Choose the correct simplification of (9xy^5)^2.

A) 18x^2y^10
B) 18x^2y^7
C) 81x^2y^7
D) 81x^2y^10​

Answers

Answer 1

Answer:

D) 81x²y¹⁰

Step-by-step explanation:

(9xy⁵)²

Because all of 9xy⁵ are in the parentheses, each component is raised to the 2nd degree.

(9)² = 81

(x)² = x²

(y⁵)² = y¹⁰ -- When you raise an exponent to another exponent, you multiply the exponents.

Now combine the components.

D) 81x²y¹⁰


Related Questions

A number increased by 20% becomes 227. what is the number?

Answers

Answer: I think it's 272.4

Step-by-step explanation: hope it helps thx for the free points :)

How do i solve this? and what’s the answer?

Answers

Answer:

x = 18

Step-by-step explanation:

The line joining 2 midpoints of the non parallel sides of a trapezoid is 1/2 the sum of the two parallel lines.

Put in much simpler language XY = 1/2 (BC + AD)

4x - 2 = 1/2 (6x + 1 + x)                         Combine the right

4x - 2 = 1/2 (7x + 1)                               Multiply by 2

8x - 4 = 7x + 1                                       Add 4 to both sides

8x = 7x + 5                                           Subtract 7x

x = 5

But what you want is the length of XY

XY = 4x - 2 = 4*5 - 2 = 18

Sorry I noticed too late that I used x for s. The answer would still be 18.

the answer would be x = 18

A highway inspector needs an estimate of the mean weight of trucks crossing a bridge on the interstate highway system. she selects a random sample of 49 trucks and finds a mean of 15.8 tons with a sample standard deviation of 3.85 tons. the 90 percent confidence interval for the population mean is:

Answers

Answer:

14.90 to 16.70 tons

Step-by-step explanation:

We are given;

Sample size; n = 49

Mean; x¯ = 15.8

Sample standard deviation; s = 3.85

At 90% Confidence interval, z = 1.645

Formula for confidence interval is;

CI = x¯ ± z(s/√n)

Thus;

CI = 15.8 ± 1.645(3.85/√49)

CI = 15.8 ± 0.90

CI = 14.90 to 16.70 tons

14) What is the vertex form y = 3x2 - 12x + 17?
A) y = 3(x - 2)2 +5
B) y = 3(x - 2)2 + 17
C) y = 3(x - 2)2 + 11
D) y = 3(x + 2)2 + 5
I

Answers

Answer:

the vertex is 14yx

Step-by-step explanation:

2+2-3+70-32+454-10-40=

Answers

Answer:

443

Step-by-step explanation:

Answer:

449

Step-by-step explanation:

If a number is reduced by 40% and it becomes 192, what was the original price?

Answers

Bejxjdnebdjfbexisne fjzizndndnxnxnx

Answer:

320

Step-by-step explanation:

216. Determine the volume of a 75-inch cube.
a. 22.5 cu in
b. 166 cu in
c. 216 cu in
d. 421.88 cu in

Answers

Answer:

c

Step-by-step explanation:

because you have to know how many 8nches is a cube

please send answers!!

Answers

Answer:

Please refer to the above attachment...

(sorry for bad handwriting:P)...

Step-by-step explanation:

I hope it helps...:)

$0.25 per bottle water

$0.40 per bottle water

$0.50 per bottle water

6-pack

12-pack

24-pack

Answers

Answer:

24-pack

Step-by-step explanation:

you are paying less per bottle than the other 2 packs.

f(x) = 7x² + 21x - 70
factor

Answers

Answer:

Step-by-step explanation:

f(x)=7(x^2+3x-10)=7(x+2)(x-5)

London's family took a road trip to the Grand Canyon. London fell asleep 61% of the way through the trip. If London fell asleep after they had travelled 305 miles, what was the total length of the trip?

Answers

Answer: 782.05 miles.

Step-by-step explanation: Percentage is a ratio expressed as fraction of 100, in other words, 61% is represented as [tex]\frac{61}{100}[/tex] or 0.61.

London slept 61% of the journey, so it means he was awake for 39% of the journey. Now the total trip is [tex]\frac{100}{100}[/tex] or 1, so the relationship will be

0.39 ---- 305 miles

   1   ----- x

[tex]x=\frac{305}{0.39}[/tex]

x = 782.05

The total length of the trip was 782.05 miles.

Answer: 500

Step-by-step explanation:

What is Y= -3/10x-8 written in standard form?

Answers

Answer: 3x+10y=−80
Hope this helps!

Zoey's dog has a water bowl with a diameter of 6 inches. Sam's
dog has a water bowl with a diameter of 10 inches. What is the
approximate difference in the circumference (distance around)
ut of the two water bowls?

Answers

Answer:

12.56 inches

Step-by-step explanation:

Circumference: C = 2*pi*r

I will be using 3.14 in place of pi

Divide the diameters by 2, so 3 for Zoey and 5 for Sam

Multiply (2*3.14*3) and (2*3.14*5)

For Zoey you get 18.84 and for Sam you get 31.4

31.4-18.84= 12.56 in difference

PLEASE HELP BEST ANSWER GETS BRAINLISEST!!!

Answers

Answer:

80?

Step-by-step explanation:

From the list of these numbers 3,5,7,12,15,18,20
What is a factor of 10

Answers

The factors of 10 are 1, 2, 5, and 10. You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10.



An airplane is currently flying at an altitude of 37,000 feet. The airplane is scheduled to land at an airport 100 miles

away. Find the average angle at which the airplane must descend for landing. Round your answer to the nearest

degree.

Answers

Answer:

4degrees

Step-by-step explanation:

Given the following

Height of the airplane = 37000feet

distance covered on landing = 100miles = 100(5280)

distance covered on landing  = 528,000feet

Using the SOH CAH TOA

sin theta = opposite/hyp

sin theta = 37000/528000

sin theta = 37/528

theta = arcsin (37/528)

theta = 4 degrees

Hence average angle at which the airplane must descend for landing is 4degrees

How does the graph of g(x)=(x-1)^3+5 compare to the parent function f(x)=x^3

Answers

Answer:

it is one to the right and 5 up compared to its parent function.

Step-by-step explanation:

the (x-1)3 means that the graph is shifted one to the right and the + 5 means that you have to shift the garph 5 up also.

i need your help hurry quick

Answers

Answer:

B. The value of n + m is positive.

Step-by-step explanation:

n is -0.5

m is 2.5

2.5 + (-0.5) = 2.5 - 0.5 = 2

2 is positive

Answer:this aint a answer but

Step-by-step explanation: your on the same quiz as me

what is 8.45 rounded to the nearest tenth? A 8.0 B 8.4 C 8.5 or D 9.5

Answers

Answer:

C

Step-by-step explanation:

Since its a 5, you round up. if it is 5 or above, you round the number upwards, when 4 or below, is downwards.

Answer:

C.8.5

Step-by-step explanation:

Please help me solve this!!


Bobby rode his skateboard 4 miles 30 rode her bicycle 10 miles in minutes. Who traveled at a greater average speed? Define an appropriate unit of speed and provide mathematical justification for your answer.

Answers

Answer:

Abelito had the greater average speed

Step-by-step explanation:

Given

Bobby:

[tex]Distance =4\ miles[/tex]

[tex]Time = 30\ minutes[/tex]

Abelito

[tex]Distance = 10\ miles[/tex]

[tex]Time = 48\ minutes[/tex]

Required:

Who had a greater average speed

Average speed (S) is calculated as:

[tex]S = \frac{Distance}{Time}[/tex]

We will make use of mph (miles per hour) as the unit of speed.

For Bobby:

[tex]S_B = \frac{4\ miles}{30\ minutes}[/tex]

Convert minute to hour

[tex]S_B = \frac{4\ miles}{0.5\ hr}[/tex]

[tex]S_B = 8mph[/tex]

For Abelito

[tex]S_A = \frac{10\ miles}{48\ minutes}[/tex]

Convert minute to hour

[tex]S_A = \frac{10\ miles}{0.8\ hr}[/tex]

[tex]S_A = 12.5mph[/tex]

By comparison: 12.5mph > 8mph

Hence: Abelito had the greater average speed

In what quadrant are the eyeglasses

Answers

Answer:

3rd Quadrant

Step-by-step explanation:

Hope the above solution will help you

The eyeglasses are in quadrant 4. The chart goes to the right, the first quadrant begins at the top left, goes to the top right (2nd quadrant) and then goes down to the bottom right (3rd quadrant) and then goes left to the bottom left (4th quadrant)

a) Rationalise the denominator of a,b,c

Answers

Answer:

See below

Step-by-step explanation:

a)

[tex] \frac{20}{ \sqrt{10} } = \frac{20 \sqrt{10} }{ \sqrt{10} \times \sqrt{10} } = \frac{20 \sqrt{10} }{10} = 2 \sqrt{10} [/tex]

b)

[tex] \frac{ \sqrt{2} }{2 \sqrt{5} - 1 } \\ \\ = \frac{ \sqrt{2} \times (2 \sqrt{5} + 1 )}{(2 \sqrt{5} - 1)(2 \sqrt{5} + 1) } \\ \\ = \frac{ \sqrt{2} \times 2 \sqrt{5} + \sqrt{2} \times 1 }{(2 \sqrt{5} ) ^{2} - (1)^{2}} \\ \\ = \frac{ 2 \sqrt{10} + \sqrt{2}}{20 - 1} \\ \\ = \frac{ 2 \sqrt{10} + \sqrt{2}}{19} \\ \\ equating \: it \: with \: \\ \frac{ a + \sqrt{b}}{c} \\ \\ a = 2 \sqrt{10} \\ \\ b = 2 \\ \\ c = 19[/tex]

Answer:

The above answer is correct

A plate moves south at a rate of 2 cm/year. How many meters south from its original location will the plate be in 4,000 years?
A) 8,000 meters south
B) 4,000 meters south
C) 200 meters south
D) 80 meters south​

Answers

Answer:

I hope I can help

welcome po

4. David hikes 2 1/4 miles in 1/2 hour. At this rate how long will it take him to walk 1 mile? If he walks for 1 hour,
how far will he have gone? yes

Answers

Answer: 4.50 miles.

Step-by-step explanation:

David hikes 2 1/4 miles in 1/2 hour. To make it easier, we can turn the fractions into decimals.

David hikes 2.25 miles in 0.5 miles.

The ratio of miles hiked to the hours hiked is 2.25 : 0.5. For every 0.5 hours, David hikes 2.25 miles.

To find how many miles David walks in 1 hour, we should multiply the original ratio by 2. 0.5 x 2 = 1, and we need to find how far David walks in 1 hour.

If David hikes 2.25 miles in half an hour, then he will walk 4.50 miles in 1 hour. So the answer is that David will walk 4.50 miles in 1 hour.

calculate the scale factor will mark branylis​

Answers

Answer:

I think it is D. K= 11/2

I think d.k= 11/2 maybe

graph the line with the slope 3 passing through the point (2,-1)​

Answers

Answer:

I can't draw at the moment but I'll try to teach how as best as I could.

Draw the Cartesian plane (x and y-axis)Locate the point (2, -1). To do this, go to x=2 then go down by 1 unit. Plot it or mark this point by a dot.Then from this dot, go 3 units to the right. After that, go up by 1 unit and mark that with a dot. By this time, you now have 2 dots.Connect them and that's it.

5 x (h + 3) for h = 7
Evaluate the expression

Answers

Answer:

ummm im so sorry but i forgot while answering

Step-by-step explanation:

opps

The answer is 50x
Your welcome

Explain answer !!

( WILL GIVE BRAINLEST)

Answers

Larissa: y = 250 - 25x

Chucho: y = 30 +30x

4 weeks

Step-by-step explanation: It says it in the problem, and you can see they cross at 4 weeks

Answer:

Larissa: y = 250 - 25x

Chucho: y = 30 +30x

4 weeks

Step-by-step explanation:

Merle opened a new savings account she deposited 40,000 at 10% compounded semiannually at the start of the fourth year merle deposits an additional 20,000 that is also compounded semiannually at 10% at the end od six years the balance in merle account is

Answers

happy first question!!!!

What is the % difference between $88 and $122?

Answers

Answer:

Maths

Step-by-step explanation:

The diffrence between $88 and $122 is $88+$34=$128 and $128--$34=88

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