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Alborosie
3 years ago
13

Someone please helpppp me with this problem

Mathematics
1 answer:
LenaWriter [7]3 years ago
7 0
From the slowest to fastest is D, A, C, B.
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200 σ j=1 2j( j 3) describe the steps to evaluate the summation. what is the sum?
ziro4ka [17]

The sum of the equation is  = 5494000.

<h3>What does summation mean in math?</h3>

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

<h3>Briefing:</h3>

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

<h3>Calculation according to the statement:</h3>

\sum_{j=1}^{200} 2 j(j+3)

simplifying them we get:

\sum_{j=1}^{200} 2 j^{2}+6 j

Split the summation into smaller summations that fit the summation rules.

\sum_{j=1}^{200} 2 j^{2}+6 j=2 \sum_{j=1}^{200} j^{2}+6 \sum_{j=1}^{200} j

\text { Evaluate } 2 \sum_{j=1}^{200} j^{2}

The formula for the summation of a polynomial with degree 2

is:

\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}

Substitute the values into the formula and make sure to multiply by the front term.

(2)$$\left(\frac{200(200+1)(2 \cdot 200+1)}{6}\right)$$

we get: 5373400

Evaluating same as above : 6 \sum_{j=1}^{200} j

we get: 120600

Add the results of the summations.

5373400 + 120600

= 5494000

The sum of the equation is  = 5494000.

To know more about  summations visit:

brainly.com/question/16679150

#SPJ4

6 0
2 years ago
The lengths of the sides of a triangle are represented by 3 consecutive even integers. if the perimeter of the triangle is 72 fe
iris [78.8K]
P = a + b + c
P = 72
a = x
b = x + 2
c = x + 4

72 = x + x + 2 + x + 4
72 = 3x + 6
72 - 6 = 3x
66 = 3x
66/3 = x
22 = x

x + 2 = 22 + 2 = 24
x + 4 = 22 + 4 = 26

the sides of ur triangle are : 22,24,26 <==
6 0
3 years ago
Find the value of x<br><br> 2+4( 3 + 2x ) = 3x + 8
solniwko [45]
2 + 4(3+2x) = 3x + 8

2 + 12 + 8x = 3x + 8

14 - 8 = 3x - 8x

6 = -5x

x = -6/5
8 0
3 years ago
Read 2 more answers
Avocados cost $3 per pound. write and graph an equation in two variables that represents the cost of buying avocados.
mezya [45]

Answer:

y = 3x

Step-by-step explanation:

sorry cant do the graph

6 0
3 years ago
Sandra has 1/2 of cup of sugar. She needs 3/4 of a cup of sugar to complete a recipe. What fraction of the required amount does
ValentinkaMS [17]
Example: Set up proportions.

3/4 cups → 1 batch
x cups → 2 batches

x = 2(3/4) = 6/4 = 1 1/2 cups

3/4 cups → 1 batch
y cups → 9 batches

y = 9(3/4) = 6 3/4 cups
7 0
3 years ago
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