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Stells [14]
2 years ago
12

Find the angle 0 between the vectors.

Mathematics
1 answer:
Nikitich [7]2 years ago
6 0

Answer:

If θ is the angle between two vectors u and v, then cosθ = (u·v

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

6 0
3 years ago
Of the last 14 contestants on a game show, 7 qualified for the bonus round. Considering this data, how many of the next 10 conte
daser333 [38]

Answer:

c. 1/2

Step-by-step explanation:

7 out of 14 contestants did last time, which is 1/2 of the contestants.  You would assume that the same proportion would qualify when there are 10 contestants, so you would assume that 1/2 of 10 would also qualify for the bonus round.

5 0
2 years ago
HELP ASSAP WITH THIS QUESTION
attashe74 [19]
If I remember correctly judging from the 30 in the top left all you would have to is subtract 180 which is the angle of a straight line and subtract it from the 30 and it would be 150
8 0
3 years ago
Read 2 more answers
What valur of x makes the equation below true? 9^5 * 9^7=9^x
klasskru [66]

Answer:

x=12

Step-by-step explanation:

(9^5)(9^7)=9^x

282429536481=9^x

<em>Step 1: Flip the equation.</em>

9^x=282429536481

<em>Step 2: Solve Exponent.</em>

9^x=282429536481

log(9^x)=log(282429536481)(Take log of both sides)

x*(log(9))=log(282429536481)

x=log(282429536481)/log(9)

x=12

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2 years ago
Write words to match the expressions
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Cat-Pat
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