Answer:
Arccos(0.9272) =0.383929333 radian
0.383929333 radian =(0.383929333*57.2957795)degrees
so, 21.99 degrees
Step-by-step explanation:
Rounding to the nearest we get 22 degrees
We know that,
1 radian is equal to 57.2957795
so we multiply the radian value 0.383929333 with it
Let 11x + 15y + 23 = 0 be equation (1)
And 7x - 2y - 20 = 0 be equation (2)
Multiply equation (1) by 2:
22x + 30y + 46 = 0
Multiply equation (2) by 15:
105x - 30y - 300 = 0
Add equations (1) and (2):
22x + 105x + 30y - 30y + 46 - 300 = 0
127x - 254 = 0
127x = 254
x = 254/127
[x = 2]
Substitute x = 2 in equation (1) to find y:
11(2) + 15y + 23 = 0
22 + 15y + 23 = 0
15y + 45 = 0
15y = -45
y = -45/15
y = -3
Therefore, x = 2 and y = -3.
Answer:
aₙ= -2n²
Step-by-step explanation:
<h2><u>Solution 1:</u></h2>
The sequence:
The difference between the terms:
- a₁= -2
- a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)
- a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)
- a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)
- ...
- aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²
As per above, the nth term is: aₙ= -2n²
<h2><u /></h2><h2><u>Solution 2</u></h2>
The sequence:
- -2, -8, -18, -32, -50
- -2*1, -2*4, - 2*9, -2*25
- -2*1², -2*2², -2*3², -2*4², -2*5², ..., -2*n²
- aₙ= -2n²
Graph the equation in a graphing calculator or in the table in a regular calculator and look for the zero on the x axis and the y axis
Answer:5
Step-by-step explanation:>
Which exponential function is represented by the
graph?
9
8Hold on, our servers are swamped. Wait for your answer to fully load.
7
6
5
5
4
o f(x) = 2( 3 )
O f(x) = {(2Y
o f(x) = {(
4
3
2-
(1.1
61,0.25) 17
7605
Of(x) = 2(2)
-5 4 3 2 1
1 2 3 4
5