Which set of numbers is correctly ordered from greatest to least?
A: 7 1/3, 7.36, 221/30, 2.4, square root of 3pi
B: 2.4, square root of 3pi, 221/30, 7.36, 7 1/3
C: 2.4, square root of 3pi, 7.36, 221/30, 7 1/3
D: 7 1/3, 221/30, 7.36, 2.4, square root of 3pi

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The match can be scheduled in 900 different ways with the help of permutations and combinations.

Given,

Number of players from each school = 3.

Let, the players of the first school be A, B, and C.

Let, the players of the second school be X, Y, and Z.

The problem can be solved in two cases,

Case-1

According to the question,

Each player from the first school has to play twice with each player from the second school.

We can organize the schedule into six different rounds, i.e.,

Round 1 : AX BY CZ

Round 2 : AX BZ CY

Round 3 : AY BX CZ

Round 4 : AY BZ CX

Round 5 : AZ BX CY

Round 6 : AZ BY CX

In other words, we have to permutate these 6 rounds, i.e., 6! = 720 ways.

Case-2

Given,

Three rounds are played simultaneously in each round.

(a)

Round 1 : AX BZ CY

Round 2 : AX BZ CY

Round 3 : AY BX CZ

Round 4 : AY BX CZ

Round 5 : AZ BY CX

Round 6 : AZ BY CX

(b)

Round 1 : AX BY CZ

Round 2 : AX BY CZ

Round 3 : AY BZ CX

Round 4 : AY BZ CX

Round 5 : AZ BX CY

Round 6 : AZ BX CY

The total number of permutations for Case-2 will be twice of 6! / (2! 2! 2!), which is equal to 90+ 90 = 180.

Thus, the total number of ways in which the match can be scheduled is 720 + 180 = 900.

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Answer:

f(3) = 11

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x), that is

f(3) = 2(3) + 5 = 6 + 5 = 11

The real number √21 is an example of an irrational number. (Correct choice: C)

According to number theory, real numbers are formed by the following sets:

Then, by direct inspection we get the following conclusions:

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Jessica will pay $119.15 for her phone after applying the 15% off coupon and the $50 discount.To calculate the final price that Jessica will pay for her phone, we need to consider the 15% off coupon and the $50 discount.

First, let's calculate the discount amount based on the 15% off coupon. We can find this by multiplying the original price ($199) by 15% (or 0.15):

Discount amount from coupon = $199 * 0.15 = $29.85

Next, we need to subtract the $50 discount offered by the store:

Discount amount from store = $50

Now, we can calculate the final price Jessica will pay by subtracting the total discount amount from the original price:

Final price = $199 - ($29.85 + $50) = $199 - $79.85 = $119.15

Therefore, Jessica will pay $119.15 for her phone after applying the 15% off coupon and the $50 discount.

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\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{12}\\ b=\stackrel{opposite}{5}\\ \end{cases} \\\\\\ c=\sqrt{12^2 + 5^2}\implies c=\sqrt{144+25}\implies c=\sqrt{169}\implies c=13\)

Answer:

x = 14

Step-by-step explanation:

hope this is right!!

Answer:

i think its 6

Step-by-step explanation:

The length of the diagonal of the rectangular prism will be √35 units. Then the correct option is B.

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The dimension of the rectangular prism will be 3 units long, 5 units wide, and 1 unit high. Then the diagonal of the prism is given as,

D² = 3² + 5² + 1²

Simplify the equation, then we have

D² = 3² + 5² + 1²

D² = 9 + 25 + 1

D² = 35

D = √35 units

The length of the diagonal of the rectangular prism will be √35 units. Then the correct option is B.

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The minimum and maximum numbers of hours will be 3.5 hours and 2.5 hours.

From the information, there is a constant speed of 10 miles per hour and one plan to bike 30 miles.

The maximum mile will be:

= 30 + 5 = 35 miles

The time will be:

= 35/10 = 3.5 hours.

The minimum mile will be:

= 30 - 5

= 25

The time will be:

= 25/10

= 2.5 hours.

Therefore, the minimum and maximum numbers of hours you bike will be 3.5 hours and 2.5 hours.

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Answer: 1/20

Step-by i hope you have a great day

the data are normally distributed with a mean of 74.674.6 hours and a standard deviation of 9.19.1 hours. So  10.2% of gadgets were powered by batteries for fewer than 63 hours.

Given that,

Data have a mean of 74.6 hours and a standard deviation of 9.1 hours, and they are regularly distributed.

The standard deviation is defined as ?

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

\(p(X\leq 63) = p(Z\leq 63-74.6/9.1)\)

From standard deviation,

         \(p(X\leq 63) = p(Z\leq -1.279)= 0.1061\)

a certain percentage of gadgets have battery life of less than 63 hours.

X= 63 hours

Percentage of devices ran on the batteries for fewer than 63 hours = 10.2%

Therefore, 10.2% of electronic devices had battery life of less than 63 hours

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Answer:

1 day

Step-by-step explanation:

none of the answers shown are correct,it is 1 day,is the question worded diffrently?

Answer:

B)

Step-by-step explanation:

Answer: the answer is B hope this helps

Step-by-step explanation:

Answer:

consider the < as = signs

and take -5 to the other side making it a +

x<0+5

x<5

To verify if the given matrix is diagonalizable, we need to find the inverse of matrix `P`. Once we have the inverse matrix, we can evaluate `P^-1.A.P`.

Here's the step-by-step solution to this problem: Given matrix `a = 4 -6 1 -1` and `p = -2 -3 -1 -1`We need to verify that `a` is diagonalizable by computing `P^-1.A.P`Step 1: Finding the inverse of matrix `p`We have `p = -2 -3 -1 -1`. The inverse of matrix `p` is given by`P^-1 = 1/5 2/5 1/5 -3/5`To verify, we can perform `P.P^-1` and `P^-1.P`. Both the products should yield identity matrix `I`Step 2: Evaluating `P^-1.A.P`We know `P^-1 = 1/5 2/5 1/5 -3/5` and `a = 4 -6 1 -1`Let's evaluate `P^-1.A.P` to check if matrix `a` is diagonalizable.

`P^-1.A.P = 1/5 2/5 1/5 -3/5 . 4 -6 1 -1 . -2 -3 -1 -1`= 1/5 2/5 1/5 -3/5 . 4 -6 1 -1 . -2 -3 -1 -1`= -4 0 0 0 0 -1 0 0 0 0 2 0 0 0 0 -1`= diag (2,-1,-4,-1)Since `P^-1.A.P` is diagonal, matrix `a` is diagonalizable.Therefore, we have verified that the given matrix `a = 4 -6 1 -1` is diagonalizable by computing `P^-1.A.P` which is `diag (2,-1,-4,-1)` as shown above.

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Answer: the formula is 5,6,7,8,9,10 every step plus one

Step-by-step explanation:

1+5 =6

6+6=12

12+7=19

19+8=27

27+9=36

Answer:

x=\(\sqrt{7}\)

Step-by-step explanation:

use the pythagorean theorem

since the two sides are the same you  

\(2x^{2} =14\\x^{2} =7\\x=\sqrt{7}\)

Answer:  The slope is 11/17

Step-by-step explanation:

To find the slope, find the difference in the y coordinates and  divide it by the difference in the x coordinates .

y coordinates:   16 - (-6) = 22

x coordinates ;   15 - (-19) = 34

22/ 34 = 11/17

The combined present worth of the costs associated with the proposed bridge design, including construction and annual operating costs, is $10,583,333.

To calculate the combined present worth of costs, we need to consider the construction cost and the annual operating cost over the infinite life of the bridge. We will use the concept of present worth, which is the equivalent value of future costs in today's dollars.

The present worth of the construction cost is simply the initial cost itself, which is $9,000,000. This cost is already in present value terms.

For the annual operating cost, we need to calculate the present worth of perpetuity. A perpetuity is a series of equal payments that continue indefinitely. In this case, the annual operating cost of $700,000 represents an equal payment.

To calculate the present worth of the perpetuity, we can use the formula PW = A / MARR,

where PW is the present worth, A is the annual payment, and MARR is the minimum attractive rate of return (also known as the discount rate). Here, the MARR is given as 12%.

Plugging in the values, we have PW = $700,000 / 0.12 = $5,833,333.

Adding the present worth of the construction cost and the present worth of the perpetuity, we get $9,000,000 + $5,833,333 = $14,833,333.

However, since we are looking for the combined present worth, we need to subtract the salvage value, which is zero in this case. Therefore, the combined present worth of the costs associated with the proposed bridge design is $14,833,333 - $4,250,000 = $10,583,333, rounded to the nearest dollar.

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Answer:

3(X+1)+6=33

3x+3+6=33

3x+9=33

3x=33-9

X=24/3

X=8

Answer:

\(x = 8\)

Step-by-step explanation:

1) Subtract 6 from both sides.

\(3(x + 1) = 33 - 6\)

2) Simplify 33 - 6 to 27.

\(3(x + 1) = 27\)

3) Divide both sides by 3.

\(x + 1 = \frac{27}{3} \)

4) Simplify 27/3 to 9.

\(x + 1 = 9\)

5) Subtract 1 from both sides.

\(x = 9 - 1\)

6) Simplify 9 - 1 to 8.

\(x = 8\)

Therefor the answer is, x = 8.

Answer:

Yes they are equivalent

Answer:

Definition of equilateral triangle

Step-by-step explanation:

All sides of equilateral triangles are equal.

Given equation is a first-order nonlinear ordinary differential equation (ODE): y' - (x + y - 1)^2 = 0

What is differential equation ?

A differential equation is an equation that contains at least one derivative of an unknown function, either a normal differential equation or a partial differential equation.

This equation can be solved using various methods, such as numerical methods or analytical methods like the implicit function theorem or the method of characteristics. However, finding an exact solution can be challenging and may not always be possible.

If you would like to find an approximate solution to this ODE, you could use numerical methods such as Euler's method, Runge-Kutta method, or the finite difference method. These methods can provide a numerical approximation to the solution for a given range of x and a specified initial condition.

The given equation is a first-order nonlinear ordinary differential equation (ODE):

y' - (x + y - 1)^2 = 0

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Answer:

1. 264

2. degree: 6, term: 3xy^5

3. -60x^3-2x^2+9x

4. 6mn^3-4m

5. 8x^3-4x+2

6. -x^2-6x-13

Step-by-step explanation:

Answer:

y - 1 = -7/2 (x + 3 )

Explanation:

The point-slope form of a line is

where (x_1, y_1) is a point on the line and m is the slope.

Let us first find the slope.

A point on the line we are told is (-3, 1); thereofore, (x_1, y_1) = (-3, 1); hence

Let's evaluate the statements:

Supplementary angles: that means the sum of ∠K and ∠J is 180°.

Adjacent angles: that means that ∠K and ∠J common side and a common vertex.

So, let's observe the angles:

Given:

Linear pairs of angles are those two adjacent angles whose sum is 180°.

Answer: ∠K and ∠J are linear pairs.

Answer:

A .   All integers are rational numbers.

D .    Terminating decimals are rational numbers

E   0.278254….. is a terminating decimal, therefore it is a rational number.

Step-by-step explanation:

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