in a field hockey championship, 120 matches were played. every pair of team played one match with each other. the number of teams in the tournament is therefore:

Answer:

1:3

n=3

Step-by-step explanation:

1 hour = 60 minutes

20:60

20÷20=1

60÷20=3

1:3

[tex] = 2x(x - 3) - 5(x - 3) \\ = 2 {x}^{2} - 6x - 5x + 15 \\ = 2 {x}^{2} - 11x + 15 [/tex]

ATTACHED IS THE SOLUTION

Answer:

2.5 × 10^-1

step-by-step explanation:

To get to standard form, you must move the decimal to the right one place so the number before it is not a 0. Because you move the decimal, you must add the second part of the equation so that the value does not change.

Answer:

02.5 but the 0 at the beginning isn't significant so 2.5

Step-by-step explanation:

because to find the standard form you move the decimal point so that there is only one non-zero digit in front of the decimal point.

Answer:

38%

Step-by-step explanation:

22 ÷ 58 = 0.3793...

Ans × 100 = 37.93%

As a whole number = 38%

In linear equation, 57 cents per cubic foot  should clint charge for a cubic foot .

What are a definition and an example of a linear equation?

cubic meter =  [3.28 ft ]^3  ≈ 35.29 cubic feet

So,

 price [ in cents] / 35.29  cubic feet  = 2000 / 35.29  ≈  57 cents per cubic foot

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The required third number will be 12 when numbers are in the A.P.

An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.

The given data as

first number = - 2

fifth number = 26

Assume that the given numbers are in the A.P.

The formula to find the general term of an arithmetic sequence is,

Tₙ = a₁ + (n-1)d  ...(i)

Substitute the value of n = 5 and a₁ = -2 in the above formula

T₅ = a₁ + (5-1)d

26 = -2 + 4d

4d = 28

d = 7

For finding the third term (number):

T₃ = -2 + (3-1)7

T₃ = -2 + (2)7

T₃ = -2 + 14

T₃ = 12

Therefore, the required third number will be 12 when numbers are in the A.P.

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If a train leaves a station heading east. after traveling east for 33 miles, the train leaves 56 miles south. The distance of the train from the station is C. 65.

Using Pythagoreans theorem formula to find the distance

d² =  a² + b²

Where:

d = distance =?

a= east for 33 miles

b = 56 miles south

Let plug in the formula

d = √33² + 56²

d = √ 1089 + 3136

d = √4225

d = 65 miles

Therefore the correct option is C.

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I think so ya is does you just need to tell your teacher if you don't understand

The linear equation to represent the total cost c =  2.25s + 1,347.85.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Using slope

slope= ( 5847. 75 - 4074 . 85)/( 2000- 1200)

slope= 1800 - 800

slope= 2.25

and, slope- intercept form

c - 4047.85 = 2.25 ( s- 1200)

c - 4047.85 = 2.25s - 2700

c = 2.25s - 2700 + 4047.85

c =  2.25s + 1,347.85

Hence,  linear equation to represent the total cost c =  2.25s + 1,347.85.

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Answer:

Bracelets: 7 Necklaces: 9

Step-by-step explanation:

b+n=16

6n+24n=258

b=-n+16

6(-n+16)+24n=258

-6n+96+24n=258

18n=162

n=9

6n+24(9)=258

6n+216=258

6n=42

n=7

B stands for bracelets

N stands for necklaces

The measure of the exterior angle of the triangle is 144 degrees.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Therefore, the measure of the two remote interior angles of a triangle are x - 10 and 4x + 4. The exterior angle of the triangle measures 3x + 54 .

Let's solve for the exterior angle.

x - 10 + 4x + 4 = 3x + 54

5x - 6 = 3x + 54

5x - 3x = 54 + 6

2x = 60

x = 60 / 2

x = 30

Therefore,

exterior angle = 3x + 54 = 3(30) + 54 = 90 + 54 = 144 degrees

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The probability that the divisor chosen is a perfect square is found to be 1/22 which is m:n.

Given: Randomly, a positive integer divisor of 12! is selected.

Prime factorization of 12! = 2¹⁰ × 3⁵ × 5² × 7¹ × 11

Total divisors of 12! = 11 × 6 × 3 × 2 × 2

The probability that the divisor chosen is a perfect square is given as:

(6 × 3 × 2)/(11 × 6 × 3 × 2 × 2)

= 1/22

=m/n

Therefore, the probability that the divisor chosen is a perfect square is found to be 1/22 which is m:n.

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Answer:

59.3 meters/second

Step-by-step explanation:

593 / 10 = 59.3

Answer:11

Step-by-step explanation: 44 divided into 4 is 11.

Answer:

The answer would be 11

Step-by-step explanation:

Because, 44 divided by 4 = 11

The absolute value equation representing all numbers x whose distance from 5 is equal to 5 units is written as:

|x - 5| = 5

An absolute value equation where the variable is x can be written as:

|x - a| = b

This means that the distance between x and a is equal to b.

So if we want to write an equation where the distance between x and 5 is equal to 5, then we can replace:

a = 5

b = 5

And the absolute value equation will be:

|x - 5| = 5

This is what we wanted to get.

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When there is 580 feet of fencing available to complete the job, the largest possible total area of the 5 pens is 7008.33 feet.

The quantity area expresses the extent of a region on a plane or curved surface.

STEP 1: We know that,

A=x y

The perimeter equals 580feet.

The equation is,

580=6x+2y

Step 2: Solving y terns with x,

y=-3x+290

This information will assist us in obtaining our Area equation in terms of a single variable (just in terms of x).

Step 3: Using the x-y relationship discovered in Step 2, write your Area equation in terms of x only. You should obtain

A=x y

A=x(-3x+290)

A=-3x²+290x

Step 4: Derive the area equation,  A' = -6x+290

Step 5: Set A' = 0

-6x+290=0

x=290/6

x=48.33

Step 6: Find y by substituting 48.33 in x in the perimeter equation then,

y=-3(48.33)+290

y=145.01

Step 7:  A=x y

A=(48.33)(145.01)

A=7008.33 feet

The largest possible total area of the 5 pens is 7008.33 feet

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The dimensions of the ticket are width is 11 cm and  length is 18 cm.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

An airplane ticket has a perimeter of 58 cm and an area of 198 square cm.

Let W is the width of the ticket and L is the length of the ticket

The area of a credentials= L × W

198 = L × W ...(i)

The perimeter of a ticket = 2(L+W)

58 = 2(L+W)

29 = L + W

L = 29 - W ...(ii)

Substitute the value of L = 99 - W in equation (i)

198 = (29 - W) × W

198 = 29W - W²

0 = W² - 29W + 198

[tex]0=\left(W^2-11W\right)+\left(-18W+198\right)[/tex]

[tex]0=W\left(W-11\right)-18\left(W-11\right)[/tex]

[tex]0=\left(W-11\right)\left(W-18\right)[/tex]

W = 18 or 11

Substitute the value of W = 11 in equation (ii)

L = 29 - 11

L = 18

Thus, the dimensions of the ticket are width is 11 cm and length is 18 cm.

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The solution to the variable x is 12 and the measure of ∠B is 48°.

∠A = 5x−12°

∠B = 2x+24°

Angle A and Angle B are congruent angles.

Congruent angles are angles with the same or equal measures.

So,

∠A = ∠B

5x - 12 = 2x + 24

5x - 2x = 24 + 12

3x = 36

divide both sides by 3

x = 36/3

x = 12

So therefore,

∠A = 5x−12°

= 5(12) - 12

= 60 - 12

= 48°

∠B = 2x+24°

= 2(12) + 24

= 24 + 24

= 48°

Therefore, since ∠A and ∠B are congruent, the measure of ∠A and ∠B is 48° respectively.

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To cover 10000 steps the time taken will be 115 minutes and he will cover at 9:55 AM.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that at 8 a.m., Sothy goes for a walk and plans to walk `10000` steps. At 8:23 a.m., his phone tells him that he has taken `2000` steps.

The time will be calculated as,

2000 steps ⇒ 23 minutes

1 Step ⇒ 23 / 2000 minutes

10000 steps ⇒ ( 23 x 10000) / 2000 minutes

10000 steps ⇒ 115 minutes

The time of covering 10000 steps will be at 9:55.

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Step-by-step explanation:

the sum of all angles in a triangle is ALWAYS 180°.

and by using the word "congruent" : for angles that only means they are equally large.

we know the third angle.

so,

180 = P + Q + R = 2×P + 28.45

(because P = Q)

2×P = 151.55

P = Q = 151.55 / 2 = 75.775°

The relationship between the data, the line and the unit price of apples of $1.50 per pound is best represented by option C Graph.

What is the slope of a line?

The slope of a line is the tangent of the angle that the line makes with the positive direction of the x-axis. It signifies the rise in the y-variable for a unit change in the x-variable.

If the line passes through the points (x, y) and (x, y), then the slope of the line, m = (y - y)/(x - x).

(2, 3) representing the purchase by Logan,

(5, 7.5) representing the purchase by Lin,

(3, 4.5) representing the purchase by Chita.

The unit price can be calculated by the slope of the line;

m = (7.5 - 4.5)/(5 - 3) = 3/2 = 1.5.

Hence, The relationship between the data, the line and the unit price of apples of $1.50 per pound is best represented by option C Graph.

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The similar pairs of triangles are given as follows:

Similar triangles are two triangles that have the same angle measures.

For these triangles, considering the relations between angles such as sine/cosine/tangent, or the law of sines, the side lengths have to be proportional.

Considering the need for proportional side lengths, the similar triangles in this problem are given as follows:

The other triangles are not similar as there are no proportional relationships that can be established from the side lengths of these triangles.

The problem is given by the image at the end of the answer.

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(5) All snow geese can eat for 11.5 days before the research and rescue center runs out of supplies.

What is snow geese?

Despite having a reputation for having white feathers, many snow geese are actually blue geese, which are darker, gray-brown birds. These birds were formerly believed to be two distinct species, however it has recently been discovered that they are actually just two color variants of the same bird. The variation in color is controlled by a single gene.

9 snow geese are housed in the research and rescue center.

Each geese consumed 16 ounces of seeds, therefore that's how much.

Therefore, the amount of seeds consumed by 9 snow geese is equal to (16*9) ounces.

144 ounces of seeds were consumed by 9 snow geese.

There are currently 1,656 ounces of seeds.

Thus, the number of days before the center runs out of food is equal to the sum of the ounces of seeds eaten by the nine snow geese divided by the total ounces of seeds.

Days till the food center runs out of supplies = 1656/144

11.5 days are required until the center runs out of food.

Hence, all snow geese can eat for 11.5 days before the research and rescue center runs out of supplies.

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The function that will standardize a multivariate normal sample is

Ф(X) = (1/2π)^(p/2).|M|^(-1/2).exp(-1/2(X-m)'M^(-1)(X-m))

According to a multivariate normal distribution with mean vector m and variance-covariance matrix M, then this random vector, X , will have the joint density function as shown:

Ф(X) = (1/2π)^(p/2).|M|^(-1/2).exp(-1/2(X-m)'M^(-1)(X-m))

where, |M| denotes the determinant of the variance-covariance matrix M and M^(-1) is just the inverse of the variance-covariance matrix M.

Hence, the function that will standardize a multivariate normal sample is

Ф(X) = (1/2π)^(p/2).|M|^(-1/2).exp(-1/2(X-m)'M^(-1)(X-m))

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Answer:

the mistake was in subtracting 21.6 from 13.8

Step-by-step explanation:

the answer was suppose to be -7.8 and not 35.4

Answer:

the mistake was in subtracting 21.6 from 13.8

Step-by-step explanation

the answer was suppose to be -7.8 and not 35.4

The scientist will take 23 seconds to get back to the sea level.

Let us calculate the distance covered by the scientist at the given speeds and at the specified times.

She travels down for 41 seconds at speed of 4.9 feet per second.

Distance travelled = 41 × 4.9 = 200.9 feet

Elevation = -200.9 feet

She then goes up for 49 seconds at speed of 3.2 feet per second.

Distance travelled = 49 × 3.2 = 156.8 feet

Elevation = -222.9 + 156.8 = -44.1

So she is at a depth of 44.1 feet below the sea level.

Time taken = 44.1 / 3.6 = 12.25 seconds

Therefore it will take her about 12.25 seconds to go back to the sea level.

The average surface level of one or more of the Earth's coastal bodies of water is known as mean sea level (MSL), which can be used to calculate heights like elevation.

There are several terminologies that describe the ebb and flow of the relationship between sea level and dry land.

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The equation of the parabola that similar to f(x) = [tex]7x^2[/tex] but the vertex is (3, 5) in the standard form is y = [tex]7(x-3)^2[/tex] + 5

The equation of the parabola

f(x) = [tex]7x^2[/tex]

The standard vertex form of a parabola is

y = [tex]a(x-h)^2[/tex] + k

The coordinates of the vertex of a parabola = (3, 5)

Where (h, k)  is the coordinates

From the given function of the parabola f(x) =  [tex]7x^2[/tex]

The value of a = 7

Substitute the values in the vertex form of a parabola

y = [tex]7(x-3)^2[/tex] + 5

Hence, the equation of the parabola that is similar to f(x) = [tex]7x^2[/tex] but the vertex is (3, 5) in the standard form is y = [tex]7(x-3)^2[/tex] + 5

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Answer:

y=2x+9

Step-by-step explanation:

Fill in the equation

5=2(-2)+b

Solve for b

5 = -4+b

9 = b

Put the original equation

y=2x+9