What is the sum if the first 22 terms of the following series? 86 + 79 + 72 + 65 +58+...

Answers

Answer 1

Answer: seems to be an arythmetic sequence
Sn=[n(a1+an)]/2
where
Sn means sum of all terms up the nth term
n=number of terms
a1=first term
an=nth term

so from 86 to the 22th term is from a1 to a22

find teh sequence
miknus 7 each time
an=a1+d(n-1)
an=87-7(n-1)
find 22n term
a22=87-7(22-1)
a22=87-7(21)
a22=87-147
a22=-60

S22=[22(87-60)]/2
S22=[22(27)]/2
S22=594/2
S22=297

the sum is 297

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If o is in the middle of l t, where exactly is it located? If l t =16 cm, what is l o and o t

Answers

Answer:

$LO = OT = 8cm$

Step-by-step explanation:

Given

LT = 16cm

Required

Determine LO and OT

First, we have:

$LO + OT = LT$

From the question, we understand that O is the middle of LT

This implies that LO = OT

Substitute OT for LO in the above formula

$OT + OT = LT$

$2OT = LT$

Divide both sides by 2

$OT = (1)/(2)LT$

Substitute 16cm for LT

$OT = (1)/(2) * 16cm$

$OT = 8cm$

Recall that LO = OT

So;

$LO = OT = 8cm$

The probability of event X is 30%. The probability of event Y is 40%. If events X and Y are mutually exclusive, what is the probability of event X or Y?70%

12%

10%

35%

Answers

The answer is 70%

Extra words because my answer was too short LOL

Find the distance between the two points (6, -2), (1, -5)

Answers

Answer:

5.83095

Step-by-step explanation:

X1= 6

X2= 1

Y1 = -2

Y2= -5

Distance Formula = √(X2-X1)²+ (Y2-y1)²

Step 1. calculate (X2-X1)²

(1 - 6)2 = 25

Step 2. calculate (Y2-Y1)²

(-5 - -2)2 = 9

Step 3. calculate √25 + 9

= 5.83095

Malachy was thinking of a number. Malachy halves the number and gets an answer of 67.3.Form an equation with x from the information.

Answers

Step-by-step explanation:

Let the number be x.

ATQ,

Malachy halves the number and gets an answer of 67.3.

$(x)/(2)=67.3$

This the equation for the given statement.

It can also be written as :

$x=2* 67.3\n\nx=134.6$

Hence, this is the required solution.

Whats the difference of 89,24&17

Answers

To find the "difference of"You will need to subtract.
So you need to subtract 8924-17
and that gives you 8907
Therefore the answer is 8907.

What is the value of the expression below?8^1/3

A. 4
B.8/3
C.2/3
D. 2.

Answers

The answer is 2. The power of 1/3 represents the cube root of a number. 2 multiplied by its self is 8.

Answer:

Step-by-step explanation:

8=2^3 so

(2^3)^(1/3)

2^(3(1/3))

2^1

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The median is the same thing as?Quartile 1Quartile 2Quartile 3None of the aboveOther:

A number x is no more than 9 units away from 8. Write and solve an absolute-value inequality to show the range of possible values of x.|x − 8| ≤ 9 −1 ≤ x ≤ 17 |x + 8| ≤ 9 −17 ≤ x ≤ 1 |x − 9| ≤ 8 1 ≤ x ≤ 17 |x + 9| ≤ 8 −17 ≤ x ≤ −1

Major axis 12 units long and parallel to the y-axis, minor axis 8 units long, center at (-2,5)