Answer:
Step-by-step explanation:
1) We would apply the formula,
y = ab^t
Where
a represents the initial amount of yeast.
t represents the doubling time.
From the information given
a = 2000
t = 2 hours
Since after 2 hours, the population of cells doubles, then
y = 2 × 2000 = 4000
Therefore
4000 = 2000 × b^2
Dividing through by 2000, it becomes
2 = b^2
Raising both sides of the equation by 1/2, it becomes
2^(1/2) = b^2/2
b = 1.414
The equation becomes
y = 2000(1.414)^t
2) when t = 7 hours,
y = 2000(1.414)^7
y = 22604 cells
3) the rate is 22604/7 = 3229 cells per hour
Answer:
2 times 30.
Step-by-step explanation:
Answer:
A) 21/7, or 3
B) 36/5, or 7 1/5
C) 35/25, or 1 15/25, or 1 3/5
D) 54/12, or 4 6/12, or 4 1/2
Step-by-step explanation:
8/7 plus 13/7. You add the numerators (the numbers on top) together. That makes 21. The denominator (the numbers on bottom) stays the same. So it would be 21/7. 7 fits into 21, 3 times.
8/7 más 13/7. Agrega los numeradores (los números en la parte superior) juntos. Eso hace 21. El denominador (los números en la parte inferior) permanece igual. Entonces sería 21/7. 7 encaja en 21, 3 veces.
8/7 plus 13/7. Vous ajoutez les numérateurs (les chiffres du haut) ensemble. Cela fait 21. Le dénominateur (les chiffres du bas) reste le même. Donc, ce serait 21/7. 7 correspond à 21, 3 fois.
8/7 plus 13/7. Quarum numeratores addere (supra de numero) una. 21. Quod facit denominator est (per numeros in fundo) manebit. Ita esset 21/7. Vicium, in VII XXI, III tempora.
Answer:
3. An additional month of product use is associated with an additional 0.85 inch of growth.
Step-by-step explanation:
Given that a company is testing a product which is intended to make hair grow faster. One of the test subjects started with a hair length of 8.2 inches
After a year of using the product, the test subject's hair measured 18.4 inches. If the growth rate was constant during the trial period, then we find that for 12 months hair growth is 10.2 inches
Assuming constant growth for 1 month growth is 10.2/12 = 0.85 inches
i.e. for every month additional use the growth would be 0.85 inches.
The equation relating hair growth and months would be
Hair size = No of months used *0.85 + 8.2
So correct option is
3. An additional month of product use is associated with an additional 0.85 inch of growth.