15

0.15 is 15/100, which is 15 percent.

multiply 500 times 0.15 gives you 15 percent of 500.

Answer: 8

*

(

c

*

c

*

c

)

Step-by-step explanation:

Answer:

6.25 years

Step-by-step explanation:

Simple interest = principal x time x interest rate

simple interest = $4,000 - $2,500 = $1,500

1500 = $4,000 x 0.06 x n

1500 = 240n

divide both sides by 240

n = 6.25 years