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GuDViN [60]
2 years ago
7

Mike forgot to replace the cap on a bottle of room freshener. The room freshener began to evaporate at the rate of 15% per day.

If the original amount of room freshener in the bottle was 40 grams, which of the following graphs best represents the amount of room freshener f(x) that would remain in the bottle after x days?
graph of function f of x equals 30 multiplied by 0.88 to the power of x

graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis

graph of function f of x equals 50 multiplied by 0.82 to the power of x

graph of exponential function going down from left to right in quadrant 1 through the point 0, 4 and approaching the x axis
Mathematics
2 answers:
aleksandrvk [35]2 years ago
8 0
Given:
bottle of room freshener = 40 grams
evaporates at the rate of 15% per day.

f(x) = 40(.85)^x

x    y
1   34
2   28.9
3   24.57
4   20.88
5   17.75

<span>graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis</span>
Juli2301 [7.4K]2 years ago
6 0

Answer:going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis

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Answer:

A. $3992.50

Step-by-step explanation:

Credit line - $8,000.00

Summary

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Available credit= credit line - new balance = $8000 - $4007.50= $3992.50

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2 years ago
Susan keeps track of the number of tickets sold for each play presented at the community theater. within how many standard devia
Citrus2011 [14]
The Mean = (135 + 71 + 69 + 80 + 158 + 152 + 161 + 96 + 122 + 118 + 87 + 85 ) : 12 = 111.166
The smallest value : 69
The greatest value : 161
s² = ∑( x i - x )² / ( n - 1 )
s² = ( 568.274 + 1613.3 + 1777.97 + 971.32 + 2193.42 + 1667.4 + +2483.42 + 230 + 117.38 + 46.7 + 584 + 684.66 )  : 11
s² = 1176.1676
s = √s² = √1176.1676
s ( Standard deviation ) = 34.295
All the values fall within 2 standard deviations:
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2 years ago
Read 2 more answers
A pizzeria will only deliver to locations within a certain distance of the pizzeria. The delivery region has an area of 36pi squ
shusha [124]

No

Step-by-step explanation:

she lives 10 miles away and the pizzeria only has a 6 mile radius.

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2 years ago
In quadrilateral RSTU, RS = 60 mm, ST = 60 mm, TU = 112 mm, and UR = 112 mm.
lesya692 [45]

Answer:

A. factor 4

Step-by-step explanation:

Just choose any side of the original one e.g 60mm and divide it by the lenght of the same side of the new one. In A. this gives you 60mm/15mm = 4. Then you can multiply the other lengths with that factor and if the result is equal to the sides of your original one you found the solution.

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marta [7]

Answer:

Step-by-step explanation:

The position function is

s(t)=-2.7t^2+50t+6.5 and if we are looking for the time(s) that the ball is 10 feet above the surface of the moon, we sub in a 10 for s(t) and solve for t:

10=-2.7t^2+50t+6.5 and

0=-2.7t^2+50t-3.5 and factor that however you are currently factoring quadratics in class to get

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There are 2 times that the ball passes 10 feet above the surface of the moon, once going up (.07 sec) and then again coming down (18.45 sec).

For part B, we are looking for the time that the ball lands on the surface of the moon. Set the height equal to 0 because the height of something ON the ground is 0:

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t = -.129 sec and t = 18.65 sec

Since time can NEVER be negative, we know that it takes 18.65 seconds after launch for the ball to land on the surface of the moon.

4 0
1 year ago
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