Answer:
a) 24
b) -21.
Step-by-step explanation:
For question a), we first solve whatever is in the parenthesis, because of PEMDAS.
Our original equation was:
4 (6 + (-3)) + 3 (4)
We get rid of the parenthesis first. 6 + (-3) = 6 - 3 = 3, so we have:
4 (3) + 3 (4)
We can multiply, and then add.
12 + 12 = 24.
For question b), we once again start off with getting rid of the parenthesis. However, within the parenthesis, we still have to follow PEMDAS, meaning that we have to do the multiplication first and the subtraction after.
Thus we have:
-2 (6) + 3(-3)
We can multiply things out and then add.
-12 + -9
= -1 (12 + 9)
= -1 (21)
= -21.
Finding the area is easy. You have to multiply the width times the height to get you're product/ answer. For the following problems.
Hope this helps. (:
Answer: 495 bacteria in 2 minutes.
Step-by-step explanation:
We would apply the formula,
y = ab^t
Where
a represents the initial amount of bacteria.
t represents the doubling time.
From the information given
a = 10
t = 15 seconds
Since after 15 seconds, the amount of bacteria multiplies by 2, then
y = 2 × 10 = 20
Therefore
20 = 10 × b^15
Dividing through by 10, it becomes
2 = b^15
Raising both sides of the equation by 1/15, it becomes
2^(1/15) = b^15/15
b = 1.047
The equation becomes
y = 10(1.047)^t
For t = 2 minutes(2 × 60 = 120 seconds), then
y = 10(1.047)^120
y = 495 bacteria
Answer:
0.294736842
Step-by-step explanation:
