tortoise A walks 32 feet per hour and Tortoise B walks 8 inches per minute. who travels faster

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

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We want to find the rate of change of the surface for a cube of increasing volume.

When the side length is equal to 20 inches, the surface area is increasing at a rate of 439.29 in^2 per minute.

We know that for a cube of side length S, the volume is:

V = S^3

And the surface area is:

A = 6*S^2

Here we know that the volume increases at a rate of 12in^3/min.

Because the volume depends on the side length cubed, we can say that the side length increases at a rate of:

∛(12in^3)/min = 2.29 in/min

Then, as a function of time t in minutes, we can write the side length as:

S(t) = (2.29 in/min)*t

Then the surface area equation is:

A(t) = 6*((2.29 in/min)*t)*((2.29 in/min)*t)

A(t)  = (31.46 in^2/min^2)*t^2

The rate of change is given by direct differentiation, we get:

A'(t) = 2*(31.46 in^2/min^2)*t

Now we need to evaluate this in the value of t such that the side length is equal to 20 in:

S(t) = 20in = (2.29 in/min)*t

         (20in)/(2.29 in/min) = t = 8.73 min

Then we will get:

A'(8.73min) =  2*(31.46 in^2/min^2)*8.73min = 439.29 in^2/min

This means that when the side length is equal to 20 inches, the surface area is increasing at a rate of 439.29 in^2 per minute.

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Answer:

1. 6

2. -1

3. 5

4. 2

5. -1

6. 5

7. 6

Answer:

subset of {A, B, C} = { }, {A}, {B}, {C}, {A,B}, {B,C},{C,A}

Hope that my answer is helpful to you

Answer:

(a) -7+3

(b)-7+(-3)

Answer:

slope = 3

y-intercept = -4

Step-by-step explanation:

In order to find the slope and the y-intercept, transform the given equation into its slope-intercept form, y = mx + b:

Add 9x to both sides:

-9x + 9x + 3y = 9x - 12

3y = 9x - 12

Divide both sides by 3:

[tex]\frac{3y}{3} = \frac{9x - 12}{3}[/tex]

y = 3x - 4    This is the slope-intercept form where the slope, m = 3, and the y-intercept, b = -4.

To graph the line, start at the y-intercept (0, -4). Then, use your slope, m = 3 (rise 3 units, run 1 unit).  Attached is a screenshot of the graphed line, using the rise/run technique. I also plotted extra points.

Answer:

4

3 72/120

÷24 ÷24

3 3 / 5 = 3 + 3/5 = 3 + 6/10 = 3 + 0.6 = 3.6 ≈ 4 rounded to the nearest half since 3.6 is closer to 4 than 3

Step-by-step explanation:

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Answer:

Length = 34 ft

Width = 22 ft

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Answer:

Length = 34

Width = 12

Step-by-step explanation:

Let the lenght of the garden be denoted by L, and let the width of the gardne be denoted by W.

The length of a rectangular garden is 22 feet longer than its width:  L=W+22

The area of the garden is 408 square feet: A=LW=408

SubW+22 in for L in the equation LW=408 :

LW=408

(W+22)W=408

[tex]W^{2}[/tex]+22W-408=0

(W-12)(W+34)=0

So we have W=12 and W=-34. However, W can't be equal to -34 as width can't be negative. Therefore, the width of the garden is 12feet.

L=W+22=12+22=34. The length of the garden is 34feet.

Answer:

2 hours or lower

Step-by-step explanation:

$13 + $5t = fee

13 + 15t = 43 --> minus 13 on both sides

15t = 30 --> divide by 15 on both sides

t = 2

Answer: t=6

Explanation:

They want to spend less than $43, 43-13=30 and 30/5=6, Therefore they could have 6 hours max, if the initial reservation fee is $13 and and additional $5 per hour.

The amount of tax that will be deducted will be A. $14.05

In order to calculate the local tax that will be deducted, we've to multiply the amount that given by the tax percent and this will be:

= $562 × 2 1/2%

= $14.05

Therefore, the amount of tax that will be deducted will be $14.05

In conclusion, the correct option is A.

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Answer:

19

Step-by-step explanation:

because it not it

Answer:

See below:

Step-by-step explanation:

So first, we can find out the cost for one meter of cloth by dividing 25 by 337.5 Rupees:

[tex]\frac{337.50}{25} = 13.50[/tex]

We now divide 810 by 13.50

[tex]\frac{810}{13.50} = 60[/tex]

We now get our answer of 60 meters!

Cheers!

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Answer:

4.796

Step-by-step explanation:

get the 9% which is .178 plus that by 2.2 and x 2

Answer:

21.6 magazines

Step-by-step explanation:

260/12=21.6

Answer:

Mean = 24

Step-by-step explanation:

Mean = (Sum of Terms) ÷ (Total numbers of Terms)

Mean = (22 + 24 + 28 + 19 + 27) ÷ 5

Mean = 120 ÷ 5

Mean = 24

Answer: The answer is steak's temperature = chicken's temperature since they are both -5.7°C

The length of TU in the right triangle is  156.15 m.

The area of the rectangle is 12335.85 m²

The length of GH in the right triangle is 182.33 m

The area of the triangle is 8934.17 m²

Right angle triangle are triangle that has one of its angle as 90 degrees. The sides of the triangle can be found using Pythagoras theorem. Therefore, using Pythagoras theorem,

TU² = 175² - 79²

TU² = 30625 - 6241

TU² = 24384

TU = √24384

TU = 156.153770368

TU = 156.15 m

area of rectangle = lw

area of rectangle =  156.15 × 79

area of rectangle =  12335.85 m²

GH² = 207² - 98²

GH² = 42849 - 9604

GH² = 33245

GH = √33245

GH = 182.33211456

GH = 182.33 m

Area of the triangle = 1 /  2 bh

Area of the triangle = 1 /  2 × 98 × 182.33

Area of the triangle = 17868.34 / 2

Area of the triangle = 8934.17 m²

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Answer:

y = 1/3x + 5

Step-by-step explanation:

Slope = (change in y)(change in x)

Slope = (6 - 5)/(3 - 0)

Slope =  1/3

Substitute m = 1/3 and one given ordered pair  into y = mx + b. using (3, 6)

y = mx+ b

6 = 1/3(3) + b

6 = 1 + b

5 = b

the equation is y = 1/3x + 5

Answer:

2a) because they are continuous lines that don't intercept

Step-by-step explanation:

Answer:

2a) They all have the slope of 2x.

2b) R) y = 2x-3

2c) R is the lowest line because the b value (-3) has the least value out of the 3 choices.

Answer:

c

Step-by-step explanation:

cccccccc cccccccccdkdksksk

Length of rectangle: Area÷width

Area: Length×width

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Answer:

7

Step-by-step explanation:

bc

Answer:

is part 1 and part 3 the same, no

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

Answer:

2^3 + 5^2 = 34

7^2 - 3^3 = 22

8^2 + (square root) 100 = 74

Step-by-step explanation:

Hope this helps! Lol I couldn't find the square root symbol.

Answer:

x = -10

Step-by-step explanation:

Answer:

The answer is c I hope this helps

Answer:

2z+2+4z=16/5+2z-6/5; 5r+2=6r+3-r

One Solution: 3/2x+2.3-1/2x=4.3+x; 2x+2/3=2x+4/5-4x; 32p-2.5+2.1p=5p-7/2

Infinite Solution: 17/4+4.2y-9/4=2.2y+6+2y-4

Step-by-step explanation:

Step-by-step explanation:

the answer is in the image above

Answer: Therefore, your equation of the function will be y = 4x – 4.

Step-by-step explanation:

Answer:

b. -2

Step-by-step explanation:

Note the slope-intercept form: y = mx + b

Note that:

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

First, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides of the equation:

2x (-2x) + y = (-2x) + 12

y = -2x + 12

Remember, m is the variable for the term that stands for the slope (directly next to the x variable). In this case, your answer will be -2

b. -2 is your answer.

~

Answer:

b. -2

Step-by-step explanation:

2x+y=12

add -2x to both sides

y = -2x + 12

this is in slope intercept form y = mx + b

m meaning the slope

in this case the slope is -2

the answer will be b. -2

it's in the attachment hope it helps you