Answer:
a) slope / m = 3
b) y-intercept / b = 0
c) Proportional
Step-by-step explanation:
a)
( y1 - y2 ) / ( x1 - x2 )
( 6 - 12 ) / ( 2 - 4 )
( -6 ) / ( -2 )
6 / 2
3
b)
y = mx + b
6 = 3(2) + b
6 = 6 + b
0 = b
c)
Proportional is when it crosses origin ( 0, 0 ).
Not proportional is when it does not cross origin.
Hopefully this helps!
Brainliest please?
Answer:
Answers are below
Step-by-step explanation:
Hour 0 1 bacterium
Hour 1 3 bacterium
Hour 2 9 bacterium
Hour 3 27 bacterium
Hour 4 81 bacterium
Hour 5 243 bacterium
Hour 6 729 bacterium
After 24 hours, the number of the bacterium will reach 282,429,536,481.
B) This table represents exponential growth because of the number of bacterium always being multiplied by 3.
C) The reason that any number to the zero power is one is that any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.
D) Y = 1 + 3 to the power of x
E) The rule would change by having all of the numbers multiplied by 100 since there is 100 bacterium at Hour 0.
Answer:
E.200.5ft²
Step-by-step explanation:
To find the area of the composite figure we simply split it into two regular shapes, a half circle and a square, we then find the area of the two shapes individually and add them together.
Area of square = s² where s = side length
It appears the given side length is 12 so s = 12
Which means area = 12² = 144ft²
For semi circle
Area = 1/2(πr² ), where r is the radius
The side length of the square is shared with the diameter of the semi circle meaning that the diameter of the semi circle is 12
To convert to radius from diameter we simply divide by 2 so r = 12/2 = 6
We have area = 1/2(πr² ) and r = 6
So area = 1/2(π6²)
==> evaluate exponent
Area = 1/2(36π)
==> take one half of 36
Area = 18π
==> multiply 18 and π
Area = about 56.5
Finally we add the two areas together
Total area = 56.5 + 144 = 200.5ft²
Answer:
Step-by-step explanation:
Given
Required
Determine: 
Solving for 
, we have:
--- angle on a straight line
So, we have:
To solve for 
, we have:
--- Vertically opposite angles
So:
