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2 years ago

What divisor is represented by the synthetic division below?

Mathematics

2 answers:

ANEK [815]2 years ago

8 0

The answer is C my dude

Nikitich [7]2 years ago

6 0

Answer:

x+5

Step-by-step explanation:

When performing synthetic division, the divisor is a "zero" of the function. This means it is an x-intercept. To figure out what the factor is associated with this x-intercept, we determine what we would do to the factor to make it equal 0. In this case, we would add 5; this makes our factor, or divisor, x+5.

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A cylinder shaped dispenser holds 5,652 cubic centimeters of liquid soap and is now full. The radius of the dispenser is 7.5 cen

attashe74 [19]

We know that

[volume of cylinder]=pi*r²*h------------> h=[volume of cylinder]/(pi*r²)
Volume=5652 cm³
r=7.5 cm
so
h=[5652]/(3.14*7.5²)-----------> h=32 cm

the height of the soap in the full dispenser is 32 cm

the height when 4,239 cubic centimeters of soap remains in the dispenser is
h=[4239]/(3.14*7.5²)-----------> h=24 cm

hence

the difference is 32-24--------> 8 cm

the answer is
8 cm

3 0

2 years ago

Read 2 more answers

Distinguish between rote and rational counting

sergejj [24]

Answer: There is a difference between rote counting and rational counting. Rote counting involves the memorization of numbers. Rational counting tells children "how many there are." For children to count rationally, they need to demonstrate one-to-one correspondence.

6 0

1 year ago

PI-3.

Fudgin [204]

Answer:

A. $301

B. $721

Step-by-step explanation:

Let $x be the amount of money they raised.

Rowena tried to put the $1 bills into two equal piles and found one left over at the end, then

$x=2q_1+1$

Polly tried to put the $1 bills into three equal piles and found one left over at the end, then

$x=3q_2+1$

Frustrated, they tried 4, 5, and 6 equal piles and each time had $1 left over, then

$x=4q_3+1\\ \\x=5q_4+1\\ \\x=6q_5+1$

Finally Rowena put all the bills evenly into 7 equal piles, and none were left over, then

$x=7q_6$

This means $x-1$ is divisible by 2, 3, 4, 5 and 6 without remainder, so

$x-1=2\cdot 3\cdot 2\cdot 5n=60n$

Hence,

$x=60n+1, \ n\in N$

The smallest amount of money they could have raised is $301, because

$x=60\cdot 5+1=301$ is divisible by 7.

Now, the number $x=60n+1$ should be divisible by 7 and must be greater than 500.

So,

$60n+1>500\\ \\60n>499\\ \\n>8$

When n = 9,

$x=60\cdot 9+1=541$ is not divisible by 7.

When n = 10,

$x=60\cdot 10+1=601$ is not divisible by 7.

When n = 11,

$x=60\cdot 11+1=661$ is not divisible by 7.

When n = 12,

$x=60\cdot 12+1=721$ is divisible by 7.

B. The least amount of money they could have raised is $721

7 0

2 years ago

Read 2 more answers

The Naturally Made Bath and Body store pays $550 a month for rent and utilities. The average cost for its products to be manufac

Oksi-84 [34.3K]

The break-even point occurs when the cost function equals the revenue function: 550 + 3.00x = 5.50x
Naturally Made needs to sell 220 products to break even
The cost or revenue when it sells the break-even number of products will be $1,210

4 0

2 years ago

Read 2 more answers

186% of what is 56.73

rusak2 [61]

To do this problem, first you are going to want to turn 186% into a decimal which is 1.86. Now you put 56.73 over 1.86.................. 56.73/1.86.
Then you should divide 56.73 by 1.86 then you should get 30.5.

EXTRA.
if you want to find the percent, all you have to do is multiply 30.5 by 100.
you would get 3050%
Hope this helped and have an awesome day!

4 0

2 years ago