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3 years ago

What is ∑[100(−4)n−1] equal to? 4 is on top n=1 on bottom

Mathematics

2 answers:

saveliy_v [14]3 years ago

8 0

4
 ∑ [100(−4)n−1]
n=1

Once again, since this is summation notation:

Start at the number on the bottom. Plug in that number to the equation on the right, plug in the next number into the equation on the right, and so on, until you get to the number on top. Plug in that final number, and after you get the solution, add all the solutions you have all together.

One thing though: the bottom number cannot be bigger than the number on top.

n=1; 100 x (-4) x (1) - 1 = -401
n=2; 100 x (-4) x (2) - 1 = -801
n=3; 100 x (-4) x (3) - 1 = -12001
n=4; 100 x (-4) x (4) - 1 = - 16001

-401-801-12001-16001 = -29204

antiseptic1488 [7]3 years ago

5 0

Answer:

I tried using that other answer but it wasn't correct, this is the right answer!!!

Step-by-step explanation:

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Which angle pairs are supplementary? Check all that apply.

Zina [86]

Answer:

Supplementary Angles are two angles the sum of whose measures is 180º. Supplementary angles can be placed so they form a linear pair (straight line), or they may be two separate angles.

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3 years ago

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The safety instructions for a 20 foot ladder say the ladder should not be inclined more than 70 degrees with the ground. suppose

Romashka [77]

Answer: the distance of the base of the house to the foot of the ladder is 6.84 feet

Step-by-step explanation:

The scenario is shown in the attached photo.

Right angle triangle ABC is formed when the ladder leans against the wall of the house.

AC = the height of the ladder

AB = x feet = distance of the base of the house to the foot of the ladder

BC is the wall of the building.

To determine x, we will apply trigonometric ratio

Cos # = adjacent/hypotenuse

Where

# = 70 degrees

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Adjacent = x

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x = 20cos70

x = 20 × 0.3420

x = 6.84 feets

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3 years ago

Mr.marquez had 123 eggs in a refrigerator in his restaurant.he put 32 more cartons of eggs in the refrigerator each carton conta

Reil [10]

Mr. Marquez has about 720 eggs.

8 0

4 years ago

2. Which of the following are terms of the series with nth term T-3n +17? a) 80 b) 170 c)217 d) 312 e) 278 f) 3566

pishuonlain [190]

Answer:

The correct options are a,b,e and f.

Step-by-step explanation:

It is given that the nth terms of the series is defined as

$T_n=3n+17$

Subtract 17 from both the sides.

$T_n-17=3n$

Divide both sides by 3.

$\frac{T_n-17}{3}=n$

The term Tₙ is a term of given series if n is a positive integer.

(a) The given term is 80.

$n=\frac{80-17}{3}=21$

Since n is a positive integer, therefore 80 is a term of given series.

(b) The given term is 170.

$n=\frac{170-17}{3}=51$

Since n is a positive integer, therefore 170 is a term of given series.

$n=\frac{217-17}{3}=66.67$

Since n is not a positive integer, therefore 217 is a term of given series.

(d) The given term is 312.

$n=\frac{312-17}{3}=98.33$

Since n is not a positive integer, therefore 312 is a term of given series.

(e) The given term is 278.

$n=\frac{278-17}{3}=87$

Since n is a positive integer, therefore 278 is a term of given series.

(f) The given term is 3566.

$n=\frac{3566-17}{3}=1183$

Since n is a positive integer, therefore 3566 is a term of given series.

Thus, the correct options are a, b, e and f.

7 0

3 years ago

X^2-4x+3=0 solutions larger and smaller solutions

andrew11 [14]

Answer:

x = 3 or x = 1

Step-by-step explanation:

Solve for x over the real numbers:

x^2 - 4 x + 3 = 0

Subtract 3 from both sides:

x^2 - 4 x = -3

Add 4 to both sides:

x^2 - 4 x + 4 = 1

Write the left hand side as a square:

(x - 2)^2 = 1

Take the square root of both sides:

x - 2 = 1 or x - 2 = -1

Add 2 to both sides:

x = 3 or x - 2 = -1

Add 2 to both sides:

Answer: x = 3 or x = 1

5 0

3 years ago