Step-by-step explanation:
The simplest method is "brute force". Calculate each term and add them up.
∑ = 3(1) + 3(2) + 3(3) + 3(4) + 3(5)
∑ = 3 + 6 + 9 + 12 + 15
∑ = 45
∑ = (2×1)² + (2×2)² + (2×3)² + (2×4)²
∑ = 4 + 16 + 36 + 64
∑ = 120
∑ = (2×3−10) + (2×4−10) + (2×5−10) + (2×6−10)
∑ = -4 + -2 + 0 + 2
∑ = -4
4. 1 + 1/4 + 1/16 + 1/64 + 1/256
This is a geometric sequence where the first term is 1 and the common ratio is 1/4. The nth term is:
a = 1 (1/4)ⁿ⁻¹
So the series is:
5. -5 + -1 + 3 + 7 + 11
This is an arithmetic sequence where the first term is -5 and the common difference is 4. The nth term is:
a = -5 + 4(n−1)
a = -5 + 4n − 4
a = 4n − 9
So the series is:
T) -7x+10y=20. M) -3x+y=-2 - ,
2(8x-5y)=35(2) -1(x+y)=-6(-)
-7x+10y=20. -3x+y=-2
16x-10y=70. -x-y=6
9x=90. -4x=4
[x=10] [x= -1]
-7(10)+10y=20. -3(-1)+y=-2
-70+10y=20. 3+y=-2
10y=90. [y= -5]
[y=9]
Answer:
-16
Step-by-step explanation:
Answer:
1. measure of angle E is 90 degrees
2. Measure of angle F + measure of angle G is 90 degrees
Step-by-step explanation:
Angle E is 90 degrees because it is marked as a right angle (the square)
A triangle has 180 degrees so if E is 90 degrees then the other 2 also have to equal 90 degrees
False.
Lets say your original pay was $100
You get a 3% pay raise so that now makes your pay: 100 x 1.03 = $103
Now from 103 you get a 3% pay cut so after the pay cut your pay would be:
103 x (100%-3%) = 100 x 97% = 100 x 0.97 = $99.91
99.91 is less than your original pay of 100.
