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:
<em>3 seconds</em>
Step-by-step explanation:
Given the height modelled by the function
h(t) = -16t² + 16t + 96
The hit the water at h(t) = 0
0 = -16t² + 16t + 96
Divide through b y -16
0 = t² - t - 6
t² - t - 6 = 0
t² - 3t+2t - 6 = 0
t(t-3)+2(t-3) = 0
t+ 2 = 0 and t - 3 = 0
t = -2 secs and t = 3secs
Since t can't be negative, hence;
t = 3 secs
<em>hence it will take 3 seconds until Devon hit the water</em>
Answer:
<u>88/345 which is 0.2551</u>
Step-by-step explanation:
Since we are picking 2 athletes randomly and without replacement.
Probability of 1 volleyball player = 24/46 = 12/23
Probability of basketball player (<u>this</u><u> </u><u>is</u><u> </u><u>aft</u><u>er</u><u> </u><u>1</u><u> </u><u>vol</u><u>ley</u><u>ball</u><u> </u><u>play</u><u>er</u><u> </u><u>has</u><u> </u><u>alr</u><u>eady</u><u> </u><u>be</u><u>en</u><u> </u><u>picked</u><u>)</u><u>.</u><u> </u><u>We</u><u> </u><u>hav</u><u>e</u><u> </u><u>4</u><u>5</u><u> </u><u>players</u><u> </u><u>left</u><u>.</u><u> </u><u>=</u><u> </u><u>2</u><u>2</u><u>/</u><u>4</u><u>5</u>
<u>proba</u><u>bility</u><u> </u><u>of</u><u> </u><u>picki</u><u>ng</u><u> </u><u>one</u><u> </u><u>volle</u><u>yball</u><u> </u><u>pla</u><u>yer</u><u> and</u><u> </u><u>one</u><u> </u><u>bask</u><u>e</u><u>tball</u><u> player</u>
<u>p</u><u>(</u><u>voll</u><u>eyball</u><u> </u><u>pla</u><u>yer</u><u> </u><u>a</u><u>nd</u><u> </u><u>bask</u><u>etball</u><u> </u><u>player</u><u>)</u>
<u>(</u><u>1</u><u>2</u><u>/</u><u>2</u><u>3</u><u>)</u><u> </u><u>x</u><u> </u><u>(</u><u>2</u><u>2</u><u>/</u><u>4</u><u>5</u><u>)</u>
<u>=</u><u> </u><u>8</u><u>8</u><u>/</u><u>3</u><u>4</u><u>5</u>
You would need to divide both sides by 10.
110=10p
11=p
Answer:
For the length I think you meant 32, and if you did it is $14.40
If not and you meant length of 2 it is $0.90
Step-by-step explanation: