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3 years ago

Can you answer this please?

Mathematics

1 answer:

Nat2105 [25]3 years ago

7 0

Answer: 112.5 square units

Step-by-step explanation:

I think:

For the triangle:

1/2base(height) = 1/2(9)(7)= 31.5 sq. Units

For the small rectangle:

Length x width= 3 x 9 = 27 sq. Units

For the larger rectangle:

The length must be 16 - 7 - 3 = 6

So length x width = 6 x 9 = 54 sq units

Now add them together:

31.5 + 27 + 54 = 112.5 square units

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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

2 years ago

Please help asap will give brainliest

Ipatiy [6.2K]

Answer:

bhhujnejnj

Step-by-step explanation:

8 0

3 years ago

I need help with this question <br>-4 (2p+ 3) = -(p+1) - 2

ankoles [38]

Answer:

-4 (2p+ 3) = -(p+1) - 2

-8p -12 = -p-1-2

-7p=9

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Step-by-step explanation:

6 0

3 years ago

Pls help due soon in about 4 min.

olchik [2.2K]

Answer:

2 gallons

Step-by-step explanation:

4 quarts = 1 gallon

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2 cups in a pint

8 ounces in a cup

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so in total you get 2 gallons! :)

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2 years ago

Which equation is quadratic in form?

prohojiy [21]

Answer:

the quadratic formula is ax^2 + bx + c", if the first one is expanded out I will be 6x^2+8x+27 so that's the answer

4 0

3 years ago

Can you answer this please?​

Can you answer this please?