Answer:
exponential
Step-by-step explanation:
The exponential function has the largest value for large values of x. Here, "large" means "greater than 4.3". A graph shows this to be true.
For x=10, the exponential function will have a value of 2^10 = 1024.
The quadratic function will have a value of 10^2+1 = 101.
The linear function will have a value of 10+1 = 11.
The exponential function has the largest value.
Answer:
B
Step-by-step explanation:
We want to find the equation of a line with a slope of 3 that includes the point (0, 5).
We can use the slope-intercept form, given by:
Where m is the slope and b is the y-intercept.
Notice that the given point (0, 5) is already the y-intercept. So, b = 5.
By substitution, we acquire:
Hence, our answer is B.
Answer:
The bottle of orange juice will have higher amounts of vitamin C per serving, as it will have 125 mg against 90 mg of the cranberry juice.
Step-by-step explanation:
To determine the amount of vitamin C in each serving of fruit juice, knowing that the bottle of orange juice contains 750 mg of vitamin C and 6 servings, while the bottle of cranberry juice contains 135 mg and 1.5 servings, you must perform the following calculation:
Orange: 750/6
Orange: 125 mg per serving
Cranberry: 135 / 1.5
Cranberry: 90 mg per serving
Thus, the bottle of orange juice will have higher amounts of vitamin C per serving, as it will have 125 mg against 90 mg of the cranberry juice.
Answer: The answer is 2,713 in³
The volume (V) of the prop is the sum of the volume of cone (V1) and half of the volume of the sphere (V2): V = V1 + 1/2 * V2
Volume of the cone is:
V1 = π r² h / 3
According to the image,
h = 14 in
r = 9 in
and
π = 3.14
V1 = 3.14 * 9² * 14 / 3 = 1,186.92 in³
The volume of the sphere is:
V2 = π r³ * 4/3
According to the image,
r = 9 in
and
π = 3.14
V2 = 3.14 * 9³ * 4/3 = 3,052.08 in³
The volume of the prop is:
V = V1 + 1/2 * V2
V = 1,186.92 in³ + 1/2 * 3,052.08 in³
V = 1,186.92 in³ + 1,526.04 in³
V = 2,712.96 in³ ≈ 2,713 in³
Answer:
5b
Step-by-step explanation:
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