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3 years ago

Tammy is reading a book that that is 237 pages long

Mathematics

1 answer:

vlabodo [156]3 years ago

5 0

Answer:

what's the question

Step-by-step explanation:

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Estimate the sum Sn of the series whose partial sums are graphed above.

san4es73 [151]

Answer:

C. 15

Step-by-step explanation:

Edge 2021

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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

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

7 0

3 years ago

Georgwent to a store and bought five items each item cost the same she spent 40 how much did each item cost

Alinara [238K]

Answer:

2+2 is 4 minus 1 is 3.

Step-by-step explanation:

Think about the question, you can't say that i am wong.

3 0

3 years ago

If sin square theta = 0.75, then cos =

sergeinik [125]

Answer:

$\cos\theta=\pm0.5$

Step-by-step explanation:

Given:

$\sin^2\theta=0.75$

To find $\cos\theta$

Using trigonometric relations for sums and differences of squares of the ratios.

We know:

$\sin^2\theta+\cos^2\theta =1$

Plugging in $\sin^2\theta=0.75$ in the above relation.

$0.75+\cos^2\theta =1$

Subtracting both sides by 0.75.

$0.75+\cos^2\theta-0.75 =1-0.75$

$\cos^2\theta =0.25$

Taking square root both sides.

$\sqrt{\cos^2\theta} =\sqrt{0.25}$

∴ $\cos\theta=\pm0.5$ (Answer)

6 0

3 years ago

You are biking to the park. After 6 minutes, 40% of the distance still needs traveled. How long does it take to bike to the park

My name is Ann [436]

It takes 10 minute to bike to the park
because in each minute it will take 10% percent for biking
$\frac{60}{100} = \frac{6}{ x} \\ x = \frac{100 \times 6}{60} = \frac{600}{60} = 10$

3 0

4 years ago