The tama japan monorail carries 92'700 riders each day if the monorail run 18 hours each day what is the average number of passengers riding each hoir

Length of wood needed in inches is 489.44 inches.

Given that;

Area of shadow box = 500 square inches

Find:

Length of wood needed in inches

Computation:

Area of square = Side²

Area of shadow box = Side²

Side² = 500

Side = 22.36 inches (Approx.)

Perimeter of square = length of wood needed in inches

Length of wood needed in inches = 4a

Length of wood needed in inches = 4(22.36)

Length of wood needed in inches = 489.44 inches (Approx.)

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Answer:

x = 2

Step-by-step explanation:

since K is at the midpoint of JL then

JK = KL , that is

7x + 3 = 2x + 13 ( subtract 2x from both sides )

5x + 3 = 13 ( subtract 3 from both sides )

5x = 10 ( divide both sides by 5 )

x = 2

To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:

Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]

where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.

In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.

Now, let's evaluate the function at the right endpoints of the subintervals:

f(2.5) = 1/(2.5)^2 = 0.16

f(3) = 1/(3)^2 = 0.1111

f(3.5) = 1/(3.5)^2 = 0.0816

f(4) = 1/(4)^2 = 0.0625

Substituting these values into the formula:

Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]

Approximate Area = 0.5 * 0.4152

Approximate Area = 0.2076

Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.

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Answer:

meters

the meter is the largest unit of measurement of distance. If the meter is used, the bar chart would be more compact and the all the distances would be well represented on the bar chart

Step-by-step explanation:

Answer:

sorry error bessssssssss

Answer -

Discount -

24.50 x 30/100

24.5 x 0.3 = 7.35 saved

24.5 - 7.35 = 17.15

Discount you saved $7.35 , which brings you price 17.15

tax -

17.15 + 0.34 = 17.49

With taxes you pay 17.49

HOPE THIS HELPS :)

The required area of the figure is 5 square yards.

Area of rectangle is defined as product of the length and width.

Suppose a rectangle and a square has been removed from rectangle.

Length of rectangle = 3  yards

Width of rectangle 2 yards

Length of square = 1 yards

Area of rectangle = 3 × 2 = 6 square yards

Area of square = 1 × 1 = 1 square yards

The required area of the figure = area of rectangle - area of square

Substitute the values

The required area of the figure = 6 - 1

The required area of the figure = 5 square yards

Hence, the required area of the figure is 5 square yards.

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Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on

Step-by-step explanation:

The number of ways you can select n elements from N elements by using factorial (!) when n=2 and N=10 is 45.

Factorial is a crucial mathematical operation that is used to determine the number of possible arrangements or the ordered set of numbers. Daniel Bernoulli is credited with discovering the factorial function's well-known interpolating feature. Numerous mathematical ideas, including probability, permutations and combinations, sequences and series, etc., use the factorial concept. A factorial function, in essence, multiplies a number by each number below it until it equals 1. For instance, the factorial of 3 is equal to 6 and reflects the multiplication of the integers 3, 2, and 1.

Now,

The number of ways you can select n elements from N elements when n=2 and N=10 is \(\frac{N!}{n!(N-n)!}\)

=\(\frac{10!}{2!(8)!}\)

=\(\frac{10 \times 9 \times \times 8!}{8! \times 2 !}\)

=45

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MNOP is a rectangle which means that its opposite sides are equal and parallel to each other. To write the equation for MNOP, we need to use the length and width of the rectangle.

 Let's assume the length of the rectangle MNOP to be L and the width of the rectangle to be W.

 Therefore, the equation for the perimeter of the rectangle will be: P = 2(L+W)

The problem doesn't provide any length or width of the rectangle.

Hence, we can't determine the value of 'x'.

MNOP is a rectangle that has opposite sides equal and parallel to each other. It is common knowledge that a rectangle has two diagonals, and both diagonals bisect each other. That is, the diagonals divide the rectangle into four triangles that are similar to each other. The length of each diagonal of the rectangle is also equal. Let's assume that the diagonal of the rectangle is 'd' and that the width is 'w'. We can use the Pythagorean theorem to find the value of the length of the rectangle.

Hence,  the equation for the diagonal of the rectangle will be:  d² = L² + W²

Where L is the length of the rectangle and W is the width of the rectangle.

We know that opposite sides of a rectangle are equal.

Therefore, we can write: L = W + x

We can substitute the value of L in terms of W and x in the above equation for the diagonal of the rectangle:

d² = (W + x)² + W²

On simplifying, we will get

d² = W² + 2Wx + x² + W²

By combining like terms, we get

d² = 2W² + 2Wx + x²

We also know that the opposite sides of a rectangle are equal, which means that

L + W = d

Therefore, we can write(W + x) + W = d

On simplifying, we get

d = 2W + x

On equating both the above equations, we get:

2W + x = √(2W² + 2Wx + x²)

On simplifying the above equation, we get:

(2W + x)² = 2W² + 2Wx + x²4W² + 4Wx + x²

               = 2W² + 2Wx + x²2W² - 2Wx

               = 0W(2W - 2x)

               = 0W

               = 2x/2W

               = x

Therefore, we can say that the value of x is equal to the value of the width of the rectangle. Hence, the length of the rectangle will be L = W + x = 2x + x = 3x

Therefore, we can say that the equation for the diagonal of the rectangle is d² = 2W² + 2Wx + x², and the value of x is equal to the value of the width of the rectangle. We can also conclude that the length of the rectangle will be

L = W + x = 2x + x = 3x.

However, we can't determine the value of x as the problem doesn't provide any length or width of the rectangle.

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Answer:

-58933.81

Step-by-step explanation:

Where do the parentheses go? So messy

Answer:

i am not sure how to solve that sorry

Step-by-step explanation:

.

Answer:

\((a)\ h(g) = -4 + g\)

g is the input

\((b)\ f(h) =h -7\)

h is the input

\((c)\ g(f) = 2f\)

f is the input

Step-by-step explanation:

Given

See attachment for functions and inputs

Required

Match the function with their inputs

The variables on the left-hand side or the variables inside the function bracket are the inputs of the function. e.g. x is the input of f(x)

Using the above description, we have:

\((a)\ h(g) = -4 + g\)

g is the input

\((b)\ f(h) =h -7\)

h is the input

\((c)\ g(f) = 2f\)

f is the input

Answer:

\(\frac{4080n+1585d-188}{240}\)

Step-by-step explanation:

I simplified it to the best possible state

y has value 2.6

Answer:

y = 2.625

Step-by-step explanation:

If y is inversely proportional to x for positive value:

\(y \propto \dfrac{1}{x}\implies y=\dfrac{k}{x}\quad \textsf{for some constant }k, k > 0\)

\(\begin{aligned}\textsf{when }x=3.5, y=4.2 \implies 4.2 & =\dfrac{k}{3.5}\\k & = 4.2 \cdot 3.5\\k & = 14.7\end{aligned}\)

\(\textsf{Therefore }y=\dfrac{14.7}{x}\)

\(\begin{aligned}\textsf{when }x=5.6\implies y & =\dfrac{14.7}{5.6}\\y & = 2.625\end{aligned}\)

The given utility function U(x, y) = √xy yields the marginal utilities as MUx = √xy/2 and MUy = √xy/2 respectively.

In this question, The utility function is U(x, y) = √xy

The consumer purchases two goods, food and clothing where x denotes the amount of food consumes and y denotes the amount of clothing.

To find out the marginal utility of X (MUx) and the marginal utility of Y (MUy), we will take the first partial derivative of U(x, y) with respect to x and y respectively.

∂U/∂x = y/2(√xy) = (y/2)√x/y = √xy/2 = MUx

The marginal utility of X (MUx) is √xy/2.

∂U/∂y = x/2(√xy) = (x/2)√y/x = √xy/2 = MUy

The marginal utility of Y (MUy) is √xy/2.

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Answer:

(fog)(x) = f(g(x)) = 3(x^2 + 1 ) + 2

Step-by-step explanation:

For this problem, you simply need to understand the notation (fog)(x) is equivalent to f ( g ( x ) ).  This means you simply plug the function g(x) into each x within the function of f(x).  Let's do this:

f(x) = 3x + 2

g(x) = x^2 + 1

f(g(x)) = 3(x^2 + 1 ) + 2

(fog)(x) = f(g(x))

Cheers.

Answer:

He can fill his feeder 12 times

Step-by-step explanation:

Answer:30%

Step-by-step explanation:

GAIN = 156- 120=$ 36

% GAIN = \(\frac{gain}{old cost price } X 100%\\\)

= \(\frac{36}{120} X 100%\)

=30%

Answer:

Step-by-step explanation:

Answer:

n = -13

Step-by-step explanation:

19 + 10n = 7n - 20

Subtract 7n from each side

19 + 10n-7n = 7n-7n - 20

19+3n = -20

Subtract 19 from each side

19+3n -19 = -20-19

3n = -39

Divide each side by 3

3n/3 = -39/3

n = -13

Answer:

The y intercept is 6

Step-by-step explanation:

the "b" in the equation is the y-intercept

Answer:

Step-by-step explanation:

based on what i know is that P(1x,1y) is the the slope of the dilation so P' could equal (2,2) (3,3) (4,4) and so on. k = (1,1)

If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.

The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.

The scale of drawing the horse = 1 inch :

Therefore in scale

Horse height in drawing equals one inch

The  height of the horse = 250 inche

The original height of the horse = 15 inche

The height in the picture = x inches

To find the height the horse in the picture, we have to use proportion

1 inch : 250 inche = x inches : 15 inche

1 / 250 = x / 15

1 × 15= 250x

250x = 15

x = 15/250

x = 0.06 inches

Therefore, the height of the horse in drawing is 0.06 inches

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Answer:

see explanation

Step-by-step explanation:

consecutive even numbers have a difference of 2

let the consecutive even numbers be n and n + 2, thus

(n + 2)² - n² ← expand (n + 2)² using FOIL

= n² + 4n + 4 - n² ← collect like terms

= 4n + 4

= 4(n + 1) ← which results in a multiple of 4

Since triangle PQR is similar to triangle PTS

1) Side PQ is similar to side PT

2) Side QR is similar to side TS

3) side PR is similar to side PS

For data at the interval​ level, we cannot calculate meaningful differences between data entries. The statement is false.

Interval:

The interval of a numerical value generally represents the maximum and minimum value between which the numerical value belongs, it is the amount of time that has passed between the beginning and end of the event which is also known as elapsed time.

The various ways of showing intervals are Inequalities, interval notations, and number lines, the amount of time between two given times is known as the time interval.

Data at the ordinal level can be qualitative or quantitative.  A true statement is​ "For data at the interval​ level, you can calculate meaningful differences between data​ entries."

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Answer:

A) 3, 4, 5

Explanation:

\(c=\sqrt{a^{2} +b^{2} } = \sqrt{3^{2}+ 4^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5\)

The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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Answer:

1. 48a/24a³b²; domain {a ≠ 0 and b ≠ 0}  2. 15b³/24a³b² ; domain {a ≠ 0 and b ≠ 0}

Step-by-step explanation:

1. To have a denominator 24a³b², we multiply 2/a²b² by 24a/24a.

So, 2/a²b² × 24a/24a = 48a/24a³b². For this expression to the valid, the domain is a ≠ 0 and b ≠ 0

2. To have a denominator 24a³b², we multiply 5b/8a³ by 3b²/3b².

So, 5b/8a³ × 3b²/3b². = 15b³/24a³b². For this expression to the valid, the domain is a ≠ 0 and b ≠ 0