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alexandr1967 [171]
2 years ago
5

Every week, Hector works 20 hours and earns $210.00. He earns a constant amount of money per hour.

Mathematics
1 answer:
baherus [9]2 years ago
5 0
The answer is 40.

H - hours W - weeks
20 x 2 = 40
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P(t) = 250 * (3.04)^t/1.98,
Alex17521 [72]

Answer:

The concept which best describes the change of the population is the derivative of p(t)=250(3.04)^{\frac{t}{1.98}}.

Step-by-step explanation:

Observe that the function p(t)=250(3.04)^{\frac{t}{1.98}} describes the amount of rabbits at the time t (in years) but  no the rate of change of the population at a given instant. So you have to use the derivative of p(t) to obtain that rate of change at any instant. For example, if we derivate the function p(t)=250(3.04)^{\frac{t}{1.98}} we obtain:

p'(t)=250\cdot \log(\frac{1}{1.98})(3.04)^{\frac{t}{1.98}}

And if we want to find the rate of change at t=5 years we evaluate

p'(5)=250\cdot \log(\frac{1}{1.98})(3.04)^{\frac{5}{1.98}}=2326 rabbits/year

5 0
3 years ago
A student flips a fair coin 6 times. Answer the following questions: 1. Suppose that after flipping the coin all six times the e
VashaNatasha [74]

Answer:

1. 7 outcomes.

2. 64 outcomes.

3. D and H

Step-by-step explanation:

1. The experimenter will record the total number of heads after flipping the coin 6 times, therefore, the possible outcomes are: the experimenter got 0 heads, the experimenter got 1 head,..., the experimenter got 6 heads. Therefore there are 7 possible outcomes: (0, 1, 2, 3, 4, 5, 6).

2. If the experimenter records the result after each flip (H or T), for the first flip she has 2 results (heads or tails), for the second one she has 2 results, same for the third, fourth, fifth and sixth flip.

Therefore the possible outcomes are: (2)(2)(2)(2)(2)(2)=2^{6}=64.

3. Now the experimenter will end up the experiment earlier if she gets two tails or two heads in a row.

A.TTHTT is not possible because in this case she would've ended up the experiment after the second flip since she got two tails.

B.TTH is not possible either for the same reason.

C. HT is not possible because she still needs to get another T or two H in a row.

D. This is a possible outcome because in this one she flipped the coin 6 times and she didn't get two heads or two tails in a row so she didn't finish it earlier.

E. Is not possible because she should've stopped after the second flip.

F. Is not possible because it has 7 letters, therefore, 7 flips.

G. Is not possible because she should've stopped once she got heads in the fourth and fifth flip.

H. Is possible because she got heads in the second and  third flip.

6 0
3 years ago
5) Find the equation of the line going through the point (4,1) and<br> perpendicular to y = - 3x +7
vovangra [49]

Answer:

3y=x-1 OR y=⅓x-⅓

Step-by-step explanation:

Lets call the equation y=-3x+7 line l1

the other line passing through (4,1) l2

If two lines are perpendicular,then the product of their roots=-1

That is m(l1)×m(l2)=-1

Slope of l1=-3 therefore slope of l2=-1÷-3=⅓

Now that we have determined the slope of l2 we move on to find it's equation using the point-slope form

y-y1=m(x-x1)

y-1=⅓(x-4)

3y-3=x-4

3y=x-4+3

3y=x-1 OR y=⅓x-⅓

6 0
3 years ago
What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth.
kicyunya [14]
If treasure is midway of two points then treasures point is(x1+x2/2,y1+y2/2)

16+3/2, 21+2/2

Else any point shown byyour options is treasure's point

8 0
3 years ago
Read 2 more answers
What is the slope of a line perpendicular to AB if A (-2,-1) and B (0,4)
Nata [24]

Answer:

hgrtghjthweg

Step-by-step explanation:

7 0
3 years ago
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