Use the Remainder Theorem to find the remainder: (16x^4 – 8x^3 – 4x + 1) ÷ (2x + 1)

3
1
-1
5

Answer:

a . x = 512

b. x^1/2•y•z^5/4

Step-by-step explanation:

a. Here in this question, we want to find the value of x, given the equation.

x^2/3 = 64

Now, to find the value of x, we shall raising both powers to the reciprocal of 2/3

When we talk of reciprocal, we mean a number such that when we multiply this number by that particular number, our result is 1.

So for 2/3, the reciprocal is 3/2

So let’s raise the power of both sides to 3/2

Thus;

x^2/3(3/2) = 64^3/2

Kindly recall that 2/3(3/2) = 2/3 * 3/2 = 1

Thus ;

x = 64^3/2

So what this mean is that we will find the square root of 64 and cube our answer.

Thus;

x = {√(64)}^3

x = 8^3

x = 512

b. According to laws of indices, kindly note that

b√(a) = a^1/b

Thus;

4 √(x^2•y^4•z^5) = (x^2•y^4•z^5)^1/4

So what we do is to multiply each of the powers in the bracket by 1/4

Thus, we have the following;

x^2(1/4) • y^4(1/4) • z^5(1/4)

= x^1/2•y•z^5/4

where • simply refers to multiplication between the terms

Answer:

you have to put them in order

Answer:

I think 705.79 if I did it right

Step-by-step explanation:

500(1+.09/1)^4 = 705.79

Answer:

[tex] SA = 24.73~cm^3 [/tex]

Step-by-step explanation:

[tex] SA = 2\pi r^2 + 2\pi r h [/tex]

r = d/2 = (1.5 cm)/2 = 0.75 cm

[tex] SA = 2(3.14)(0.75~cm)^2 + 2(3.14)(0.75~cm)(4.5~cm) [/tex]

[tex] SA = 24.73~cm^3 [/tex]

Answer:

24.7

Step-by-step explanation:

took this exam and got it right

Answer:

elimination method

x+2y=4     1

5x-2y=8     2

1+2

6x=12

x=2

plug into x+2y=4

2+2y=4

2y=4-2

2y=2

y=1

(2,1)

so graph 1

Answer:

b

Step-by-step explanation:

In general

Given

y = f(x) then y = f(Cx) is a horizontal stretch/ compression in the x- direction

• If C > 1 then compression

• If 0 < C < 1 then stretch

Consider corresponding points on the 2 graphs

(2, 2 ) → (4, 2 )

(4, - 2 ) → (8, - 2 )

Indicating a stretch in the x- direction.

y = f([tex]\frac{x}{2}[/tex] ) with C = [tex]\frac{1}{2}[/tex] , that is 0 < C < 1

stretches the graph in the x- direction by a factor of 2

Thus

y = f([tex]\frac{x}{2}[/tex] ) → b

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▹ Answer

2 5/6

▹ Step-by-Step Explanation

[tex]\frac{17}{6} \\\\6 * 2 = 12\\12 + 5 = 17\\\\2\frac{5}{6}[/tex]

Hope this helps!

CloutAnswers ❁

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Answer:

2 5/6

Step-by-step explanation:

17/6

6 goes into 17 2 times  

2*6 = 12

17-12 = 5  

There is a remainder of 5  this goes over the denominator

2 5/6

Answer:

1 3/4 cups is between the 13th and 15th lines from the bottom.

Step-by-step explanation:

The bottom of the cup has no line and corresponds to 0 eights.

1st line up: 1/8 cup

2nd line up: 2/8 cup    this is also called 1/4 cup

3rd line up: 3/8 cup

4th line up: 4/8 cup     this is also called 1/2 cup

5th line up: 5/8 cup

6th line up: 6/8 cup     this is also called 3/4 cup

7th line up: 7/8 cup

8th line up: 8/8 cup     this is also called 1 cup

9th line up: 9/8 cup

10th line up: 10/8 cup    this is also called 1 1/4 cup

11th line up: 1 3/8 cup

12th line up: 1 4/8 cup     this is also called 1 1/2 cup

13th line up: 1 5/8 cup

14th line up: 1 6/8 cup    this is also called 1 3/4 cup

15th line up: 1 7/8 cup

16th line up: 1 8/8 cup    this is also called 2 cups

1 3/4 cups is between the 13th and 15th lines from the bottom.

Using the coefficient concept, it is found that the expression in which the coefficient of the term x is 1 is:

[tex]2x^2 + x - 9[/tex]

-----------------------------------------

In a polynomial, the terms that multiply the x variables are called coefficients.

For example, take a standard quadratic equation: [tex]ax^2 + bx + c[/tex]

-----------------------------------------

In this problem, we want an expression in which the term "x" is multiplied by 1, and the desired expression is:

[tex]2x^2 + x - 9[/tex]

A similar problem is given by https://brainly.com/question/15446728

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   Hi my lil bunny!

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Let's solve your equation step-by-step.

[tex]\frac{1}{4} x^2+5=0[/tex]

For this equation: [tex]a=0.25, b=0, c=5[/tex]

[tex]0.25x^2 + 0x + 5 = 0[/tex]

Step 1: Use quadratic formula with [tex]a=0.25, b=0, c=5.[/tex]

[tex]x = \frac{-b ± \sqrt{b^2 - 4ac} }{2a}[/tex]

[tex]x = \frac{-(0) ± \sqrt{(0)^2 -4 (0.25) (5) } }{2(0.25)}[/tex]

[tex]x = \frac{0 ± \sqrt{-5} }{0.5}[/tex]

Answer : No Real Solutions.

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If this helped you, could you maybe give brainliest..?

Also Have a great day/night!

❀*May*❀

Answer:

a) First Average mean = 21

b) Current mean = 22

Step-by-step explanation:

Formula For mean =

Sum of Terms/ Number of terms

a)Sandy had test scores of 20, 25, 17, 22, and 21.

Number of terms = 5

Mean = (20 + 25 + 17 + 22 + 21)/5

= 105/5

= 21

b) On the next 3 test Sandy's score were 24, 24, and 23

To calculate this current mean, we will add the first 5 test scores, with this current 3 test scores and then find the average.

Mean = (20+ 25+ 17 +22 +21 + 24 + 24 + 23)/8

Mean = 176/8

Mean = 22

Answer:

Step-by-step explanation:

Answer: don't know

Step-by-step explanation:

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▹ Answer

Y = 1

▹ Step-by-Step Explanation

[tex]\frac{10}{2} = \frac{5}{y} \\\\10/5 = 2\\2/2 = 1\\\\Y =1[/tex]

Hope this helps!

CloutAnswers ❁

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Answer:

0.332

Step-by-step explanation:

given series

1/4, 1/16,1/64.1/256

this is geometric series

where common ratio   r is given by

nth term/ (n-1)th term

let the second term is nth term and first term is (n-1)th term

r = 1/16 / (1/4) = 1/4

___________________________________________

sum of series is given by

a (1-r^n)/1-r

where a is first term

n is the number of terms

r is the common ration

___________________________________________

in the given series

1/4, 1/16,1/64.1/256

a = 1/4

r = 1/4

n = 4

thus ,

sum = 1/4(1-(1/4)^4)/ (1-1/4)

sum = 1/4(1-(1/256)/(4-1)/4

sum = 1/4((256-1)/256 / 3/4

1/4 in numerator and denominator gets cancelled

sum =( 255/256*3) = 255/768 = 0.332

Thus, sum of series is 0.332.

Answer:

341/256

Step-by-step explanation:

I took the test and got the answer right

You just give all the fractions a common denominator of 256 and then change and add up the numerators and you get 341

Answer:

Thanks for the points... dude.....

Answer:

  B)  100

Step-by-step explanation:

Let c represent the number of chicken meals ordered. Then 150-c is the number of beef meals ordered, and the total meal cost is ...

  4c +6(150-c) = 700

  -2c = -200 . . . . . . . . subtract 900, simplify

  c = -200/-2 = 100

100 chicken meals were ordered.

Answer: [tex]3\sqrt{13}[/tex]

Step-by-step explanation:

[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\sqrt{\left(-4-2\right)^2+\left(3-\left(-6\right)\right)^2}[/tex]

[tex]=3\sqrt{13}[/tex]

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope of the line m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (1, - 2)

m = [tex]\frac{-2-2}{1+1}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

You can add the numbers in different ways but still get the same answer.

1. 3 + 5 + 4.5 = 12.5

2. 5 + 3 + 4.5 = 12.5

3. 3 + 4.5 + 5 = 12.5

4. 5 + 4.5 + 3 = 12.5

5. 4.5 + 5 + 3 = 12.5

6. 4.5 + 3 + 5 = 12.5

These a couple of different ways you can add the numbers to get the same answer. This shows proof of how the associative property is related and gets you the correct answer no matter how the numbers are positioned.

P.S - You can solve this for different numbers.

Hope this helped,

Kavitha

Answer: [tex]x=4[/tex]

Simplify both sides of the equation.

[tex]-7x+8=-4(x+1)\\-7x+8=(-4)(x)+(-4)(1)(Distribute)\\-7x+8=-4x+-4[/tex]

Add 4x to both sides

[tex]-7x+8+4x=-4x-4+4x\\-3x+8=-4[/tex]

Subtract 8 from both sides

[tex]-3x+8-8=-4-8\\-3x=-12[/tex]

Divide both sides by -3

[tex]-3x/-3=-12/-3\\x=4[/tex]

Answer:

x=4

Step-by-step explanation:

Let's first simplify the equation.  

-7x+8= -4x-4                    

You get -4x-4 by distributing the -4 into the numbers in the parenthesis because -4 is right outside the parenthesis.

-4 times x= -4x

-4 times 1= -4

-7x+8= -4x-4

Next, move the -4x to where the -7x is because we want to combine like terms.  When a number moves to the opposite side, it changes from positive to negative or negative to positive.  Like here: -4x moves to a different side, so it becomes +4x.  

-7x+4x+8= -4  

Do the same for 8.  Since -4 is on the other side, move 8 to that side.  It turns from +8 to -8.

-7x+4x= -4-8

Combine like terms and solve.  

-7x+4x= -3x

-4-8= -12

So we have this now: -3x= -12

Since 12 divided by 3 is 4, and negative with negative is positive, it becomes positive 4. :)

Answer:

D. m = 43

Step-by-step explanation:

Answer: D. m=43

Step-by-step explanation:

Answer:

volume before reducing is 8 times the volume after reducing

Step-by-step explanation:

volume before reducing=

V=4/3πr³=

V=4/3π(9)³=972π cm³

diameter reduced to half=18/2=9 cm

radius=d/2=9/2=4.5 cm

volume of sphere when diameter reduced by 1/2=

V=4/3πr³

v=4/3 (π)(4.5)³=121.5π

Answer:

The volume of a sphere whose diameter is 18 centimeters is 972  π cubic centimeters. If its diameter were reduced by half, its volume would be 1/8  of its original volume.

Step-by-step explanation:

Correct for plato :)

Answer:

a=-3

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

2: 5, 10, 261.8, 785.4, 0.33

3: 7, 20, 1,026.3, 3,078.8, 0.33

4: 8, 6, 402.1, 1,206.4, 0.33

5: 12, 11, 1,658.8, 4,976.3, 0.33

That's the solution to that question

Answer:

46.9 ft/sec

Step-by-step explanation:

A giraffe can run 32 miles per hour. What is this speed in feet per second? Round your answer to the nearset tenth.