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
KengaRu [80]
3 years ago
9

Given the function f(x) = 4(2)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.

Mathematics
1 answer:
Dmitry [639]3 years ago
7 0

Answer:

Step-by-step explanation:

I'm sure you want your functions to appear as perfectly formed as possible so that others can help you.  f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation:  f(x) = 4(2)^x

                                                                                      f(b) - f(a)

The formula for "average rate of change" is a.r.c. = --------------

                                                                                           b - a

                                    change in function value

This is equivalent to  ---------------------------------------

                                            change in x value

For Section A:  x changes from 1 to 2 and the function changes from 4(2)^1 to  4(2)^2:  8 to 16.  Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2.  Thus, in this Section, the a.r.c. is:

                 8

               ------ = 8 units    (Section A)

                  1

Section B:  x changes from 3 to 4, a net change of 1 unit:  f(x) changes from

4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units.  Thus, the a.r.c. is

        224 units

      ----------------- = 224 units (Section B)

            1 unit

The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.

This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").

You might be interested in
The side of a square is 3 and 5/2 inches
Murrr4er [49]
Perimeter=22 inches
Area=121/4 inches
7 0
3 years ago
the diagonals of a rhombus are 12 centimeters and 16 centimeters. what is the length of one side of the rhombus?
liq [111]
In a rhombus, the diagonals meet at right-angles, and they bisect each other, namely they cut each other in half, check the picture below.

thus we can use the pythagorean theorem to get one side, keeping in mind that, slanted as it may be, all sides in a rhombus are equal in length.

7 0
3 years ago
Layla painted 5/9 of a wall and Tim painted 6/7 of a wall. How much if the wall do they have left to paint?
tamaranim1 [39]

Answer:

54/63 so 9 of wall to paint left

Step-by-step explanation:

I think its 9 to paint

8 0
2 years ago
Manuel incorrectly claimed that the surface area of the cylinder shown is about 190.0 in.2. Use a formula to find the surface ar
Kitty [74]

Answer:

25.9%

Step-by-step explanation:

Note: you did not provide any attached image detailing the dimension of the cylinder however, let us arrange some dimension for explanation purpose

let the dimension of the cylinder be

radius= 3in

height= 5 in

Step two

The expression for the total surface area of a cylinder is

T. S. A. =2πrh+2πr2

substitute

T. S. A. =2*3.142*3*5+2*3.142*3^2

T. S. A. =94.26+56.556

T. S. A. =150.816 in^2

Now let us find the error

%error= actual -expected/expected*100

%error= 190 -150.816/150.816*100

%error= 39.184/150.816*100

%error= 0.259*100

%error= 25.9%

Now, you can use the dimension you have for the cylinder to calculate the total surface area, from there, you can solve for the error by following the steps above

3 0
3 years ago
According to a recent study of 7335 young people in the US, 30% had been arrested for a crime other than a traffic violation by
victus00 [196]

Answer:

a) Statistic.

b) The population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

Step-by-step explanation:

a) The proportion of 30% is a statistic, as it is a value that summarizes data only from the sample taken in the study from USA Today. Other samples may yield different proportions.

b) We can use the statistic to estimate a confidence interval for the parameter of the population.

The standard error for the proportion is calculated as:

\sigma_p=\sqrt{\dfrac{p(1-p)}{N}}=\sqrt{\dfrac{0.3\cdot 0.7}{7335}}=\sqrt{2.83\cdot10^5}= 0.00535

The margin of error is 0.01. We can use this value to determine the level of confidence that represents.

The formula for the margin of error is:

E=z\cdot \sigma_p=0.01\\\\z\cdot 0.0535=0.01\\\\z=1.87

This z-value, according to the the standard normal distribution, corresponds to a confidence interval of 94%.

The interval for this margin of error is:

p-E\leq \pi \leq p+E\\\\0.30-0.01\leq \pi \leq 0.30+0.01\\\\0.29\leq \pi \leq 0.31

Then, we can conclude that the population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

3 0
4 years ago
Other questions:
  • Combinatorics problem. A web site was hit 300 times over a period of 15 days Show that over some period of 3 consecutive days, i
    10·1 answer
  • How many sides does a regular heptagon have
    7·2 answers
  • 30% of the library books in the fiction section are worn and need replacement. 10% of the nonfiction holdings are worn. The libr
    8·1 answer
  • Solve for w.
    11·1 answer
  • What are the x-intercept and y-intercept of the line passing through (0,-3) and (5,0)
    10·1 answer
  • PLEASE HELP ME! can someone explain this to me pls?​
    12·1 answer
  • If you score 76, 85, 97 and 82 on your math tests, what would your average mean score be? *
    10·2 answers
  • A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 6 grams and the amo
    12·1 answer
  • HELP PLEASE I NEED IT ASAP IT WILL MEAN A LOT TO ME!! PLEASE
    10·2 answers
  • a sack of rice had a mass of 8kg at first. from the sack of rice, mrs lee filled some containers with 3/8kg of rice each. What w
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!