Answer:
Given the ordered pairs, the exponential growth function would be represented by f(x)=35(1.6)^x.
Step-by-step explanation:
Exponential growth functions are represented by the following equation: f(x)=ab^x, where 'a'=initial value; 'b'=rate of growth; 'x'=independent value or time. Given the points, we see that the values of 'x' increase by 1 each time and dividing two 'y' values (35/21.875; 56/35; 89.6/56) gives us a change of 1.6. Rate is the change in y/the change in x, or 1.5/1, which is the value of 'b'. When 'x' is equal to 0, the value of 'y' is 35, so this represents the initial value, or 'a'. Plugging in these values will give us the final equation f(x)=35(1.6)^x.
Answer:
25*pi or
78.5 square units.
Step-by-step explanation:
If there was no shaded area, the area of the circle would be pi * r^2
r = 10
Area = pi * 10^2
Area = 100 * pi
Since there is a shaded area, the shaded part looks to be 1/4 of the whole. There's no indication of what it actually is, but 1/4 should be close enough.
Area_shade = 1/4 (100*pi)
Area_shade = 25 * pi
That's one answer.
Another is 25 * 3.14 = 78.5 square units
Answer:
B
Step-by-step explanation:
I think these are the sums of perfect cubes.
A = (2x²)³ + (3)³
B = (x³)³ + (1)³
D = (x²)³ + (x)³
E = (3x³)³ + (x^4)³
Answer:
Mr. Johnson has 12 possibilities.
Step-by-step explanation:
The information provided are:
- Mr. Johnson has a white shirt, a plaid shirt, and a blue shirt.
- Mr. Johnson has four pairs of pants, black, brown, gray, and white.
- He chooses one shirt and one pair of pants.
Compute the number of ways to select a shirt and a pair of pants as follows:
Total number of ways = Number of Shirts × Number of pair of pants
Thus, Mr. Johnson has 12 possibilities.
