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Elenna [48]
2 years ago
10

T=0.003x2 +0.001x How many objects are required to keep the computer busy for exactly 7 seconds?​

Mathematics
1 answer:
MariettaO [177]2 years ago
5 0
I hope this helps .

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A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk trip
DochEvi [55]

Answer:

The expression that represents the population of elk is: \text{elk}(t) = 2*3^t. It'll take 6 years for the population to reach 1,458 individuals.

Step-by-step explanation:

Since the number of elks triples every year and starts at \text{elk}(0) = 2, then after the first year the population will be:

\text{elk}(1) = \text{elk}(0)*3 = 2*3

While on the second year, it'll be:

\text{elk}(2) = \text{elk}(1)*3 = 2*3*3 = 2*3^2

On the third year:

\text{elk}(3) = \text{elk}(2)*3 = 2*3^2*3 = 2*3^3

And so on, therefore the expression that describes the population of elk as the years passes is:

\text{elk}(t) = 2*3^t

If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.

1458 = 2*3^t\\3^t = \frac{1458}{2}\\3^t = 729\\ln(3^t) = ln(729)\\t*ln(3) = ln(729)\\t = \frac{ln(729)}{ln(3)} = 6

The population will reach 1,458 elk in 6 years.

8 0
3 years ago
Look at the figure. Find the value of x.<br> 100<br><br><br> 80<br><br><br> 45<br><br><br> 90
Mkey [24]

The answer is 90°

The sum of all angle in a triangle is 180°

So,

180-(45+45)

= 180-90

= 90°


5 0
3 years ago
Read 2 more answers
What is the effect on the graph of the function f(x) = x when f(x) is replaced with −f(x) + 5?
prohojiy [21]

Answer:

The function f(x) translated left by 5 units and then it is reflected across the x-axis.

Step-by-step explanation:

The original equation of the graph of the function is f(x) = x ........ (1)

If we replace f(x) by [- f(x) + 5] then the equation becomes - f(x) + 5 = x  

⇒ f(x) = - (x - 5) ..... (2)

So, comparing equations (1) and (2), we can conclude that the graph of the function f(x) translated left by 5 units and then it is reflected across the x-axis. (Answer)

6 0
3 years ago
the ratio of boys to girls in Ms.Smith`s class is 3 to 4.If there are 12 boys,how many girls are there?
Anvisha [2.4K]
The question says boys/girls = 3/4 so if there are 12 boys in the class you can say:
3/4 = 12/? 
and ? is the number of girls which is equal to:
? = 12*3/4 = 9 
so if there are 12 boys in the class we will have 9 girls in the class :)))
i hope this is helpful 
have a nice day
7 0
3 years ago
What is 120 over 540
Zielflug [23.3K]

Answer:

0.2

Step-by-step explanation:

Basically, all you would do is 120/540. Which is the same thing as division. So: 120 / 540 = 0.2

3 0
2 years ago
Read 2 more answers
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