Answer:
4 cups of raisins
3 cups of dates
6 cups of peanuts
and 2 cups of cashews
ratio cashews to raisins= 2:4
= 1:2
ratio dates to peanuts= 3:6
= 1:2
The absolute value of y is further from 0.
Explanation:
The absolute value of any number is a positive. If the value of y is greater than x, then y would be further. Let’s input a number as an example. Let’s say that the absolute value of y was 9 and the absolute value of x is 4 due to the y value being larger. 4 is closer to 0 compared to 9 so the absolute value of y is further from 0.
Answer:
58 seconds.
Step-by-step explanation:
Since one minute equals 60 seconds, Carlos took 63 seconds.
Orlando ran in 63 seconds - 5 seconds, which is equal to 58 seconds.
Sin^2(x) + cos^2(x) = 1
sin^2(x) = 1 - cos^2(x)
Replace sin^2(x) in the equation with 1 - cos^2(x)
2(1 - cos^2(x)) - 5cosx + 1 = 0
2 - 2cos^2(x) - 5cosx + 1 = 0
2cos^2(x) + 5cos x - 3 = 0
Let cosx = y
2y^2 + 5y - 3 = 0
(2y -1)(y + 3) = 0
y = cosx so:
cosx = ½,
cosx = -3 (gives no solutions since cos domain is -1 to 1)
Therefore x = pi/3, (2pi - pi/3) = 5/3pi
The average of the numbers is also known as the "mean"
So to find the mean you need to add all the numbers together then divide by how many numbers there are,
16.5+21.5+17=55/3
<span>55 / 3 = 18.333333333333
</span>=18.3
