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3 years ago

What are the initial value and rate of change from this table???? Explain!!

Mathematics

1 answer:

Evgen [1.6K]3 years ago

8 0

Answer:

rent goes up 9 dollars at a time while number of days is 1 at a time

Step-by-step explanation:

the difference of 21 and 12 is 9 so you can see it changes every day by nine for the ratio i think is for every day 9 dollars is added to fee

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A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9

o-na [289]

Answer: $12.74 ft^2/s$

Step-by-step explanation:

Given

Two sides of triangle of sides 5 ft and 7 ft

and angle between them is increasing at a rate of 0.9 radians per second

let $\theta$ is the angle between them thus

Area of triangle when two sides and angle between them is given

$A=\frac{ab\sin C}{2}$

$A=\frac{5\times 7\times \sin \theta }{2}$

Differentiate w.r.t time

$\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\cos theta }{2}\times \frac{\mathrm{d} \theta }{\mathrm{d} t}$

at $\theta =\frac{\pi }{5}$

$\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\times cos(\frac{\pi }{5})}{2}\times 0.9$

$\frac{\mathrm{d} A}{\mathrm{d} t}=12.74 ft^2/s$

4 0

3 years ago

The function f(x)=(x-5)^2 +2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the in

Anon25 [30]

We have been given a quadratic function $f(x)=(x-5)^{2} +2$ and we need to restrict the domain such that it becomes a one to one function.

We know that vertex of this quadratic function occurs at (5,2).

Further, we know that range of this function is $[2,\infty)$ .

If we restrict the domain of this function to either $(-\infty,5]$ or $[5,\infty)$ , it will become one to one function.

Let us know find its inverse.

$y=(x-5)^{2}+2$

Upon interchanging x and y, we get:

$x=(y-5)^{2}+2$

Let us now solve this function for y.

$(y-5)^{2}=x-2\\
y-5=\pm \sqrt{x-2}\\
y=5\pm \sqrt{x-2}\\$

Hence, the inverse function would be $f^{-1}(x)=5+\sqrt{x-2}$ if we restrict the domain of original function to $[5,\infty)$ and the inverse function would be $f^{-1}(x)=5-\sqrt{x-2}$ if we restrict the domain to $(-\infty,5]$ .

8 0

3 years ago

POTW 1

pychu [463]

Answer:

Step-by-step explanation:

I went on calculator .__.

6 0

3 years ago

Find each percentage of 75 explain your reasoning 1.what Is 10%of 75% 2. What is 1% of 75%

kozerog [31]

1. 7.5 because Y/75 X 10/100 = 750 /100 = 7.5
2. .75 because Y/75 X 1/100 = 75/100 = .75

4 0

3 years ago

-120 degrees is equal to what?

hichkok12 [17]

It's not clear what you're looking for.

If you want to find an angle whose terminal point involves a positive angle, then -120 degrees is equivalent to +240 degrees.

If you want the equivalent angle in radians, then:

-120 deg -π rad

-------------- = --------------- = - 2π/3 rad, or + 4π/3 rad.

1 180 deg

4 0

3 years ago

Read 2 more answers