A merchant sells goods which cost $240 for $299. What percentage is his profit of the cost price?​

Answer:

4w^2+9w+10

Step-by-step explanation:

(3w^2+7w+10+w^2+2W

Combine like terms

4w^2+7w+10+2w

Combine like terms

Answer:

4w^2+9w+10

Step-by-step explanation:

The number of advance tickets sold is 25 and same day tickets sold is 30.

Data Given;

Let the number of advance ticket be represented by x

Let the number of same-day ticket be represented by y

\(x + y = 60\\ 30x + 25y = 1625\)

From the system of equations above, we can easily pick any to start our calculation.

Using equation (i),

x + y = 60

x = 60 - y ...equation(iii)

Put equation (iii) into equation (ii)

\(30x + 25y = 1625\\ x = 60 - y\\ 30(60 - y) + 25y = 1625\\ 1800 - 30y + 25y = 1625\\ 1800 -5y = 1625\\ 5y = 1800 - 1625\\ 5y = 175\\ 5y/5 = 175/5\\ y = 35\)

Put the value of y into equation (i)

\(x+y = 60\\ x + 35 = 60\\ x = 60 - 35\\ x = 25\)

From the calculation above, the number of advance tickets sold is 25 and same-day tickets is 30.

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Answer:

is your answer. I HOPE YOUR DAY GOES GREAT.

The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

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

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

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The situations that have a net result of zero are:

The first situation results in a debt of $3 and then payment of $3, which cancels out the debt.

The second situation involves combining three atoms with a total charge of zero (2 atoms with a charge of negative 2, and 1 atom with a charge of positive 4).

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Answer:

D. The mean for town A, 30%, is greater than the mean for town B, 25.

Step-by-step explanation:

From the boxplot Given ; the median value which is the value at the point in between the box ;

Th median value of Town A is 30 While the median for town B = 25

Evaluating the statements given, the most appropriate statement for the comparison made is :

The mean for town A, 30%, is greater than the mean for town B, 25 ; this is true because ; 30 > 25

Answer:

2/4

Step-by-step explanation:

2 red, 1 blue, 1 black = 4 pens

Probability is normally done is fractions so the answer will be something out if 4

Since there are 1 blue and 1 black the answer will be 2/4

Answer:

Images has the answers

Step-by-step explanation:

https://www.wolframalpha.com/input/?i=%28X-1%29%2F%282x%5E2%2Bx-3%29

Answer:

D2/3

Step-by-step explanation:

Answer: D2

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/3-5=3/-2

The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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The reference angle for the angle with the measure 2x/3 is 54⁰

You should understand that a reference angle is the acute angle to a given angle.

The given angle is 2x/3

We should understand that since the angle has the variable x

= x + 2x/3 = 90⁰

Simplifying the fraction to have

(3x+2x)/3 = 90

Cross and multiply we have 5x=270⁰

Making x the subject

x= 270/5

x=54⁰

Therefore, the reference angle with the measure 2x/3 is = 54⁰

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Answer:

______ allows data to be transmitted by the computer in ahu-man-of riendly from

A mean is an arithmetic average of a set of observations. The mean height of the five students is 148.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

Given that the mean height of three boys is 150 centimeters. Therefore, the sum of height of the three boys is,

Mean Height of boys = Sum of height of boys / Number of boys

150 = Sum of height of boys/ 3

Sum of height of boys = 150 x 3 = 450

Also, given that the mean height of two girls is 145 centimeters. Therefore, the sum of height of the two girls is,

Mean Height of girl = Sum of height of girls/ Number of girls

145 = Sum of height of girls/ 2

Sum of height of girls = 145 x 2 = 290

Further, the mean height of five students is,

Mean height of five students = Sum of height of students / Number of students

Mean height of five students = (450 + 290)/ 5

Mean height of five students = 740 / 5

                                                = 148

Hence, the mean height of the five students is 148.

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Answer:

(16)2-3(11)+16

32-33+16

-1+16

=15

Answer:

lol

Step-by-step explanation:

im laughing in class

Answer:

-39

Step-by-step explanation:

you do-3 times 13 and you get -39. -39/-3 is 13

A division is a process of splitting a specific amount into equal parts. The quotient of a number and-3 is 13, then the number is -39.

A division is a process of splitting a specific amount into equal parts.

Division has different parts like, divisor, dividend, remainder and Quotient.

The quotient is the answer of division.

The number we obtain when we divide one number by another is the quotient.

Let the number be x.

So x/-3=13

Use cross multiplication

x=-39

Hence  x/-3=13 is the equation and number is -39.

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Answer:

519.99(.0825) = 42.899

519.99 + 42.899 = $562.89

Step-by-step explanation:

The correct statement of the true statement is (A) an invertible matrix is a square matrix with an inverse.

A square matrix is said to be invertible if the identity matrix results from multiplying the matrix by its inverse.

An identity matrix is a matrix with a major diagonal made up entirely of 1s and all other values being 0s.

A square matrix with an inverse is known as an invertible matrix.

If and only if the determinant is not zero, we can say that a square matrix is invertible.

To put it another way, a 2 x 2 matrix can only be inverted if it has a determinant other than 0.

A non-square matrix (an m-by-n matrix where m n) lacks an inverse.

Therefore, the correct statement of the true statement is (A) an invertible matrix is a square matrix with an inverse.

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Complete question:
Which of the following is/are true? (select all that apply)

a. Invertible matrices are square.

b. If B and C are inverses of a matrix A, then B=C.

c. if A and B are invertible nxn matrices, that AB⊤ is invertible.

d. Every square matrix is invertible.

e. Elementary matrices are invertible.

Answer:

I don’t even know

Step-by-step explanation:

Answer:

Step-by-step explanation:

inorder to solve the area of the shaded area;°/360ñRsquared

arc length you use ;°/360ñD

Answer:

5/8

Step-by-step explanation:

5/8 which is in simplest form

Answer:

5/8

Step-by-step explanation:

3/8+1/4 = 3/8+2/8 = 5/8

The numerical value of x in angle ABD is 9 as angle ABC is divided into two equal halves.

An angle bisector divided an angle into two equal halves.

From the diagram:

Line BD divides angle ABC into two equal halves.

Angle ABD = ( 3x - 7 ) degrees

Angle DBC = 20 degrees

Since angle ABD and DBC are equal haves;

Angle ABD = Angle DBC

Plug in the values:

( 3x - 7 ) = 20

Solve for x:

3x - 7 = 20

Add 7 to both sides:

3x - 7 + 7 = 20 + 7

3x = 27

x = 27/3

x = 9

Therefore, the value of x is 9.

Option A)9 is the correct answer.

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The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

D. 2(x - 1)(x – 3)

Step-by-step explanation:

4(x2 – 2x) – 2(x2 – 3)

We would first of all expand the expression given

This becomes

= 4x2 - 8x - 2x2 + 6

Rearrange to enable us simplify

4x2 - 2x2 - 8x + 6

= 2x2 - 8x + 6

Factorize

2 (x2 - 4x + 3)

factorizing further using the factors of 3 that add up to -4

2(x2 - x - 3x + 3)

pick out the common factors

2(x(x-1) -3(x-1)

2(x-1)(x-3)

Option D. 2(x - 1)(x – 3) is right

Using the Factor Theorem, the factored form equivalent to this expression is:

\(2(x - 1)(x - 3)\), given by option D.

The Factor Theorem states that a polynomial function with roots \(x_1, x_2, \codts, x_n\) is given by:

\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)

In this problem, the expression is:

\(4(x^2 - 2x) - 2(x^2 - 3) = 0\)

\(4x^2 - 8x - 2x^2 + 6 = 0\)

\(2x^2 - 8x + 6 = 0\)

Which is a quadratic equation with coefficients \(a = 2, b = -8, c = 6\).

Hence:

\(\Delta = b^2 - 4ac = (-8)^2 - 4(2)(6) = 16\)

\(x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + 4}{4} = 3\)

\(x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - 4}{4} = 1\)

Hence, the expression is:

\(2(x - 1)(x - 3)\), given by option D.

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The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:

Compound Interest =P(1+r/n)^rt

Substituting the given values, we get:

Compound Interest =600 (1+7/n)^4

Simplifying this equation, we get

P = 600 / 1.487

P = 451.73

Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.

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Answer:

y= 1/2 (2)x

Step-by-step explanation:

:D I hope this is right! sorry if its not ; )

Answer:

It will take

100 songs for the monthly price of Napster to cost the same as iTunes.

9514 1404 393

Answer:

  384 cm²

Step-by-step explanation:

It is always a good idea to take a look at what you have and what you are being asked before you go launching into formulas. Then you can pick the formula(s) appropriate to your needs.

__

Your pyramid has a square base, so four (4) triangular faces. The area being asked for is the total of the areas of the square base and those triangular faces.

The formula for the area of a square is ...

  A = s² . . . . . where s represents the side length

Here, the side of the square is 12 cm, so the area of the square base will be ...

  A = (12 cm)² = 144 cm²

__

The formula for the area of a triangle is ...

  A = 1/2bh . . . . . where b is the base length and h is the altitude

In this problem, you're not given the altitude of the triangular face (also called the "slant height" of the triangle). Instead, you're given the height of the pyramid. So, you have to determine the slant height.

Consider the cross section you get when you cut the pyramid with a vertical plane through the peak and the middle of opposite sides. It will be an isosceles triangle with a base equal to the side length of the pyramid, and side lengths equal to the slant height of the pyramid face. See the attachment for an idea of what this looks like.

In order to determine the length of the side of that cross-section triangle, draw its altitude. That is the 8 cm height of the pyramid. Then use the Pythagorean theorem to find the hypotenuse of the right triangle with legs 6 cm and 8 cm:

  slant height = √(8² +6²) = √100 = 10 . . . . cm

Now, we can find the area of one of the four triangular faces:

  A = (1/2)(12 cm)(10 cm) = 60 cm²

__

The surface area of the pyramid is then ...

  surface area = base area + 4 × triangular face area

  surface area = 144 cm² + 4 × 60 cm² = (144 +240) cm²

  surface area = 384 cm²