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3 years ago

13

What is the product?

1 answer:

pochemuha2 years ago

3 0

A- 1/2
1/4 x 3 2/3
Cross out the 3 and you get
1/4 x 2 = 1/2

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Yellow Cab Taxi charges a $1.75 flat rate in addition to $.55 per mile. Katie has no more than $10 to spend on a ride. How many

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2 years ago

Expanding log functions<br> ㏒3 (3(x+1)(x+2))

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3 years ago

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2 years ago

**A rock dropped from a 100 foot tower.

mars1129 [50]

Answer:

2.83 s

Step-by-step explanation:

We are given that

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When a rock reached the ground then h(t)=0

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$16t^2-10t-100=0$

Using quadratic formula

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$t=\frac{10\pm\sqrt{(-10)^2-4\times 16\times (-100)}}{2(16)}$

$t=\frac{10\pm\sqrt{100+6400}}{32}$

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$t=\frac{10-\sqrt{6500}}{32}=-2.2$

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8 0

3 years ago

Find f. f ″(x) = x^−2, x > 0, f(1) = 0, f(6) = 0

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$f''(x) = -\dfrac1{x^2}$

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$f(x) = \displaystyle \int \left(\frac1x + C_1\right) \, dx = \ln|x| + C_1x + C_2$

From the initial conditions, we find

$f(1) = \ln|1| + C_1 + C_2 = 0 \implies C_1 + C_2 = 0$

$f(6) = \ln|6| + 6C_1 + C_2 = 0 \implies 6C_1 + C_2 = -\ln(6)$

Eliminating $C_2$ , we get

$(C_1 + C_2) - (6C_1 + C_2) = 0 - (-\ln(6))$

$-5C_1 = \ln(6)$

$C_1 = -\dfrac{\ln(6)}5 = -\ln\left(\sqrt[5]{6}\right) \implies C_2 = \ln\left(\sqrt[5]{6}\right)$

Then

$\boxed{f(x) = \ln|x| - \ln\left(\sqrt[5]{6}\right)\,x + \ln\left(\sqrt[5]{6}\right)}$

3 0

1 year ago