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solmaris [256]
3 years ago
10

The function f(x)=1+1.5ln(x+1) models the average number of free-throws a basketball player can make consecutively during practi

ce as a function of time, where x is the number of consecutive days the basketball player has practiced for two hours. After how many days of practice can the basketball player make an average of 10 consecutive free throws?
Mathematics
1 answer:
UNO [17]3 years ago
8 0

Answer:

402 days.

Step-by-step explanation:

f(x)=1+1.5ln(x+1)

When f() = 10 we have:

10 = 1 + 1.5ln (x + 1)

ln (x + 1) = (10-1) / 1.5 = 6

x + 1 = e^6

x = e^6 - 1 = 402.4.

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You finally get an allowance! You put $2.00 away in January, $4.00 away in February, $8.00 away in March, $16.00 away in April a
LekaFEV [45]

Answer:

$8190

Step-by-step explanation:

So we know that were putting away $2 each month from  our allowance.

Jan-$2

Feb-$4

March-$8

April-$16

Ok so we already put away 4 months of our allowance from 12. So we need 8 more months to count how much.

So lets add: 2 + 4 + 8 + 16=30

Now we need to figure out how much in May and so on.

May- 16x2=32

June-32x2=64

July-64x2=128

August-128 x 2=256

September-256 x 2=512

October-512 x 2=1024

November-1024 x 2=2048

December-2048 x 2=4096

In total to add:

2 + 4 + 8 + 16 + 32 +64 + 128 + 256 + 512 + 1024 + 2048 + 4096 = 8190

Hope this helps :)

3 0
3 years ago
Find the x-intercept and the y-intercept of the graph of the equation 1/3x + 9y = 15. Then graph the equation.
AleksAgata [21]

Answer: the x intercept is (45,0) and the y intercept is (0,5/3)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The following angles are supplementary find the missing angle measure
nekit [7.7K]

Answer:

<em>x = 62°, y = 103°</em>

Step-by-step explanation:

<u>Supplementary Angles</u>

Two angles are called <em>supplementary</em> when their measures add up to 180 degrees.

The image shows two pairs of supplementary angles. We have to find the value of the unknown variable.

The first drawing shows supplementary angles x and 118°. They must satisfy the equation:

x + 118° = 180°

Subtracting 118°:

x = 180° - 118°

x = 62°

From the second drawing, we set up the equation:

y + 77° = 180°

Subtracting 77°:

y = 180° - 77°

y = 103°

6 0
3 years ago
A cylinder has a radius of 6 inches and a height of 2 feet. Which of the following should be done first in order to find the vol
zvonat [6]
The significant components, the radius and the height, are in inches and feet respectively, you'd need to convert them both to the same unit, whichever it may be, meters or feet or inches or millimeters, so long is the same, then use the volume of a cylinder equation to get it.
7 0
4 years ago
Question: "Solve for volume and round to the nearest tenth, if necessary use 3.14."​
ira [324]
When I solved it I got 26648.8
3 0
3 years ago
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