Answer:
459 students.
Explanation:
Since you are given the number of how many students are in each section, simply multiply to find the total answer.
27 x 17 = 459
There are 459 students.
Answer:
The first 5 terms are;
-2, 2, 13,38 and 91
Step-by-step explanation:
Here, we want to write the first 5 terms of the sequence.
We already have the first term as 1
Now, we need the 2nd term
Putting two in place of n, we have ;
2f(1) + 3n
= 2(-2) + 3(2) = -4 + 6 = 2
For the 3rd term, put 3 in place of n
2f(2) + 3(3)
sine f(2) = 2, we have
2(2) + 9 = 4+ 9 = 13
For the fourth term, put 4 in place of n, we have
2f(3) + 3(4)
since f(3) = 13
we have; 2(13) + 12 = 26 + 12 = 38
For the 5th term, put 5 in place of n, we have
2f(4) + 3(5)
since f(4) = 38, we have
2(38) + 15 = 76 + 15 = 91
Answer:
b
Step-by-step explanation:
8×19= 152
1 : 4.5
152×4.5=684
(1/4)^-2 - (5^0 x 2) x 1^-1 =
(4/1)^2 - (1 x 2) x 1 = 16-2 = 14
If you raise something to the power of -2, swap numerator and denominator and remove the minus.
So (1/4)^-2 = 4^2 = 16
Also 1^-1 is just 1, not -1.
Answer:
The solutions on the given interval are :




Step-by-step explanation:
We will need the double angle identity
.
Let's begin:

Use double angle identity mentioned on left hand side:

Simplify a little bit on left side:

Subtract
on both sides:

Factor left hand side:
![\sin(x)[4\cos(x)-1]=0](https://tex.z-dn.net/?f=%5Csin%28x%29%5B4%5Ccos%28x%29-1%5D%3D0)
Set both factors equal to 0 because at least of them has to be 0 in order for the equation to be true:

The first is easy what angles
are
-coordinates on the unit circle 0. That happens at
and
on the given range of
(this
is not be confused with the
-coordinate).
Now let's look at the second equation:

Isolate
.
Add 1 on both sides:

Divide both sides by 4:

This is not as easy as finding on the unit circle.
We know
will render us a value between
and
.
So one solution on the given interval for x is
.
We know cosine function is even.
So an equivalent equation is:

Apply
to both sides:

Multiply both sides by -1:

This going to be negative in the 4th quadrant but if we wrap around the unit circle,
, we will get an answer between
and
.
So the solutions on the given interval are :



