Is this a function? (2,3)(0,4)(5,9)(6,4)

-yes?
-No?

Answer:

add 9 to bother sides subtract 6n on both sides then divide 17/-2. N =-8.5

Answer:

=−1 7 /2

Step-by-step explanation:

Let's denote the lengths of the sides of the triangle as a, b, and 6, where side b is twice the length of side a.

According to the given information, we have the following relationships:

b = 2a (side b is twice the length of side a)

c = 6 (the third side has length 6)

To determine the possible values of the lengths of the sides, we can apply the triangle inequality theorem. According to this theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Applying the triangle inequality to our triangle, we get the following inequalities:

a + b > c

a + 2a > 6

3a > 6

a > 2

b + c > a

2a + 6 > a

a > -6 (This inequality doesn't provide any meaningful information as lengths cannot be negative.)

a + c > b

a + 6 > 2a

6 > a

Combining the inequalities, we find that 2 < a < 6.

Since side b is twice the length of side a, we have 4 < b < 12.

Therefore, the possible values of the lengths of the sides of the triangle are:

2 < a < 6

4 < b < 12

c = 6

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Answer:

1/2 + 1/4 = 2/4 + 1/4 = 3/ 4

first box = 2

last box= 3/4

The data collection method used in the study investigating the relationship between education status and insomnia was a survey. option (1)

The researchers used a random-digit telephone dialing procedure to select adults living in Tennessee to participate in the study. The participants were asked questions about their education status and insomnia status, and these variables were measured for each participant. The data collected through the survey were then analyzed to determine if there was a relationship between education status and insomnia.

The researchers found that individuals with fewer years of education were more likely to suffer from chronic insomnia. Using a survey as a data collection method is a quick and effective way to gather information from a large number of participants.

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Full Question: Is insomnia related to education status? Researchers at the Universities of Memphis, Alabama at Birmingham, and Tennessee investigated this question in the Journal of Abnormal Psychology (Feb. 2005). Adults living in Tennessee were selected to participate in the study, which used a random-digit telephone dialing procedure for the interview. Two of the many variables measured for each of the 575 study participants were number of years of education and insomnia status (normal sleeper or chronic insomniac). The researchers discovered that the fewer the years of education, the more likely the person was to have chronic insomnia. What is the data collection method?

Answer:

General form of an exponential function: \(y=ab^x\)

where:

Anita's initial value is 41 and the number of viewers doubles each day

\(\implies f(x)=41(2)^x\)

Juan's initial value is 4 and the number of views quadruples each day

\(\implies f(x)=4(4)^x\)

Day 3

\(\textsf{Harrison}:f(3)=7(2)^3=56\)

\(\textsf{Anita}:f(3)=41(2)^3=328\)

\(\textsf{Juan}:f(3)=4(4)^3=256\)

\(\textsf{Krista}:f(3)=6(3)^3=162\)

Day 10

\(\textsf{Harrison}:f(10)=7(2)^{10}=7168\)

\(\textsf{Anita}:f(10)=41(2)^{10}=41984\)

\(\textsf{Juan}:f(10)=4(4)^{10}=4194304\)

\(\textsf{Krista}:f(10)=6(3)^{10}=354294\)

Juan's post travels the fastest.

This is shown by the growth factor in the equation form of the functions.

Juan's equation has the largest growth factor of 4.

Answer:

1056 inches

Step-by-step explanation:

Given that :

Initial measurement = 2358 in

Guage level after 5 days of rain (final reading) = 3414 in

Change in water level rise :

Final reading - Initial reading

(3414 - 2358) in

= 1056 inches

Answer:

6a + 12b - 24

Step-by-step explanation:

The correct statements are:

The triangle and trapezoid area formulas have 1/2.

The parallelogram and rectangle formulas are both the same.

In the trapezoid formula, the bases are added.

A triangle is a polygon with three sides and three vertices. A triangle's angles add up to 180 degrees.

Area of a triangle = 1/2 x base x height

A trapezium is a quadrilateral that is convex. A trapezium is made up of at least two parallel sides. Area of a trapezium = 1/2  x (sum of the lengths of the parallel sides) x height

A rectangle is a quadrilateral in two dimensions with four right angles. Area of a rectangle = length x width

A parallelogram is a quadrilateral with two parallel sides. The opposite sides equal in length

Area of a parallelogram = base x height

Hence, the correct statements are options (A), (B), and (D).

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The question seems to be incomplete the correct question would be:

A neighborhood was given a vacant lot in the shape of a rectangle on which to build a park. The neighborhood is

considering how to split up the area. Which statements about the formulas for finding areas are true? Check all that

apply.

A. The triangle and trapezoid area formulas have 1/2.

B. The parallelogram and rectangle formulas are both the same.

C. In the parallelogram formula, the bases are added.

D. In the trapezoid formula, the bases are added.

E. In the triangle formula, the sides are added, then multiplied by 1/2​

Answer:

rs)(4)=(2rootX)(rootX)

(rs)(4)=2x

(rs)(4)=8

(r/s)(3)=(2rootX)/(rootX)

(r/s)(3)=2

Step-by-step explanation:

Answer: 60%

Step-by-step explanation:

According to Chebyshev's theorem, at least 75% of the employees will have commuting times that fall within 2 standard deviations of the mean, or between 58.6 minutes and 68.6 minutes.

Chebyshev's theorem states that for any set of data, regardless of its distribution, a certain percentage of the data lies within a certain number of standard deviations from the mean. Specifically, Chebyshev's theorem states that for any data set, at least 1 – 1/k² of the data values will lie within k standard deviations of the mean, where k is any number greater than 1. If k=2, at least 75% of the data values lie within 2 standard deviations of the mean. If k=3, at least 89% of the data values lie within 3 standard deviations of the mean.

Therefore, for a data set with a mean of 63.6 minutes and a standard deviation of 2.5 minutes, we can use Chebyshev's theorem to determine that at least 75% of the employees will have commuting times that fall within 2 standard deviations of the mean, or between 58.6 minutes and 68.6 minutes.

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The table provided requires the completion of statistics related to density and volume calculations for five objects.

Density Calculation:

To calculate density, we need to divide the mass of an object by its volume. The formula for density is:

\(\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]\)

In this case, the table requires the density statistics for five objects. To obtain these statistics, you need to determine the density of each object using the given data and formulas.

The density values for the objects will then be used to calculate statistics such as average density, standard deviation, and coefficient of variation.

Volume Calculation:

To calculate the volume of an object, we typically use the formula that corresponds to the shape of the object. Different objects may require different formulas for volume calculation. In the given table, you are required to calculate the volume delivered in each trial.

To obtain the volume statistics for the five objects, you need to calculate the volume of each object using the given data and appropriate volume formulas. The volume values for the objects will then be used to calculate statistics such as average volume, standard deviation, and coefficient of variation.

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The resulting box plot for the given data would show a box ranging from 5.2 to 5.7, with the median at 5.4.

A box plot, also known as a box-and-whisker plot, is a graphical representation of numerical data that displays the distribution of a dataset. It provides a visual summary of the minimum, first quartile, median, third quartile, and maximum values, as well as any outliers that may be present.

To construct a box plot from the given data (diameters of cans in an assembly line: 5.7, 5.6, 5.1, 5.4, 5.2, 5.6, 5.7, 5.3, 5.8, 5.2), follow these steps:

1. Sort the data in ascending order: 5.1, 5.2, 5.2, 5.3, 5.4, 5.6, 5.6, 5.7, 5.7, 5.8.

2. Find the median (middle value) of the dataset, which is 5.4.

3. Determine the first quartile (Q1), which is the median of the lower half of the data. In this case, it is the median of the numbers below 5.4: 5.2.

4. Find the third quartile (Q3), which is the median of the upper half of the data. In this case, it is the median of the numbers above 5.4: 5.7.

5. Calculate the interquartile range (IQR) by subtracting Q1 from Q3: 5.7 - 5.2 = 0.5.

6. Identify any outliers in the dataset. Outliers are values that fall below Q1 - 1.5 * IQR or above Q3 + 1.5 * IQR. In this case, there are no outliers.

7. Construct the box plot using a number line. Draw a box from Q1 to Q3, with a line inside representing the median. Add whiskers (lines) extending from the box to the minimum value (5.1) and the maximum value (5.8).

The resulting box plot for the given data would show a box ranging from 5.2 to 5.7, with the median at 5.4. The whiskers would extend from 5.1 to 5.8. This visual representation provides an overview of the distribution and key statistical measures of the diameters of cans in the assembly line.

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The rate of the water rising in the tank when the depth of the water is 1 ft is 56.05 ft/min.

The rate of change of volume is-

dV/dt = 11 ft3/min.

Volume of cylindrical cone = (1/3)πr²h

As we're trying to find dh/dt, we need to calculate the volume within terms of just one variable, h.

Diameter =  22 ft

Thus, radius is 11 ft

By using height and radius of a water in the tank, we may calculate h using similar ratios.

11/44 = r/h

1/4 = r/h

r= h/4

Put into volume;

V = (1/3)π(h/4)h²

V = (1/3)(π)h³ / (16)

dV/dt = [(1/3)(3)(π)(h)² / 16](dh/dt)

V = [(π)(h)² / 16](dh/dt)

Solve for (dh/dt) ;

dh/dt = (dV/dt)(16) / [((π)(h)²]

Now, the change in volume is dV/dt = 11 ft³/min

dh/dt = (11 ft³/min)(16) / [((π)(h)²]

For h = 1 ft,

dh/dt = (11 ft³/min)(16) / [((π)(1 ft)²]

dh/dt ≈ 56.05 ft/min

Thus, the rate of the water rising in the tank when the depth of the water is 1 ft is 56.05 ft/min.

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Answer:

2 teams are full and the last team has 8 members

Step-by-step explanation:

Simple subtraction 26-9=17 so theres one team, then 17 minus 9 is 8 so there is another team so the awnser is 2 and 8/9

Answer:

6.75 cm

225.66 cm²

Step-by-step explanation:

V= 1/3lwh= 180

V= 1/3*10*8*h= 80h/3 cm³

Surface area of the pyramid:

A=lw+l√(w/2)²+h²+w√(l/2)²+h²

Answer:

Step-by-step explanation:

Volume of pyramid = 1

3 × base area × height

180 = 1

3 × 10 × 8 × height

180 = 80

3 × height

Height = 6.75 cm

part two

Let the slant height from V to PQ be l1 cm,

the slant height from V to QR be l2 cm.

Using Pythagoras’ Theorem,

l1 = square root(6.75^2 + 4^2) = 7.846 (to 4 s.f.)

l2 =square root(6.75^2 + 5^2)= 8.400 (to 4 s.f.)

Total surface area of pyramid

Area of all triangular faces + area of square base

2 (1/2*10*7.846+1/2*8*8.400)+10*8

2(39.23 + 33.6) + 80

145.66 + 80

226 cm2 (to 3 s.f.)

Slope of lines 3x - 5y = 2 and 3x + 5y = -2 are m₁ = 3/5 and m₂ = -3/5 respectively.

The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of the line. The net change in the y coordinate is Δy and the net change in the x coordinate is Δx. Therefore, the change in y-coordinate for a change in x-coordinate can be written as

Line slope is a measure of the steepness or direction of a line in the coordinate plane.  

m = Δy/Δx

where,m is the slope

Given,

equations of the line

3x - 5y = 2

Moving 3x to RHS
-5y = -3x + 2

y = (3/5)x - 2/5

comparing with slope intercept equation of the line y = mx + c

slope m₁ = 3/5

Now, equation

3x + 5y = -2

moving 3x to RHS

5y = -3x - 2

y = (-3/5)x - 2

comparing with slope intercept equation of the line y = mx + c

slope m₂ = -3/5

Hence, m₁ = 3/5 and m₂ = -3/5 are slope of lines 3x - 5y = 2 and 3x + 5y = -2 respectively.

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Answer: The weight of one person is 22 units and the other is 110 units.

Step-by-step explanation:

Let x = weight of one person, then the weight of the other person = 5x

According to the question,

Sum of weight of both persons = 132

⇒ x+ 5x = 132

⇒ 6x = 132

Divide both sides by 6 , we get

x= 22

Other [person's weight = 5(22) = 110 units.

Hence, the weight of one person is 22 units and the other is 110 units.

Answer:

The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane. Recall that the coordinate plane has two axes at right angles to each other, called the x and y axis.

Answer:

258.3 sq inches

Step-by-step explanation:

Use the sphere surface area formula, SA = 4\(\pi\)r²

The diameter is 9.07 inches, so the radius is 4.535 inches.

Plug in 3.14 as pi and 4.535 as r, and solve:

SA = 4\(\pi\)r²

SA = 4(3.14)(4.535)²

SA = 258.3

So, the surface area is approximately 258.3 sq inches

Answer:200 is a perfect square

Step-by-step explanation:

because when divided by two it give a whole number being divided

Point S represent the point which is opposite to the number -5 \(\frac{1}{2}\).

Number line is a straight line drawn horizontally where the integers are place in an equal intervals, usually 1 unit apart.

Number line includes negative integers, 0 and positive integers. 0 is located in the middle of the number line.

Midpoint of the number line is 0.

So the number opposite to a negative number must be at the positive side with the same magnitude.

-5 \(\frac{1}{2}\) is actually -5.5, which is located at the exact middle in between -5 and -6.

Then the opposite of the number -5 \(\frac{1}{2}\) is +5 \(\frac{1}{2}\).

+5 \(\frac{1}{2}\) lies in the positive side in between 5 and 6, which is represented by point S.

Hence point S represents the number opposite the number -5 \(\frac{1}{2}\).

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30:80 is greater

Step-by-step explanation:

6:15=2:5=30:80=15:40

Using combination, a) the number of coins = 120 b) the number of coins would needed to make all possible rows of 6 coin is 384.

a) Based on the provided information, each row is a 6-bit string (6 coins) and its weight is 3 (3 pennies). Therefore, using combination the possible number of rows will be 6C3. The formula for combination is given by:

nCr = n!/r!(n – r)!

Hence,

6C3 = 6!/3!(6 – 3)! = 6!/3!3! = 6*5*4*3!/ 3*2*1*3! = 20

And in case each row requires 6 coins simultaneously, the number of coins = 6*20 = 120 coins

b) Based on the provided information, the possible number of rows will be 2^6 = 64. It can also be obtained using combination the possible number of rows will be sum of 6C0, 6C1, 6C2, 6C3, 6C4, 6C5, and 6C6.

Hence,

6C0 + 6C1 + 6C2 + 6C3 + 6C4 + 6C5 + 6C6

6!/0!(6 – 0)! + 6!/1!(6 – 1)! + 6!/2!(6 – 2)! + 6!/3!(6 – 3)! + 6!/4!(6 – 4)! + 6!/5!(6 – 5)! + 6!/6!(6 – 6)!

6!/0!6! + 6!/1!5)! + 6!/2!4! + 6!/3!3! + 6!/4!2! + 6!/5!1! + 6!/6!0!

1 + 6 + 15 + 20 + 15 + 6 + 1

64

Therefore, the number of coins needed = 6*64 = 384 coins. The number of coins in each row = 384/2 = 192 coins

Hence,

Note: The question is incomplete. The complete question probably is: You break your piggy-bank to discover lots of pennies and nickels. You start arranging these in rows of 6 coins. (a) You find yourself making rows containing an equal number of pennies and nickels. For fun, you decide to lay out every possible such row. How many coins will you need? b) How many coins would you need to make all possible rows of 6 coins (not necessarily with equal number of pennies and nickels)?

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The cost per day for Caroline to rent a car is $35. Answer: \($\boxed{35}.$\)

To find out the cost per day for Caroline to rent a car, we need to calculate the slope of the linear equation.

The slope of a linear equation represents the rate of change of one variable with respect to the other variable.

Here, the rate of change of the total cost with respect to the number of days represents the cost per day.

Therefore, the slope of the linear equation gives the cost per day.

We use the formula below to calculate the slope of a linear equation:

\($$\text{slope}\)

\(= \frac{\text{change in y}}{\text{change in x}}$$\)

Let's calculate the slope of the given linear equation:

\(Slope $$= \frac{y_2-y_1}{x_2-x_1}$$\)

We can use any two sets of data from the table to calculate the slope.

Let's use the first and second set of data.Slope $$

\(= \frac{122.50-52.50}{3-1}$$$$\)

\(= \frac{70}{2}$$$$\)

\(= 35$$\)

Therefore, the cost per day for Caroline to rent a car is $35.

Answer:\($\boxed{35}.$\)

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The probability distribution for rolling each number on the weighted die is : P(1) = 1/10, P(2) = 1/10, P(3) = 1/10, P(4) = 1/10, P(5) = 3/10, P(6) = 3/10

The probability distribution of a weighted die can be determined by assigning probabilities to each outcome based on their relative likelihood.

In this case, the numbers 5 and 6 are three times as likely to occur as the other numbers. The probability distribution will reflect this weighting, with higher probabilities assigned to 5 and 6.

Let's denote the probabilities of rolling each number as P(1), P(2), P(3), P(4), P(5), and P(6).

We know that the probabilities of rolling 5 and 6 are three times as likely as the other numbers.

This means that P(5) = 3P(1), P(6) = 3P(1), P(2) = P(1), P(3) = P(1), and P(4) = P(1).

To determine the value of P(1), we use the fact that the sum of all probabilities must equal 1.

Since there are six possible outcomes, we have:

P(1) + P(1) + P(1) + P(1) + 3P(1) + 3P(1) = 1

Simplifying the equation, we get:

10P(1) = 1

Therefore, P(1) = 1/10.

Using this value, we can calculate the probabilities for the other numbers:

P(1) = 1/10

P(2) = P(1) = 1/10

P(3) = P(1) = 1/10

P(4) = P(1) = 1/10

P(5) = 3P(1) = 3/10

P(6) = 3P(1) = 3/10

So, the probability distribution for rolling each number on the weighted die is as follows:

P(1) = 1/10

P(2) = 1/10

P(3) = 1/10

P(4) = 1/10

P(5) = 3/10

P(6) = 3/10

This distribution reflects the fact that 5 and 6 are three times as likely to come up as each of the other numbers.

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The correct answer from the task content is; Choice C; None of the above.

The equations can be evaluated as follows;

A) -x + (-x) =0

-x -x = -2x......Not True

B) x -(-x) = 0

x + x = 2x .....Not True.

On this note, it follows that none of the equations is true.

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The graph represents the solution set of a linear equation. In order to determine the specific equation, we need more information or context about the graph itself.

Linear equations are typically represented by straight lines on a coordinate plane. The equation of a straight line can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept. By examining the graph and identifying two distinct points on the line, we can calculate the slope and determine the equation of the line. The slope is calculated as the change in y divided by the change in x between the two points. Once the slope is determined, we can substitute the slope and one of the points into the equation y = mx + b to find the value of b. Therefore, without additional information about the graph or equation, it is not possible to generate a specific answer regarding the equation represented by the graph.

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We conclude that he difference between the high and low temperature is 23F

Here we know that for the given thermometer the highest temperature is 20 degrees Fahrenheit, while the lowest temperature is -3 degrees Fahrenheit.

To get the difference between the high and low temperatures we just need to take the highest temperature and subtract the lowest one, so we will get:

20F - (-3F)

Remember the rule of signs (-)*(-) = (+)

Then:

20F - (-3F) = 20F + 3F = 23F

We conclude that the difference between the high and low temperatures is 23F

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Answer:35

Step-by-step explanation:because x equals 3y +2 so if x=11 then just mutlipy 11x3 thats 33 then plus 2 is 35

hope that helps :}