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2 years ago

9

A group of 7 campers has four hours to hike to a lighthouse and back before sundown. The lighthouse is 28 m high. It is located

12 km from camp. How fast do they have to walk?

1 answer:

VMariaS [17]2 years ago

6 0

I have no idea so sorry

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A particle moves on the circle x2+y2=25 in the xy-plane for time t≥0. At the time when the particle is at the point (3,4), dx/dt

yaroslaw [1]

Answer:

$\displaystyle y'=-\frac{9}{2}$

Step-by-step explanation:

<u>Differentiation</u>

We have a relationship between x and y as follows:

$x^2+y^2=25$

Both variables depend on time t for t≥0.

Differentiating with respect to time:

$(x^2)'+(y^2)'=(25)'$

Applying the derivative of a power function:

$2xx'+2yy'=0$

Recall the derivative of a constant is 0.

Dividing by 2:

$xx'+yy'=0$

Solving for y':

$\displaystyle y'=-\frac{xx'}{y}$

At some specific time, we have:

x=3, y=4, dx/dt = x' = 6. Substituting:

$\displaystyle y'=-\frac{3\cdot 6}{4}$

Operating:

$\displaystyle y'=-\frac{18}{4}$

Simplifying:

$\mathbf{\displaystyle y'=-\frac{9}{2}}$

8 0

2 years ago

Carlos has 58 pencils what is the value of the digit 5 in this number

djverab [1.8K]

It would be 50 because the 5 is in the tens spot

6 0

2 years ago

Read 2 more answers

Marisol is making a rectangular wooden frame. She wants the length of the frame to be no more than 12 inches. She has less than

svlad2 [7]

The perimeter of a rectangle is
2l + 2w
This has to be less than 30 because she has less than 30 inches of wood altogether.
The length must also be "no more than", which means less than or equal to, 12 inches.
Option A satisfies both of these conditions.

5 0

2 years ago

each of the variables a, b, c, d, e and f represents a different positive real number. given the equations below, which variable

slega [8]

Answer:

The greatest value is "e"

Step-by-step explanation:

We have the following equations:

a. 1.31 a = f

b. 1.12b=f

c. 1.01c=f

d. 0.98d=f

e. 0.31e =f

Then solving for "a", "b", "c", "d" and "e" we have:

a. a = f /1.31

b. b=f/1.12

c. c=f /1.01

d. d=f / 0.98

e. e=f / 0.31

Now, given that in all the equations "f" represents the same number, the gratest value it's going to be the option in which "f" is divided by the smaller number.

The option in which f is divided by the less number is option e because, in this case, f is divided by 0.31.

8 0

2 years ago

Sofia is working two summer jobs, making $12 per hour babysitting and making $8 per hour clearing tables. In a given week, she c

Mamont248 [21]

The possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2, 3 hours

<em><u>Solution:</u></em>

Amount earned in babysitting = $ 12 per hour

Amount earned in clearing tables = $ 8 per hour

In a given week, she can work a maximum of 17 total hours and must earn a minimum of $180

Sofia worked 14 hours babysitting

Therefore,

Amount earned at babysitting = 14 x 12 = 168

Thus, Sofia earned $ 168 at babysitting

Sofia must earn a minimum of $ 180

Remaining amount to be earned = 180 - 168 = 12

Thus, Sofia must earn $ 12 from clearing tables

Amount earned in clearing tables = $ 8 per hour

So, she must work for atleast 1.5 hours to get $ 12 from clearing tables

She can work a maximum of 17 total hours and Sofia worked 14 hours babysitting

Remaining is 17 - 14 = 3 hours

Thus possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2 hours or 3 hours

3 0

2 years ago