Answer:
- 43
Step-by-step explanation:
Expression: (3m+2n−6) and (−4−6m+7n)
n= -2 and m=5
Before inserting the values, let's add both expressions.
(3m+2n−6) + (−4−6m+7n)
3m+2n−6 −4 − 6m + 7n
-3m + 9n - 10
Inserting the values;
-3(5) + 9(-2) - 10
-15 - 18 -10
- 43
Answer: just turn them into decimals and use a calculator then turn them back into fractions in simplified form
Step-by-step explanation:
A(squared)+B(squared)=C(squared)
Answer:
2 hours: 3968 <u>[I don't understand the $ sign in the answer box]</u>
At midnight: 12137
Step-by-step explanation:
The bacteria are increasing by 15% every hour. So for every hour we will have what we started with, plus 15% more.
The "15% more" can be represented mathematically with (1 + 0.15) or 1.15. Let's call this the "growth factor" and assign it the variable b. b is (1 + percent increase).
Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450
At the end of the second hour we're increased by 15% again:
(3450)*(1.15) = 3968.
Each additional hour add another (1.15) factor, If we assign a to be the starting population, this can be represented by:
P = a(1.15)^t for this sample that increase 15% per hour. t is time, in hours.
If a represents the growth factor, and P is the total population, the general expression is
P = ab^t
Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM. That is a 10 hour period, so t = 10
P = (3000)*(1.15)^10
P = 12137
The circumference of the circle is 75.36 cm.
Diameter of the circle is 24 cm,
- Step 2: Formula used and calculation:
Circumference of the circle is 
.
So, Radius, r = 24/2 = 12 cm.
Now, Putting the value in the above formula, we get
2 × 3.14 ×12 = 3.14 × 24 = 75.36 cm.
Hence, the circumference of the circle is 75.36 cm.
Learn more about circumference of the circle, refer:
brainly.com/question/23964435
