At the beginning of a snowstorm, Leah had 7 inches of snow on her lawn. The snow then began to fall at a constant rate of 1 inch per hour. Assuming no snow was melting, how much snow would Leah have on her lawn 3 hours after the snow began to fall? How much snow would Leah have on her lawn after tt hours of snow falling?

Answer:

Step-by-step explanation:

Given function is,

f(x) = [tex]x\sqrt{x}[/tex]

We can rewrite this function as,

f(x) = [tex]x^{\frac{3}{2}}[/tex]

a). Domain of the function is [0, ∞)

Derivative of the function in this domain,

f'(x) = [tex]\frac{3}{2}x^{(\frac{3}{2}-1)}[/tex]

     = [tex]\frac{3}{2}x^{\frac{1}{2}}[/tex]

Since, f'(x) > 0 in the interval [0, ∞)

Function is increasing in the interval [0, ∞)

b). For local maxima and local minima,

  Second derivative of the function,

  f"(x) = [tex]\frac{3}{2}(\frac{1}{2})x^{\frac{1}{2}-1}[/tex]

         = [tex]\frac{3}{4}x^{-\frac{1}{2}}[/tex]  > 0

   So the function should have a local minima.

   But the function is continuous in the interval x ≥ 0,

   There is no local minima (only absolute minima).

c). Since, second derivative is undefined at x = 0,

   There are no inflection points.

d). Since, f"(x) > 0 in the interval [0, ∞)

   Concavity of the curve is UPWARDS.

1/2 x 60 = 30                                                           3/10 x 1000 = 300

cancel the common factor of 2                          simpplify the expression

Answer:

1/2 x 60= 30 and 3/10 x 1,000= 3,000

Step-by-step explanation:

Answer:

x=40

Step-by-step explanation:

to get from 3 to 15, you multiply by 5

multiply 8 by 5 and you get 40

x is 40

please give me brainliest!!<3

Answer:

3379

Step-by-step explanation:

Answer:

XY = 50

Step-by-step explanation:

Triangle given in the picture,  

Point B, C and D are the midpoints of the sides of the triangle.

By applying midsegment theorem in the given triangle,

"Segment joining the midpoints of two sides of a triangle is parallel and half of the length of the third side"

CD = [tex]\frac{1}{2}(XY)[/tex]

25 = [tex]\frac{1}{2}(XY)[/tex]

XY = 50

Therefore, XY = 50 is the answer.

Answer:

the 4th one hope this helps

9514 1404 393

Answer:

Step-by-step explanation:

The relation between speed, distance, and time is ...

  distance = speed × time

a) The distance the bird traveled downwind is ...

  (18 miles/hour)(x hours) = 18x miles

3 miles per hour slower than 18 miles per hour is 15 miles per hour. So the distance in miles the bird traveled after x hours on the return trip is ...

  15x = 18x -5

  5 = 3x . . . . . . add 5 -15x

  x = 5/3 . . . . . .divide by 3

Then the distance traveled downwind is ...

  18x = 18(5/3) = 30 . . . . miles

and the time for the return trip is ...

  (30 mi)/(15 mi/h) = 2 h . . . . . for the entire return trip

So, the entire round trip is 2×30 miles = 60 miles.

__

b) The time for the entire trip is ...

  5/3 h downwind + 2 h return = 3 2/3 h = 3 hours 40 minutes 0 seconds

Answer:

y=1/4x+1

please mark as brainliest

Answer:

The answer to the question provided is y = -3x + 9.

Answer:

10

Step-by-step explanation:

I did this before and i got it right

Answer:

Local maxima at x=0

Local minima at x=4

Step-by-step explanation:

Answer:

P(B | A) = 1.2

Step-by-step explanation:

Given

To determine

Using the formula

P(B | A) = P(A ∩ B) / P(B)

             =  .78 / .65

             = 1.2

Therefore,

P(B | A) = 1.2

Answer:

2.DB=7.5+7.5=15cm

3.DV=12.75+12.75=25.5

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Simply multiply to find your answer:

Answer = 600 x 1/10

Simplify. Divide:

600 x 1/10 = 600/10 = 60

60 is your answer.

~

Answer:

[tex] \frac{1}{10} th \: of \: the \: value \: 600 \\ \frac{1}{10} \times 600 \\ 60 \: is \: the \: required \: number.[/tex]

Answer:

b=60a

Step-by-step explanation:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y_1 = y - coordinate \: \: point \\ x_1 = x - coordinate \: \: point[/tex]

[tex]y + 8 = 4(x - 5)[/tex]

[tex]y - ( - 8) = 4(x - ( + 5))[/tex]

[tex] \large \boxed{( - 8,5)}[/tex]

Answer: 50%

Step-by-step explanation:

The shaded portion is half of 100

Answer: 50%

Step-by-step explanation: Since the tape diagram in total represents 100%, and half of the tape diagram is shaded, this means 50% is shaded.

Answer:

5/6 is eaqual to 2.5/3

Step-by-step explanation:

Answer:

The domain is -2 to positive 2.

Answer:

58.50

Step-by-step explanation:

Answer:

0.015 or 1.5% tax

Step-by-step explanation:

90000x0.015 = 1350

Answer:

More on supplies than she earned in sales.

Answer:

She spent 25 dollars from her pocket. No profit

Step-by-step explanation:

Answer:

b incorrect sentences

Step-by-step explanation:

got it right on my test

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

[tex]6 \times 10 {}^{ - 2} [/tex]

Answer:

4b = 4(11/4)

3b = 3(7/3)

-b > 6.5 - 5.25

b < 1.25

Hope this helps!

/////////////////////////////////////////////////////////////////////////////////////////////////////////////