Vhich of the following is most likely the next step in the series
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Answer:

the expression is equivalent to x^2/3

Step-by-step explanation:

[x^4/3 x^2/3]^1/3

=[x^4/3+(2/3)]^1/3

by using laws of exponent

a^m  a^n=a^m+n

=[x^4/3+2/3]^1/3

=[x^6/3]^1/3

={x^2]^1/3

by using law of exponent

(a^m)^n=a^mn

=x^2×1/3

=x^2/3

i hope this will help you :)

Answer:

x^2/3

option B is the right option

solution,

[tex]( {x}^{ \frac{4}{3} } . {x}^{ \frac{2}{3} }) ^{ \frac{1}{3} } \\ = ({x ^{ \frac{4}{3} + \frac{2}{3} } )}^{ \frac{1}{3} } \\ = ({x}^{ \frac{4 + 2}{3} } ) ^{ \frac{1}{3} } \\ = ( {x}^{ \frac{6}{3} } ) ^{ \frac{1}{3} } \\ = {x}^{ \frac{6 \times 1}{3 \times 3} } \\ = {x}^{ \frac{6}{9} } \\ divide \: 6 \: and \: 9 \: by \: 3 \\ = {x}^{ \frac{2}{3} } [/tex]

hope this helps...

Good luck on your assignment...

Answer:

X would be 48 degrees

Step-by-step explanation:

If you would like an explanation just comment it

Answer:

9 months

Step-by-step explanation:

simple interest ( I) is calculated as

I = [tex]\frac{PRT}{100}[/tex]

P is the principal, R the rate of interest and T the time in years

Here I = 210, P = 3500 and R = 8, thus

210 = [tex]\frac{3500(8)T}{100}[/tex] = 35 × 8T = 280T ( divide both sides by 280 )

0.75 = T

Thus T = 0.75 years = 9 months

The money was invested for 9 months

Answer:

9 months

Step-by-step explanation:

investment= 3500

interest rate= 8% PA simple

time= x years

Interest= $210

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

3/4 year= 3/4*12 month= 9 months

Answer:

Step-by-step explanation:

1) The advertisements boast that 25% of the cereal in each box is almonds. It means that the percentage of the other cereals in the box is 100 - 25= 75%

Therefore, the portion of each box that is not almonds is 75/100 = 0.75

2) The advertisements boast that 25% of the cereal in each box is almonds. If each box contains 12 cups of cereal, then the number of cups of almonds in each box is

25/100 × 12 = 3 cups

3) if each box contains 12 cups of cereal, and 4 cups are oats, then the percentage of each box that is oats is

4/12 × 100 = 33.33%

Answer:

An employee makes a job change.

Her original salary was S1 = $65,000.

Her salary at her new job is S2 = $54,000.

=> The percentage of change in her salary:

C = (|S2 - S1|/S1) x 100 =  (|54000 - 65000|/65000) x 100 = 16.9%

Hope this helps!

:)

Answer:

Step-by-step explanation:

Decreased amount =65,000 - 54,000 = $ 11000

[tex]Percentage=\frac{11000}{65000}*100\\\\=\frac{1100}{65}\\\\[/tex]

=16.92%

Answer:

65 :)

Step-by-step explanation:

Answer:

[tex]10.7\%[/tex]

Step by step explanation

hope this helps

brainliest appreciated

good luck! have a nice day!

Step-by-step explanation:

0.107

= 0.107/100 × 100 = 0.107 %

Answer:

$376.88

Step-by-step explanation:

11.25 x 33.5= 376.875.  So round up 376.88

25 = 5*5 and 9 = 3*3, which we can exploit to write

[tex]25^x-9^y=(5^2)^x-(3^2)^y=5^{2x}-3^{2y}=(5^x)^2-(3^y)^2[/tex]

so that this expression is actually a difference of squares. We can factorize this to get

[tex](5^x-3^y)(5^x+3^y)=18[/tex]

and given that [tex]5^x-3^y=3[/tex], we divide both sides by this to get

[tex]5^x+3^y=\dfrac{18}3=\boxed{6}[/tex]

Answer:

10 ft

Step-by-step explanation:

Square root of 100 = 10

Answer:

10 feet

Step-by-step explanation:

To find the length of a square side using the area, what you need to do is find the square root of the area because a square area is the side length squared soooo.

[tex]\sqrt{100} =10[/tex]

Answer:

For a the answer is 1/20 or 5%. For b the answer is 6/20 or 30%.

Step-by-step explanation:

a) There are 20 spots the dart can land on. To land on one specific spot, it would be 1/20. 1 spot out of 20 spots.

b) There are 20 spots the dart can land on. To land on any of the 6 spots, it would be 6/20. 6 spots out of 20 spots.

Answer:

C

Step-by-step explanation:

A patio=(x+15)*(x+10)

A bench=5*1=5

A painted=A patio-A bench

A painted=(x+15)*(x+10)-5

thus, the answer is C

The painted area is [tex]a=(x+15)(x+10)-5[/tex]. So, option C is correct.

Important information:

Area of a rectangle is:

[tex]A=Length \times Width[/tex]

Area of rectangular patio is:

[tex]A_1=(x+15)(x+10)[/tex]

Area of bench is:

[tex]A_2=5\times 1[/tex]

[tex]A_2=5[/tex]

The painting area is:

[tex]a=A_1-A_2[/tex]

[tex]a=(x+15)(x+10)-5[/tex]

Therefore, the correct option is C.

Find out more about 'Area of rectangle' here:

https://brainly.com/question/3133832

Answer:

D. m/B=20, m/ABC=70

Step-by-step explanation:

Answer:

[tex]12\sqrt{2}[/tex]

Step-by-step explanation:

The formula for diagonal of the square:

[tex]d=\sqrt{2} a[/tex]

[tex]d=\sqrt{2} \times 12[/tex]

Answer:

2,000

20,000 *10 /100

this is the answer and this is how to solve it

Answer:

[tex]$\text{P(Choose Cab Once)}=\frac{4}{9} $[/tex]

Step-by-step explanation:

In the morning Elizabeth has three transportation options to work.

It is [tex]$\frac{1}{3} $[/tex] :

In the evening Elizabeth has the same three transportation options to go home.

It is [tex]$\frac{1}{3} $[/tex] again.

But if we consider that she will take the cab once, the options will change to [tex]$\frac{2}{3} $[/tex] because now she can choose 2 options out of 3.

[tex]$\text{P(no cab) }= \frac{2}{3} $[/tex]

In order to use the cab once, we have two options:

She will use the cab in the morning or she will use the cab in the evening:

First route (cab in the morning):

[tex]$\text{Route 1}=\text{P(Choose Cab) } \cdot \text{P(Choose another one)} $[/tex]

[tex]$\frac{1}{3} \cdot \frac{2}{3} $[/tex]

Second route (cab in the evening):

[tex]$\text{Rote 2}=\text{P(Choose another one) } \cdot \text{P(Choose Cab)} $[/tex]

[tex]$\frac{1}{3} \cdot \frac{2}{3} $[/tex]

We have two routes, so

[tex]\text{P(Choose Cab Once)}=\text{Route 1}+\text{Route 2}[/tex]

[tex]$\text{P(Choose Cab Once)}=\frac{1}{3} \cdot \frac{2}{3} +\frac{1}{3} \cdot \frac{2}{3} $[/tex]

[tex]$\text{P(Choose Cab Once)}=\frac{2}{9} \cdot \frac{2}{9} $[/tex]

[tex]$\text{P(Choose Cab Once)}=\frac{4}{9} $[/tex]