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Scrat [10]
3 years ago
10

What is the approximate average rate of change over the interval [2, 6]?

Mathematics
1 answer:
____ [38]3 years ago
4 0

Answer:

250

Step-by-step explanation:

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A bacteria culture contains 1500 bacteria initially and doubles every hour. (a) Find a function N that models the number of bact
Tpy6a [65]

Answer: a) N(t)=1500(2)^t

b) 25165824000

Step-by-step explanation:

The exponential equation for growth is given by :-

y= ab^t , where a= initial value , b =multiplicative growth factor and t = time.

Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.

i.e. a = 1500 and b= 2

Then, the function N that models the number of bacteria after t hours will be :

N(t)=1500(2)^t

To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get

N(24)=1500(2)^{24}\\\\=1500(16777216)=25165824000

Hence, the number of bacteria after 24 hours is 25165824000.

7 0
3 years ago
Solve the system of equations x+y= -13 and 4x + 6y = -72 by combining the<br> equations.
uranmaximum [27]

Answer:

Step-by-step explanation:

Fist you add -13 to 6y and than 4x that should be 69420

8 0
3 years ago
A group of individuals were surveyed about their plans for vacation. There were 21 individuals who said they were going to the d
Alexeev081 [22]

Answer:

140 individuals were surveyed

42 people are planning on going to the mountains

Step-by-step explanation:

The question is missing the information regarding the percentage of people who said that they were going to each of the possible destinations. After a quick google search I've found that, in the original question, 32% of individuals were going to the beach, 15% to the desert, 23% to major cities, and 30% to the mountains.

If 21 people said they were going to the desert, and that corresponds to 15% of the total number of people surveyed, the number of people surveyed is:

21=n*0.15\\n=140\ individuals

140 individuals were surveyed

Since 30% responded "the mountains", the number of people planning on going to the mountains is:

m = 140*0.30\\m=42\ people

42 people are planning on going to the mountains

3 0
3 years ago
if you flip a coin and roll a 6-sided die, what is the probability that you will flip a tails and roll more than a 4
Nutka1998 [239]

Answer:

12

Step-by-step explanation:

When you a coin flips there are 2 possible outcomes which are either heads, or tailer, when you roll a die there are six outcomes, one to six. Putting these together means you have a total of 2×6=12 outcomes

4 0
3 years ago
What is the value of x?<br><br> Enter your answer in the box.
devlian [24]

Answer: 26

Work: 90 - 64 = 26

This is the rule for complementary angles that are equal to 90 degrees.

3 0
3 years ago
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