Okay so, I have a crush and she likes me back. What should I do?

Is the relation a function:

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

Learn more about graphs at

https://brainly.com/question/19040584

#SPJ1

The monthly rate of increase was about 2.06 percent.

If participation in the program increased exponentially by 25 percent, this means that the number of participants in the program at the end of the year was 1.25 times the number of participants at the beginning of the year.

To find the monthly rate of increase, we can use the formula for exponential growth:

N = N0 x e^(rt)

where N is the final number of participants, N0 is the initial number of participants, e is the mathematical constant approximately equal to 2.71828, r is the monthly rate of increase (expressed as a decimal), and t is the time in months.

If we assume that the program started at the beginning of the year and ended at the end of the year, then t = 12 (12 months in a year). We also know that N = 1.25N0 (25% increase).

Substituting these values into the formula, we get:

1.25N0 = N0 x e^(r x 12)

Simplifying, we get:

1.25 = e^(12r)

Taking the natural logarithm of both sides, we get:

ln(1.25) = 12r

Solving for r, we get:

r = ln(1.25)/12

r ≈ 0.0206

Therefore, the monthly rate of increase, expressed as a percent, is

approximately:

r x 100% ≈ 2.06%

So the monthly rate of increase was about 2.06 percent.

for such more question on rate of increase

https://brainly.com/question/23377525

#SPJ11

The estimated value of the explanatory variable is not statistically significant at the 5%-level if a. the t-statistic is greater than 2.5.

The t-test is a hypothesis testing technique used to decide whether the estimated coefficient of a linear regression model is statistically significant or not. The t-value is used to measure the size of the difference between the estimated coefficient and the hypothesized value. When the t-value exceeds a critical value, such as 2.5, the estimated value of the explanatory variable is not significant at the 5%-level. It implies that the null hypothesis, which assumes that the explanatory variable's coefficient is zero, cannot be rejected.

The p-value is a measure of the probability of obtaining a more extreme value of the test statistic than the observed value if the null hypothesis is true. A small p-value implies that the null hypothesis should be rejected. When the p-value is less than 0.05, it means that the estimated value of the explanatory variable is significant at the 5%-level.

The confidence interval is a range of values that is expected to include the true value of the population parameter with a specified level of confidence. A 95% confidence interval means that the true value of the population parameter lies within the range 95% of the time. The 95% confidence interval does not contain zero implies that the estimated value of the explanatory variable is statistically significant at the 5%-level since it suggests that the population parameter is different from zero at the 5%-level. Conversely, if the 95% confidence interval contains zero, the estimated value of the explanatory variable is not statistically significant at the 5%-level since it means that the population parameter is not different from zero at the 5%-level. Therefore, it is essential to examine the t-statistic, p-value, and confidence interval while conducting hypothesis testing to make an informed decision.

To leran more about hypothesis testing, refer:-

https://brainly.com/question/17099835

#SPJ11

Answer: $4,813.24

Step-by-step explanation:

This requires the use of a future value formula because we are to find the value of an amount in future after compounding it over a certain period.

Future Value = Amount * (1 + rate) ^ number of years

= 2,000 * ( 1 + 5%)¹⁸

= $4,813.24

In 18 years, the $2,000 would have increased to $4,813.24.

Answer:

y= 35

Step-by-step explanation:

y directly proportional to x

where x= 2, y= 10

y=kx

10= k× 2

k= 10/2

k= 5

to find y when x is 7

y = kx

y = 5× 7

y= 35

An area of mathematics that studies how competing parties interact is known as "game theory."

Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.

Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.

The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.

Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.

Learn more about outcomes here:

https://brainly.com/question/32511612

#SPJ11

Nastya's annual payments on the loan will be approximately $7,350.68 (rounded to the nearest cent).

To find Jean's equity as a percent of the house value, we need to calculate the equity and divide it by the house value, then multiply by 100 to get the percentage.

Jean's equity is the difference between the house value and the mortgage amount. So, the equity is $792078.31 - $600,000 = $192,078.31.

To calculate the percentage, we divide the equity by the house value and multiply by 100: ($192,078.31 / $792078.31) * 100 = 24.26%.

Therefore, Jean's equity as a percent of the house value is 24.26%.

Now, let's move on to Nastya's question.

To calculate Nastya's annual payments on a fully amortizing loan, we need to use the formula for calculating the monthly payment:

P = r * PV / (1 - (1 + r)^(-n))

Where:
P = Monthly payment
r = Monthly interest rate (annual interest rate / 12)
PV = Present value of the loan
n = Total number of payments

Given:
PV = $622,422
Annual interest rate = 5.2%
n = 10 years

First, we need to convert the annual interest rate to a monthly interest rate: 5.2% / 12 = 0.43333%.

Next, we substitute the values into the formula and solve for P:

P = (0.0043333 * 622422) / (1 - (1 + 0.0043333)^(-10))

Using a calculator, we get P ≈ $7,350.68.

To learn more about annual payments

https://brainly.com/question/18958209

#SPJ11

The statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

The comparison test states that if 0 ≤ f(x) ≤ g(x) and the integral of g(x) dx diverges, then the integral of f(x) dx also diverges. However, the statement assumes that f(x) and g(x) are equal to zero, which means that 0 ≤ f(x) ≤ g(x) is not satisfied.

Additionally, the assumption that g(x) dx diverges does not necessarily imply that f(x) dx also diverges. For example, let g(x) = 1/x^2 and f(x) = 0 for all x. Then g(x) dx diverges, but f(x) dx converges to zero.

In conclusion, the statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

For more questions like Comparison test click the link below:

https://brainly.com/question/30761693

#SPJ11

Answer:

I do not agree with the student because there is no real solution. Solving the equation only gives possible solutions, but you must check them in the original equation. Checking the solution in the original equation shows that 4 is an extraneous solution.

Step-by-step explanation:

idk if that's the same question i had, but that was the answer for mine. hehehe good luck.

is that on edge?

That can be done by you only as you have attached no diagrams so I have provided the steps below

Well done you got the scale factor

Data that are left-skewed would include values that are unusually high.

A data is symmetric when it has a mirror image on both sides of the mean. For a symmetric data the mean = mode = median.

If the data is asymmetric, it can either be left-skewed or right-skewed. A left-skewed data has mots of its values greater than the mean. In this case the mean < median < mode. Left-skewed data mostly contains very less amount of values with smaller magnitudes.

Hence, data that are left-skewed would include values that are unusually high.

To learn more about left-skewed data sets visit the link given below:

https://brainly.com/question/3907939

#SBJ4

The cardioid is recognized as a particular instance of an epicycloid and is formed by (x2 + y2 + an x)2 = a2(x2 + y2).

A two-dimensional plane figure called a cardioid features a heart-shaped curvature. The Greek word "cardioid," which meaning "heart," is the source of the word "cardioid." Thus, it is referred to as a heart-shaped curve.

The polar pattern of a cardioid microphone gives it its name. It is classified as a directional microphone since only noises from the front and sides may be picked up by it, and the direction has an impact on the sound image that is recorded.

here the explanation:-

The equation for the heart is (x2 + (9/4)*(y2 + z2 -1)3 - (x2*(z3) -(9/200)*(y2*(z3)).

The cardioid is recognized as a particular instance of an epicycloid and is formed by (x2 + y2 + an x)2 = a2(x2 + y2).

To know more about cardioid visit :-

https://brainly.com/question/29556891

#SPJ1

Answer:

59.04

Step-by-step explanation:

If you were to make a right triangle, 15 would be the altitude (height), and 9 would be the base. You need the angle of elevation which is going the angle of the hypotenuse going upwards. (Bottom Left/Right Corner.) From that angle you need to solve for arctan (Used for solving the measure of angle.) Simply plug into your calculator arctan(15/9) to get the answer.

Answer:

A

Step-by-step explanation:

24/47

you have to added up 10 and 14

Answer:39.7

Step-by-step explanation:DUDE chilll I got you the answer is

The values are;

⇒ F ∩ H = Ф

⇒ F ∪ H = (- ∞, 7]

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

F and H are defined as;

F = {v | v < 4 }

H = {v | v ≥ 7 }

Now,

Since, F and H are defined as;

F = {v | v < 4 }

H = {v | v ≥ 7 }

Hence, The values are;

F ∩ H = {v | v < 4 } ∩  {v | v ≥ 7 }

         = Ф

And, F ∪ H = {v | v < 4 } ∪  {v | v ≥ 7 }

                 = (- ∞, 7]

Thus, The values are;

⇒ F ∩ H = Ф

⇒ F ∪ H = (- ∞, 7]

Learn more about the coordinate visit:

https://brainly.com/question/12959377

#SPJ1

b) It will take approximately 24.6 years to save $3,000 for your vacation by saving $100 each month with a 3% nominal interest rate compounded monthly.

c) equivalent effective interest rates are:

i. Semi-annually: 5.06%

ii. Quarterly: 5.11%

iii. Daily: 5.13%

iv. Continuously: 5.13%

EXPLANATION:

To calculate the time it will take for you to save $3,000 for your vacation, we can use the future value formula for monthly compounding:

\(Future Value = Principal * (1 + rate/n)^(n*time)\)

Where:

- Principal is the amount you save each month ($100)

- Rate is the nominal interest rate (3% or 0.03)

- n is the number of compounding periods per year (12 for monthly compounding)

- Time is the number of years we want to calculate

We need to solve for time. Let's substitute the given values into the formula:

\($3,000 = $100 * (1 + 0.03/12)^(12*time)Dividing both sides of the equation by $100:30 = (1.0025)^(12*time)\)

Taking the natural logarithm (ln) of both sides:

\(ln(30) = ln((1.0025)^(12*time))Using logarithmic properties (ln(a^b) = b * ln(a)):ln(30) = 12*time * ln(1.0025)\)

Solving for time:

\(time = ln(30) / (12 * ln(1.0025))\)

Using a calculator:

time ≈ 24.6

c)To calculate the equivalent effective interest rate for a nominal rate of 5% compounded at different intervals:

i. Semi-annually:

The effective interest rate for semi-annual compounding is calculated using the formula:

Effective Interest Rate = (1 + (nominal rate / number of compounding periods))^number of compounding periods - 1

For semi-annual compounding:

\(Effective Interest Rate = (1 + (0.05 / 2))^2 - 1\)

Calculating:

Effective Interest Rate ≈ 0.050625 or 5.06%

ii. Quarterly:

The effective interest rate for quarterly compounding is calculated similarly:

\(Effective Interest Rate = (1 + (0.05 / 4))^4 - 1\)

Calculating:

Effective Interest Rate ≈ 0.051136 or 5.11%

iii. Daily:

The effective interest rate for daily compounding is calculated using the formula:

Effective Interest Rate = (1 + (nominal rate / number of compounding periods))^number of compounding periods - 1

Since there are approximately 365 days in a year:

\(Effective Interest Rate = (1 + (0.05 / 365))^365 - 1\)

Calculating:

Effective Interest Rate ≈ 0.051267 or 5.13%

iv. Continuously:

The effective interest rate for continuous compounding is calculated using the formula:

\(Effective Interest Rate = e^(nominal rate) - 1\)

For a nominal rate of 5%:

\(Effective Interest Rate = e^(0.05) - 1\)

Calculating:

Effective Interest Rate ≈ 0.05127 or 5.13%

Learn more about interest rate :

https://brainly.com/question/29415701

#SPJ11

Answer:

5.25 feets

Step-by-step explanation:

Given that:

Height of Salem Sue = 38 feets

Height of Salem Sue's shadow = 57 feets long

Height of child standing next to the statue = 3.5 foot tall

Length of the child's shadow =?

Let lenght of child's shadow = s

IF;

38 Feets tall = 57 feets lenght

3.5 feets tall = s feets long

Cross multiply :

38 * s = 57 * 3.5

38s = 199.5

38s / 38 = 199.5 /38

s = 5.25

Hence, length of the child's shadow will be 5.25 feets long

Answer:

V = 1,500 \(cm^{3}\)

Step-by-step explanation:

First off, we have to identify the formula in which we are using:

\(V = \frac{1}{2} a*c*h\)

Where:

a = 12

c = 10

h = 25

Next, plug in the numbers:

\(V=\frac{1}{2} (12)(10)(25)\)

Now, calculate:

V = 1500 cubic centimeters

The final coordinates of the figure, following the reflection and translation are;

A''(-2, -1)

B''(-3, 1)

C''(2, 2)

A translation transformation is a geometric transformation that moves every point of a shape or object by the same distance in the same direction.

The coordinates of the vertices of the triangle are;

(-5, -1), (-6, -3), and (-1, -4)

1) The first transformation is a reflection across the x-axis

The coordinate of the point (x, y) following a reflection across the x-axis =  The point (x, -y)

Therefore, the coordinate of the image of the triangle following the reflection across the x-axis are the points;

(-5, -1) ⇒ (-5, 1)

(-6, -3) ⇒ (-6, 3)

(-1, -4) ⇒ (-1, 4)

The coordinates of the image following the reflection are therefore;

A'(-5, 1), B'(-6, 3), C'(-1, 4)

b. The coordinates of the image of the reflected triangle following a translation of <3, -2> are;

A'(-5, 1) ⇒ A''(-5 + 3, 1 - 2) = A''(-2, -1)

B'(-6, 3) ⇒ B''(-6 + 3, 3 - 2) = B''(-3, 1)

C'(-1, 4) ⇒ C''(-1 + 3, 4 - 2) = C''(2, 2)

Learn more on translation transformation here: https://brainly.com/question/29080489

#SPJ1

Answer:

B

Step-by-step explanation:

So we have the system of equations:

\(x-2y=3\\2x-3y=9\)

To solve, we can use the substitution method. First, add 2y to both sides in the first equation:

\(x=3+2y\)

Now, substitute this into the secon equation:

\(2(3+2y)-3y=9\)

Distribute the 2:

\(6+4y-3y=9\)

Combine like terms:

\(6+y=9\)

Subtract 6 from both sides:

\(y=3\)

So, the value of y is 3.

Substitute this back into the original equation to find x. Thus:

\(x=3+2(3)\)

Multiply:

\(x=3+6\)

Add:

\(x=9\)

So, our answer is (9,3)

And we're done!

Answer:

The z-score for this data point is -1.5

Step-by-step explanation:

Mean = M = 150

Standard Deviation = S = 20

Value = x = 120

We find the z value,

\(z = (x-M)/S\\z = (120 - 150)/20\\z = (-30)/20\\z=-3/2\\z=-1.5\)

Hence the z value is z = -1.5

In ANOVA, if the observed F equals or exceeds the critical F, the experimental outcome is considered statistically significant.

Analysis of Variance (ANOVA) is a statistical method used to compare the means of two or more groups. The F-statistic is the test statistic used in ANOVA. When conducting an ANOVA test, we compare the observed F-value to the critical F-value to determine the significance of the results.

Step 1: Calculate the observed F-value using the given data.

Step 2: Determine the critical F-value using the F-distribution table, taking into account the degrees of freedom and the desired significance level (usually set at 0.05).

Step 3: Compare the observed F-value to the critical F-value.

If the observed F-value equals or exceeds the critical F-value, it indicates that there is a statistically significant difference between the group means, and we reject the null hypothesis. In other words, the experimental outcome suggests that at least one of the group means is significantly different from the others.

To know more about statistically  visit:

brainly.com/question/31577270

#SPJ11

Answer: c. a = 2y and b = -3

Step-by-step explanation:

To find the values of a and b in this division problem, we need to perform polynomial division. Starting with the dividend, 8y^2 – 12y + 4, we divide the leading term of the dividend, 8y^2, by the leading term of the divisor, 4y. This gives a quotient of 2y.

Next, we multiply the divisor, 4y, by 2y and subtract it from the dividend, 8y^2 – 12y + 4. This gives a remainder of -3.

So, in this division problem, the values of a and b are a = 2y and b = -3.

Answer:

4

Step-by-step explanation:

2x+ 4y -2x-2-4y+6

2x-2x+4y-4y-2+6

0+0+4

Answer:

(-1,-1)

Step-by-step explanation:

First thing to consider: the expression is y<-2+3 not y<-2x+3

When plotting this on a graph a possible answer is (-1,-1)

Step-by-step explanation:

Step 1: The factors of -60 that add up to -11 are -15 and 4.

Step 2:

\(( 6{x}^{2} - 15x)( 4x - 10)\)

Step 3:

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

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