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erastovalidia [21]

3 years ago

9

A sweater was on sale at 40% off the regular price. Ella saved 20$ by buying the sweater on sale. What was the regular price of

the sweater?

1 answer:

barxatty [35]3 years ago

8 0

Answer:

the answer is $50 for the full price of the sweater

Step-by-step explanation:

if you know $20 is 40% what is 20% it is $10 and then multiple it by 5 because 20 times 5 is 100 and you get 50

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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

Evaluate the function for the given value.<br><br> f(-3) if f(x) = 4x 2 + 7x

Natasha_Volkova [10]

Answer:

x = 15

Step-by-step explanation:

f(x) = 4x² + 7x

= 4(-3)² + 7(-3)

= 36 + (-21)

= 15

3 0

4 years ago

Which table shows a proportional relationship between x and y?

Akimi4 [234]

Answer:

First one

Step-by-step explanation:

First choose because they are all multiply by 5

3 0

3 years ago

A right triangle has one angle that measure 40. What measure of the othe acute angle

butalik [34]

a right triangle has one angle that measures 90 degrees. that leaves 90 degrees for the other 2 angles

90 = 40 + other angle

subtract 40 from each side

50 = other angle

Answer = 50 degrees

3 0

3 years ago

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Calculate the distance point A is from the

HACTEHA [7]

Answer: The answer is A

Step-by-step explanation:

3 0

3 years ago