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Lina20 [59]
2 years ago
11

What is the simplest radical form of the expression? (8x^5y^3)^(2/3)​

Mathematics
1 answer:
allochka39001 [22]2 years ago
5 0

Step-by-step explanation:

(8x⁵y³)^(2/3)

= 8^(2/3)×(x^(5×2/3))×(y^(3×2/3))

= 4×x^(10/3)×y^(2)

= 4y²(³√x¹⁰)

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Scientists modeled the intensity of the sun, I, as a function of the number of hours since 6:00 a.m., h, using the
MAVERICK [17]

The functions are illustrations of composite functions.

<em>The soil temperature at 2:00pm is 67</em>

The given parameters are:

\mathbf{I(h) =\frac{12h - h^2}{36}} ---- the function for sun intensity

\mathbf{T(I) =\sqrt{5000I}} -- the function for temperature

At 2:00pm, the value of h (number of hours) is:

\mathbf{h = 2:00pm - 6:00am}

\mathbf{h = 8}

Substitute 8 for h in \mathbf{I(h) =\frac{12h - h^2}{36}}, to calculate the sun intensity

\mathbf{I(8) =\frac{12 \times 8 - 8^2}{36}}

\mathbf{I(8) =\frac{32}{36}}

\mathbf{I(8) =\frac{8}{9}}

Substitute 8/9 for I in \mathbf{T(I) =\sqrt{5000I}}, to calculate the temperature of the soil

\mathbf{T(8/9) =\sqrt{5000 \times 8/9}}

\mathbf{T(8/9) =\sqrt{4444.44}}

\mathbf{T(8/9) =66.67}

Approximate

\mathbf{T(8/9) =67}

Hence, the soil temperature at 2:00pm is 67

Read more about composite functions at:

brainly.com/question/20379727

5 0
2 years ago
Can someone help me figure out this
QveST [7]

Answer:

YES

Step-by-step explanation:

The criterion for formation of a triangle is that the sum of any 2 sides should be greater than or equal to the third side

So, we will test it for all 3 sides

7.4 + 12.5 ≥ 19.9

TRUE

12.5 + 19.9 ≥ 7.4

TRUE

7.4 + 19.9 ≥ 12.5

TRUE

Therefore, the segments with the sides: 7.4 , 12.5 and 19.9 do form a triangle

4 0
3 years ago
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alukav5142 [94]

Answer:

what is this

Step-by-step explanation:

4 0
3 years ago
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What is the mode for the following set of numbers 1,1,2,2,2,3,3,4
aleksklad [387]
Mode = 2
hope it helps
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5 0
3 years ago
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Chandra has $36.25 in dimes and quarters If she has 250 coins in total, hwo many
vladimir2022 [97]

Answer:

175 dimes and 75 quarters

Step-by-step explanation:

Make a system of equations, where d is the number of dimes and q is the number of quarters:

d + q = 250

0.1d + 0.25q = 36.25

Solve by elimination by multiplying the top equation by -0.1:

-0.1d - 0.1q = -25

0.1d + 0.25q = 36.25

0.15q = 11.25

q = 75

Then, plug in 75 as q into one of the equations to solve for d:

d + q = 250

d + 75 = 250

d = 175

So, there are 175 dimes and 75 quarters

7 0
3 years ago
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