Please help find the equation and tell me how you found it! If you don't show work I swear I'll report it and don't you dare give the wrong answer. i ain't giving 40 points for no reason.

Both functions are decreasing and have the same rate of change.

========================================================

Explanation:

The slope intercept form is y = mx+b

The first equation y = -2x-3 has slope m = -2, which is the rate of change.

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

Let's find the slope of the line through (0,0) and (3,-6)

\((x_1,y_1) = (0,0) \text{ and } (x_2,y_2) = (3,-6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-6 - 0}{3 - 0}\\\\m = \frac{-6}{3}\\\\m = -2\\\\\)

Or you can use the shortcut that m = y/x = -6/3 = -2. This shortcut only works when the line goes through the origin. We divide the nonzero x,y values.

The slope of the second line is the same as the first line's slope.

Both lines have the same rate of change.

Both lines are decreasing due to the negative slope value.

Visually, each line goes downhill as we move from left to right.

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

Side note: Both lines have the same slope (-2), but different y intercepts. This makes the lines parallel.

Answer:

32.5 minutes

Step-by-step explanation:

10/4 = laps per minute

(10/4) x 13 = minutes in 13 laps

32.5

Hope This Helps! •v•

(4.5/3) * 4 = 6

That is, the time per lap times the # of laps

Answer:

180°

Step-by-step explanation:

E D G E N U I T Y

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The length of the segment A'B' is 4

The length of the segment B'B is 4

What are similar triangles?

If two triangles' corresponding angles and sides are identical and their corresponding sides are proportional, or if the ratios between the lengths of the corresponding sides are comparable, then two triangles are said to be similar.

ABC and A'B'C are similar triangles

So, we have

A'B'/AB = B'C/BC = CA'/CA

=> A'B'/12 = 2/BC = 3/9

=> A'B'/12 = 2/BC = 1/3

=> A'B'=12/3 = 4

And BC= 2*3 = 6

B'B= BC-B'C = 6-2 = 4

So, the length of the segment A'B' is 4

the length of the segment B'B is 4

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In 2220 ways the innkeeper can assign the guests to the rooms i.e. Option B is correct.

As per the question,

There are Five friends and Five rooms,

⇒ 0 rooms of 2, 5 rooms of 1

⇒ 1 room of 2, 3 rooms of 1

⇒ 2 rooms of 2, 1 room of 1

Guests can be allotted rooms by the innkeeper as

              1, 1, 1, 1, 1,                 1, 2, 2,             or            1, 1, 1, 2

                                         =   5 × ( 4 2 ) × ( 5 2 ) ( 3 2 )

                                              assign frequencies to rooms

                                         =   5 × 4 × 3! ( 5 2 )

Total number of ways ( N )  =   To assign ( 1, 2, 2 ) + To assign ( 1, 2, 2 )  +      

                                                   To assign ( 1, 1, 1, 1, 1 )

                                              =   5 × ( 4 2 ) × ( 5 2 ) ( 3 2 ) +  5 × 4 × 3! ( 5 2 ) +

                                                   5!

                                              =    5 × ( 4 2 ) × ( 5 2 ) ( 3 2 ) + 120 ( 5 2 ) + 120

                                        N   =    2220 ways    

Therefore, The innkeeper can assign guests to the rooms in 2220 ways with no more than two friends per room i.e. option B is valid.

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Answer:

Both are related as both have the answer same that is x=2.

The expected correlation between the supply of a commodity (x) and the price of a commodity (y) depends on the nature of the commodity and market dynamics. However, in general, we would expect a **negative correlation** between the supply of a commodity and its price. Correct option is C.

The law of supply states that as the supply of a commodity increases, assuming demand remains constant, the price tends to decrease. This is because an increase in supply leads to a higher quantity of the commodity available in the market, potentially causing an excess supply or surplus. In such situations, suppliers may lower prices to attract buyers and reduce their inventory.

Conversely, when the supply of a commodity decreases, assuming demand remains constant, the price tends to increase. A decrease in supply results in a lower quantity available in the market, potentially leading to a scarcity or shortage. In such scenarios, suppliers may increase prices to maximize their profits due to the limited availability of the commodity.

It's important to note that real-world markets can be influenced by various factors, including changes in demand, production costs, technological advancements, government policies, and market competition, which can complicate the relationship between supply and price. Nonetheless, the general expectation is that a decrease in supply tends to lead to an increase in price, and an increase in supply tends to lead to a decrease in price, indicating a negative correlation.

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Answer:

sodium chloride

Step-by-step explanation:

It is the chemical element (symbol Na) with an atomic number of 11 and atomic weight of 22.98977. It is a soft, waxy, silvery, reactive alkali metal that is never found unbound in nature.

Hicksian demand functions are:x1** = 2P₁x₂ ; x₂** = P₂²

Utility function: u(x1+x2) = .5ln(x1) + .25ln(x₂) .The Marshallian demand functions are: x1* = - and x₂* = P₂.

The indirect utility function is found by substituting Marshallian demand functions into the utility function and solving for v(P₁, P₂, Y).u(x1*,x2*) = v(P₁,P₂,Y) ⇒ u(-, P₂) = v(P₁,P₂,Y) ⇒ .5ln(-) + .25ln(P₂) = v(P₁,P₂,Y) ⇒ v(P₁,P₂,Y) = - ∞ (as ln(-) is not defined)

Thus the indirect utility function is undefined.

Minimum expenditure function can be derived from the Marshallian demand function and prices of goods:

Exp = P₁x1* + P₂x2* = P₁(-) + P₂P₂ = -P₁ + P₂²

Minimum expenditure function is thus:

Exp = P₁(-) + P₂²

Hicksian demand functions can be derived from the utility function and prices of goods:

H1(x1, P1, P2, U) = x1*H2(x2, P1, P2, U) = x2*

Hicksian demand functions are:

x1** = 2P₁x₂

x₂** = P₂²

If there are no restrictions on the amount of money the consumer can spend, the Hicksian demand functions for x1 and x2 coincide with Marshallian demand functions.

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Answer:

0

Step-by-step explanation:

Slope = (y-y1)/(x-x1)

0

a) P20 is the 20th percentile, which separates the lowest 20% of the data from the highest 80%. To find P20, you would need to put the data in numerical order and find the value at the 20th percentile.

b) P67 is the 67th percentile, which separates the lowest 67% of the data from the highest 33%. To find P67, you would need to put the data in numerical order and find the value at the 67th percentile.

c) 34 is the 34th percentile, which separates the lowest 34% of the data from the highest 66%. It is the value at the 34th percentile

d) A boxplot is a graphical representation of a dataset that shows the minimum, first quartile, median, third quartile, and maximum of the data. To create a boxplot, you would need to put the data in numerical order, then calculate the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum of the data. These values are then plotted on a graph, with the box representing the interquartile range (Q3 - Q1) and the whiskers representing the minimum and maximum values. The outliers(if any) will be plotted as dots

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The ratio that's given indicates that the length of the actual wall will be 49 feet.

From the information given, the blueprint shows a layout of a building and for every 4 inches in the blueprint represents 7 feet of the actual building.

Therefore, the length of the actual wall will be:

= 7/4 × 28

= 49

In conclusion, the correct option is 49 feet.

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Answer:

289m = 2,890dm

Step-by-step explanation:

you multiply the meters by 10

Answer:

the axis of symmetry is X = 1

Step-by-step explanation:

make sure to ask if you need any further guidance.

Answer:

15in

Step-by-step explanation:

Answer:

This free slope calculator solves for multiple parameters involving slope and the equation of a line. It accepts inputs of two known points, or one known point

Step-by-step explanation:

there is no need to that and I'm in 5th grade and that is easy peasy lemon squeezy cuz my last name is lemon

It should be noted that ordering from least to greatest will be:

52,650 < 327,600 < 3,364,032 < 15,187,500

The letters can repeat, but the numbers cannot repeat.

There are 26 options for each of the two letters, and 9 options for each of the three digits. Therefore, the total number of possible license plates is:

26 x 26 x 9 x 8 x 7 = 3,364,032

The numbers can repeat, but the letters cannot repeat.

In this case, there are 26 options for the first letter and 25 options for the second letter (since the letters cannot repeat). There are 9 options for each of the three digits. Therefore, the total number of possible license plates is:

26 x 25 x 9 x 9 x 9 = 52,650

Neither the letters nor the numbers can be repeated.

For the first letter, there are 26 options. For the second letter, there are 25 options (since it cannot be the same as the first letter). For the first digit, there are 9 options. For the second digit, there are 8 options (since it cannot be the same as the first digit). For the third digit, there are 7 options (since it cannot be the same as the first two digits). Therefore, the total number of possible license plates is:

26 x 25 x 9 x 8 x 7 = 327,600

The letter "o" cannot be used, but there are no restrictions on repeating the other letters or numbers.

There are 25 options for each of the two letters (since "o" cannot be used). There are 9 options for each of the three digits. Therefore, the total number of possible license plates is:

25 x 25 x 9 x 9 x 9 = 15,187,500

Ordering from least to greatest:

52,650 < 327,600 < 3,364,032 < 15,187,500

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Answer: B

Step-by-step explanation:

The line is curved which makes it a non-linear function.

Answer:

\( - 9 \sqrt{48} - 8 \sqrt{12} \\ = - 9 \times 4 \sqrt{3} - 8 \times 2 \sqrt{3} \\ = - 36 \sqrt{3} - 16 \sqrt{3} \\ = \sqrt{3} ( - 36 - 16) \\ = \sqrt{3} \times - 52 \\ = - 52 \sqrt{3} \\ thank \: you\)

Answer:

​3x−1

Step-by-step explanation:

1 Split the second term in 6{x}^{2}+x-16x

​2

​​ +x−1 into two terms.

\frac{6{x}^{2}+3x-2x-1}{4{x}^{2}-1}

​4x

​2

​​ −1

​

​6x

​2

​​ +3x−2x−1

​​  

2 Factor out common terms in the first two terms, then in the last two terms.

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

​4x

​2

​​ −1

​

​3x(2x+1)−(2x+1)

​​  

3 Factor out the common term 2x+12x+1.

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

​4x

​2

​​ −1

​

​(2x+1)(3x−1)

​​  

4 Rewrite 4{x}^{2}-14x

​2

​​ −1 in the form {a}^{2}-{b}^{2}a

​2

​​ −b

​2

​​ , where a=2xa=2x and b=1b=1.

\frac{(2x+1)(3x-1)}{{(2x)}^{2}-{1}^{2}}

​(2x)

​2

​​ −1

​2

​​  

​

​(2x+1)(3x−1)

​​  

5 Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b)a

​2

​​ −b

​2

​​ =(a+b)(a−b).

\frac{(2x+1)(3x-1)}{(2x+1)(2x-1)}

​(2x+1)(2x−1)

​

​(2x+1)(3x−1)

​​  

6 Cancel 2x+12x+1.

\frac{3x-1}{2x-1}

​2x−1

​

​3x−1

​​  

\(\it tan60^o=\dfrac{AB}{BC} \Rightarrow \sqrt3=\dfrac{AB}{50} \Rightarrow AB=50\sqrt3\approx50\cdot1,732\approx87\ m\)

Answer:

Indian/Alaska Native

Step-by-step explanation:

Answer:

Caucasian or Asian, I don't knoww

Step-by-step explanation:

I got my answer by the power of guessing, im probably wrong lol

(a) The domain closed and bounded.

(b) The domain bounded.

(c) The domain closed.

(d) The domain bounded.

(e) The domain closed and bounded.

(f) The domain closed and bounded.

In this question, we have been given some domains.

We need to check which domains are closed and which are bounded.

A domain of function is said to be closed if the region R contains all boundary points.

A bounded domain is nothing but a domain which is a bounded set.

(a) {(x,y)∈R2:x^2+y^2≤1}

The domain of x^2+y^2≤1 contains set of all points (x, y) ∈R2

so, the domain closed and bounded.

(b) {(x,y)∈R2:x2+y2<1}

The domain of x^2+y^2 < 1 contains set of all points (x, y) ∈R2

so, the domain is bounded.

(c) {(x,y)∈R2: x ≥ 0}

The domain of x ≥ 0 is R2 - {x < 0}

So, the domain is closed.

(d) {(x, y) ∈ R2 : x > 0,y > 0}

The domain is R2 - {(x, y) ≥ 0}

So, the domain is bounded.

(e) {(x, y) ∈ R2 : 1 ≤ x ≤ 4, 5 ≤ y ≤ 10}

The domain is closed and bounded.

(f) {(x,y)∈R2:x>0,x^2+y^2≤10}

The domain is closed and bounded.

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The sample size is: n=39

Class        frequency
120-125           1
125-130            3
130-135             7
135-140             13
140-145             10
145-150               3
150-155               2

Total                   39

∵Therefore, The sample size is: n=39


A histogram is a graphical representation of a frequency distribution with continuous classes that has been grouped. It is an area diagram with bases and intervals between class boundaries, and areas proportional to frequencies in the corresponding classes. Because the base spans the intervals between class boundaries, all rectangles in such representations are adjacent.  

How Do You Plot a Histogram?

Answer:

Prism R (A)

Step-by-step explanation:

s.jokdjmfwdisolkjfxzdcm0[wpsdouikfx-pdskmx0,9fpoewksa-rd0[opcikwesd-9gpoxvkew-d9so understand?

The probability in each case scenario as described in the task content are as follows;

a) P(a) = 7/16

b) P(b) = 7/16

c) P(c) = 7/16

d) P(d) = 7/16

Given: There are 14 freshmen and 18 sophomore students and the students were selected with replacement.

a) The required probability that the 2nd student is also a freshman if the first student was a freshman since the selection is with replacement is simply;

P(a) = 14/32 = 7/16.

b) The probability that the 2nd student was a

freshman if the first student was a sophomore is;

P(b) = 14/32 = 7/16.

c). The required probability that the 2nd student is also a freshman if the first student was a freshman since the selection is with replacement is simply;

P(c) = 14/32 = 7/16.

d) The probability that the 2nd student was a

freshman if the first student was a sophomore is;

P(d) = 14/32 = 7/16.

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Null Hypothesis (H0): There is no positive correlation between the rankings of TV shows by husbands and wives in married couples.

Alternative Hypothesis (HA): There is a positive correlation between the rankings of TV shows by husbands and wives in married couples.

In simpler terms, the null hypothesis suggests that there is no relationship or association between the rankings of TV shows by husbands and wives.

The alternative hypothesis, on the other hand, proposes that there is a positive correlation between the rankings, indicating that husbands and wives tend to have similar preferences when it comes to TV shows.

The competing hypotheses in this study aim to determine whether there is evidence to support the idea that husbands and wives tend to like the same TV shows.

The null hypothesis assumes that there is no correlation between the rankings, meaning that the preferences of husbands and wives are independent of each other.

The alternative hypothesis, in contrast, suggests that there is a positive correlation, indicating a tendency for spouses to have similar preferences for TV shows.

To test these hypotheses, the researchers used the Spearman rank correlation coefficient (rs) to quantify the strength and direction of the relationship between the rankings.

The Spearman rank correlation is a statistical measure that assesses the monotonic relationship between two ranked variables, in this case, the rankings of TV shows by husbands and wives. A value of rs = 0.47 indicates a moderate positive correlation between the rankings.

To evaluate the hypotheses, statistical tests can be conducted. The significance level (alpha) is typically set in advance (e.g., 0.05) to determine the threshold for accepting or rejecting the null hypothesis.

If the p-value associated with the test is less than the chosen significance level, the null hypothesis is rejected in favor of the alternative hypothesis, suggesting that there is evidence of a positive correlation between the rankings of TV shows by husbands and wives.

Conversely, if the p-value is greater than the significance level, there is insufficient evidence to reject the null hypothesis, and the data does not provide support for a positive correlation.

It is important to note that the interpretation of the Spearman rank correlation coefficient and the conclusions drawn from the study should consider other factors, such as the sample size, sampling method, and the specific characteristics of the TV shows ranked by the couples.

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