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2 years ago

Lily goes to bed at 11:00 p.m. She sleeps for 8 hours. What time did she wake up?

Mathematics

2 answers:

lidiya [134]2 years ago

7 0

7:00 a.m is the answer

koban [17]2 years ago

3 0

7 am? Lol. I’m pretty sure it’s just simple math right?

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A road perpendicular to a highway leads to a farmhouse located d miles away. An automobile traveling on this highway passes thro

pshichka [43]

Answer:

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}$

Step-by-step explanation:

A road is perpendicular to a highway leading to a farmhouse d miles away.

An automobile passes through the point of intersection with a constant speed $\frac{dx}{dt}$ = r mph

Let x be the distance of automobile from the point of intersection and distance between the automobile and farmhouse is 'h' miles.

Then by Pythagoras theorem,

h² = d² + x²

By taking derivative on both the sides of the equation,

$(2h)\frac{dh}{dt}=(2x)\frac{dx}{dt}$

$(h)\frac{dh}{dt}=(x)\frac{dx}{dt}$

$(h)\frac{dh}{dt}=rx$

$\frac{dh}{dt}=\frac{rx}{h}$

When automobile is 30 miles past the intersection,

For x = 30

$\frac{dh}{dt}=\frac{30r}{h}$

Since $h=\sqrt{d^{2}+(30)^{2}}$

Therefore,

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+(30)^{2}}}$

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}$

3 0

3 years ago

Make a histogram, using a bin width of ten, to display the bowling scores for these 31 players: 87, 104, 79, 94, 117, 82, 72, 11

slavikrds [6]

Step-by-step explanation:

Using R, I used the following code to create a histogram:

bowling.scores <- c(87, 104, 79, 94, 117, 82, 72, 116, 105, 95, 88, 93, 109, 119, 75,

103, 112, 97, 73, 85, 91, 86, 102, 99, 106, 84, 98, 83, 81, 96, 92)

data.frame(bowling.scores)

ggplot(data.frame(bowling.scores), aes(x=bowling.scores)) +

xlim(c(70, 120)) +

scale_y_continuous(breaks = seq(0, 10, by=1), "Frequency") +

geom_histogram(breaks=seq(70, 120, by=10), color="black", fill="grey60") +

labs(title="Histogram of Bowling Scores", x="Bowling Scores", y="Frequency")

7 0

2 years ago

Which is the graph of the function f(x) = 1/2x2 + 2x - 6?

faltersainse [42]

Answer:i would need to see the graph but here is what i think you are talking about and it shows how to it popular- problems /Algebra/ 262080

Step-by-step explanation:

8 0

2 years ago

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Journalists try to use shorter or simpler words in their news stories whenever possible. The box below shows the number of lette

kap26 [50]

The mean, median number and the the outlier of the number of letters in the box is 5, 4.5 and no outlier respectively.

The complete question:

A box contains the numbers 9, 2, 2, 11, 1, 8, 8, 2, 6, 1, 7, 3.

<h3>How to find mean, median and outlier</h3>

Mean = Addition of all numbers ÷ number of digits

= (9 + 2 + 2 + 11 + 1 + 8 + 8 + 2 + 6 + 1 + 7 + 3) ÷ 12

= 60 ÷ 12

= 5

Median = The middle value arranged in ascending or descending order.

In ascending order; 1,1,2,2,2,3,6,7,8,8,9,11

There are two middle number; 6 and 3

Median = (6 + 3) / 2

= 9/2

= 4.5

There is no outlier

Learn more about mean and median:

brainly.com/question/14532771

6 0

2 years ago

What is the mean for the numbers 94,26,76,46,77,66,31, and 88?

Gnesinka [82]

Answer:

Step-by-step explanation:

Add all of the numbers together then divide by the amount of numbers there are.

3 0

3 years ago

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