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2 years ago

Write the equation of the line that contains the given point and has the given slope.

Mathematics

1 answer:

skad [1K]2 years ago

7 0

Answer:

y=3x+16

Step-by-step explanation:

If you turn the equation into slope point form you can then evaluate and simplify it to get y=3x+16

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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

#SPJ1

7 0

1 year ago

Here’s the next problem:)

horsena [70]

Answer:

disagree

Step-by-step explanation:

toa=opposit over adjacent= 12/9

tan(x)=12/9

tan^-1=12/9

x= 53.1

6 0

2 years ago

Read 2 more answers

A factory packed 9600kg of flour in to small bags and large bags. Each small bag contained 3kg of flour and each large bag conta

yawa3891 [41]

Answer:

696 large bags of flour were packed.

Step-by-step explanation:

Let large bags of flour be 'y'

Let small bags of flour be 'x'. That is x=2040 (according to the question)

$(3 \times x) + (5 \times y) = 9600$

$(3 \times 2040) + ( 5 \times y) = 9600$

$(6120) + (5 \times x) = 9600$

$(5 \times x) = 9600 - 6120$

$(5 \times x) = 3480$

$x = 3480 \div 5$

$x = 696$

HOPE IT HELPS

#PEACE

5 0

2 years ago

Please help me please I’m being timed

pshichka [43]

Answer:

point symmetry if no symmetry isn't an option as it looks grayed out and not clickable

5 0

1 year ago

What is the next step you should take?<br> 1 + 18n = 33

Ivahew [28]

Answer:

You need to carry the one over by subtracting 1 from 33. The new equation will be 18n = 32

3 0

2 years ago

Read 2 more answers