Given the equation y=1/3x+2 what is the rate of change?

Answer:

Step-by-step explanation:

Distance has to do with how far an object or a body has travelled. If a hiker starts at point P and walks 2.0 kilometers due east and then 1.4 kilometers due north, the total distance covered by the hiker will be:

Distance = 2.0km + 1.4km

Total distance travelled = 3.4km

The displacement is the distance covered in a specified direction. This is expressed using the Pythagoras theorem as shown:

R² = 2.0²+1.4²

R² = 4+1.96

R² = 5.96

R = √5.96

R = 2.44km

Hence the magnitude of the hiker’s displacement vector R is 2.44km

Find the diagram attached

Complete question is;

A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of 50 cm/hr. At what rate is its diameter decreasing?

Answer:

Diameter is decreasing at the rate of 5/(2πr) cm/hr

Step-by-step explanation:

We are told the stone is wearing away at a rate of 50 cm/hr. This means the volume is decreasing. Thus;

dV/dt = -50 cm/hr

Now, a grindstone is in the shape of a cylinder. Thus, volume of grindstone is;

V = πr²h

dV/dr = 2πrh

Now,to find the rate at which the diameter is decreasing, we'll write;

dr/dt = (dV/dt)/(dV/dr)

dr/dt = -50/(2πrh)

We are given;

Diameter = 200 cm

Radius; r = 200/2 = 100 cm

Thickness; h = 10 cm

Thus;

dr/dt = -50/(2π × r × 10)

dr/dt = -5/(2πr) cm/hr

The rate at which grindstone diameter decreases is [tex]-5/2\pi r \;{\rm cm/hr}[/tex] and this can be determined by using the given data.

Given :

A 10 cm thick grindstone is initially 200 cm in diameter and it is wearing away at a rate of 50 [tex]\rm cm^3/hr[/tex].

The following steps can be used in order to determine the rate at which grindstone diameter decreases:

Step 1 - According to the given data, the rate at which grindstone volume decreases is:

[tex]\dfrac{dV}{dt} = 50\;{\rm cm^3/hr}[/tex]        --- (1)

Step 2 -  The formula of the volume of the cylinder (grindstone) is given below:

[tex]V = \pi r^2 h[/tex]

Step 3 - Differentiate the above expression with respect to 'r'.

[tex]\dfrac{dV}{dr} = 2\pi r h[/tex]          --- (2)

Step 4 - So, using the expression (1) and (2) the rate at which grindstone diameter decreases is:

[tex]\dfrac{dr}{dt}=\dfrac{\frac{dV}{dt}}{\frac{dV}{dr}}[/tex]

[tex]\dfrac{dr}{dt}=\dfrac{-50}{2\pi r \times 10}\\[/tex]

[tex]\dfrac{dr}{dt} = -\dfrac{5}{2\pi r }\; {\rm cm/hr}[/tex]

So, the rate at which grindstone diameter decreases is [tex]-5/2\pi r \;{\rm cm/hr}[/tex].

For more information, refer to the link given below:

https://brainly.com/question/12748872

Answer:

3 + 3.75x=18

subtract 3 from both sides

3.75x=15

divide by 3.75 on both sides

x=4

Step-by-step explanation:

Answer:

1. 7.5 mph

2. 400

Step-by-step explanation:

1. You would just do 60/8 to find the answer.

2. You would take the answer you got from the previous question and do 3000/7.5

Hope I helped!! :)

Answer:

to be able to derive the formula if needed

Step-by-step explanation:

as you gain more class grades they sometimes ask you the origin of a certain formula that's why

Answer:

4/3 - 1/2= 5/6 hope this helped

Answer:

-4√10 / 5 or -8√10 / 5

Step-by-step explanation:

See attachment for calculation

Answer: -4 x 16, -48

Step-by-step explanation:

word phrase: -4 x 16

symplified = -48

product means multiply

Answer:

The coordinate of the point 3/10 of the way from A to B = (0.5, -4.4)

Step-by-step explanation:

to calculate the point 3/10 of the way from A to B, let us first find the difference in the coordinates of the point

Change in x coordinate: x₁ = -3,  x₂ = 11

= x₂ - x₁ = 11 - (-4) = 11 + 4 = 15

3/10 of 15 = 0.3 × 15 = 4.5

This means that the point on the x axis is 4.5 points away from x₁

= -4 + 4.5 = 0.5

Change y coordinate: y₁ = -8,   y₂ = 4

= y₂ - y₁ = 4 - (-8) = 4 + 8 = 12

3/10 of 12 = 0.3 × 12 = 3.6

This means that the point on the y axis is 3.6 points away from y₁

= -8 + 3.6 = -4.4

Therefore the coordinate of the point 3/10 of the way from A to B = (0.5, -4.4)

Answer:

5/2

Step-by-step explanation:

Parallel lines have the same slopes

Answer:

Step-by-step explanation:

because the new line is parallel, it will have the same slope as the original equation.

slope

=

−

3

we know the slope and a point, so we can use the point slope formula:

y

−

y

1

=

m

(

x

−

x

1

)

y

1

is the y coodinate,

x

1

is the x coordinate,

and m is the slope

plug the values in

y

+

2

=

−

3

(

x

+

5

)

The anwer is B, f(x)=9500-750x

Hope this helps, brianliest if you can!

Answer:

m = − 2

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

b+25+296=360

b+321=360

b=360-321

b=39

Answer:

where's the map

Step-by-step explanation:

Answer:

Exact Form:

17/2

Decimal Form:

8.5

Mixed Number Form:

8 1/2

Answer:

QR=3, PQ=3, RP=6, SP=9, RS=3, ST=11, RT=14, QR=3

Step-by-step explanation:

Answer    2,290 of total sheets of paper she bought.

Step-by-step explanation:

65x36=2340

subtract 50 for the black pages that she did not use.

2340-50=2,290

Answer:

743487 uhy7ujnuh

Answer:

Kindly check explanation

Step-by-step explanation:

1.) regular time hours = 160

Overtime hours = 18

Gross pay = (9.28 * 160) + (1.5 * 9.28 * 18) = $1735.36

2.) Last year, Ida Zolen worked 2,000 hours at regular time pay of $8.20 an hour. She also worked 75 hours over time at double his regular rate. What was Ida’s gross pay last year?

Gross pay:

(2000 * 8.20) + (2 * 8.20 * 75) = $17,630

3. Alan Kirbaum works on an 8-hour day basis and is paid $8 an hour for regular time work and time-and-a half for overtime work. Last week he worked these hours: Monday:9 ; Tuesday:6 ; Wednesday:11 ; Thursday:8 ; Friday:9.

A) How many regular hours did he work?

Regular hours = (8 + 6 + 8 + 8 + 8).= 38 hours

B) How many overtime?

Overtime = (1 + 3 + 1). = 5 hours

C) What is his overtime rate?

2.5 * $8 = $20

D) What is his overtime pay?

$20 * 5 = $100

E) Find Alan’s gross pay.

(38 * $8) + $100 = $404

4. Stephen Woll’s regular pay is $20 an hour. He is paid time and a half for overtime work beyond 40 hours a week. He

worked: Monday:11 ; Tuesday:10 ; Wednesday:10 ; Friday:12. Find Stephen

Total Hour = (11 + 10 + 10 + 12) = 43 hours

Answer: 178

Step-by-step explanation:

18x13

234 area of white granite

8x7

56 area of blue granite

234-56 to find the area of the white granite

Answer:

so so so so srry i cant see that pic

Step-by-step explanation:

Answer:

tell them that you would like them to reconsider your level in whatever class that is

Step-by-step explanation:

Answer:

Maybe have good handwriting (if written assignents), double check your questions to make sure they are corect, show all of your work, ask extra questions to show you are paying attention, take notes and try to make sure she/he notices.

Step-by-step explanation:

hope this helped

Answer:

933 seats

Step-by-step explanation:

Given that :

4 different group of seats are in a movie theater :

The middle group ; 2 side groups and the back group

Number of seats in the movie theater :

THE MIDDLE GROUP:

21 Rows and 21 seats per row

Number of seats = 21 * 21 = 441 seats

THE SIDE GROUPS:

21 rows and 7 seats per row

Number of seats = 2(21 * 7) = 294 seats

BACK GROUP:

6 rows and 33 seats per row

Number of seats = 6 * 33 = 198 seats

Total number of seats :

441 + 294 + 198 = 933 seats

Answer:

52

Step-by-step explanation:

i did the test.

Answer:

The third answeer

Step-by-step explanation:

Also nice talk

Answer:

0.1% were returned

Answer:

$15, 805.00

Step-by-step explanation:

Tax is based on the state you live in.

Answer:

c = 4

Step-by-step explanation:

Solve for"c" in the following equation:

- 8 c + 7 = - 25

Subtract 7 from both sides:

- 8 c = - 25 - 7

combine like terms

- 8 c = -32

divide both sides by "-8" to isolate c on the left

c = - 32 / (-8)

c = 4

Answer:

13.7

Step-by-step explanation:

A{2} + B{2} =C{2} \\

6{2} +B{2} =15{2} \\

6x6+B(2) =15x15\\

36+B(2)=225\\

           -36\\

           \sqrt{189} =13.7