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iVinArrow [24]
3 years ago
10

What is the equation in point slope form of the line passing through (0,3) and has a slope of -6

Mathematics
1 answer:
notsponge [240]3 years ago
4 0
Just plug in the numbers! it gives you the slope and the y-intercept right in the question so no math required. The slope is -6, and the y-int is 3, therefore y = -6x + 3 is the answer
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The net worthw(t) of a company is growing at a rate of′(t) = 2000−121t2dollarsper year, wheretis in years since 1990.(a) If the
stiv31 [10]

Answer:

The worth of the company in 2000 is $56,000.

Step-by-step explanation:

The growth rate of the company is:

f'(t)=2000-12t^{2}

To determine the worth of the company in 2000, first compute the change in the net worth during the period 1990 (<em>t</em> = 0) to 2000 (<em>t</em> = 10) as follows:

\int\limits^{10}_{0} {2000-12t^{2}} \, dt =\int\limits^{10}_{0} {2000} \, dt-12\int\limits^{10}_{0} {t^{2}} \, dt=2000 |t|^{10}_{0}-12|\frac{t^{3}}{3}|^{10}_{0}\\=(2000\times10)-(4\times10^{3})\\=20000-4000\\=16000

The increase in the company's net worth from 1990 to 2000 is $16,000.

If the company's worth was $40,000 in 1990 then the worth of the company in 2000 is:

Worth in 2000 = Worth in 1990 + Net increase in company's worth

                        =40000+16000\\=56000

Thus, the worth of the company in 2000 is $56,000.

4 0
3 years ago
Last question please help((: #10
GrogVix [38]
We would use the sine function because we have an angle the hypotenuse, and the unknown opposite side.

sin(x)=opposite/hypotenuse
sin(60)=x/30
√3/2=x/30 (cross multiply)
30*√3/2=x (divide numerators and denominators by 2)
x=15√3 ft. 
So the correct answer is A

Hope this helps
6 0
3 years ago
Read 2 more answers
the main rotor of a helicopter rotates 430 times per minute. find the number of degrees through which a point on the main rotor
n200080 [17]

Answer:

2580 degrees rotated per second

Step-by-step explanation:

since  you have to find the degrees it rotates per second.

you need to divide 430 by 60 to find rotations per second

1)          430/60

             =  7.16666667 rotations per second

-then you have to multiply it by 360 degrees ,because their is 360 degrees in a circle

2)        7.16666667 (360)

            =  2580 degrees rotated per second

6 0
3 years ago
A point is randomly selected on the grid. What is the
VLD [36.1K]

Answer:

13/24

Step-by-step explanation:

I got it right.

4 0
3 years ago
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If the length of side ab is 17, is triangle abc a right triangle?
bagirrra123 [75]
It can be both.
as there is no length of height or hypotenuse...
7 0
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