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Leona [35]
3 years ago
15

What is the remainder when x^2+5 is divided by x+1?

Mathematics
1 answer:
Alexeev081 [22]3 years ago
3 0

Answer: 6

The remainder theorem says that if we divide p(x) over x-k, then the remainder is r = p(k)

In this case, we have p(x) = x^2+5 and x-k = x+1 = x-(-1). So k = -1 is plugged into p(x) to get

p(x) = x^2+5

p(-1) = (-1)^2+5

p(-1) = 1+5

p(-1) = 6

That is why the remainder is 6. You can use polynomial long division or synthetic division to confirm this answer.

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2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3617 in3. One day, her sink clogged. She
sleet_krkn [62]

Answer:Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h.  Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4.  The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

Step-by-step explanation:

8 0
2 years ago
I got zero, but that’s wrong.
meriva

Answer:

Expected value is 4,000

Step-by-step explanation:

To find expected value ⇒ multiply the value by it's probability

40% × ( -25,000 ) = - 10,000

Breaking means neither add nor subtract a given amount

20% × 0 = 0

35% × 40,000 = 14,000

∴ Expected value = -10,000 + 14,000 = 4,000

LOSS:                   -10,000

BREAK EVEN:       0

WIN:                       14,000

Expected value is 4,000

<em>hope this helps....</em>

3 0
3 years ago
This table shows the scores an archer named Janisa made in a qualifying event for an archery tournament.
zysi [14]

Answer:

It is c

Step-by-step explanation:

The median is the middle number which is 8 and the range is the highest number minus the lowest number. The highest number is 10 and the lowest number is 3.  Subtract and you will get a range of 7

7 0
3 years ago
remember that percentages are based on one-hundredths. the value 100% one-hundredths or 100/100. the value of 50% equals 50/100
AnnyKZ [126]

Answer:

75/100, 20/100, 8/1000

0.75% , 0.2% or 0.20%, 0.008%

Step-by-step explanation:

im sorry if its wrong,its been a while since i did percentages

6 0
3 years ago
-4 + -7 (-2) =? Minus equations always give me trouble :/
USPshnik [31]
<span>-4 + -7 (-2)
= -4 + 14 (a negative multiplies a negative equal positive)
= 10</span>
8 0
3 years ago
Read 2 more answers
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