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The rate of increase of the radius is 0.025 in/sec.

A three-dimensional object with a sphere-like shape. A sphere has no vertices or edges, unlike other three-dimensional shapes. The distances between each point on its surface and its center are equal.

In other words, the distance between any two points on the surface and the sphere's center is equal. The formula for the Volume of the sphere is given by

Volume of sphere = (4/3)πr³

Where, r = radius of the sphere

Here we have

A sphere is increasing in volume at the rate of 20 in³/s.  

Here we need to find at what rate the radius of the sphere increases when the radius is 4 in.

Let v = Volume of the sphere at time t

=> Change in Volume = dv/dt  = 20

r = Radius of the sphere at time t

As we know, the Volume of the sphere, v = (4/3)πr³

Differentiate the Volume of the sphere with respect to t

=> dv/dt = (4/3)3πr³⁻¹)(dr/dt)

=> dv/dt = 4πr² (dr/dt)

=>  20 = 4πr² (dr/dt)  

=>  5 = πr² (dr/dt)  

Given that radius, r = 4

=> 5 = π4² (dr/dt)  

=> 5 = (22/7) 64 (dr/dt)  

=> 5 = 3.14(64) (dr/dt)  

=> dr/dt = (5/3.14 × 64)  

=> dr/dt = 0.024880573

=> dr/dt = 0.025

Therefore,

The rate of increase of the radius is 0.025 in/sec.

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My teacher:
- 5'3
- 5.25 ft
- 63 in
- 160 cm

Answer:

6x^2 + 3x + 21 = 3(2x^2 + x + 7)

Step-by-step explanation:

We have this as follows;

6x^2 + 3x + 21 = 3(2x^2 + x + 7)

The quadratic trinomial inside the bracket cannot be factored any further

so we have the present form as the correct answer

Answer:

Yes.

Step-by-step explanation:

A right triangle, by definition, must have at a 90° angle, typically denoted by a square. In the given picture, there is a square within the triangle where an angle is, denoting that it is a right angle. ∴ by definition given above, this is a right triangle.

~

Answer:

C

Step-by-step explanation:

the answer is C but the alternative form is 9.64797×10^28

nevermind i think it's B now arg sorry

The formula becomes a times 1, which is merely a, when you swap out 0 for the exponent x. This is so because 1 equals any number raised to the power of 0. The value of a will always be the initial value for any function with this form since the initial value is the function's value with an input of 0.

By looking for an equation's constant, one can also locate initial values. Graph functions benefit from understanding the y-intercept.

Any number that is multiplied by 0 equals 1.

A number is equal to a number multiplied by 1.

The value of a multiplied by one will equal its starting value.

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The percentages for this problem are calculated as follows:

The percentages in this problem are obtained applying proportions, multiplying the total amount by the decimal equivalent of the percentage.

Hence the amount that represents 100% of 36 seconds is obtained as follows:

1 x 36 = 36 seconds.

(as a percentage of 100% has a decimal equivalent of 1).

The amount that represents 25% of 36 seconds is obtained as follows:

0.25 x 36 = 9 seconds.

(as a percentage of 25% has a decimal equivalent of 1).

The percentage of 125% of 36 students can be obtained combining the two previous expressions as follows:

1.25 x 36 = 1 x 36 + 0.25 x 36 = 36 + 9 = 45 seconds.

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Answer:

We need more information

Step-by-step explanation:

Two tiny parallel horizontal lines serve as the "equality sign" connecting 1 kilogramme of NaCl to 27 ml of a solvent.

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Answer:

sorry beacuse I don't know anything

Given:

In a circle, two chords CE and DU intersect each other inside the circle at B.

Measure of arc CD = 185 degrees.

Measure of arc EU = 55 degrees.

To find:

The measure of angle CBD.

Solution:

Intersecting chords theorem: According to this theorem, if two chords intersect each other inside the circle then the measure of angle on the intersection is half of the sum of intercepted arcs.

Using Intersecting chords theorem, we get

[tex]m\angle CBD =\dfrac{1}{2}(arcCD+arcEU)[/tex]

[tex]m\angle CBD =\dfrac{1}{2}(185^\circ +55^\circ )[/tex]

[tex]m\angle CBD =\dfrac{1}{2}(240^\circ )[/tex]

[tex]m\angle CBD =120^\circ[/tex]

Therefore, the measure of angle CBD is 120 degrees.

Check the picture below.

let's bear in mind that the -(1/3)x has a negative slope, namely going down, so a reflection over the x-axis will yield the same points pretty much, but instead of the IV Quadrant, on the I Quadrant, above, whilst the slope remains the same, it simply turns positive.

The vertex of V(x) = 13x² - 184x + 5800 are at 7.08 + i19.9 Or  7.08 - i19.9.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

We know the graph of a quadratic equation is a parabola and the vertex of the parabola are the roots o the quadratic equation.

Given, V(x) = 325x² - 4600x + 145000.

V(x) = 13x² - 184x + 5800.  (we have factored out 25)

Now, By applying Sridhar acharya's formula,

x = [- b ± √(b² - 4ac)]/2a.

x = [184 ± √(33856 - 301600)]/26.

x =  [184 ± i√267744]/26.

x =  [184 ± i517.44]/26.

x = 7.08 + i19.9 Or  7.08 - i19.9.

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Answer:

12% green

Step-by-step explanation:

Answer:

68,000

Step-by-step explanation:

53,000+5,000x3

5,000x3=15,000

53,000+15,000=68,000

Answer: I think its Rational -_-

Step-by-step explanation: Chili Dogs

Answer:

rational, this fraction is not continuous, like pi

Answer:

number of child ticket sold=x =86

number of adult ticket sold = y =74

Answer:

1. Rational

2. Rational

3. Irrational

4. Rational

5. Irrational

Answer:

O hrs and 30 minutes is the answer

Step-by-step explanation:

want proof?

Answer:

  about 0.04878 hours ≈ 2 minutes 56 seconds

Step-by-step explanation:

You want the time until a whale-watching boat and a whale meet if the boat is traveling south at 83 km/h and the whale is traveling north at 40 km/h when they start 6 km apart.

The speed at which the gap between the boat and the whale is closed is the sum of their respective speeds:

  closing speed = 83 km/h + 40 km/h = 123 km/h

The time it takes to close the 6 km gap is ...

  time = distance/speed

  time = (6 km)/(123 km/h) ≈ 0.04878 h

Converted to minutes and seconds, that is about ...

  0.04878 h ≈ 2 minutes 55.6 seconds

It will be about 2 minutes 56 seconds before the boat and whale meet.

__

Additional comment

NOAA recommends a distance of at least 100 yards be maintained between a boat and a whale. In some areas, the recommended distance is 400 yards when approaching head-on. The recommended boat speed is 15 knots or less, about 28 km/h.

Answer:

The result of 6 divided by 9.51 is approximately 0.63.

Answer:

0.63091482649

Step-by-step explanation:

Answer:

[tex]4x^5 +8x^3 = 4x^3(x^2 + 2)[/tex]

option 1

The pharmacist utilized a 10% percentage mixture, according to the solution, in a quantity of 2 ounces.

To calculate the percentage, we must first determine the value's ratio to the sum of its parts. We must then multiply the result by 100.

Comparing two quantities while rebasing the second quantity to 100 is the most fundamental use of percentages. If the proportion of employed women who are women is of relevance to us, let's say.

We are aware that m = CV, where

V = volume and c = concentration

Let

M is equal to 6.5%, m' is equal to 7.9%, and m = 3.7%.

It is known that m + m' = M.

where cv + c'v' = CV

Since cv + c'v' = CV, the formula is:

c = 3.7% concentration = 0.037;

v = volume of 3.7% = 1 ounce;

c = 7.9% concentration = 0.079;

v' = volume of 7.9%;

C = 6.5% concentration = 0.065;

and V = volume of 6.5% = v + v'

We obtain by altering the values of the variables in the equation

3.7% × 1/3.7% + 7.9 %v' = 6.5%(v + v')

3.7% + 7.9 %v' = 6.5%(1 + v')

3.7% + 7.9 %v' = 6.5% + 6.5%v'

7.9%v' - 6.5%v' = 6.5% - 3.7%

1.4%v' = 2.8%

v' = 2.8%/1.4%

2 ounces are v'.

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The value of the exponent based on the information is 3. Therefore, 5³ = 35.

It should be noted that the exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

Based on the information given, it should be noted that this can be written as:

5^x = 125

5^x = 5³

Since the base is equal

x = 5.

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No, I don't aree with him because the formula for the median is formula is {(n + 1) ÷ 2}th, where “n” is the number of items in the set and “th” just means the (n)th number. To find the median, first order the numbers from smallest to largest. Then find the middle number.

so it's 1,4,7,8 and 13 so the median is 7

so we do not agree with him

u can download the gauthmath app i promise it's very helpful :)

Answer:vgugyu

Step-by-step explanation:

Answer:

The awnser is 6.25 pounds

Step-by-step explanation: 75/12 = 6.25 which means every month she lost a total of 6.25 pounds and on a 12 month average she lost 75 pounds

Answer:

~64 meters

Step-by-step explanation:

depending on how you go at this, you can get a variant of what i have, but it should not go over 70 meters. nor under 60 meters.