What is a better credit score?
Select the correct answer below:
A lower number
An even number
An odd number
O A higher number​

Answer:

[tex]\frac{dh}{dt} = \frac{216}{1875\pi}[/tex]

Step-by-step explanation:

Given

Represent radius with r and height with h

[tex]h = 12ft[/tex]

[tex]r = 10ft[/tex]

[tex]Rate = \frac{8ft^3}{min}[/tex] when [tex]h = 10ft[/tex]

Express radius in terms of height

[tex]\frac{r}{h} = \frac{10}{12}[/tex]

[tex]\frac{r}{h} = \frac{5}{6}[/tex]

[tex]r = \frac{5}{6}h[/tex]

First, we need to determine the volume of the cone in terms of height.

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

Substitute [tex]r = \frac{5}{6}h[/tex]

[tex]V = \frac{1}{3} * \pi * (\frac{5}{6}h)^2 * h[/tex]

[tex]V = \frac{1}{3} * \pi * \frac{25}{36}h^2 * h[/tex]

[tex]V = \frac{1}{3} * \pi * \frac{25}{36}h^3[/tex]

[tex]V = \frac{25}{108} \pi h^3[/tex]

Differentiate both sides w.r.t time (t)

[tex]\frac{dV}{dt} = 3 * \frac{25}{108} \pi h^{3-1} * \frac{dh}{dt}[/tex]

[tex]\frac{dV}{dt} = \frac{75}{108} \pi h^{2} \frac{dh}{dt}[/tex]

Solve for [tex]\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt} = \frac{dv}{dt} * \frac{108}{75\pi h^2}[/tex]

At this point, [tex]h = 10[/tex] and [tex]\frac{dv}{dt} = \frac{8ft^3}{min}[/tex]

So, we have:

[tex]\frac{dh}{dt} = 8 * \frac{108}{75\pi 10^2}[/tex]

[tex]\frac{dh}{dt} = \frac{8 * 108}{75\pi 10^2}[/tex]

[tex]\frac{dh}{dt} = \frac{864}{7500\pi}[/tex]

[tex]\frac{dh}{dt} = \frac{216}{1875\pi}[/tex]

Hence:

The rate is [tex]\frac{216}{1875\pi} ft/min[/tex]

Using implicit differentiation, it is found that the depth of water changes at a rate of -0.0764 feet per minute.

The volume of a cone of radius r and height h is given by:

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

Applying implicit differentiation, we can find it's rate of change, thus:

[tex]\frac{dV}{dt} = \frac{2\pi rh}{3}\frac{dr}{dt} + \frac{\pi r^2}{3}\frac{dh}{dt}[/tex]

In this problem:

Then:

[tex]\frac{dV}{dt} = \frac{2\pi rh}{3}\frac{dr}{dt} + \frac{\pi r^2}{3}\frac{dh}{dt}[/tex]

[tex]-8 = \frac{\pi (10)^2}{3}\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt} = -\frac{24}{100\pi}[/tex]

[tex]\frac{dh}{dt} = -0.0764[/tex]

The depth of water changes at a rate of -0.0764 feet per minute.

A similar problem is given at https://brainly.com/question/9543179

A circle is 360 degrees so 360 = b + 96 + 209

360 = b + 305

b = 55 degrees.

Answer:

There is 4/6 as a fration or 4.6

Step-by-step explanation:

Answer:

2:3 is equivalent to 4:6

Step-by-step explanation:

I know that these ratios are equivalent because each side of the ratio 4:6, are divided by the same number, 2, 4 divided by 2 is 2 and 6 divided by 2 is 3 which gives us a equivalent ratio of 2:3

Answer:

Line m and m is a straight line

Answer:

60 adults

Step-by-step explanation:

There are 60 adults in the dance because as we have 150 people and the ratio of adults to students is 2:3, we need to add 2+3=5. Now we have 5 parts, so 150÷5=30. This means that there are 30 people per part, and as adults hold 2 parts of it, 30 x 2=60. So, there are 60 adults in the dance. Hope it helps!

Answer:

-8-x=x-4x

-8-x=-3x

-8=-2x

4=x

Answer:

free robux!?!!?

Step-by-step explanation:

Answer:

cell wall :)

Answer:

Lysosome.

Step-by-step explanation:

If You Saw The Questions Before This One, you can see the Question: Which accurately labels the lysosome? and its X, so the answer is Lysosome

Answer: Soil loss is caused by a variety of factors, including erosion from wind and water, mechanical tilling, logging, agricultural practices, and poor water management. Erosion and sedimentation, the major effects of soil loss, are widespread and can be devastating.

Erosion

Erosion is a natural process on hill slopes. The rate of erosion is determined by several factors, including soil type, rainfall, and length and percent of slope. Generally, human-induced changes in the landscape lead to higher levels of erosion than would occur naturally. While there are many ways to minimize erosion, vegetative cover is the most effective over the long term. Eroding road.When vegetation is removed, the rate of soil erosion is greatly accelerated, often beyond sustainable levels.

Sedimentation

Eroded soil deposited downslope is referred to as sedimentation. When severe rain or wind events occur or soils are disturbed by human

The Sedimentation Control Act of 1973 requires operators to implement short- and long-term mitigation measures to reduce erosion on- and off-site. Forest landowners who wish to harvest trees are exempt from these regulations if they comply with forestry practice guidelines, which include erosion control measures and mitigation. Best management practices (BMPs) are voluntary practices that reduce sources of se

Step-by-step explanation:

-1 because y-intercept is where y meets zero, therefore the y intercept of this graph would be -1<3

Answer:

vfgvygfvygybgybgybgybvgybgyvbg

Step-by-step explanation:

cvbnhbvcxzcdfvgbhjkhnfgvcdxsdfggvbgfvygf

Answer:

5÷n

Step-by-step explanation:

5÷n will tell you how much it is for each notebook

Answer:

False

Step-by-step explanation:

A regression line tries to average out all data points, so it may not touch any of them.

Answer:

Step-by-step explanation:

either the c or d

Answer:

2.304

Step-by-step explanation:

Answer:

so the answer is 1 whole and 3/7 hope this helps :)

Answer:

[tex]100x^{2} +200x+5[/tex]

Step-by-step explanation:

Answer:

x ≤ 3

Step-by-step explanation:

9514 1404 393

Answer:

  y = -3/5x +27/5

Step-by-step explanation:

Since we want a parallel line, we can use the same x- and y-coefficients to find the new constant in the given form:

  -3(4) -5(3) = -12 -15 = -27

In the given form, the equation of the desired line is ...

  -3x -5y = -27

Solving for y, we have ...

  -5y = 3x -27

  y = -3/5x +27/5

Answer:

it takes him 180 kinutes to read 90 pages

Answer:

48 miles.

Step-by-step explanation:

If Jake's grandma lives 8 miles away, and his aunt is 6 times as far, then you multiply 6 * 8 and get 48.

Answer:

−64x12y12

Good Luck!!!

Answer:

[tex]-64x^{12} y^{12}[/tex]

Step-by-step explanation:

1. remove parentheses by multiplying factors.

2. use exponent rules to remove parentheses in terms with exponents.

3. combine like terms by adding coefficients.

4. combine the constants.

Answer:

3,5,7

Step-by-step explanation:

odd numbers is a multiple of three, at least one of them can't be prime

hope this helps  there is 1 of them

Step-by-step explanation:

Let the smallest angle be x

2nd angle = 2x

3rd angle = 9x

By angle sum property

x+2x+9x=180°

x=180/12

x=15

Three angles are 15, 30 and 135

Answer:

(- 12/35) THIS IS THE MAIN ANSWER YOU CAN SEE IN THE GOOGLE

Answer:

B

Step-by-step explanation:

The chart says Jana swam 200 miles in 120 s, and Micah swam 200 meters in 104 s.

Answer:

B! It's B!

Step-by-step explanation:

With A, there is a difference of 75 meters.

With C, there is a difference of 25 seconds.

With D, there is a difference of 9 seconds.

But with B, they both show they are correct!

Answer:

He will love the Tea

Step-by-step explanation:

12 divided by 2 is 6

We take 6 ( the liter that he likes ) and multiply it by 15. This gives us 90, exactly what Peggy made.

Answer:

It is just right!

Step-by-step explanation:

12 divided by 2 is 6 . We take 6 and multiply it by 15. This gives us 90, which is exactly what Peggy made.

Answer:

14

[tex] 14 > 2x[/tex]

Step-by-step explanation:

you first have to move 4x to the right side and then add 20 yo the left side to get what i got

Answer:

Hope you understand, and never stop striving to learn!

Step-by-step explanation:

The sample mean is both values added together then divided by 2.

$46.63

The margin of error is the low value divided by the high value * 100% =76.8% (then you have to minus this from 100% so the margin of error is 23.2%)

Answer:

(7,5)

Step-by-step explanation:

Answer:

The maximum revenue for the week is $19,000.

Step-by-step explanation:

Denote the variables as follows:

X = small business audit

Y = tax return

The maximizing function is:

Z = 2000·X + 300·Y

The maximizing function is subjected to the constraints:

100·X + 10·Y ≤ 900

10·X + 2·Y ≤ 100

0 ≤ X and 0 ≤ Y

The problem can be solved using the simples method as follows:

Let s and t be slack variables.

Initial:

         x           y         s       t       b                Basic

       100        10        1       0     900               s (departing)

       12.5      2.5        0       1      100                t

Z   -2000    -300     0       0       0

   (entering)

Step 1:

         x           y         s           t       b                Basic

         1          1/10     1/100     0      9               x

         0           1        -1/10      1       10              t (departing)

Z        0        -100       20      0       18000

               (entering)

Step 2:

         x       y         s           t         b                Basic

         1       0       1/50     -1/10      8               x

         0      1       -1/10         1        10              y

Z        0      0       10         100     19000

               (entering)

The optimal solution is:

X = 8

Y = 10

The maximum revenue for the week is $19,000.