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2 years ago

Find the 11th partial sum of the summation of negative 7i plus 22, from i equals 1 to infinity.

1 answer:

4 0

The answer is -220
What you do is take -7 and multiply that by (1+2+3+4+5+6+7+8+9+10+11) and then after that add 11 again and multiply it by 22. It would look like this.

-7 x (1+2+3+4+5+6+7+8+9+10+11) +11 x 22

Simplify that to -7 x 66 +11 x 22

now multiply -7 and 66 to get -462

-462 +11 x 22

multiply 11 and 22

-462 + 242

and your final answer will be -220

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Given f(x)=4x+5 and g(x)= x^2+x; find (f∘g)(-5) Please show all steps thank you

Greeley [361]

Answer:

$(f\circ g)(-5)=85$

Step-by-step explanation:

We are given:

$\displaystyle f(x)=4x+5\text{ and } g(x)=x^2+x$

And we want to find:

$(f\circ g)(-5)$

This is equivalent to:

$\displaystyle =f(g(-5))$

So, we will evaluate g(-5) first, which yields:

$\displaystyle g(-5)=(-5)^2+(-5)=25-5=20$

So:

$=f(g(-5))=f(20)$

Then:

$\displaystyle f(20)=4(20)+5=80+5=85$

Therefore:

$(f\circ g)(-5)=85$

6 0

3 years ago

(10 POINTS IF YOU ANSWER) a rectangular garden measures 5 feet by 4 feet. The length and width are both increased by the same am

WINSTONCH [101]

I think they both increased by 3 and the new dimensions is 8 ft by 7 ft

4 0

3 years ago

Read 2 more answers

What is the value of x in the equation 13 x minus 2 (8 + 5 x) = 12 minus 11 x?

zavuch27 [327]

Answer:

x = 2

Step-by-step explanation:

Step 1: Convert words into an expression

What is the value of x in the equation 13 x minus 2 (8 + 5 x) = 12 minus 11 x?

13x - 2(8 + 5x) = 12 - 11x

Step 2: Distribute

13x - 2(8 + 5x) = 12 - 11x

13x - 16 - 10x = 12 - 11x

Step 3: Solve for x

13x - 16 - 10x + 11x + 16 = 12 - 11x + 11x + 16

14x / 14 = 28 / 14

x = 2

Answer: x = 2

5 0

3 years ago

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Craig is folding laundry for his family. in the basket 1/6 of the shorts belong to his older brother and 3/6 of the shirts belon

marishachu [46]

I'm assuming you meant shirts instead of shorts for the older brother.

1/6 + 3/6 = 4/6

4/6 of the shirts belong to his brothers
(or 2/3 if you simplify the fraction)

5 0

3 years ago

P(A)* P(B)≠ p(AnB) Why does it contain a not equal to sign

RoseWind [281]

Answer:

P(A|D) and P(D|A) from the table above are not equal because P(A|D) = and P(D|A) =

Step-by-step explanation:

Conditional probability is the probability of one event occurring with some relationship to one or more other events

P(A|D) is called the "Conditional Probability" of A given D

P(D|A) is called the "Conditional Probability" of D given A

The formula for conditional probability of P(A|D) = P(D∩A)/P(D)

The formula for conditional probability of P(D|A) = P(A∩D)/P(A)

The table

↓ ↓ ↓

: C : D : Total

→ A : 6 : 2 : 8

→ B : 1 : 8 : 9

→Total : 7 : 10 : 17

∵ P(A|D) = P(D∩A)/P(D)

∵ P(D∩A) = 2 ⇒ the common of D and A

- P(D) means total of column D

∵ P(D) = 10

∴ P(A|D) =

∵ P(D|A) = P(A∩D)/P(A)

∵ P(A∩D) = 2 ⇒ the common of A and D

- P(A) means total of row A

∵ P(A) = 8

∴ P(D|A) =

∵ P(A|D) =

∵ P(D|A) =

∵ ≠

∴ P(A|D) and P(D|A) from the table above are not equal

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers