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3 years ago

Given vectors a = (2, 6) and b = (-3, 4), find – 3 a +5b. Write your answer in component form.

Mathematics

1 answer:

Aliun [14]3 years ago

3 0

Answer:

$\huge\boxed{-3\overrightarrow{a}+5\overrightarrow{b}=\left}$

Step-by-step explanation:

$\overrightarrow{a}=\left\\\\\overrightarrow{b}=\left\\\\-3\overrightarrow{a}+5\overrightarrow{b}=-3\left+5\left=\left+\left\\\\=\left+\left=\left=\left$

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A stick of butter measures 3 cm wide, 8 cm long, and 2 cm high. What is the volume of the stick of butter?

Jobisdone [24]

Answer:

48cm

Step-by-step explanation:

V= L x W x H

V= 8 x 3 x 2= 48cm

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2 years ago

What is the slope of the line that is perpendicular to the line shown on the graph?

Genrish500 [490]

We can find out two point on the line (0,2)and(4,1)

The slope =(2-1)/(0-4)=-1/4

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3 years ago

NetSell, a the TV remote control supplier for Lumyn Electronics, has a weekly production cost of q TV remote controls that is gi

natali 33 [55]

Answer:

a. $\frac{dC(q)}{dq} = 0.000012q^2 -0.06q + 100$

b. $\frac{dR(q)}{dq}=-0.01q+200$

$U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152$

$U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138$

Step-by-step explanation:

a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:

$\frac{dC(q)}{dq} = \frac{dC(q)}{dq} (0.000004q^ 3 - 0.03q ^ 2 + 100q + 75000) = 0.000012q^2 -0.06q + 100$

b) The income function is given by the relation $R (q) = P (q) q = -0.005q^2 + 200q$ .

The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:

$\frac{dR(q)}{dq}= -0.01q+200$

(c) The profit function of the company is given by the relation $U (q) = R (q) - C (q)$ , and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:

$\dfrac{dU(q)}{dq}=R'(q) - C'(q) = -0.01q+200 - (0.000012q^2-0.06q+100) = -0.000012q^2+0.05q+100$

When q = 2000, the marginal utility is:

$U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152$

When q = 7000, the marginal utility is:

$U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138$

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3 years ago

The population of fish in a pond in relation to the number of years since stocking is depicted on a graph. For the first few yea

Viktor [21]

Answer:

graph c is the correct answer

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3 years ago

Read 2 more answers

Write an equation for the line that passes through (2,10),(0,4)

Y_Kistochka [10]

I'm going to go right ahead and assume that we're talking about a linear equation.

The linear equation passing through the points given is y=3x+4, since it satisfies both of the points given.

8 0

3 years ago