Answer:
A...
Step-by-step explanation:
Not completely sure. :<
A.) To find the maximum height, we can take the derivative of h(t). This will give us the rate at which the horse jumps (velocity) at time t.
h'(t) = -32t + 16
When the horse reaches its maximum height, its position on h(t) will be at the top of the parabola. The slope at this point will be zero because the line tangent to the peak of a parabola is a horizontal line. By setting h'(t) equal to 0, we can find the critical numbers which will be the maximum and minimum t values.
-32t + 16 = 0
-32t = -16
t = 0.5 seconds
b.) To find out if the horse can clear a fence that is 3.5 feet tall, we can plug 0.5 in for t in h(t) and solve for the maximum height.
h(0.5) = -16(0.5)^2 + 16(-0.5) = 4 feet
If 4 is the maximum height the horse can jump, then yes, it can clear a 3.5 foot tall fence.
c.) We know that the horse is in the air whenever h(t) is greater than 0.
-16t^2 + 16t = 0
-16t(t-1)=0
t = 0 and 1
So if the horse is on the ground at t = 0 and t = 1, then we know it was in the air for 1 second.
Answer:I belive the sale price is $11.65
Step-by-step explanation:
$12.00-$0.35
sorry if im wrong
Answer:
760772
Step-by-step explanation:
Given that the population of city Z was 420,000 in the year 2000.
The population is projected to grow at a constant rate of 2 percent per year,
We have to find the closest to the projected population of city Z in the year 2030
Since growing at 2% per year treating 2000 as year 0 we can say
where t is the no of years lapsed after 2000.
So at the year 2030, t = 30
Population at th eyear 2030
= 
the projected population of city Z in the year 2030 is 760772
The correct answer is option D.The point 1.6 with bar will be lies between 1 and 2.
The image of the question is attached with the answer below:-
<h3>
What is a number line?</h3>
The number line is the line on which real numbers are marked with the same interval between them. Number lines are used to mark any point of the real number on the line.
We can see in the image that A, B, C and D points are marked on the number line. The line is marked with real numbers that are integers.1.6 bar number will lie between 1 and 2 numbers.
Therefore the correct answer is option D.The point 1.6 with a bar will be lies between 1 and 2.
To know more about Number line follow
brainly.com/question/24644930
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