Answer:
- Josh's book lands first
- Ben's lands about 0.648 seconds later
Step-by-step explanation:
Using the given equation for v=60 and s=40, the height of Ben's book is ...
h(t) = -16t² +60t +40
We want to find t when h(t) = 0, so we're looking for the solution to ....
0 = -16t² +60t +40
Using the quadratic formula, we find the positive value of t to be ...
t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277
__
Similarly, the height of Josh's book is ...
0 = -16t² +48t +40
t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794
__
The time before Josh's book lands is shorter by ...
4.3277 -3.6794 ≈ 0.6482 . . . . . seconds
Josh's book reaches the ground first, by about 0.648 seconds.
The answer to the question above is letter B. The new car depreciates at the rate of 15% per year. The expected value of the car after 5 years is $11,093. to explain the calculation of the answer :
year amount % interest total 1 25000 0.15 3750 21250 2 21250 0.15 3187.5 18062.5 3 18062.5 0.15 2709.375 15353.13 4 15353.13 0.15 2302.969 13050.16 5 13050.16 0.15 1957.523 11092.63
Can i get brainliest please?
Answer:
30%
Step-by-step explanation:
Relative frequency : total number of diamonds / total number of cards drawn = 11/40=0.3
The answer is 30%
Answer:
Height of the square pyramid is 6.569 centimeter
Step-by-step explanation:
The volume of the square pyramid is 94.5 cubic centimeters
The height of the square pyramid will be equal to the lengths of the sides of the square.
The volume of the square pyramid is given by
or
![\frac{a^3}{3} = 94.5\\a^3 = 94.5 *3\\a = \sqrt[3]{94.5*3} \\a = 6.569](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E3%7D%7B3%7D%20%20%3D%2094.5%5C%5Ca%5E3%20%3D%2094.5%20%2A3%5C%5Ca%20%3D%20%5Csqrt%5B3%5D%7B94.5%2A3%7D%20%5C%5Ca%20%3D%206.569)
centimeter
Height of the square pyramid is 6.569 centimeter
Why? how much points do you have to spare?
