I need to know how to solve for this.

I Need To Know How To Solve For This.

Answers

Answer 1

9514 1404 393

Answer:

  use the rules of exponents

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

Applying these to the left-side expression, we can simplify it so it looks like the right side expression.

  [tex]\dfrac{(12x^5)(2x^7)}{(2x^2)^3}=\dfrac{12\cdot2x^{5+7}}{2^3x^{2\cdot3}}=\dfrac{24x^{12}}{8x^6}\\\\=3x^{12-6}=\boxed{3x^6}[/tex]


Related Questions

PLEASE HELP ASAP ITS DUE SOON!!!!

Answers

Answer:

A

Step-by-step explanation:

Look at the y axis and find the highest point.

Answer:

I believe it would be a: y=30; The maximum height...

Step-by-step explanation:

It's where the line would be, and describes exactly where the line of symmetry would be. Hope this helps :)

Alana has $80 in a savings account. The interest rate is 5% per year and is not compounded. How much interest will she earn in 1 year?

Answers

Answer:

Answer:

I = $ 1,937.50

Step-by-step explanation:

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3.875%/100 = 0.03875 per year,

then, solving our equation

I = 10000 × 0.03875 × 5 = 1937.5

I = $ 1,937.50

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 3.875% per year

for 5 years is $ 1,937.50.

I hope this is correct and hope it helps!

Three more than four times the difference of x and 2 is 36

Answers

Answer:

3+4 (x - 2) =36 x= 10.25

Step-by-step explanation:

Help please I’ll give extra points

Answers

Answer:

The perimeter of the resulting image is 13 centimeters

Step-by-step explanation:

we know that

Rotation, reflection, and translation are transformations that do not produce changes in the dimensions of the figure, while dilation is a transformation that does affect the dimensions of the figure.

In this problem, we have rotation and reflection

therefore

The perimeter of the resulting figure is the same as the original figure

Pls Help!
Aimee wants to order some DVDs from Amazon. Each DVD costs $8.49 and shipping for the entire order is $5. She has only $70 to spend. How many DVDs can she order?

Answers

Answer:

she can buy 13

please brainliest or hear

Answer:

She can order 7 DVDS

Step-by-step explanation:

8.49 x 7 = 59.43

59.43 + 5 = 64.43.

A rocket is launched from atop a 101 foot cliff with an initial velocity of 116 ft/s.
a) Substitute the values into the vertical motion formula h(t) = -16t2 + vt + h, where v represents the rocket’s initial velocity and h represents the rocket’s initial height.
t?

Answers

Answer:

ball-x2-y2-z2-r2--n-dimensions-represent-ball-hypersphere-s-q7037775 ... -feet-rectangular-field-divide-half-fence-middle-pa-q7037837 0.8 2015-06-26 ... -thrown-vertically-upward-initial-velocity-v-original-position-s-height-h-time-t- ...

Step-by-step explanation:

What is the volume of the rectangular prism? A.6/9 B.8/9 C.8/27 D. 6/27

Answers

Answer:

the corrct answer is C

Step-by-step explanation:

got it correct

PLEASE HELP ASAP!!! WILL MAKE YOU THE BRAINLYIST!!!!
Assume this dance floor is 20 feet long and 30 feet wide. How many people will fit on this dance floor if you assume each person will dance in a space that is 2 feet wide and 2 feet long?

Answers

15 ppl would fit

Bc if you find the area of the dance floor which is 20 feet times 30 feet it equals 60 feet. Then multiply how much space someone takes which is 2 feet times 2 feet equals 4 feet. Then you divide the area of the dance floor by the number for F space one person takes up which is 60÷4. You would get 15 people

Mina has 1/2 of a bag of popcorn. She eats half of her popcorn. How much popcorn does Mina have left?

b.1/8 of a bag

c.1 bag

c.1/4 of a bag

d.1/2 of a bag
no links k

Answers

Answer:

c.1/4 of a bag

cuz half of 1/2 is 1/4

Same-side interior angles always add
up to 180°. If <4 and 46 are same-side
interior angles, what is the measure of «6?
t
44=123°
46 = [?]
o
46

Answers

Answer:

Solution given;

<6+ 4=180[co interior angle]

<6=180-123

<6=57° is your answer

PLEASE HELP!! I WILL GIVE BRAINLIEST IF YOU SHOW YOUR WORK!

Answers

Answer:

Step-by-step explanation: You would add 2 to your diameter to every circle which will lead to 17.5 as your radius. Then you would use the formula A=πr2.(r^2 is the same thing as the diamiter). This then will get you a circumfrence of 962.11.

Find the ratio of the areas.

Answers

9514 1404 393

Answer:

  3 -2√2

Step-by-step explanation:

For a regular octagon of side length s, the "flat-to-flat" dimension across the center is s(1+√2). The flat-to-flat dimension of the shaded center octagon is simply s. The ratio of areas is the square of the ratio of linear dimensions, so we have ...

  small area / large area = (1/(1+√2))^2 = 1/(3+2√2)

  small area/large area = 3 -2√2

_____

The attachment shows octagons after the fashion described here. The side length of the larger one is 2 units. The numbers inside are the areas. They have the ratio shown above.

Using the order of operations, what are the steps for solving this expression? 40/8+3^2+(15-7)*2 Arrange the steps in the order in which they are performed.​

Answers

9514 1404 393

Answer:

simplify parenthesesevaluate the exponential termdivide 40/8multiply 8*2add 5+9add 14+16

Step-by-step explanation:

  40/8+3^2+(15-7)*2 . . . . given

The order of operations tells you to start by evaluating expressions in parentheses. Here, that is the subtraction of 7 from 15.

  40/8 +3^2 +8*2 . . . . (15-7) = 8

Then you evaluate exponential terms.

  40/8 +9 +8*2 . . . . . 3^2 = 9

Then perform multiplication and division, left to right. Here, division is first, then multiplication.

  5 +9 +8*2 . . . . . divide 40/8 = 5

  5 +9 +16 . . . . . . multiply 8*2 = 16

Finally, perform addition and subtraction, left to right.

  14 +16 . . . . add 5+9

  30 . . . . . . . add 14+16

Answer:

it is 8

Step-by-step explanation:

11. Saul's baseball bat has a mass of 1 kilogram His baseball has a mass
of 150 grams. What is the mass in grams of both items combined?
C. 1.150 grams
A. 1.15 grams
D. 115,000 grams
B. 115 grams

Answers

The mass of both combined would be 1150 grams or 1.150 kilograms

Find the sum of -3x^2-4x+3−3x 2−4x+3 and 2x^2-x+32x 2 −x+3.

Answers

Answer:

28x^2-10x+9

Step-by-step explanation:

28x^2-10x+9

Solve each of the following equations. Show its solution set on a number line. 5− p+6 =−8

Answers

5-|p+6|=-8

5-distance=-8= distance of them= 13

|p+6|=13

distance between/from p and -6

= -19 or 7,

So

Please Make me the brainliest pls


izllllllllllllllllllll

Answers

Answer:

32 :P

Step-by-step explanation:

10x2 is 20, 6x2 is 12, and 12+20=32

A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results SampleService Life (hours) 1495500505500 2525515505515 3470480460470 If he uses upper and lower control limits of 520 and 480 hours, on what sample(s) (if any) does service life appear to be out of control

Answers

Answer:

Sample number 3

Step-by-step explanation:

From the given information:

Sample                   Service life(hours)                Total        Mean(X)

                     1               2            3           4

1                 495         500       505       500       2000        500

2                 525         515       505       515         2060        515

3                 470         480       460       470        1880          470

Total = [tex]\text{addition \ of \ numbers \ of \ observations}[/tex]

Mean = [tex]\dfrac{\text{addition \ of \ numbers \ of \ observations}}{4}[/tex]

Thus;

[tex]UCL = \mu+x = 500 + 20 = 520\\ \\ LCL= \mu -x = 500 -20 =480[/tex]

To plot on an X_Bar chart, we have:

Sample        Mean (X)     UCL        LCL

1                      500           520        480

5                     515            520        480

6                     470            520        480

The x-Bar chart is shown in the image attached below. From the image, we realize that the average service life for sample number 3 occurs to be out of the statistical control.

The base of a solid is the region in the first quadrant between the graph of y=x2 and the x -axis for 0≤x≤1 . For the solid, each cross section perpendicular to the x -axis is a semicircle. What is the volume of the solid?

Answers

Answer:

The volume of the solid is π/40 cubic units.

Step-by-step explanation:

Please refer to the graph below.

Recall that the area of a semi-circle is given by:

[tex]\displaystyle A=\frac{1}{2}\pi r^2[/tex]

The volume of the solid will be the integral from x = 0 to x = 1 of area A. Since the diameter is given by y, then the radius is y/2. Hence, the volume of the solid is:

[tex]\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx[/tex]

Substitute:

[tex]\displaystyle V=\frac{1}{2}\pi\int_0^1\left(\frac{x^2}{2}\right)^2\, dx[/tex]

Simplify:

[tex]\displaystyle V=\frac{1}{2}\pi \int_0^1\frac{x^4}{4}\, dx[/tex]

Integrate:

[tex]\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right][/tex]

Evaluate:

[tex]\displaystyle V=\frac{\pi}{40}\left((1)^5-\left(0\right)^5\right)=\frac{\pi}{40}\text{ units}^3[/tex]

The volume of the solid is π/40 cubic units.

Volume of a solid is the measure of the 3 dimensional space it occupies. The volume of the considered solid is obtained as [tex]\dfrac{\pi}{40} \: \rm unit^3[/tex]

How to find the volume of a three dimensional region bounded by curves?

For that, we can try to find infinitesimally small 3-d region's volume, and then integrate that region over the dimensions available to get the total volume of the specified region.

We can also use the fact that continuous curves are almost linear and non-changing in infinitely zoomed region.

The given solid has base bounded by x-axis, [tex]y=x^2[/tex] and 0≤x≤1

Its three dimensional region is along the z axis, for each x, there is a semicircle perpendicular with radius being 'y'.

If we take [tex]dx[/tex]x-axis, then the curve  [tex]y=x^2[/tex]cylinder(split from height because of semicircle)) with diameter y, and height [tex]dx[/tex]volume is : [tex]V_{dx} = \dfrac{1}{2} \times \pi (\dfrac{y}{2})^2 \times dx = \dfrac{\pi (x^2)^2}{8}dx = \dfrac{\pi x^4}{8} dx[/tex]

Integrating this for 0≤x≤1, we will get the volume of the three dimensional region needed as:

[tex]V = \int_0^4V_{dx} = \int_0^1 \dfrac{\pi x^4}{8} dx = \dfrac{\pi}{8} [\dfrac{x^5}{5}]^1_0 = \dfrac{\pi 1^4}{40} = \dfrac{\pi}{40}[/tex] (in cubic units).

Thus, the volume of the considered solid is obtained as [tex]\dfrac{\pi}{40} \: \rm unit^3[/tex]

Learn more about volume of three dimensional region here:

https://brainly.com/question/338504

Determine if the ratios are equivalent: 12:16 and 72:96 *
10 points
Equivalent
Not Equivalent

Answers

Answer:

Step-by-step explanation:

12 : 16

Both have 4 in common

3 : 4

72 : 96

Both have 12 in common

6 : 8

Both have 2 in common

3 : 4

So both the ratios are equivalent

find the median of the list of data. 12, 18, 21, 25, 30, 43

Answers

Median is the middle number
=21 and 25
(21+25)/2
=23

Kevin wants to hike the Pacific Crest Trail, which is 2,653 miles long. If Kevin wants to
finish the hike in 7 months, how many miles should he hike each month?
miles

Answers

Answer:

378

Step-by-step explanation:

2,653 divided by 7

Write an equation to represent the following description. Seventeen more than eight times a number is −6.

Answers

8x + 17 = -6


(you can use a different variable to replace x if you need to :D)

Mr. Thorbes bought a new journal for his poetry. If the journal normally cost $22 but was on sale for 20% off, how much did Mr. Thorbes save?

Answers

Answer:

He would save $4.40

Step-by-step explanation:

And in total he would pay 17.60

Hey everyone it is math pleased help me it is due today

Answers

Answer:

93 in²

Step-by-step explanation:

Given triangular prism with:

a = 1.5 in, b = 2 in, c = 2.5 in, l = 15 in

Total surface area is:

A = Pl + 2B, where P is the perimeter of base, B is area of base

Considering all given values we have:

A = (1.5 + 2 + 2.5)*15 + 2*(1/2*1.5*2) = 93 in²

One half of a number , n is at most 24

Answers

Answer:

So if N is 24, then the number is 12.

Step-by-step explanation:

24 / 2 = 12

HURRY! What is the circumference of the circle below? Use 3.14 for π.

Answers

Answer:

2.14 divided by 5 x 2 is the ansewer

Step-by-step explanation:

Please help will give brainliest

Answers

Answer:

One-third of the volume

Step-by-step explanation:

Volume of cylinder = πr²h

Volume of cone = (1/3)πr²h


A spinner is shown below. What is the probability of the spinner
not landing on a striped section?

Answers

Answer:

[tex] \frac{7}{8} [/tex]

ou have decided to find a new one-bedroom apartment to live in. You want to find an apartment no further than a 30 miles from EKU. Using Zillow you take a random sample of 61 apartments. The mean rent of the sample is 640 dollars and the standard deviation 55 dollars. You want to use 95% confidence interval for the mean monthly rent for one-bedroom apartments within 30 miles of EKU to get an idea of how much on average people spend. Confirm that the sample size is large enough, calculate a 95% confidence interval and interpret the interval. (Round your answer to 2 decimal places)

Answers

Answer:

hfcfkyhgctyirkgt,ckcikkccy

Step-by-step explanation:

Other Questions
At 7am there was 4 inches of snow on the ground. After that, the snow fell at a rate of 1.5 inches per hour. Equation: ANSWER CORRECTLY AND ILL MARK YOU AS BRAINIESTSix containers have the following ounces in them: 6.2, 8.07, 9.4. 2.11, 5, 6.173 (Do not round your answer black power movement essay pls help ill give brainliest thanks if your credit card is $10,275 and you pay the full balance before the bill is due, how much will you pay in interest Tell what whole number you can substitute for x in the following list so the numbers are ordered from least to greatest. 1/x, x/5,70% The Moon only emits light at night.TrueFalse - does not emit light at all Read and choose the option with the correct question to complete the dialogue,Cristina: Hola, Fu a Ecuador el invierno pasado,PaulCristina: Arroz con pollo para cenar,O Qu comiste?O A quin viste?O Qu hiciste?O Cmo lleg? Answer each of the questions.16. What name did the people give to the ship Constitution?17. Andrew Jackson is often spoken of by what nickname?18. England's practice of forcing our sailors to serve in her navy was called what?19. The British attempted two invasions of America from the sea. The first one was at _________, and the second attempt was at ___________________________________.20. Who was the American General who followed the British into Canada and defeated them in The Battle of the Thames?21. What Indian chieftain was killed in The Battle of the Thames?22. What important building did the British burn when they captured Washington?23. After capturing Washington, the British attacked what city, which they failed to capture?24. What land did The United States gain from The War of 1812?25. The famous Battle of New Orleans was unnecessary. Why?26. On November 7, 1811, a great battle between the Indians and American soldiers took place at __________________, Indiana. The Indians, who were united by the great Indian leader, ______________________, were defeated by General ______________________________.27. Write an account of the creation of The Star Spangled Banner. Which of the following rules represents the set of ordered pairs?{(5, -1), (3, 7), (1, 15), (0, 19)}( x ) = -2 x - 5( x ) = 8 x - 23( x ) = -4 x + 19 Explain how falling demand for goods, less spending, may lead to an economic depression.- Reference to at least two causes of the Great Depression- An example of the multiplier effect Look at the following ratios and determine which one does not belong.8:6 12 to 9 16/9 4/3The ratio that does not belong isdon't send a link, I don't trust those. help please! Brainliest for correct answer When he was a young boy, Fidel Castro wrote a letter to the President of the United States. True or False? The graph below shows the populations of two species from January 2010 to June 2011. One species is native to the ecosystem, while the other is a new species that was recently introduced to the ecosystem. How will the two populations most likely compare in December of 2011? PLEASE HELP!!!Why does Mark Twain lose his jobs at the grocery store, bookstore, and drugstore? Use the following dichotomous key to identify an irregular blue flower with five petals and a fruit that is a ripened flower ovary or follicle. Dichotomous Key of Ranunculaceae #1.a. Fruit is a group of alkenes.(go to step 2) b. Fruit is a group of follicles.(go to step 4) #2.a. Petals are not present.(go to step 3) b. Petals are present.(Ranunculus) #3.a. The flower has 4 sepals.(Clematis) b. The flower has 5 sepals.(Anemone) #4.a. The flowers are regular.(Aquilegia) b. The flowers are irregular.(Delphinium) The flower is a: A. Anemone B. Clematis C. Delphinium D. Ranunculus what is the electronic structure of an atom with a proton number 11 and mass number 23 In a certain company the cost of software depends on the license type which could be Individual or Enterprise. Write a program that reads License Type wanted (just the first character of each type: I, i, E, e). Number of Users to use the software. Type Price/User Minimum number of users Individual 500$ 1 Enterprise 300$ 5 Your program should: Check if the number of users is greater than or equal than Minimum Number of Users allowed Compute the cost: (for example cost = Cost per user x Number of Users) write 4 equivalent expressions for: 64x + 80