Answer:
B. The rate at which the number of people in the park is changing 4 hours after the gates open is 92 people per hour.
Step-by-step explanation:
Rate at which people enter:
e(x)=0.03x^3 + 2
Rate at which people leave:
L(x)=0.5x + 1
Rate at which the number of people in the park is changing:
(e - L)(x) = 0.03x^3 + 2 - (0.5x + 1) = 0.03x^3 - 0.5x + 1
4 hours after the gates open, the rate is:
(e - L)(4) = 0.03(4)^3 - 0.5(4) + 1 = 0.92 hundreds of people per hour or 0.92*100 = 92 people per hour
Answer:
x=8
Step-by-step explanation:
the larger triangle has a scale factor of 4/3, so 4/3 times 5x+2=7x
(20x+8)/3=7x
20x+8=21x
8=x
1) 2 with a small 4 at the top like an exponent
Answer:
Hey, I'd love to help but there doesn't seem to be a question here? I can answer in the comment section if you confirm the question :)

First, subtract '11' from each side.

Second, subtract '29 - 11' to get '18'.

Third, since we are solving for f, we have to get it by itself. Multiply each side by 'f'.

Fourth, once again, we need to get 'f' alone. Divide both sides by 18.

Fifth, now that we have 'f' by itself, we can simplify the current fraction. To do so, we need to start off with listing the factors of 4 and 18 and find the greatest common factor (GCF).
Factors of 4: 1, 2, 4
Factors of 18: 1, 2, 3, 6, 9, 18
Out of the listed factors, 1 and 2 are the common factors, and since 2 is the highest number out of them, it is considered the greatest common factor. The GCF is 2.
Sixth, divide the numerator and denominator by the GCF (2).

Seventh, we can now rewrite our fraction in simplest form and switch sides.

Answer in fraction form:

Answer in decimal form: