1 * 7 + 2 * 1 + 3 * 3 + 4 * 2 + 5 * 2 =
7 + 2 + 9 + 8 + 10 =
36
Now we need to divide 36 by the total frequency: 7+1+3+2+2=15
36 / 15 = 2.4
Depends on the shape we are talking here. I believe you are taking about a square, so:
The equation for area for a square is: s^2, s representing the length of 1 of the squares sides (a square is even all the way around, so 1 side is the same as all)
8^2=64, so I can assume this is a square by this. Knowing it's a square, and that one of the sides is equal to 8, and the other 3 sides are the same length, I can do 8*4, which equals 24.
The perimeter is 24
Answer:
<em>It will take 26.34 minutes for the population to reach 5 times its initial value</em>
Step-by-step explanation:
<u>Exponential Growing</u>
The population of bacteria grows at a rate expressed by the equation:

Where t is in minutes.
We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:

Now we find the time when the population is 5*256=1,280. The equation to solve is:

Dividing by 256:

Taking natural logarithms:

Applying the logarithm properties:

Solving for t:

It will take 26.34 minutes for the population to reach 5 times its initial value
Answer:
Step-by-step explanation:
The velocity of the arrow when it was launched upwards is 320 feet per second. The height of the platform from which it was launched is 50 ft
This means that the arrow is already 50 feets from the ground before moving upwards.
The height that it attains on moving from 50 feets will be determined by Newton's formula of motion.
v^2 = u^2 + 2as
u = initial velocity = 320 feet per second.
1 feet per second = 0.305 meters per second
320 feet per second = 320× 0.305
= 97.6 feets per second
a = acceleration due to gravity =
- 32.17405 feet/second^2 because the arrow is moving upwards)
s =maximum height of the arrow
v = final velocity = 0 feet/second
Substituting into the equation,
0^2 = 97.6^2 + 2×- 32.17405 × s
0 = 9525.76 - 64.3481s
64.3481s = 9525.76
s = 9525.76/64.3481 = 148.03 feets
Total height from the ground would be
148.03 + 50 = 198.03 feets
The factored expression of m(2a+b)-n(2a+b)+2n(2a+b) is (m + n)(2a + b)
<h3>How to factor the expression?</h3>
The expression is given as:
m(2a+b)-n(2a+b)+2n(2a+b)
Factor out 2a + b
m(2a+b)-n(2a+b)+2n(2a+b) = (m - n + 2n)(2a + b)
Evaluate the like terms
m(2a+b)-n(2a+b)+2n(2a+b) = (m + n)(2a + b)
Hence, the factored expression of m(2a+b)-n(2a+b)+2n(2a+b) is (m + n)(2a + b)
Read more about factored expressions at:
brainly.com/question/723406
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