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kipiarov [429]
3 years ago
13

What is the derivative of 2te^-t

Mathematics
1 answer:
Sveta_85 [38]3 years ago
6 0
(2te^{-t})'=(2t)'e^{-t}+2t(e^{-t})'=2e^{-t}+2t(-e^{-t})=2e^{-t}-2te^{-t}
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On a certain hot​ summer's day, 477 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for ad
Akimi4 [234]

Answer:

212 children, and 265 adults

Step-by-step explanation:

To find the number of children and adults, we can set up a systems of equations.

x= number of children

y= number of adults

Equation 1: Price

1.50x+2.25y=914.25

Equation 2: Total number of people

x+y=477

Now, let's solve the equation using substitution.

Rearrange the second equation to solve for one variable.

x+y=477

x=477-y

Now plug x equals into the first equation, and solve for y.

1.50x+2.25y=914.25

1.50(477-y)+2.25y=914.25

715.5-1.50y+2.25y=914.25

715.5+0.75y=914.25

0.75y=198.75

y=265

We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.

x+y=477

x+265=477

x=212

7 0
2 years ago
Alec ate lunch at a restaurant. The bill came to $87. If he left an 18% tip, how much was the tip?
Monica [59]

Answer:

$87 x .18 = $15.66

Tip = $15.66

5 0
3 years ago
To the nearest hundredth of a second, how much time does it take a car to travel 50 ft from a stop at a constant acceleration of
Genrish500 [490]

Answer:

Turkey

Step-by-step explanation:

6 0
3 years ago
192 = 3w^2 solve using square root
exis [7]

Answer:

W=8

Step-by-step explanation:

First you divide both sides by 3 then you square root both sides getting 8

192/3=3w^2/3

64=w^2

w=8

6 0
3 years ago
A particular sound wave can be graphed using the function y = 1 sin 2x y = 1 sin 2 x . Find the amplitude of the function.
alexira [117]

<u>Answer</u>

1

<u>Explanation</u>

The general equation of a wave is ;

y = a sin(kX+Ф)

Where a represent the amplitude, 360/k represent the period of the wave and Ф represent the phase angle.

∴ In the equation y = 1 sin 2x,

Amplitude = 1

4 0
3 years ago
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