Write and solve the appropriate exponential equation:
228 = 16(r)^4, where r is the change per hour in the number of bacteria:
228
------ = r^4 = 14.25.
16
Taking the fourth root of both sides, we get: r = 1.94 (answer)
H= 445.36
because you bring the 86.43 over to the 531.79. which would make 86.43 a negative number. so you subtract 531.79 by 86.43
Step-by-step explanation:
Y is directly proportional to X" can be rewritten as a mathematical expression of the form Y = KX
"K" is the constant of proportionality and must be determined from the initial information.
If Y = 2/3 when X=1/12means 2/3=1/12
K = 2/3÷1/12 = 8
Now that we know the value of K, we can use it to calculate the value of Y when X=1/2
Y = (8)(1/2) = 8/2=4
Y=4
Look at the picture.
c.
1 unit right (+1); 2 units down (-2)
A(1, 3) → A'(1+1, 3-2) → A'(2, 1)
B(4, 5) → B'(4+1, 5-2) → B'(5, 3)
C(3, 1) → C'(3+1, 1-2) → C'(4, -1)
d.
(x, y) → (x + 1, y - 2)
1 -
3 cups left.
2-
David biked a total of 158 miles (option C)
Why?
- First exercise:
To solve the problem we need to consider that for each 1/2 cup of cornmeal, we will have 6 corn muffins.
So, calculating we have:

We can see that, if each 1/2 cups can give us 6 corn muffins, 2 cups can give us 24 corn muffins.

Hence, there are 3 cups left.
- Second exercise:
We can solve the problem by multiplying or adding the fractions according to the number of dots assigned to each one.
So, calculating we have:


Hence, we have that David covered a total 158 miles. (Option C)
Have a nice day!