When an apple is dropped from a tower 256 feet high, the function h(t) =-167 +256 models the height of theapple, in feet, after t seconds. Determine, algebraically, the number of seconds it takes the apple to hit the ground.
Answers
The apple dropping on the ground is an illustration of free fall.
It takes the apple 1.53 seconds to hit the ground
Given
When the apple hits the ground, we have:
Substitute in
Collect like terms
Solve for t
Approximate
Hence, the apple hits the ground after 1.53 seconds
Read more about free falls at:
Answer:
around 1.5 sec
Step-by-step explanation:
basically you wanna figure out at what time is the height=0
since h(t) represents height, set it to 0 then solve for t
i believe you might have forgotten the t in the equation so i assumed it was -167t
0=-167t+256
-256=-167t
t=1.53293413174
around 1.5 seconds after it was dropped
alternatively, you could plug the equation into desmos, replacing h(t) with y and t with x and find the x intercept
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Answers
The volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis is (πln(3)3)/3.
To find the volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis, we can use the disk method. The disk method involves slicing the region into thin disks and adding up their volumes.
The volume of each disk is πr2h, where r is the radius of the disk and h is the thickness of the disk. In this case, the radius of each disk is x and the thickness is dx.
So, the volume of the region is:
V = ∫0ln(3)πx2dx
We can use the power rule for integration to solve this integral:
V = π∫0ln(3)x2dx = π[(x3)/3]0ln(3) = π[(ln(3)3)/3 - (03)/3] = (πln(3)3)/3
Therefore, the volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis is (πln(3)3)/3. This is the exact form of the volume.
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Answers
There for the numerator is 54 and the denominator is 100.
Now, both the top and the bottom can be divided by 2. So:
~Hope this helped :)
54 percent is equivalent to the fraction 27/50 in simplest form as per the simplification rule.
To express 54 percent as a fraction in simplest form, we need to understand that percent means "per hundred." Therefore, 54 percent can be written as 54/100. To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which in this case is 2.
Dividing 54 by 2 gives us 27, and dividing 100 by 2 gives us 50. Thus, the fraction 54/100 simplifies to 27/50.
In conclusion, 54 percent is equivalent to the fraction 27/50 in simplest form. This means that if we divide something into 50 equal parts and take 27 of those parts, it represents 54 percent of the whole.
It is important to note that a fraction is considered to be in simplest form when the numerator and denominator have no common factors other than 1. Therefore, 27/50 cannot be simplified any further and is the simplest representation of 54 percent as a fraction.
To learn more about the percentage;
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The complete question:
What is 54 percent as a fraction in simplest form?
Answers
Answer:
Step-by-step explanation:
Cm : km
1 : 2.3
x : 69 Cross multily
2.3x = 69
x =
x = 30cm
the distance between the two towns on the map is 30cm
Answer:
30 cm
Step-by-step explanation:
69/2.3 = 30
Answers
Answer:
C. $144,200
Step-by-step explanation:
We have been given that a borrower's monthly interest payment on an interest-only loan at an annual interest rate of 7.3% is $877.
To find the loan amount, we will use simple interest formula.
, where,
I = Amount of interest,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
One month will be equal to 1/12 year.
Upon substituting our given values in simple interest formula, we will get:
Upon rounding to nearest hundred, we will get:
Therefore, the loan amount was $144,200 and option C is the correct choice.
Answers
Answer:
a.y=-x½+5
Step-by-step explanation:
from the above functions ,the highest degree or power is ½ on a.⅓,¼,⅙ are smaller than ½
A 30 20
B 52 48
What conclusion can be drawn about the number of trials and the probability of the coin landing on heads or tails?
Answers
Head = 1/2 or 50%
Tail = 1/2 or 50%
Group Heads Tails Total
A 30 20 50
B 52 48 100
Experimental probability:
Group A:
Heads : 30/50 = 60%
Tails: 20/50 = 40%
Group B:
Head: 52/100 = 52%
Tails: 48/100 = 48%
Experimental probabilities of Group B is closer to the theoretical probabilities.