Answer:
8 hours
Step-by-step explanation:
We have that;
B = number of bacterial cells, B, in a container after t hours
t = time taken in hours
The function is;
B=25x2t
Where B = 400 bacterial cells
400 = 25x2t
t = 400/25x2
t = 8 hours
Answer: 267.7
I just did the math and I got this answer
Answer:
a) b = 8, c = 13
b) The equation of graph B is y = -x² + 3
Step-by-step explanation:
* Let us talk about the transformation
- If the function f(x) reflected across the x-axis, then the new function g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new function g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then the new function g(x) = f(x + h)
In the given question
∵ y = x² - 3
∵ The graph is translated 4 units to the left
→ That means substitute x by x + 4 as 4th rule above
∴ y = (x + 4)² - 3
→ Solve the bracket to put it in the form of y = ax² + bx + c
∵ (x + 4)² = (x + 4)(x + 4) = (x)(x) + (x)(4) + (4)(x) + (4)(4)
∴ (x + 4)² = x² + 4x + 4x + 16
→ Add the like terms
∴ (x + 4)² = x² + 8x + 16
→ Substitute it in the y above
∴ y = x² + 8x + 16 - 3
→ Add the like terms
∴ y = x² + 8x + 13
∴ b = 8 and c = 13
a) b = 8, c = 13
∵ The graph A is reflected in the x-axis
→ That means y will change to -y as 1st rule above
∴ -y = (x² - 3)
→ Multiply both sides by -1 to make y positive
∴ y = -(x² - 3)
→ Multiply the bracket by the negative sign
∴ y = -x² + 3
b) The equation of graph B is y = -x² + 3
Answer:
Step-by-step explanation:
Alice borrowed 16700 from the bank at a simple interest rate of 9% to purchase a used car. It means that the interest is not compounded. Simple interest is usually expressed per annum. The formula for simple is
I = PRT/100
Where
I = interest
P = principal(amount borrowed from the bank)
R = 9% ( rate at which the interest is charged
T = number of years
At the end of the loan,she had paid a total of 24215. This means that the interest + the principal = 24215
Therefore,
The interest = 24215 - 16700 = 7515
Therefore
7517 = (16700 × 9 × t)/100
751700 = 150300t
T = 751700/150300
T = 5 years
Converting 5 years to months,
1 year 12 months
5 months = 12 × 5 = 60 months
Answer:
2, sqrt of 7633
Step-by-step explanation:
for now, we'll leave the 3rd side as x
y using the Pythagorean theorem, we can conclude that (1) 48^2+x^2=73^2 or (2) 48^2+73^2=x^2.
1. If we conclude the x isn't the longest, the x would be 3025 which is the sqrt of 55, now is invalid because the 2 smallest sides can't be more than the longest side when they add up 55+48>73 so that is invalid
2. Then, it leaves us with only 1 choice left! concluding that the 3rd side is the longest. Which the answer is sqrt of 7633