The frequency is 1 /period = 1 / [ 2 pi ]
Step-by-step explanation:
x-y^x-y
2-(-2)^2-(-2)
2-(-2)^2+2
2-(-2)^4
2-(16)
=-14
Answer:
5 1/2
Step-by-step explanation:
The calories contained are from grams of carbohydrates and other ingredients
One gram of carbohydrate contains 4 calories
The equation 4c + 5 = 27 represents the relationship between these quantities.
1. 5 from the equation represent calories from other ingredients
2. Neither 8 nor 3 is the solution to the equation
4c + 5 = 27
When 8 is the solution
4(8)+5=27
32+5=27
37=27
When 3 is the solution
4(3)+5=27
12+5=27
17=27
Neither 8 nor 3 is the solution to the equation because 8 gives a higher calories in the granola bite and 3 gives a lower calories in the granola bite.
3. Solution to the equation
4c + 5 = 27
4c= 27-5
4c = 22
Divide both sides by 4
c=22/4
=5 2/4
=5 1/2
The solution to the equation is 5 1/2
Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.
On this exercise is given that a triangle with vertices (-2,1), (8,4), and (3,0) was dilated by a scale factor of four, and it is asked to find the vertices of the image of the triangle after the dilation occurred.
Pre-image Image
(-2,1) -- (-2*4,1*4) -- (-8,4)
(8,4) -- (8*4,4*4) -- (32,16)
(3,0) -- (3*4,0*4) -- (12,0)
The coordinates representing the vertices of the triangle's image are (-8,4), (32,16), and (12,0); meaning that the ordered pair which is not a coordinate for a point in the triangle's image is (2,1).
Answer:
11 hours
Step-by-step explanation:
Setting up a system of equations and using the substitution method will give you the number of hours used by each tap. Let a = time for tap A and b = time for tap B:
a + b = 12 (A and B fill a tank in 12 hours)
a = b - 10 (tap A takes 10 hours less than tap B)
Substitute 'b - 10' for 'a' in the first equation:
b - 10 + b = 12
Combine like terms: 2b - 10 = 12
Add 10 to both sides: 2b - 10 + 10 = 12 + 10 or 2b = 22
Divide by 2: 2b/2 = 22/2
Solve for b: b = 11 hours