4 years ago

3.

Mathematics

1 answer:

steposvetlana [31]4 years ago

6 0

Answer:

Step-by-step explanation:

range?

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(4 questions, 25 points) I know it's a lot, but I really need to get this done! Thank you so much!

motikmotik

Answer:

wow that is a lot

Step-by-step explanation:

maybe you should send it in bits not all at once

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4 years ago

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Hello, I have been needing help for this problem for awhile. Can someone help me please?

-Dominant- [34]

Answer:

x = 6

Step-by-step explanation:

$x = \sqrt{10 {}^{2} - 8 {}^{2} }$

$x = \sqrt{100 - 64}$

$x = \sqrt{36}$

$x = 6$

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3 years ago

A spinner has two sections of equal size that are numbered two and three. The spinner will be spun three times. What is the prob

Marrrta [24]

Answer:

the answer would be zero because 7 isn't on the board

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3 years ago

Find the length of the curve x=e^t e^{-t},\;\;y=5-2t,\;\;0 \le t \le 3.

Oksana_A [137]

$\begin{cases}x(t)=e^t+e^{-t}\\y(t)=5-2t\end{cases}\implies\begin{cases}x'(t)=e^t-e^{-t}\\y'(t)=-2\end{cases}$

The length of the curve is given by the integral

$\displaystyle\int_0^3\sqrt{(e^t-e^{-t})^2+(-2)^2}\,\mathrm dt$

Expand and rewrite the integrand:

$(e^t-e^{-t})^2+(-2)^2=e^{2t}+2+e^{-2t}$
$=e^{-2t}(e^{4t}+2e^{2t}+1)$
$=e^{-2t}(e^{2t}+1)^2$
$\implies\sqrt{(e^t-e^{-t})^2+(-2)^2}=\dfrac{e^{2t}+1}{e^t}$

Now the integral is

$\displaystyle\int_0^3\dfrac{e^{2t}+1}{e^t}\,\mathrm dt=\int_0^3(e^t+e^{-t})\,\mathrm dt$
$=2\displaystyle\int_0^3\cosh t\,\mathrm dt$
$=2\sinh t\bigg|_{t=0}^{t=3}$
$=2\sinh 3$

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3 years ago

Write an equivalent fraction for 1/4

Dominik [7]

Answer:

equivalent fraction: 100/400; decimal equivalent: 0.25

Step-by-step explanation:

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