What’s question number 2? I have been stuck on this.

Answer:

[tex]\dfrac{4^{-3}}{4^{-1}} = \dfrac{4^{1}}{4^{3}}[/tex]

[tex]\dfrac{4^{-3}}{4^{-1}} = \dfrac{1}{4^{2}}[/tex]

Step-by-step explanation:

Given

[tex]\dfrac{4^{-3}}{4^{-1}}[/tex]

Required

Choose equivalent expressions

Choosing the first answer:

[tex]\dfrac{4^{-3}}{4^{-1}}[/tex]

Split expressions

[tex]4^{-3} * \frac{1}{4^{-1}}[/tex]

Apply laws of indices: [tex](a^{-b} = \frac{1}{a^b})[/tex]

[tex]\frac{1}{4^3} * \frac{1}{4^{-1}}[/tex]

Apply laws of indices: [tex](a^{-b} = \frac{1}{a^b})[/tex]

[tex]\frac{1}{4^3} * \frac{1}{1/4}[/tex]

[tex]\frac{1}{4^3} * \frac{4^1}{1}[/tex]

[tex]\frac{4^1}{4^3}[/tex]

Hence:

[tex]\dfrac{4^{-3}}{4^{-1}} = \dfrac{4^{1}}{4^{3}}[/tex]

Choosing the second:

[tex]\dfrac{4^{-3}}{4^{-1}}[/tex]

Apply law of indices: [tex](\frac{a^m}{a^n} = a^{m-n})[/tex]

So,

[tex]\dfrac{4^{-3}}{4^{-1}} = 4^{-3-(-1)}[/tex]

[tex]\dfrac{4^{-3}}{4^{-1}} = 4^{-3+1)}[/tex]

[tex]\dfrac{4^{-3}}{4^{-1}} = 4^{-2}[/tex]

Apply law of indices: [tex](a^{-b} = \frac{1}{a^b})[/tex]

So:

[tex]\dfrac{4^{-3}}{4^{-1}} = \dfrac{1}{4^{2}}[/tex]

Answer: 4^-2

Step-by-step explanation:

Answer:

5inches in all angles 2 right 2 obtuse 1 acute

Step-by-step explanation:

Answer:

125 times bigger.

Step-by-step explanation:

A great way to visualize this problem is to think of it as a volume problem itself. Another good way to think about it is to plug in numbers in its place.

Way #1

5*5*5 (or 5^3)=125

Way #2

(2*2*2)=8

(2*5)*(2*5)*(2*5)=1000

1000/8=125

Answer:

The graph of g(x) is the graph of f(x) translated 7 units down

Step-by-step explanation:

Hope this helps!

Answer:

15 over four + 12

Step-by-step explanation:

I have had the question in the past

n = - 9

Hi there !

3n = - 27

n = - 27/3

n = - 9

Good luck !

Answer:

1/2

Step-by-step explanation: you would have to multiply mables amount and her mothers and you have ur answer

Answer:

it is one half

Step-by-step explanation:

Answer:

A. 3:4

B. 63 soccer players

Step-by-step explanation:

A. If out of 7 players, 3 wore headbands, then it means 4 out of 7 did not wear headbands.

Ratio of players who wire headbands to those who didn't wear headbands would be 3:4

B. Let x represent number of players who wore headbands

Number of players who didn't wear = 36

Total number of players in the league = number of players who wore headbands + those who didn't wear headbands = x + 36

Let's find x by using the ratio generated in part A.

Ratio of players who wore head bands to players who didn't wear = 3:4 = x:36

[tex] \frac{3}{4} = \frac{x}{36} [/tex]

Cross multiply

[tex] 4*x = 3*36 [/tex]

[tex] 4x = 108 [/tex]

[tex] \frac{4x}{4} = \frac{108}{4} [/tex]

[tex] x = 27 [/tex]

Total number of players in the league = x + 36

Plug in the value of x

= 27 + 36

= 63 players

Answer:

$2

Step-by-step explanation:

5-3=2

the 5 bc he found it, the 3 bc he needs to give to his friend, so in total/in the end its $2

Hope this helps

Answer:

15a: 3 tarts = 90 minutes or 1 tart = 30 minutes

15b: 3.75 days

15c: 5 = 120 minutes or 1 tart every 24 minutes. It would take 720 minutes, or 12 hours, and if Peter is working 4 hrs a day, it would take 3 days.

Step-by-step explanation:

Answer:

y<-2/3x. y< x-3

Step-by-step explanation:

y ≤ - (2/3)x and y < x - 3 are the system of inequalities that best matches he graph below.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

First, we can see that for both of the inequalities the shaded part is below the lines.

You also can see that the solid line (correspondent to the symbol ≤) is the one with a negative slope, and the dashed line (correspondent with the line <) is the one with a positive slope.

Only with that, we conclude that the correct option is B.

y ≤ - (2/3)x

y < x - 3

Hence, y ≤ - (2/3)x and y < x - 3 are the system of inequalities that best matches he graph below.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ5

Answer:

Step-by-step explanation:

1. Let the number be x

x^2 + 4x = 21

x^2 + 4x - 21 = 0

Solve the quadratic equation using factorization method

x^2 - 3x + 7x - 21 = 0

x(x - 3) + 7(x - 3) = 0

(x - 3)(x+7) = 0

x - 3 = 0 x + 7 = 0

x = 3 x = -7

The number is either 3 or -7

2. Same solution as number 1

3. Let

Width = x

Length = 2x - 3

Area of the rectangle = 9 square ft

Area of a rectangle = length × width

9 = (2x - 3) (x)

9 = 2x^2 - 3x

2x^2 - 3x - 9 = 0

Solve using quadratic formula

a = 2

b = -3

c = -9

x = -b +or- √b^2 - 4ac / 2a

= -(-3) +or- √(-3)^2 - 4(2)(-9) / 2(2)

= 3 +or- √ 9 - (-72) / 4

= 3 +or- √9 + 72 / 4

= 3 +or- √81 / 4

= 3 +or- 9 / 4

x = (3 + 9)/4 or (3 - 9) / 4

= 12 / 4 or -6 / 4

x = 3 or -3/2

Width can not be a negative value

So,

Width = x = 3 ft

Length = 2x - 3

= 2(3) - 3

= 6 - 3

= 3ft

2.if the sum of the square of the number and 4 time that number is 21 the what is the number?

3. the length of the rectangle is 3 less than twice the width. if the area is 9 square ft, the length and width of the rectangle.

4.given the figure below. find the area of the shaded part of the rectangle if the area of the big but angle is 6 times the area of the unshaded rectangle ​

Unshaded area

Length = 2x

Width = x

Shaded area

Length = (2x+3)

Width = (x+3)

Area of the shaded area = 6 × the unshaded area

(2x) (x) = 6(2x + 3)(x+3)

2x^2 = 6(2x^2 + 6x + 3x + 9)

2x^2 = 12x^2 + 36x + 9x + 54

2x^2 = 12x^2 + 45x + 54

12x^2 + 45x + 54 - 2x^2 = 0

10x^2 + 45x + 54 = 0

You would want to use the Keep, Change , Flip

method. So you keep the 1/8, change division into multiplication, the flip the 4 into 1/4.

Step-by-step explanation:

(1/8) / 4

(1/8) * (1/4)

answer: 1/32 or 0.03125

Answer:

No solutions

Step-by-step explanation:

hope this helps!

Answer:

35 degrees

Step-by-step explanation:

Since m || n, you can know that the angle 145 is corresponding to the to the other angle on top. After that, you use the supplementary angle formula and x is 180-145=35 degrees

Answer: 10-7x3+18

Step-by-step explanation:

Ten less so that would be (10-) less than seven would make it (10-7) times a number is the same as 3 would make it (10-7x3) plus 18 would then make it (10-7x3+18)

Did that help??!!

Correct arrangement of the question is;

Rewrite the rational exponent as a radical: five to the three fourths power all raised to the two thirds power

A) the cube root of 5 squared

B) the twelfth root of 5

C) the square root of 5

D) the cube root of 5 the fourth power

Answer:

Option C) the square root of 5

Step-by-step explanation:

We are given: five to the three fourths power all raised to the two thirds power

Translating that statement means 5 is raised to ¾ raised to ⅔.

In indices, when we have two powers attached to a number, the two powers will multiply each other.

Thus, 5 is raised to; ⅔ × ¾ = 2/4 = ½

Thus, 5 is raised to power ½.

Now, when a number is raised to the power ½, it is said to be square root of that number.

Thus, the right answer is square root of five.

Answer:

D.Shaping people's spiritual beliefs

Step-by-step explanation:

Answer:

Passing laws that affect all citizens

Step-by-step explanation:

A pex

Answer:

your answer is y=-2x+3

Answer:

corect answer

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Because 3/8 plus 1/4 equal 5/8, and then the two 5/8s cancel out.

Answer:

DASSDASDSADA

Step-by-step explanation:DADSA

Answer:46

Step-by-step explanation:

C! Just got the question and turned in the test, it’s C!!

Answer: 6 x ^2+ 10

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

5/12 is the answer but 1/3 x 5/4 is the reduced version of your question and the alternate form of the answer is 0.416

I believe it is C: (0,12)

Hope this helps!