Answer:
<em>3 seconds</em>
Step-by-step explanation:
Complete question:
<em>An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t)=144-16t2. How many seconds will it take the object to reach the ground? 2 seconds 3 seconds 9 seconds 16 seconds</em>
<em></em>
Given the height of an object modelled by the expression;
<em>h(t)=144-16t²</em>
The object will reach the ground when h(t) = 0
Substitute into the formula
0 = 144 - 16t²
-144 = -16t²
144 = 16t²
Swap
16t² = 144
t² = 144/16
t² = 9
Square root both sides
√t² = ±√9
t = ±3secs
<em>Since the time cannot be negative, hence the object will reach the ground 3 seconds after</em>
Answer: (a)
(b) 
Step-by-step explanation:
(a) P( Bill hitting the target) = 0.7 P( Bill not hitting the target) = 0.3
P( George hitting the target) = 0.4 P(George not hitting the target) = 0.6
Now the chances that exactly one shot hit the target is = 0.7 x 0.6 + 0.4 x 0.3
= 0.54
Chances that George hit the target is = 0.4 x 0.3 = 0.12
So given that exactly one shot hit the target, probability that it was George's shot =
=
.
(b) The numerator in the second part would be the same as of (a) part which is 0.12.
The change in the denominator will be that now we know that the target is hit so now in denominator we include the chance of both hitting the target at same time that is 0.4 x 0.7 and the rest of the equation is same as above i.e.
Given that the target is hit,probability that George hit it =
= =
The formula that describes this function is c = 50t + 200
<h3>
What is a Linear equation</h3>
A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the y intercept.
Let c represent the distance june has traveled after time t.
Since the cities are 200 miles apart, hence b = 200. Also the spoeed is 50 mph, hence m = 50:
c = 50t + 200
The formula that describes this function is c = 50t + 200
Find out more on Linear equation at: brainly.com/question/14323743
Answer:
C = 2*3.14*10 = 62.8 cm = P of square
Area=1/16 * p2
=
246.49 cm2
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