last year the Danville times had a total of 9540 subscribers this year after the paper was bought out it had 15,264 subscribers what is the percent of increase in the number of subscribers

Answer:

108

Step-by-step explanation:

18×6=108

that how you get you answer

The intervals of concavity: (a) (-∞, 0) and (0, 2); (b) (-∞, -2) and (-2, ∞); (c) (-∞, -4) and (-4, 2).

(a) The second derivative of f(x) is f''(x) = 2, which is positive for all x in the interval (0,2). Therefore, f(x) is concave up on the interval (0,2).

(b) The second derivative of f(x) is f''(x) = 6x - 6, which is positive for x > 1 and negative for x < 1. Therefore, f(x) is concave up on the interval (1, ∞) and concave down on the interval (-∞, 1).

(c) The second derivative of f(x) is f''(x) = 2x + 2, which is positive for x > -1 and negative for x < -1. Therefore, f(x) is concave up on the interval (-∞, -1) and concave down on the interval (-1, ∞).

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The number of dollar each sibling pays is,

⇒ 20 dollars

We have to given that,

Five siblings buy a hundred dollar gift certificate for their parents and divide the cost equally.

Since, Total amount = 100 dollars

And, Number of siblings = 5

Hence, the number of dollar each sibling pays is,

⇒ 100 dollars / 5

⇒ 20 dollars

Therefore, The number of dollar each sibling pays is, 20 dollars

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Answer: C

Step-by-step explanation: I just took the exam

Answer:

y = 9.5 or 19/2

Step-by-step explanation:

4y - 18 = 20

Add 18 to both sides.

4y = 38

Divide by 4.

y = 9.5 or 19/2

Answer:

34

Step-by-step explanation:

4y-18=20

+18 +18

________

4y=38

/4

________

9.5

Answer:

11

Step-by-step explanation:

4x - y = 13 >>>> y = 4x - 13

2x + y = 17 >>>> y = -2x + 17

so

4x - 13 = -2x + 17

4x + 2x = 17 + 13

6x = 30

x = 5

y = 4x - 13 = 4(5) - 13 = 7

then

3y - 2x = 3(7) - 2(5) = 21 - 10 = 11

Answer:

y = 1.50x+4

if x = 2

y = 7

if x = 3

y = 8.5

if x = 5

y = 11.5

Step-by-step explanation:

every mile(x) add 1.50 dollars to 4 dollars

Step-by-step explanation:

we have 11k + 4k.

this is like saying "I have 11 apples and then get 4 more apples - how many apples do I have ?"

in other words, how many "k" do I have ?

11 + 4 = 15.

we have 15k.

and then there is -3 + 8 = 5

so, the answer is

15k + 5

Answer:

15k + 5

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

The expression is,

→ 11k - 3 + 4k + 8

Let's simplify the expression,

→ 11k - 3 + 4k + 8

→ 11k + 4k - 3 + 8

→ (11k + 4k) + (-3 + 8)

→ (15k) + (5)

→ 15k + 5

Hence, the answer is 15k + 5.

The value of cos A in the triangle is 1 / 9.

The triangle is given as ABC. The side lengths are a, b and c. Therefore, cos A of the triangle can be found using cosine rule as follows:

a² = b² + c² - 2bc cos A

a = 4

b = 3

c = 3

Therefore,

4² = 3² + 3² - 2(3)(3) cos A

16  = 9 + 9 - 18 cos A

16 - 18 = - 18 cos A

-2 = - 18 cos A

divide both sides by - 18

cos A = - 2 / - 18

cos A = 1 / 9

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Answer:

-17.25

Step-by-step explanation:

So first you add -8.3 and -7.7, from there you get -16.

-1 1/4 would be -1.25 as a decimal. So all you do is add -16 and -1.25 and you get -17.25 as your answer

The average temperature, in degrees Fahrenheit, at the North Pole in January is -17.25

We have got an equation that can relate these three units of measurement of temperature, as given below:

\(\dfrac{C}{5} = \dfrac{F - 32}{9} = \dfrac{K - 273}{5}\)

where C represents the measurement of a fixed temperature in celsius, F represents the measurement of that same intensity temperature in fahrenheit, and K represents the measurement of equally intense temperature in kelvin.

We are given that the average temperature at the North Pole is -8.3 degrees Fahrenheit.

In December, the average temperature at the North Pole = 7.7 degrees Fahrenheit colder than November's average temperature.

In January, the average temperature at the North Pole = 1 1/4 times colder than December's average temperature.

So first we need to add -8.3 and -7.7

-8.3 + -7.7=  -16.

-1 1/4 = -1.25

Now,  add -16 and -1.25

-16 +  -1.25 =  -17.25

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Answer:

a) (4,-1)

b) (4,1)

c). (6,4)

Answer:

$598

Step-by-step explanation:

2 x 299 = 598 so Apple is charging $598 for the new phone.

Answer:

11 and 13

because prime number is the number which can be factorised by 1 or itself

Answer:

B. 11 and D. 13 because they are odd primes

Answer:

18

Step-by-step explanation:

g(x) = x^2

g(3) = 3^2 =9

g(-3) = (-3)^2 = 9

g(3) + g(-3) = 9+9 =18

Answer:

18

Step-by-step explanation:

g ( x) = x²

g ( 3 ) = ( 3 )² = 9

g ( -3 ) = ( - 3 )²

g ( - 3 ) = 9

g( 3 ) + g ( -3 ) = 9 + 9 = 18

Answer:

The correct options are;

1) Write tan(x + y) as sin(x + y) over cos(x + y)

2) Use the sum identity for sine to rewrite the numerator

3) Use the sum identity for cosine to rewrite the denominator

4) Divide both the numerator and denominator by cos(x)·cos(y)

5) Simplify fractions by dividing out common factors or using the tangent quotient identity

Step-by-step explanation:

Given that the required identity is Tangent (x + y) = (tangent (x) + tangent (y))/(1 - tangent(x) × tangent (y)), we have;

tan(x + y) = sin(x + y)/(cos(x + y))

sin(x + y)/(cos(x + y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y))

(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y))

(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y)) = (tan(x) + tan(y))(1 - tan(x)·tan(y)

∴ tan(x + y) = (tan(x) + tan(y))(1 - tan(x)·tan(y)

Answer:

All of them

Step-by-step explanation:

Edge 2020/2021

Answer:

7 and 1/3 miles

Step-by-step explanation:

Answer:

15 units

Step-by-step explanation:

By using the Pythagoras Theorem,

C^2 = A^2 + B^2

Substitute in the given values,

25^2 = a^2 + 20^2

625 = a^2 + 400

625 - 400 = a^2 + 400 - 400

a^2 = 225

\(a = \sqrt{225} \)

= 15

Hope this too helped! ^^

I'd recommend watching a video or two on the topic of Pythagoras Theorem, if this explanation isn't clear enough.

The total amount Janeen will pay on March 9, 2023, rounded to the nearest cent is $21,685.67

To calculate the interest on the loan, we need to determine the interest amount for the period from April 5, 2022, to March 9, 2023, using ordinary interest.

First, let's calculate the number of days between the two dates:

April 5, 2022, to March 9, 2023:

- April: 30 days

- May: 31 days

- June: 30 days

- July: 31 days

- August: 31 days

- September: 30 days

- October: 31 days

- November: 30 days

- December: 31 days

- January: 31 days

- February: 28 days (assuming non-leap year)

- March (up to the 9th): 9 days

Total days = 30 + 31 + 30 + 31 + 31 + 30 + 31 + 30 + 31 + 31 + 28 + 9 = 353 days

Next, let's calculate the interest amount using the ordinary interest formula:

Interest = Principal × Rate × Time

Principal = $20,000

Rate = 8.5% or 0.085 (decimal form)

Time = 353 days

Interest = $20,000 × 0.085 × (353/365)

= $1,685.674

Now, let's calculate the total amount Janeen will pay on March 9, 2023:

Total amount = Principal + Interest

Total amount = $20,000 + $1,685.674

= $21,685.674

= $21,685.67

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To begin with, let's recall the definition of a one-to-one function. A function f: A → B is one-to-one if every element in A is mapped to a unique element in B. In other words, no two distinct elements in A are mapped to the same element in B.
Now, let's assume that f is one-to-one and even. This means that f(-x) = f(x) for all x in R. To prove that f cannot be both one-to-one and even, we will use a proof by contradiction. Suppose f is both one-to-one and even. Then, for any x and y in R, if f(x) = f(y), we must have x = y. Now, let's consider the case when x and y are negative numbers such that x ≠ y. Since f is even, we have f(-x) = f(x) and f(-y) = f(y). However, since f is one-to-one, we cannot have f(-x) = f(-y) because x and y are distinct.Therefore, f cannot be both one-to-one and even. Alternatively, we could use the contrapositive of the statement. The contrapositive of "f one-to-one => f not even" is "f even => f not one-to-one". This means that if f is even, then it cannot be one-to-one. This is true because, as we showed earlier, if f is even, there exist distinct negative numbers that are mapped to the same value, which violates the one-to-one property. In conclusion, we have shown that if a function f is one-to-one, then it cannot be even, using either a proof by contradiction or the contrapositive of the statement.

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The correct option is C. x² + (x – 2)² = 100.

The equation which depicts x, the side length of the greater square is  x² + (x – 2)² = 100.

In geometry, a square is a plane figure with 4 equal sides as well as 4 right (90°) angles. A square is a subset of a rectangle (an equilateral rectangle) and a subset of a parallelogram (an equilateral & equiangular one).

Now, as per the question;

This is given by relation shown by expression;

x² + (x-2)² = 100

Therefore, the equation which represents x, the side length of the greater square is x² + (x-2)² = 100.

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The complete question is-

A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other.

Which equation represents x, the side length of the greater square?

A. x² + (x – 2)² = 10

B. x² + 2x² = 10

C. x² + (x – 2)² = 100

D. x² + 2x² = 100

The value of such that the matrix is the augmented matrix of a linear system with The system has an infinite number of solutions if $k=-1$.

To find out the value of $k$ that results in the matrix being the augmented matrix of a linear system with infinitely many solutions, you need to reduce the matrix to row echelon form and check the conditions. If you get a row of all zeroes but the last entry in that row is not zero, then there is no solution. If you get a row of all zeroes including the last entry in that row, then there are infinitely many solutions. Therefore, the value of $k$ that leads to the augmented matrix of a linear system with infinitely many solutions is $k=-1$.

A system of linear equations has an infinite number of solutions if and only if its augmented matrix, after being transformed to row-echelon form, has at least one free variable column.

The matrix in question is given as:

\($$\begin{bmatrix}2 & -2 & 4 \\ -3 & 3 & -6 \\ 1 & -1 & k\end{bmatrix}$$\)

To find the value of $k$, we need to convert it to a row-echelon form.

\($$ \begin{bmatrix}2 & -2 & 4 \\ -3 & 3 & -6 \\ 1 & -1 & k\end{bmatrix} \overset{R2\rightarrow R2+\frac{3}{2}R1}{\longrightarrow} \begin{bmatrix}2 & -2 & 4 \\ 0 & 0 & 0 \\ 1 & -1 & k\end{bmatrix} $$\)

Notice that the second row of the matrix is all zeros, so the system either has no solution or has an infinite number of solutions. Therefore, we need to determine the value of $k$ to figure out which of the two cases apply. Since the third row is independent, we can choose to work with it only.

\($$1a - 1b = c \rightarrow c = a - b$$\)

We can also write it as a linear combination of $a$ and $b$:

\($$\begin{aligned} c &= a - b \\ &= a(1) + b(-1) \end{aligned}$$\)

Therefore, it follows that if $k$ equals -1, we can rewrite the last row as a linear combination of the first two rows.

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Answer:

  42, 38, 34, 30

Step-by-step explanation:

You want the first 4 terms of the sequence described by ...

  an = 42 -4(n -1), n ∈ ℕ

You can write the first 4 terms of the sequence by evaluating the 'an' expression for n = 1, 2, 3, 4.

Or, you can recognize the expression describes a sequence with a first term of 42 and a common difference of -4. That is, each term is 4 less than the one before.

The terms you want are ...

  42, 38, 34, 30

__

Additional comment

The equation for the n-th term of an arithmetic sequence is ...

  an = a1 +d(n -1)

where a1 is the first term, and d is the common difference. Comparing this to the given equation, we see a1 = 42, d = -4.

<95141404393>

Answer:

Step-by-step explanation: To find the largest possible value of n, we divide the total length of the wire 200 m by the length of each piece 3 m and round it to the nearest whole number.

200 meters / 3 meters ≈ 66.67

Rounding down to the nearest whole number, the largest value of n is 66.

Therefore, the largest possible value of n is 66.

One solution for the equation \(\frac{1}{2} (6x - 2) = 2\) is x = 1

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.

According to the given information

The equation given to us is

\(\frac{1}{2} (6x - 2) = 2\)

Solving the above equation

We get

3x - 1 = 2

3x = 2 + 1

3x = 3

x = 1

We have only

One solution for the equation \(\frac{1}{2} (6x - 2) = 2\) is x = 1

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The system can be written as a vector equation as [5, 1, -3] [x1, x2, x3]^T = [8, 0]^T and as a matrix equation as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

To write the given system as a vector equation, we group the variables and the constants into vectors and write the equations in a matrix form. Thus, the system can be written as [5x1 + x2 - 3x3; 2x2 + 4x3] = [8; 0], which is a vector equation.

To write the system as a matrix equation, we can write the coefficients of the variables in a matrix A, the variables in a vector X, and the constants in a vector B. Thus, the system can be written as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

We can then solve for X by finding the inverse of A and multiplying both sides of the equation by it.

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Answer:

\(\displaystyle x/y=\frac{15}{4}\)

Step-by-step explanation:

Division of fractions

To calculate the division of fractions a/b and c/d, it's usually easier to multiply a/b by the reciprocal of the denominator, that is:

\(\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot \frac{d}{c}\)

We will evaluate x/y when x=9/4 and y=3/5:

\(\displaystyle \frac{\frac{9}{4}}{\frac{3}{5}}=\frac{9}{4}\cdot \frac{5}{3}\)

\(\displaystyle=\frac{45}{12}\)

Simplifying:

\(\displaystyle \boxed{x/y=\frac{15}{4}}\)

Rounding this answer to two decimal places, the area under the standard normal curve between 0.25 and 1.25 is approximately 0.39.

To find the area under the standard normal curve between 0.25 and 1.25, we can use a standard normal distribution table or a calculator with a built-in normal distribution function.

Using a calculator, we can use the cumulative distribution function (CDF) of the standard normal distribution to find the area under the curve. Here's how you can calculate it:

1. Open your calculator or a statistical software.

2. Access the normal distribution function or the cumulative distribution function (CDF).

3. Enter the lower bound of 0.25.

4. Enter the upper bound of 1.25.

5. Specify the mean as 0 (for the standard normal distribution).

6. Specify the standard deviation as 1 (for the standard normal distribution).

7. Calculate or evaluate the CDF between 0.25 and 1.25.

Using this method, the area under the standard normal curve between 0.25 and 1.25 is approximately 0.3944 (rounded to four decimal places).

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Answer:

3.606

Step-by-step explanation:

ur solving for x

:)

We can set up a system of equations to determine the quantities of two paints with different green dye concentrations that need to be mixed to create a desired 50-gallon paint mixture with a specific green dye concentration. To make a 50-gallon paint mixture with a green dye concentration of 22%, you would need 35 gallons of paint containing 25% green dye and 15 gallons of paint containing 15% green dye.

By solving this system, we can find the number of gallons of each paint needed to achieve the desired green dye concentration.

Let's assume the number of gallons of paint containing 25% green dye is represented by x, and the number of gallons of paint containing 15% green dye is represented by y.

Given that we want to create a 50-gallon mixture of paint with a green dye concentration of 22%, we can set up the following system of equations:

Equation 1: x + y = 50 (total volume of paint)

Equation 2: (0.25x + 0.15y) / 50 = 0.22 (desired green dye concentration)

In Equation 2, we calculate the overall green dye concentration by dividing the sum of the green dye amounts from each paint by the total volume of paint.

To solve the system of equations, we can use substitution or elimination methods. Here, we will use the substitution method.

From Equation 1, we can express x in terms of y:

x = 50 - y

Substituting this value of x into Equation 2:

(0.25(50 - y) + 0.15y) / 50 = 0.22

Simplifying the equation:

(12.5 - 0.25y + 0.15y) / 50 = 0.22

12.5 - 0.25y + 0.15y = 11

Combining like terms:

-0.1y = -1.5

Dividing by -0.1:

y = 15

Substituting the value of y back into Equation 1:

x + 15 = 50

x = 35

Therefore, to make a 50-gallon paint mixture with a green dye concentration of 22%, you would need 35 gallons of paint containing 25% green dye and 15 gallons of paint containing 15% green dye.

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