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Processing Questions:​

The equation y has two outputs for each input of x, which proves that y²= 4x+16 is not a function.

A function is a relation between two sets of values such that each element of the first set is associated with a unique element of the second set.

In this case, y²= 4x+16 is an equation that is not a function as it does not satisfy the definition of a function.

It does not meet the criteria of having a unique output for each input. For example, when x = 0, the equation yields y²= 16.

Since y can be both positive and negative, there are two outputs for the same input. This violates the definition of a function and therefore this equation is not a function.

This can be proven mathematically by rearranging the equation to solve for y.

y²= 4x+16

y² -4x= 16

y² -4x+4= 16+4

(y-2)²= 20

y= ±√20 + 2

This equation shows that y has two outputs for each input of x, which proves that y²= 4x+16 is not a function.

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Answer:

The answer is B

Answer:

About 54.16 percent

Step-by-step explanation:

To turn a fraction into a percentage you must divide the numerator by the denominator.

Ex: 1/2 the percentage is  0.50 percent so its 50%

We can be 99.7% confident that the true proportion of individuals with schizophrenia in the population lies between 0.44 and 0.62.

In our schizophrenia model, the rough 99.7% certainty stretch can be determined utilizing the point gauge and standard blunder of the extent. With a point gauge of 0.53 and a standard blunder of 0.03, we can involve the equation for a certainty stretch, which is point gauge ± z* (standard mistake), where z* is the z-score related with the ideal certainty level.

For a 99.7% certainty stretch, the z-score is roughly 3. Consequently, the certainty span would be:

0.53 ± 3(0.03) = (0.44, 0.62)

This implies that we can be 99.7% certain that the genuine extent of people with schizophrenia in the populace lies somewhere in the range of 0.44 and 0.62.

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The employee's yearly salary is calculated as $37,440 using the arithmetic operations.  

The employee earns $18 per hour and works 40 hours per week. To calculate the weekly salary, we multiply the hourly wage by the number of hours worked:

Weekly salary = Hourly wage × Hours worked per week

Weekly salary = $18/hour × 40 hours/week = $720

Next, to calculate the yearly salary, we use the multiplication operation the weekly salary by the number of weeks in a year:

Yearly salary = Weekly salary × Weeks in a year

Yearly salary = $720/week × 52 weeks/year = $37,440

Therefore, the employee's yearly salary is $37,440. This calculation assumes a 40-hour work week and 52 weeks in a year. It's important to note that this calculation does not account for overtime pay or any other additional benefits or deductions that may affect the employee's total annual income.

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Answer:

x = -5

Step-by-step explanation:

I) Substitute:

3x + 2y = -5

3x + 2(5) = -5

3x + 10 = -5

II) Solve:

3x + 10 = -5

3x = -15 (Subtract 10 from both sides)

x = -5 (Divide both sides by 3)

Answer:

x = -5

y = 5

Step-by-step explanation:

We are given the system of equations :

3x + 2y = -5

y = 5

This can be solved through the process of substitution, mainly because y in the second equation already has a value in of its own and can be replaced with the y in the first equation. Therefore :

3x + 2y = -5

y = 5

3x + 2(5) = -5

3x + 10 = -5

Solve for x, first by subtracting ten by both sides :

3x = -15

Divide 3 by both sides to isolate x :

x = -5

Now that we have x, we have solved our system of equations, but let's prove it first.

x = -5

y = 5

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

-15 + 10 = -5

Therefore, our two variables are x = -5 and y = 5

Answer:

The angle is determined by dividing 360 by the number of vertexes that it took to complete the circle. The tangent of the 100th triangle would be the same respectively.

Step-by-step explanation:

I remember learning this in kindergarten.

The area of a circle can be represented by the equation A = πr^2, where r is the radius. If the area of a circle is 4π cm^2, then we can solve for the radius, r:

4π = πr^2

Dividing both sides by π:

4 = r^2

Taking the square root of both sides:

r = 2 cm

The circumference of a circle can be represented by the equation C = 2πr, where r is the radius. Using the value of r we found earlier, we can now find the circumference of the circle:

C = 2π(2)

C = 4π cm

The circumference of the circle is 4π centimeters.

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Answer:

Yup

Step-by-step explanation:

Answer:

C(2, 5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then midpoint is

( \(\frac{x_{1}+x_{2} }{2}\), \(\frac{y_{1}+y_{2} }{2}\) )

Here (x₁, y₁ ) = A(- 4, 8) and (x₂, y₂ ) = B(8, 2) , then

midpoint = ( \(\frac{-4+8}{2}\), \(\frac{8+2}{2}\) ) = ( \(\frac{4}{2}\), \(\frac{10}{2}\) ) = C(2, 5 )

Answer:

I think I Will purchase a gold coin because even if it is not in use at the time,you can always sell the gold to be refined into something else

Answer:

I'm also stuck on this question, so this may not be correct. I believe that coin A would be the most valuable long term, since it has the highest growth rate. Otherwise, obviously coin C has the highest value. It still however, doesn't increase as much as coins A and B.

If you got this answer, please help me out, I'm stuck. I hope I was able to help.

Answer:

3 x 8= 24

Step-by-step explanation:

Answer: (0.5, 8.5)

Step-by-step explanation: (9+-8/2) is 1/2 and (7 + 10/ 2) is 8.5. After plugging it into the equation, I checked with a graphing site.

The total number of students will be 49 in the survey.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that five out of every seven students polled own a cell phone. The number of students who have a cell phone versus those who do not have a cell phone is 21.

Let the number of the students who have a cell phone be x and those who do not have a cell phone be y.

Make the equations,

x - y = 21

x = y + 21

Another expression is,

x / ( x + y ) = 5 / 7

Substitute the value of x in the equation,

x / ( x + y ) = 5 / 7

( y + 21 ) / ( y + 21 + y ) = 5 / 7

7 ( y + 21 ) = 5 ( 2y + 21 )

7y + 147 = 10y + 105

3y = 42

y = 14

The value of x will be,

x = y + 21

x = 14 + 21 = 35

The total number of students will be,

T = x + y = 35 + 14

T = 49

Therefore, the total number of students will be 49.

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The triangle congruency theorem which can be used to prove

â–³ ≅ â–³onp is  ASA (angle  side angle)

Let the triangles be ONP and GHL

The congruence theorem, which will demonstrate that "GHL" and "ONP ," are congruent is to be discovered.

As can be seen, side lengths GH of GHL and ON of ONP are equal.

Furthermore, we are informed that mONP = mHKJ.

Since line segments GK and JL connect to produce them, we can see that GHL is the vertical opposite angle of ONP . Therefore, using the vertical angles theorem, mONP  congruence mKHJ.

We can see that both triangles contain two congruent angles and one congruent included side; as a result,

GHL ONP by ASA congruence.

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Answer:

A) f(x) = x^2 +8(x+2)

Step-by-step explanation:

We will start by putting y=0

0 = x^2+8(x+2) -Apply distributive property

0 = x^2+8x+16

0=(x+4)(x+4)

0=x+4, 0=x+4

x=-4

There is only one zero, and that is x=-4

Brainiest would be appreciated.

First one

Because

If we solve for x

Option A

Tom baked 47 cookies, and Tres baked 116 cookies.

Let's assume Tom baked x cookies. According to the information given, Tres baked 5 less than 3 times as many as Tom, which can be expressed as 3x - 5.

We know that the total number of cookies baked is 163, so we can write the equation:

x + (3x - 5) = 163

Simplifying the equation:

4x - 5 = 163

Adding 5 to both sides:

4x = 168

Dividing both sides by 4:

x = 42

Therefore, Tom baked 42 cookies. Substituting this value back into the expression for Tres's cookies, we get:

3x - 5 = 3(42) - 5 = 126 - 5 = 121

So, Tres baked 121 cookies.

In conclusion, Tom baked 42 cookies, and Tres baked 121 cookies to make a total of 163 cookies.

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The probability that the gambler has strictly more than $32 after playing the game five times is 68.75%.

Probability is a branch of mathematics that deals with the likelihood of an event occurring. In this problem, we are dealing with a gambler who is playing a game with equal probability of doubling or reducing their stake to half.

The gambler's initial stake is $32. Let us consider the possible outcomes after one play of the game. The stake can either double to $64 or reduce to $16, each with equal probability. If the stake doubles, the gambler has more than their initial stake. If the stake is reduced to half, the gambler has less than their initial stake.

Now, let us consider the possible outcomes after two plays of the game. There are four possible outcomes:

(1) the stake doubles twice and the gambler has

=> $64 * 2 = $128,

(2) the stake doubles then reduces to half and the gambler has

=> $32 * 2 * 0.5 = $32,

(3) the stake reduces to half then doubles and the gambler has

=> $32 * 0.5 * 2 = $32,

(4) the stake reduces to half twice and the gambler has

=> $32 * 0.5 * 0.5 = $8.

We can represent these outcomes using a tree diagram. Each branch represents a possible outcome, and the probability of that outcome is written next to the branch.

After five plays of the game, there are 32 possible outcomes.

We can calculate the probability of the gambler having more than their initial stake by adding up the probabilities of all the outcomes where the gambler has more than $32. This turns out to be 0.6875 or 68.75%.

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The side of the square equals half the minor axis of the ellipse.

To show that the side of the square is half the minor axis of the ellipse, we must prove that the angles of the ellipses and the squares are congruent. To do this, we must first draw in the diagonals of the square, which will form two additional isosceles triangles.

Since the ellipses are perpendicular, the angles of the ellipses and the squares will be the same. Since the angles of the isosceles triangles are equal, the side of the square must be equal to half of the minor axis of the ellipse. Therefore, the side of the square is equal to half of the minor axis of the ellipse.

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Answer:

One solution

Step-by-step explanation:

Not sure if you wanted an explanation...

Simplified:

(y=24h-15)

When graphed it crosses the x-axis once, so this means it has one solution.

The present value that must be invested to get $19,000 after 4 years at an interest rate of 11.5% is $13,013.70

What is simple interest?

The simple interest of an investment is determined as the principal investment, also known as the present value multiplied by the interest rate and the number of years, which means that the future value can be modeled as shown below:

A=PRT+P

A=P(RT+1)

A=future value=$19,000

P=present value=unknown

R=rate of return=11.5%

T=number of years that investment lasted=4

$19,000=P*(11.5%*4+1)

$19,000=P(0.46+1)

$19,000=P*1.46

P=$19000/1.46

P=$13,013.70

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The area of the hexagonal head using each persons (Andre & Lin) method is;

Total Area using Lin's method = 93.6 ft²

Total Area using Andre's method = 93.6 ft²

From the image, a side of the hexagon is 6 inches. This means that all sides of each triangle will be also 6 inches.

Formula for area of a triangle = ¹/₂(base x height)

We see a perpendicular distance spanning from one end of the hexagon to the other end passing through the centre of the hexagon. It passes 2 triangles.

Thus, the height of one triangle = 10.4/2 ft = 5.2 ft

Area of one triangle =  ¹/₂ × 6 × 5.2 = 15.6 ft²

Thus, Area of hexagon = area of 6 triangles = 6 × 15.6 = 93.6 ft²

Let us first find the area of the rectangle;

Area of rectangle = length × width

Area of rectangle = 10.4 × 6 = 62.4 ft²

For the rectangle, we know three sides now which are;

10.4 ft, 6 ft, 6 ft but we don't know the height and as such we will use heron's formula to get the area of one triangle;

A = √s((s - a)(s - b)(s - c))

where; a,b and c are the 3 sides of the triangle

s = (a + b + c)/2

Thus; s = (10.4 + 6 + 6)/2 = 11.2 ft

Thus;

A = √11.2((11.2 - 10.4)(11.2 - 6)(11.2 - 6))

A = 15.6 ft²

There are 2 triangles and so Area of 2 triangles =2 × 15.6 = 31.2 ft²

Thus;

Total Area = 62.4 ft² + 31.2 ft²

Total Area = 93.6 ft²

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The student's grade on the examination was transformed to a z-value of 0.67, indicating that she scored approximately in the top one-third of the distribution.

In a normal distribution, z-scores represent the number of standard deviations a particular value is from the mean. A z-score of 0.67 corresponds to a location that is about two-thirds of a standard deviation above the mean. Since the normal distribution is symmetric, we can infer that the student's score is higher than about two-thirds of the scores in the distribution.

To understand this further, let's consider the properties of the normal distribution. In a standard normal distribution, which has a mean of 0 and a standard deviation of 1, the area under the curve between the mean and a z-score of 0.67 is approximately one-third. This means that the student's score falls within the top one-third of the distribution. However, it's important to note that without knowing the exact details of the distribution of scores and its mean and standard deviation, we cannot provide precise information about the student's ranking among her peers. Nonetheless, based on the given z-value, we can conclude that she performed quite well on the examination.

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Based on the equation 3, the data on resistivity agrees well with the given values. However, there may be some sources of experimental error that can affect the accuracy of the data. These sources of error which include Measurement, Human, Random errors.

1. Measurement errors: These can occur due to the inaccuracy of the measuring instruments used in the experiment. For example, if the instrument used to measure the slope is not calibrated correctly, it can lead to inaccurate results.

2. Human errors: These can occur due to the mistakes made by the experimenter. For example, if the experimenter does not read the measurements correctly, it can lead to inaccurate results.

3. Random errors: These can occur due to the uncontrollable factors that can affect the experiment. For example, if there is a change in temperature during the experiment, it can affect the resistivity of the material.

Overall, it is important to consider these sources of experimental error in order to obtain accurate data on resistivity.

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The function equation would be represented as a piecewise function:

f(x) =

  2x      if 0 ≤ x ≤ 2

  223    if 2 < x ≤ 5

Based on the given conditions, we have two separate ranges for the variable x:

For the range 0 ≤ x ≤ 2, the function equation can be represented as:

f(x) = 2x

For the range 2 < x ≤ 5, the function equation can be represented as:

f(x) = 223

Therefore, the function equation would be represented as a piecewise function:

f(x) =

  2x      if 0 ≤ x ≤ 2

  223    if 2 < x ≤ 5

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a) Ratio analysis is a financial analysis tool that helps to evaluate the financial performance and health of a business by comparing different financial figures

b) There are three categories of ratios in ratio analysis: liquidity ratios, profitability ratios, and solvency ratios.

c) Ratio analysis is important because it helps to provide a quick snapshot of a company's financial health and performance.

Ratio analysis is a financial analysis tool that helps to evaluate the financial performance and health of a business by comparing different financial figures. It involves calculating and interpreting various ratios that provide insight into the financial position, profitability, and liquidity of a company.

There are three categories of ratios in ratio analysis

Liquidity ratios: These ratios help to determine a company's ability to meet its short-term financial obligations. Examples include the current ratio and the quick ratio.

Profitability ratios: These ratios help to evaluate a company's ability to generate profit in relation to its revenue, assets, and equity. Examples include the gross profit margin, net profit margin, and return on assets.

Solvency ratios: These ratios help to assess a company's ability to meet its long-term financial obligations. Examples include the debt-to-equity ratio and the interest coverage ratio.

Ratio analysis is important because it helps to provide a quick snapshot of a company's financial health and performance. It is useful for investors, lenders, and other stakeholders in making informed decisions about investing in or lending to a company.

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Answer:

Option a 340 cm²

Area= bxh

20x17=340 cm²

Answer:

$8.76

Step-by-step explanation:

$26.28 / 3 = $8.76 per pizza