MATHEMATICS HIGH SCHOOL

15. What must be added to (P–3xº + 4.x –13) to obtain a polynomial which is exactly divisible by(x-3)?​

Answers

Answer 1
Answer:

Answer:

I do it for the point haha

Step-by-step explanation:

you silly elf he

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Dylan has a roll of wrapping paper that is5 meters long. How many centimeters of wrapping paper does he have.

Answers

500 centimeters I think *sweats nervously*

What is the formula for P^c(n,r)

Answers

P(n,r)= n! /(n-r)! 
C(n,r)= n! / r! (n-r)! 
P^c(n,r)= P raised to power C(n.r)? (If so, you know C(n,r) ; raise P to power C(n,r)) 
P(A/B) = P(A ∩ B) / P(B)
Hope this helped :)

Every function pairs __________ output value with one input valuea. more than one
b. at least one
c. exactly one

Answers

Every function pairs exactly one output value with one input value. The correct answer is C, exactly one. 

Answer:it is c exactly one.

Step-by-step explanation:

A school librarian can buy books at a 20% discount from the list price. One month she spent $72 for books. What was the list price value of the books? Is the answer $90?

Answers

Answer:

\boxed{\sf \ \ YES \ \ }

Step-by-step explanation:

Hello

let's say that the price of the book was x

the price after a 20% discount is x - 20%*x = x*(1-20%)=x*(1-.20)=0.8*x

and this is $72 so we can write that

0.8*x=72

and then divide by 0.8 both parts

x = 72/0.8=90

So the list price value of the book is $90

and we can verify as 90 - 20%*90 = 90 - 18 = 72

Hope this helps

1. You have a 4 quart bottle of 70% pure apple juice. You want to mix it with 90% pure apple juiceto obtain 85% pure apple juice. How much of the 90% pure apple juice should you use?

Answers

Answer:

12 quarts of the 90% pure apple juice should be used

Step-by-step explanation:

Here, we want to calculate the number of quarts of the 90% pure apple juice to be used.

Let the number of quarts of the 90% pure apple juice to be used be x;

This brings the total of the 85% result to (4 + x)

By mathematical convention;

4 quarts of 70% + x quarts of 90% = (4 + x) of 85%

70% = 70/100 = 0.7

90% = 90/100 = 0.9

85% = 85/100 = 0.85

Thus, mathematically;

(0.7 * 4) + (0.9 * x) = 0.85(4 + x)

2.8 + 0.9x = 3.4 + 0.85x

Let’s collect like terms

3.4 -2.8 = 0.9x -0.85x

0.6 = 0.05x

x = 0.6/0.05

x = 12

Final answer:

To get an 85% pure mixture, you need to combine 4 quarts of 70% pure apple juice with 4 quarts of 90% pure apple juice. This is obtained by setting and solving an algebraic equation based on percentage purity and volume.

Explanation:

This problem relates to an area of mathematics known as algebra. We are trying to find the amount of 90% pure apple juice needed to achieve an 85% pure mixture with a 4 quart bottle of 70% pure apple juice.

First, let's set up an equation based on the given information:

70%(amount of 70% pure apple juice) + 90%(amount of 90% pure apple juice) = 85%(total amount of apple juice mix)

Since the 70% pure apple juice is 4 quarts, the equation becomes:70%(4 quarts) + 90%(x) = 85%(4 quarts + x)

Next, we will solve for x. To do this, convert the percentages into decimals, multiply through, simplify and solve.

0.7(4) + 0.9x = 0.85(4+x)  

2.8 + 0.9x = 3.4 + 0.85x

Solving for x, we get that x = 4 quarts.

So, you would need 4 quarts of the 90% pure apple juice to get an 85% pure mixture with your 4 quart of 70% pure apple juice.

Learn more about algebra here:

brainly.com/question/32436021

#SPJ3

If the diameter of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°?

Answers

Answer:

Length of arc of a circle is given by:

L = r \cdot \theta     .....[1]

where

L is the length of an arc

r is the radius of  the circle.

As per the statement:

Diameter of the circle(D) = 6 inches.

we know that:

D  =2r

6 = 2r

Divide both sides by 2 we get;

3 = r

or

r = 3 inches

We have to find the long arc arc subtended by an angle measuring 70°.

Substitute the value of r = 3 inches and \theta = 70^(\circ) in [1] we have;

L =3 \cdot 70

Simplify:

L = 210 inches

Therefore, 210 inches long is the arc subtended by an angle measuring 70 degree.
C = πD = π6in

Arc = D * 70°/360° = 3.1416*6*7/36=3.67 in
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