Find the slope of the line.
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The question is incomplete. The complete question is :

The volume of a right circular cone with radius r and height h is V = pir^2h/3. a. Approximate the change in the volume of the cone when the radius changes from r = 5.9 to r = 6.8 and the height changes from h = 4.00 to h = 3.96.

b. Approximate the change in the volume of the cone when the radius changes from r = 6.47 to r = 6.45 and the height changes from h = 10.0 to h = 9.92.

a. The approximate change in volume is dV = _______. (Type an integer or decimal rounded to two decimal places as needed.)

b. The approximate change in volume is dV = ___________ (Type an integer or decimal rounded to two decimal places as needed.)

Solution :

Given :

The volume of the right circular cone with a radius r and height h is

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

[tex]$dV = d\left(\frac{1}{3} \pi r^2 h\right)$[/tex]

[tex]$dV = \frac{1}{3} \pi h \times d(r^2)+\frac{1}{3} \pi r^2 dh$[/tex]

[tex]$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$[/tex]

a). The radius is changed from r = 5.9 to r = 6.8 and the height is changed from h = 4 to h = 3.96

So, r = 5.9  and dr = 6.8 - 5.9 = 0.9

     h = 4  and dh = 3.96 - 4 = -0.04

Now, [tex]$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$[/tex]

[tex]$dV = \frac{2}{3} \pi (5.9)(4)(0.9)+\frac{1}{3} \pi (5.9)^2 (-0.04)$[/tex]

[tex]$dV=44.484951 - 1.458117$[/tex]

[tex]$dV=43.03$[/tex]

Therefore, the approximate change in volume is dV = 43.03 cubic units.

b).  The radius is changed from r = 6.47 to r = 6.45 and the height is changed from h = 10 to h = 9.92

So, r = 6.47  and dr = 6.45 - 6.47 = -0.02

     h = 10  and dh = 9.92 - 10 = -0.08

Now, [tex]$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$[/tex]

[tex]$dV = \frac{2}{3} \pi (6.47)(10)(-0.02)+\frac{1}{3} \pi (6.47)^2 (-0.08)$[/tex]

[tex]$dV=-2.710147-3.506930$[/tex]

[tex]$dV= -6.22$[/tex]

Hence, the approximate change in volume is dV = -6.22 cubic units

Answer:

The answer is 40

Step-by-step explanation:

The cost of 50 pounds of beans is 40 dollars.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We can use a ratio to solve the problem;

5 pounds/ 4 dollars  = 50 pounds/ x dollars

Using cross products;

5x = 4 x 50

5x = 200

Divide by 5;

5x/5 = 200/5

x = 40

The cost of 50 pounds of beans is 40 dollars.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Answer:

x = 8

Step-by-step explanation:

Answer:

1. y = -2x+5

2. y = 3/4 - 3

3. intercept = -5 slope =  4/3

4. intercept = 1 slope = -1/2

Answer:

i think its =y7x-4

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

The slope is going to be associated with an “x” and we know that the slope equals -7 so it’s important to add the NEGATIVE sign.

Also, the x-intercept is POSITIVE. It won’t be A because their x-intercept is negative. It won’t be C because their slope is positive. It won’t be D. because they didn’t put -7 as a slope.

Answer:

y = 3x + 5        

Step-by-step explanation:

1) First, find the slope between the pair of points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of points A and B into the formula and simplify:

[tex]m = \frac{(-10)-(5)}{(-5)-(0)} \\m = \frac{-10-5}{-5-0} \\m = \frac{-15}{-5} \\m = 3[/tex]

So, the slope is 3.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.  

3) Using slope-intercept format, represented by the equation [tex]y = mx + b[/tex], write the equation of the line. Remember that the number in place of [tex]m[/tex], or the coefficient of the x-term, is the slope. So, substitute 3 for [tex]m[/tex]. Also, remember that [tex]b[/tex] represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:

[tex]y = 3x + 5[/tex]

Answer:

Last option, $58.50

Step-by-step explanation:

Let's look at the graph, and let's do a simple analysis of the information that it shows.

We can see that in 2009, the price was between $30 and $40.

We can see that as the years pass by, the price increases, such that in the year 2013 the selling price spikes and ranges between a bit less than $50 to a little more than $50.

Then we can only expect that a few years later (in 2016) the price to be larger than $50.

The only option that has a price larger than $50 is the last one, $58.50, then that one is the only option that can be the correct one.

We also could do an exact calculation of this if we had the raw data, but as you can see in the graph, we can not know the exact price of each graphed point (we can only estimate it) so we will not get a nice interpolation by only using the given graph.

Step-by-step explanation:

sorry po hindi ko po alam sagot

Answer:

4

Step-by-step explanation:

the third side = x

Pythagorean theorem: a² + b² = c²

3² + x² = 5²

=> x² = 5² - 3²

=> x = √5² - 3²

=> x = √25 - 9

=> x = √16

=> x = 4

Answer:

The answer is B-452.4

Step-by-step explanation:

The formula for volume of a cylinder is V= πr^2h

so you would do 3.14 times 6 squared times 4

6 squared is 36 times 4 equals 144. Then you multiply that by pi, or 3.14 and you get 452.16 round to the nearest tenth and get 452.2

Hope this helps!

Answer:

Step-by-step explanation:

1) the formula for the area of the square is:  side^2

2) by solve the square root of the area

3) √81 ; √89

4) the side of the first square is a rational number, in fact Its value is 9, a number that can be expressed as a fraction (9/1).

the side of the second square is irrational, because √89 can‘t be expressed with a fraction, in fact it is a decimal number whose figures don’t repeat.

Answer:

800

Step-by-step explanation:

First what you need to do is find the scale of magnification, which you can do with 500/1.2. You will get 416.6667 as the scale. You then need to multiply the scale by 1.92, which nets you the actual distance of 800 miles.

Hope this helps!

Solution:

The difference of cubes identity is

if a and b are any two real numbers, then difference of their cubes, when taken individually:

a³-b³= (a-b)(a² + ab + b²)→→→Option (D) is

true option.

I will show you, how this identity is valid.

Taking RHS

(a-b)(a² +b²+ab)

= a (a² +b²+ab)-b(a² +b²+ab)

= a³ + a b² +a²b -b a² -b³-ab² Cancelling like terms, we get

= a³-b³

= LHS

Answer:

y = 6

Step-by-step explanation:

-2y = 4x – 4

y = -2x + 2

7x = -4(-2x+2) + 10

7x = 8x-8+10

7x = 8x+2

7x -2 = 8x

-2 = x

plug this into the first equation and the value of y is 6

The value of y using substitution method on the given simultaneous equations is; y = -2

We are given the equations;

-2y = 4x - 4 - - -(eq 1)

7x = - 4y + 10 - - - (eq 2)

From eq 1, divide through by -2 to isolate y;

y = -2x + 2

Substitute -2x + 2 for y in eq 2 to get;

7x = -4( -2x + 2) +10

Expand the bracket to get;

7x = 8x - 8 + 10

7x = 8x + 2

8x - 7x = 2

x = 2

Put 2 for x in y = -2x + 2 to get;

y = - 2(2) + 2

y = -4 + 2

y = -2

Read more about substitution method at; https://brainly.com/question/16863577

Answer:

If he gave 1 part to his friend then he will have 3 parts left. Is that what you needed help on?

Answer:

50°

Step-by-step explanation:

By intersecting secants theorem:

[tex]m \angle \: 1 = \frac{1}{2} (140 - 40) \degree \\ \\ m \angle \: 1 = \frac{1}{2} \times 100 \degree \\ \\ m \angle \: 1 = 50 \degree [/tex]

Answer:

the answer is 50 on od

Step-by-step explanation:

Answer:

10^20

Step-by-step explanation:

So in this word problem, we have to multiply 10^13 bacteria cells on a single person by the 10^7 of people.

Always remember this, when you have exponenets with the same bases, and the question asks for multiplying and dividing exponents, you just need to add and subtract the exponent.

So in this case, we will just add since it calls for multipactation.

So we need to solve:

10^13+7

This will just equal:

10^20 power

Hope this helps ;)

Answer:

C. 450 ± 8.695

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.8331

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.8331\frac{15}{\sqrt{10}} = 8.695[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

Confidence interval is sample mean plus/minus margin of error. So

[tex]450 \pm 8.695[/tex]

The correct answer is given by option C.

Answer:

an arithmetic sequence

Step-by-step explanation:

I think it's because it adds 5 each time and in arithmetic sequences there's a common difference, so it'd be an arithmetic sequence :)

Answer:

30

Step-by-step explanation:

A=wl

1080=36w

divided by 36

equals 30

Answer:

23.75+0.35x=Y

Step-by-step explanation:

It starts at $23.75. $0.35 is per mile so that means it will have an x. Add the two up and it is y.

Answer:

The solution to this question is 104.25cm²

Step-by-step explanation:

u

Answer:

hi

Step-by-step explanation:

i think so

A=

[tex] = \pi \times {r}^{2} [/tex]

=3,14×5,76²=104,177

hope it helps

have a nice day

Answer:

5π/12

Step-by-step explanation:

5 pie / 12

(hope this helps can i plz have brainlist :D hehe)

Answer:

3/4 h

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

To solve this equation combine like terms and move all like terms to the same side. Then, isolate the variable.

First, combine like terms that are on the same side,

-10x+4=-2x-12

Next, move -10x to the other side by adding it to both sides,

4=8x-12

Then, add 12 to both sides as well,

16=8x

Finally, isolate x by dividing the whole equation by 8,

2=x

Answer:

x=2

Step-by-step explanation:

I know the answer is x=2.

First, I set up the equation.

-7x+4-3x=-2x-12

Next, I added like values on each side.

-10x+4=-2x-12

Then, I added 10x to both sides.

4=8x-12

Then, I added 12 to both sides.

16=8x

Next, I divided 8 on both sides.

2=x

To make sure 2 is the true value of x, I inserted 2 to all values of x in the equation. -7(2)+4-3(2)=-2(2)-12. Both sides of the equation are -16. So, 2 is the real value of x in this equation.

Answer:

48

Step-by-step explanation: