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kykrilka [37]
3 years ago
12

Luis has $60 in his savings account. He earns $12 per hour at his job. Luis plans to buy a bicycle for $240.

Mathematics
1 answer:
Lelu [443]3 years ago
8 0

Answer:

15 hours

Step-by-step explanation:

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Suppose that news spreads through a city of fixed size of 700000 people at a time rate proportional to the number of people who
Gnoma [55]

Answer:

y'(t) = k(700,000-y(t))  k>0 is the constant of proportionality

y(0) =0

Step-by-step explanation:

(a.) Formulate a differential equation and initial condition for y(t) = the number of people who have heard the news t days after it has happened.

If we suppose that news spreads through a city of fixed size of 700,000 people at a time rate proportional to the number of people who have not heard the news that means  

<em>dy/dt = k(700,000-y(t)) </em>where k is some constant of proportionality.

Since no one has heard the news at first, we have

<em>y(0) = 0 (initial condition) </em>

We can then state the initial value problem as

y'(t) = k(700,000-y(t))

y(0) =0

8 0
3 years ago
Find the median for math 4.5 , 5 , or 4<br> ***PLEASE ANSWER FAST! ***
slamgirl [31]
The median is 4.5. the median is the number in the middle
7 0
3 years ago
Read 2 more answers
According to a random sample taken at 12​ A.M., body temperatures of healthy adults have a​ bell-shaped distribution with a mean
mrs_skeptik [129]

Answer:

There are 89% of healthy adults with body temperatures that are within 3 standard deviations of the​ mean

The minimum value that is within 3 standard deviations of the mean is 96.57.

The maximum value that is within 3 standard deviations of the mean is 100.11.

Step-by-step explanation:

Chebyshev's theorem states that a minimum of 89% of the values lie within 3 standard deviation of the mean.

So

Using​ Chebyshev's theorem, what do we know about the percentage of healthy adults with body temperatures that are within 3 standard deviations of the​ mean?

There are 89% of healthy adults with body temperatures that are within 3 standard deviations of the​ mean.

What are the minimum and maximum possible body temperatures that are within 3 standard deviations of the​ mean?

We have that the mean \mu is 98.34 and the standard deviation \sigma is 0.59. So:

Minimum

Mi = \mu - 3\sigma = 98.34 - 3(0.59) = 96.57

Maximum

Ma = \mu + 3\sigma = 98.34 + 3(0.59) = 100.11

8 0
3 years ago
Choose the prime number from the list and write it in the blank - 21 33 47 78
12345 [234]
47 is the prime number
3 0
4 years ago
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If s(x)=x-7 and t(x)=4x^2-x+3 which expression is equivalent to (txs)(x)?
gogolik [260]

For this case we have by definition that:

(f * g) (x) = f (x) * g (x)

In this case we must find(t * s) (x), so:

((t * s) (x) = t (x) * s (x) = (4x ^ 2-x + 3) * (x-7) =

We must apply distributive property that states that:

(a + b) (c + d) = ac + ad + bc + bd

So:

(4x ^ 2-x + 3) * (x-7) = 4x ^ 3-28x ^ 2-x ^ 2 + 7x + 3x-21 = 4x ^ 3-29x ^ 2 + 10x-21

Answer:

4x^3-29x^2+10x-21

7 0
3 years ago
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