Order the simplification steps of the expression below using the properties of rational exponents. [tex]\sqrt[3]{7}=7^{\frac{1}{3}}[/tex]

A.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}=7^{\frac{1}{3}}\cdot ^{\frac{1}{3}}\cdot ^{\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7\\[/tex]

B.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}=7\cdot 7^{\frac{1}{3}}=3\cdot \frac{1}{3}\cdot 7=1\cdot 7=7[/tex]

C.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7^{\frac{1}{3}}+\:^{\frac{1}{3}}+\:^{\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7[/tex]

D.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7\cdot \left(\frac{1}{3}+\frac{1}{3}+\frac{1}{3}\right)=7\cdot \frac{3}{3}=7\cdot 1=7[/tex]

Answer:

Step-by-step explanation:

30% off of 10000 is 3000

So the loss is 10000-3000=7000

30% gain on 10000 is 3000

so the gain is 10000+3000=13000

So in all there was no losses or gains. It still equals to 20000

Answer:

2/3-4x+7-2=-9.x+5/6

2/3+7/1-2/1-5/6=-9.x+4x

12+126-36-15/18=-5x

87/18=-5x

29/6=-5x

29/6÷5=-5x÷5

29/6*1/5=-5x÷5

29/30=-x

-29/30=x

-0.9667=x

Answer:

f(2)=5

q(2) =-5

p(2) = 5

f(x) and p(x) has the same output value

Answer:

16

Step-by-step explanation:

Answer:

16 times

Step-by-step explanation:

the four times four need help is just asking 4×4 which is 16

Answer:

{y: y = –7, –2, 3, 8}

Step-by-step explanation:

Answer:

y = 1x - 500

Step-by-step explanation:

b is were the line crosses the y axis so its -500

and to find slope you do -200-(-400) over 300-100 and it equals 1

hope this helps:)

Answer:

x = 16

Step-by-step explanation:

(b)

Since the triangles are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{CB}{DE}[/tex] = [tex]\frac{AC}{AD}[/tex] , substitute values

[tex]\frac{x}{20}[/tex] = [tex]\frac{8}{10}[/tex] ( cross- multiply )

10x = 160 ( divide both sides by 10 )

x = 16

Answer:

120*60=7200

(sorry if i gave u a answer that's not up there or if i get this wrong for you)

68 is the area of the given polygon

The line is 7 units long. Add the two equations together and set equal to 7:

7x-1 + 2x-1 = 7

Combine like terms:

9x-2= 7

Add 2 to both sides:

9x= 9

Divide both sides by 9:

X= 1

Answer:

For 2x -1, X = 3 (2 x 3 = 6 - 1 = 5)

For 7x -1, X = 1/7 or 0.142857.

Step-by-step explanation:

Answer:

[tex]6a^{5}[/tex].

Step-by-step explanation:

To multiply exponents, you will need to begin by multiplying the coefficients as normal. In this instance:

3 · 2 = 6.

When multiplying exponents, however, remember that you must ADD the exponents. Therefore:

3a² · 2a³ = [tex]6a^{5}[/tex]

Answer:

C

Step-by-step explanation:

just did it on edge

Answer:

X=51/7, Y= -36/7

Step-by-step explanation:

X/3 + 2y/3 = -1 equ 1

X - y/3 = 9 equ 2

eliminate X/3.

X/3 + 2y/3 = -1..... x 1 ( co-efficient of X in equ2 )

X - y/3 = 9 ...... x 1/3 ( co-efficient of X in equ1 )

X/3 + 2y/3 = - 1 equ 3

-

X/3 - y/9 = 3 equ 4

0 + 7y/9 = -4

y = -36/7

( input the value of y into equ 4 )

X/3 -y/9 = 3

X/3 - (-36/7)/9 = 3

X/3 + 36/63 = 3

X/3 = 3 - 36/63

X/3 = 153/63

63X = 459

X = 459/63

X = 51/7.

Answer:

840cm^2

Step-by-step explanation:

Volume: Area of cross section x length

Area of cross section:(15 x 8 + 4x 5 )

length: 6

So volume:

(15 x 8 + 4x 5 ) x 6 = 120 + 20 X 6 = 140x6 = 840cm^2.

Hope this helps.

Good Luck

Answer:

0.35

Step-by-step explanation:

if you divide them together you get 0.35

Answer:

Step-by-step explanation:

Area of triangle = (1/2)bh

                          [tex]=\frac{1}{2}*25*21.65\\\\[/tex]

                          = 270.625 cm²

Area of 6 triangles = 6 * 270.625

                              = 1623.75 cm²

Trapezium:

a = 25 cm

b = 25 +  12.5 +12.5 = 50 cm

h = 21.65 cm

[tex]Area=\frac{(a+b)*h}{2}\\\\=\frac{(25+50)*21.65}{2}\\\\=\frac{75*21.65}{2}[/tex]

=811.875 cm²

Area of two trapezium = 2 *811.875

                                     = 1623.75 cm²

Area of star = 1623.75 +1623.75

                  = 3247.50 cm²

Answer:

3247.50 cm sq

Step-by-step explanation:

Answer:

2/4 +6/8 =5/4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Looking at the graph we can see that the function is increasing -4<x<-2 and 0<x2

The graph is increasing when it is going upwards, or has a slope greater than 0

We can see that happening in two places in the function, which are the intervals of the x coordinate in B

Answer:

B

Step-by-step explanation:

The function is increasing - 4 < x < - 2 and 0 < x < 2 and has a slope greater than 0, and it's happening at 2 places on the graph, so it's B

Hope this helps!

To work out the determinant of a 3×3 matrix:

Multiply a by the determinant of the 2×2 matrix that is not in a's row or column

Likewise for b, and for c

sum them up, but remember the minus in front of the b

_____________________________________________________

Hope this helps, stay safe, have a good day :D

Answer: it’s C

Step-by-step explanation:

just took the assignment

Answer:

A) 3

Step-by-step explanation:

The range is the highest value - the lowest value from the data

The data given is 1,2,3,4

Highest value: 4

Lowest value: 1

So range = 4-1

= 3

Answer:

he reeled in 16 times

Step-by-step explanation:

y=2

Step-by-step explanation:

Make an equation of straight line by using the formula :y= mx+c

put the x-value of point (2,4) which is 2 and the gradient,m which is 2 into the straight line equation:

y=2x +c

So you need to find the y-intercept to complete the equation, therefore:

when y=0,

0=2(2)+c

c=-4

next the question ask to find the y-coordinate when x =3, therefore you just need to replace x in the equation with 3:

y=2(3)-4

y=4

Answer:

$5.96

Step-by-step explanation:

To find 12% of 49.65 you multiply 49.65*0.12 (decimal equivalent of 12%) = 5.958. Since it's money, you need to round to the nearest cent.

Answer:

8 weeks

Step-by-step explanation:

Answer:

1/6 of 42:

first, of is the same as multiplication so change this:

1/6 * 42

put 42 over 1 so they are both fractions:

1/6 * 42/1

Now solve:

42/6

= 7

:) brainliest?

(if u meant the sixth root of 42, it's about 1.86)

Answer:

7

Step-by-step explanation:

42/6=7

Answer:

It would be $340 (with rental cost)

Without the rental cost it would be $250

Step-by-step explanation:

You have to multiply $0.50 with 500 since you drove 500 kilometers. That gives you $250. When you add the $90 to rent, you get $340.

Equation: 90 + .05k

k= kilometers

Answer:

$50

Step-by-step explanation:

If he pays $10 every month, and he pays for 5 months, it would be 10 x 5, which means he would be $50 in debt.