Answer:
7.5 quarts of olive oil remain.
Explanation:
Let
q = quarts of olive oil remain
<span>25%</span> of olive oil remains means that <span>75%</span> has been used.
22<span>12</span> quarts = 22.5 quarts used
<span><span>22.5.75</span>=<span>q.25</span></span>
Multiply both sides by .25 to isolate q.
<span><span>22.5.75</span><span>(.25)</span>=<span>q.25</span><span>(.25)</span></span>
<span><span>5.625.75</span>=q</span>
<span>7.5=<span>q</span></span>
This is the concept of algebra, to solve the expression we proceed as follows;
cos 2x-cosx=0
cos 2x=cosx
but:
cos 2x+1=2(cos^2x)
thereore;
from:
cos 2x=cos x
adding 1 on both sides we get:
cos 2x+1=cos x+1
2(cos^2x)=cosx+1
suppose;
cos x=a
thus;
2a^2=a+1
a^2-1/2a-1/2=0
solving the above quadratic we get:
a=-0.5 and a=1
when a=-0.5
cosx=-0.5
x=120=2/3π
when x=1
cos x=1
x=0
the answer is:
x=0 or x=2/3π
To write 3482000000 in scientific notation. Put down the first number (3) and all numbers that come after it (not 0) put after a decimal point. Then count all of the numbers after the decimal points including 0's and that's your exponent. Like so,
3.482*10^9
Hope this helps!=)
Answer:
-2
Step-by-step explanation:
f(t) = t^2 – 2t – 2
To find f(0), replace t with 0 in the expression and evaluate the expression.
f(0) = 0^2 – 2(0) – 2
f(0) = -2
Answer:
36
Step-by-step explanation:
18=a/2
2*18=a
36=a
