D(t)=-16t²+32t+88
a] Maximum height
At maximum height d'(t)=0
from d(t);
d'(t)=-32t+32=0
thus
t=1
hence the maximum height will be:
d(t)=-16t²+32t+88
d(1)=-16(1)^2+32(1)+88
d(1)=104 ft

2] how many seconds does it take to reach the ground after first being thrown upward?
Here we solve for t intercept
when d(t)=0
thus
0=-16t²+32t+88
solving for t, we get:
t=1-√13/2
or
t=1+√13/2

t=-1.55 or t=3.55 sec
Thus the answer is t=3.55 sec

3 0

3 years ago

11.Combine like terms 12.The length of a rectangle is 4x + 7 and the width is 3x - 1. What is the perimeter of the rectangle? pl

Darya [45]

Answer:

Question 11 would be D) 5x - 4y and Question 12 would be A) 7x + 6

3 0

3 years ago

Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purc

sveta [45]

Answer:

$\frac{4}{9}$

Step-by-step explanation:

Two events are independent of each other, this is called Compound Probability. Classical example is if two coins are filped, what is the probability of getting two heads in a row.?

Answer: each has 50% probability because there are two states only, either H or T. since we have two coins the probability of getting two heads in row is the product of obtaining heads for each individual coin (which is independent of each other). or is $\frac{1}{2}$ × $\frac{1}{2}$ = $\frac{1}{4}$ = 25%. (Notice!).

Back to our problem, now here we have 3 paint brands and one of them is the right paint brand and two of them are not correct brands. so the prabablity that the customer has picked not correct brand is $\frac{2}{3}$ and her husband has not picked correct brand is also $\frac{2}{3}$ , since two probabilities are compound probabilities i.e indepandant of each other the probablity that both woman and her husband fail get correct brand is the product of the two and is = $\frac{2}{3}$ × $\frac{2}{3}$ = $\frac{4}{9}$ .

4 0

3 years ago