So multiply both sides by 5x to make 4/5x a whole number. So you get 4+5<-15x. So then simplifying you add 4 and 5. You get 9<-15x. So now divide both sides by -15 and switch the < to > because you’re multiplying by a negative. So then you get x<-9/15
For this case we have the following equation of motion:
h (t) = -16t ^ 2 + 90t
Equaling the equation to zero we have:
-16t ^ 2 + 90t = 0
We look for the roots of the polynomial:
(t) (- 16t + 90) = 0
t1 = 0 (initial position)
t2 = 90/16 = 5.625 s (time it reaches the ground again)
Answer:
it will return to the ground in:
t = 5.625 s
First one:
cos(A)=AC/AB=3/4.24
cos(B)=BC/AB=3/4.24
Cos(A)/cos(B)=AC/AB / (BC/AB) = AC/AB * AB/BC = AC/BC=3/3=1
Second one:
To solve this problem, we have to ASSUME AFE is a straight line, i.e. angle EFB is 90 degrees. (this is not explicitly given).
If that's the case, AE is a transversal of parallel lines AB and DE.
And Angle A is congruent to angle E (alternate interior angles).
Therefore sin(A)=sin(E)=0.5
Using an exponential function, supposing that the value decays 10% a year, it is found that the current market value is $9,087.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, supposing a decay of 10% a year, and the original value of $13,850, the parameters are A(0) = 13850, r = 0.1.
Hence, the value of the car in 4 years is given by:
A(4) = 9087.
More can be learned about exponential functions at brainly.com/question/25537936
Answer:
The volume of coconut milk that can be stored in this coconut is 7.06858 in³.
Step-by-step explanation:
There are two spheres in the coconut, the external one which is delimited by the shell and the inner one that is delimited by the flesh of the coconut. Since the flesh has 1 inch thickness, then in order to calculate the inner diameter we need to subtract the outer diameter by two, because a path from one side of the shell to the other passing through the center goes through the flesh two times. We have:
inner diameter = outer diameter - 2 = 5 - 2 = 3 inches
inner radius = 3 / 2 = 1.5 inches
The volume of the inner sphere is:
volume = pi*r² = pi*(1.5)²
volume = 7.06858 in³
The volume of coconut milk that can be stored in this coconut is 7.06858 in³.