MATHEMATICS HIGH SCHOOL

Is this statement true or false?
Circumference is the distance around the outside of a circle

Answers

Answer 1
Answer: true, it is basically the perimeter of the circle

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Please help how do I do this ??

What is y= -x^2-2x+3 in vertex form

Answers

           y = -x² - 2x + 3
      y - 3 = -x² - 2x + 3 - 3
      y - 3 = -x² - 2x
 y - 3 - 1 = -x² - 2x - 1
      y - 4 = -(x²) - (2x) - (1)
      y - 4 = -(x² + 2x + 1)
      y - 4 = -(x² + x + x + 1)
      y - 4 = -(x(x) + x(1) + 1(x) + 1(1))
      y - 4 = -(x(x + 1) + 1(x + 1))
      y - 4 = -(x + 1)(x + 1)
      y - 4 = -(x + 1)²
y - 4 + 4 = -(x + 1)² + 4 
           y = -(x + 1)² + 4

Mike wants to buy a sleeping bag for a camping trip. He finds one that costs $52.75 with a 25% discount. How much will he pay for it?

Answers

If he gets a 25% discount, then he is basically buying the sleeping bag for 75% (75%=0.75) of the original price.

$52.75x0.75
=$39.5626
≈$39.56

(Since money only goes to the hundredths place it is rounded)

He will pay $39.56 for the sleeping bag.
52. 75 * 0.25 = 13.19
52.75 - 13.19 = $39.56 is the amount he will pay.

Which of the following describes the domain of the function?

Answers

I think it's A but I'm not sure. The domain of a relation is simply the input, or x-values of the relation 

Liam calculated the slope of line AC between points A and B. Olivia calculated the slope of line AC between points B and C. Both Liam and Olivia drew triangles, as shown below, to calculate the slopes: A graph shows numbers from 0 to 27 on the x axis at increments of 3 and the numbers 0 to 6 on the y axis at increments of 1. A line AC is drawn that joins the ordered pairs 0, 0 and 27, 6.The ordered pair 9, 2 is labeled as B. A right triangle is drawn with AB as hypotenuse and height 2 units. Another right triangle is drawn with BC as the hypotenuse and height 4 units.

Which statement is correct about the slopes calculated by Liam and Olivia if both calculated the slopes accurately?

Liam calculated the slope as 2 over 9 and Olivia calculated it as9 over 2.
Liam calculated the slope as 9 over 2 and Olivia calculated it as2 over 9.
Both calculated the slope as 2 over 9.
Both calculated the slope as 9 over 2.

Answers

Liam calculated the slope of line AC between points A(0,0) and B(9,2):
m=(9-0)/(2-0) = 9/2
Olivia calculated the slope of line AC between points B(9,2) and C(27,6):
m=(27-9)/(6-2)=18/4=9/2
Answer: Both calculated the slope 9 over 2.

The correct statement about the slopes they both calculated is: D. Both calculated the slope as 9 over 2.

How to Calculate Slope of a Line?

Slope = rise/run = change in y / change in x

Slope of line AC calculated by Olivia by Liam = (9-0)/(2-0)

= 9/2

Slope of line AC calculated by Olivia = (27-9)/(6-2)

= =18/4

= 9/2

The true statement about the slopes calculated would be: D. Both calculated the slope as 9 over 2.

Learn more about slope on:

brainly.com/question/13861479

#SPJ5

At an appliance store, the price of a refrigerator is marked up 25% to $406.25.What was the price of the refrigerator before the markup?

Enter your answer in the box.

$

Answers

Answer:

325 = original price

Step-by-step explanation:

New price = original price + markup

Markup = original price * markup rate

Substituting this into the first equation

New price = original price + original price * markup rate

Factor out the original price

New price = original price (1+ markup rate)

We know the new price = 406.25  and the markup rate = 25% = .25 in decimal form.  Putting these into the equation

406.25 = original price (1+.25)

406.25 = original price (1.25)

Divide each side by 1.25

406.25 /1.25 = original price/1.25

325 = original price

What is the means-to-MAD ratio of the two data sets, expressed as a decimal?Data set Mean Mean absolute deviation (MAD)
1 10.7 2.4
2 13.7 2.5

2.What is the means-to-MAD ratio of the two data sets, expressed as a decimal to the nearest tenth?

Data Set 1: {14, 18, 21, 15, 17}
Data Set 2: {15, 17, 22, 20, 16}

Answers

Data set 1: 14,15,17,18,21 
mean: (14+15+17+18+21)/5 = 85/5 = 17
mad
17-14 = 3
17-15 = 2
17-17 = 0
17-18 = 1
17-21 = 4 

(3+2+0+1+4)/5 = 10/5 = 2

17/2 = 8.5 is the means-to-mad ratio

Data set2: 15,16,17,20,22
mean = (15+16+17+20+22)/5 = 90/5 = 18
mad
18 - 15 = 3
18 - 16 = 2
18 - 17 = 1
18 - 20 = 2
18 - 22 = 4

(3+2+1+2+4)/5 = 12/5 = 2.4

18/2.4 = 7.5 means to mad ratio
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