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mezya [45]
3 years ago
5

What is the approximate average rate of

Mathematics
1 answer:
olchik [2.2K]3 years ago
7 0

Answer:

Average change in height of the plant is 0.5 cm per day.

Step-by-step explanation:

Height of the plant on day 20 = 40 cm

Height of the plant on day 40 = 50 cm

Change in height = 50 - 40 = 10 cm

Number of days between day 20 and day 40 = 20

Average change in height of the plant = \frac{\text{Change in height of the plant}}{\text{Duration}}

                                                                = \frac{10}{20}

                                                                = 0.5 cm per day

Therefore, average change in height of the plant is 0.5 cm per day.

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A water tank in the shape of an inverted circular cone has a base radius of 3 m and height of 7 m . If water is being pumped int
Wittaler [7]

The water level increases by 0.608 meters per minute when the water is 3.5 m deep

<h3>How to determine the rate?</h3>

The given parameters are:

  • Radius, r = 3
  • Height, h = 7
  • Rate in, V' = 4.3m^3/min

The relationship between the radius and height is:

r/h = 3/7

Make r the subject

r = 3h/7

The volume of a cone is;

V = \frac 13\pi r^2h

This gives

V = \frac 13\pi (\frac{3h}{7})^2h

Expand

V =  \frac{3h^3}{49}\pi

Differentiate

V' = \frac{9h^2}{49}\pi h'

Make h' the subject

h' = \frac{49}{9\pi h^2}V'

When the water level is 3.5.

We have:

h' = \frac{49}{9\pi * 3.5^2}V'

Also, we have:

V' = 4.3

So, the equation becomes

h' = \frac{49}{9\pi * 3.5^2} * 4.3

Evaluate the products

h' = \frac{210.7}{346.36}

Evaluate the quotient

h' = 0.608

Hence, the water level increases by 0.608 meters per minute

Read more about volumes at:

brainly.com/question/10373132

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7 0
2 years ago
If the general solution of a differential equation is ​y(t)equals=Upper C e Superscript negative 4 t Baseline plus 7Ce−4t+7​, wh
Maru [420]

Answer:

y(t) = 3e^{-4t}+7

Step-by-step explanation:

y(t) = Ce^{-4t}+7

At <em>y</em>(0) = 10, when <em>t</em> = 0, <em>y</em> = 10.

y(0) = 10 = Ce^{-4\times0}+7

10 = C+7

C = 3

Hence, the solution is

y(t) = 3e^{-4t}+7

8 0
3 years ago
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Find the sum of the following series
leonid [27]

Answer:

They are in A. P so the sum will be 2380

4 0
3 years ago
Work out m and c for the line:<br> y = X – 2
RUDIKE [14]
Y = mx + c therefore
m = 1
c = -2
4 0
2 years ago
A paper is in the form of a rectangle ABCD in which AB= 18 cm and BC=14cm.A semicircular portion with BC as diameter is cut off.
svetoff [14.1K]

Answer:

remaining portion is area= area of rectangle- area of semicircle

= 18*14 - 3.14*7^2

=252-154.86

=199.86cm^2

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3 years ago
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