What is the factored form of 125x6 – 8?

Answers

Answer 1

Answer:

Step-by-step explanation:

125 = 5 *5 * 5 = 5³

8 = 2 * 2 *2 = 2³

125x⁶ - 8 = 5³(x²)³ - 2³

               = (5x²)³ - 2³     { a³ - b³ = (a -b)(a² + ab + b²)

               = (5x² - 2) ([5x²]² + 5x²*2 + 2²)

                 = (5x² - 2)(25x⁴ + 10x² + 4)

Hint: (5x²)² = 5² * (x²)² = 25* x²ˣ² = 25x⁴


Related Questions

In a recent Super Bowl, a TV network predicted that 53 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 79 people who saw the commercials and found that 41 of them said they would watch one of the television shows.Suppose you have the following null and alternative hypotheses for a test you are running:H0:p=0.53H0:p=0.53Ha:p≠0.53Ha:p≠0.53Calculate the test statistic, rounded to 3 decimal places

Answers

Answer: -0.196

======================================================

Explanation:

We're conducting a one proportion Z test.

The hypothesized population proportion is p = 0.53, which is not to be confused with the p-value (unfortunately statistics textbooks seem to overuse the letter 'p'). Luckily this problem is not asking for the p-value.

The sample population proportion is

phat = x/n = 41/79 = 0.518987 approximately

The standard error (SE) is

SE = sqrt(p*(1-p)/n)

SE = sqrt(0.53*(1-0.53)/79)

SE = 0.056153 approximately

Making the test statistic to be

z = (phat - p)/(SE)

z = (0.518987 - 0.53)/0.056153

z = -0.19612487311452

z = -0.196

Which is approximate and rounded to 3 decimal places.

If the lateral surface area of a cube is 100 square inches, what is the length of an edge?

Answers

Answer:

Length of an edge=4.0825 inches

Approximately 4.1 inches

Step-by-step explanation:

Lateral surface area of a cube=100 square inches

There are 6 square surfaces on a cube.

6a^2=surface area of a cube

6a^2=100

Divide both sides by 6

a^2=100/6

a^2=16.6667

Find the square root of both sides

√a^2=√16.6667

a=√16.6667

x=4.0825 inches

Length of an edge=4.0825 inches

Answer:

2√5

Step-by-step explanation:

I got it correct on founders edtell

anyone know how to solve a functions equation such as x^2-x-x <0

Answers

Answer:

Step-by-step explanation:

[tex]x^{2} -x-x<[/tex] 0

[tex]x^{2} -2x[/tex] < 0

x^2-2x+1<1

(x-1)^2<1

-1<x-1<1

0<x<2

[tex](x-1)^{2}[/tex][tex](x-1)^{2}[/tex]

solve this it attached

Answers

[tex]\\ \sf\longmapsto \dfrac{15}{k}[/tex]

k=3

Put the value

[tex]\\ \sf\longmapsto \dfrac{15}{3}[/tex]

[tex]\\ \sf\longmapsto 5[/tex]

[tex]\large\bf{\orange{ \implies}} \tt \: \frac{15}{k} \\ [/tex]

Value of k is 3

[tex]\large\bf{\purple{ \implies}} \tt \: \cancel\frac{15}{3} \: = \: 5 \: \\ [/tex]

1. What property could you use to show that triangles ACT and ODG are congruent?

Answers

Answer:

SSS

Step-by-step explanation:

We do not know any of the angles, and we also do not know if the triangles are right triangles. Thus, SSS is the only option left. We know that all three sides are congruent anyway.

Answer:

SSS

Step-by-step explanation:

AC = OD

AT = OG

CT = DG

You have three congruent sides making ΔACT & ΔODG congruent by SSS.

You are selling lemonade for $1.50, a bag of kettle corn for $3, and a hot dog for $2.50 at a fair. Write and simplify an expression for the amount of money you receive when p people buy one of each item

Answers

Answer:

1.5p + 3p + 2.5p

Step-by-step explanation:

This expression, 1.5p + 3p + 2.5p, will represent the amount of money received when p people buy one of each food item.

Since the price of each is the coefficient for p, this will represent how much money will be gained from each food item. All 3 terms will be added together to represent the total amount of money gained from selling all 3 items.

FOR EASY BRAINLIEST ANSWER THESE QUESTIONS:

1.

2.

3.

4.

5.

Answers

Step-by-step explanation:

all answers and steps are in picture

Evaluate the expression 5^-2

Answers

Answer:

[tex]\boxed{\frac{1}{25} \text { OR } 0.04}}[/tex]

Step-by-step explanation:

[tex]5^{-2}\\\\\text {Apply Negative Exponent Rule: } a^{-b}=\frac{1}{a^b}\\\\5^{-2}=\frac{1}{5^2}=\boxed{{\frac{1}{25}} \text { OR } 0.04}[/tex]

The cosst of 4 1 /4 kg of sugar is £68 .find the coast o 1 kg​

Answers

Step-by-step explanation:

Hi, there!!

Here according to the question we must find the cost of 1 kg sugar.

Given that:

17/4 kg of sugar cost £68.

then 1 kg sugar costs,

=[tex] \frac{68}{ \frac{17}{4} } [/tex]

after reciprocal we get,

= £68×4/17

=£16

The answer would come £16.

Therefore, The cost of 1 kg sugar is £. 16.

Hope it helps....

Answer:

£ 16

Step-by-step explanation:

Cost of 4 1/4 kg sugar = £ 68

4 1/4 = 17/4

Cost of 17/4 kg of sugar = 68

Cost of 1 kg of sugar =68 ÷ (17/4)

                                  [tex]= 68* \frac{4}{17}\\\\=4*4\\[/tex]

                                  = £ 16​

A can do a piece of work in 3 days and B in 6 days. In how many days will they do it together? ​

Answers

Answer: 2 days

Step-by-step explanation:

We will add there work together

= 1/3 + 1/6

= 2/6 + 1/6 (LCM 6)

= 3/6

= 1/2

Therefore 1/2 = 2 days

Therefore it will take them 2 days

please click thanks and mark brainliest if you like :)

Which expression has the same value as 4x – 3y?
O 3y - 4x
0 -3y - 40
Submit Answer
4x + 3y)
0-4x + (-3y)
POP Teleco
o

Answers

Answer:

4x+(-3y)

Step-by-step explanation:

[tex]\\ \rm\longmapsto 4x+(-3y)[/tex]

(-)(-)=(+)(+)(-)=(-)(-)(+)=(-)(+)(+)=(+)

[tex]\\ \rm\longmapsto 4x-3y[/tex]

I need help on this question pls

Answers

56/64 = 7/8

7/8 x 120

105.

LENGTH OF ARCS. URGENT.

Answers

Since the angle of the arc is 90°, we'll plug that in for theta. We're finding the length of the arc, so we'll use the circumference formula.

find the volume of each figure. Round to the nearest tenth if necessary.​

Answers

Answer:

3166.7

Step-by-step explanation:

Volume=pi*r^2*h

=pi*12^2*7=3166.7

Answer:

3166.7

Step-by-step explanation:

Volume of a cylinder= pi × radius² × height

3.14 × 12² ×7 = 3166.7

Write each of the following in the simplest exponential form please help

Answers

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n} =a^{m+n}\\\\\\2^{3}*2^{5} = 2^{3+5} =2^{8}\\\\\\3^{2}*3^{4}=3^{2+4} = 3^{6}\\\\\\a^{2}*a^{5}=a^{2+5}=a^{7}[/tex]

For how many positive integer values of N is the expression 36/N + 2 an integer?

Answers

Answer:

Step-by-step explanation:

36=2×2×3×3

factors of 36 are 2,3,4,6,9,12,18,36

when N+2=2,N=0 (0 is neither positive nor negative.)

N+2=3,N=3-2=1

N+2=4,N=4-2=2

N+2=6,N+6-2=4

N+2=9,N=9-2=7

N+2=12

N=12-2=10

N+2=18,N=18-2=16

N+2=36,N=36-2=34

so for 7 positive integer values of N,36/(N+2)is a positive integer.

Since there are 8 factors of 36 hence 8 positive integers are possible for the expression 36/N + 2 to be an integer

The total number of positive integers needed will be equivalent to all the factors of 36 as shown;

The factors of 36 are 1, 2, 3, 6, 9, 12, 18, 36. Since there are 8 factors of 36 hence 8 positive integers are possible for the expression 36/N + 2 to be an integer

Learn more on factors here: https://brainly.com/question/25829061

Help please! <3 Simplify the expression to find the correct answer. Show your work and explain how you got that answer. [tex]\frac{1}{3}\sqrt{21}-\frac{2}{3}\sqrt{3} x \sqrt{7}[/tex] A. [tex]-\frac{1}{3}\sqrt{21}[/tex] B. [tex]\frac{2}{3}\sqrt{21}[/tex] C. [tex]\frac{2}{3}\sqrt{18×7}[/tex] D. [tex]-\frac{1}{3}\sqrt{63}x\sqrt{7}[/tex]

Answers

Answer:

-1/3 sqrt(21)

Step-by-step explanation:

1/3 sqrt(21) - 2/3 sqrt(3)  * sqrt(7)

We know sqrt(a) * sqrt(b) = sqrt(ab)

1/3 sqrt(21) - 2/3 sqrt(21)

Factor out sqrt(21)

sqrt(21) (1/3-2/3)

sqrt(21) (-1/3)

-1/3 sqrt(21)

Answer: Choice A)  [tex]-\frac{1}{3}\sqrt{21}[/tex]

=====================================================

Work Shown:

I'm guessing that the x you wrote is to signify multiplication. If so, then one way to do the steps is shown in the attached image below.

In step 2, I used the rule that sqrt(x)*sqrt(y) = sqrt(x*y).

find the extrema of the function y=cos2x

Answers

Answer:

Step-by-step explanation:

Find derivative of the function:

y' = -2·sin(2·x)

-2·sin(2·x) = 0

x1 = 0

x2 = 3.142

f(0) = 1

f(3.142) = 1

Answer

fmin = 1, fmax = 1

a cake recipe calls for 4 1/2 cups of sugar. a caterer has 50 1/2 cups of sugar on hand. how many cakes can he make?

Answers

Answer:

11 cakes. he can make 11 cakes

Answer:

11

Step-by-step explanation:

You have to do 4 x the amount you know you can such as 10.

Then you have to multiply the 1/2 by that same number

So we'd get 4x10=40 and 1/2x10=5 to get 45

Then we add 45+4 1/2 = 49 1/2

They can make 11 cakes

please solve this ASAP. I need this done but I can't figure it out

Answers

Answer:

x = 61

Step-by-step explanation:

Supplementary angles add up to 180 degrees. We can create an equation and solve for x.

(2x + 6) + (x - 9)= 180

~Combine like terms

3x - 3 = 180

~Add 3 to both sides

3x = 183

~Divide 3 to both sides

x = 61

Best of Luck!

Find the probability that a randomly selected point within the circle falls in the white area. Please, and thank you.

Answers

Answer:

About 68.2%.

Step-by-step explanation:

We want to find the probability that a randomly selected point lands in the white area.

To do so, we can find the probability that the point does not land in the white area (i.e. the red area) and then subtract it from 100%.

The circle has a radius of 4 cm. Note that the base of the triangle is the diamater, so the base measures 8 cm. The height of the triangle is the radius, so it measures 4 cm. Thus, the area of the triangle is:

[tex]\displaystyle \begin{aligned} A &= \frac{1}{2}bh \\ &= \frac{1}{2}(8)(4) \\ &= 16\text{ cm}^2\end{aligned}[/tex]

Likewise, the area of the entire circle will be:

[tex]\displaystyle \begin{aligned} A &= \pi r^2 \\ &= \pi(4)^2 \\ &=16\pi \text{ cm}^2\end{aligned}[/tex]

Then the probability that a randomly seleted point lands in the red area is:

[tex]\displaystyle P\left(\text{Red}\right) = \frac{\text{Red}}{\text{Total}} =\frac{16}{16\pi} = \frac{1}{\pi}[/tex]

The probability that the point lands in the red area or the non-red area (i.e. white area) must total 100%. In other words:

[tex]\displaystyle P\left(\text{Red}\right) + P\left(\text{White}\right) = 1[/tex]

Thus:

[tex]\displaystyle P\left(\text{White}\right) = 1 - P\left(\text{Red}\right)[/tex]

Substitute:

[tex]\displaystyle P\left(\text{White}\right) = 1 - \left(\frac{1}{\pi}\right)[/tex]

Use a calculator. Hence:

[tex]\displaystyle P\left(\text{White}\right) \approx 0.6817 = 68.2\%[/tex]

The probability that a randomly selected point lands in the white area is about 68.2%.

Just need help
the equations are above​

Answers

Answer:

6×4p=24p

15a÷3=5a

3t×8y=24ty

24ef÷12e=2f

-4fx-5px-3 =-x(4f+5p)-3

-9abc÷3a=-3bc

The interquartile range is determined by the formula _________.
A. Third quartile - First quartile
B. Third quartile + first quartile
C. First quartile - third quartile
D. Maximum - minimum

Answers

Answer:

A)

Step-by-step explanation:

The inter quartile range is determined by the formula Third quartile -  first quartile.

In a set, an inter quartile range is a measure of where the bulk of the data's lie

5-5√3/2-√11 rationalize​

Answers

Step-by-step explanation:

[tex] \frac{5 - 5 \sqrt{3} }{2 - \sqrt{11} } [/tex]

To rationalize the surd multiply both the numerator and the denominator by

2 + √11

That's

[tex] \frac{5 - 5 \sqrt{3} }{2 - \sqrt{11} } \times \frac{2 + \sqrt{11} }{2 + \sqrt{11} } [/tex]

Multiply the numerators and the denominator separately

That's

[tex] \frac{(5 - 5 \sqrt{3} )(2 + \sqrt{11} )}{(2 - \sqrt{11})(2 + \sqrt{11} ) } [/tex]

Simplify

[tex] \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5\sqrt{33} }{?} [/tex]

[tex] \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5 \sqrt{33} }{4 - 2 \sqrt{11} + 2 \sqrt{11} - 11} [/tex]

[tex] \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5 \sqrt{33}}{4 - 11} [/tex]

[tex] \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5 \sqrt{33}}{ - 7} [/tex]

We have the final answer as

[tex] - \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5 \sqrt{33}}{7} [/tex]

Hope this helps you

6) By which least number should each of the following numbers be divided to make them perfect squares? b) 45125

Answers

45125|5

9025|5

1805|5

361|19

19|19

1

[tex]45125=5^3\cdot 19^2=5^2\cdot 5\cdot19^2[/tex]

It's 5

the function h(x) is a transformation of the square root parent function

Answers

Answer:

h(x)=\sqrt(x+6)

Step-by-step explanation:

I just did the test for a p e x

PLEASE HELP 46 POINTS!!!

Answers

Answer:

Step-by-step explanation:

a) Input = -9   ⇒ x = -9

y = x² + 3

Plugin x = (-9),

y = (-9)² + 3  

  =  81 +  3                {(-9)² = -9 * (-9) = 81}

y = 84    ---> Output

y = √x - 2

  = √-9 - 2          { i² = -1}

  [tex]= \sqrt{3*3 * i^{2}}-2\\\\=3i -2[/tex]    

y = 3i - 2  ------> Output

b) Output = 0

y  = x² + 3

x² + 3 = 0

x² = -3

[tex]x = \sqrt{-3}=\sqrt{3i^{2}}\\\\x = i \sqrt{3}[/tex]

y = √x -2

0 = √x - 2

√x = 2

Take square,

[tex](\sqrt{x})^{2}=2^{2}\\\x = 4[/tex]

Sum and Product of zeroes of the quadratic polynomial 16s² - 16s + 4 respectively is:Sum and Product of zeroes of the quadratic polynomial 16s² - 16s + 4 respectively is:​

Answers

Answer:

The sum and product of zeroes are 1 and 1/4, respectively.

Step-by-step explanation:

To determine the zeroes of the quadratic polynomial, let equalize the polynomial to zero and solve in consequence:

[tex]16\cdot s^{2}-16\cdot s + 4 = 0[/tex]

By the General Quadratic Formula:

[tex]s_{1,2} = \frac{16\pm \sqrt{(-16)^{2}-4\cdot (16)\cdot (4)}}{2\cdot (16)}[/tex]

[tex]s_{1,2} = \frac{1}{2}[/tex]

Which means that zeroes are [tex]s_{1}=s_{2}=\frac{1}{2}[/tex].

The sum and product of zeroes are, respectively:

[tex]s_{1}+s_{2} =\frac{1}{2}+\frac{1}{2}[/tex]

[tex]s_{1}+s_{2} = 1[/tex]

[tex]s_{1}\cdot s_{2} = \left(\frac{1}{2} \right)^{2}[/tex]

[tex]s_{1}\cdot s_{2} = \frac{1}{4}[/tex]

The sum and product of zeroes are 1 and 1/4, respectively.

Helena builds a shed in her backyard. There is a larger section for large tools, like her lawn mower, and a smaller section for small tools. What is the length of the entire shed? What type of number is the length? List as many types of numbers for the length as you can.

Answers

Answer:

4+5[tex]\sqrt{2}[/tex] ft

Step-by-step explanation:

The type o the length of the shed will be a real number and a rational number. Then the correct option is B and E.

What is a number system?

The continuous portrayal of numerals using digits and perhaps other marks is known as a number system.

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number.

Helena builds a shed in her backyard.

There is a larger section for large tools, like her lawn mower, and a smaller section for small tools.

The type o the length of the shed will be a real number and a rational number.

Then the correct option is B and E.

The complete question is attached below.

More about the number system link is given below.

https://brainly.com/question/22046046

#SPJ2

Is 100.1 rational or irrational

Answers

Answer:

It's rational number

Step-by-step explanation:

if a number is non stop it is irrational

it a number stops as it stopped here at 1 so it's a rational number

Answer:

Rational

Step-by-step explanation:

It's a decimal with no recurring digits:)

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