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Nana76 [90]
3 years ago
14

Finding the sum. imaginary numbers! hellpp

Mathematics
1 answer:
Neko [114]3 years ago
3 0
The "i" in this problem actually doesn't represent imaginary numbers. This is a summation problem which is asking for the sum of (2i+1) for when i = 1 to i = 7.

So (2(1) + 1) + (2(2) + 1) + (2(3) + 1) + (2(4) + 1)... etc...

The summation rules we need to know for this problem are for constants and for a single variable.

When we have a constant, the summation rule is n*c where n is the number of times.

When we have a single variable, the summation rule is n(n+1)/2.

So applying the summation rules where n = 7:

2(7)(7+1)/2 + 1(7)

(7)(8) + 7 = 63

The answer to the summation is 63.
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For the school concert band performance student tickets cost eight dollars each and adult tickets cost $12 each the seller is co
Alexxandr [17]
S + a = 300...s = 300 - a
8s + 12a = 3200

8(300 - a) + 12a = 3200
2400 - 8a + 12a = 3200
-8a + 12a = 3200 - 2400
4a = 800
a = 800/4
a = 200 <==== 200 adult tickets

s = 300 - a
s = 300 - 200
s = 100 <=== 100 student tickets
8 0
4 years ago
An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4
densk [106]

Answer:

Step 1

Write and solve the inequality:

2,500 + 40a ≥ 4,000, or 40a ≥ 1,500

a ≥ 37.5

Step 2

If the shelter places 30 cats and 10 dogs,

or 40 animals, that will be enough to meet

its goal, because a = 40 is a solution to the

inequality a ≥ 37.5.

5 0
3 years ago
A rectangle field is 350 meters long and 300 meters wide. What is the area of the field in square kilometers
balu736 [363]

Okay, so a kilometer=1000 meters, knowing that we can multiply 350*300 for the area, which would give us 105000 meters squared, then we divide 105000 by 1000, giving us 105 square kilometers.

4 0
3 years ago
A mixture of concrete is made up of sand and cement in the ratio of 5:3.How many cubic centimeters of sand is needed to make 160
bazaltina [42]

Answer: 100\ cm^3

Step-by-step explanation:

Given

The ratio of mixture of sand and cement is 5:3

If the total volume of mixture is 160\ cm^3

Suppose there is 5x and 3x cubic centimeter of sand and cement respectively i.e.

\Rightarrow 5x+3x=160\\\Rightarrow 8x=160\\\Rightarrow x=20\ cm^3

Sand 5x=5\times 20=100\ cm^3

So, there is 100\ cm^3 of sand in the mixture

3 0
3 years ago
Assume that when adults with smartphones are randomly​ selected,41 ​% use them in meetings or classes. If 5 adult smartphone use
kotegsom [21]

Answer:

0.345

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

n = 5, r = 2, p = 0.41, and q = 0.59.

P = ₅C₂ (0.41)² (0.59)⁵⁻²

P = 0.345

3 0
3 years ago
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