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irina1246 [14]
3 years ago
10

A(2,y)∈ d:2x-3y+5=0 .y=?

Mathematics
1 answer:
lions [1.4K]3 years ago
4 0
Brainly isnt good for math go to the website math way
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A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021
egoroff_w [7]

The sum of the given series can be found by simplification of the number

of terms in the series.

  • A is approximately <u>2020.022</u>

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

  • \displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

  • \displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}

Therefore, for the last term we have;

  • \displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

\displaystyle \frac{A}{2}  = \mathbf{ 1011 \cdot  \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460}  \right)}

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2} +\frac{1}{2} -  \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022}  \right)

Which gives;

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2022}  \right)

\displaystyle  A = 2 \times 1011 \cdot  \left(1 - \frac{1}{2022}  \right) = \frac{1032231}{511} \approx \mathbf{2020.022}

  • A ≈ <u>2020.022</u>

Learn more about the sum of a series here:

brainly.com/question/190295

8 0
2 years ago
Read 2 more answers
What are the coordinates of the midpoint of the line segment with endpoints 2,5 and 4,-7
Phoenix [80]
<h3>Answer:   (3, -1)</h3>

===============================================

Explanation:

The midpoint formula is (x_m, y_m) = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)

This basically says to add the corresponding coordinates and divide by 2.

The given points (2,5) and (4,-7) have x coordinates of 2 and 4. They add to 2+4 = 6, and then that result cuts in half to 6/2 = 3. The x coordinate of the midpoint is 3.

The y coordinate of the midpoint is y = -1 since adding the y coordinates of the given points leads to 5+(-7) = -2 which cuts in half to -1.

So overall the midpoint is located at (3, -1)

8 0
2 years ago
Dominic spent 2 3/4 hours on art project. Rachel worked 1 1/3 times as long. How many hours did Rachel work for?
N76 [4]
3 and 2/3 hours. 

Multiply the number of hours Dominic spent by the scale factor. 
3 0
3 years ago
Read 2 more answers
An artist wants to frame a square painting with an area of 400 square inches if x is the length of the one side of the painting
tatuchka [14]

There is only one solution to the equation.  A quadratic equation has 2 solutions a positive and a negative, but since we are looking for length, the answer can only be postive.  Area= side^2

              400= x^2

         sqrt(400)=x

          20 inches = x  

The length of one side is 20 inches


check: 20*20 = 400, which is the area of the square painting.

8 0
3 years ago
PLEASE HELP! :)<br> IM SUPER BEHIND ON MY MATH AND NEED HELP!<br> ANGLES!
Pie

Answer:

1. X=95

2. M=60

3.R=70

4.Q=75

5.A=75

6.B=105

7. ∠ACB = ∠BCA

8. ∠DEG = 75

9.∠FOE = 64 ∠COF = 116

10. ∠COE = 137 ∠DOE= 43

11.  ∠WXZ = 149

12. ∠RSZ = 99.5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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