Is - 4x + 5 > 25 true when x is 0? What about when x is 7? What about when xis -

Answer:

It is "The y-intercept is one space higher."

Step-by-step explanation:

Assuming your original equation is 6(9)^X, the + 1 at the end is moving the entire function up since all y values that are the output are 1 higher. This means the point on the y-axis will be one higher, leading us to the answer.

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 5}(x-\stackrel{x_1}{2}) \implies y +4= -5 (x -2) \\\\\\ y+4=-5x+10\implies {\Large \begin{array}{llll} y=-5x+6 \end{array}}\)

Solution :

The function :    \($f: Z_{10} \rightarrow Z_{10}$\)   be a random permutation.

f is a permutation on \($Z_{10}$\) ,  i.e. f is permutation 10.

Now we know that the total number of distinct permutation on to symbolize 10!.

Each of these 10! permutation to a permutation function  \($f: Z_{10} \rightarrow Z_{10}$\)  

Therefore, total number of permutation functions  \($f: Z_{10} \rightarrow Z_{10}$\)   are 10!.

Now we want the total number of permutation functioning :

\($f: Z_{10} \rightarrow Z_{10}$\)   such that  f(0) = 0 and f(1)= 1

Now we notice that when f(0)=0 and f(1)=1, then two symbol '0' and '1 are fixed under permutation f.

So essentially when f(0) = 0 and f(1) = 1, f becomes permutation on 8 symbol.

Total number of permutation functioning  \($f: Z_{10} \rightarrow Z_{10}$\)  , f(0)=0 and f(1)=1 are 8!

Now we want the probability that a random permutation  \($f: Z_{10} \rightarrow Z_{10}$\)   satisfies f(0) = 0 and f(1) = 1.

The number of permutation function  \($f: Z_{10} \rightarrow Z_{10}$\)  , i.e.

The probability that a random permutation  \($f: Z_{10} \rightarrow Z_{10}$\)   satisfies f(0) = 0 and f(1) = 1 is

\($\frac{8!}{10!} = \frac{8!}{10 \times 9\times 8!} =\frac{1}{10 \times 9}=\frac{1}{90}$\)

Therefore, the probability that a random permutation  \($f: Z_{10} \rightarrow Z_{10}$\)   satisfies f(0)= 0 and f(1)=1 is  \($\frac{1}{90}$\)

8, 12, 15, 3, 7, 10, 15

mean, median and mode.

to find mean you'll have to add all of the numbers and divide by the number of numbers in the data set.

\( \frac{(8 + 12 + 15 + 3 + 7 + 10 + 15)}{7} \)

\( = \frac{70}{7} \)

\( = 10\)

to find median you'll have to order the numbers either in descending or ascending, and find the number in the middle.

\(3 \: 7 \: 8 \: 10 \: 12 \: 15 \: 15\)

=10

most frequently occurred number is the mode.

\( = 15\)

The central angles for the categories with the numbers 40, 100, 50, and 50 are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.

To calculate the central angles for each category based on the given numbers 40, 100, 50, and 50, we need to find the proportion of each value to the total sum of all the values. Let's proceed with the following steps:

Step 1: Calculate the total sum of the given numbers: 40 + 100 + 50 + 50 = 240.

Step 2: Find the proportion of each value by dividing it by the total sum and multiplying it by 360 (since a full circle has 360 degrees).

Central angle for the first category: (40/240) * 360 = 60 degrees.

Central angle for the second category: (100/240) * 360 = 150 degrees.

Central angle for the third category: (50/240) * 360 = 75 degrees.

Central angle for the fourth category: (50/240) * 360 = 75 degrees.

The central angles for each category based on the given numbers are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.

These central angles represent the relative proportions of each category's spending in relation to the total spending. They can be used to create a pie chart or visualize the distribution of expenses in a circular graph.

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Note the search engine cannot find the complete question

Step-by-step explanation:

|a+b|=✓(a²+b²)

|a|+|b|=a+b

||a+b|| ≤ ||a||+|b||

Answer:

E) π/9

Step-by-step explanation:

The angles are complementary meaning they add up to 90°.

Convert radians to degrees:

7π/18 · 180/π = 70°

Now we know that we need the radian equivalent of 20°.

Convert degrees to radians:

70 · π/180 = π/9

Therefore, the measure of the missing degree is π/9.

Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

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Answer:

  (a)  83°

Step-by-step explanation:

You want the measure of angle 5, given that the adjacent angle 6 has a measure of 97° where the lines cross.

The two angles, 5 and 6, are a linear pair, so are supplementary.

  ∠5 = 180° -∠6

  ∠5 = 180° -97°

  ∠5 = 83°

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Answer:

45∘

Step-by-step explanation:

∠2 = 180∘ - 135∘ = 45∘

∠2 = ∠1 = 45∘

∠1 = ∠4 = 45∘

Answer: 7w

Step-by-step explanation: Notice that 6w and w are like terms.

If there is no coefficient in front of the

variable, we can give it a coefficient of 1.

So +w can be thought of as +1w.

Now we can combine our like terms, 6w + 1w to get 7w.

Answer:

10 i think

Step-by-step explanation:

:)

Answer:

A=6/5    B=0.111...    C=166 2/3%

Step-by-step explanation:

i hope this helped you :)

Answer:

the answers will be A. B. C.

Step-by-step explanation:

took the test on edgenuity and got it right :D

Using the Pythagoras theorem, the longest leg has the length of 24 feet.

Given that,

A ladder of length (2x+6) feet is positioned x feet from a wall.

Height of the ladder = (2x + 6) feet

Distance of ladder from the wall = x feet

Height of the wall that the ladder is placed = (2x + 4) feet

These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.

Longest leg is (2x + 4) feet

Using the Pythagoras theorem,

(2x + 6)² = (2x + 4)² + x²

4x² + 24x + 36 = 4x² + 16x + 16 + x²

4x² + 24x + 36 = 5x² + 16x + 16

x² - 8x - 20 = 0

(x - 10) (x + 2) = 0

x = 10 or x = -2

x = 2 is not possible.

So x = 10

Longest leg = 2x + 4 = 20 + 4 = 24 feet

Hence the length of the longest leg is 24 feet.

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(a) The average cost in 2011 is  

(b) A graph of the function g for the period 2006 to 2015 is shown below.

(c) Assuming that the graph remains accurate, its shape suggest that the average cost increases at a slower rate as time goes on.

Based on the information provided, we can logically deduce that the average annual cost (in dollars) for health insurance in this country can be approximately represented by the following function:

g(x) = -1736.7 + 1661.6Inx

where:

x = 6 corresponds to the year 2006.

For the year 2011, the average cost (in dollars) is given by;

x = (2011 - 2006) + 6

x = 5 + 6

x = 11 years.

Next, we would substitute 11 for x in the function:

g(11) = -1736.7 + 1661.6In(11)

g(11) = $2247.64

Part b.

In order to plot the graph of this function, we would make use of an online graphing tool. Additionally, the years would be plotted on the x-axis while the average annual cost would be plotted on the x-axis of the cartesian coordinate as shown below.

Part c.

Assuming the graph remains accurate, the shape of the graph suggest that the average cost of health insurance increases at a slower rate as time goes on.

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Complete Question:

The average annual cost (in dollars) for health insurance in a country can be approximated by the function g(x) = -1736.7 + 1661.6Inx, where x = 6 corresponds to the year 2006.

(a) Estimate the average cost in 2011.

(b) Graph the function g for the period 2006 to 2015

(c) Assuming that the graph remains accurate, what does the shape of the graph suggest regarding the average cost of health insurance?

Answer:

10.5

Step-by-step explanation:

Given the data:

Age. l frequency

1-5. l 3

6-10. l 3

11-15. l 3

16-20. I 3

Mean :

Σfx / Σf

Obtain the midpoint (x) = (upper + lower boundary) / 2

Hence, midpoint x :

Age. l frequency | x

1-5. l 3 | 3

6-10. l 3 | 8

11-15. l 3 | 13

16-20. I 3 | 18

Σfx = (3*3) + (3*8) + (3*13) + (3*18) = 126

Σf = (3 + 3 + 3 + 3) = 12

Mean = Σfx / Σf = 126 / 12 = 10.5

The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

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These values represent the range within which the middle 30% of indoor cats' age of death lies.

a. The distribution of X is a normal distribution, denoted as X ~ N(μ, σ), where μ represents the mean age at death of indoor cats and σ represents the standard deviation.

b. To find the probability that an indoor cat dies when it is between 11 and 14.6 years old, we need to calculate the area under the normal distribution curve between these two values.

First, we need to standardize the values by subtracting the mean and dividing by the standard deviation. Let's call the standardized values z1 and z2.

z1 = (11 - μ) / σ
z2 = (14.6 - μ) / σ

Using the z-table or a statistical calculator, we can find the corresponding probabilities for these standardized values. The difference between these two probabilities will give us the probability of the cat's age at death being between 11 and 14.6 years old.

Let's say the probability for z1 is P1 and the probability for z2 is P2. Then, the probability we're looking for is P2 - P1.

c. The middle 30% of indoor cats' age of death lies between the lower and upper percentiles. To find these percentiles, we need to locate the z-scores that correspond to the lower and upper percentages.

First, let's find the z-scores for the lower and upper percentiles. The lower percentile will be (1 - 0.30) / 2 = 0.35, and the upper percentile will be 1 - (1 - 0.30) / 2 = 0.65.

Using the z-table or a statistical calculator, we can find the z-scores corresponding to these percentiles. Let's call the lower z-score zL and the upper z-score zU.

zL corresponds to the 0.35 percentile, and zU corresponds to the 0.65 percentile.

Now, we can find the values for the lower and upper percentiles using the z-scores, mean, and standard deviation.

Lower percentile = μ + zL * σ
Upper percentile = μ + zU * σ

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Answer:

w = 12

Step-by-step explanation:

-3(2-5w) = 9w + 66

Complete the parenthesis:

-6 + 15w = 9w + 66

Switch the numbers and group them with like terms;

15w - 9w = 66 + 6

6w = 72

w = 12

Check answers if you want to be sure

points ( 35/3,0)  & ( 9,0) on the X axis, such that the ratio of its distances.

What is Distance?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Let assure that the point on x -  axis is P(x,0)

\(\frac{AP}{BP} = \frac{1}{2} = \frac{\sqrt{( X - 7)^{2} + ( 0-6)^{2} } }{\sqrt{( x + 3 )^{2} + ( 0 - 4 )^{2} } }\)

\(\frac{1}{2} = \frac{( x-7 )^{2} + ( -6)^{2} }{( x+3)^{2} + (-4)^{2} } = \frac{1}{4}\)

x² + 49 - 14x + 36 /x² + 9 + 6x + 16 = 1/4

x² - 14x + 85/x² + 6x + 25 = 1/4

4x²- 56x + 340 = x² + 6x + 25

3x² - 62x + 315 = 0

x = + 62± √(62)² - 4 (3) (315)/2 × 3

x = 62± √3844 - 3780/6

x = 62± 8 /6

x = 62+8/6                 &            62-8/6

x = 35/3                      &            x = 9

2 points ( 35/3,0)  & ( 9,0)

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Complete Question

How large a sample is needed if we wish to be 96% confident that our sample proportion in Exercise 9.53 will be within 0.02 of the true fraction of the voting population?

Exercise 9.53

A. A random sample of 200 voters in a town is selected, and 114 are found to support an annexation suit. Find the 96% confidence interval for the fraction of the voting population favoring the suit.

B. What can we assert with 96% confidence about the possible size of our error if we estimate the fraction of voters favoring the annexation suit to be 0.57?

Answer:

The First question

                    \( n = 1879  \)

A

    The 96% confidence interval is  

                      \(0.51 <  p <  0.63 \)

B

   The possible size of our error if we estimate the fraction of voters favoring the annexation suit to be 0.57 is  

           \(E =    0.06 \)

Step-by-step explanation:

From the question we are told that

    The margin of error is  \(E = 0.02\)

     The sample size is  n =  200

     The number that supported the annexation suit is  k = 114

Considering the first question

Generally our sample in Exercise 9.53 is  \(\^ p = 0.57\)

From the question we are told the confidence level is  96% , hence the level of significance is    

      \(\alpha = (100 - 96 ) \%\)

=>   \(\alpha = 0.04\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.751 \)

Generally the sample size is mathematically represented as  

    \(n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) \)

=>  \(n = [\frac{1.751}{0.02 } ]^2 * \^ p (1 - \^ p ) \)

=>  \(n = [\frac{1.751}{0.02 } ]^2 * 0.57  (1 -0.57  ) \)

=>  \( n = 1879  \)

Considering question B

Generally the margin of error is mathematically represented as  

     \(E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } \)

=>  \(E =    1.751 * \sqrt{\frac{ 0.57  (1- 0.57 )}{200} } \)

=>  \(E =    0.06 \)

Considering question A

Generally the sample proportion of the number that supported the annexation suit is mathematically represented as

        \(\^ p = \frac{114}{200}\)

=>      \(\^ p = 0.57\)

Generally 96% confidence interval is mathematically represented as  

      \(\^ p -E <  p <  \^ p +E\)

=>  \(0.57  - 0.06 <  p <  0.57  + 0.06 \)

=>  \(0.51 <  p <  0.63 \)

The meer-kitty survey feedback tab has limitations in its data. The survey results must have at least 120 unique responses to be considered useful and aligned with the business objective. The current data, however, only has 40 total responses, with 11 of them coming from one user. This skews the results and makes it difficult to accurately analyze the feedback.

To address these limitations, it is recommended to remove the duplicates, in this case the 11 responses from one user, and focus on the remaining 29 unique responses. This will provide a clearer picture of the survey results and a more accurate representation of the feedback. By doing so, the analysis of the data will be better aligned with the original business objective and provide more valuable insights.

It is important to consider the limitations of the data when conducting any type of analysis, especially when it comes to surveys and feedback. By taking the necessary steps to ensure the data is as accurate and reliable as possible, the results of the analysis will be more meaningful and relevant to the business.

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The bearing of B from A, given the locations of cities A and B can be found to be 30 degrees.

The bearing of A from B, can also be found to be 210 degrees.

First thing to do is to draw a vertical line from Point A and Point B, upwards. This line would signify the North direction which is needed to find the bearing.

Now, draw a line to B from A. From that line, draw an angle from the North Line of A to the line that joins Cities A and B.

Once this line is drawn, check the angle that forms and you will find that it is 30 degrees. This makes the bearing of B from A, to be 030 degrees.

The bearing from B of A would be 210 degrees by the same method.

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The full question is:

a) Measure the bearing of B from A.

b) Measure the bearing of A from B.

Answer:

93.50

(853.90 ; 1040.90)

Step-by-step explanation:

Mean, xbar = 947.4 mg

Sample size, n = 18

σ = 188

Margin of Error :

Tcritical * σ/√n

TCritical at 95% , df = n - 1 = 17 = 2.11

Margin of Error = 2.11 * 188/√18 = 93.50

The 95%, confidence interval :

Xbar ±Margin of error

Lower boundary = Xbar - margin of error

Lower boundary = 947.4 - 93.50 = 853.90

Upper boundary = Xbar + margin of error

Lower boundary = 947.4 + 93.50 = 1040.90

(853.90 ; 1040.90)

I think 2, but I could be wrong