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pentagon [3]
3 years ago
6

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 \thetais 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:

9%

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
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