State two ordered pairs that satisfy each linear relation and one ordered pair that does not. y=5x-1

Work Shown:

c^5 x c

c^5 x c^1

c^(5+1)

c^6

The rule is to add the exponents when multiplying exponential expressions. The bases must be the same. The rule in symbolic form is a^b*a^c = a^(b+c)

Answer:

x = -7

Step-by-step explanation:

First, we simplify:

-3x = 21

Then, we divide -3 on both sides:

x = -7

Hope this helps ^^

In mathematics, the point below which a specified percentage of the observations fall is commonly referred to as the percentile.

A percentile is a measure that indicates the relative position of a particular value within a dataset.

For example, if a value is at the 80th percentile, it means that 80% of the observations in the dataset are below that value, and only 20% of the observations are above it.

Percentiles are often used to analyze and understand the distribution of data, especially in fields such as statistics, probability, and data analysis. They provide insights into how individual data points compare to the overall dataset and help identify outliers or extreme values.

A percentile is a statistical measure that indicates the relative standing of a particular value within a dataset. It represents the point below which a specified percentage of the observations or data points fall. Percentiles are primarily used to understand the distribution of data and analyze how individual values compare to the overall dataset.

To calculate a percentile, the dataset is arranged in ascending order, from the smallest value to the largest value. The position of a specific percentile is then determined based on the percentage of data points below it. For example, the 75th percentile represents the value below which 75% of the data points fall.

Percentiles are commonly used in various fields, including statistics, probability, and data analysis. They provide valuable insights into the spread, variability, and distribution of data. Here are a few key points to consider:

1. Median: The median is the 50th percentile, representing the value that divides the dataset into two equal halves. It is a measure of central tendency and provides information about the middle point of the distribution.

2. Quartiles: Quartiles divide the dataset into four equal parts. The first quartile, or the 25th percentile (Q1), represents the value below which 25% of the data points fall. The third quartile, or the 75th percentile (Q3), represents the value below which 75% of the data points fall. The difference between Q3 and Q1 is known as the interquartile range (IQR) and provides insights into the spread of the middle 50% of the data.

3. Percentile Ranks: Percentile ranks indicate the percentage of data points that are below a specific value. For example, if a student scores in the 80th percentile on a standardized test, it means they performed better than 80% of the test-takers.

4. Outliers: Percentiles can be useful in identifying outliers, which are data points that significantly deviate from the rest of the dataset. Extremely high or low percentiles may indicate unusual or extreme values that warrant further investigation.

5. Normal Distribution: In a normal distribution, the 50th percentile (median) coincides with the mean and mode, and specific percentiles have known standard deviations from the mean (e.g., the 68-95-99.7 rule).

Percentiles are versatile tools for summarizing and analyzing data, providing valuable insights into the distribution and relative positions of individual values. They enable comparisons and help make informed decisions based on the characteristics of a dataset.

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Answer:

1/6x or just 1/6

Step-by-step explanation:

the equation is y = mx + b and 1/6x is in place m which is the slope

stream blueberry eyes by MAX AND SUGA periodTt

The slope is also known as the gradient and the rate of change of the line. The slope of the line for the equation y= 1/6x + 1/4 is 1/6

The slope is also known as the gradient and the rate of change of the line, The equation of aline in slope intercept form is expressed as:

y = mx + b

where

m is the slope

b is the y-intercept

Given the equation y = 1/6x + 1/4

Compare

mx = 1/6x

m = 1/6

Hence the slope of the line for the equation y= 1/6x + 1/4 is 1/6

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After Louis XVI's failed attempts to sabotage the Assembly and to keep the three estates separate, the Estates-General ceased to exist, becoming the National Assembly. It renamed itself the National Constituent Assembly on July 9 and began to function as a governing body and constitution-drafter.

National assembly

The National Assembly was the first revolutionary government of the French Revolution and existed from June 14th to July 9th in 1789. The National Assembly was created amidst the turmoil of the Estates-General that Louis XVI called in 1789 to deal with the looming economic crisis in France.

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Answer:

4

Step-by-step explanation:

Because 2 x 2 = 4 :>

Answer:

Step-by-step explanation:

It's right

a. The function f(x) = x^7 - 2x^3 + 5 is continuous for all real values of x. In interval notation, we can express this as (-∞, +∞).

b. The function f(x) = (x^2 - 9)/(x^2 - 4) is continuous for all x except x = ±2. In interval notation, we can express this as (-∞, -2) ∪ (-2, 2) ∪ (2, +∞).

c. The function f(x) = √(x + 1)/x is continuous for all x > -1. In interval notation, we can express this as (-1, +∞).

d. The function f(x) = sin(1/(x^2 - 1)) is continuous for all x such that x^2 - 1 ≠ 0. In other words, it is continuous for x values outside the interval (-1, 1). In interval notation, we can express this as (-∞, -1) ∪ (-1, 1) ∪ (1, +∞).

e. The function f(x) = e^(1/x) is continuous for all x ≠ 0. In interval notation, we can express this as (-∞, 0) ∪ (0, +∞).

f. The function (f) (x) = ln (x-3) is continuous for all x > 3. In interval notation, we can express this as (3, +∞).

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Answer: 3+4 =7 this is the right answer :)

Step-by-step explanation:

Answer:

this was so difficult but the answer is 7

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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The number of collections of 50 coins that can be chosen from this pile is: C(125, 25) = 177,100,565,136,000
This is a very large number, which shows that there are many possible collections of 50 coins that can be chosen from the pile.

If the pile contains only 25 quarters but at least 50 of each other kind of coin, then the total number of coins in the pile must be at least 50 + 50 + 50 = 150. Let's assume that there are 150 coins in the pile, including the 25 quarters.
To choose a collection of 50 coins from this pile, we need to exclude the 25 quarters and choose 25 coins from the remaining 125 coins. We can do this in C(125, 25) ways, which is the number of combinations of 25 items chosen from a set of 125 items.
Therefore, the number of collections of 50 coins that can be chosen from this pile is:
C(125, 25) = 177,100,565,136,000

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There are 351 possible collections of 50 coins that can be chosen, considering the given conditions.

To find the number of collections of 50 coins that can be chosen, we will consider the given conditions:
The pile contains only 25 quarters.

There are at least 50 of each other kind of coin (pennies, nickels, and dimes).
Now, let's break this down step by step:
Determine the minimum number of coins from each kind required to make a collection of 50 coins.
- 25 quarters (as it's the maximum available)
- The remaining 25 coins must be a combination of pennies, nickels, and dimes.
Find the different combinations of pennies, nickels, and dimes that can be chosen to make a collection of 50 coins.
- We need 25 more coins, so we can divide them into three groups:
 a) Pennies (P)
 b) Nickels (N)
 c) Dimes (D)
Calculate the combinations for the remaining 25 coins.
- Using the formula for combinations with repetitions: C(n+r-1, r) = C(n-1, r-1)
 Where n is the number of types of coins (3) and r is the number of remaining coins (25)
- C(3+25-1, 25) = C(27, 25) = 27! / (25! * 2!) = 351.

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Learn how to support someone who is depressed while keeping your own life on track.

Answer:

Okay..... Yeah..... That's hard.....

Best option is dropping out.....

180-(45+15) = 120

4x+120=180

4x=60

x=15

Since there are a total of 15 shirts,

5 red shirts+4 white shirts= 9 shirts total

3 blue shirts+3 purple shirts= 6 shirts total

The odds that you would pick a red shirt and then a white are 3:2

3 being the 9 red and white shirts combined.

2 being the 6 purple and blue shirts combined.

9:6 simplified=3:2

9/3=3

6/3=2

3:2

Answer: The odds that you would pick a red shirt then a white shirt would be 3:2 or 60%

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 2250\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &17 \end{cases}\)

\(2250 = P\left(1+\frac{0.06}{4}\right)^{4\cdot 17} \implies 2250=P(1.015)^{68} \\\\\\ \cfrac{2250}{(1.015)^{68}}=P\implies 817.51\approx P\)

The amount for deposited into account is, $817.5.

We have to given that,

Interest rate = 6%

Final amount = $2250

Time = 17 years

Now, We can use the formula,

\(A = P (1 + \frac{r}{n} )^{n*t}\)

Where, A = Final amount

P = Principal amount

r = Interest rate

n = 4

t = time in years

Here, A = 2250,

r = 6% = 0.06

t = 17 years

Substitute all the values, we get;

\(2250 = P(1 + \frac{0.06}{4} )^{4*17}\)

2250 = P(1 + 0.015)⁶⁸

2250 = P (1.015)⁶⁸

P = 817.5

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Answer:

1.6

Step-by-step explanation:

12.8/8 = 1.6

15.2/9.5 = 1.6

Scale factor = 1.6

answer:

0.25 (or 1/4) x 20 = 5

step-by-step explanation:

math. 0.25x20 = 5

Recall that two equations in standard form represent parallel lines if they are as follows:

Where A>0, and all the coefficients are integers.

Therefore the equation of a parallel line to the given line is as follows:

Since the parallel line passes through (15,4) then:

Simplifying the above result we get:

Therefore:

Solving the above equation for y we get:

Answer: Last option.

Answer:

D

Step-by-step explanation:

The slope of the the straight line equation 3x+5y=11 is (−35)Hence the slope of the line parallel is same to the given line i.e,(−35) We can write the equation in the following form slope intercept form i.e, y=mx+cHere c=−6 and m=−35The answer is y=−35x−6⇒5y=−3x−30⇒3x+5y=−30Hope it helps...Thanks you...

The alternative hypothesis states that the difference is greater than zero.

What Are Tails in a Hypothesis Test?

First, we need to cover some background material to understand the tails in a test. Typically, hypothesis tests take all of the sample data and convert it to a single value, which is known as a test statistic. You’re probably already familiar with some test statistics.

For example, t-tests calculate t-values. F-tests, such as ANOVA, generate F-values. The chi-square test of independence and some distribution tests produce chi-square values. All of these values are test statistics.

Keep in mind that this t-distribution assumes that the null hypothesis is correct for the population. Consequently, the peak (most likely value) of the distribution occurs at t=0, which represents the null hypothesis in a t-test. Typically, the null hypothesis states that there is no effect. As t-values move further away from zero, it represents larger effect sizes. When the null hypothesis is true for the population, obtaining samples that exhibit a large apparent effect becomes less likely, which is why the probabilities taper off for t-values further from zero.

Hence the answer is the alternative hypothesis states that the difference is greater than zero.

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Therefore the correct options are ,6 with multiplicity 2 ,-2 with multiplicity 2

The equation (x-6)²(x+2)² can be factored by using the difference of squares factorization. This factorization states that for any two binomials a-b and a+b, their product can be written as (a-b)(a+b)= a²-b². In this case, we have (x-6)² and (x+2)², which can be factored as (x-6)² = (x-6)(x-6) = (x-6)², and (x+2)² = (x+2)(x+2) = (x+2)².

So, the equation (x-6)²(x+2)² can be factorized as (x-6)²(x+2)² = (x-6)² * (x+2).

The roots of the equation are the values of x that make the equation equal to zero. To find the roots of the equation, we set each of the factors to zero and solve for x.

(x-6)² = 0, x = 6 , 6

(x+2)² = 0, x = -2 ,-2

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Complete question:

Find the root(s) of f (x) = (x- 6)2(x + 2)2.

-6 with multiplicity 1

-6 with multiplicity 2

6 with multiplicity 1

6 with multiplicity 2

-2 with multiplicity 1

-2 with multiplicity 2

2 with multiplicity 1

2 with multiplicity 2

Answer:

Step-by-step explanation:

( \(x_{1}\) , \(y_{1}\) )

( \(x_{2}\) , \(y_{2}\) )  

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

~~~~~~~~~~~~~~~~~~  

(a). (5.5, 2.2)

(11, 4.4)

m = \(\frac{4.4-2.2}{11-5.5}\) = \(\frac{2.2}{5.5}\) = \(\frac{2}{5}\)

The slope of the line is \(\frac{2}{5}\)

(b). The line passes the (0, 0), therefore the relation is proportional y = kx and coefficient "k" is the slope of the giving line.

y = \(\frac{2}{5}\) x

(c). From the slope we can see that Squidward runs 2 laps per 5 minutes, then Squidward runs 2 ÷ 5 = 0.4 lap per minute.

(d). 0.4 × 20 = 8 laps

Answer:

x = 17

Step-by-step explanation:

The two angles form a right angle ( indicated by the square )

Right angles have a measure of 90°

Thus, x + 73 = 90

90 - 73 = 17

Hence, x = 17

Chloe runs her air conditioner for a total of 4 months, or 120 days. Chloe spends $176.40 per year on utility bills for the air conditioner during the four hottest months.

The reason for this expense is the need for cooling during these months, and the cost associated with running the air conditioner for 7 hours per day at a rate of $0.21 per hour.

To calculate the annual cost of running Chloe's air conditioner, we need to consider the number of hours per day, the cost per hour, and the number of days the air conditioner is used.

1. First, let's determine the total number of hours the air conditioner runs during the four hottest months:
7 hours/day * 30 days/month * 4 months = 840 hours

2. Now, we can calculate the total cost by multiplying the number of hours by the cost per hour:
840 hours * $0.21/hour = $176.40

At 7 hours per day, that's a total of 840 hours of use. At a cost of 21 cents per hour, Chloe spends 0.21 x 840 = $176.40 per year on utility bills for her air conditioner.

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Thus,  the estimated probability that a randomly selected customer would want their sandwich with cheese can range from 50% to 80% depending on the above factors.

The estimated probability that a randomly selected customer would want their sandwich with cheese can vary depending on different factors. However, we can make some assumptions based on data analysis and customer preferences.

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Complete question

what is the estimated probability that a randomly selected customer would want their sandwich with cheese?

Answer:

ASA

Step-by-step explanation:

Answer:

It costs $15 a month to play the video game.

The initial cost is $45.

The y-variable represents the cost in dollars.

The x-variable represents the number of months.

Step-by-step explanation:

If you break the function down, you're going to have:

Total = Monthly Cost + Initial Cost

In this case, 15x is your monthly cost, as you can think of x as the number of months meaning:

Our initial cost is always going to be a set amount, thus our constant, $45.

This leaves y as our total, which makes sense, as it's all alone on one side of the equation, where as all the costs are bunched together on the right side.

Hope this helps!

\(\cfrac{1}{3}(9x+12)=15\implies \cfrac{9x+12}{3}=15\implies 9x+12=45 \\\\\\ 9x=33\implies x=\cfrac{33}{9}\implies x=\cfrac{3}{3}\cdot \cfrac{11}{3}\implies x=\cfrac{11}{3}\implies x=3\frac{2}{3}\)

Answer:

x ≤ -27

Step-by-step explanation:

\(\frac{x}{-9}\) ≥ 3

to isolate the 'x' we need to multiply each side by -9

whenever you multiply or divide an inequality by a negative you must reverse the inequality symbol, therefore:

x ≤ -27

Answer:

The length of a is equal to 14.9.

The angle measure of b is equal to 71°.

The length of c is equal to 25.5.

General Formulas and Concepts:
Pre-Calculus

Law of Sines:
\(\displaystyle \bold{ \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} }\)

Step-by-step explanation:

Step 1: Define

Identify given from triangle.

Length corresponding with x°: 14.9

Other given angle: 71°

Length corresponding with 71°: 25.5

Step 2: Find Values

∴ we have completed the expression using Law of Sines.

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Topic: Precalculus

Unit: Trigonometry