brainliest + ten points to first correct answer! word problem.

A high school soccer team has 18 players. There are 16 years, for juniors, four sophomores, and the rest are freshman. What is the ratio of seniors to freshman?

The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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Answer:

#1 is 24.33

#2 is 27.60

#3 is 11.29

Answer:

y = 4x + 3/4

Step-by-step explanation:

The slope intercept form is y = mx + b

Our equation is 4y - 12x = 4x + 3

4y - 12x = 4x + 3

4y = 16x + 3

y = 4x + 3/4

So, the answer is y = 4x + 3/4

Answer:

C is correct

Step-by-step explanation:

a is wrong because: 1*-1*-1*-1 =1

b) 1*1*1*1 =1

d) 1*-1*1*1 =1

only c 1*-1*-1*1 =-1 at the end of polynomial

To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A.

System A equations:

-x - 2y = 7  ------ (1)

5x - 6y = -3  ------(2)

We multiply the first equation by 5, to get :

-5x - 10y = 35 -----(3)

The sum of equation (2) and equation (3) gives:

-16y = 32

y = 32/-16

y = -2

Thus, solution of system B is;

-x - 2(-2) = 7

-x + 4 = 7

x = -3

So, the solution of system B is (-3, -2), that means the solution of both systems are same.

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Answer:

Speed = Distance / Time

Speed = 3/5 ÷ 1/2

Speed = 3/5 * 2

Speed = 6/5 mph or 1.2 mph.

Step-by-step explanation:

HOPE IT HELPS, PLS MARK IT AS THE BRAINLIEST AND PLS

there are 5 thirds.

There are three in a whole number one, and the two left over. Then you add em up!

Answer:

1 and 1/3

Step-by-step explanation:

1 2/3 = (1*3+2)/3 = 5/3. Therefore, 5/3 ÷ 1/3.

Answer:

13

Step-by-step explanation:

-12 - - 25 =

- 12 + 25 =

13

To find the probability that event A occurs given that event B occurs, we can use the formula for conditional probability:

P(A|B) = P(A and B) / P(B)

Given information:

P(A) = 5/9

P(B) = 5/7

P(A and B) = 4/9

Now, let's substitute the values into the formula:

P(A|B) = (P(A and B)) / P(B) = (4/9) / (5/7)

To divide fractions, we can multiply the numerator by the reciprocal of the denominator:

P(A|B) = (4/9) * (7/5)

Multiplying the numerators and denominators:

P(A|B) = (4 * 7) / (9 * 5) = 28/45

Therefore, the probability that event A occurs given that event B occurs is 28/45.

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Answer:

A) Not statistical /this question is answered by counting the number of days in March. This produces a single number. This number is not answered by collecting data that vary.

B) Not Statistical/ this question is answered by a single number. It is not answered by collecting data that vary.

C) Statistical/ this question would be answered by all collecting data, and there would be variability in that data.

D) statistical/ this question would be answered by collecting data, and there would be variability in that data

E) Not Statistical/ this question is answered by a single response. It is not answered by collecting data that vary.

F) not statistical/ this question would be answered by counting the bricks. This produces a single number. This question is not answered by collecting data that very

G) non-statistical/ there is only one temperature

Answer:I think it’s possibly A it’s what I got on my test and got it right.

Answer:

∠C = 30°

Step-by-step explanation:

       \(\sf Tan \ \theta = \dfrac{opposite \ side}{adjacent \ side}\)

                   \(\sf = \dfrac{5\sqrt{41}}{5\sqrt{123}}\\\\=\sqrt{\dfrac{41}{123}}\\\\=\sqrt{\dfrac{1}{3}}\\\\= \dfrac{1}{\sqrt{3}}\)

               \(\sf C =tan^{-1} \ \dfrac{1}{\sqrt{3}}\)

                  = 30°

Cups and ounces are both units of measurement used to express volume or capacity, but they are not equivalent. To convert between the two units, it's important to know that 1 cup is equal to approximately 8 ounces.

A cup is a unit commonly used in cooking and baking, while ounces (oz) are a unit commonly used to measure weight or volume in the United States. To find out how many cups are in 12 ounces, you can use the conversion factor of 1 cup = 8 ounces. To convert a measurement in ounces to cups, you divide the number of ounces by 8. So, to find out how many cups are in 12 ounces, you would divide 12 by 8.

The calculation is 12 / 8 = 1.5 cups. So, 12 ounces is equivalent to 1.5 cups.

It's also important to note that when measuring smaller or larger quantities, it's important to use the correct units. For example, ounces are more appropriate for measuring the weight of a small object like a coin, while cups would be more appropriate for measuring the volume of a liquid or a dry ingredient in a recipe.

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Answer:

( x - 6 )² - 35

Step-by-step explanation:

x² - 12x + 1

→ Half the middle term and place it inside the bracket

( x - 6 )² + 1

→ Square it

( x - 6 )² - 36 + 1

→ Simplify

( x - 6 )² - 35

Answer:

306 sq. units

Step-by-step explanation:

Coordinates of the trapezoid:

Area of trapezoid = 1/2(Base1 + Base2)*Height

Bases have length of:

Height is:

Area:

Answer:

324

Step-by-step explanation:

(6*3)*2

(6*16)*2

(16*3)*2

36+192+96=324

hope this helps :D

The area of the rug is 1,440 square inches and the sum of partial product is always equal to the area, 1440 square inches.

The area of the rug using the formula:

length x width = area.

The area of the rug is:

32 inches x 45 inches = 1440 square inches.

Refer figure for Erin and Frannie's design. Consider Erin's design

green = 30×5 = 150

red = 2×5 = 10

blue = 2×40 = 80

yellow = 30×40 = 1200

total area = green + red + blue + yellow

= 150 + 10 + 80 + 1200

= 1,440

Now consider Frannie's design

red = 5×1 = 5

blue = 35×1 = 35

green = 5×30 = 150

yellow = 35×30 = 1050

total area = 4red + 2blue + 2green + yellow

= 4×5 + 2×35 + 2×150 + 1050

= 20 + 70 + 300 + 1050

= 1,440

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Answer:

11/31 11/12 11/5

Step-by-step explanation:

because 11/5 is a mixed number and the bigger the denominator the smaller the number

Ethan makes in a week = $812.5

Given :

Total sales for the week = $1250

a guaranteed salary = $500

paid a commission on top of his base salary (Percentage commission) = 25%

Time and work problem:

Work Done = Time Taken × Rate of Work

Rate of Work = 1 / Time Taken

Time Taken = 1 / Rate of Work

If a piece of work is done in x number of days, then the work done in one day = 1/x

Total Wok Done = Number of Days × Efficiency

Efficiency and Time are inversely proportional to each other

X:y is the ratio of the number of men who are required to complete a piece of work, then the ratio of the time taken by them to complete the work will be y:x

Solution :

Amount of commission earned = 25% of $1250

= 25/100 × $1,250

= 0.25 × 1250

= $312.5

Total earnings = Base salary + Amount of commission earned

= $500 + $312.5

= $812.5

Ethan makes in a week = $812.5

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Carter would make an annual salary of $96000 after 12 years working for the company

What is addition ?

Addition is a basic mathematical operation that combines two or more quantities to find a total or a sum. It is denoted by the symbol "+" and is usually taught in elementary school. In addition, the order of the numbers does not matter, meaning that you can add them in any order and still get the same result. For example, 3 + 5 is the same as 5 + 3, and the answer is 8 in both cases.

According to the question:
After 8 years, Carter would have received 8 salary raises of $3000 each:

8 x $3000 = $24000

Adding this to his starting salary of $60000 gives us:

$60000 + $24000 = $84000

Therefore, Carter would make an annual salary of $84000 after 8 years working for the company.

To find his salary after 12 years, we can simply calculate 12 salary raises of $3000 each and add it to his starting salary:

12 x $3000 = $36000

$60000 + $36000 = $96000

Therefore, Carter would make an annual salary of $96000 after 12 years working for the company.

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Answer:

20+(56)-18=

Step-by-step explanation:

some specific values are carried on 15 to 60 numbers

There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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Answer:

Option d.

Amelie read 30 pages of a book. she read 1/5 of the pages on monday. how many pages did she read on monday?

Polynomials are  closed under the operations of addition, subtraction, and multiplication, polynomials constitute a system similar to that of integers.

Polynomial exponents are whole numbers.

The fact that addition is closed for the whole numbers ensures that the resultant exponents will also be whole numbers. Polynomials are hence closed under addition.

Polynomials will be closed under an operation if the operation produces another polynomial.

If we subtract 2 polynomials, the result is a polynomial. Therefore, they are also closed under subtraction.

Polynomials are an algebraic equation that has more than two terms, particularly the accumulation of numerous phrases that each include a different power of the same variable (s).

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Answer:

Step-by-step explanation:

y=4x+1

Answer:

The answer I came up with here brings to question how I solved it.  To double check the wording of the question though, the tangent to the curve is indeed perpendicular to that line and not parallel?

The answer I found is 5i√(1/6), which makes me think I made a mistake at one point.

Step-by-step explanation:

First we need to know the slope of the tangent at point p.  This is perpendicular to the slope of the given line.  So first, let's rearrange that line into the format y = sx + c:

\(2x - 5y + 3 = 0\\5y = 2x + 3\\y = \frac{2}{5}x + \frac{3}{5}\)

The line then has a slope of 2/5, meaning that a perpendicular slope would be -5/2.

Next, we can take the derivative of the curve:

\(y = (2x^3 - 9) / 10\\= x^3/5 - 9/10\\\frac{dy}{dx} = 3x^2/5\)

Finally, we match that perpendicular slope we found:

\(-5/2 = 3x^2 / 5\\-25 / 6 = x^2\\x = \sqrt{-25/6}\\x = 5i\sqrt{1/6}\\\)

The fact that I ended up with an imaginary number makes me think I hit an error there.  I suggest you double check this yourself.  I'm fairly certain that the logic here is correct.

To find the distance between two skew lines, we can use the formula:

d = |(P₁ - P₂) · n| / ||n||

where P₁ and P₂ are points on each line, n is the direction vector of one of the lines, · denotes the dot product, and ||n|| represents the magnitude of the direction vector.

Given the equations of the skew lines:

L₁: y - 1 = x - z

L₂: x = z + 3

Let's find two points on each line:

For L₁, we can choose P₁(0, 1, -1) and P₂(1, 2, 0).

For L₂, we can choose any two points, such as P₃(3, 0, 3) and P₄(3, 1, 4).

Now, we can find the direction vector n of L₁:

n = P₂ - P₁ = (1, 2, 0) - (0, 1, -1) = (1, 1, 1)

Next, we calculate the distance using the formula:

d = |(P₃ - P₁) · n| / ||n||

 = |(3, 0, 3) - (0, 1, -1)) · (1, 1, 1)| / ||(1, 1, 1)||

 = |(3, -1, 4) · (1, 1, 1)| / √(1² + 1² + 1²)

 = |3 - 1 + 4| / √3

 = 6 / √3

 = (6 / √3) * (√3 / √3)

 = 6√3 / 3

 = 2√3

Therefore, the distance between the skew lines is 2√3.

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The distance between two skew lines can be determined by finding the shortest distance between any two points on the lines. In this case, the two lines are given by the equations \(y - 19 = 0\) and \(x - 1 = z + 3\).

In the first paragraph, we can summarize the process of finding the distance between the skew lines given by the equations \(y - 19 = 0\) and \(x - 1 = z + 3\) as finding the shortest distance between any two points on the lines.

In the second paragraph, we can explain the steps involved in finding the distance between the skew lines. We start by selecting an arbitrary point on each line. Let's choose the points A(1, 19, 0) on the first line and B(4, 19, -3) on the second line. The distance between these two points can be calculated using the distance formula as \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}\). Substituting the coordinates of points A and B, we get \(\sqrt{(4 - 1)^2 + (19 - 19)^2 + (-3 - 0)^2}\), which simplifies to \(\sqrt{9}\) or 3. Therefore, the distance between the given skew lines is 3 units.

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Answer:

32n

Step-by-step explanation:

Product means to multiple

So “product of a number” is something times a variable, in this case I used “n” to represent “number” but you don’t have to use “n” if you don’t want to, you could other letters to represent the “number”. The “number” is unknown so that way it is a variable.

The “and 32” is what the “number” is multiple to, so the answer would be: 32n

Answer:

C and D

Step-by-step explanation:

I'm think that A and B are the answers

To find the number that, when added to 12, equals 13, we can subtract 12 from 13, which gives us 1. Therefore, the number that satisfies this condition is 1.

To solve the problem, we need to find a number that, when added to 12, results in 13. We can approach this by subtracting 12 from 13, which gives us 1. Thus, the number that completes the equation is 1.

Let's break it down step by step. We start with the equation "12 plus what number equals 13." Mathematically, we can express this as:

12 + x = 13,

where x represents the unknown number we're trying to find. To isolate x, we need to cancel out the 12 on the left side of the equation. We can achieve this by subtracting 12 from both sides:

12 + x - 12 = 13 - 12.

Simplifying, we have:

x = 1.

By subtracting 12 from 13, we find that x equals 1. This means that adding 1 to 12 will give us the desired result of 13. Thus, the number that, when added to 12, equals 13 is indeed 1.

In conclusion, the solution to the problem is that the number which, when added to 12, results in 13 is 1. This is obtained by subtracting 12 from 13, which gives us 1 as the missing number.

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Answer:

  yes

Step-by-step explanation:

The offered ordered pair is a solution if those x- and y-values satisfy both equations. Let's check:

  9x +y = 10

  9(1) +(1) = 9 +1 = 10 . . . . true

__

  6x +5y = 11

  6(1) +5(1) = 6 +5 = 11 . . . . true

__

The ordered pair (x, y) = (1, 1) satisfies both equations, so (1, 1) is a solution to this system.

\(\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}\)

1) Placing (1,1) in equation 9x + y = 10

\(:\implies\tt{9(1) + 1 = 10} \\ \\ :\implies\tt{9 + 1 = 10} \\ \\ :\implies\tt{10 = 10} \\ \\ :\implies\tt{lhs = rhs}\)

2) Placing (1,1) in equation 6x + 5y = 11

\(:\implies\tt{6(1) + 5(1) = 11} \\ \\ :\implies\tt{6 + 5 = 11} \\ \\ :\implies\tt{11 = 11} \\ \\ :\implies\tt{lhs = rhs}\)