Which one of thses is a function cuz IONO!!!

In order for f(x) to be a linear function, determine the value of k in the data set.

x = {-7, -2, 2, 5}

f(x) = {-15, k, 3, 9}

The value of k is {-5}.

Given that to find the value of k in the data set such that the data set represents a linear function.

Linear Function is a straight line on the coordinate plane is represented by a linear function. The formula for a linear function is f(x) = mx + b, where m and b are real values.

Here, f(x) or y is the dependent variable, m is a slope of the line, x is the independent variable and b is the y-intercept.

Here,(x,f(x)) are {(-7,-15),(-2,k),(2,3),(5,9)}

The slope of the function,

(x, f(x)) = (2,3) and (5,9)

Slope formula is m=\(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\).

Slope m= \(\frac{9-3 }{5-2}\)

Slope m=\(\frac{6}{3}\)

Slope m=2.

Using the point slope form, determine the linear function's equation.

\(y-y_{1} =m(x-x_{1})\)

Here, \((x_{1},y_{1})=(-7,-15)\) and m=2

We get

y + 15 = 2 (x + 7)

y = 2x - 1

Now at x = -2 and f(x) = k

k = 2(-2) - 1

k = -4-1

k=-5

Therefore, the value of k is -5.

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We have the following table:

x -3 -2 -1 0 1 2 3

f(x) 2 3 6 3 -2 -0.5 1.25

f(2) - f(0) = 6 - 3 = 3

f(-3) + f(1) - f(0) = 2 + (-2) - 3 = -3

(f(3) + f(2)) / 2 = (1.25 + (-0.5)) / 2 = 0.375

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Answer:

200

Step-by-step explanation:

Answer:

time = 70 minutes

ANSWER

• 60 feet

• The point is ,(60, 1)

EXPLANATION

As said, x is depth in feet, and f(x) represents the percentage of surface sunlight that reaches a depth of x feet. We have to find the value of x for which f(x) = 1,

Divide both sides by 16,

Take logarithm to both sides to apply the rule of the logarithm of power on the right side,

Divide both sides by log(0.955),

In the graph this is,

(a) The monthly payment for a 36-month plan is $704.41, and for a 60-month plan is $488.08.

(b) The interest charges for the 36-month plan are $1,459.07, and for the 60-month plan are $3,369.10.

For a)

To calculate the monthly payment for a car loan, we need to use the formula for monthly payments:

M = \(P[r(1+r)^n / ((1+r)^n - 1)]\)

where M is the monthly payment, P is the principal (the loan amount), r is the monthly interest rate (the annual interest rate divided by 12), and n is the number of months over which the loan is to be repaid.

For the 36-month plan, the principal is 75% of $28,000, or $21,000. The monthly interest rate is 6% / 12, or 0.005. The number of months is 36. Plugging in these values, we get:

M = $\(21,000[0.005(1+0.005)^{36} / ((1+0.005)^{36} - 1)]\) = $704.41

For the 60-month plan, the principal, monthly interest rate, and a number of months are the same, but we change the number of months to 60:

M = $21,000[0.005\((1+0.005)^{60\) / (\((1+0.005)^{60\) - 1)] = $488.08

Therefore, the monthly payment for a 36-month plan is $704.41, and for a 60-month program is $488.08.

For b)

To calculate the total interest charges for the loan, we need to subtract the principal (the amount of the loan) from the total amount paid and round to the nearest cent:

For the 36-month plan, the total amount paid is $25,459.07 (36 x $704.41), so the interest charges are:

$25,459.07 - $21,000 = $4,459.07, rounded to $1,459.07

For the 60-month plan, the total amount paid is $29,284.80 (60 x $488.08), so the interest charges are:

$29,284.80 - $21,000 = $8,284.80, rounded to $3,369.10

Therefore, the interest charges for the 36-month plan are $1,459.07, and the 60-month plan are $3,369.10.

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In linear equation , height of the statue = 13.18 m

What in mathematics is a linear equation?

In ΔDEC

   tan θ = perpendicular / base

             = ED/DC

    tanθ  = 1.5/1.2

   θ  = tan⁻¹ ( 1.5/1.2 )

   θ =  tan⁻¹ ( 1.25 )

   θ  = 51. 3401°

So, In Δ ABC

   Sin θ   = perpendicular / hypotenuse  = AB/AC

 Sin  51. 3401° = x/16.8

  x =  Sin 51. 3401° ×  16.8

 x = .780867809 × 16.8

x  = 13.1185792

∴ height of the statue = 13.18 m

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Answer: 59.2 seconds

Step-by-step explanation:

The single Trigonometric function is √2/2.

Trigonometric Function:

In mathematics, trigonometric functions (also called circular functions, trigonometric functions, angular functions) are real functions that relate the angles of a right-angled triangle to the ratio of the lengths of its two sides. They are widely used in all geometry-related sciences such as navigation, solid mechanics, celestial mechanics, and geodesy. They are one of the simplest periodic functions and are often used to study periodic phenomena using Fourier analysis.

The most commonly used trigonometric functions in modern mathematics are sine, cosine, and tangent. Their reciprocals are cosecane, secane, and cotangent, respectively, and are seldom used. Each of these six trigonometric functions has a corresponding inverse and a hyperbolic analogue.

According to the question:

Following are the solution to the given expression:

Given:

0 < x < π/2

\(\frac{sin \frac{x}{2} + cos \frac{x}{2} }{1-cos \frac{x}{2} }\)

To find:

value=?

Solution:

0 < x < π/2

\(\frac{sin \frac{x}{2} + cos \frac{x}{2} }{1-cos \frac{x}{2} }\)

Now,

Let x = π/2

\(\frac{sin \frac{x}{2} + cos \frac{x}{2} }{1-cos \frac{x}{2} }\)

\(\frac{\frac{1}{\sqrt{2} * 1} }{1-0}\)

\(\frac{1}{\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2} }\)

\(\frac{\sqrt{2} }{2}\)

Therefore, the answer is \(\frac{\sqrt{2} }{2}\).

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No, there is only one outlier at 58 minutes.

An observation that differs abnormally from other values in a population-based random sample is referred to as an outlier. In a way, this definition defers to the analyst's (or a consensus process') judgment as to what constitutes aberrant behavior. It is vital to define typical observations before distinguishing aberrant ones.

A data point is considered an outlier if it is more than 1.5 times the IQR below the first quartile or more than 1.5 times the IQR above the third quartile, according to the general criterion for utilizing it to compute outliers. The first and third quartile percentiles must be known in order to compute the IQR.

The time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list.

9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58

One of the students who completed the puzzle claimed that there were two outliers in the data set. Based on the 1.5×IQR rule for outliers, is there evidence to support the student's claim?

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Answer:

10 hours

Step-by-step explanation:

They will both be at 90

Answer: 10 hours

Step-by-step explanation:

6x + 30 = 9x

3x = 30

x = 10

We have the following function given:

We want to apply a dilation with a scale factor k centered at the origin

Assuming that the scale factor is k, then we just need to do the following :

And with this we preserve the condition of centered at the origin and with the dilation factor

Answer:to answer this question you have to look at what the relationship is between tones of sugar and the equation C(n) = 6,500 + 225n. The question gave you a hint in parenthesis in the form of (n) tons. This statement means that the amount of sugar is n so for question 1 the 13 tons is the n value.

Q1:

C(13) = 6,500 + 225*13

C(13) = 6,500 + 2,925

C(13) = 9,425

so what does the 9,425 mean? This is the cost to transport 13 tons of sugar.

Q2:

so this part n is unknown and we are given the C(n) number.

11,450 = 6,500 + 225n

subtract the 6500 from both sides

11,450 - 6,500 = 225n

evaluate

4,950 = 225n

I don't like the n on the right side so I am going to rewrite the equation

225n = 4,950

divide by 225

n = 4,950/225

evaluate

n = 22

So this result means that the company would transport 22 tones of sugar.

Have a great day!

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The graph has a line with a slope of 1/2 beginning at the origin and extending as far as you like into the first quadrant.

Answer:

rational number

Step-by-step explanation:

5.6213 is the rational number

The correct option is (A) 55.8093 (approximately). i.e The value of f(5) = 55.8093

Given that a differentiable function f(1) = π, and f'x = √(x³) = 6.

To find the value of f(5).

As we know, If f(x) is differentiable at x = a, then f(x) is continuous at x = a.

And, f'(x) = (dy/dx) is the derivative of f(x) at x = a.

Then we have to integrate f'(x) to get f(x).

So we have,f'(x) = √(x³)   ------(1)

Integrating both sides with respect to x, we get,

f(x) = ∫ f'(x) dx

= ∫√(x³) dx

= ∫ x⁽³/²⁾ dx

=(2/5) x⁽⁵/²⁾ + C, where C is a constant of integration.

Using the given condition f(1) = π, we get,

π = f(1) = (2/5) * 1^(5/2) + C or

C = π - (2/5).

Therefore, f(x) = (2/5) x⁽⁵/²⁾ + π - (2/5) = (2/5) (x⁽⁵/²⁾ - 1) + π.

Now putting the value of x = 5, we get,

f(5) = (2/5) (5⁽⁵/²⁾) - 1) + π= 55.8093 (approximately).

Hence, the value of f(5) is 55.8093 (approximately).

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Answer:

Step-by-step explanation:

Answer:

\(x=-9\)

Step-by-step explanation:

\(5x+12=-33\)

Subtract 12 from both sides. The left side cancels:

\((5x+12)-12=(-33)-12\\5x=-45\)

Divide both sides by 5. The left side cancels:

\((5x)/5=(-45)/5\\x=-9\)

The value of x is -9.

Answer:

3x + 4 = 5x − 10

Step-by-step explanation: i took the test :)

Answer:

6+1.25t

Step-by-step explanation:

W(in the 1st month)=6+1.25

W(in the 2nd month)=6+1.25+1.25

W(in the 3rd month)=6+1.25+1.25+1.25

W(in the t months)=6+t(1.25)

Answer:

A (0,6)  B (6, 1)  C (2,2)

Step-by-step explanation:

A (4, 4)

  [-4, 2]

Subtract 4 - 4 = 0 and then add 4+2 since both of them are positive. Do it for all of the coordinates

Image Coordinates:

A----->A¹(0,6)

B----->B¹(2,3)

C----->C¹(-2,4)

Answer:

27, 28, 29

Step-by-step explanation:

If you divide 84 by 3, the quotient will be in the middle of the three integers. We get 28 from dividing 84 by 3, therefore our string of numbers are 27, 28, and 29.

Answer:

14.8 or round up to 15 burgers

Step-by-step explanation:

Answer:

x=12.9444444

Step-by-step explanation:

Answer:

x=12.94

Step-by-step explanation:

In a:  Type 1 error = 0.05, In b: A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.  In C: Type 1 error

a) Type 1 error = 0.05

b) When you perform a hypothesis test in statistics, a p-value helps you determine the significance of your results. ... The p-value is a number between 0 and 1 and interpreted in the following way: A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.

0.03 < 0.05

c) Type I and type II errors. ... In statistical hypothesis testing, a type I error is the rejection of a true null hypothesis (also known as a "false positive" finding), while a type II error is failing to reject a false null hypothesis (also known as a "false negative" finding). so Type 1 error

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The probability that the disc drawn out is not red is 11/20 or 0.55.

The Probability of an event is the fraction used to determine how likely is an event to occur. The formula used is:

The Probability of an event = Number of favorable outcomes/Total number of outcomes.

We are informed that Alison has 6 yellow discs, 5 blue discs, and 9 red discs. These discs are placed in a bag and one disc is drawn out at random. We are asked what is the probability that the disc is not red.

We know that the total probability of any event = 1.

Suppose the Probability that the disc drawn out is red = x.

∴ The probability that the disc drawn out is not red = 1 - x.

So, we calculate the Probability that the disc drawn out is red,

P(disc drawn is red) = Number of red discs/Total discs = 9/20

∴ The probability that the disc drawn out is not red

= 1 - P(disc drawn is red) = 1 - 9/20 = 11/20

∴ The probability that the disc drawn out is not red is 11/20 or 0.55.

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The y-intercept of the line of fit is 80, which means that a student who studies for 0 hours is predicted to earn 80% on the test.

This means that even if a student does not study at all, they are predicted to earn a grade of 80% on the test based on the relationship between the amount of time spent studying and the grades earned on the test. This y-intercept value is also the predicted grade if the student did not study at all.

However, it is important to note that this prediction is based solely on the linear relationship observed in the given data and may not necessarily hold true for all cases or situations.

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The probability that each bill drawn from Ben's wallet will be worth less than $10 is 2/21.

When Ben reaches into his wallet without looking and takes two bills out, we need to determine the probability that both bills will be worth less than $10.

To calculate this probability, we consider the total number of bills worth less than $10 in Ben's wallet, which is 5. The total number of bills in his wallet is 6, as there are two $20 bills, one $10 bill, and two $5 bills, in addition to the $1 bill.

For the first bill, the probability of selecting a bill worth less than $10 is 5/15, as there are 5 bills worth less than $10 out of the total 15 bills. After selecting the first bill, there are 14 bills left in the wallet.

For the second bill, the probability of selecting a bill worth less than $10 depends on the outcome of the first selection. Since one bill has already been drawn, there are now 4 bills worth less than $10 remaining out of the 14 bills in total.

To calculate the probability of both events occurring, we multiply the probabilities together: (5/15) * (4/14) = 2/21.

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