Answer:
The answer is C.
Step-by-step explanation:
Given formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height.
In this case, the initial postion is a platform 30ft above ground so h0=+30
The initial velocity is 38 ft/s straight up into the air so v0=+38
h(t)=-16t2+38t+30
When the object hits the ground, h=0.
h=-16t2+38t+30=0
Simplifying 8t2-19t-15=0
(8t+5)(t-3)=0
t=-5/8 or 3
As time cannot be -ve, t=3s. The answer is C.
Answer:
20
Step-by-step explanation:
Answer:
Line Symmetry, Horizontal and Vertical Lines, 90 and 180 degrees
Step-by-step explanation:
It is line symmetry because you can fold the H, and it would overlap perfectly.
Horizontal and vertical lines because if you were to place a line in the middle both horizontally and vertically it would overlap.
90 and 180 degrees because the H would still have have symmetry if you flipped it on its side or upside down.
Answer:
The probability that the all three votes are Democrats
P(X=3) = 0.1038
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the all voters are democrats
The probability that the all voters are democrats
p = 47% =0.47
q = 1-p =1-0.47 = 0.53
<u><em>Step(ii):-</em></u>
Let 'X' be the random variable in binomial distribution
The probability that the all three votes are Democrats
P(X=3) = 0.1038
n=3 and r=3
P(X=3) = 0.1038
<u>Final answer:-</u>
The probability that the all three votes are Democrats
P(X=3) = 0.1038
<u></u>
Answer:
x =5
Step-by-step explanation:
We can use proportions to solve this problem. Put the side of one triangle over the same side of the other triangle.
x 4
------ = ----------
40 32
Using cross products
32x = 4*40
32x = 160
Divide each side by 32
32x/32 =160/32
x =5
