7.13 In the original study of regression toward the mean, Sir Francis Galton noted a tendency for offspring of both tall and sho
1 answer:
You might be interested in
Answer:
<em>The function is of an exponential growth type</em>
<em>Rate of change is 240%</em>
Step-by-step explanation:
<u>Exponential Function</u>
The expression of an exponential function is
For a,b,c constants.
1.
The function will be of an exponential growth type if, when x increases, f increases. That behavior comes from the combination of the three constants a,b,c. The best approach to find that out is by taking the first derivative
Since is always positive, the product of b.c.lna must be positive to make f increasing. For example, if a>1 and both b and c are of the same sign, f increases for all x. If 0<a<1, then, since lna<0, the product b.c must be negative, i.e. both should have different signs
The function is expressed as
we can see a>1, b and c are positive, so the function is of an exponential growth type.
2.
Talking about rates change of real functions takes us to the derivative function. We have already seen the derivative is dependent on all three constants and also of the value of x, so it cannot be predicted as a fixed percentage.
Now, if we picture the function as the general term of a sequence, where x can only take natural values, we can say
Each term is obtained as the previous term by 2.4. It's accurate to say the rate of change is 240%
The statements that are true about the pyramid are
- The base of the pyramid is a square with four sides, each measuring 756 feet.
- The slant height of the pyramid is 612 feet.
- All four triangular faces are congruent.
- The pyramid has four lateral faces.
From the question, we are to determine the statements that are true about the pyramid
The diagram shows a square pyramid,
The length of a side of its base is 756 ft
and
The height / altitude of a triangular face is 612 ft
Since the pyramid is a square pyramid,
Then, the base must be a square with each side measuring 756 feet
∴ The first statement is true
Since the height of a triangular face is 612 ft,
Then,
∴ The slant height of the pyramid is 612 feet
NOTE: Slant height of a pyramid is the altitude of the triangle comprising a lateral face
Thus, the second statement is true
Since the triangular faces each have a base of 756ft and a height of 612 ft,
Then,
All four triangular faces are congruent
∴ The fourth statement is true
NOTE: Lateral sides of a solid are the faces on the <u>sides</u> of the shape
The pyramid has four lateral faces which are each a triangle
∴ The last statement is true
Hence, the statements that are true about the pyramid are
- The base of the pyramid is a square with four sides, each measuring 756 feet.
- The slant height of the pyramid is 612 feet.
- All four triangular faces are congruent.
- The pyramid has four lateral faces.
Learn more on Pyramid here: brainly.com/question/10042135
#SPJ1
