A grounds keeper needs grass to cover a circular field 290 feet in diameter.a store sells 50 pound bags of grass seed. One pound of grass seed covers about 400 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field? Explain ir show your reasoning

Answer:

The rate of change for the height of the cone is [tex]-2.849\times 10^{-3}[/tex] centimeters per minute.

Step-by-step explanation:

We derive an expression for the rate of change for the height of the cone by differentiating the volume formula given on statement:

[tex]\dot V = \frac{\pi}{3}\cdot (2\cdot r\cdot h \cdot \dot r + r^{2}\cdot \dot h)[/tex] (1)

Where:

[tex]\dot V[/tex] - Rate of change for the volume of the cone, measured in cubic centimeters per minute.

[tex]r[/tex] - Radius of the cone, measured in centimeters.

[tex]h[/tex] - Height of the cone, measured in centimeters.

[tex]\dot r[/tex] - Rate of change for the radius of the cone, measured in centimeters per minute.

[tex]\dot h[/tex] - Rate of change for the height of the cone, measured in centimeters per minute.

If we know that [tex]\dot V = -148\,\frac{cm^{2}}{min}[/tex], [tex]r = 222\,cm[/tex], [tex]V = 21\,cm^{3}[/tex], [tex]\dot r = -5\,\frac{cm}{min}[/tex], then the rate of change for the height is:

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

Where [tex]V[/tex] is the volume of the cone, measured in cubic centimeters.

[tex]h = \frac{3\cdot (21\,cm^{3})}{\pi\cdot (222\,cm)^{2}}[/tex]

[tex]h \approx 4.069\times 10^{-4}\,cm[/tex]

From (1):

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

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

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

[tex]\dot h = \frac{3\cdot \left(-148\,\frac{cm^{3}}{min} \right)}{\pi\cdot (222\,cm)^{2}} -\frac{2\cdot (4.069\times 10^{-4}\,cm)\cdot \left(-5\,\frac{cm}{min} \right)}{222\,cm}[/tex]

[tex]\dot h = -2.849\times 10^{-3}\,\frac{cm}{min}[/tex]

The rate of change for the height of the cone is [tex]-2.849\times 10^{-3}[/tex] centimeters per minute.

Answer:

13x

Step-by-step explanation:

Answer:

13x

Step-by-step explanation:

So we need to make the denominator equal in order to collect like terms.

25x^2/5x+8x^2/x =?

Denominator needs to be 5x so multiply the second quotient by 5.

25x^2/5x + 40x^2/5x = ?

=65x^2/5x

=13x^2/x      <---- x^2/x is like 2-1 which is exponent 1, x to the exponent 1 is x

=13x

Your answer is 13x

Answer:

3.2seconds

Step-by-step explanation:

Step one:

Robert run the 100 meter dash in 13.5 seconds

We are told that he later  run same distance in 10.3 seconds

Required.

The time difference in the first dash and the second

Step two:

The first dash took 13.5 seconds

the second took 10.3 seconds

the difference = 13.5-10.3= 3.2seconds

Answer:

I can only make an equation

20+30(4)+y(z)=X

Step-by-step explanation:

SO we know the registration fee is 20 dollars so that can’t change

We know that its 30 dollars for up to 4 visits so 30*4

THe Y is for the amount it take to ski after the 4 times

The Z is for the amount of times you went after the 4 times

So yeah

Answer:

23

Step-by-step explanation:

4x+3=95

4x=92

x=23

Answer:

g(2) = -9

Step-by-step explanation:

g(2) = -1 x g(1) - 4

g(2) = -1 x 5 - 4

g(2) = -5 - 4

g(2) = -9

Answer:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

16 / 20 = 0.800

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 800

Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*

In this case, Rule I applies, so 16/20 (or 0.800) rounded to the nearest hundredth in decimal format is:

0.80

Next, we will make 16/20 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:

0.80 = 0.80/1

Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:

(0.80 x 100) / (1 x 100) = 80/100

That's it. 16/20 rounded to the nearest hundredth is displayed below (simplified if necessary):

4/5

Answer:

Lesser to greater

Step-by-step explanation:

1.742

1.779

1.78

1.84

1.873

1.9

Answer:

2

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

Slope of the line is calculated by the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\[/tex]

We have the points ( -2 , 4) and (3 , -5) so plug in the values in the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{-5-4}{3-(-2)}\\\\m=\frac{-9}{5}\\[/tex]

so the slope(m) equals -9/5

Answer:

[tex] y = 0.35x + 1.5 [/tex]

Step-by-step explanation:

To write an equation to represent the linear relationship in slope-intercept form, as [tex] y = mx + b [/tex], we need to determine the slope (m) and the y-intercept (b).

Find slope (m) using of the line that passes through (0, 1.5) and (100, 36.5):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{36.5 - 1.5}{100 - 0} = \frac{35}{100} = 0.35 [/tex]

The y-intercept (b) is the value of y when x = 0. It is the point where the y-axis is intercepted. Form the table, we see that y = 1.5 when x = 0. Therefore,

y-intercept (b) = 1.5

Substitute m = 0.35, and b = 1.5 into [tex] y = mx + b [/tex], to get the equation.

The equation would be:

✅[tex] y = 0.35x + 1.5 [/tex]

Answer:

Step-by-step explain

1. 30-50=20

2. Two negatives equal a positive

So first you subtract 30 by 50 and get 20 then you look at the signs which are both negative. Meaning both of the negative signs become a positive. (-30)-(-50)=20

Answer:

113.04

Step-by-step explanation:

To calculate a circle's area, the formula is Pi R Squared. R is radius. Radius squared would be 36. (6*6) Now, multiplied by Pi, the area would be:  113.04. (36*3.14)

Answer:

113.04

Step-by-step explanation:

The radius of a circle is 6 yards. What is the circle's area?

r=6 yd

Use 3.14 for ​.

square yards

You answered:

113.1

square yards

remember

Use this formula to find the area from the radius.

A=​r2

Use 3.14 as an approximation for ​.

​≈3.14

solve

The radius is 6 yards. Replace r by 6 in the formula.

A

= ​r2

≈ 3.1462

≈ 3.1466

≈ 113.04

The area is about 113.04 square yards.

Questions

answered

10

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Answer: the answer is b

Step-by-step explanation:

Answer:

Oh im doing my star 360 test rn too!

Step-by-step explanation:

Answer:

-28

Step-by-step explanation:

-28

Answer:

6

Step-by-step explanation:

x=6

ax+bx=cx

10+bx=16

10+6=16

x=6

Answer:

11 is 150

12 is 168 lectures and 70 professers  

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

In order for the rug to be similar to the first rug, the measurements must have the same ratio as the original measurements.

Longer over shorter: 240/216 = 10/9

Let's look at A: 96/84 = 8/7 (NOT 10/9)

Let's look at B: 110/108 = 55/54 (NOT 10/9)

Let's look at C: 118/96 = 59/48 (NOT 10/9)

Let's look at D: 80/72 = 10/9 (= 10/9)

D is similar

Hope this helps!

Answer:

-3,-2,0,2,3 [c]

Step-by-step explanation:

I had that quiston on my warm up [edge 2021] and got it right

i first tried b and that didnt work

Answer:

h = 64 feet

Step-by-step explanation:

If you graph the function you see that 64 feet is the maximum of the parabola so this is the max height that the projectile reaches.

Answer:

x=2/3

Step-by-step explanation:

6x=3x+2

3x=2

x=2/3

Answer:

x = 6

Step-by-step explanation:

This means that they are equivalent to each other.

10 = 30 *Multiply by 3

2 = x

Since we multiplied by 3 to get 30, x is just 2 mulitplied by 3.

x = 6

Answer:

Hi

the answer would be:

10/40 = 2/2+x => if you solve the equation, it'll be equal to : x = 6

I hope that it's correct.

Step-by-step explanation:

Answer:

B I believe.

Step-by-step explanation:

Answer:

The student will have $145

Step-by-step explanation:

The student would already have $100 and if you take 15 times the number of weeks, 3 weeks. 15 times 3 is $45. $100 + $45 = $145

Answer:

D. $145

Step-by-step explanation:

In order to find out the answer to the equation 100 + 15w = ? we have to multiply 15 by the 3 weeks the student has saved up 15 dollars to get the total money they have saved by saving 15 dollars per week:

15 * 3 = 45

we then add the 100 dollars that was already saved up to 45

100 + 45 = $145

So after 3 weeks $145 have been saved up

Hope this helps!!!

Answer:

The fraction of the day Rehee spent pulling weeds = 1/16

Step-by-step explanation:

Let us take the fraction representing a whole day to be a whole number - 1

Renee spent 1/8 of the day landscaping around the house.

This means she spent 1/8 X 1 landscaping around the house = 1/8

She spent half of the time pulling weeds.

This means she spent 1/2 of 1/8 of  1 landscaping around the house = 1/16

1/2 X 1/8 X 1 = 1/16

The fraction of the day Rehee spent pulling weeds = 1/16

Answer:

Step-by-step explanation:

First we need to find the volume of the cube;

Volume = Length * Width * height

Given;

Length = 3 1/3 in

Width = 2 2/3 in

Height = 2 1/3 in

Volume = 3 1/3  * 2 2/3 * 2 1/3

Volume = 10/3 * 8/3 * 7/3

Volume = 560/3 in^3

To know thw amount of 1/3 in^3 it takes to fill the box, we will take the ratio of the volume to the unit volume;

Ratio = 560/3÷1/3

Ratio = 560/3 * 3/1

Ratio = 560

Hence it will take 560 1/3 in^3 to fill a box with that volume

Answer:

5/39

Step-by-step explanation: