A. The volume is 8 times more
b. The volume is 27 times more
c. The volume is 64 times more
Answer:
Step-by-step explanation:
<u>Given equation</u>
- f(t) = 2^(kt)
- f - number of cells, t - number of months, k- coefficient
<u>We got 32 cells in the first month. It means:</u>
<u>Using these numbers we can find the coefficient k:</u>
- 32 = 2^(k*1)
- 2^5 = 2^k
- k = 5
<u>Then the equation becomes:</u>
<u>Average time is 9 months, we can calculate the number of cells:</u>
- f(9) = 2^(5*9) = 2^45 ≈ 3.5*10^13
Answer:
y = $6
Step-by-step explanation:
In the image below, the table of your question is attached
Based on the information presented in the table.
1 ounce of oregano costs $4
Because there are 4 ounces, this means that
x = 4*($4) = $16
1 ounce of garlic powder $3
Because there are 2 ounces, this means that
y = 2*($3) = $6
Total cost of the ingredients = x+y = 22 $
Answer : y = -3/4x + 1
To find an equation that goes through the two points provided, you have to find the slope using those same two points.
The equation for slope is (y2-y1)-(x2-x1).
The slope is -3/4.
The y-intercept is already given to you in the point (0,1).
Just plug everything into an equation and you get y = -3/4x + 1.
Answer:
m∠C = 44°
Step-by-step explanation:
In ΔCDE,
m∠C=(4x−16) ∘
m∠D=(6x−1) ∘
m∠E=(4x−13) ∘ .
The sum of angles in a triangle = 180°
Step 1
We solve for x
m∠C + m∠D + m∠E
(4x−16)° + (6x−1)° + (4x−13)° = 180°
4x - 16 + 6x - 1 + 4x - 13 = 180°
4x + 6x + 4x -16 - 1 - 13 = 180°
14x - 30 = 180°
14x = 180+ 30
14x = 210
x = 210/14
x = 15
Step 2
Find m∠C
m∠C = (4x−16)°
m∠C = (4 × 15 - 16)°
m∠C = (60 - 16)°
m∠C = 44°