What number should be placed in the box to help complete the division calculation?

Answer:

x^15/x^8 = x^7

x^3⋅x^4 = x^7

(x^21)1/3 = x^7

Step-by-step explanation:

The equivalent expressions of expression x⁷ are (x²¹)¹/³, x⁷ and x¹⁵/x⁸.

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

An expression x⁷.

To find the equivalent expressions:

(1).

(x²¹)¹/³

Simplifying,

= ∛(x⁷)³

= x⁷

This is an equivalent expression of expression x⁷.

(2).

x¹⁵/x⁸

Simplifying,

= x⁸⁺⁷/x⁸

= x⁷

This is an equivalent expression of expression x⁷.

(3).

x¹³ / x²¹

Simplifying,

= x¹³/x¹³⁺x⁸

= 1/ x⁸

This is not an equivalent expression of expression x⁷.

(4).

x³ / x⁴

Simplifying,

= 1/ x

This is not an equivalent expression of expression x⁷.

(5).

x¹⁵ x⁸

Simplifying,

= x²¹

This is not an equivalent expression of expression x⁷.

(6).

x³x⁴

Simplifying,

= x⁷

This is an equivalent expression of expression x⁷.

Therefore, the equivalent expressions are (x²¹)¹/³, x⁷ and x¹⁵/x⁸.

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Answer:

5 + 2[tex]\sqrt{11}[/tex]

Step-by-step explanation:

5 + [tex]\sqrt{11}[/tex] - [tex]\sqrt{5}[/tex] + [tex]\sqrt{11}[/tex] + [tex]\sqrt{5}[/tex]

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

5 + 2[tex]\sqrt{11}[/tex]

Answer:

b  > 250/9 and w ≥ 0

Step-by-step explanation:

7/9 (b - 27) > 49/81

First, simplify both sides of the inequality:

7/9b - 21 > 49/81

Add 21 to both sides

7/9b - 21 +21 > 49/81 +21

Multiply both sides by 9/7

9/7 x 7/9b > 49/81 x 9/7

b > 1750/81

Simplify

b > 250/9

11w - 8w ≥ 14w

Simplify both sides once again

3w ≥ 14w

Subtract 14w from both sides

3w - 14w ≥ 14w - 14w

-11w ≥ 0

Divide both sides by -11w

w ≥ 0

Answer:

4. 7/9 (b - 27) > 49/81

=> 7/9b - 21 > 49/81

=> 7/9b - 21 > 7/9

=> 7/9b -21 + 21 > 7/9 + 21

=> 7/9b > 7/9 + 189/9

=> 7/9b > 196/9

=> 7/9b / 7/9 > 196/9 / 7/9

=> To divide fractions, take the reciprocal of the divisor fraction and then multiply.

=> b > 196/9 x 9/7

=> b > 1764 / 63

=> b > 28

4th answer is b > 28

5. This question doesn't make any sense.

=> 11w - 8w greater or equal to 14w

=> 3w greater or equal to 14w.

If we make "w" as any number, this equation will not come true as 14 is larger than 3.

This answer may be correct the equation is like:

3w is smaller or equal to 14w.

Answer:

Coefficents of 2-x: 2, -1.

The answer is 2 or -1, but I don't have choices.

Answer:

-1

Step-by-step explanation:

The coefficient is the number in front of the variable along with the sign

2 + -1x

The coefficient is -1

Answer:

[tex]A=135.37\ \text{inch}^2[/tex]

Step-by-step explanation:

Given that,

Radius of circle, r = 19 inch

Angle with sector, [tex]\theta=135^{\circ}[/tex]

We need to find the area of the sector.

The formula is given by :

[tex]A=\dfrac{\theta}{360}\times \pi r^2\\\\A=\dfrac{135}{360}\times \pi (19)^2\\\\A=135.37\ \text{inch}^2[/tex]

So, the area of the sector is [tex]135.37\ \text{inch}^2[/tex].

Answer:

4 is the lcm if you forgot the space in 4 and 8

Step-by-step explanation:

answer: 4 is the answer when 4 and 8 are are not together

Answer:

Step-by-step explanation:

The triangles' angles are congruent.

So,

J = H

67 = 67

I = K

X = X

Make the angles add

So,

46 + 67 = 113

Subtract from total

180 - 113 = 67

Hope this helped,

Kavitha

Answer:

54 EVEN GREATER

Step-by-step explanation:

Answer:

[tex]-\frac{209}{54}[/tex]

Step-by-step explanation:

Therefore, the answer is -209/54.

Answer:

10x + 7

Step-by-step explanation:

First expand by distributing the 3 and the 2 on the outside of both parentheses:

3(2x-1) + 2(2x+5) becomes

(6x - 3) + (4x + 10)

Then combine like terms (6x + 4x and -3 + 10) to simplify:

6x + 4x - 3 + 10 = 10x + 7

Answer:

this type of motion is represented by a downward facing parabola which would be choice b

Step-by-step explanation:

hope this helps

Answer:

-6

Step-by-step explanation:

In an arithmetic sequence, the common difference is the difference between each number in the sequence.

In this sequence, the common difference is -6 because from left to right, we can see that the numbers decrease by 6 each time.

For example, 12 - 6 = 6.

Answer:

every step you subtract 6 so the common difference is -6

Answer:

x = 3

Step-by-step explanation:

3(2x + 5) = 33

3 * 2x + 3 * 5 = 33

6x + 15 = 33

6x = 33 - 15

x = 18 / 6

x = 3

Answer:

y = -x + 12

Step-by-step explanation:

2x + 2y = 24

divide all by 2

x + y = 12

y = -x + 12

Answer:

Answer attached below

Since there are no common factors, the only common factor for he eqaution is  1

(✿◡‿◡)

Answer:

plz give the ques properly

Answer:

-2x^2(3x^3-5)=-6x^5+10x^2

-3b^5(2b+1)=-6b^6-3b^5

Answer:

Step-by-step explanation:

Let the number be x

The statement

twice a number is written as

2x

The sum of twice a number and seven is written as

2x + 7

The result is 13

So we have

2x + 7 = 13

Subtract 7 from both sides

That's

2x + 7 - 7 = 13 - 7

2x = 6

Divide both sides by 2

That's

[tex] \frac{2x}{2} = \frac{6}{2} [/tex]

We have the final answer as

Hope this helps you

Answer:9

Step-by-step explanation:5+4=9

Answer: False!

This equation is in slope - intercept form, which is used to calculate and graph a line, and/or find the y - intercept and slope of a line. The standard form would be the equation before it was converted into slope - intercept form.

Hope this helps!

Answer:

False

Step-by-step explanation:

The y=mx+b form is called the slope-intercept form.

● m is the slope

● b is the y-intercept

● x is the variable (the input)

● y is the output

Answer:

[tex]3\frac{1}{2}-rational[/tex]

[tex]\pi -irrational[/tex]

[tex]-\frac{2}{3}-rational[/tex]

[tex]\sqrt{16} -rational[/tex]

[tex]\sqrt{3} -irrational[/tex]

[tex]18-rational[/tex]

[tex]0.625-rational[/tex]

[tex]0.987987987...-rational[/tex]

Step-by-step explanation:

Rational numbers:

-are all numbers you can write as a quotient of integers  [tex]\frac{a}{b}[/tex] , [tex]b\neq 0[/tex]

-include terminating decimals. For example, [tex]\frac{1}{8}=0.125[/tex]

-include repeating decimals. For example, [tex]\frac{1}{3} =0.33333....[/tex]

Irrational numbers:

-have decimal representations that neither terminate nor repeat. For example, [tex]\sqrt{2}=1.414213....[/tex]

-cannot be written as quotients of integers

Answer:

Explained below.

Step-by-step explanation:

In this case we need to form two group of cards (consisting of any number of cards) having the same sum using the cards numbered as 8, 7, 6, 2, 1, 3.​

The possible groups are as follows:

Group 1               Group 2                    Sum

{8, 1}                      {7, 2}                         9

{8, 2}                     {7, 3}                         10

{8, 3}                     {7, 3, 1}                      11

{8, 1, 3}                  {7, 3, 2}                     12

{8, 2, 3}                 {7, 2, 1, 3}                  13

{8, 3, 2, 1}              {7, 6, 1}                      14

And so on.

Answer:

B

Step-by-step explanation:

a negative and a negative makes a positive, so in this case, it would be a positive 4.

Answer: C

Step-by-step explanation: 96 divided by 8 will give 12 and you subtract 12 from 2 to the power of 3 and it will give 4.

2 to the power of 3= 2×2×2=8

(96÷8)-2³=12-2³

              =12-8

              =4

Answer:

7

3 times ? - 11

=

? + 3

? = 7

Step-by-step explanation:

3 times 7 is 21 -11 is 10

7+3 is 10

Both equations has to make 10 so it is the answer of 7

Hope this helps :)

Answer:

[tex]\boxed{x=7 }[/tex]

Step-by-step explanation:

3x - 11 = x + 3

→ Minus x from both sides to isolate the 'x's

2x - 11 = 3

→ Add 11 to both sides to isolate 2x

2x = 14

→ Divide both sides 2 to isolate x

x = 7

Answer:

i'm pretty sure its D (not sure btw)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Took the test ;)

Answer:

  x = 1/2 or 3

Step-by-step explanation:

Compare the given equation to the standard form equation to identify the values of the variables in the formula. Then put those values in the formula and do the arithmetic.

  [tex]ax^2+bx+c=0\\\\2x^2-7x+3=0\\\\a=2;\ b=-7;\ c=3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4(2)(3)}}{2(2)}=\dfrac{7\pm\sqrt{25}}{4}=\dfrac{7\pm 5}{4}\\\\x=\left\{\dfrac{1}{2},3\right\}[/tex]

Answer:

Step-by-step explanation:

[tex]2x^2-7x+3=0\\\\x_1 ,2 =\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=2\\\:b=-7\\,\:c=3\\:\quad x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{\left(-7\right)^2-4\times\:2\times\:3}}{2\times\:2}\\\\=\frac{7+\sqrt{\left(-7\right)^2-4\times\:2\times\:3}}{2\times\:2}\\\\7+\sqrt{\left(-7\right)^2-4\times\:2\times\:3}=7+\sqrt{25}\\\\=\frac{7+\sqrt{25}}{2\times\:2}\\\\=\frac{7+\sqrt{25}}{4}\\\\\sqrt{25}=5\\\\=\frac{7+5}{4}\\\\=\frac{12}{4}\\\\=3 \\[/tex]

[tex]x=\frac{-\left(-7\right)-\sqrt{\left(-7\right)^2-4\times\:2\times\:3}}{2\times\:2}\\\\=\frac{7-\sqrt{\left(-7\right)^2-4\times\:2\cdot \:3}}{2\times\:2}\\\\7-\sqrt{\left(-7\right)^2-4\times \:2\times\:3}=7-\sqrt{25}\\\\=\frac{7-\sqrt{25}}{2\times \:2}\\\\=\frac{7-\sqrt{25}}{4}\\\sqrt{25}=5\\\\=\frac{7-5}{4}\\=\frac{2}{4}\\\\=\frac{1}{2}[/tex]

Answer:

x=-6

Step-by-step explanation:

5x+3=−27

Subtract 3 from both sides.

5x=−27−3

Subtract 3 from −27

5x=−30

Divide both sides by 5.

x=30/5

Divide −30 by 5

x=−6

Answer: -6

Step-by-step explanation:

  3+5x=-27

3+5x-3=-27-3 ⇔ subtraction property of equality

      5x=-30 ⇔ simplify

  5x/5=-30/5 ⇔ division property of equality

        x=-6 ⇔ answer

Hope this helps!! :)

Answer:

s = -1

Step-by-step explanation:

8 - 4s = s + 13

-4s - s = 13 - 8

-5s = 5

s = 5/-5

s = -1

probe:

8 - 4*-1 = -1 + 13

8 + 4 = 12

Answer:

x4-x3-2x2-4x+12

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)

=> x4-4x2+4-(x3-2x2+4x-8)

=> x4-4x2+4-x3+2x2-4x+8

=> x4-x3-2x2-4x+12

The value of the function (f-g)(x) is [tex]x^4-x^3-2x^2-4x+12[/tex].

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are [tex]f(x)=x^4-4x^2+4[/tex] and g(x)=x³-2x²+4x-8.

Now, (f-g)(x)=f(x)-g(x)

= ([tex]x^4-4x^2+4[/tex])-(x³-2x²+4x-8)

= [tex]x^4-4x^2+4[/tex]-x³+2x²-4x+8

= [tex]x^4-x^3-2x^2-4x+12[/tex]

Therefore, the value of the function (f-g)(x) is [tex]x^4-x^3-2x^2-4x+12[/tex].

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Answer:

It's True!

Step-by-step explanation:

Iv'e taken a class on that.

Answer:

False

Step-by-step explanation:

Intersection of a set A with empty set is an empty set. So the answer is False.

Answer:

4n^2

Step-by-step explanation:

n to the power of 2 (squared), multiplied by 4

[tex]4n^{2}[/tex]

An algebraic expression is one that is constructed using integer constants, variables, and algebraic operations.

Any of the common arithmetic operations, such as addition, subtraction, multiplication, division, raising to a whole number power, and taking roots, is a basic algebraic operation.

Square of [tex]n=n^{2}[/tex]

Four times the square of [tex]n^{2}[/tex] is equal to [tex]4n^{2}[/tex]

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