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Gekata [30.6K]
3 years ago
11

What is the sum of the first five terms of the geometric series 2 − 8 + 32 −

Mathematics
1 answer:
MrMuchimi3 years ago
5 0

Answer:

∑ (n = 1 to 5) (2·(-4)^(n - 1))

S5 = 2·((-4)^5 - 1)/((-4) - 1) = 410


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Evaluate the expression shown below and write your answer as a fraction in simplest form.
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Answer:

39/80

Step-by-step explanation:

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Marysya12 [62]

Answer:

i believe it is x=4

Step-by-step explanation:

10x+7=12x-1

7=12x−1−10x

8=2x

divide

x=4

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Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 6-inch radius A = sq. in.
katovenus [111]
\bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad 
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Please help with question 2, I’m too tired to think right now, and it’s for my little sister and it’s due tomorrow! Ignore the n
marishachu [46]

Answer:

2000 L

Step-by-step explanation:

There are 1250 L of water in a tank at present. If the tank is 0.625 full, what is the capacity of the tank?

The simple solution is:

1250 L ÷ 0.625 = 2000 L

The algebraic solution is:

Let <em>c</em> equal the capacity of the tank.

Therefore, <em>c</em> × 0.625 = 1250.

Divide both sides by 0.625:

<em>c</em> × 0.625 ÷ 0.625 = 1250 ÷ 0.625

And simplify:

<em>c</em> = 1250 ÷ 0.625

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5 0
3 years ago
Can someone answer this question please?
Slav-nsk [51]

Answer:

Therefore,

(x , y)                YES / NO

(-4, -5)           Yes, It is a Solution.

(1 , - 3)           No, not a Solution.

(9 , 6)            No, not a Solution.

(-6 , 2)           No, not a Solution.

Step-by-step explanation:

Given:

4x-7y=19

To Determine:

Given ordered pair is a solution or not ?

Solution:

For (-4,-5)  

Substitute x = -4 and y = -5 in above equation

Left Hand Side   = 4 × (-4) - 7 × (-5)

                           = -16+35

                           = 19

Right Hand Side = 19

Left Hand Side = Right Hand Side  

Satisfied

Hence (-4, -5) is the SOLUTION to 4x - 7y =19  (YES)

For (1, -3)  

Substitute x = 1 and y = -3 in above equation

Left Hand Side = 4 × (1) - 7 × (-3)

                         = 25

Right Hand Side = 19

Left Hand Side ≠ Right Hand Side  

Not Satisfied

Hence (1, -3) is NOT the Solution to 4x - 7y =19  (NO)

For (9, 6)  

Substitute x = 9 and y = 6 in above equation

Left Hand Side = 4 × (9) - 7 × (6)

                         = -6

Right Hand Side = 19

Left Hand Side ≠ Right Hand Side  

Not Satisfied

Hence (9, 6) is NOT the Solution to 4x - 7y =19  (NO)

For (-6, 2)  

Substitute x = -6 and y = 2 in above equation

Left Hand Side = 4 × (-6) - 7 × (2)

                         = -38

Right Hand Side = 19

Left Hand Side ≠ Right Hand Side  

Not Satisfied

Hence (-6, 2) is NOT the Solution to 4x - 7y =19  (NO)

Therefore,

(x , y)                YES / NO

(-4, -5)           Yes, It is a Solution.

(1 , - 3)           No, not a Solution.

(9 , 6)            No, not a Solution.

(-6 , 2)           No, not a Solution.

6 0
3 years ago
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