Answer:
It would be 0
Step-by-step explanation:
234+(-234) = 0
unless you meant the absolute value of -234
then it would be 468
Answer:
D = 90°
E = 147°
F = 33°
Step-by-step explanation:
E:
E is 147°, because it is vertical to the angle 147°
F:
F is 33°, because 147* is its supplementary angle, or angles that add up to 180°
D:
D is worth 90°, because its supplement is worth 90°
-Chetan K
Find the next two terms in the given sequence, then write it in recursive form. A.) {7,12,17,22,27,...} B.) { 3,7,15,31,63,...}
iren [92.7K]
Answer:
A) a_n = 5n + 2
B) a_n = (2^(n + 1)) - 1
Step-by-step explanation:
A) The sequence is given as;
{7,12,17,22,27,...}
The differences are:
5,5,5,5.
This is an arithmetic sequence following the formula;
a_n = a_1 + (n - 1)d
d is 5
Thus;
a_n = a_1 + (n - 1)5
Now, a_1 = 7. Thus;
a_n = 7 + 5n - 5
a_n = 5n + 2
B) The sequence is given as;
{ 3,7,15,31,63,...}
Now, let's write out the differences of this sequence:
Differences are:
4, 8, 16, 32
This shows that it is a geometric sequence with a common ratio of 2.
In the given sequence, a_1 = 3 and a_2 = 7 and a_3 = 15
Thus, a_2 = 2a_1 + 1
Also, a_(2 + 1) = 2a_2 + 1
Combining both equations, we can deduce that: a_(n + 1) = 2a_n + 1
Thus; a_n can be expressed as:
a_n = (2^(n + 1)) - 1
The best way to solve is by using elimination method.
20x = -58 - 2y
17x = -49 - 2y
Multiply second equation by -1
20x = -58 - 2y
-17x = 49 + 2y
Add equations.
3x = -9
Divide.
x = -3
Plug in -3 into one of the equations.
17(-3) = -49 - 2y
-51 = -49 - 2y
Add 49 to both sides.
-2 = -2y
Divide.
1 = y
So your solution is (-3, 1).
I hope this helps love! :)
Answer:
Total amount spent for meal = $16.65
Step-by-step explanation:
Given:
Amount spent on dinner = $20
Tip = 20%
Find:
Total amount spent for meal
Computation:
Total amount spent for meal = Amount spent on dinner / (1+tip)
Total amount spent for meal = 20 / 1.2
Total amount spent for meal = 16.666
Total amount spent for meal = $16.65
