<span>In this case, every bottle has 500 mg of caffeine with a standard deviation of 25 mg. The equation of a bottle will be: 500 +/- 25mg caffeine per bottle.
To calculate a carton containing 30 bottles, you just need the equation with 30. It will become: (500x30) +/- (25x30)mg= 15000 +/- 750 mg of caffeine per carton</span>
The answer is C. If you have a low energy level you are more likely to get sick
0.88x distributive property and isolate the variables
Answer:
The radius is 3.24102 meters
Step-by-step explanation:
We are given
area of mural is 33 m^2
Since, the shape of mural is circular
Let's assume radius of circle as 'r'
so, we can use area of circle formula

now, we can set A=33
and then we can solve for r

we get


So,
The radius is 3.24102 meters
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).