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kari74 [83]
3 years ago
13

Find S11 for 5 + 1 + (-3) + (-7) +…

Mathematics
2 answers:
ale4655 [162]3 years ago
7 0

Known :

a = 5

b = U2 - U1

= 1 - 5

= -4

Asked :

S11 = ...?

Answer :

Sn = n/2 (2a + (n-1) b)

S11 = 11/2 (2×5 + (11-1) (-4))

S11 = 11/2 (10 + 10 × (-4))

S11 = 11/2 (10 - 40)

S11 = 11/2 × (-30)

S11 = 11 × (-15)

S11 = <u>-</u><u>1</u><u>6</u><u>5</u>

<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

gregori [183]3 years ago
3 0
The answer for this is -165
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The coordinates of three vertices of square ABCD are A(−212,112),B(−212,−3), and C(2,112).
Lady_Fox [76]

Answer:

<em>P=760</em>

Step-by-step explanation:

Three of the coordinates of the square ABCD are A(-212,112) B(-212,-3) C(2,112). The image below shows the square is not ABCD but ABDC. In fact, this is not a square, as we'll prove later.

Note the x-coordinate of A and B are the same. It means this side is parallel to the y-axis. Also, the y-coordinate of A and C are the same, meaning this side is parallel to the x-axis. The missing point D should have the same x-coordinate as C and y-coordinate as B, i.e. D=(2,-3).

This shape has sides that are parallel to both axes.

To calculate the perimeter we find the length of two sides.

The distance from A to B is the difference between their y-axis:

w=112-(-3)=115

The distance from A to C is the difference between their x-axis:

l=2-(-212)=215

It's evident this is not a square but a rectangle. The perimeter is

P=2w+2l=330+430

P=760

7 0
3 years ago
Does the point(1, 8)satisfy the inequality y ≥ 6x + 2 ?
nalin [4]

Answer: Yes

Step-by-step explanation:

1. Substitute 1 for x

2. 6 times 1 is 6 plus 2 is 8

3.8 is equal to or greater than 8

4 0
3 years ago
The small submarine is at –1,320 feet in relation to sea level. The submarine needs to be 180 feet below sea level in 60 minutes
alexandr402 [8]

Answer:

The submarine needs to move up, so the rate the submarine needs to move is positive.

3 0
3 years ago
Read 2 more answers
On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she ha
Sveta_85 [38]

Answer:

a. P(X=50)= 0.36

b. P(X≤75) =  0.9

c. P(X>50)=  0.48

d. P(X<100) = 0.9

Step-by-step explanation:

The given data is

x                      25        50       75        100          Total

P(x)                0.16       0.36    0.38    0.10          1.00

Where X is the variable and P(X) = probabililty of that variable.

From the above

a. P(X=50)= 0.36

We add the probabilities of the variable below and equal to 75

b. P(X≤75) = 0.16+ 0.36+ 0.38= 0.9

We find the probability of the variable greater than 50 and add it.

c. P(X>50)= 0.38+0.10=  0.48

It can be calculated in two ways. One is to subtract the probability of 100 from total probability of 1. And the other is to add the probabilities of all the variables less than 100 . Both would give the same answer.

d. P(X<100)= 1- P(X=100)= 1-0.1= 0.9

8 0
3 years ago
Are the triangles shown congruent?
boyakko [2]

Answer:

the second one i think

Step-by-step explanation:

because both have 2 sides with 1 angle

5 0
3 years ago
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