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natulia [17]
3 years ago
13

(C) In the past 9 days, Lena has received the following numbers of email advertisements per day:

Mathematics
1 answer:
Yuri [45]3 years ago
3 0
Median -46
mode-40,41,42,43,46,48,50,52,85
mean-49.666
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A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increas
Fittoniya [83]

Height of the water increasing is at rate of  #(dh)/(dt)=3/(25 pi)m/(min)#

<h3>How to solve?</h3>

With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

#V=pi r^2 h#

There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:

#V=pi (5m)^2 h#

Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:

#(dV)/(dt)=(25 m^2) pi (dh)/(dt)#

In the problem, we are given #3(m^3)/min# which is #(dV)/(dt)#.

So we need to substitute this in:

#(dh)/(dt)=(3m^3)/(min (25m^2) pi)=3/(25 pi)m/(min)#

Hence,  Height of the water increasing is at rate of  #(dh)/(dt)=3/(25 pi)m/(min)#

<h3>Formula used: </h3>

#V=pi r^2 h#

To Learn more visit:

brainly.com/question/4313883

#SPJ4

4 0
2 years ago
Read 2 more answers
Write the equation y- 6 = _5(x + 1) in<br> slope-intercept form.
Georgia [21]

Answer:

y = -5x + 1

Step-by-step explanation:

y - 6 = -5 (x + 1)

distribute -5 (x + 1) by multiplying

y - 6 = -5x - 5

than add 6 to both sides

y = -5x + 1

3 0
3 years ago
Im so confused right now. how do I do this?
Sedbober [7]

Step-by-step explanation:

  1. V= L×W×H
  2. you only need to know one side to figure out the
  3. volume of a cube
  4. volume is in 3Dimensions
  5. Multiple the sides in any order
  6. which side you call length, width, or height doesn't matter

that's how you find the answer.

does that help?

6 0
3 years ago
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Two points are shown on the number line. Which value is best represented by the point F? 
Masja [62]

Answer:

I believe its d

5 0
3 years ago
Convert the rate 1000 fluid ounces per 2 hours to cups per minute
Ronch [10]
There are 8 ounces in a cup, so there are 125 cups in 1000 ounces.
1000 / 8 = 125
there are 60 minutes in an hour and 120 minutes in 2 hours
so 1000 ounces / 2 hours is
125 cups / 120 minutes
125 / 120 = 1.04 cups per minute

Check your work
multiply times 60 to get cups per hour
1.04 * 60 = 62.4 cups per hour
multiply times 8 to get ounces per hour
62.4 * 8 = 499.2
multiply times 2 to get ounces per 2 hours
499.2 * 2 = 998.4
the number is not quite 1000 due to rounding the 125 / 120 as it is closer to 1.041666666666667
7 0
3 years ago
Read 2 more answers
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