Shoe Size 9.5 8.5 12 11.5 13.5 Height (in) 63.7 62.4 69.4 71.5 71.9 Use your calculator to determine the y-intercept of this scatterplot
Using shoe size as the independent variable (x) and height as the dependent variable (y), we have
y = 2.084375x + 44.8518
The y intercept is just the point (0, 44.8518)
If height 1s the dependent variable (x) and shoe size as the independent variable (y), we have
y = 0.422002x -17.603
The y intercept here is just (0, -17.603)
(Because the y intercept in the second function is negative, I suspect that shoe size is "x" and height is "y")
BTW....here is an online website that will do this for you.....make sure you don't have any spaces between the "x" and "y" values.......just a comma!!!
A clock has a radius of 9 inches. If it's 4:00, what's the arc length and the area of the sector of this time?
I'm assuming that you want the arc length and area of the sector from 12 to 4.
Since this sector represents 1/3 of the total area of the clockface, it must also have an arc length of 1/3 of the total circumference of the clock.
The total circumference is given by 2*pi*9 in = 18pi inches
So 1/3 of the circumference = 6pi inches
And the total area is given by pi * (9 in)^2 = 81pi in^2
And 1/3 of this is just 27pi in^2
The area of one piece of pizza is 9π in2 . The pizza is cut into eighths. What's the radius of the pizza pie?
Well.....if 9π in2 represents 1/8 of the area, then the total area must be 8 times as much...i.e., 72π in2
So we have that the area of a circle is given by...... A = πr2
72π in2 = πr2
Dividing by pi on each side, we have
72 in2 = r2
Taking the square root of both sides, we have
r = √(72)in = 6√(2) in
Let's use an identity for sin(2x)......this = 2 sinxcosx
So we have
2sinxcosx - sinx = 0........let's factor out the sin x....so we have
sinx (2cosx -1) = 0
Setting each factor to 0, we have
sinx = 0 and 2cosx -1 =0
Solving the first, we have x = 0 + (pi)n
Solving the second, we have
cosx = 1/2
so x = (-pi/6) + 2(pi)n
and x = (pi/6) + 2(pi)n
what is the break even point of c=5.50+700 and r=9n
I'm not sure, but I think you meant the cost function to be c=5.50n+700, where 5.50n is the variable cost and 700 is the fixed cost...(I'm going to assume so)
Let's just set the equations equal and find the break-even point....so we have
5.50n+700 = 9n
Let's subtract 5.50n from both sides...we get
700 = 3.50n.....now divide both sides by 3.50...this gives
700/3.50 = n = 200 units
And that's it !!!
The largest Egyptian pyramid is 146.5 meters high. When Rowena stands far away from the pyramid her sight line to the top of the pyramid forms and angle of elevation of 20 degrees with the ground. What is the horizontal distance between the center of the pyramid and Rowena? Round to the nearest meter.
Let's use the tangent here...we have
tan(20º) = 146.5m / x....therefore,
x = 146.5m / tan(20) = 402.5m ≈ 403m