We notice that the number of pages read is a function of the number of days:
If y is the # of pages read and x the # days, so the equation becomes:
y = m.x + b where m is the rate of reading or the slope and b a constant. How to calculate m? and later b
Note that we can rewrite the given as:
x| 0 | 2 | 5 | 7 |
-|------|-----|-----|------|
y| 57 | 99|162 |204 |
m= (y₂-y₁)/(x₂-x₁) = Rise/Run
m= (204-162)/(7-5) = (162-99)/(5-2) = (99-57)/(2-0) = 21
Then
m = 21 and the function y = 21.x +b
We notice in the table that when x = 0; y = 57, then
57 = 0.x + b that means b = 5 and the final equation is:
y = 21.x + 57
To solve this problem, we have to understand and establish some basic mathematical facts on a cone.
The answer to this question are option b and c only.
<h3>Cone</h3>
This is a solid figure that has the base of a circle and the top is made up round triangle.
The formula of volume of a cone is given as
where;
In the given question, the first fact given is if the radius doubles the diameter and that false.
If we have the value of the the radius, we can calculated the base area using area of a circle
The volume of a cone is actually one-third the volume of a cylinder
we can only calculate the volume of the cone is we have the value of the height of the cone.
The answer to this question are option b and c only.
Learn more on volume of a cone here;
brainly.com/question/12004994
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-6 and 4.5
So to do this you’ll make an equation x will represent the number so 4x^2+6x=108 so we want the equation to equal 0 so we can solve it to do that you have to subtract 108 from both sides so it ends up being 4x^2+6x-108=0 we want to isolate the x onto one side and division property allows us to divide both sides by 2 the reason it’s two is because 2 is the biggest divisible number that every number in the equation is divisible by so once you divide every number by two you get 2x^2+3x-54=0 now you have to factor cause but since you only have 3x and nothing else to factor with you have to write 3x as a difference so you could do 2x^2+12x-9x-54=0 so you are complicating the problem so you can factor out 2x from the expression so 2x(x+6)- 9(x+6)=0 the 54 got factored because it’s divisible by 9 that 6 is in replace of the 54 cause if you solved it 9x6 is still 54 next factor out x+6 so (x+6) x (2x-9) =0 so one of the two have to equal 0 so right the equations separately x+6=0 minus 6 from both sides and you’ll get x to equal -6 and 2x-9=0 add 9 to both sides and you’ll get 2x=9 divide both sides by 9 and you’ll get x to equal 4.5 when you plug 4.5 and -6 for x the equation works out
<span>11:35 - 12:00 = 25 minutes
12:00 - 1:30 = 1 hour and 30 minutes
so </span>25 minutes + 1 hour and 30 minutes = 1 hour and 55 minutes
answer: 1 hour and 55 minutes
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