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dlinn [17]
3 years ago
8

The ratio of hours that Peter is awake to hours that he sleeps is 2:1. The ratio of hours that Nancy is awake to hours that she

sleeps is 3:1. sleeps more.
Mathematics
2 answers:
Fiesta28 [93]3 years ago
8 0

Peter sleeps more!!!!

Oduvanchick [21]3 years ago
6 0
1.) Peter:
2 hours awake per
1 hour asleep

2.) Nancy:
3 hours awake per
1 hour asleep

3.) Peter sleeps more, as he is one hour less awake per each hour asleep.
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Please include work! :)
UNO [17]

Answer:

m = 13.

Step-by-step explanation:

Recall that adding logarithmic equations, (ex: log a + log b) is the same as log (a·b). Therefore:

log 12 + log 5 = log (4m + 8)

log (12·5) = log (4m + 8)

log (60) = log (4m + 8)  **Ignore 'Log' to solve for 'm'

60 = 4m + 8  **Subtract both sides by 8

52 = 4m  **Divide both sides by 4

m = 13.

6 0
3 years ago
SOLVE FOR X<br><br> plz this is like the 5th time i ask, plz don’t respond with links
sattari [20]

Answer: I used the Pythagorean theorem and got 6.24, but if I was supposed to use another method, just let me know.

The formula is a^2+b^2=c^2

a=5

c=8

b=?

5^2+b^2=8^2

25+b^2=64

b^2=39

b=6.24,

(If it doesn't work, put x=6.24, x=-6.24. It can be both technically, but most teachers ask only for the first one. )

5 0
3 years ago
The current population of a town is 10,000 and its growth in years can be represented by P(t) = 10,000(0.2)^t, where t is the ti
DiKsa [7]

Answer:

1) 20%

2) Choice a.

Step-by-step explanation:

P(t)=10000(0.2)^t

1) P(0) is the population initially.

P(1) is the population after a year.

\frac{P(1)}{P(0)} represents the population increase factor.

So let's evaluate that fraction:

\frac{P(1)}{P(0)}

\frac{10000(0.2)^1}{10000(0.2)^0}

\frac{0.2^1}{0.2^0}=\frac{0.2}{1}=0.2

0.2=20%

2) Let's figure out the population growth in terms of months instead of years.

P(t)=10000(0.2)^{t}

We want t to represent months.

A full year is 12 months, in a full year we have that P(1)=10000(0.2)^1=10000(0.2)=2000

So we want a new P such that P(12)=2000 since 12 months equals a year.

Let's look at the functions given to see which gives us this:

a) P(12)=10000(0.87449)^{12}=2000 \text{approximately}

b) P(12)=10000(0.87449)^{12(12)}=0 \text{ approximately}

c) P(12)=10000(0.87449)^{\frac{1}{12}}=9889 \text{approximately}

d) P(12)=10000(0.87449)^{12+12}=400 \text{approximately}

So a is the function we want.

Also another way to look at this:

P(t)=10000(.2)^t where t is in years.

P(t)=10000(.2^\frac{1}{12})^t where t is in months.

And .2^\frac{1}{12}=0.874485 \text{approximately}

8 0
4 years ago
Select ALL the correct answers.
aksik [14]

Answer: I think it’s A the cylinder

Step-by-step explanation:

8 0
3 years ago
The graph of a line has a slope of 3 and passes through the point (–4, –5).
Alenkinab [10]

Answer

(C) y +5 =3(x+4)

We will use the point-slope formula to solve this problem.

We will use the point-slope formula to solve this problem.(y+5)=3(x+4)

)Explanation:

)Explanation:We can use the point slope formula to solve this problem.

)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)

)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)Where m is the slope and (x1y1) is a point the line passes through.

)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)Where m is the slope and (x1y1) is a point the line passes through.We can substitute the slope and point we were given into this formula to produce the equation we are looking for:

)Explanation:We can use the point slope formula to solve this problem.The point-slope formula states: (y−y1)=m(x−x1)Where m is the slope and (x1y1) is a point the line passes through.We can substitute the slope and point we were given into this formula to produce the equation we are looking for:(y−(−5))=3(x--(4))

=> (<u>y+</u><u>5</u><u>)=3(x</u><u>+</u><u>4</u><u>)</u>

3 0
1 year ago
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