MATHEMATICS HIGH SCHOOL

(x^2-10x+30) / (x-5)

NOT a fraction.

Answers

Answer 1
Answer:

(x²-10x+30)/(x-5)

= (x²-10x+30)/(x-5)


I hope that's help !

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Event B is dependent on event A, and event A occurs before event B. Which formula can be used to find the probability of event A?a. P(A and B) P(B) b. P(A and B) P(B|A) c. P(A and B) P(A|B) d. P(A and B) × P(B|A) e. P(A and B) × P(B)
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For a cone, if the radius was quadrupled and the slant height was reduced to 1/6 of its original size what would be the formula to find the modified surface area.

Answers

Let r be the radius of the cone's base and \ell the slant height.

The surface area of a cone is

A=\pi r^2+\pi r\ell

If the radius is quadrupled (r\to4r) and the slant height scaled by a factor of \frac16, then the new area is

A=\pi(4r)^2+\pi (4r)\left(\frac\ell6\right)
A=16\pi r^2+\frac23\pi r\ell

Write the equations of two lines whose graphs are perpendicular to one another

Answers

Write 2 equations in slope - intercept form: y = mx + b
The slopes of perpendicular lines are negative reciprocal of each other. That is, if you have a slope of 2/3, the perpendicular slope will be -3/2.
y = 2/3x + 3
is perpendicular to
y = -3/2x - 9
Only the slope matters in the equations. The y-intercept can be anything. I randomly chose +3 and -9.

Final answer:

Perpendicular lines have slopes that are negative reciprocals of each other. By using the slope-intercept form of a linear equation, you can find two equations for lines that are perpendicular to each other. An example pair of equations is y = 2x + 1 and y = (-1/2)x + 3.

Explanation:

In order for two lines to be perpendicular, their slopes must be negative reciprocals of each other. Let's say the equation of the first line is y = mx + b, where m is the slope. The equation of the second line that is perpendicular to the first line would have a slope of -1/m. So, you can choose any values for m and b for the first line and then find the slope of the second line using -1/m.

For example, let's say the equation of the first line is y = 2x + 1. The slope of this line is 2. The equation of the second line that is perpendicular to the first line would have a slope of -1/2. So, an example equation for the second line could be y = (-1/2)x + 3.

Therefore, two example equations of lines that are perpendicular to each other are y = 2x + 1 and y = (-1/2)x + 3.

Learn more about Perpendicular Lines here:

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HELP ASAP THIS IS STRESSING ME OUT! A right circular cylinder has a surface area of 96π in2 and a radius of 4 in. What is the height of the cylinder?
A. 8 in.
B. 6 in.
C. 16 in.
D. 24 in.

Answers

The surface area of a right cylinder is the sum of the areas of the lateral face and the circular bases. The lateral face is really just a rectangle with the same height as the cylinder and a length equal to the circumference of the circular base.

If the radius of the base is r and the height is h, then the surface area of the cylinder is

A=2\pi r^2+2\pi rh

You're given that the area is 96\pi and the radius is 4, so you have

96\pi=2\pi*4^2+2\pi*4h\implies 12=4+h\implies h=8

IM Algebra 1 Unit 2 lesson 3 practice problems #1-4

Answers

Answer:

3 is the answer of this question

If four times a number plus 3 is 11, what is the number

Answers

n - the number

4 · n + 3 = 11
4n + 3 = 11      |subtract 3 from both sides
4n = 8    |divide both sides by 4

n = 2
Four times a number plus 3 is 11

4 * n + 3 = 11

4n + 3 = 11 -3    

4n = 8  

4n/4=8 / 4

n = 2

Hence solved 

Suppose the auction house from the preceding problem sold 200 tickets at $1 each, and had 16 prizes of $10 each. What is the new expected value?A) $0
B) $0.2
C) –$0.2
D) $0.8

Answers

The new expected value is $0.8 if the auction house sold 200 tickets at $1 and had 16 prizes of $10 each.

What is expected value?

It is value which is calculated in the present but expect to come in future also.

How to calculate the expected value?

The expectedvalue will be calculated as under:

Value on 16 prizes=200/160=1.25

Expected value will be =(200+160)/1.25/160

=200.8

So the value expected will be $0.8.

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200/160=1.25

200+160=360/1.25/160=200.8

so your answer is 0.8
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