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RideAnS [48]
3 years ago
15

Which is equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript x?

Mathematics
1 answer:
sergeinik [125]3 years ago
8 0

Solving  RootIndex 3 StartRoot 8 EndRoot Superscript x we get =2^x

Step-by-step explanation:

We need to find equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript x

Writing in mathematical form:

(\sqrt[3]{8})^x

Solving:

We know 8= 2x2x2= 2^3

and \sqrt[3]{x}=x^{\frac{1}{3}}

Applying these rules:

=((2^3)^{\frac{1}{3}})^x

=(2^{\frac{3}{3}})^x\\

=2^x

So, solving  RootIndex 3 StartRoot 8 EndRoot Superscript x we get =2^x

Keywords: Radical Expression

Learn more about Radical Expression at:

  • brainly.com/question/7153188
  • brainly.com/question/10534381

#learnwithBrainly

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) A watershed experiences a rainfall of 8 inches. What is the runoff volume when the curve number is 80
finlep [7]

Answer:

5.625 inches

Step-by-step explanation:

Given that:

Total Rainfall in inches (P) = 8 inches

The runoff volume (in inches) Q = ???

The curve number CN = 80

Recall that: The runoff volume can be calculated by using the formula:

Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}    for P > 0.2S

Q = 0                     for P < 0.2S

S = \dfrac{1000}{CN}-10

where:

curve number CN = 80

S = \dfrac{1000}{80}-10

S = 2.5 inches

Since the rainfall (P) is greater than 0.25

Then:

Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}  

Q = \dfrac{(8-0.2(2.5))^2}{(8+0.8(2.5))}

Q = \dfrac{(8-0.5)^2}{(8+2)}

Q = \dfrac{(7.5)^2}{(10)}

Q = \dfrac{(56.25)}{(10)}

Q = 5.625 inches

Thus, the runoff volume = 5.625 inches

4 0
3 years ago
Write the equation of the circle with center (7,-2) and radius square root 61. Please show your work!
Vladimir79 [104]
The equation of a circle is (x - h)^2 + (y - k)^2 = r^2
x and y are left alone in a circle equation, while h and k are the coordinates of the center.

Thus, our equation is (x - 7)^2 + (y + 2)^2 = 61
5 0
3 years ago
Solve 5x^2 = -30x - 65
dalvyx [7]

Answer:

+65=-30x-5x^2

+65=-35x

=-1.9

3 0
3 years ago
Find the 22nd term of the arithmetic sequence whose common difference is d =3 and whose first term is a_1=-20
Ivenika [448]
1,4,7,10,13,16,19,22,25,28,31,34,37,40,43,46,49,52,55,58,61,64,67,70,73,76,79,82,85,88,91,94,97,100

f(n) = 1 + 3(n-1) = 1 + 3n - 3 = 3n -2

f(22) = 3(22)-2 = 66-2 = 64
4 0
3 years ago
9. A company’s marginal cost function is where x is the number of units. Find the total cost of producing units 144 to 625.
Anettt [7]

Answer:

total cost is $2444

Step-by-step explanation:

A company’s marginal cost function MC= \frac{94}{\sqrt{x} } is where x is the number of units

Marginal cost function is the derivative of cost function

to find the total cost of producing units , take integral of marginal cost function

\int\limits ^{625}_{144}{\frac{94}{\sqrt{x} } } \, dx

94(2\sqrt{x} ) with intervals 144 to 625

now plug in the values

94(2\sqrt{625})-94(2\sqrt{144})=2444

total cost is $2444

5 0
3 years ago
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