If x=2, what is the value of y in the equation y=3x−1

A. y=3

B. y=-5

C. y=-3

D. y=5

please help fast please

The solution to the given inequality as represented in the task content are; z < - 1.00485413 OR z > 1.00485413.

It follows from the task content that the solution of the given inequality; ( 29 / 289z ) < ( 16 / 161 ) z is to be determined.

Since the given inequality is;

( 29 / 289z ) < ( 16 / 161 ) z

By cross multiplication; we have;

161 × 29 < ( 16z × 289z )

( 161 × 29 ) / ( 16 × 289 ) < z²

1.00973183 < z²

Therefore;

1.00485413 < z. OR. -1.00485413 > z.

Ultimately, z < - 1.00485413 OR z > 1.00485413.

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It will take 11 days to sell 3872 liters of fuel at the same rate as 1760 liters sold in 5 days.

We can use the following proportion to solve the problem:

1760 liters / 5 days = 3872 liters / x days

Where x is the number of days it will take to sell 3872 liters of fuel.

We can use the unitary method to solve this problem.

Let's start by finding out how much fuel is sold in one day. To do this, we need to divide the total amount of fuel sold (1760 liters) by the number of days it was sold for (5 days):

1760 liters ÷ 5 days = 352 liters per day

Now we can use this rate to find out how many days it will take to sell 3872 liters of fuel:

3872 liters ÷ 352 liters per day = 11 days (rounded to the nearest whole number)

Therefore, it will take 11 days to sell 3872 liters of fuel at the same rate as 1760 liters sold in 5 days.

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Answer:

\(yes \\ because \\ 5 \times (10) = 50 \\ and \: 5(3 + 7) = 5(10) = 50 \\ than k\: you\)

Answer:

yes, because 3+7 is equal to 10

Step-by-step explanation:

To predict the non-violent crime rate in City X based on the regression model, we can use the equation:

Non-violent crime rate = Intercept + (Slope * Unemployment rate)

Given that the slope of the regression line is 27.15 and the intercept is -124.28, and City X has an unemployment rate of 26.6, we can substitute these values into the equation to calculate the predicted non-violent crime rate:

Non-violent crime rate = -124.28 + (27.15 * 26.6)

Non-violent crime rate = -124.28 + 721.59

Non-violent crime rate = 597.31

Therefore, the predicted non-violent crime rate in City X is 597.31.

It's important to note that this prediction is based on the regression model and assumes that the relationship between unemployment rate and non-violent crime rate is linear and holds true for City X. Additionally, other factors not included in the model may also influence the non-violent crime rate, so the prediction should be interpreted with caution.

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The LCD of 2/5, 1/2, and 3/4 is equal to 20.

In Mathematics, LCD is an abbreviation for least common denominator or lowest common denominator and it can be defined as the smallest number that can act as a common denominator for a given set of fractions.

Next, we would determine the factors of the denominators for the given fraction 5, 2, and 4 as follows;

5 = 5 × 1

2 = 2 × 1

4 = 2 × 2 × 1

Therefore, the least common denominator (LCD) would be calculated as follows:

Least common denominator (LCD) = 5 × 2 × 2 × 1

Least common denominator (LCD) = 20.

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Answer:

I would have to say D

Step-by-step explanation:

because it is a complete function

The function \(f(x)=100^{x-5}-1\) has a x-intercept

For an exponential function to have a x-intercept, the function must cross the x-axis

To determine the function, we simply plot them on a graph.

From the graph (see attachment), we can see that the graph of the function \(f(x)=100^{x-5}-1\) crosses the x-axis.

This means that the function \(f(x)=100^{x-5}-1\) has a x-intercept

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The Cartesian coordinate system is also referred to as a plane because it represents a two-dimensional space.

In mathematics, a plane is a flat surface that extends infinitely in all directions. The Cartesian coordinate system consists of two perpendicular lines, known as the x-axis and y-axis, which intersect at a point called the origin. These axes divide the plane into four quadrants.

The term "plane" in the context of the Cartesian coordinate system originates from the concept of a geometric plane, which is a fundamental concept in Euclidean geometry. In Euclidean geometry, a plane is a flat, two-dimensional surface that extends infinitely in all directions.

The Cartesian coordinate system borrows this concept and applies it to represent points, lines, curves, and shapes in a two-dimensional space.

By using the Cartesian coordinate system, we can assign coordinates (x, y) to any point in the plane, where the x-coordinate represents the horizontal position and the y-coordinate represents the vertical position.

This system allows us to precisely locate and describe objects or phenomena within the two-dimensional space, making it a valuable tool in various fields such as mathematics, physics, engineering, and computer graphics.

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The number of subjects needed to estimate the mean number of books read per year with a certain level of confidence is calculated in different scenarios. In the first scenario, to estimate within six books with 90% confidence, the required number of subjects is determined.

In the second scenario, the number of subjects needed to estimate within three books with 90% confidence is calculated. The effect of doubling the required accuracy on the sample size is examined. Lastly, the number of subjects required to estimate within six books with 99% confidence is determined and compared to the first scenario.

(a) To estimate the mean number of books read per year within six books with 90% confidence, the required number of subjects is determined. The specific confidence level of 90% requires rounding up the number of subjects to the nearest whole number.

(b) Similarly, the number of subjects needed to estimate within three books with 90% confidence is calculated, rounding up to the nearest whole number.

(e) Doubling the required accuracy does not quadruple or quarter the sample size. Instead, it doubles the sample size.

(d) To estimate within six books with 99% confidence, the required number of subjects is calculated. This higher confidence level requires a larger sample size compared to the first scenario in part (a). Increasing the level of confidence in the estimate generally leads to a larger sample size because a higher confidence level requires more data to provide a more precise estimation. This is reasonable because higher confidence levels correspond to narrower confidence intervals, which necessitate a larger sample size to achieve.

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Putting $20,000 at 8% annual interest & monthly getting compounded , the amount of money that jerry will after 10 years is approximately $44,040.

Given :

present value (P) = $20,000

interest rate (r) = 8%

compounding monthly (n) = 12

Time (t) = 10 years

To find : Future value after 10 years when interest monthly gets compounded

Now,

we know the formula is

future value = present value × (1 + interest rate)^years

                    = P × ( 1 + r / n )^ nt

inserting values in the given formula we get,

future value    = $20,000 × ( 1 + 8% / 12 )^ 10 × 12

                       =  $20,000 × ( 1 + 8 / 1200 )^ 120

                       =  $20,000 × (1 + 0.0066)^120

                       =  $20,000 × ( 1.0066)^120

                       =  $20,000 × 2.2020

                       =    $44,040

Hence the amount saved by jerry after 10 years at the annual interest of 8%  when money monthly is getting compounded with $20.000 will be $44,040.

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Answer:

D

Step-by-step explanation:

The probability that an arriving student will find at least one other student waiting in line is approximately 0.167.

To solve this problem, we'll use the M/M/1 queueing model with Poisson arrivals and exponential service times. Let's calculate the required values: (a) Percentage of time Judy is idle: The utilization of the system (ρ) is the ratio of the average service time to the average interarrival time. In this case, the average service time is 10 minutes, and the average interarrival time is 12 minutes. Utilization (ρ) = Average service time / Average interarrival time = 10 / 12 = 5/6 ≈ 0.8333

The percentage of time Judy is idle is given by (1 - ρ) multiplied by 100: Idle percentage = (1 - 0.8333) * 100 ≈ 16.67%. Therefore, Judy is idle approximately 16.67% of the time. (b) Average waiting time for a student:

The average waiting time in a queue (Wq) can be calculated using Little's Law: Wq = Lq / λ, where Lq is the average number of customers in the queue and λ is the arrival rate. In this case, λ (arrival rate) = 1 customer per 12 minutes, and Lq can be calculated using the queuing formula: Lq = ρ^2 / (1 - ρ). Plugging in the values: Lq = (5/6)^2 / (1 - 5/6) = 25/6 ≈ 4.17 customers Wq = Lq / λ = 4.17 / (1/12) = 50 minutes. Therefore, on average, a student spends approximately 50 minutes waiting in line.

(c) Average length of the line: The average number of customers in the system (L) can be calculated using Little's Law: L = λ * W, where W is the average time a customer spends in the system. In this case, λ (arrival rate) = 1 customer per 12 minutes, and W can be calculated as W = Wq + 1/μ, where μ is the service rate (1/10 customers per minute). Plugging in the values: W = 50 + 1/ (1/10) = 50 + 10 = 60 minutes. L = λ * W = (1/12) * 60 = 5 customers. Therefore, on average, the line consists of approximately 5 customers.

(d) Probability of finding at least one student waiting in line: The probability that an arriving student finds at least one other student waiting in line is equal to the probability that the system is not empty. The probability that the system is not empty (P0) can be calculated using the formula: P0 = 1 - ρ, where ρ is the utilization. Plugging in the values:

P0 = 1 - 0.8333 ≈ 0.1667. Therefore, the probability that an arriving student will find at least one other student waiting in line is approximately 0.167.

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Based on the z-score, we can conclude that you performed exceptionally well on the exam. Your score of 391 is significantly above the mean and indicates strong performance compared to the rest of the test takers.

To determine whether you did well on the exam, we can analyze your score in relation to the mean and standard deviation.

Given:

Mean score = 296

Standard deviation = 28

Your score = 391

To evaluate your performance, we can calculate the z-score, which measures how many standard deviations your score is away from the mean. The z-score formula is:

z = (x - μ) / σ

Where:

x = Your score

μ = Mean score

σ = Standard deviation

Substituting the values, we have:

z = (391 - 296) / 28 ≈ 3.39

The z-score of 3.39 indicates that your score is approximately 3.39 standard deviations above the mean for this exam.

Interpreting the z-score:

The empirical rule, also known as the 68-95-99.7 rule, states that approximately 99.7% of the observations lie within three standard deviations of the mean. Since your z-score is greater than three, it means your score is significantly higher than the average performance.

Therefore, based on the z-score, we can conclude that you performed exceptionally well on the exam. Your score of 391 is significantly above the mean and indicates strong performance compared to the rest of the test takers.

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The value of the growth factor of the function is found as 15.

A exponential function is one where the exponent contains the input, x.

Typically, an exponential function's equation looks like this:

y = abˣ

where,

In this issue

There are;

f(x) = 1/5.(15ˣ)

where,

1/5  -------> is the starting point.

15 --------> the growth factor.

Thus, the value of the growth factor of the function is found as 15.

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Answer:

D) 15 is the answer

Step-by-step explanation:

Answer:

a. 64 x ($)8 = ($)512

b. 45 (members) / 9(weeks) = 5 (members per week)

Answer:

The first one

Step-by-step explanation:

4x - 3y = 15  .first you subtract the 4x from both sides to get it in correct form

-3y = -4x + 15 . Then you divide both sides by -3 to isolate the y

y = 4/3x - 5  . Then you are left with this answer

Answer:

y = 4/3x - 5 (first answer on your photo)

Step-by-step explanation:

4x - 3y = 15

4x - 3y = 15 (we use -4x)

-3y = 15 - 4x (divide by -3)

y = 4/3x - 5

Answer:

Scale faction is 4

Step-by-step explanation:

You want to step this up as new/old this is because the shape is increasing in size. 18 times 4 is 72.

The port is empty for 15 days in a year.

LCM stands for Least Common Multiple. It is the smallest positive integer that is a multiple of two or more given integers. In other words, it is the smallest number that is divisible by all the given integers.

LCM(8,10,15) = 120

This means that the ships' docking schedules will repeat every 120 days.

We also know that all three ships visited the port on January 1st, so the next time they will all be there together is after 120 days.

So, we need to find the number of days in a year that are multiples of 120.

365 ÷ 120 = 3, with a remainder of 25.

So there are 3 sets of 120 days in a year, plus an additional 25 days.

The ships that dock every 8 days and every 10 days will both be at the port on day 40 (LCM of 8 and 10).

The ships that dock every 8 days and every 15 days will both be at the port on day 120 (LCM of 8 and 15).

The ships that dock every 10 days and every 15 days will both be at the port on day 30 (LCM of 10 and 15).

The ships that dock every 8 days, every 10 days, and every 15 days will all be at the port on day 120 (LCM of 8, 10, and 15).

Therefore, we need to subtract a total of 120 + 120 + 40 + 120 = 400 days from the total.

So the number of days the port is empty is:

365 - (3 x 120 - 400) = 15 days

Therefore, the port is empty for 15 days in a year.

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Answer:

$160.16

Step-by-step explanation:

Well first you need to find 12% of 143.

100%=143

10%=14.3

2%=2.86

12%=17.16

Now we add 17.16 to 143 to get 160.16. This means he pays $160.16.

The equation representing the value of the stock, V(t), in dollars, t years after 1940 is V(t) = $1.25 * \(1.07^t\).

Let V(0) be the value of the stock in 1940, which is given as $1.25. Then, the value of the stock after t years (t > 0) can be found by multiplying the initial value with the growth factor of 1.07 raised to the power of the number of years of growth. Thus, the equation representing the value of the stock, V(t), in dollars, t years after 1940 is:

V(t) = V(0) * \((1 + 0.07)^t\)

Substituting the given value of V(0) = $1.25, we get:

V(t) = $1.25 * \((1 + 0.07)^t\)

Simplifying this expression, we get:

V(t) = $1.25 * \(1.07^t\)

Therefore, the equation representing the value of the stock, V(t), in dollars, t years after 1940 is V(t) = $1.25 * \(1.07^t\).

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Based on the ratings system and the summarize() and mean() functions, the code chunk to add is summarize(mean(Rating)) and the mean rating is 3.185933.

To find the mean rating, the complete code should be trimmed_flavors_df %>% summarize(mean(Rating)).

This code would allow you to see the mean rating of your data by combining the summarize() and mean() functions such that you can display summary statistics.

Because of the "mean()" function, the statistic that will be displayed is the mean rating which in this case would be 3.185933.

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Answer:

answer is 1.1

Step-by-step explanation:

11(1331)

11(121)

11(11)

(1)

10(1000)

10(100)

10(10)

(1)

(11/10*11/10*11/10)^(1/3)

=11/10

=1.1.

Answer:

1.1

Step-by-step explanation:

If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.

P(A) + P'(A) = 1

The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.

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The mean will be the middle number or 12.1.

According to our question-

The median is the middle number  in the data set when the data set is written from least to greatest.

least to greatest 4.8, 6.9, 12.1, 14.8, 16.2

Hence, The mean will be the middle number or 12.1.

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Answer:

Completing the square: \((x^2+4x)-5=0\)

Factored form: \((x+5)(x-1)=0\)

Step-by-step explanation:

1.

Completing the square is a method used to rewrite a quadratic equation in vertex form. First one groups the linear and the quadratic terms. Then one will factor out the coefficient of the quadratic term. After doing so, one makes the grouped equation a perfect square trinomial by introducing a term, don't forget to balance the equation. Finally one simplifies the equation. The result is a quadratic equation in vertex form.

The quadratic equation:

\(x^2+4x-5=0\)

Group the linear and quadratic terms:

\((x^2+4x)-5=0\)

The quadratic term doesn't have a coefficient, so one doesn't need to factor the group. Now, one has to add a term to make the group a perfect square trinomial. Remember to balance the equation:

\((x^4+4x-4)-5-4=0\)

Simplify,

\((x-2)^2-9=0\)

2.

Factoring a quadratic equation is a method of rewriting a quadratic equation as the product of two linear equations. One splits the constant term up into factors, such that the sum of the factors is equal to the coefficient of the linear term.

\(x^2+4x-5=0\)

Factor:

\((x+5)(x-1)=0\)

The number of 5ths that equals 9 is gotten bus using multiplication property of equality by multiplying 9 by 5 to give; 45

We want to find the number of 5ths that equals 9. We can express this as;

¹/₅x = 9

Where x is the number that is multiplied with one - fifth to equal 9.

To solve it, we will apply multiplication property of equality by multiplying both sides by 5 to get;

x = 45

Thus, the number of 5ths that equals 9 is 45.

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Answer:I'm pretty sure the answer is C.110!

The most nearly correct answer for the variance is (D) 130.

To find the variance, we can use the relationship between the standard deviation and the variance:

\(Variance = Standard Deviation^2\)

Given that the sample standard deviation is 11.6, we can square it to find the variance:

Variance ≈\((11.6)^2\)

≈ 134.56

Now, let's examine the answer choices provided:

(A) 46: This is not close to 134.56.

(B) 52: This is not close to 134.56.

(C) 110: This is not close to 134.56.

(D) 130: This is the closest answer to 134.56.

Therefore, the most nearly correct answer for the variance is (D) 130.

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Answer:

$25 for Adam and $75 for Hamza

Step-by-step explanation:

$100 will be divided to 3 + 1 = 4 parts

the dollars Adam received

= $100 × 1/4

= $25

the dollars Hamza received

= $100 × 3/4

= $75

-----------------------------------------------------------

the dollars Hamza give to Adam

= $75 × 25%

= $75 × 25/100

= $18.75

the dollars Adam have

= $25 + $18.75

= $43.75

the dollars Hamza have

= $75 - $18.75

= $56.25

the ratio

= 43.75：56.25

= 7：9

The height of the building is approximately 102.86 meters.

Given that from a certain distance, the angle of elevation to the top of a building is 17 degrees. At a point 50 meters closer to the building, the angle of elevation is 31 degrees. To find the height of the building.In the given figure, AB is a building and C and D are two different points at a certain distance from the building. So that, angle BCA = 17° and angle BDA = 31°.We have to find the height of the building AB.

Now, let's find the distance between the building and point C and D. Let, BC = x50 meters closer to the building, so BD = x + 50 metersWe know, tangent of an angle = Perpendicular / BaseFor the angle 17°, we have to find AC, so;tan(17°) = AB / ACAB = AC tan(17°) ---(1)For the angle 31°, we have to find AD, so;tan(31°) = AB / ADAB = AD tan(31°) ---(2)Now, find the difference between (1) and (2).AC tan(17°) - AD tan(31°) = 0AC / AD = tan(31°) / tan(17°) [Divide both sides by AD tan(17°)]AC / (AD + 50) = tan(31°) / tan(17°) ----(3)We know the value of (AC + AD) is the actual distance between the building and the point.

So,(AC + AD) = x + (x + 50) = 2x + 50 metersNow we can use the value of AC / (AD + 50) in equation (3) and solve for AB.AB = AC tan(17°) = (2x + 50) tan(17°) tan(31°) / (tan(31°) - tan(17°))Substitute the value of AB from equation (1), so;AC tan(17°) = (2x + 50) tan(17°) tan(31°) / (tan(31°) - tan(17°))AC = (2x + 50) tan(31°) / (tan(31°) - tan(17°))Now, let's use the value of AC in equation (1),AB = AC tan(17°) = (2x + 50) tan(17°) tan(31°) / (tan(31°) - tan(17°)) = 102.86 meters (approx.)So, the height of the building is AB = 102.86 meters (approx.)

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Answer:

cos(θ) =  -3/√10

sin(θ) =   1/√10

tan(θ) =  -1/3

Step-by-step explanation:

When we have a point (x, y), the angle generated between the positive x-axis and a ray that connects the origin and the point, is defined by:

cos(θ) = x/(√(x^2 + y^2))

sin(θ) = y/(√(x^2 + y^2))

tan(θ) = y/x

Now we have the point (-3, 1), then we have:

x = -3

y = 1

√(x^2 + y^2) = √((-3)^2 + 1^2) = √10

Then we just need to replace these values in the given formulas:

cos(θ) = x/(√(x^2 + y^2)) = -3/√10

sin(θ) = y/(√(x^2 + y^2)) =  1/√10

tan(θ) = y/x = 1/-3 = -1/3

Answer:

22/15

7/6

Step-by-step explanation:

Have a blessed day

Answer:

4/5 + 2/3= 1 7/15

1 1/2-2/6= 1 1/6

Step-by-step explanation:

1. 4/5 × 3 = 12/15

2/3 × 5 = 10/15

12/15 + 10/15 = 22/15= 1 7/15

2. 1 1/2×3= 1 3/6

1 3/6-2/6= 1 1/6