what is 0.000750 in scientific notation?

Answer:

[tex]\frac{dh}{dt}\approx0.08622\text{ ft/min}[/tex]

Step-by-step explanation:

We know that the conical water tank has a radius of 13 feet and is 21 feet high.

We also know that water is flowing into the tank at a rate of 30ft³/min. In other words, our derivative of the volume with respect to time t is:

[tex]\frac{dV}{dt}=\frac{30\text{ ft}^3}{\text{min}}[/tex]

We want to find how fast the depth of the water is increasing when the water is 17 feet deep. So, we want to find dh/dt.

First, remember that the volume for a cone is given by the formula:

[tex]V=\frac{1}{3}\pi r^2h[/tex]

We want to find dh/dt. So, let's take the derivative of both sides with respect to the time t. However, first, let's put the equation in terms of h.

We can see that we have two similar triangles. So, we can write the following proportion:

[tex]\frac{r}{h}=\frac{13}{21}[/tex]

Multiply both sides by h:

[tex]r=\frac{13}{21}h[/tex]

So, let's substitute this in r:

[tex]V=\frac{1}{3}\pi (\frac{13}{21}h)^2h[/tex]

Square:

[tex]V=\frac{1}{3}\pi (\frac{169}{441}h^2)h[/tex]

Simplify:

[tex]V=\frac{169}{1323}\pi h^3[/tex]

Now, let's take the derivative of both sides with respect to t:

[tex]\frac{d}{dt}[V]=\frac{d}{dt}[\frac{169}{1323}\pi h^3}][/tex]

Simplify:

[tex]\frac{dV}{dt}=\frac{169}{1323}\pi \frac{d}{dt}[h^3}][/tex]

Differentiate implicitly. This yields:

[tex]\frac{dV}{dt}=\frac{169}{1323}\pi (3h^2)\frac{dh}{dt}[/tex]

We want to find dh/dt when the water is 17 feet deep. So, let's substitute 17 for h. Also, let's substitute 30 for dV/dt. This yields:

[tex]30=\frac{169}{1323}\pi (3(17)^2)\frac{dh}{dt}[/tex]

Evaluate:

[tex]30=\frac{146523}{1323}\pi( \frac{dh}{dt})[/tex]

Multiply both sides by 1323:

[tex]39690=146523\pi\frac{dh}{dt}[/tex]

Solve for dh/dt:

[tex]\frac{dh}{dt}=\frac{39690}{146523}\pi[/tex]

Use a calculator. So:

[tex]\frac{dh}{dt}\approx0.08622\text{ ft/min}[/tex]

The water is rising at a rate of approximately 0.086 feet per minute.

And we're done!

Edit: Forgot the picture :)

Answer:

3 : 2

Step-by-step explanation:

Number of students in the class = 15

Number of boys in class  = 9

To describe ratio;

  We know that the number girls in the class will be

          15 - 9 = 6 students.    

Simply in this class, the ratio of boys to girls:

            9 : 6  = 3 : 2

In the class, we have 3 boys to 2 girls.

Answer:

A 72$

and a good day

Answer:

72

explanation:

Just took the test

Answer:

Step-by-step explanation:

15 mph just multiply it

Answer: I think its 2/25 I'm not to sure though

Answer:

B

Step-by-step explanation:

Answer:

I only know that for table e the bottom under 4 is 6.

Step-by-step explanation:

Answer:

Organic farmers must pay for a costly certification process.

Step-by-step explanation:

Just took the quiz!

Answer:

She poured 6.5 ounces for each of her friends

Step-by-step explanation:

Answer:

y = -2x+8

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

    = ( -4-4)/(6-2)

    = -8/4

   = -2

The slope is -2

We can use the slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -2x +b

Using the point ( 2,4)

4 = -2(2) +b

4 = -4+b

Add 4 to each side

4+4 = -4+4+b

8 = b

y = -2x+8

Answer: it is B. 5n + m

Step-by-step explanation: it is because 5 is not being multiplied by anything so it is incorrect.

The answer is B

Give thanks to this if ur from the UK

Probaly you all are American

Answer:

POINT BBBBBB

Step-by-step explanation:

Point B represent the warmer noon temperature.

The temperature difference between two points of measurement. The temperature varies in either time or location.

Given temp. at 10 am = -6 ⁰C

temp. at noon raise by 4 degrees

temp. at noon = -6 + 4 = -2 ⁰C

acc. to number line in question,

-6 … A -3 B … 0 … C 3 D

here -2 lie between -3 and 0,

and B is between -3 and 0

Hence B  represent of the warmer noon temperature in degrees Celsius.

Learn more about temperature difference;

https://brainly.com/question/17864807

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Answer:

Part 1) The value of x is 21

Part 2 The value of y is 8

Step-by-step explanation:

step 1

Find the value of x

we know that

------> by supplementary angles (linear pair)

step 2

Find the value of y

we know that

 ----> by vertical angles

substitute the value of x and solve for y

Answer:

14 ft

Step-by-step explanation:

70 times 2 is 140 and 140 divided by 10 is 14

Answer:

The height is 14 ft

Step-by-step explanation:

10 x 14= 140

140 x 1/2 = 70

Answer:

0.40404040.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

remove unnecessary ()

5/9x+3/8-(1/2x+1/3)

when there is a - in front of an expression in (), chanbe he sign of each term in the expression

5/9x+3/8-1/2x-1/3

now calculate the difference

1/18x+3/8-1/3

subtract the fractions

1/18x+1/24

Answer:4% profit????  she aint gonna get rich of off 4......

...... shes gonnba be broke that lame as (c(un)t

Step-by-step explanation:

7/8 cups of sauce are needed to make 1 pizza.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Domino's can make 4 pizzas using 3 1/2 cups of sauce.

Now, for 1 pizza he needed

= (3 1/2) /4

= (7/2)/ 4

= 7/2 x 1/4

= 7/8 cups of sauce.

Hence, 7/8 cups of sauce needed.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

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Answer:

x = 8

Step-by-step explanation:

From the figure attached,

'b' and 'c' are the parallel lines and line 'a' is a transversal line intersecting parallel lines at the points respectively.

Line 'a' is perpendicular to line 'b'.

Angle between lines 'a' and 'b' is 90°.

Therefore, m(∠X) + 90° = 180° [Linear pair of angles]

m(∠X) = 90°

Since, angle X and angle having measure [5(x + 7) + 15]° are the corresponding angles,

m(∠X) = [5(x + 7) + 15]°

90° = [5(x + 7) + 15]°

5(x + 7) = 90 - 15

5(x + 7) = 75

x + 7 = 15

x = 8

Therefore, x = 8 will be the answer.

Answer:

#2 and #4

Step-by-step explanation:

area is length times width, so to find your answer you must multiply all the lengths and widths given in the table. when you multiply 3x+6 and 4 (for #2) and simplify, you get 12x+24. when you multiply 2x+4 and 6 (for #4) and simplify, you get the same thing: 12x+24.

Answer:B and E

Step-by-step explanation:

Answer:

I wanna say C but I might be wrong

Step-by-step explanation:

Given that the sum of 3 consecutive even integers is 36, we can define the variables to be:

And we can set up the equation as:

[tex]\sf {N + (N + 2) + (N + 4) = 36} \\ \sf{\longrightarrow 3N + 6 = 36} \\ \sf{\longrightarrow 3N = 30} \\ \sf{\longrightarrow N = 10}[/tex]

The first even number which we assumed was N, which is equal to 10.

And hence the answer will be

[tex]\leadsto \underline{\boxed{\sf{\pink{\quad10\quad}}}}[/tex]

Verification:

3 consecutive even no.s :

Their sum = 10 + 12 + 14 = 36

Hence, N = 10 is the solution of the question.

Answer:

x=5or x=1/3

Step-by-step explanation:

Answer:

$686.27

Step-by-step explanation:

700$=102% so the price before the increase was 100%

Answer:

TRUE

Step-by-step explanation:

There is a fact about the perpendicular lines:

The product of their slopes is -1

Example:

The slope of a line that is perpendicular to another line, is the negative reciprocal is TRUE

Answer:

a. y = 3x + 5

b. y = 1/4x + 1

Step-by-step explanation:

Slope is rise over run.

Part A:

The rise is 3 and the run is 1. The larger the rise and the smaller the run, the steeper the line is.

Part B:

The y-intercept of the original is at 5, so if you want to move it 4 units down, subtract 4 from 5.

5 - 4

1

Your new y-intercept is 1.

Hope this helps!

Answer:

answer: Ninety-Six.....

Step-by-step explanation:

96

Answer:

21

Step-by-step explanation:

yeeeeeeeeeeeeeeeeeeeeeeeeeeeeet