Answer:
-50
Step-by-step explanation:
1 - 2 + 3 - 4 + 5 - 6 + 7 - 8...99 - 100
just means,
1 - 2 = -1
3 - 4 = -1
5 - 6 = - 1
7 - 8 = - 1
99 - 100 = -1
basically, -1 + -1 + -1 + -1 + ....+ -1 or -1 - 1 - 1 - 1 - ... - 1
Treating Grandi's series as a divergent geometric series we may use the same algebraic methods that evaluate convergent geometric series to obtain a third value:
S = 1 − 1 − 1 + ..., so
1 − S = 1 − (1 − 1 − 1 ...) = 1 − 1 − 1 ... = S
1 - S = S
1 = 2*S
resulting in S = 1/2. The same conclusion results from calculating −S, subtracting the result from S, and solving 2S = 1
1/2 of the last term is 100 x 1/2 = 50
This because you are using 2 numbers per -1
example: 1 - 2 = -1 or 3 - 4 = -1 resulting in 50 of the -1 being subtracted
Answer:
12 L 500 mL
Step-by-step explanation:
First, multiply the two types of bottles separately.
5 × 400 = 2000 mL
7 × 1.5 = 10.5 L
You can convert the volume of the first from milliliters to liters. There are 1000 milliliters in 1 liter. In the second volume, you can convert the decimal to milliters.
2000 mL = 2 L
0.5 L = 500 mL
Add all of the numbers together.
10 L + 2 L + 500 mL = 12 L 500 mL
Tony purchased 12 L and 500 mL of water.
Answer:
2.916666667%
Step-by-step explanation:
24*60=1440
1440x=42
x=42/1440
x = 2.916666667%
A right isosceles triangle has two 45 degree angles. This means the side lengths are the same, so if one leg is a, the other leg is also a.
The hypotenuse of an isosceles triangle is the length os a leg multiplied by the square root of 2.
The hypotenuse would be: a√2
8 - 5(12x + 8)
8 - 60x - 40
-60x + (8 - 40)
-60x - 32
hope that helps, God bless!
