For each of the days above, work out how much money would be made by each court if all seats were sold.

Seats:

Centre court has 14 979 seats for sale. No 1 court has 11 429 seats for sale. No 2 court has 4000 seats for sale. No 3 court has 2000 seats for sale.

Prices:

Centre Court: £56 No 1 Court: £45 No 2 Court: £41 No 3 Court: £41 Grounds Admission: £25

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

The weights of newborn infants at a certain hospital are considered continuous variables. Continuous variables can take on any value within a certain range.

In the case of newborn infant weights, the weight can be measured with precision to any decimal point, allowing for a continuous scale of measurement.

Unlike discrete variables, which have specific distinct values, such as whole numbers, the weight of newborn infants can vary continuously. Infants can have weights such as 2.567 pounds, 5.342 pounds, or any value in between.

Therefore, the weights of newborn infants at a certain hospital are classified as continuous variables due to their ability to vary continuously within a given range.

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The execution of the code segment will result in statement2 being executed. The code segment contains a conditional statement that uses the logical OR operator (||) to combine two conditions.

The first condition checks whether the result of dividing num1 by num2 is less than 0, while the second condition checks whether the product of num1 and num2 is greater than 0.

Given that num1 is 0 and num2 is 10, the first condition will evaluate to false, because 0 divided by any positive number is 0. However, the second condition will evaluate to true, because the product of two non-zero numbers with the same sign is always positive.

Since the logical OR operator requires only one of the conditions to be true for the entire statement to be true, the overall result will be true. As a result, statement1 will not be executed, and statement2 will be executed instead.

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Answer:

Step-by-step explanation:

23.) 0.29

24.) 0.32

25.) 0.04

26.) 0.73

27.) 0.65

28.) 0.88

(Excuse me, but what grade are you in?)

Answer:

23. 0.29 Dollars

24. 0.32 Dollars

25. 0.04 Dollars

26. 0.73 Dollars

27. 0.65 Dollars

28. 0.88 Dollars

Step-by-step explanation:

Fundamental Method ==>

\(1 \times \frac{percentge}{100} \)

By Z.Khan

a) The median would be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean.

b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers.

a) The median is expected to be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean. The mean is calculated by adding all the values together and dividing by the number of values, and if there are any values that are much lower or higher than the rest, this will affect the mean significantly. The median, however, is the midpoint of the values, so outliers have less of an influence on it.

b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers. The median is the midpoint of the values, which means that if there are any values that are much lower or higher than the rest, it will not affect the median as much as it does the mean. This makes the median more accurate in representing the life expectancy of countries, as it is not skewed by outliers. Furthermore, the median is generally more reliable when dealing with skewed distributions, which is often the case with life expectancy data.

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The equation for red graph is y= f(x-1)

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given:

y = f(x)

Here if look at the graph with black with function f(x) = x

Now, if we look at the graph closely to shift the black graph to red.

There is shifting the graph in the right hand side which which gives the function y= f(x-1)

Hence, the equation for red graph is y= f(x-1)

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Answer:

this graph has an x-intercept values of -1 and 2

The speed is 3.6 meters per second.

Given that Laura ran 1 km in 4 minutes and 37 seconds.

We know that, 1 km =1000 meters

1 minute =60 seconds

So, 4 minutes and 37 seconds

We know that one minute is equal to sixty seconds

So let us convert four minutes to seconds by multiplying four with sixty seconds

= 4×60 +37

When four is multiplied with sixty we get two hundred forty

= 240+37

= 277 seconds

4 minutes and 37 seconds is equal to two hundred seventy seven seconds.

Now, the formula for speed is distance by time

Speed = Distance/Time

Distance =1000 and time is 277

= 1000/277

= 3.6 meters per second

Therefore, the speed is 3.6 meters per second.

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Laura ran 1 km in 4 minutes and 37 seconds. What was her speed in metres per second (m/s)? If your answer is a decimal, give it to 1 d.p.​

a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
  Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
  Present value of $400 per year for 7 years at 0% (annuity due): $2,800

To find the present values of the ordinary annuities, we can use the formula for the present value of an annuity:

PV = PMT * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present value
PMT = Payment per period
r = Interest rate per period
n = Number of periods

a. $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14]

≈ $2,702.83

b. $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07]

≈ $1,155.54

c. $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value is simply the total amount of payments over the 7 years:
PV = $400 * 7

= $2,800

d. Reworking previous parts assuming they are annuities due:
For annuities due, we need to adjust the formula by multiplying it by (1 + r):

a. Present value of $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14] * (1 + 0.14)

≈ $2,943.07

b. Present value of $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07] * (1 + 0.07)

≈ $1,233.24

c. Present value of $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value remains the same:
PV = $400 * 7

= $2,800

In conclusion:
a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
  Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
  Present value of $400 per year for 7 years at 0% (annuity due): $2,800

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Answer:

21.8901 g

Step-by-step explanation:

Given that:

1 gram of pure salt contains 0.393 g of sodium

1 gram = 0.393g

Gram of sodium in 55.7g of pure salt will be x

1g = 0.393g

55.7g = x

Cross multiply:

x = 55.7 * 0.393

x = 21.8901

55.7 g of pure salt will contain about 21.8901 g of sodium chloride

Based on the general properties of the MAD and the characteristics of the data sets, these matches seem reasonable.

Here, we have,

We can make some general observations to match the data sets to the appropriate MAD value without actually calculating them:

The MAD measures the average distance between each data point and the median of the data set.

Therefore, the larger the MAD value, the more spread out the data set is.

Data set 1 will have the smallest MAD value, since it is the most tightly clustered around the median.

Data set 3 will have the largest MAD value, since it is the most spread out around the median.

Data set 2 will have a MAD value between those of data sets 1 and 3.

Based on these observations, we can match the data sets to the appropriate MAD value as follows:

Data set 1 has the smallest MAD value (7).

Data set 2 has a medium MAD value (9).

Data set 3 has the largest MAD value (11).

Of course, without actually calculating the MAD values, we can't say for certain whether these matches are correct.

Therefore, based on the general properties of the MAD and the characteristics of the data sets, these matches seem reasonable.

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complete question:

The three data sets have MAD value of 7,9 and 11. Match the data sets to the apporopriate MAD value with out actuly making a calculation.

Subtract checkpoint 1 to check point 4

706 - (-53) = 706 + 53 = 759 ft

Answer:

84 ft ^3

Step-by-step explanation:

volume = 1/3 * base area * height

volume = 1/3 * (6*7) * 6

volume = 1/3 * (42) * 6

volume = 14 * 6

volume = 84

The point on the parabola y = 7 - x that is closest to the point (7, 7) is (3, 4).

To find the point on the parabola y = 7 - x' that is closest to the point (7,7), we need to find the point on the parabola that has the shortest distance to (7,7).

The distance between two points (x1, y1) and (x2, y2) is given by the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, we want to minimize the distance between (7,7) and a point on the parabola, so we set up the distance formula using the variable x' for the x-coordinate of the point on the parabola:

d = sqrt((x' - 7)^2 + (7 - (7 - x'^2))^2)

Simplifying the expression inside the square root, we get:

d = sqrt((x' - 7)^2 + x'^2)

To minimize this expression, we take its derivative with respect to x' and set it equal to zero:

d/dx'(sqrt((x' - 7)^2 + x'^2)) = (x' - 7)/sqrt((x' - 7)^2 + x'^2) + x'/sqrt((x' - 7)^2 + x'^2) = 0

Multiplying both sides by the denominator, we get:

x' - 7 + x' = 0

2x' - 7 = 0

x' = 7/2

So the point on the parabola closest to (7,7) is when x' = 7/2. Plugging this value into the equation for the parabola, we get:

y = 7 - (7/2)^2 = 21/4

Therefore, the point on the parabola y = 7 - x' that is closest to the point (7,7) is (7/2, 21/4).

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Answer:

a=672

b=3,000

c=1,071

d=33

Answer:49=yes, 28=no, -35=no, and -42=no

Step-by-step explanation:

I put it in a calculator

Answer:

24 inches is the perimeter.

Step-by-step explanation:

Since the envelope is a rectangle

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

Area of a rectangle = length × width

From the question

l = 4 inches

w = 8 inches

For the perimeter

P = 2(4) + 2(8)

= 8 + 16

We have the final answer as

For the area

A = 4 × 8

We have the final answer as

Hope this helps you

Answer:

Definition: The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Example: From the graph, describe the x and y-intercepts using point notation. The graph crosses the x-axis at x = 1 and x = 3, therefore, we can write the x-intercepts as points (1,0) and (–3, 0). Similarly, the graph crosses the y-axis at y = 3. Its y-intercept can be written as the point (0,3).

60 milliliters is equal to 4 tablespoons.

A milliliter (mL) and a tablespoon are both units of measurement for volume. A tablespoon is a unit commonly used in cooking and baking recipes, while a milliliter is a metric unit of measurement.

To find out how many milliliters are in a certain number of tablespoons, we can use the formula:

milliliters = tablespoons x 15

For example, if we want to know how many milliliters are in 3 tablespoons, we can plug in the numbers and get:

milliliters = 3 x 15 = 45 milliliters

So, 3 tablespoons is equal to 45 milliliters.

Similarly, if you want to know how many tablespoons are in a certain number of milliliters, you can use the formula:

tablespoons = milliliters / 15

For example, if we want to know how many tablespoons are in 60 milliliters, we can plug in the numbers and get:

tablespoons = 60 / 15 = 4 tablespoons

It is important to note that, measurements may vary depending on country and context. However, generally 1 tablespoon equals to 15ml is considered as a standard. And it can be used multiple times in converting tablespoons to milliliters or vise versa.

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The general solution to the given system of linear differential equations is:

X(t) = c₁\(e^{-t}\)[a₁, a₂, a₃]ᵀ + c₂\(e^t\)[1, -1, 0]ᵀ + c₃\(e^{2t}\)[2, 1, -1]ᵀ. Here, c₁, c₂, and c₃ are constants determined by the initial conditions, and [a₁, a₂, a₃]ᵀ is the given eigenvector.

To find the general solution to the given system of linear differential equations, let's start by rewriting the system in matrix form:

X' = AX + B

where X = [x₁, x₂, x₃]ᵀ, X' is the derivative of X with respect to t, and A and B are matrices defined as follows:

A = [[-1, 2, 4],

[-1, 0, 1],

[2, 1, 1]]

B = [2, 0, 0]ᵀ

To find the general solution, we need to compute the eigenvalues and eigenvectors of matrix A. You mentioned that one eigenvector is provided, so let's denote it as v₁.

Eigenvalues (λ₁, λ₂, λ₃) and eigenvectors (v₁, v₂, v₃) of matrix A are:

λ₁ = -1 (provided)

v₁ = [a₁, a₂, a₃]ᵀ

To find the remaining eigenvalues and eigenvectors, we can solve the characteristic equation:

|A - λI| = 0

where I is the identity matrix.

Let's solve for the remaining eigenvalues (λ₂, λ₃) and eigenvectors (v₂, v₃).

Using the eigenvalue λ = -1 and eigenvector v₁, we have:

(A + I)v₁ = 0

Substituting the values of A and λ, we get:

[0, 2, 4]ᵀa = 0

Solving this system of equations, we find that the eigenvector v₁ is:

v₁ = [1, -2, 1]ᵀ

Now, let's find the remaining eigenvalues and eigenvectors by solving the characteristic equation:

|A - λI| = 0

Substituting the values of A and λ, we get:

|[-1, 2, 4],

[-1, 1, 1],

[2, 1, 2] - λ[I]| = 0

Expanding the determinant and solving, we find the remaining eigenvalues:

λ₂ = 1

λ₃ = 2

To find the corresponding eigenvectors, we solve the equations:

(A - λ₂I)v₂ = 0

(A - λ₃I)v₃ = 0

Solving these systems of equations, we find the eigenvectors:

v₂ = [1, -1, 0]ᵀ

v₃ = [2, 1, -1]ᵀ

Now that we have the eigenvalues and eigenvectors, we can write the general solution:

X(t) = c₁\(e^{\lambda_1t}\)v₁ + c₂\(e^{\lambda_2t}\)v₂ + c₃\(e^{\lambda_3t}\)v₃

where c₁, c₂, and c₃ are constants determined by the initial conditions.

By substituting the values of the eigenvalues and eigenvectors, we obtain the final general solution for X(t):

X(t) = c₁\(e^{-t}\)[a₁, a₂, a₃]ᵀ + c₂\(e^t\)[1, -1, 0]ᵀ + c₃\(e^{2t}\)[2, 1, -1]ᵀ

The complete question is:

Find the general solution to the system of linear differential equations. The independent variable is t. All of the eigenvalues and one of the eigenvectors are provided for you.

2x₁ + 2x₂ + 4x₃ = 2-x₁'

- x₁ + x₂' = 2x₂ + x₃

x₃' = 2x₁ + x₂ + x₃

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The correct significant figure of 0.0879/0.98 is 0.08989796. (rounded to six significant figures)

The meaningful digits in a measured or computed number are known as significant figures. They are used to convey the degree of uncertainty in a value and represent the accuracy of the measurement. You must first establish the number of significant figures in each value being utilized before you can execute a computation with significant figures. When doing the computation, use the same number of decimal places as the value with the fewest significant figures. The final step is to round the result to the appropriate number of significant digits.

According to the question

Both numbers in the calculation 0.0879/0.98 have four significant digits. The result, after performing the calculation, is 0.08989796. We look at the final digit (7) in the response to determine the right amount of significant digits to round to. The preceding digit (9) is rounded up if the digit is 5 or above. In this instance, the solution, rounded to six significant numbers, is 0.0899.

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Answer:

C

Step-by-step explanation:

Answer:

c is right answer... I am sure

A dice has 6 sides. Therefore, when you roll a dice the probability of getting 1,2,3,5, or 6 is

Answer:

B

Step-by-step explanation:

We want to find RX.

Note that RX is adjacent to ∠X and we also know the side opposite to ∠X.

Thus, we can use the tangent ratio. Recall that:

\(\displaystyle \tan\theta = \frac{\text{opposite}}{\text{adjacent}}\)

Substitute:

\(\displaystyle \tan6^\circ = \frac{8}{RX}\)

Take the reciprocal of both sides:

\(\displaystyle \frac{1}{\tan6^\circ}= \frac{RX}{8}\)

Multiply both sides by 8:

\(\displaystyle RX = \frac{8}{\tan6^\circ}\)

Use a calculator (make sure you're in Degrees mode!):

\(\displaystyle RX\approx 76.1149\)

Hence, our answer is B.

Generate equispaced points and corresponding vectors in the unit ball, then scale them to the desired radius.

To generate equispaced points, we can divide the range into equal intervals and place the points at the midpoints of these intervals.

For example, if we want to generate 500 equispaced points between 0 and 1, we divide the range into 500 equal intervals of length 1/500.

The points will be located at 1/1000, 3/1000, 5/1000, and so on, up to 499/1000.

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Answer:

i can't sorry

Step-by-step explanation:

If the difference of 3 times a number(n) and 10 is 5 , then the number is n = 5  .

In the question ,

it is given that

the number is = n

and also the statement is given as  " the difference of 3 times of a number "n" and 10 is = 5 "

which means

3×n - 10 = 5    ...because times means × and difference means " - " .

3n - 10 = 5

on adding 10 to both sides of the equation and solving further ,

we get ,

3n = 5 + 10

3n = 15

n = 15/3

n = 5

Therefore , If the difference of 3 times a number(n) and 10 is 5 , then the number is n = 5  .

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The quadratic equation is:

y = (x - 2)^2 - 3

So the correct option is A.

The graph clearly is the graph of a quadratic equation, there we can see that:

The y-intercept is y = 1.

The vertex is (2, -3)

Remember that if we know that a quadratic equation has a vertex (h, k), then the equation can be written as:

y = a*(x - h)^2 + k

In this case, the vertex is (2, -3), replacing that we get:

y = a*(x - 2)^2 - 3

Now, we can find the value of a, the leading coefficient, by using the fact that the y-intercept is y = 1, evaluating in zero we should get:

1 = a*(0 - 2)^2 - 3

1 = a*4 - 3

1 + 3 = a*4

4/4 = a = 1

Then we conclude that the quadratic equation is:

y = (x - 2)^2 - 3

So the correct option is A.

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