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avanturin [10]
3 years ago
5

Two functions f and g are given. Show that the growth rate of the linear function is constant and that the relative growth rate

of the exponential function is constant. ​f(t)equals160plus8.5​t, ​g(t)equals160 e Superscript t divided by 8 What is the growth rate of the linear​ function
Mathematics
1 answer:
joja [24]3 years ago
6 0

Answer:

  linear function growth rate: 8.5

Step-by-step explanation:

The growth rate of the linear function is the coefficient of t: 8.5. (It is a constant.)

__

The growth rate of g(t) is its derivative: g'(t) = (1/8)(160e^(t/8)) = 20e^(t/8). Then the relative growth rate is ...

  g'(t)/g(t) = (20e^(t/8))/(160e^(t/8)) = 20/160 = 1/8

It is a constant.

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Artyom0805 [142]
1).  The inequality says "height is 54 or more".
Any height that is less than 54 does NOT qualify.

2).  The sign says  "Maximum total weight 800 pounds".
Any weight that's 800 pounds or less is OK.

3).  Paula has scored 21, 25, and 15 points.
. . . . . they're NOT all greater than 21
. . . . . they ARE all 25 or less
. . . . . they ARE all less than 30
. . . . . they ARE all 10 or more .

4).  First, write down the number of cans that
each student collected, but arrange them in order.
Then check each choice.
A).  misses the highest 3 students completely
B).  includes everybody
C).  misses the lowest 3 students completely
D).  OK, but the first and last intervals aren't needed,
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3 0
4 years ago
Jan's gas tank is nearly empty, at 1/12 full. she doesn't have enough cash to fill the tank, she adds enough gas to reach 2/3 fu
Ira Lisetskai [31]

Answer:

7/12

Step-by-step explanation:

well first you have subtract 2/3 from 1/12 how you do that is that you have to change the denominator into twelve by multiplying 3 times 4 and 2 times for which you get 8/12 them subtract 8/12 from 1/12 which is 7/12

8 0
4 years ago
Read 2 more answers
The relationship between the number of $12 DVDs you buy and the total cost. I need to know if it is linear or solid.
11111nata11111 [884]

Answer:

I'm a bit confused with your question.

Maybe this guy Sayurki can help ! He said this - "Set of unconnected points because you can't buy a part of a DVD in a line there are infinite points and when buying something such as a DVD to reach that infinite u need to be able to buy part of a DVD which technically isn't possible so that why is unconnected points u buy a full DVD not part "

Step-by-step explanation:

6 0
3 years ago
A cylinder shaped can needs to be constructed to hold 300 cubic centimeters of soup. The material for the sides of the can costs
oksano4ka [1.4K]

Answer:

Step-by-step explanation:

Cost = Area Cylinder body* cost * 0.03 cm^3 + Area of 2 lids*cost 0.06 of cm^3

Volume = 300 cm^3

Volume = Base *h  

Volume = pi * r^2 * h = 300

h = 300/(pi * r^2 )

Area material =  2*pi * r * h * 0.03 + 2 pi r^2 * 0.06

Area material = 0.06*pi * r * 300/(pi* r^2) + 0.12 * pi * r^2

dmaterial/dr = (-1)18 r^-2 + 0.12 pi * 2*r

dmaterial/dr = -18 r^-2 + 0.24 pi * r

The minimum occurs when the right side = 0

18/r^2 = 0.24 *pi r

18 = 0.24*pi * r^3

18/(0.24 * pi) = r^3

23.89 = r^3

cube root (23.89) = cuberoot(r^3)

r = 2.88 cm

h = 300/pi * r^2

h = 300/(3.14 * 2.88^2)

h = 11.52

This isn't much of a check but we can try it.

Volume = 3.14 * 2.88^2 * 11.52

Volume = 302.01 which considering all the rounding is pretty close.

Here's a graph that confirms my answer.

3 0
3 years ago
13y=187^2-174^2, find y
DerKrebs [107]

Answer:

y=361

Step-by-step explanation:

187^2-174^2 = 4693

4693/13 = 361

13 x 361 = 4693

8 0
3 years ago
Read 2 more answers
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