Find the point of intersection of the lines given below and then find the plane determined by these lines x=3t+1, y=4t+4, z = 6t + 2, 0

The total population of the wolves after 2 years will be 500 + 125 = 625 wolves

a) After 1 year, the number of wolves in the forest will increase by 25% of the current population, which is 400 wolves.

The increase in population is equal to 0.25 * 400 = 100 wolves

The total population after 1 year will be 400 + 100 = 500 wolves

b) After 2 years, the number of wolves in the forest will increase by 25% of the population from the previous year, which is 500 wolves.

The increase in population is equal to 0.25 * 500 = 125 wolves

The total population after 2 years will be 500 + 125 = 625 wolves

Percentage is a way of expressing a number as a fraction of 100. It is denoted using the symbol %. For example, 50% means 50 per hundred, or 50/100.

Percentage is a convenient way of representing a ratio of a number to a whole, and it is often used to describe proportions and changes in quantities. For example, if a person's salary increases by 10%, their salary will be 10% higher than it was before. In mathematical terms, a percentage can be converted to a decimal or a fraction by dividing it by 100. For example, 50% can be written as 0.5 (as a decimal) or 1/2 (as a fraction).

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Answer:

Please type or attach a math question to be answered.

Answer:

About extravagance philosophy

The correct answer is B. on average it takes 1.8 beers to increase blood alcohol content by 1%.

The equation implies that for each beer consumed, the blood alcohol content increases by 0.0180, meaning it takes 1.8 beers to increase the blood alcohol content by 1%.

It is important to note that different people metabolize alcohol at different rates, so the number of drinks it takes to reach a 0.08% BAC can vary significantly. Generally, it takes about 1.8 drinks to raise the BAC by 1%. This means that an average person would need to consume 15 drinks in order to reach the legal limit of 0.08%.

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The solution to the equations are

a) The city will have 231 streetlights at the end of 49 weeks

b) The city will have 191 streetlights at the end of 29 weeks

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The initial number of streetlights in the city = 133 streetlights

The number of streetlights installed per week = 2 streetlights

So , the number of streetlights after 49 weeks = 49 x number of streetlights installed per week

Substituting the values in the equation , we get

The number of streetlights after 49 weeks = 49 x 2 = 98 streetlights

And , the total number of streetlights after 49 weeks = initial number of streetlights in the city + number of streetlights after 49 weeks

Substituting the values in the equation , we get

The total number of streetlights after 49 weeks A = 133 + 98

The total number of streetlights after 49 weeks A = 231 streetlights

Now ,

Let the number of streetlights after n weeks = 191 streetlights

So , the number of weeks n = ( 191 - initial number of streetlights ) / 2

Substituting the values in the equation , we get

The number of weeks n = ( 58 ) / 2

The number of weeks n = 29 weeks

Hence , the equations are solved

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Margo practices 15 minutes everyday.

Given is that Margo practices for 1/4 of an hour.

Assume that she practices for {x} minutes. We can write -

{x} = 1/4 x 60

{x} = 15 minutes

Therefore, Margo practices 15 minutes everyday.

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The solution to find the five number summary shown below.

When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values.

To find a five number summary we have follow:

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y(0.9) ≈ -658.91 using Euler's method with the ODE [tex]dy/dx + 5y^2 = sin x[/tex], initial condition y(0.3) = 5, and step size h = 0.3.

Given that ODE:

[tex]dy/dx + 5y^2 = sin x[/tex]

with the initial condition:

y(0.3) = 5

and step size h = 0.3, the value of y(0.9) using Euler's method can be approximated as follows:

Starting with the initial condition y0 = 5, use the formula:

[tex]y(x + h) = y(x) + hf(x, y(x))[/tex]

where [tex]f(x, y) = (sin x - 5y^2)/(dy/dx) + 5y[/tex] is the right-hand side of the ODE, and h = 0.3.

After two iterations, the approximate value of y(0.9) is y2 ≈ -658.91.

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Answer:

Attached below is an image with the answer

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Answer:

1) Given

2) Multiplication Property of Equality

3) 3x + 6 = 24     Distributive Property of Addition

4) 3x = 18     Subtraction Property of Equality

5) x = 6     Division Property of Equality

Step-by-step explanation:

[tex]\begin{array}{|l|l|}\cline{1-2}\vphantom{\dfrac12} \rm Statements & \rm Reasons\\\cline{1-2}\vphantom{\dfrac12}\frac{3(x+2)}{4}=6& \rm Given\\\cline{1-2}\vphantom{\dfrac12}3(x+2)=24&\text{Multiplication Property of Equality}\\\cline{1-2}\vphantom{\dfrac12}3x+6=24&\text{Distributive Property of Addition}\\\cline{1-2}\vphantom{\dfrac12}3x=18&\text{Subtraction Property of Equality}\\\cline{1-2}\vphantom{\dfrac12}x=6&\text{Division Property of Equality}\\\cline{1-2}\end{array}[/tex]

Given:

[tex]\dfrac{3(x+2)}{4}=6[/tex]

Apply the Multiplication Property of Equality by multiplying both sides by 4:

[tex]\implies 3(x+2)=24[/tex]

Apply the Distributive Property of Addition:

[tex]\implies 3 \cdot x + 3 \cdot 2=24[/tex]

[tex]\implies 3x+6=24[/tex]

Apply the Subtraction Property of Equality by subtracting 6 from both sides:

[tex]\implies 3x+6-6=24-6[/tex]

[tex]\implies 3x=18[/tex]

Apply the Division Property of Equality by dividing both sides by 3:

[tex]\implies \dfrac{3x}{3}=\dfrac{18}{3}[/tex]

[tex]\implies x=6[/tex]

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

For all numbers, a, b, and c:

Multiplying a number by a group of numbers added together is the same as multiplying each number separately:  

For all numbers, a, b, and c:

For all numbers, a, b, and c:

x = (31 - 2) * 12

Explanation:

Mark divides by 12 then adds 2 to get an answer of 31. We can reverse this process by subtracting 2 from 31 and then multiplying by 12 to get the original number x.

The number of pounds of $9 nuts he must used, 126

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

Randall wants to mix 21 lb of nuts worth $2 per lb,

with some nuts worth $9 per lb

He wants to make a mixture worth $8 per lb

The number of pounds of $9 nuts must he use = ?

Suppose, the number of pounds of $9 = x

Then, According to given condition,

Average price in a mixture  =  (9x + 21 x 2)/x +21

                                              =  8

(9x + 21 x 2)/x +21 = 8

9x + 42 = 8(x + 21)

9x + 42 = 8x + 168

9x - 8x = 168 - 42

x = 126

Hence, the number of pounds of $9 nuts is 126

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Answer:

3 2/5 = 17/5

3 4/6 = 22 / 6 = 11 / 3

17/5 + 11 / 3   need to find and 15 is the least common denominator

51 / 15 + 55 / 15 = 106 / 15

106 / 15 =  7  1 / 15     lowest terms

Note 7 1/15 = 7 2/30      second of 4 answers

The length t of the triangle side is 44 mm

What is the trigonometric ratio?

Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.

according to law of cosines,

t² = 41² +54² - 2 (41)(54) cos x

t² = 41² +54² - 2 (41)(54) ( 3/5)

t² =  1681 + 2916 - (13284/5)

t² =  1681 + 2916 - (13284/5)

t² =  4597 - 2656.8 =1940.2

t = ±√1940.2 = ±44 mm

length is positive

The length t of the triangle side is 44 mm

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Confidence interval refer a range of estimates for an unknown parameter and here unknown parameter is percentage of residents support the increase. So, the correct answer is option(c), i.e., More than 40 percent of the residents support the increase.

We have, A random sample of residents in city J, about whether they supported raising taxes to increase bus service for the city and sample is based on survey.

Significance level = 95%

Confidence interval = (0.46,0.52)

Confidence interval: A confidence interval, in statistics, defines to the probability that a population parameter will fall between two set values. Therefore, the population parameter i.e., the proportion lies in range of between 0.46 to 0.52. Therefore the actual population proportion of people who support the increase is surely greater than 40%, but always be less than 52%. So, out of five options, option (c) is that satisfied this condition. That is more than 40% of the residents support the increase, implies the option( C) is the correct answer.

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The individual entrepreneur's income tax amount is 30,000 manat.

To calculate the income tax amount for an individual entrepreneur in Azerbaijan, we need to first calculate their total taxable income for the year.

Based on the information provided, their total taxable income for the year is calculated below.

40,000 + 30,000 + 25,000 + 55,000 = 150,000 manat.

Next, we need to determine the applicable tax rate based on their taxable income. According to the tax laws in Azerbaijan, the tax rate for individuals with a taxable income of up to 120,000 manat is 20%. For income between 120,000 manat and 200,000 manat, the tax rate is 25%, and for income exceeding 200,000 manat, the tax rate is 30%.

Since the individual's taxable income is 150,000 manat, the applicable tax rate is 20%. Therefore, their income tax amount is 150,000 × 20% = 30,000 manat.

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Answer: x ≤ -6 or x > 5

Step-by-step explanation: There are 2 lines so you will need 2 inequalities to define it.

The first line is going to left means the variable (x) will have to be less than the greatest value of the line (the right most point) which is -6. Therefore, x < 6 with < representing less than. However, we also have to consider the a CLOSED dot at -6 meaning the sign of the inequality is going to be ≤ since we including that point in the inequlity saying x can be equal to or less than 6.

The second line going to the right means x has to be greater than the smallest value of the line which is -5 (the left most point of the line). Therefore, x > 5 (> means greater than). In this case, we do not use ≥ because the point at -5 has a OPEN dot meaning x cannot equal 5 and we can not include that point in our inequality so it would just be x > 5.

So we get x ≤ -6 or x > 5

The sum of the two integers we obtain as a consequence is the quotient. The quotient of 324÷4 would be 081

Division is the process of multiplying one number by any other number to produce a different number. Consequently, the dividend is the number that is divided in this instance. A number's divisor is the one that divides the given number. The quotient is the sum of the two numbers that we arrive at as a result.

The entire number that results from simplifying a fraction is known as the quotient. The quotient is the fraction's decimal representation when it is not possible to simplify a fraction to a whole number. A division issue involving two fractions can also have the quotient as its solution.

When you divide a number, you get a "quotient," and when you multiply it, you get a "product." Less than the dividend and the divisor is the quotient. Greater than the multiplied numbers is the product.

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There were 24 female senators and 72 female members of the house of representatives.

When an algebraic equation is graphed, it always results in a straight line since each term in a linear equation has an exponent of 1. For this reason, it is referred to as a "linear equation."

There are both one-variable and two-variable linear equations.

Given In a certain year there were 96 female officials in Congress which is comprised of the house of reps and the Senator

total female members = 96

let the number of female senators be x,

and there were 48 more female members of the house of reps than female senators,

then the number of females representatives = 48 + x

according to condition

x + 48 + x = 6

2x = 96 - 48

x = 48/2

x = 24

the number of female senators = 24

the number of females representatives = 48 + x

the number of females representatives = 48 + 24 = 72

Hence, female senators, are 24 and female representatives are 72.

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[tex] \: [/tex]

[tex] \: [/tex]

Then ,

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

hope it helps! :)

So,the value of the 30th percentile of the given data will be =P30=4

The cumulative distribution function of a real-valued random variable X, or simply the distribution function of X, assessed at x, is the likelihood that X will have a value less than or equal to x in probability theory and statistics.

Using the Cumulative Distribution Function to Calculate Probabilities

F(x) is a cumulative distribution function that calculates the likelihood that the random variable X is smaller than or equal to x:

To get the cumulative probability that X is less than or equal to 1, multiply P(X=0) by P(X = 0) by (P=1):

First, we will determine the value of the cumulative probability P(X<=x):

x         f(x)       P(X<=x)

1       0.02          0.02

2       0.01          0.03

3       0.2          0.23

4       0.17           0.4

5       0.39           0.79

6       0.2           0.99

7 0.01 1

30th percentile will be the x value,

below which less than or equal to 30% of the data falls.

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Answer:

Neither.

Step-by-step explanation:

Parallel equations have the same y-intercept. Perpendicular equations have negative reciprocal slopes.

First, turn x-y=9 into y-intercept form.

x-y-x=9-x

-y = 9 - x

(-y = 9 - x)-1

The equations are now

y = x-9 and

y= -5x+1 

They don't share the same y-intercept nor do they have negative reciprocal slopes, so it's neither.

Answer: To solve the problem, we need to find the total number of juice boxes.

We know that there are 3 packages of 10 juice boxes, which is 3*10 = 30 juice boxes.

And there are 7 extra juice boxes.

So the total number of juice boxes is 30 + 7 = 37 juice boxes.

We can write the number of tens and ones as:

Tens: 3

Ones: 7

And the total number of juice boxes is 37.

Step-by-step explanation:

Answer:

Charlotte can skate for 3 hours.

Step-by-step explanation:

To solve this equation, we can set up an equation that looks like this: 13.50h = 40.50

We can then divide both sides of the equation by 13.50 to get: h = 40.50/13.50

Simplifying this, we get: h = 3

Therefore, Charlotte can skate for 3 hours.

The total manufacturing cost assigned to Job P is $84,240.

The total manufacturing cost consists of direct material, direct labor, variable overhead, and fixed overhead costs.

The variable manufacturing costs include direct materials, direct labor, and variable overhead while the fixed overhead costs are period costs related to the production process.

                                                              Molding    Fabrication      Total

Machine hours used                                4,200         2,520           6,720

Fixed manufacturing overhead           $16,800    $25,200     $ 42,000

Fixed manufacturing overhead per hr    $4              $10

Variable manufacturing overhead

per machine-hour                               $ 1.40           $ 2.20

                                         Job P       Job Q

Direct materials           $ 21,840    $ 13,440

Direct labor cost        $ 35,280    $ 12,600

Actual machine hours used:

Molding                           2,890          1,340

Fabrication                       1,010          1,480

Total                                3,900        2,820

Actual Manufacturing Costs (Job P):

                                                             Job P

Direct materials                                   $21,840

Direct labor costs                               $35,280

Overheads:                        

Variable                                               $5,460 (3,900 x $1.40)

Fixed:

Molding = $11,560 ($4 x 2,890)

Fabrication = $10,100 ($10 x 1,010)   $21,660

Total manufacturing costs               $84,240

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The factor by which g([tex]x[/tex]) grows over the interval from 14 to 16 is 1.1429.

The factor is a number that can be divided evenly into another number. For example, 2, 3, 5 and 10 are all factors of 10. When two or more numbers are multiplied together, each number is a factor of the product.

The factor by which g(x) grows over the interval from 14 to 16 can be determined by calculating the ratio of the values of g(x) at the endpoints of the interval.

At x = 14, g(x) = 4(14) = 56

At x = 16, g(x) = 4(16) = 64

The factor by which g(x) grows over the interval from 14 to 16 is 64/56 = 1.1429.

This means that g(x) grows by a factor of 1.1429 over the interval from 14 to 16.

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Answer:

1350 millivolts

Step-by-step explanation:

The output voltage is calculated as follows:

Output voltage = Input voltage * Gain

In this case:

Output voltage = 45 mV * 30 = 1350 mV = 1350 millivolts

So, the output voltage would be 1350 millivolts.

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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Student use simple random sampling method.

There are two types of data sets are collected for the research. They are population and sample. Population includes all the elements from the data set. Sample is a part of population.

A student is researching if people like to study at the city library.

The student stands by the door of the city library and surveys people walking in.

It is type of simple random sampling.

In this simple random sampling every member of an population has an equal chance of being selected.

This is one of the probability sampling methods.

Hence, student use simple random sampling method.

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