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3 years ago

. A boat traveled 300 miles in 15 hours. What rate did the boat travel in miles per hour?

Mathematics

1 answer:

Gala2k [10]3 years ago

8 0

Answer:

Step-by-step explanation:

divide 300 by 15 and there's your answer

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Danessa needs to compare the area of one large circle with a diameter of 8 to the total area of 2 smaller circles with a diamete

BaLLatris [955]

Answer:

The answer is: 1, 2, and 6

Step-by-step explanation:

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3 years ago

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How do you simplify sin 4 theta using the double angle theory?

S_A_V [24]

Double angle formulae involve trigonometric functions of double angles and in order to get its value you must consider the following:
-derive the double angle formula from additional formula
-write the formula for the angle in alternative form
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-use the formula in the solution of trigonometric equations

And the answer would be 4sin(theta)cos(theta)cos(2theta)

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3 years ago

I need help please! asap

mihalych1998 [28]

Answer:

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Step-by-step explanation:

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2 years ago

Type the missing number in this sequence: 1, 2, 4, 8, , 32

vodka [1.7K]

Answer:

1,2,4,8,"16",32

Step-by-step explanation:

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3 years ago

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Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

seropon [69]

Answer:

$h'(x)=\frac{3r^{2}}{2\sqrt{r^3+5}}$

Step-by-step explanation:

1) The Fundamental Theorem of Calculus in its first part, shows us a reciprocal relationship between Derivatives and Integration

$g(x)=\int_{a}^{x}f(t)dt \:\:a\leqslant x\leqslant b$

2) In this case, we'll need to find the derivative applying the chain rule. As it follows:

$h(x)=\int_{a}^{x^{2}}\sqrt{5+r^{3}}\therefore h'(x)=\frac{\mathrm{d} }{\mathrm{d} x}\left (\int_{a}^{x^{2}}\sqrt{5+r^{3}}\right )\\h'(x)=\sqrt{5+r^{3}}\\Chain\:Rule:\\F'(x)=f'(g(x))*g'(x)\\h'=\sqrt{5+r^{3}}\Rightarrow h'(x)=\frac{1}{2}*(r^{3}+5)^{-\frac{1}{2}}*(3r^{2}+0)\Rightarrow h'(x)=\frac{3r^{2}}{2\sqrt{r^3+5}}$

3) To test it, just integrate:

$\int \frac{3r^{2}}{2\sqrt{r^3+5}}dr=\sqrt{r^{3}+5}+C$

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3 years ago