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schepotkina [342]
3 years ago
7

Struggling here. Any help is appreciated. Due date is Jan 6 for all my missing work. Trying to get done today what I can.

Mathematics
1 answer:
gtnhenbr [62]3 years ago
7 0

Answer:

what do need help in?

Step-by-step explanation:

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Show that the sum of the first 2n natural numbers is n(2n+1)
Leokris [45]

Answer:

This sum is the sum of an arithmetic sequence.  There is a formula for the sum of an arithmetic sequence which can be looked up or derived by a variety of means.

A nice approach for this sequence is the following.  Notice  that the sum of first and last number in the sequence is the same as the sum of the second and second last, and also the same as the sum of the third and third last, and so on.

There are n of these pairs.  So the desired sum is n x (first number + last number).   But the first number is 1 and the last on is 2n.   Thus the desired sum is n(1 + 2n).

Hope this helps!!

Mark Brainleast!!!!!!!!!!!

7 0
2 years ago
Read 2 more answers
Solve each equation for the indicated variable. u = -3a - 3 , for a
MAXImum [283]

Answer:

a = \frac{u + 3}{-3}

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 3 to both sides of the equation:

u = -3a - 3

u (+3) = -3a - 3 (+3)

u + 3 = -3a

Next, divide -3 from both sides of the equation:

(u + 3)/-3 = (-3a)/-3

a = (u + 3)/-3

a = \frac{u + 3}{-3}  is your answer.

~

8 0
3 years ago
juan needs to measure 6 cups of flour for a recipe.he only has a 1/4 cup measuring cup.how many times must he fill the measuring
Luba_88 [7]

Answer:

Juan would need to fill up the 1/4 measuring cup 24 times.

Step-by-step explanation:

So to measure one cup of flour with a 1/4 measuring cup, you would need to fill up the 1/4 measuring cup 4 times. Since we want 6 cups, you would need to fill up the 1/4 measuring cup 24 times. 6 times 4 = 24. Hope this helps!

7 0
3 years ago
the figure below has an volume of 108^3 in and a height of 9 in. what are the possible dimensions of the base?
Alenkinab [10]

Area of base

  • Volume/Height
  • 108/9
  • 12in²

So possible dimensions are optionB given

  • 1/2BH
  • 1/2(4)(6(
  • 2(6)
  • 12in²

Verified

7 0
2 years ago
Read 2 more answers
What is the y-intercept of the line shown? <br> -1<br> 0<br> 1
Hatshy [7]

Answer:

-1

Step-by-step explanation:

The y-intercept is where the line crosses the y-axis.

7 0
1 year ago
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