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3 years ago

A fox can run at a speed of 42 miles per hour. How many feet per hour is this? 1 mile=5280 feet

1 answer:

8 0

(42miles/hours)*(1 hr./3600seconds)*(5280ft./1 mile)
===============61.6ft. per second
hope this helps and if it does, plz mark me as brainiest! HAve an amazing day/night! ^-^

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Find the area of the composite figure. Don't forget to use the word "square" and then the given units in your answer.

fgiga [73]

(11.5 x 34) + (16 x 16) = 256.5 meters squared :)

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2 years ago

Which expressions are equivelant ti the one below? 16^x/4^x

Jlenok [28]

Answer:

$4^{x}$

Step-by-step explanation:

$\frac{16^x}{4^x}$ Divide the fraction. Since both have an exponent of x, the answer has an exponent of x.

$4^{x}$

If this answer is correct, please make me Brainliest!

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3 years ago

The following integral requires a preliminary step such as long division or a change of variables before using the method of par

shtirl [24]

Division yields

$\dfrac{x^4+7}{x^3+2x} = x-\dfrac{2x^2-7}{x^3+2x}$

Now for partial fractions: you're looking for constants a, b, and c such that

$\dfrac{2x^2-7}{x(x^2+2)} = \dfrac ax + \dfrac{bx+c}{x^2+2}$

$\implies 2x^2 - 7 = a(x^2+2) + (bx+c)x = (a+b)x^2+cx + 2a$

which gives a + b = 2, c = 0, and 2a = -7, so that a = -7/2 and b = 11/2. Then

$\dfrac{2x^2-7}{x(x^2+2)} = -\dfrac7{2x} + \dfrac{11x}{2(x^2+2)}$

Now, in the integral we get

$\displaystyle\int\frac{x^4+7}{x^3+2x}\,\mathrm dx = \int\left(x+\frac7{2x} - \frac{11x}{2(x^2+2)}\right)\,\mathrm dx$

The first two terms are trivial to integrate. For the third, substitute y = x ² + 2 and dy = 2x dx to get

$\displaystyle \int x\,\mathrm dx + \frac72\int\frac{\mathrm dx}x - \frac{11}4 \int\frac{\mathrm dy}y \\\\ =\displaystyle \frac{x^2}2+\frac72\ln|x|-\frac{11}4\ln|y| + C \\\\ =\displaystyle \boxed{\frac{x^2}2 + \frac72\ln|x| - \frac{11}4 \ln(x^2+2) + C}$

7 0

2 years ago

18°+2, what is the value of y?

Travka [436]

Answer:

Were is y located at?

Step-by-step explanation:

5 0

3 years ago

Put in simplest form 8/15 × 5/6

algol13

8/15 x 5/6
•multiply across the numerator and denominator.

= 40/90
• then find a common factor that will go into both the numerator and denominator equally.

Common factor: 5

= 8/18
•there is another common factor, which is 2

Simplified:

=4/9

6 0

3 years ago