There are 18 offensive players on the hockey team. How many ways can the coach choose a left wing, center, and right wing to start the game?

Answer:

[tex]c = 1[/tex]

Step-by-step explanation:

The given expresion is

[tex]2 {x}^{2} + 3x + c[/tex]

For this expression to be factorable using integers, we must find factors of 2c, that will sum up to 3.

We know 2,c are factors of 2c

Their sum should be 3.

[tex]c + 2 = 3[/tex]

This implies that:

[tex]c = 3 - 2 \\ c = 1[/tex]

Answer:

Diego and Mai are thinking of the slopes of the graphs!

Step-by-step explanation:

The slopes of the graphs are as follows:

Right: Negative slope

Center: Zero slope

Left: Positive slope

Therefore, you can conclude that the graphs are organized in order of slope.

(Let me know if you need more explanation as to why we know the slopes are positive, negative, zero, etc.)

Answer:

90 so c

Step-by-step explanation:

The measure of Angle c when  3 lines intersect to form 6 angles is 90 degrees.

For a regular polygon of any number of sides, the sum of its exterior angle is 360° (full angle).

Exterior angle is an measure of rotation between one extended side(we extend it virtually) of the polygon with its adjacent side which is not extended.Consider that it be having 'n' sides, all the exterior angles are of same measure, and therefore, their measure is (360/n)°.

We are given that;

The 3 lines intersect and form 6 angles.

Now,

To find angle c, we need to use the fact that the angles around a point add up to 360 degrees. The six angles formed by the three intersecting lines include all the angles around a point, so we have to set up another equation;

Angle c + 48 degrees + 42 degrees + 90 degrees + 48 degrees + 42 degrees = 360 degrees

Simplifying and solving for angle c, we get:

Angle c = 360 degrees - 270 degrees

Angle c = 90 degrees

Therefore, by interior and exterior angles the measure of angle c is 90 degrees.

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Answer:

25.13 in^2.

Step-by-step explanation:

I will assume a circular pizza with 8 pie shaped pieces.

Each of the 8 sectors is one piece of pizza.  So find the area of the the circle, radius = 16/2 = 8, that is π * 8^2 and divide by 8 getting 8π for the area of each slice.  Note:  8π ≈ 8 * 3.1416 ≈ 25.13 in^2.

Answer:

25.13in^2

Step-by-step explanation:

A. 45 is your answer

The third angle is 45°.

Option A is the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

The two angles in the triangle are 80 and 55.

Now,

The sum of all the angles in the triangle is 180.

Third angle = x

So,

80 + 55 + x = 180

135 + x = 180

Subtract 135 on both sides.

x = 180 - 135

x = 45

Thus,

The third angle is 45°.

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Answer:

Step-by-step explanation:

hello :

(4x+3)(2x-5)=0

4x+3=0 or 2x-5=0

x= -3/4 or x=5/2

(4x+3)(2x-5) =  8x²-14x-15

Step-by-step explanation:

Given,

(4x+3)(2x-5)

To find the value of the given multiplication.

Formula

(a+b)(c+d)

= a(c+d)+b(c+d) = ac+ad+bc+bd

Now,

(4x+3)(2x-5)

= 4x(2x-5)+3(2x-5)

= 8x²-20x+6x-15

= 8x²-14x-15

Answer:

D. 216 cubic centimetres.

Step-by-step explanation:

The answer is D, because 6 to the 3rd power is 216.  therefore, if the side length is 6, the answer is 216.

Answer: -3

Step-by-step explanation: plug -2 into f(x)=x^2+10 and you get 14, then plug the -1 into that same equation and end up with 11, now you subtract the 11 from the 14 and get 3 but since you subtracted or in other words the number decreased it would be -3

The average rate of change of f(x) over the interval [-2,-1] is 3.

To find the average rate of change of f(x) over the interval [-2,-1], we need to calculate the difference in the function values at the endpoints and divide it by the difference in the x-values. Let's substitute the endpoints into the function:

f(-2) = (-2)² + 10 = 4 + 10 = 14

f(-1) = (-1)² + 10 = 1 + 10 = 11

The difference in function values is 14 - 11 = 3, and the difference in x-values is -1 - (-2) = -1 + 2 = 1. Therefore, the average rate of change is 3/1 = 3.

Answer: 8 First class tickets

Step-by-step explanation:

You can set up a system of equations for this problem. Let x = number of coach tickets and y = number of first class tickets. Then:

330x + 1220y = 12730    (cost of coach tickets plus cost of first class tickets is total budget)

x + y = 17    (number of coach tickets plus number of first class tickets is total number of people)

Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:

330x + 1220(17 - x) = 12730

330x + 20740 - 1220x = 12730

-890x + 20740 = 12730

-890x = -8010

x = 9

Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:

9 + y = 17

y = 8

Sarah bought y = 8 first class tickets.

Answer:

6  first class 5 coach

Step-by-step explanation:

msg me if you need me to explain it

Answer:

Probability = the number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail).

Step-by-step explanation:

Answer

206.02

Step-by-step explanation:

r=d/2

=16.2/2=8.1

3.12*8.1*8.1=206.0154

to the nearest hundred=206.02

The area of the circle with a diameter of 16.2 inches is approximately 206.24 square inches.

The area of a circle can be found using the formula A = πr^2, where π represents the mathematical constant pi and r is the radius of the circle. Since the diameter of the circle is given as 16.2 inches, we can find the radius by dividing the diameter by 2: r = 16.2 / 2 = 8.1 inches. Now we can plug in this value into the formula to find the area: A = 3.14 * (8.1)^2 = 206.2446 square inches. Rounding this to the nearest hundredth, the area of the circle is approximately 206.24 square inches.

Answer:15

15

7 cupcakes=17.5

40-17.5=22.5

donuts are 1.50

22.5 divided by 1.5 is 15

The maximum number of donuts Cooper can buy is 15.

Given that, the cost of cupcakes = $2.50 and the cost of donuts = $1.50.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let the number of cupcakes be x and the number of donuts be y.

Cooper wans to buy a minimum of 18 cupcakes and donuts altogether

That is, x+y≥18

Cooper has $40 to spend on cupcakes and donuts.

So, 2.50x+1.50y≤40

Cooper decided to buy 7 cupcakes

Then number of donuts will be

2.50(7)+1.50y≤40

⇒17.5+1.50y≤40

Subtract 17.5 on both the sides of a inequality, we get

17.5+1.50y-17.50≤40-17.50

⇒1.50y≤22.5

Divide 1.50 on both the sides of a inequality, we get

1.50y/1.50≤22.5/1.50

⇒y≤15

Therefore, the maximum number of donuts Cooper can buy is 15.

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Answer:

all real number

Step-by-step explanation:

since h(x) is polynomial function

Final answer:

The domain of the function h(x)=x-4 is all real numbers, as there are no restrictions on the value of x.

Explanation:

The domain of a function represents all the possible values that can be input into the function. For the function h(x)=x-4, there are no restrictions on the value of x, since x represents a real number and there are no denominators or square roots to consider.

Therefore, the function h(x)=x-4 is defined for all real numbers, making the domain of h to be all real numbers, which is often denoted by the symbol (-∞, +∞) or simply written as 'all real numbers'.

Answer:

Exponential Decay

Step-by-step explanation:

The description that matches the function represented by the values is A. exponential decay.

Consider the function: [tex]y = a(1\pm r)^m[/tex]

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is plus sign, so there is exponential growth happening by r fraction or 100r %

If there is negative sign, so there is exponential decay happening by r fraction or 100r %

The given function is

[tex]y = a(1\pm r)^m\\972 = 1(1\pm r)^m[/tex]

The table shows the exponential decay function.

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Answer:

B

Step-by-step explanation:

You want to make sure the building is insured so that if there is a disaster, you can get your money back. You also want to insure your most valuable contents, too, but you probably already have them insured.

As a homeowner, you will most likely need to insure both the contents of the building and the building itself.

A homeowner is a person who owns a home, which is a residential dwelling that is typically occupied by the owner and their family. Homeownership usually involves buying a property, such as a house or a condominium, and taking responsibility for its maintenance, upkeep, and any associated expenses, such as property taxes, insurance, and repairs.

We have,

As a homeowner, you will most likely need to insure both the contents of the building and the building itself.

Homeowner's insurance typically covers both the structure of the home (i.e., the building itself) and the personal property (i.e., the contents) inside the home against damage or loss due to various perils, such as fire, theft, vandalism, and natural disasters.

The coverage for the building itself typically includes the physical structure of the home, as well as any attached structures, such as garages or porches.

The coverage for personal property typically includes furniture, electronics, appliances, clothing, and other personal belongings.

It's important to note that the specific coverage and limits of a homeowner's insurance policy can vary depending on the policy and the insurance provider.

Thus,

As a homeowner, you will most likely need to insure both the contents of the building and the building itself.

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Answer:

False. Squaring any rational, whole number, will always give you a even number. So if you add one to the number, you will get a odd number.

The statement is false.

When an integer is multiplied by itself, the resultant number is known as its square number. Basically, a square number is a number that is obtained by the product of two same numbers. In geometry, the area of a square with 'n' as the side length (where n is an integer) is the finest example of a square number.

When an integer is multiplied by the same integer, the resultant number is known as a square number.

examples of square numbers.

let the number be x.

Squaring a number = x²

adding 1 = x² + 1

let take the number 2

=2² + 1 = 4+ 1 = 5

if we take 3

=3² + 1 = 9+1= 10

so, if the number if odd then the answer will be even otherwise odd.

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Answer:

78.5%

Step-by-step explanation:

Area of a 100ft radius circle = 628sqm

Area of rectangle = 800sqm

= 172sqm difference in size

if 800 sqm = 100%

Then 600 sqm = 3/4 = 75%

60sqm =3/40 = 7.5%

6sq m =3/400 =0.75%

2 sq m = 0.25%

30sqm = 1/2 of 7.5%= 3.75

3.75-0.25 = 3.50%

3.50% + 75 = 78.5%

Answer:58

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

since it equals to 90 you subtract that with 32

which gives you 58

Answer: Zero

Step-by-step explanation:

A negative slope is a linear line that is sloped from the upper left to the bottem right. A positive is the oppisate and an undefined line is vertical. A zero line is horizontal.

The word describes the slope of the line is zero

The slope of the line is defined as its inclination towards the x axis.

In the given figure,

So, the slope will be zero

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Answer:

give him brainliest plz

Step-by-step explanation:

=(2p - 29)/4= 4

=2p - 29 = 16

=2p = 16+29

=2p = 45

=p= 45/2

= p=22.5

Hope this will help u mate :)

Answer:

p=22.5

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Meters, centimeters, inches, miles, etc. are units of length.

Answer:

8/19

Step-by-step explanation:

Total = 5 + 6 + 8 = 19

P(blue) = 8/19

Or 0.4210526316

Final answer:

To find the length of the hypotenuse in a right triangle with legs of 7 ft and 10 ft, we use the Pythagorean theorem, resulting in a hypotenuse of approximately 12.21 feet.

Explanation:

The student is asking about the length of the hypotenuse in a right triangle where one leg is 7 ft and the other is 10 ft. To find the hypotenuse, we use the Pythagorean theorem which states a² + b² = c², where a and b are the lengths of the legs of the triangle, and c is the length of the hypotenuse.

For this triangle, the calculations would be:

a² = 7² = 49

b² = 10² = 100

a² + b² = c²

49 + 100 = c²

149 = c²

c = [tex]\sqrt{149[/tex]

c = 12.21 ft (rounded to two decimal places)

Therefore, the length of the hypotenuse of the triangle is approximately 12.21 feet.

Answer: The radius of the circle in 11

Final answer:

The equation is in the standard form (x - h)² + (y - k)² = r², where r is the radius. Thus, the square root of the constant term 121 would give the radius, which is 11.

Explanation:

To find the radius from an equation of a circle in the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle, and r is the radius, we need to compare it to the given equation.

As per the standard form, the number on the right side of the equation is r², the square of the radius.

We have (x - 3)² + (4 + 4)² = 121, which can be written as (x - 3)² + (8 - 0)² = 121, considering (3,0) as the center of the circle, the radius would be the square root of 121, which is 11.

Answer:

A: Raquel’s data are more likely closer to $3.42 than Van’s data are to $3.78

Step-by-step explanation:

Given that Raquel’s standard deviation is less than Van's standard deviation, then Raquel’s data are more likely closer to Raquel’s mean than Van’s data are to Van's mean.

Answer:

A

Step-by-step explanation:

Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.

Answer:

x = -2

Step-by-step explanation: