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Soloha48 [4]
3 years ago
12

The position of an object at time t is given by s(t) = -9 - 3t. Find the instantaneous velocity at t = 8 by finding the derivati

ve. 20 points
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
5 0

Answer:

-3

Step-by-step explanation

If s(t) is equal to -9 - 3t, its derivative is equal to -3 for all values of t. The instantaneous velocity is simply the derivative at that point, so it is -3.

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Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie. Choose the cost functio
daser333 [38]

Answer:

The cost function that represents this scenario is c(x) = 2 + 0.50x .

Option (b) is correct .

Step-by-step explanation:

As given

Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie.

if x equals the number of nights Laura has the movie.


Than the cost function that represents this scenario .

c(x) =  Flat fee + Cost for  x equals the number of nights Laura has the movie.


c(x) = 2 + x × 0.50

c(x) = 2 + 0.50x

Therefore the cost function that represents this scenario is c (x) = 2 + 0.50x .

Option (b) is correct .

8 0
3 years ago
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A hose fills a hot tub at a rate of 2.48 gallons per minute. How many hours will it take to fill a 269​-gallon hot​ tub?
never [62]

Answer:

1 hour 9 minutes

Step-by-step explanation:

7 0
3 years ago
A bike with an original price of $90 is discounted 40%. What is the sale price?
Mila [183]
So you do $90 times .40 because 40%=.40 then next you set up your problem

90x.40=36


In total the sales price is $36
5 0
3 years ago
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Sin (3pi/4) =_____ please help!!!
Jlenok [28]

Answer:

That is asking you to find the sine of (3/4) PI radians.

If you look at the attached graphic, you will see that (3/4) PI radians = 135 degrees

Going to this calculator, we see that the sine of 135 degrees is 0.70711

https://www.1728.org/trigcalc.htm

Step-by-step explanation:


5 0
3 years ago
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a rectangular room is three times as long as it is wide, and its perimeter is 80 meters. find the length of the room
Hoochie [10]
Let the width of the room be = x

Length of the room = 3x,  Since it is three times as wide

Perimeter = 80m

Perimeter = 2*(L + W) =  2*(3x + x)  = 80

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2*(4x)  = 80

8x  = 80     Divide both sides by 8

x = 80/8

x = 10,    But length = 3x,  = 3*10 = 30

Length = 30m
5 0
3 years ago
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