Answer:
Step-by-step explanation:
Given the equation of motion;
S = ut + 1/2 at² where;
u is the initial velocity,
a is the acceleration, and;
t is the time.
We are to express a in terms of u, t and S
Making a the subject of the formula;
S = ut + 1/2 at²
S-ut = 1/2at²
2(S-ut) = at²
a = 2(S-ut)/t²
Hence the acceleration a in terms of other variables is expressed as a = 2(S-ut)/t²
Answer:
x=2, -4, -1
Step-by-step explanation:
-x³-3x²+6x+8=0
Multiply entire equation by -1:
x³+3x²-6x-8=0
Since x=2 is a solution, then x-2 must be a factor. Then:
x³+3x²-6x-8/x-2=x²+5x+4
x²+5x+4=0
Factor this:
x²+5x+4=(x+4)(x+1)=0
x=-4, -1
x=2, -4, -1
From the information given, she owes her parents a total of $1854.
She will take a period of 18 months to repay the whole loan.
We first find out the how much is each installment per month.
We divide the whole amount by 18 months so 1854/18 = $103
If she pays 103 dollars per month, then at one year (12 months) she would have paid: 103 × 12 = 1,236 dollars.
She would owe 1854 - 1236 = 618
There she would still be owing her parents $ 618 after one year.
I’m pretty sure that it would be C because it’s the only one that has to do with students that eat lunch
Answer:
56 - 9π
Step-by-step explanation:
To find the area of the shaded region, you must find the area of the rectangle then subtract the area of the circle inside.
Area of the Rectangle: length x width
8*7=56
Area of the circle: πr^2
π*3^2 = 9π
Area of shaded region = 56 - 9π
