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pishuonlain [190]
4 years ago
14

There are ten questions on Jack's science quiz: six multiple choice questions with four choices each and four true/false questio

ns. How many ways can he answer the question?
Mathematics
1 answer:
PilotLPTM [1.2K]4 years ago
7 0
Questions with multiple choice can be answered: 4^6 = 4096 ways
True/false questions can be answered: 2^4 = 16 ways

The total number of ways to answer all questions = 4096*16 =65,536 ways
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snow_tiger [21]

Answer:

The Asymptote would be at -3

Step-by-step explanation:

Just remember, when the number at the bottom (not the x) is positive, the graph would shift left by that number. And if it is negative, the graph would translate right by that number.

Since the function has positive 3, the asymptote is at -3

If the function was -3, the asymptote is at 3

EXTRA STUFF: If there is a number next to the fraction, that is not part of the denominator, then that is where the horizontal asymptote would be.

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Part C
Elodia [21]

Answer:

This is the sample answer:

The new histogram shows that 7 trucks have a fuel efficiency of 10 to 14 miles per gallon. It’s also possible to see that the shape of the data is skewed right.

Step-by-step explanation:

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At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the populatio
Maksim231197 [3]

Answer:

C. 1.8027

Step-by-step explanation:

The exponential population growth model is given by:

P(t) = P_{0}e^{rt}

In which P(t) is the population after t years, P_{0} is the initial population and r is the growth rate.

At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the population was 1.74 million people.

This means that P_{0} = 1.65, P(3) = 1.74

Applying this to the equation, we find r. So

P(t) = P_{0}e^{rt}

1.74 = 1.65e^{3r}

e^{3r} = \frac{1.74}{1.65}

e^{3r} = 1.0545

Applying ln to both sides

\ln{e^{3r}} = \ln{1.0545}

3r = \ln{1.0545}

r = \frac{\ln{1.0545}}{3}

r = 0.0177

So

P(t) = 1.65e^{0.0177t}

What would be the population of the city 5 years after the start of the population study?

This is P(5).

P(t) = 1.65e^{0.0177t}

P(5) = 1.65e^{0.0177*5}

P(5) = 1.8027

So the correct answer is:

C. 1.8027

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Vesna [10]
Sent a picture of the solution.

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3 years ago
at a certain fast-food restaurant, the volume of a large soda is 35% greater than the volume of a small soda. if the volume of t
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Answer:

the answer is 202.5 ml

Step-by-step explanation:

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