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3 years ago

(40 POINTS FOR EVERYTHING)

Mathematics

1 answer:

neonofarm [45]3 years ago

3 0

Answer:

1. m = 45

2. x = -18

3. x = -13

4. x = 11

5. x = 19

6. v = 3

7. n = 208

8. b = -1

Step-by-step explanation:

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-1.9y=2.47 rational equations! please helP!

kow [346]

Answer: y = -1.3

Step-by-step explanation:

3 0

2 years ago

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

In order to raise funds to attend upcoming competitions, the debate team is selling hot chocolate at a football game. They hope

konstantin123 [22]

Answer:

125 cups

Step-by-step explanation:

We're given a total of 250 as the goal, and the product being sold is 2 per, hence, we'll use the following inequality:

$2x\geq 250$

To find the amount of hot chocolate they need to sell to satisfy the inequality, we solve for x:

$2x=250\\x=125$

The debate team has to sell atleast 125 of the product to meet their goal.

Hope this helped! Have a good day.

6 0

3 years ago

Solve the system by substitution. And show your work -9y-10=x 5x+6y=-11

ExtremeBDS [4]

The answer is (-1, -1).
hope this helps!

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3 years ago

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What is 3/5 of 3 3/4

murzikaleks [220]

$\dfrac{3}{5}\cdot3\dfrac{3}{4}=\\
\dfrac{3}{5}\cdot\dfrac{15}{4}=\\
3\cdot\dfrac{3}{4}=\\
\dfrac{9}{4}$

5 0

3 years ago

Read 2 more answers