What are the x and the y in this function

Answer:

r = 3.75

Step-by-step explanation:

Using Pythagoras' identity in the right triangle ABC

AC² = BC² + AB²

(r + 6)² = r² + 9²

r² + 12r + 36 = r² + 81 ( subtract r² from both sides )

12r + 36 = 81 ( subtract 36 from both sides )

12r = 45 ( divide both sides by 12 )

r = 3.75

Answer:

-40 1/4

Step-by-step explanation:

Answer: -40 1/4

Step-by-step explanation:

Answer:

\(\frac{4+16a^3+23a^3}{a^2}\)

Step-by-step explanation:

Given

\(1/a^2-3a+2 + 1/a^2-5a+6 + 2/a^2-8a+15\)

Required

Simplify

\(1/a^2-3a+2 + 1/a^2-5a+6 + 2/a^2-8a+15\)

Collect Like Terms

\(1/a^2 + 1/a^2 + 2/a^2-3a-5a-8a+2+6+15\)

\(1/a^2 + 1/a^2 + 2/a^2-16a+23\)

Add Fractions:

\(\frac{1+1+2}{a^2} + 16a + 23\)

\(\frac{4}{a^2} + 16a + 23\)

This can be further expressed as:

\(\frac{4+16a^3+23a^3}{a^2}\)

(a) P(getting the flu and being a senior citizen) = P(getting the flu | senior citizen) x P(senior citizen)P(getting the flu | senior citizen) = 0.12 (given)P(senior citizen) = 0.11 (given)

Therefore, P(getting the flu and being a senior citizen) = 0.12 x 0.11 = 0.0132. So, the probability that a person selected at random from the general population is a senior citizen and will get the flu this season is 0.0132. (rounded to 4 decimal places).

(b) P(getting the flu and being under age 65) = P(getting the flu | under age 65) x P(under age 65)P(getting the flu | under age 65) = 0.30 (given)P(under age 65) = 1 - P(senior citizen) = 1 - 0.11 = 0.89.
Therefore, P(getting the flu and being under age 65) = 0.30 x 0.89 = 0.267So, the probability that a person selected at random from the general population is under age 65 and will get the flu this year is 0.267. (rounded to 4 decimal places).

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Answer:

5 is what the answer will end up being

because a it's is adding a negative to a positive

Answer:

(-2, 0)

Step-by-step explanation:

y = 2x+4

6x - 3y = -12

Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...

2x - y = -4

Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...

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

Distribute the -3

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

2x-6x-12=-4

Combine like terms

-4x-12=-4

Add 12 to both sides

-4x-12+12=-4+12

-4x=8

Divide both sides by -4

x=-2

Plug -2 back in for x to solve for y:

y = 2(-2) + 4

y=-4+4

y=0

(x, y) = (-2, 0)

Answer:

Infinitely many solutions

Step-by-step explanation:

\(y=2x+4\\ [2] 6x-3y=-12\)  < ------------- Linear equations given

Equations Simplified or Rearranged :

\(y - 2x = 4 \\ [2] -3y + 6x = -12\)

Solve by Substitution :

// Solve equation [1] for the variable \(y\)

\([1] y = 2x + 4\)

// Plug this in for variable\(y\)  in equation\([2]\)

\([2] -3*(2x+4) + 6x = -12\)

[2]    \(0 = 0 =>\)  Infinitely many solutions

Answer: Independent variable = c

Dependent variable = v

Step-by-step explanation:

Given variables:

c = the number of Nora's coworkers who attend the picnic

v = the number of veggie burgers

Here the number of burgers required is dependent on the number of Nora's coworkers who attend the picnic.

Therfeore, Independent variable = c

Dependent variable = v

Approximately 34% of American adults have a mobile phone but not a landline, based on the given proportions from the study conducted by the Centers for Disease Control.

The proportion of American adults who have a mobile phone but not a landline, we need to subtract the proportion of those who have both a mobile phone and a landline from the proportion of those who have a mobile phone.

Let's denote the proportion of American adults who have a mobile phone as P(M), the proportion who have a landline as P(L), and the proportion who have neither as P(N).

Given information:

P(M) = 89% (proportion with a mobile phone)

P(L) = 57% (proportion with a landline)

P(N) = 2% (proportion with neither)

We can now calculate the proportion of adults who have a mobile phone but not a landline using the following equation:

P(M and not L) = P(M) - P(M and L)

To find P(M and L), we can subtract P(N) from P(L) since those who have neither are not included in the group with a landline:

P(M and L) = P(L) - P(N)

P(M and L) = 57% - 2%

P(M and L) = 55%

Now we can substitute the values back into the equation to find P(M and not L):

P(M and not L) = P(M) - P(M and L)

P(M and not L) = 89% - 55%

P(M and not L) = 34%

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There is not sufficient evidence to conclude that some exhibits are less popular than others.

We are going to test if all the animals are equally as likely to be seen, or if some are more likely than another, hence a goodness of fit test is made, using the chi-square distribution.

The test statistic for the chi-square distribution is given as follows:

Chi-squared = sum ((O - E)²/E)

In which:

The total number of measures in this problem is given as follows:

133 + 172 + 163 + 165 + 134 + 155 + 148 = 1070.

There are seven types of animals, hence the expected value is obtained as follows:

E = 1070/7 = 152.86.

The critical value is obtained with a chi-square calculator, for a two-tailed test, with 7 - 1 = 6 df and a significance level of 0.1, hence it is of:

Chi squared = 10.64.

Hence the conclusion will be reached as follows:

The test statistic is calculated as follows:

Chi-squared = 1/152.86 x [(133 - 152.86)² + (172 - 152.86)² + (163 - 152.86)² + (165 - 152.86)² + (134 - 152.86)² + (155 - 152.86)² + (148 - 152.86)²]

Chi-squared = 9.13.

Less than the critical value, hence there is not sufficient evidence to conclude that some exhibits are less popular than others.

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The point in which the line meets the plane is (3/2, -3/2, 1/2)

The planes is 2x - y + 3z = 6.

The lines are x = 1 - t, y = 3t, z = 1 + t.

We now the value of x, y, z. So we put the value of x, y, z in the plane.

2x - y + 3z = 6

2(1 - t) - 3t + 3(1 + t) = 6

Simplifying

2 - 2t - 3t + 3 + 3t = 6

5 - 2t = 6

Subtract 5 on both side, we get

-2t = 1

Divide by -2 on both side, we get

t = -1/2

Now finding the value of x, y, z by putting the t

x = 1 - t

x = 1 - (-1/2)

x = 1 + 1/2

x = 3/2

y = 3t

y = 3(-1/2)

y = -3/2

z = 1 + t

z = 1 + (-1/2)

z = 1 - 1/2

z = 1/2

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Answer:

the distance between the lines is 2.48

The top remaining after 18 yearly payments have been made on a$ 15,000 five- time loan is$ 11,397. The periodic interest rate is 12 nominal compounded yearly. thus, option D is the correct answer.

In order to calculate the top remaining after 18 yearly payments have been made on a$ 15,000 five- time loan with an periodic interest rate of 12 nominal compounded monthly, we can follow these way

First, we need to determine the number of payments made after 18 months of payments.

Since there are 12 months in a time and the loan is for five times, the total number of payments is 5 × 12 = 60 payments.

After 18 months, the number of payments made is 18 payments.

We can calculate the yearly interest rate by dividing the periodic interest rate by 12 12/ 12 = 1 per month.

Using the formula for the present value of a subvention, we can find the m

PV = PMT ×(( 1 −( 1 r)- n) ÷ r)

where PV is the present value of the loan, PMT is the yearly payment, r is the yearly interest rate, and n is the total number of payments. We can rearrange this formula to break for PV

PV = PMT ×(( 1 −( 1 r)- n) ÷ r)

PV = $ 15,000 − PMT ×(( 1 −( 10.01)- 18) ÷0.01)

We do not know the yearly payment, but we can use the loan information to calculate it.

Since the loan is for five times and the periodic interest rate is 12, we can use a loan calculator to find the yearly payment.

This gives us a yearly payment of$333.15.

Substituting this value into the formula, we get

PV = $ 15,000 −$333.15 ×(( 1 −( 10.01)- 18) ÷0.01)

PV = $ 11,396.70.

Thus, the top remaining after 18 yearly payments have been made on a $ 15,000 five- time loan is$ 11,397. The correct answer is optionD.

The top remaining after 18 yearly payments have been made on a          $ 15,000 five- time loan is$ 11,397. The periodic interest rate is 12 nominal compounded yearly. thus, option D is the correct answer. The result to this problem was attained using the formula for the present value of an subvention.

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In summary, the relative ease in identifying a representative strength value arises from the concentration of observations in specific regions, where certain values occur more frequently.

The reason it is relatively easy to identify a representative strength value in this scenario is due to the distribution of observations and their concentration in certain regions. Let's analyze the provided information:

The observations are distributed over the range 122.2 and 147.7 in a fairly uniform fashion, suggesting the middle of the range as a representative value of strength. This implies that the observations are evenly spread out across the entire range, and thus, the middle value can be considered representative.

The observations are highly concentrated at around 123 or 124, suggesting that the typical value falls in this range. When the observations cluster around a particular value, it indicates a high frequency of occurrence, making it a likely representative value.

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Answer:c

Step-by-step explanation:

Brainlist

Answer:

quadrant 4

Step-by-step explanation:

6, -8 is in quadrant 4

The length of the instrument storage closet will be 15ft

Given the dimension of Mr. Miller’s band room is 50 ft wide and 75 ft long. In order to get an instrument storage closet that has the same proportions of length and width but is smaller, we can multiply the width and the length by a scale factor.

Using the scale factor of 1/5, the new dimension will be expressed as:

Hence the length of the instrument storage closet will be 15ft

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The question is incomplete. Here is the complete question.

As a part of city building refurbishment project,  architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.

The model includes a new park in the center of the city. If the dimensions of the park in the model are 9 inches by 17 inches, what are the actual dimensions of the park?

Answer: 81 feet by 153 feet

Step-by-step explanation: Unit Scale is a ratio comparing actual dimensions of an object to the dimensions of model representing the actual object.

In the refurbishment project, the unit scale is given by

1 inch = 9 feet

So, the dimensions of the new park in actual dimensions would be

1 inch = 9 feet

9 inches = x

x = 9.9

x = 81 feet

1 inch = 9 feet

17 inches = y

y = 17.9

y = 153 feet

The actual dimensions of the new park are 81 feet by 153 feet.

Answer:

So the slope is -2 while the y-intercept is -2

Step-by-step explanation:

y=mx+b

so you need to rearrange it so it will be

y=-2x-2

So m is slope so it is -2

and -2 is b which is the y-intercept so it is -2

Hope this helps and sorry I took so long

The orthogonal decomposition of `v` with respect to `w` is given by`v = proj_w(v) + v_ortho``v = <-0.5294, -2.1176> + <3.5294, 1.1176>``v = <3, -3>`

Given vectors `v = (3, -3)` and `w = span(1, 4)`.

To find the orthogonal decomposition of v with respect to w, we need to find two vectors - one in the direction of w and another in the direction orthogonal to w. Therefore, let's first find the direction of w.To get the direction of w, we can use any scalar multiple of the vector `w`.

Thus, let's take `w_1 = 1` such that `w = <1, 4>`.Now we need to find the projection of v onto w. The projection of v onto w is given by`(v . w / |w|^2) * w`

Here, `.` represents the dot product of vectors and `|w|^2` is the squared magnitude of w.`|w|^2 = 1^2 + 4^2 = 17` and `v . w = (3)(1) + (-3)(4) = -9`.

Therefore, the projection of v onto w is given by`proj_w(v) = (-9 / 17) * <1, 4> = <-0.5294, -2.1176>`We can check that `proj_w(v)` is in the direction of `w` by computing the dot product of `proj_w(v)` and `w`.`proj_w(v) . w = (-0.5294)(1) + (-2.1176)(4) = -9`.

Thus, the vector `proj_w(v)` is indeed in the direction of `w`.Now, we need to find the vector in the direction orthogonal to w. Let's call this vector `v_ortho`.

Thus,`v_ortho = v - proj_w(v) = <3, -3> - <-0.5294, -2.1176> = <3.5294, 1.1176>`

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Answer:

The sum of 25 and 16 is 41.

Step-by-step explanation:

The sum of two numbers, 25 and 16, you can break apart the addends and add them separately to simplify the process. Here's how you can do it:

Break apart the numbers into their place values: For 25, you have 20 and 5, and for 16, you have 10 and 6. This step helps you work with the place values individually.

Add the tens place: In this case, you have 20 (from 25) and 10 (from 16). Adding them gives you 30.

Add the ones place: Now you add the ones place, which is 5 (from 25) and 6 (from 16). Adding them gives you 11.

Combine the sum of the tens place and the sum of the ones place: Take the sum of 30 (from step 2) and 11 (from step 3). Adding them together gives you 41.

So, the sun is 41.

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In mutually exclusive data, you cannot find any overlap or intersection between the categories or events being analyzed.

This means that the occurrence of one event or category precludes the occurrence of the other. On the other hand, in dependent data, the occurrence of one event or category may have an effect on the occurrence of the other, and thus, they are not completely independent or separate. Therefore, in both cases, you cannot find any shared or common outcomes or occurrences between the categories or events being analyzed.

You cannot find a direct correlation or causal relationship between mutually exclusive or dependent data. In mutually exclusive events, the occurrence of one event prevents the occurrence of the other, meaning they cannot happen at the same time. In dependent events, the probability of one event happening is influenced by the outcome of a previous event. Due to these characteristics, it is not possible to establish a direct correlation or causal relationship between such events.

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Answer:

The answer you are looking for is Infinitely many solutions

Step-by-step explanation:

Explanation in attachments

Mark brainliest pls :)

Answer:

infinite solutions

Step-by-step explanation:

since x and y cancel eachother out it leaves infinite possibilities

When swerving, there are a number of factors that come into play, including traction, lean, load triangle, and being upright. Swerving in a straight line can be relatively easy, as the rider only needs to make minor adjustments to maintain balance.

When comparing swerving in a straight line to swerving in a curve, the key differences involve traction and maintaining an appropriate lean angle.
Swerving in a curve requires more traction than swerving in a straight line. Traction is essential for maintaining control of your vehicle, especially when navigating curves. As you swerve in a curve, your tires need to have a good grip on the road surface to prevent skidding or losing control.
Additionally, managing lean angles is more critical when swerving in a curve. To maintain balance and control, you must avoid leaning too much, as it can cause the vehicle to tip over or slide out. In a curve, the lean angle needs to be adjusted appropriately to match the curve's radius, while also considering your speed and road conditions.
In summary, swerving in a curve requires more traction and careful management of lean angles compared to swerving in a straight line. The load triangle and keeping the vehicle upright are important, but they are not the primary factors that make swerving in a curve more challenging than swerving in a straight line.

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Answer:

X= -6. Y=4

Step-by-step explanation:

-6+4= -2

Answer:

9/10

Step-by-step explanation:

9m = 540s

540/60 = 9

600/60 = 10

Plz mark brainliest thanks

The angle of 6 and 70 degrees is 64 degrees.

When we say "the angle of 6 and 70 degrees", we are referring to the angle between a line that goes through 6 degrees on the unit circle and the line that goes through 70 degrees on the unit circle.

To find the angle between two points on the unit circle, we first need to visualize the points and draw the lines that pass through them.

The angle between these two lines is the angle we are looking for. We can use the formula for the difference of two angles to find the angle:

Angle = |6 - 70| = |-64| = 64 degrees

The absolute value of the difference between 6 and 70 degrees is 64 degrees. Therefore, the angle of 6 and 70 degrees is 64 degrees.

We can verify our answer by drawing the unit circle and the lines passing through 6 and 70 degrees. The angle between these lines should be approximately 64 degrees.

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Answer:

l 2 x 3 l = x^2 l

Step-by-step explanation:

Answer:

7 :D

Step-by-step explanation:

Lets go step by step!

When we do something to one side, we must do it to the other!

2x - 5 < 9

2x - 5 + 5 < 9 + 5

2x < 14

2x/2 < 14/2

x < 7

Your answer is 7 :D

Have an amazing day!

Please rate and mark brainliest!

Answer:

x=7

Step-by-step explanation: Okay so,

2x−5=9

First, you take the 5 and add it to the 9:

2x=9+5=

2x=14

Then you divide 2x by 2 and what you do to one side you do to the other, so you also divide 14 by 2:

2x/2=14/2=

x=7

Hope this helps!

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer: 30

Step-by-step explanation:

The equation of the line of best fit, using the least square method is v = 2.19t + 6.7, making the 2nd option as the right choice.

In the question, we are asked to find the equation of the line of BEST FIT for the given scatter plot.

We let the time be the independent variable x, and velocity is the dependent variable y.

We find the line of best fit using the least square method.

First, we calculate the mean:

Now, we find the slope of the line of best fit, using the formula:

m = {∑(x - μ(x))(y - μ(y))}/{∑(x - μ(x))²}.

Taking value from the tables, which is attached, we get:

m = 239.35/109.2683333 = 2.190479096.

Now, we calculate the y-intercept of the line of best fit, using the formula:

b = μ(y) - m.μ(x),

or, b = 20.5 - 2.190479096*6.283333 = 6.736489681.

Now, the equation of the line of best fit, in the form of y = mx + b, can be written as, y = 2.190479096x + 6.736489681, which on approximation, and making y as v, the velocity, and x as t, the time, we get: v = 2.19t + 6.7.

Thus, the equation of the line of best fit, using the least square method is v = 2.19t + 6.7, making the 2nd option as the right choice.

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