1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dominik [7]
3 years ago
10

Can someone help me with part b?

Mathematics
1 answer:
Tema [17]3 years ago
3 0

Step-by-step explanation:

the average rate of change of a function f in an interval [x-low, x-high] is

(f(x-high) - f(x-low)) / (x-high - x-low)

the year 2000 means t = 2000-1980 = 20

the year 2015 means t = 2015-1980 = 35

so, we have

(A(35) - A(20)) / (35 - 20)

((-0.6(35)² + 37.2×35 + 243) - (-0.6(20)² + 37.2×20 + 243)) / 15

((-735 + 1302 + 243) - (-240 + 744 + 243)) / 15

(810 - 747) / 15 = 63/15 = 4.2

the average change rate between 2000 and 2015 is 4.2.

that means that the use of nuclear energy in the USA increased by 4.2 billions of kilowatt hours per year during that period.

You might be interested in
Volume and surface area are often compared by manufacturers in order to maximize how much of something can go inside of a packag
notka56 [123]
We have no dimensions to work with. I'll pick some and try and comply with the conditions of the problem. 

Suppose you have an object that is 14 by 22 by 27 cm. These three numbers have no common factor so they cannot be reduced any further, which is helpful for this problem.

Find the Volume
Volume

l = 27 cm
w = 14 cm
h = 22 cm

V = 27 *14 * 22
V = 8316 cm^3

Find the surface area
SA = 2*l*w + 2*l*h  + 2*w*h
SA = 2*27*14  +  2*27*22   +  2*14*22
SA = 756 + 1188 + 616
SA = 2558

Just looking at these numbers The surface area is about 1/3 of the volume. I don't think this is always true.


 \frac{SA}{V} =  \frac{2*L*W  + 2*L*H + 2*W*H}{L*W*H} 

Another way to do this is to consider a cube which might give you a more useful result. 

s = L = W = H all three dimensions are equal in a cube.
The volume of a cube is s*s*s = s^3
The surface area of a cube is 2*s*s + 2*s*s + 2s*s = 6s^2

\frac{SA_cube}{V_cube} =  \frac{6s*s}{s*s*s}
\frac{SA}{V} =  \frac{6}{s}

That means whatever the side length, the Surface Area to volume = 6/the side length which is kind of an interesting result.


4 0
3 years ago
In degrees, what is the sum of the exterior angles of a square?
Rom4ik [11]
The sum exterior angles of a square are:
4*90=360°

8 0
3 years ago
Read 2 more answers
A tunnel is in the shape of a parabola. The maximum height is 31 m and it is 13 m wide at the base as shown below.
yan [13]
Using the given values from the problem and the illustration, three points are known which are (0,0), (6.5,-31), (-6.5,-31). The first step in solving this problem is to determine the equation of the parabola.
y = ax²
-31 = a(6.5)²
-31 = 42.25a 
a = -31/42.25 
a = -124/169 

Therefore, the equation of the parabola is y = (-124/169)x². The value 4.5 is then substituted in the equation as x to get the answer which is 16.14 meters.
6 0
2 years ago
What is the value of m?
Gnesinka [82]
M=18

explication: both of the angles are 90 degrees, 90-33=57, 3(18)+3=57
8 0
3 years ago
Read 2 more answers
Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) - 6 = 0?
Ber [7]

Answer:

x^2 + 9x + 8 = 0

Step-by-step explanation:

First, we have to simplify this quadratic equation:

(x+2)^2 + 5(x+2) - 6 = 0

x^2 + 4x + 4 + 5x + 10 - 6 = 0

x^2 + 9x + 8 = 0

5 0
1 year ago
Other questions:
  • bill furrier marks up mink coats $3000. This represents 50% markup on cost. what is the cost of the coats?
    7·1 answer
  • Can someone help me with this question? It's a simple question compared to all the other questions on this app. Many appreciatio
    6·1 answer
  • How can I convert units of capacity
    8·1 answer
  • What is the slope form equation?
    14·2 answers
  • On July 1, Black Corporation had 200,000 shares of $10 par common stock outstanding. The market price of the stock was $12 per s
    5·1 answer
  • An avid collector wants to purchase a signed basketball from a particular playoff game. He plans to put
    8·1 answer
  • X + 7 = 33 inverse operation
    12·1 answer
  • Use the function below to find F(-2) <br> F(X)= 3^x
    5·2 answers
  • The set of ordered pairs represents a function
    10·1 answer
  • Which inequality represents all the solutions of<br> 9(4x-8) &lt; 4(6x + 9)?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!