Find the center and radius of the circle x2 + y2 –6y – 16 = 0

Step-by-step explanation:

Since the initial fee is fixed, we can assume it is a constant and the succeeding mile fee is the variable as it changes for every mile covered.

Let x = distance (mile)

let y = total charge (dollars)

Yellowcab company equation for cost calculation;  3.50 + 2.5x = y

laxicab company equation for cost calculation;  4.54+2.3x = z

the two companies charge the same amount when y = z

; 3.50 + 2.5x = 4.54+2.3x

x = 5.2 miles

COST CALCULATION

;3.50 + 2.5x = ?

if x = 5.2;

; 3.50 + 2.5(5.2) =$16.50

OR

; 4.54+2.3x = ?

; 4.54 + 2.3(5.2) = $16.50

The fact that may countries have a lot of processes involved in the purchase of a house makes the process last about 60-90 days.

Buying a house is a very serious investment in so many countries. As a result of the process that are involved in buying the house, it may take about 60 - 90 days in order to complete the process of acquisition.

On the other hand, a car can be out rightly bought as it does not involve a lot of procedure.

Thus, the fact that may countries have a lot of processes involved in the purchase of a house makes the process last about 60-90 days.

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Nothing that we can say regarding an we are unsure of whether the terms of an are rising or falling, a passes the Comparison Test and sequence, Since bn, an also converges.

A collection of numbers, or "terms," is referred to as a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.

We are unable to comment on an.

This is due to the fact that bn converges, causing a to exceed bn, and as a result, we are unable to determine whether the terms of an are increasing or decreasing.

What can you say about an if a bn for all n? a passes the Comparison Test and converges.

This is due to the fact that since bn converges and a converges since bn, we may infer that the terms of an are likewise decreasing and that an also sequence since bn based on the comparison test.

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y-y1 = m(x-x1)

x1,y1 = point = 5,1

m = slope = -3

input the point/value

y-1 = -3 (x-5)

If we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units.

Assuming you meant to say "let f be a differentiable function where f(9) = 4 and f'(9) = 3. If we change x by -0.7 and we change y by 0.3, then we can expect the value of f(x) to change by approximately what amount?"

Using the linear approximation formula, we have:

\(Δf(x) ≈ f'(9) Δx\)

where Δx = -0.7 and we want to find Δf(x) when Δy = 0.3.

We can rearrange the formula to solve for Δf(x):

\(Δf(x) ≈ f'(9) Δx\)

Δf(x) ≈ 3(-0.7)

Δf(x) ≈ -2.1

This means that if we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units. However, this is only an approximation based on the linear behavior of the function near x = 9, so it may not be exactly accurate for large changes in x.

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If sets A={1,5} and B={a,b,c}, then the cartesian product B× A= {(a, 1), (a, 5), (b, 1), (b, 5), (c, 1), (c, 5)}.

To find B× A, follow these steps:

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Answer:

Step-by-step explanation:

I know this isnt graphed on paper but here you go,

Blue: \(y=-\frac{2}{3}x+3\)

Green: \(-4x+5\)

Red: \(y=3x-3\)

you can use desmos's graphing calculator online

\(1) \: y = 3x - 3 \\ 0 = 3x - 3 \\ - 3x = - 3 \\ x = \frac{ - 3}{ - 3} \\ x = 1 \\ y = 3x - 3 \\ 3(0) - 3 \\ y = - 3 \\ 2) \: y = - \frac{2}{3} x + 3 \\ 0 = - 2x + 9 \\ 2x = 9 \\ x = \frac{9}{2} \\ y = - \frac{2}{3}(0) + 3 \\ y = 3 \\ 3) \: y = 4x + 5 \\ 0 = 4x + 5 \\ - 4x = 5 \\ x = - \frac{5}{4} \\ y = 5\)

Answer:

The correct option is the last one(mStep-by-step explanation:

Segment BF bisects the angle ABC.

This means that the measures of angles FBC and ABF is the same, and the sum of them is the measure of angle AEC. Also, it means that each of these angles is half of AEC.

So, the correct option is the last one

Answer:

24

Step-by-step explanation:

Answer:

Hi here is your answer , ummm Actually while I did the solution..I found the slope is undefined and the graph hence vertical! you can get more help through internet by searching " what happens to the graph and slope when denominator of the slope is 0 " !

The advantages of the 'Monthly Reporting Form' are given below:a) Reduced administrative hassle compared to single shot: Monthly reporting forms reduce the workload of administrative work that may have been required if it was a single-shot.

For instance, when it comes to accounting and finance, monthly reporting can help to reduce the administrative burden that comes with running a business. This is because monthly reporting makes it easier to keep track of financial data, ensuring that records are updated on a more frequent basis.

There is a lower rate associated with monthly reporting forms as they can offer a reduction in cost compared to single-shot options. This is because they can save time and money in the long run, reducing the amount of work and administration required to keep track of things.

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Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

2,160.00

Step-by-step explanation:

okay so first we have to find 4.5% of 12,000

which is 540, then multiply 540 by the four years and

540 x 4 = 2,160.00

The total loan amount would be equal to $14,310 in four years when Jay graduates.

Given the following data:

To determine how much (future value) the total loan amount would equal in four years when he graduates:

Mathematically, compound interest is given by the formula:

\(A = P(1 + r)^{t}\)

Where;

Substituting the given parameters into the formula, we have;

\(A = 12000(1 + 0.045)^{4}\\\\A=12000(1.045)^{4}\\\\A=12000(1.1925)\)

Future value, A = $14,310

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The value of the fraction is 6/5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be = A

Now , the equation is expressed as

A = ( 2/15 ) x 9

On simplifying the equation , we get

A = 18/15

Dividing by 3 on the numerator and denominator , we get

A = 6/5

Therefore , the fraction in simplest form is 6/5

Hence , The value of the fraction is 6/5

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The statements are matched as;

Preview the text: Before reading. Option C

Take notes: while reading. Option  B

Reflect: after reading. Option A

Break reading into chunks: while reading. Option B

Reading is the process of interpreting written words and extracting meaning from them. It involves decoding and understanding the symbols, words, and sentences presented in a text.

The steps involved in reading includes;

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Answer:

The tasks mentioned in the question are:

1. Preview the text

2. Take notes

3. Reflect

4. Break reading into chunks

And the possible corresponding readings are:

1. Preview the text - Before reading

2. Take notes - While reading

3. Reflect - After reading

4. Break reading into chunks - While reading

These tasks and corresponding readings are commonly used strategies to help improve reading comprehension. Let me know if there's anything else I can help you with!

Step-by-step explanation:

The equation of the statement "6 more than twice the number is 22 is" :

2x + 6 = 22

What is meant by an equation?

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.

Assuming the complete question is as given in the figure below.

We can assume the number is x.

Now it is given that 6 more than twice the number is 22.

W can write this as a mathematical equation.

It is given that we are taking twice the number x.

This can be written as 2x.

Now to write an equation, it is given 6 more than 2x is equal to 22.

In equation form, it is as follows:

6 + 2x = 22

Therefore the equation of the statement "6 more than twice the number is 22 is" :

2x + 6 = 22

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Step-by-step explanation:

x(x-4) = 192

the Equation:

x²-4x -192 =0

=> (x-16) (x+12) =0

x= 16 or x= -12

since the x should be a possitive, so x = 16

the dimension :

the length = 16 m

the width = 12 m

Answer:

361 121 225 4

Step-by-step explanation:

you can square root these numbers to get a whole number

The domain and the range of the graphare

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

The graph

The above graph is a quadratic function

The rule of an quadratic function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is always greater than the constant term

In this case, it is -2

So, the range is y > -2

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The amount of josh's taxes for the year 2015 is $16482 (round to the nearest dollar).

The goal of a tax return are straightforward: It is a set of paperwork which must fill out to demonstrate to the government what more money you made and how much tax you have already paid for the year.

Now, according to the question;

tax rates are 10%, 15% and 25%.

Josh's taxes = 10%×9075 + 15%×(36900-9075) + 25%×(82500-36900)

                    = $907.5 + $4173.75 + $11400

Josh's taxes = $16481.25

Therefore, The amount of josh's taxes for the year 2015  (round to the nearest dollar) is $16482.

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The Taylor series formula in summation notation f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n } where f^n(a) denotes the nth derivative of f(t) evaluated at t = a.

Since the functions f(t) and g(t) have not been given in the question, I cannot provide a specific answer to this question. However, I can provide a general approach to finding the power series expansion of a function about a point.

To find the power series expansion of a function f(t) about a point t = a, we can use the Taylor series formula:

f(t) = f(a) + f'(a)(t-a) + (1/2!)f''(a)(t-a)^2 + (1/3!)f'''(a)(t-a)^3 + ...

where f'(a), f''(a), f'''(a), ... are the first, second, third, and higher-order derivatives of f(t) evaluated at t = a.

To find the first four nonzero terms of the power series expansion, we can calculate the values of f(a), f'(a), f''(a), and f'''(a) at t = a, substitute them into the Taylor series formula, and simplify the resulting expression. The first four nonzero terms will be the constant term, the linear term, the quadratic term, and the cubic term.

To find the general term of the power series expansion, we can write the Taylor series formula in summation notation:

f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n }

where f^n(a) denotes the nth derivative of f(t) evaluated at t = a. The general term of the power series expansion is given by the expression in the curly braces. We can use this expression to find any term in the series by plugging in the appropriate values of n and f^n(a).

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ANSWER:

C. G(x) = |x - 7|

STEP-BY-STEP EXPLANATION:

An absolute value function has the following form:

Where (a, b) is the origin, if we want to move 7 units to the right, we must add 7 units on the x-axis, that is, in a, therefore, the function would be:

So the correct answer is C. G(x) = |x - 7|

Answer:

x^2 + 7/2 + 15 is the answer.

Step-by-step explanation:

Make the number that is equal to x be on the side of the x, then multiply those to values.

x = -6

x= 5/2

(x + 6)*(x - 5/2)

Now, distribute the x to the x and the negative 5/2, and add that to 6 distributed to x and negative 5/2. Simplify.

\(x^{2} + -\frac{5}{2}x + 6x + 15\\\\x^{2} + \frac{7}{2} + 15\)

#teamtrees #WAP (Water And Plant)

Answer:

12 - 4 + 3 = 11

Step-by-step explanation:

Using an exponential equation, it is found that 4 mg of the substance would still be left after 32 days.

The equation for the amount of the substance y after x half-lifes is given by:

\(y = a(0.5)^x\)

In this problem, the initial mass is of a = 64 mg.

Considering a half-life of 8 days, 32 days is equivalent to x = 32/8 = 4 half-lifes, hence:

\(y = 64(0.5)^4 = 4\)

4 mg of the substance would still be left after 32 days.

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Answer:

the new value is 17 and the absolute change is -3

Step-by-step explanation:

take 20 and subtract your percentage increase

20 - (15% × 20) =

20 - 15% × 20 =

(1 - 15%) × 20 =

(100% - 15%) × 20 =

85% × 20 =

85 ÷ 100 × 20 =

85 × 20 ÷ 100 =

1,700 ÷ 100 =

Answer:

37 ounces

Step-by-step explanation:

1 pound =16 ounces

2 pounds =16*2=32 ounces

16+3=19 ounces

weight of the kitten 1 month later=56 ounces

56-19=37

Answer:

0.00189035916

Step-by-step explanation:

Answer:

0.00189035916824196597353497164461

Step-by-step explanation:

Answer: do PEMDAS and the answer should be 17 I’m not 100%

Step-by-step explanation:

Answer:

\(m=\frac{2}{3}\)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-2, -1)

Point (4, 3)

Step 2: Find slope m

The water level is rising at a rate of 0.05 feet per minute when the depth of the water is 1 foot.

The rate at which the water level is rising when the depth of the water is 1 foot can be determined by finding the rate of change of the volume of water with respect to time and dividing it by the cross-sectional area of the trough.

The trough has an isosceles triangle cross section. Given that the trough is 10 feet long, 4 feet tall, and 3 feet wide at the top, we can determine the shape of the cross section using similar triangles.

Since the cross section is an isosceles triangle, the width of the cross section at any depth will be proportional to the depth itself. Let's denote the depth of the water as h.

To find the cross-sectional area, we can use the formula for the area of a triangle: A = (1/2) * base * height. The base of the triangle is 2w, where w is the width of the cross section at a depth h. Since the width is proportional to the depth, we can express it as w = (3/4)h.

Therefore, the cross-sectional area can be calculated as A = (1/2) * 2w * h = 3/2 * h^2.To find the rate at which the water level is rising, we need to determine the rate of change of the volume of water with respect to time. The volume of water in the trough is V = A * x, where x represents the length of the trough. The rate of change of volume with respect to time is dV/dt.

Given that the rate of water pouring into the trough is 1.5 cubic feet per minute, we have dV/dt = 1.5.By substituting the expression for the cross-sectional area A = 3/2 * h^2 and the length of the trough x = 10 into the volume equation, we get V = (3/2) * h^2 * 10 = 15h^2.

Taking the derivative of both sides with respect to time, we have dV/dt = d(15h^2)/dt = 30h * dh/dt.

Solving for dh/dt, we get dh/dt = (1/30) * dV/dt = (1/30) * 1.5.

Therefore, the water level is rising at a rate of (1/30) * 1.5= 0.05 feet per minute when the depth of the water is 1 foot.

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