What is the quotient
x24 - x18 + x12 ÷ x6

Answers

Answer 1

Answer:

Simplified expression: x^18 - x^12 + x^6

Step-by-step explanation:

1. Let us write down the question at hand, firstly: x^24 - x^18 + x^12/ x^6

2. Let us factor equation x^24 - x^18 + x^12/ x^6 ⇒ x^12(x^12 - x^6 + 1)/ x^6

3. Now apply exponential rules to get x^6 to the numerator:

x^12 - 6(x^12 - x^6 + 1)

4. Simplify this expression to be ⇒ x^6(x^12 - x^6 + 1)

5. And further simplify this expression by distributing the x^6:

Answer: x^18 - x^12 + x^6


Related Questions

the stained glass below shows bilateral symmetry. The two overlapping squares are congruent. What is the area of the window?

Answers

Answer:

  116.82 square inches

Step-by-step explanation:

The overall shape is that of a 10-inch square with four triangles attached. Each of those is an isosceles right triangle with leg lengths of 2.9 inches.

The area of the four triangles is ...

  total triangle area = 4(1/2)(2.9 in)(2.9 in) = 16.82 in²

The area of the 10-inch square is ...

  square area = (10 in)² = 100 in²

Then the total window area is ...

  window area = 16.82 in² +100 in²

  window area = 116.82 in²

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY

Answers

Answer:

E 39

Step-by-step explanation:

x+6 = 45

Subtract 6 from each side

x+6-6 = 45-6

x = 39

The initial number of bacteria in the dish was 1,150. The amount of bacteria doubles at the end of each hour. Write a function b(t) that would represent this relationship after t hours. Use this function to determine how many bacteria would be in the dish after 10 hours and write it only as a number without units.

Answers

Answer:

[tex]B(t) = 1150*(2)^{t}[/tex]

After 10 hours: 1,177,600

Step-by-step explanation:

The number of bacteria after b hours is given by the following equation:

[tex]B(t) = B(0)(1+r)^{t}[/tex]

In which B(0) is the initial number of bacteria and r is the rate that it increases.

The initial number of bacteria in the dish was 1,150. The amount of bacteria doubles at the end of each hour.

This means that [tex]B(0) = 1150, B(1) = 2*1150[/tex]

So

[tex]B(t) = B(0)(1+r)^{t}[/tex]

[tex]2*1150 = 1150(1+r)^{1}[/tex]

[tex]1 + r = 2[/tex]

[tex]r = 1[/tex]

So

[tex]B(t) = 1150*(2)^{t}[/tex]

After 10 hours:

[tex]B(10) = 1150*(2)^{10} = 1177600[/tex]

1,177,600 bacteria after 10 hours.

will mark the branliest to first one who answers

Answers

Answer:

3 1/4

Step-by-step explanation:

3/4 + (1/3 ÷1/6) - (-1/2)

Subtracting a negative is adding

3/4 + (1/3 ÷1/6) +1/2

Parentheses first

Copy dot flip

3/4 + (1/3 * 6/1) +1/2

3/4 + 2 + 1/2

Get a common denominator

3/4 + 2 + 2/4

2 + 5/4

2 + 4/4 +1/4

2+1 + 1/4

3 1/4

How many factors does 12 have

Answers

Answer:

6 if you count 1 and 12

Step-by-step explanation:

1*12

6*2

3*4

(1,12,3,4,6,2)

(12,1) (1,12) (3,4) (4,3) (6,2) (2,6)
2 negatives make a positive**
(-12,-1) (-1,-12) (-3,-4) (-4,-3) (-6,-2) (-2,6)

please help me with this question

Answers

Answer:  yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = 3

B = 5.5

C = 11

A box below needs to be painted. ​

​How many square inches of paint will be needed to cover the entire surface?



A
80/12 in2
B
61/9 in2
C
49/5 in2
D
77/55 in2

Answers

Answer: c

Step-by-step explanation:

Answer:B

Step-by-step explanation:

The number 65 is decreased to 62. What is the percentage by which the number was decreased, to the nearest tenth of a percent?

Answers

Answer:4.6

Step-by-step explanation:

Percentage decrease=(65-62)/65 x 100

Percentage decrease=3/65 x 100

Percentage decrease=(3x100)/65

Percentage decrease=300/65

percentage decrease=4.6

If the base-ten blocks shown are to be divided into 5 equal groups, what should be done first?

Answers

Answer:

2 divided

Step-by-step explanation:

Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Stacy spins the pointer 120 times and records the results. The pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6.



Write a probability model for this experiment, and use the probability model to predict how many times Stacy would spin a 6 if she spun 50 times. Give the probabilities as decimals, rounded to 2 decimal places

Answers

Answer:

Hence, Stacy will spin 6,  8.33 times out of her n = 50 attempts.

Step-by-step explanation:

Let us consider a success to get a 6. In this case, note that the probability of having a 6 in one spin is 1/6. We can consider the number of 6's in 50 spins to be a binomial random variable. Then, let X to be the number of trials we get a 6 out of 50 trials. Then, we have the following model.

We will estimate the number of times that she spins a 6 as the expected value of this random variable.

Recall that if we have X as a binomial random variable of n trials with a probability of success of p, then it's expected value is np.

Then , in this case, with n=50 and p=1/6 we expect to have  number of times of having a 6, which is 8.33.

The base of a parallelogram measures 14 cm, and the height is unknown. The area of the parallelogram is more than 42 square cm. Which graph represents all possible values for the height of the parallelogram?
A number line going from negative 1 to positive 7. An open circle is at 3. Everything to the right of the circle is shaded.
A number line going from negative 1 to positive 7. An open circle is at 3. Everything to the left of the circle is shaded.
A number line going from 24 to 32. An open circle is at 28. Everything to the right of the circle is shaded.
A number line going from 24 to 32. An open circle is at 28. Everything to the left of the circle is shaded.

Answers

Answer:

  A number line going from negative 1 to positive 7. An open circle is at 3. Everything to the right of the circle is shaded.

Step-by-step explanation:

The area of a parallelogram is given by the formula ...

  A = bh

So, we have the condition that ...

  A > 42

  bh > 42 . . . . . substitute the expression for area

  14h > 42 . . . . fill in the given base

  h > 3 . . . . . . . divide by 14

Numbers greater than 3 are to the right of 3 on the number line.

_____

The relation is > rather than ≥, so the "or equal to" case is not included. That is why the circle is open, rather than solid.

Answer:

a).

Step-by-step explanation:

The average mark of c
andidates in an aptitude test was 128.5 with a standard deviation of

8.2. Three scores extracted from the test are; 148, 102, 152. What is the average of the

extracted scores that are extreme values (outliers)?​

Answers

Answer:

The average of the extracted scores that are extreme values (outliers) = 102

Step-by-step explanation:

With the logical assumption that the population size is large enough, for a normal distribution,

68% of the data lies within 1 standard deviation of the mean.

95% of the data lies between 2 standard deviations of the mean.

99.7% of the data lies within 3 standard deviations of the mean.

So, the outliers for a normal distribution are usually beyond 3 standard deviations of the mean.

The mean = 128.5

Standard deviation = 8.2

The range of scores within 3 standard deviations of the mean is obtainable thus

(Mean ± 3standard deviations)

3 × standard deviations = 3 × 8.2 = 24.6

(128.5 ± 24.6) = (103.9, 153.1)

The 3 extracted scores are 148, 102 and 152. The only extreme value of these 3 extracted scores is 102. The two other scores are within the range of 3 standard deviations of the mean.

Hence, the average of the extracted scores that are extreme values (outliers) = 102

Hope this Helps!!!

A slot machine has 3 dials each dial has 30 positions one of which is jackpot. To win jackpot all three dials must be in jackpot position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot

Answers

Answer:

3/90

Step-by-step explanation:

1 slot  is 1/30

2 slot is 1/30

3 slot is 1/30

this gives you that 3/90 when you had them

Answer:

D)  1/(30×30×30) = 1/27000 = 0.00003 or 0.003%

Step-by-step explanation:

In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=57°, and XY = 8 feet. Find the length of YZ to the nearest tenth of a foot.

Answers

Answer:

21

Step-by-step explanation:

Answer:

6.7

Step-by-step explanation:

What is the volume of a right circular cylinder with a radius of 5 cm and a height of 12 cm?
Unit Te
4.05 Unit
EN OP
60 cm
120 cm
3007 cm
12007 cm

Answers

Answer:742 cm^3

Step-by-step explanation:

Height=h=12cm

Radius=r=5cm

π=3.14

volume of cylinder=π x r^2 x h

Volume of cylinder=π x r x r x h

Volume of cylinder=3.14 x 5 x 5 x 12

Volume of cylinder=742 cm^3

Sally wants to fill ten 8-inch tea glasses. How much tea does she need?
A) 80 ounces
B) 40 ounces
C) 80 cubic inches
D) Not enough information to answer

Answers

Answer

I believe C considering cubic mass

Answer:

D

Step-by-step explanation:

what is the sum of this arithmetic series? 586+564+542+...+212

Answers

Answer:

Basically it's asking for the sum of 212 + 216 + 220 + ..... 586

Each number is 22 more than the previous one.

Therefore the sum will be 212 + (212+22) + (212+22*2) + (212+22*3)

the amount of numbers from 212 through 586 is 18.

Therefore we will need 212 plus 212 * 17 = 3,816 *******************

We will also need all those 22's.

We must add 22 *1 plus 22*2 plus 22*3 ..... plus 22*17

Which equals 22 + 44 + 66 + 88 ... 374

Which totals 3,366 *****************

So, we total 3,816 + 3,366 which equals 7,182

Step-by-step explanation:

 

[tex]\displaystyle\bf\\Sum=586+564+542+...+212\\\\Sum=212+234+256+...+586\\\\\textbf{We calculate the number of terms (n):}\\\\n=\frac{586-212}{22}+1=\frac{374}{22}+1=17+1=18\\\\\boxed{\bf~n=18~terms}\\\\Sum=\frac{n(586+212)}{2}\\\\Sum=\frac{18\times 798}{2}\\\\Sum=9\times798\\\\\boxed{\bf~Sum=7182}[/tex]

 

Which equation has the solution x = 12?
(A
4x + 3 = 45
B
5x - 8= 68
2x - 5=29
3x +6=42

Answers

Answer:

D). last one

Step-by-step explanation:

a. 4x+3=45

4x=42

x=10.5 (incorrect)

b. 5x-8=68

5x=76

x=25.2 (incorrect)

c. 2x-5=29

2x=34

x=17 (incorrect)

d. 3x+6=42

3x=36

x=12

What’s the volume of the pic

Answers

Answer:

100[tex]\pi[/tex] cubic cm

Step-by-step explanation:

The volume of a cone can be represented by the formula [tex]\frac{1}{3} \pi r^{2} h[/tex]. Since we know the radius is 5, all we need to find id the height. To do that, we can use the Pythagorean theorem, and see that the height is equal to 12. Plugging the numbers into the formula gives us:

[tex]V =\frac{1}{3} \pi (5^{2}) (12)[/tex]

[tex]V = 100\pi[/tex]

HOPE THIS HELPED! :)

Solve (x + 6)2 = 64.

Answers

Answer:

x=26

Step-by-step explanation:

(x+6)2=64

x+6=32

x=26

Answer:

Here is the solution. Mark as brainlist please.

Find the arc length of a partial circle with a radius of 5
Will mark brainlist! pleaseeee

Answers

Answer:23.55

Step-by-step explanation:

radius=r=5

Φ=360-90

Φ=270

π=3.14

Length of arc=Φ/360 x 2 x π x r

length of arc=270/360 x 2 x 3.14 x 5

Length of arc=0.75 x 2 x 3.14 x 5

Length of arc=23.55

Answer:

23.55 units

Step-by-step explanation:

Hope this helps!

A recent survey showed 3 out of 65 Happy Meals contained a “special” prize. How many “special” prizes should a person expect to win if 130 Happy Meals were purchased?

Answers

Answer:

6

Step-by-step explanation:

The ratio would be 3:65, so to get it to ?:130 you would multiply by 2 (65•2=130). So all you have to do is do 3•2=6 to get the correct ratio which is 6:130. So that answer would be 6.

9x-3=87 what is the anwser

Answers

Answer:

x=10

Step-by-step explanation:

9x-3=87

add 3 to both sides

9x=90

divide by 9 on both sides

x=10

Answer:

x=10

Step-by-step explanation:

9x-3=87

you add 3 to both sides

9x-3(+3)=87(+3)

which equals

9x=90

90/9= 10

answer:

x =10

I hope this helped!

The median and mode of this set of data (23,13,17,11,11)

Answers

Answer:

Mode: 11

Median: 13

Answer:

(23, 13, 17, 11, 11):

Median: 13

Arithmetic mean: 15

Geometric mean: 14.380735416546

Harmonic mean: 13.848764056076

Mode: 11

Standard deviation: 4.5607017003966

Variance: 20.8

Mean Absolute Deviation: 4

Range: 12

Interquartile range: 9

Lower quartile: 11

Upper quartile: 20

Quartile deviation: 4.5

Population size:5

Help ! I don’t know if I have it correct. Can somebody check it out. I got 81/65536 which I know has to be incorrect.

Answers

Answer:  9

Work Shown:

In the numerator, we have 2^2*x^2, which is really just 4x^2. Replace x with 3 and we get 4*x^2 = 4*3^2 = 36.

For the denominator, xy^2, we get

x*y^2 = 3*2^2 = 12

So far we have,

[tex]\frac{2^2x^2}{xy^2} = \frac{4x^2}{xy^2} = \frac{36}{12} = 3\\\\\text{ or simply} \\\\\frac{2^2x^2}{xy^2} = 3[/tex]

when x = 3 and y = 2.

Square both sides to end up with...

[tex]\frac{2^2x^2}{xy^2} = 3\\\\\left(\frac{2^2x^2}{xy^2}\right)^2 = 3^2\\\\\left(\frac{2^2x^2}{xy^2}\right)^2 = 9[/tex]

Solve 20x = 10 for x. A. x = 1/2 B. x = 1.5 C. x = 2 D. x = 10

Answers

Answer:

A. 1/2

Step-by-step explanation:

20x=10

Divide 20 on both sides of the equation to get x by itself

20x=10

___.  __

20.     20

x =1/2

Answer:

A) x= 1/2

Step-by-step explanation:

20x= 10 we then divide 10 by 20 to get x= 10/20 or if we simplify x= 1/2. Thus answer choice A) is correct!

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

A. X=6 only

Step-by-step explanation:

A company makes car batteries and claims 80% of its ABC batteries are good for 70 months or longer. Assume that this claim is true. Let p ˆ be the proportion in a sample of 100 such ABC batteries. What is the probability that this sample proportion is within 0.05 of the population proportion.

Answers

Answer:

78.88% probability that this sample proportion is within 0.05 of the population proportion

Step-by-step explanation:

We need to understand the normal probability distribution and the central limit theorem to solve this question.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For proportion p in a sample of size n, we have that [tex]\mu = p, s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this question:

[tex]p = 0.8, n = 100[/tex]

So

[tex]\mu = 0.8, s = \sqrt{\frac{0.8*0.2}{100}} = 0.04[/tex]

What is the probability that this sample proportion is within 0.05 of the population proportion.

This is the pvalue of Z when X = 0.8 + 0.05 = 0.85 subtracted by the pvalue of Z when X = 0.8 - 0.05 = 0.75.

X = 0.85

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.85 - 0.8}{0.04}[/tex]

[tex]Z = 1.25[/tex]

[tex]Z = 1.25[/tex] has a pvalue of 0.8944.

X = 0.75

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.75 - 0.8}{0.04}[/tex]

[tex]Z = -1.25[/tex]

[tex]Z = -1.25[/tex] has a pvalue of 0.1056.

0.8944 - 0.1056 = 0.7888

78.88% probability that this sample proportion is within 0.05 of the population proportion

Fie triunghiul ABC isoscel cu AB=AC=3 cm daca mediatoarea laturi AC intersectat cu latura BC in M si perimetrul thriunghiului AMC=12 cm.Calculati MC

Answers

Answer:

MC = 4.5cm

Step-by-step explanation:

Question:

Let the isosceles triangle ABC with AB = AC = 3 cm. if the mediator of the sides AC intersects with the side BC in M ​​and the perimeter of the triangle AMC = 12 cm. Calculate MC.

Solution:

Find attached the diagram used in solving the question.

Given:

∆ABC is an isosceles triangle (two sides and angles are equal)

AB = BC = 3cm

Perimeter of ∆AMC = 12cm

From the diagram, M cuts AC at the the middle.

AD = CD = AC/2 = 3/2

Perimeter of Right angled ∆AMD = AM + AD + MD

= 3/2 + AM +MD

Perimeter of Right angled ∆CMD =CM + CD + MD

= 3/2 + CM +MD

Right angled ∆AMD = Right angled ∆CMD

CM = AM

Therefore ∆AMC is an isosceles triangle

CM = AM (two sides of an isosceles triangle are equal)

Let CM = AM = x

Perimeter of ∆AMC = AM + CM + AC

12 = x + x + 3

12 = 2x + 3

2x = 12-3

2x = 9

x = 9/2 = 4.5

CM = AM = 4.5cm

MC = CM = 4.5cm

please ASAP , giving BRAINLIEST if correct.

Answers

Answer:

B. -3(4x + 1) (x - 4)

Step-by-step explanation:

Out of the other answer choices, "B," is the only that factorizes correctly and ends up with the correct factorization (It already gives you the break-down of the trinomial).

However, if you're unsure about the answer, you can always take the end result: -3(4x + 1) (x - 4), and multiply it together to see if you can end up with the original trinomial: [tex]-12x^2 + 45x + 12[/tex]

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