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2 years ago

Help please thank you so much

Mathematics

1 answer:

aleksandr82 [10.1K]2 years ago

8 0

Answer:

it is a function because it doesn't have two x coordinates at the same y coordinate.

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What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47+ ...?

Alex

Answer:

$\huge\boxed{18,475}$

Step-by-step explanation:

The terms of this sum make the arithmetic sequence.

The fomula of a sum of n terms of an arithmetic sequence:

$S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}$

We have

$a_1=2\\d=17-2=32-12=47-32=15\\n=50$

Substitute:

$S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475$

3 0

2 years ago

The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers.

guajiro [1.7K]

Answer: the player answered 30 questions correctly.

Step-by-step explanation:

Let x represent the number of questions that the player answered correctly.

Let y represent the number of questions that the player answered incorrectly.

The number of questions that the player answered is 40. It means that

x + y = 40- - - - - - - - - - -1

The score on the trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If the player obtained a score of 50, It means that

2x - y = 50

y = 2x - 50

Substituting y = 2x - 50 into equation 1, it becomes

x + 2x - 50 = 40

3x - 50 = 40

3x = 40 + 50 = 90

x = 90/3

x = 30

5 0

2 years ago

S=L−rL solve for r Please solve this fast for much points.

podryga [215]

Subtract L from both sides.
the expression now becomes,
S−L=−rL
2)Divide by L on both sides.
S−LL=−r
3)Multiply with a negative sign on both sides in the final step to obtain the expression in terms of r so the answer is #(L-S)/L = r#

3 0

2 years ago

10.

Reika [66]

Answer:

Length of arc = 5 cm (Approx)

Step-by-step explanation:

Given:

Radius of circle = 20 cm

Angle = 1/4 radian

Find:

Length of arc