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4 years ago

Simplify -4 1/4 - (-9 1/2)

Mathematics

2 answers:

Andreas93 [3]4 years ago

7 0

The answer is D) 5 1/4.

kiruha [24]4 years ago

3 0

Answer:

the answer is 5 1/4

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3 years ago

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How many hundreds in 148305

Wittaler [7]

$148305:100=\dfrac{148305}{100}=1483.05\\\\Answer:\ In\ 148305\ is\ 1483\ hundreds$

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3 years ago

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What are the intercept(s) of ƒ(x) = x2?

IgorC [24]

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3 years ago

Disregarding wind resistance the distance a body falls from rest varies directly as th squares of the time it falls if a skydive

Firdavs [7]

Answer:

The skydiver will fall 1600 ft in 10 seconds.

Step-by-step explanation:

<u>Distance a body falls from rest varies directly as the squares of the time it falls </u>

Let distance = s

time = t

Therefore , s = k $\times t^{2}$

Given, the body falls 64 ft in 2 seconds.

Substituting in above equation,

64 = k $\times (2)^{2}$

64 = k $\times (4)$

k = $\frac{64}{4}$

k = 16 ft/ $s^{2}$

We have to find how much he will fall in 10 seconds.

s = k $\times t^{2}$

s = $16 \times 10^{2}$

s = $16 \times 100$

s = 1600 ft

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3 years ago

Whats the intrgral of <img src="https://tex.z-dn.net/?f=%20%5Cint%20%20%5Cfrac%7Bx%5E2%2Bx-3%7D%7B%28x%5E3%2Bx%5E2-4x-4%29%5E2%7

rosijanka [135]

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$

Notice that $x^3+x^2-4x-4=x^2(x+1)-4(x+1)=(x-2)(x+2)(x+1)$ . Decompose the integrand into partial fractions:

$\dfrac{x^2+x-3}{(x-2)^2(x+2)^2(x+1)^2}$
$=\dfrac1{3(x+1)}-\dfrac{11}{32(x+2)}-\dfrac1{3(x+1)^2}-\dfrac1{16(x+2)^2}+\dfrac1{96(x-2)}+\dfrac1{48(x-2)^2}$

Integrating term-by-term, you get

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$
$=-\dfrac1{48(x-2)}+\dfrac1{3(x+1)}+\dfrac1{16(x+2)}+\dfrac1{96}\ln|x-2|+\dfrac13\ln|x+1|-\dfrac{11}{32}\ln|x+2|+C$

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4 years ago