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Goryan [66]
3 years ago
10

Booker owns 85 video games he has 3 shelves to put the games on each shelf can hold 40 video games how many more video games doe

s he have room for
Mathematics
1 answer:
sergey [27]3 years ago
3 0
5 because 

  85
- 40
 ___
  45
- 40
____
  05

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The rate of change in sales for Garmin from 2008 through 2013 can be modeled by
Zina [86]

Answer:

a) The model for the sales of Garmin is represented by S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112.

b) The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

Step-by-step explanation:

a) The model for the sales of Garmin is obtained by integration:

S(t) = -0.0972\int {t^{2}} \, dt + 2.136\int {t}\,dt -11.9 \int\,dt

S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + C (1)

Where C is the integration constant.

If we know that t = 9 and S(t) = 2.9, then the model for the sales of Garmin is:

-\frac{81}{2500} \cdot 9^{3} + \frac{267}{250}\cdot 9^{2}-11.9\cdot (9) + C = 2.9

C = 47.112

The model for the sales of Garmin is represented by S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112.

b) The average sales of the Garmin from 2008 through 2013 (\bar{S}) is determined by the integral form of the definition of average, this is:

\bar{S} = \frac{1}{13 - 8} \cdot \int\limits^{13}_{8} {S(t)} \, dt (2)

\bar S = \frac{1}{5}\cdot \int\limits^{13}_{8} {\left[-\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2}-11.9\cdot t + 47.112  \right]} \, dt

\bar S = \frac{1}{5}\cdot \left[-\frac{81}{10000}\cdot (13^{4}-8^{4}) +\frac{89}{250}\cdot (13^{3}-8^{3}) -\frac{119}{20}\cdot (13^{2}-8^{2}) +47.112\cdot (13-8)   \right]\bar{S} = \frac{1}{5}\cdot (-198.167+599.86-624.75+235.56)

\bar{S} = 2.5

The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

7 0
3 years ago
How many square numbers are there between 1,000 and 2,000? What is a square number?
Tanzania [10]

there are 12 square numbers between 1,000 and 2,000.

starts off at 32 bc 32^2=1024

ends at 44 bc 44^2=1936

5 0
3 years ago
Find the distance across the pond I’M MAKJNG THIS 15 POINTS
Vesnalui [34]

Answer:

Step-by-step explanation:

X/25=16/x

Cross multiply to get

X^2=square root 400

Un square to get 20

It’s 20 meters

4 0
3 years ago
IM STUCK ON THIS QUESTION RIGHT NOW OFFERING 10 POINTS plsssss don't guess for points​
garik1379 [7]

Answer:

56

Step-by-step explanation:

So you just need to find 7 + what is equal to 63. To find this we have to do inverse operation, which means the opposite operation. So, we do 63-7 which is equal to 56. Therefore, the solution to the equation, or x is equal to 56 (C).

Hope this helps !!

-Ketifa

5 0
3 years ago
If x= 5 and y= 2, then xy =
seropon [69]

Answer:

You cant find that out. X and Y are like two different animals in a zoo, and XY is a whole other animal, you cant combine two animals in the same cage, so X and Y cant turn into XY. You could do:

X = 5

Y = 2

X + Y = ?

In this case the answer would be seven.

8 0
3 years ago
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