What is the answer here? Will mark brainliest!

The equation of this circle in standard form is x² + y² - 8x  - 16y + 73.75 = 0

From the question, we have the following parameters that can be used in our computation:

Endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5)

These endpoints represent endpoints of the diameter

So, we have the diameter to be

diameter = √[(x₂ - x₁)² + (y₂ - y₁)²]

Substitute the known values in the above equation, so, we have the following representation

diameter = √[(4 - 4)² + (5.5 - 10.5)²]

Evaluate

diameter = 5

So, we have

radius, r = 5/2

The midpoint is

(a, b)= 1/2[(4 + 4, 5.5 + 10.5)]

So, we have

(a, b)= (4, 8)

The circle equation is calculated as

(x - a)² +(y - b)² = r²

Substitute the known values in the above equation, so, we have the following representation

(x - 4)² +(y - 8)² = 2.5²

This gives

x² - 8x + 16 + y² - 16y + 64 = 6.25

Evaluate the like terms

x² + y² - 8x  - 16y + 73.75 = 0

Hence, the equation is x² + y² - 8x  - 16y + 73.75 = 0

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The growth rate of the bacterial colony after 3 hours is 32%, the population of a slowly growing bacterial colony after t hours is given by the function p(t) = 100 + 24t + 2t²

The growth rate of the colony is the rate of change of the population, which is given by the derivative of the function. The derivative of p(t) is p'(t) = 24 + 4t

The growth rate after 3 hours is p'(3) = 24 + 4 * 3 = 32. This means that the population of the colony is increasing by 32% after 3 hours.

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The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The volume of the solid obtained by rotating the region bounded by the curves y = 5\(x^5\) and y = 5x about the x-axis is -(8π/21) cubic units.

We have,

To find the volume of the solid obtained by rotating the region bounded by the curves y = 5\(x^5\) and y = 5x about the x-axis, we can use the method of cylindrical shells.

The region bounded by the curves is between x = 0 and x = 1.

Let's consider an infinitesimally thin strip of width dx at a distance x from the y-axis.

The height of this strip will be the difference between the two curves:

(5\(x^5\)) - (5x).

The circumference of the shell at this distance x is 2πx (since we are rotating about the x-axis).

Therefore,

The volume of this infinitesimally thin shell is given by:

dV = (2πx) x [(5\(x^5\)) - (5x)] x dx.

To find the total volume, we integrate this expression over the interval [0, 1]:

V = ∫(0 to 1) (2πx) x [(5\(x^5\)) - (5x)] dx.

Simplifying the expression inside the integral:

V = 2π ∫(0 to 1) [(5\(x^6\)) - (5x²] dx.

Integrating term by term:

V = 2π [(\(x^7\))/7 - (x³)/3] evaluated from 0 to 1.

Substituting the limits of integration:

V = 2π [((\(1^7\))/7 - (1³)/3) - ((\(0^7\))/7 - (0³)/3)].

Simplifying:

V = 2π [(1/7 - 1/3) - (0 - 0)].

V = 2π [(3 - 7)/21].

V = 2π (-4/21).

V = -(8π/21).

Therefore,

The volume of the solid obtained by rotating the region bounded by the curves y = 5\(x^5\) and y = 5x about the x-axis is -(8π/21) cubic units.

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Answer:

see the explanation below

Step-by-step explanation:

The expression for the cost can be given as

y=mx+c

where x= the distance

           m= the cost to move x distance

            c= the fixed cost

Therefore the total cost to ship the cost will be y

The percent increase in the flight increase is \(18.35\)%

Definition of percentages.

A percentage is a ratio of some value out of a hundred.

With this definition in mind, if \(20\)% of \(200\) students have a test tomorrow, then a total of \(40\) students have a test tomorrow.

Percentage Increase Calculation Example #1

For the first example, we find the percentage increase for the following scenario:

If your total savings of $\(60\) at the beginning of the week grew to $\(90\) by the end of the week, what is the percentage increase?

This is where our three-step process comes in:

Step 1: Find the difference in values ​​by subtracting the initial value from the final value.

In this case, the final value minus the initial value can be calculated as follows:

\(90 -60 = 30\)

So in this example, the difference between the two values ​​would be \(30\). Remember that when calculating the percentage increase, you will always subtract the smaller value from the larger value.

Step 2:Divide the difference by the initial number

The next step is to take the difference (\(30\) in this example) and divide it by the starting number (\(60\) in this example) like this:

\(30/60 = 0.50\)

Always express your answer as a decimal (this will make your life a lot easier when you get to step three).

Step 3: Multiply by \(100\)

The last step is to multiply the decimal result from step two by one hundred and express the final result as a percentage.

\(0.50 * 100 = 50\)

Final answer: 50% increase

That is all! Using three steps, you can conclude that there was a \(50\)% increase in the money you had from the beginning of the week to the end of the week.

Hence percent increase can be found as follows:

=$\((432-365)/365*100\)

=\(18.35\)%

Therefore, a percent increase in the flight increase is \(18.35\)%

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Using the simplex method, the maximum value of Z=5A+4B is found to be 19.2 when A=3.6 and B=1.2. The calculations can be confirmed by using any software that solves linear programming problems.

To solve the given linear programming problem using the simplex method, we start by converting the problem into standard form. We introduce slack variables to convert the inequalities into equations.The initial tableau is as follows:

      | A | B | S1 | S2 | S3 | S4 |   RHS

------------------------------------------

 Z    | -5 | -4 | 0  | 0  | 0  | 0  |    0

------------------------------------------

 S1   |  6 |  4 | 1  | 0  | 0  | 0  |   24

 S2   |  1 |  2 | 0  | 1  | 0  | 0  |    6

 S3   | -1 |  1 | 0  | 0  | 1  | 0  |    1

 S4   |  0 |  1 | 0  | 0  | 0  | 1  |    2

We perform the simplex iterations until the optimal solution is reached. After applying the simplex method, the final tableau is obtained as follows:

      |  A  |  B  |  S1  |  S2  |  S3  |  S4  |   RHS

------------------------------------------------------

 Z    |  0  | 1.8 | 0.2  | -1   | -0.4 |  0.4 | 19.2

------------------------------------------------------

 S1   |  0  |  0  |  0   | 1.5  | -1   |  1   |  3

 S2   |  1  |  0  | -0.5 |  0.5 |  0.5 | -0.5 | 1.5

 A    |  1  |  0  | 0.5  | -0.5 | -0.5 |  0.5 |  0.5

 S4   |  0  |  0  |  1   | -1   | -1   |  1   |  1

From the final tableau, we can see that the maximum value of Z is 19.2 when A=3.6 and B=1.2. This solution satisfies all the constraints of the problem. The calculations can be verified using any software that solves linear programming problems, which should yield the same optimal solution.

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Answer:

2 lbs. for $4.50

Step-by-step explanation:

Do a ratio

2 : 4.50

You want to see how much it cost per pound, so divide them by 2

2 ÷ 2 : 4.50 ÷ 2

1 : 2.25

So per pound, the hamburger will cost $ 2.25

________________________________________________________

3 : 6.90

You want to see how much it cost per pound, so all you need to do is divide them by 3

3 ÷ 3 : 6.90 ÷ 3

1 : 2.3

So for the first one, it cost 2.25 per pound, and for the second one, it cost 2.3 per pound....the one that is better will be 2.25 because it cost 5 cents less than the second one

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

(3x+5)

Step-by-step explanation:

..............

Answer:

2) Yes, because every input (x) has an individual output (y)

6) No, because there is an input that has 2 outputs

8) No, because there is an input that has 2 outputs

11) (I am unsure, but I think it is) No, there is no inputs

12) No, because there is an input that has 2 outputs

Step-by-step explanation:

For functions, every input needs to have only one output

To calculate process capability, you must know the specifications, process center, and process variation.

Therefore, the correct answer is "All of the above."

To calculate the process capability, follow the given steps:

1. Determine the specifications, which include the upper and lower specification limits (USL and LSL) set by the customer or industry standards.
2. Calculate the process center, typically represented as the mean (average) of the process data.
3. Analyze process variation by calculating the standard deviation, which measures the spread of the data.
4. Calculate the process capability indices (Cp, Cpk), which will show you how well the process meets the given specifications.

By considering all these factors, you can accurately determine the process capability of your process. Thus, to calculate process capability, you must know the specifications, process center, and process variation.

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Answer:

30

Step-by-step explanation:

all traiangles have to same vetec

Answer:

Since the angle on the top is a 90 degree as you might have noticed.

And the other angle is 30 degrees.

Then the last angle should be 60 degrees.

(Because every angle in a triangle should add up to 180 degrees)

I don't know about the measure of the sides tho.

Hope that helps !

Below is the answer

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Answer:

2x^3 + 4x^2 - 7x + 5

Step-by-step explanation:

Start your hunt by looking for the polynomials in which the highest power of x comes first.  That automatically eliminates the first two answer choices.

In which of the remaining two polynomials do the powers of x appear in descending order?  Not in 6x^3+ 5x-3x^2+2.  Therefore, the correct answer is the fourth:  2x^3 + 4x^2 - 7x + 5.

Answer:

d

Step-by-step explanation:

Answer:

3 hours for Navya and 1 hour for Mia

Step-by-step explanation:

if we multiply 15 mph by 3 it is 45 and if we multiply 41 by 1 it is 45 so they would arrive at 1 pm and it takes Navya 3 hours to get there and Mia 1 hour to get there

I think at least lol

Answer:

The rate of the increasing volume is 50000\(\pi \frac{mm^{3}}{s}\)  

Step-by-step explanation:

The rate of the increasing volume can be calculated as follows

The formula to calculate the volume V of a sphere is

\(V=\frac{4}{3} \pi r^{3}\)

Where r is the radius

It is given that the radius is increasing at 5 mm/s, then it follows that

\(\frac{dr}{dt} =5\frac{mm}{s}\)

Since volume V is a function of radius  r, and radius  r is the function of time t, then the chain rule formula to find derivatives is introduced here

\(\frac{dV}{dt}=\frac{dV}{dr}\cdot \frac{dr}{dt}\)

The first step is to find \(\frac{dV}{dr}\)

\(V=\frac{4}{3} \pi r^{3}\)

By the formula of  \(\frac{d}{dx} (x^{n})=nx^{n-1}\), then for \(V=\frac{4}{3} \pi r^{3}\)

\(\frac{dV}{dr}=3\cdot \frac{4}{3} \pi r^{3-1}\)

\(\frac{dV}{dr}=4 \pi r^{2}\)

The second step is to find \(\frac{dV}{dt}\)

\(\frac{dV}{dt}=\frac{dV}{dr}\cdot \frac{dr}{dt}\)

Substitute \(4 \pi r^{2}\)  for  \(\frac{dV}{dr}\) , \(5\frac{mm}{s}\)  for  \(\frac{dr}{dt}\)

\(\frac{dV}{dt}=4 \pi r^{2}\cdot 5 \frac{mm}{s}\)

For the given radius rate, the formula of the increasing volume is

\(\frac{dV}{dt}=4 \pi r^{2}\cdot 5 \frac{mm}{s}\)

Since the given diameter of the sphere is 100 mm, then the radius of the sphere is

radius = \(\frac{diameter}{2}\)

radius = \(\frac{100~\text{mm}}{2}\)

radius = 50 mm

The third step is to find the rate of increasing volume of the given sphere

Substitute 50 for r, then it follows that

\(\frac{dV}{dt}=4 \pi (50~\text{mm})^{2}\cdot 5 \frac{mm}{s}\)

\(\frac{dV}{dt}=4 \pi ~2500~\text{mm}^{2}\cdot 5 \frac{mm}{s}\)

\(\frac{dV}{dt}=50000 \pi \cdot \frac{mm^{3}}{s}\)

Hence the rate of increasing volume of the given sphere is \(50000 \pi \cdot \frac{mm^{3}}{s}\)

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A minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.

Therefore, a minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.

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My brother currently  have $9$ dollars.

Let x represent the amount of money my brother currently has.

We can use the given information to set up two equations.

In the first equation, we can write:

x + 5 = x

This equation states that if my brother and I exchange $5$, we will have the same amount of money.

In the second equation, we can write:

2x = 14 + x

This equation states that if my brother gives me $14$, I will have twice as much money as him.

By solving the two equations, we can determine that my brother currently has $9$ dollars.

This can be expressed as the equation x = 9.

Therefore, my brother currently has $9$ dollars.

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To determine if a differential form is exact, we need to check if its partial derivatives satisfy the condition of equality. If the differential form is not exact, we can multiply it by an integrating factor to make it exact.

Given a differential form of the form M(x, y)dx + N(x, y)dy, we can determine if it is exact by checking if ∂M/∂y = ∂N/∂x. If this condition is not satisfied, the differential form is not exact. However, we can multiply the differential form by an integrating factor to make it exact.

By multiplying the original differential form by an integrating factor, which is usually a function of either x or y, the resulting form will have equal partial derivatives, satisfying the condition for exactness. The integrating factor effectively "corrects" the form and makes it exact.

By finding the appropriate integrating factor and multiplying it with the given differential form, we can transform it into an exact form. This process is a fundamental technique in solving certain types of differential equations and allows us to find solutions that would otherwise be challenging to obtain.

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If a function f is periodic with period p, then f(t + p) = f(t) for every t. The trigonometric functions y = sin x and y = cos x are periodic, with period 2π and amplitude 1 .

If a function f is periodic with period p, then f(t + p) = f(t) for every t. This is the definition of a periodic function. Therefore, if a function f is periodic with period p, then f(t + p) = f(t) for every t.

To determine the period and amplitude of the trigonometric functions y = sin x and y = cos x, we need to consider their graphs. Both graphs repeat themselves after an interval of 2π. Hence, their period is 2π. The maximum value of the function is 1, and the minimum value of the function is -1. Therefore, the amplitude of both functions is 1.

The graph of the function y = sin x can be represented as shown below:

Graph of y = sin x

The graph of the function y = cos x can be represented as shown below:

Graph of y = cos x

The interval [0, 2π] represents a complete cycle for both graphs. The amplitude of each function is represented by the distance from the x-axis to the maximum or minimum value of the function, which is equal to 1.

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To have an equal number of plates and spoons, the number of plates in packages of 9 must be a multiple of 12 (the number of spoons in packages of 12) and the number of spoons in packages of 12 must be a multiple of 9 (the number of plates in packages of 9).

The least common multiple of 9 and 12 is 36. Therefore, the restaurant owner should order packages of plates and spoons such that the number of plates is a multiple of 4 and the number of spoons is a multiple of 3, in order to have an equal number of plates and spoons. The smallest number of packages of plates and spoons that satisfies this condition is one package of plates (9 plates) and one package of spoons (12 spoons). This gives a total of 9 plates and 12 spoons, which are equal in number. Therefore, the restaurant owner should order at least one package of plates and one package of spoons to have an equal number of plates and spoons.

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Answer:

2+(-35)

Step-by-step explanation:

please make me brainlist i would love the support

Answer:

32)

Step-by-step explanation:

The reason is the least amount of flowers is 32 and since she doesnt have anymore flowers of that type she cant make more bouquets

I hope you found this helpful!

Answer:

8

Step-by-step explanation:

6x+1 = 9x-23

add 23 to both sides

subtract 6x from both sides

3x=24

x=8

Answer:

8 =x

Step-by-step explanation:

The angles are the same so

6x+1 = 9x-23

Subtract 6x from each side

6x+1-6x = 9x-6x-23

1 = 3x-23

Add 23 to each side

1 +23 = 3x-23+23

24 = 3x

Divide by 3

24/3 = 3x/3

8 =x

Answer:

Step-by-step explanation:

3x = f

2x = e

x is how many batches you want to make.

Answer:

y = 0.20x(-38,000) + 38,000

Step-by-step explanation:

y: represents how much the price is now.

x: Represents the number of years passed.

y = 0.20x(-38,000) + 38,000

For example if it's 1 year

y = 0.20(1) (-38,000) + 38,000

y = 0.20(-38,000) + 38,000

y = -7600 + 38,000

y = 30,400

Answer:

A. Because he doesn’t like to eat Chinese food too much in a short period of time, p is not really the same for each trial and so we cannot use the binomial distribution to calculate the desired probability.

Step-by-step explanation:

As it is mentioned in the question that he doesn't like the Chinese too much in a very short interval so he prefers various other foods for dinner

So now we have to determine the probability for the next 7 days

So based on the options mentioned, we prefer option A as we do not use the binomial distribution here as it shows only success results that are not confirmed in the given case

Therefore, the correct option is A.

Answer:use a right triangle calc. On the web it does it for you and shows you how it got the answer.

Step-by-step explanation: