State the domain of the function
F(x)= (x+3)/(x-1)

1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.

We have,

To calculate the amount of barbed wire needed to fence the circular piece of land, we need to find the circumference of the circle.

Given:

Radius (r) = 25 cm

The formula for the circumference (C) of a circle is:

C = 2πr

Substituting the given radius into the formula, we have:

C = 2π x 25 cm

Now, we can calculate the circumference in centimeters.

C = 2 x 3.14 x 25 cm

C ≈ 157 cm

Now,

To convert centimeters to meters, we divide the circumference by 100.

C (in meters) = 157 cm / 100

C (in meters) ≈ 1.57 meters

Therefore,

Approximately 1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.

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The complete question.

A circular piece of land with a radius of 25 cm is going to be fenced. How many meters of barbed wire are needed?

Answer:

A deduction can only lower your taxable income and the tax rate that is used to calculate your tax. This can result in a larger refund of your withholding. A credit reduces your tax giving you a larger refund of your withholding, but certain tax credits can give you a refund even if you have no withholding.

Step-by-step explanation:

hope this helps

The mathematical equation f  =  2r -1 is applicable on the statement.

According to the statement

We have to find that the equation applicable on the statement.

So, For this purpose, we know that the

An equation is a mathematical statement that shows that two mathematical expressions are equal.

From the given information:

The number of rows = r

The number of flowers in each row = f

Then

1st row = 1 f

2nd row = 3 f

3rd row = 5 f

4th row = 7 f

Then after that the equation become is

f =  2r - 1

When we fill the value of the row in this then

f =  2r - 1

f =  2(1) - 1

f  = 1 in the 1st row and so on.

So, The mathematical equation f  =  2r -1 is applicable on the statement.

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Answer:

26

Step-by-step explanation:

One leg measures 7.

One leg measures 8.

a² + b² = c²

7² + 8² = c²

c² = √113 = 10.630 = 11

perimeter = 7 + 8 + 11

perimeter = 26

Answer:

3x+4y=-8

Step-by-step explanation:

Clear the fraction, so multiply by 4, so, 4y=-3x-8

Then move x to the other side by adding 3x to both sides.  3x+4y=-8

Answer: 69 and 420

Step-by-step explanation:

Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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A function is defined as the relationship between input and output, where each input has exactly one output. The inputs are the elements in the domain and the outputs are elements in the co-domain.

Step-by-step explanation:

f(x)= x¹ - x² +9

g(x) = x³ + 3x² + 12

To find (f-g)(x):

The operations on functions are as easy as the operations on numbers or polynomials.

We have to subtract the functions to find the above mentioned operation.

(f-g) (x)= f(x)-g(x)

         = (x¹ - x² +9)-(x³ + 3x² + 12)

The minus will change the signs of function g.

Answer:5

Step-by-step explanation:

5098

Answer:a 2.1 similar to 1.4 is 5.6  n answer to your question

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Answer:

\(\frac{dy}{dx}=\frac{8(xsec^2(x)-tan(x)+3)}{(3-tan(x))^2}\)

Step-by-step explanation:

\(y=\frac{8x}{3-tan(x)}\\ \\\frac{dy}{dx}=\frac{(3-tan(x))(\frac{d}{dx}8x)-(\frac{d}{dx}(3-tan(x)))(8x)}{(3-tan(x))^2}\\ \\ \frac{dy}{dx}=\frac{(3-tan(x))(8)-(-sec^2(x))(8x)}{(3-tan(x))^2}\\ \\ \frac{dy}{dx}=\frac{24-8tan(x)+8xsec^2(x)}{(3-tan(x))^2}\\ \\ \frac{dy}{dx}=\frac{8xsec^2(x)-8tan(x)+24}{(3-tan(x))^2}\\\\ \frac{dy}{dx}=\frac{8(xsec^2(x)-tan(x)+3)}{(3-tan(x))^2}\)

Remember to use the Quotient Rule

Hey there! :)

Answer:

(-6, -7)

Step-by-step explanation:

Given the equations:

y = -1/6x - 8

y = 2x + 5

When graphed, we get a solution, or point of intersection, at (-6, -7). This is the point at which the two equations are equal to each other. This can even be proven:

-7 = -1/6(-6) - 8

-7 = 1 - 8

-7 = -7

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

-7 = 2(-6) + 5

-7 = -12 + 5

-7 = -7

Thus, proving graphically and algebraically, the solution is at (-6, -7).

Answer:

b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Matrix notation can be confusing, but it's important to remember that systems of equations are typically written as follows:

#x + #y + #z = #

so if there was only one equation it would be written like this:

\(\left[\begin{array}{ccc}5&2&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = [16]\\\\5x + 2y + z = 16\\\)

Then just follow the same pattern for the remaining equations

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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Answer:

Step-by-step explanation:

Let's just say this circle has value x.

x increases by 5%, or 0.05 of x.

x + 0.05x = 1.05x

1.05x now increases by 5% again:

1.05x + 0.05(1.05x) = 1.1025x

The total increase is equal to (1.1025-1)*100 = 10.25%

Hope this helps!

Answer:

173

Step-by-step explanation:

45(4)-7

180-7

173

Answer: only student 2

The solutions to the quadratic function 8x² + 20x = 48 are given as follows:

The quadratic function in the context of this problem is defined as follows:

8x² + 20x = 48.

Hence:

8x² + 20x - 48 = 0.

Dividing all the terms by the leading coefficient of 8, we have that:

8(x² + 2.5x - 6) = 0.

Hence the solutions are obtained as follows:

x² + 2.5x - 6 = 0 -> as 8 is never going to be equals to zero.

(x + 4)(x - 1.5) = 0.

Hence the solutions are:

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The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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Answer:

Step-by-step

Monthly payments on a $200,000 mortgage

At a 4% fixed interest rate, your monthly mortgage payment on a 30-year mortgage might total $954.83 a month, while a 15-year might cost $1,479.38 a month.explanation:

hope this helped

Monthly payments on a $200,000 mortgage

At a 4% fixed interest rate, your monthly mortgage payment on a 30-year mortgage might total $954.83 a month, while a 15-year might cost $1,479.38 a month.

The amount of money which is paid back to the lender at the end of the 15 years is $353,750.

Interest in simple terms is the extra amount that you have to pay if you borrow money or the extra money you get if you lend the money.

Given that,

Principal amount of the mortgage = $200,000

Rate of interest, r = 5.125% = 0.05125

Number of years, t = 15 years

Simple interest = Prt

                         = 200,000 × 0.05125 × 15

                         = 153,750

Total money paid back to lender = Principal amount + Interest amount

                                                       = $200,000 + $153,750

                                                       = $353,750

Hence the money paid back is $353,750.

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Using the normal distribituion, it is found that 2.28% of of scores were less than 40.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the mean and the standard deviation are given by, respectively:

\(\mu = 52, \sigma = 6\).

The proportion of scores that were less than 40​ is the p-value of Z when X = 40, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{40 - 52}{6}\)

\(Z = -2\)

\(Z = -2\) has a p-value of 0.0228.

2.28% of of scores were less than 40.

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Answer: a.

Step-by-step explanation:

If there is a negative mark next to the whole fraction, that means both of the numbers are negative.

I am not sure if this answer is accurate. Please inform me if I am incorrect. TY.

The pair of numbers that solves the system is (15.25, 164.5).

The system of equations, in slope-intercept form, for Farmer Elentire and Farmer Hopt are:

y = 6x + 71 (for Farmer Elentire)

y = 10x + 10 (for Farmer Hopt)

To find the pair of numbers that solves the system, we need to find the point where the two lines intersect.

We can do this by setting the equations equal to each other:

6x + 71 = 10x + 10

Solving for x, we get:

4x = 61

x = 15.25

Now that we know x = 15.25, we can plug this value into either equation to find y.

71 + 6x = 10 + 10x

Subtracting 6x and 10 from both sides, we get:

61 = 4x

Dividing both sides by 4, we get:

x = 15.25

Now we can use either of the original equations to find y. Let's use the first equation:

y = 71 + 6x = 71 + 6(15.25) ≈ 164.5

Using the first equation, we get:

y = 6(15.25) + 71

y = 163.5

Therefore,

The pair of numbers that solves the system is (15.25, 163.5), accurate to the nearest tenth.

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Answer:

Factor 3x2−5x−12

3x2−5x−12

=(3x+4)(x−3)

Answer:

(3x+4)(x−3)

a. Constant speed, C =  0. 19 miles/minutes

b. The fraction representing her constant speed is  1/x miles/minutes

c. The time it takes her to drive exactly 1 mile is 5. 38 minutes

The formula for calculating constant speed is expressed as;

Constant speed = total distance covered/ total time taken

From the information given, we have that;

Now, substitute the values into the formula

Constant speed = 1. 3 / 7

Divide the values

Constant speed = 0. 19 miles/minutes

When distance 1 mile, time taken = x minutes

Constant speed = 1/x miles/minutes

If 1. 3 miles = 7 minutes

Then, 1 mile = x

cross multiply

x = 7/1. 3

x = 5. 38 minutes

Hence, the constant speed is 0. 19 miles/minutes

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