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Scrat [10]
3 years ago
15

Which monomial is a perfect cube? 16x6 27x8 32x12 64x6

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
5 0
16x16 is the correct Answer
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What is sin 78° rounded to the nearest hundredth
e-lub [12.9K]
Use a calculator. The sine of 78 degrees is .98.
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3 years ago
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Find the exact length of the curve. y2 = 4(x + 1)3, 0 ≤ x ≤ 1, y > 0
mylen [45]
We can find this using the formula: L= ∫√1+ (y')² dx

First we want to solve for y by taking the 1/2 power of both sides:

y=(4(x+1)³)^1/2
y=2(x+1)^3/2

Now, we can take the derivative using the chain rule:

y'=3(x+1)^1/2

We can then square this, so it can be plugged directly into the formula:

(y')²=(3√x+1)²
<span>(y')²=9(x+1)
</span>(y')²=9x+9

We can then plug this into the formula:

L= ∫√1+9x+9 dx *I can't type in the bounds directly on the integral, but the upper bound is 1 and the lower bound is 0
L= ∫(9x+10)^1/2 dx *use u-substitution to solve
L= ∫u^1/2 (du/9)
L= 1/9 ∫u^1/2 du
L= 1/9[(2/3)u^3/2]
L= 2/27 [(9x+10)^3/2] *upper bound is 1 and lower bound is 0
L= 2/27 [19^3/2-10^3/2]
L= 2/27 [√6859 - √1000]
L=3.792318765

The length of the curve is 2/27 [√6859 - √1000] or <span>3.792318765 </span>units.
6 0
3 years ago
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with dia
Sav [38]

Answer:

10.12 m^{3}

Step-by-step explanation:

Given:

  • 0.07 cm thick = 0.007m and it is dr (the change in radius)

As we know that, the volume of a hemispherical dome with diameter 48 m is:

  • V = \frac{2}{3} πr^{3}

Take the derivative of V we have:

\frac{dV}{dr} = 2πr^{2}  

<=> dV = 2πr^{2}*dr

<=> dV = 2π*48^{2} *0.0007 = 10.12 m^{3}

Hope it will find you well.

6 0
3 years ago
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The price of a gallon of unleaded gas was $2.81 yesterday l. Today, the price rose to $2.88. Find the percentage increase
Allisa [31]

Answer:

7%

Step-by-step explanation:

4 0
3 years ago
the mean cost of domestic airfares is RS 385 per ticket. Airfares were based on the total ticket value, which consisted of the p
Vladimir [108]

Answer: 0.0668

Step-by-step explanation:

Given the following :

Mean (m) Cost = RS385

Standard deviation (s) = RS110

Assume a normal distribution, Probability that domestic airfare is RS550 or more?

P(x > 550)

Find the z - score

Z - score = (x - m) / s

Where x = 550

Z = (550 - 385) / 110

Z = 165 / 110 = 1.5

P(Z > 1.5) = 1 - P(Z ≤1.5)

Using the z table : 1.5 = 0.9332

Therefore,

1 - P(Z ≤1.5) = 1 - 0.9332 = 0.0668

P(x > 550) = 0.0668

7 0
3 years ago
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