First make and equation. Since you want to find the number of the day where both charge the same total amount, you would make the equation:
let x= the number of days
110+46(x)=70+54(x)
Solve:
110-70+46(x)=70-70+54(x)
40+46(x)=54(x)
40+46(x)-46(x)=54(x)-46(x)
40=8(x)
40/8=8x/8
5=x
Therefore your answer would be 5 days
by the double angle identity for sine. Move everything to one side and factor out the cosine term.
Now the zero product property tells us that there are two cases where this is true,
In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of
, so
where
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which occurs twice in the interval
for
and
. More generally, if you think of
as a point on the unit circle, this occurs whenever
also completes a full revolution about the origin. This means for any integer
, the general solution in this case would be
and
.
Answer:
C. The electric car is not moving at 0 seconds and 12 seconds.
Step-by-step explanation:
Given:
The table given is:
x 0 2 4 6 8 10 12
y 0 45 72 81 72 45 0
From the above table, we observe that the car starts from rest and its speed increases from 0 to 6 seconds, the maximum speed being 81 mph.
After 6 seconds, the speed of the car goes on decreasing till it stops at time equal to 12 seconds.
So, the speed of the car at the start when 
is 0 mph as it is at rest at that time.
Also, when the time is 
, the car has come to a stop and thus its speed has reduced to 0 mph again. So, the car is not moving after 12 seconds.
From the above conclusion, we can say that only option C is correct.
The electric car is not moving at 0 seconds and 12 seconds.
Answer:
2.99m-4 (less than or equal to symbol after) 20
Step-by-step explanation:
This would come out too 5 movies because 20-4= 16 16-2.99=5.3 but it is impossible to buy 5.3 movies so you would round it down to 5
Answer:
x = 47
Step-by-step explanation:
86° and 2x° are supplementary angles, which means that added together they should equal 180° (which is a line). Aka
86 + 2x = 180 (Let's solve for x) (subtract both sides by 86 to get x on one side)
2x = 94 (divide both sides by 2 to get x by itself)
x = 47
