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Anni [7]
2 years ago
15

Graphing Natural Exponential Functions In Exercise, sketch the graph of the function.

Mathematics
1 answer:
strojnjashka [21]2 years ago
5 0

Answer:

Step-by-step explanation:

Graph:  f(x) = 1 - ex

You meant f(x) = 1 - e^x, where ^ represents exponentiation.

First, graph the parent function y = e^x.  The y-intercept of this graph is (0, 1), and the x-axis is the horizontal intercept.  The graph begins on the left in Quadrant 2 and continues upward in Quadrant 1.

Next, reflect this graph in the x-axis, due to the - sign in f(x) = 1 - e^x.  The y-intercept is (0, -1) and the horizontal asymptote is the x-axis.

Finally, translate the whole graph upward by 1 unit.

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The radius of a circular Frisbee is 9.8 centimeters. Using rounding to the nearest whole number, what is an estimate for the cir
makvit [3.9K]

Answer:

62

Step-by-step explanation:

6 0
3 years ago
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5
iris [78.8K]

Answer:

By the Empirical Rule, 99.7% of the students have grade point averages that are between 1.28 and 3.8.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 2.54

Standard deviation = 0.42.

Between 1.28 and 3.8?

1.28 = 2.54 - 3*0.42

So 1.28 is 3 standard deviations below the mean

3.8 = 2.54 + 3*0.42

So 3.8 is 3 standard deviations above the mean

By the Empirical Rule, 99.7% of the students have grade point averages that are between 1.28 and 3.8.

5 0
2 years ago
Read 2 more answers
Find the volume of the sphere. Give the answer in terms of pi and rounded to the nearest cubic foot.
Inessa05 [86]
Hi there!

The formula for the volume of a sphere is V = 4/3(pi)(r^3). Using this formula, we can plug in what we know and solve.

WORK:
V = 4/3(pi)(10^3)
V = 4/3(1000pi)
V = 4000pi/3 or 1333.3 pi
V also = 4188.8

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
3 0
3 years ago
Read 2 more answers
A tin has asquare base whose sides measures 32 cm .the vertical sides are 50cm high.cake mixture is poured into the tin and leve
zepelin [54]

Answer:

(a) V = 51200 cubic cm

(b) V' = 38912 cubic cm

(c) V'' = V - V' = 12288 cubic cm

Step-by-step explanation:

side of the square base, s = 32 cm

height, h = 50 cm

height of cake mixture, h' = 38 cm

(a) The capacity of the tin is the volume.  

Capacity of tin, V =  s x s x h = 32 x 32 x 50 = 51200 cubic cm

(b) The volume of the cake mixture is

V' =  s x s x h'

V' = 32 x 32 x 38 = 38912 cubic cm

(c) Volume of unoccupied space is

V'' = V - V' = 51200 - 38912 = 12288 cubic cm

6 0
2 years ago
Amara needs 4545 kilograms of meat to feed her 22 pet dragons each day. Each pet dragon eats the same amount of meat. How many k
max2010maxim [7]

Answer:

9090 kilograms

Step-by-step explanation:

To find the number of kilograms per dragon, we divide the amount of meat by the number of dragons.

4545/22  kilograms per dragon

Now we can multiply by the 44 dragon that she has.

4545/22 * 44 = 9090 kilograms

3 0
2 years ago
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