This graph represents a quadratic function. An upward parabola on a coordinate plane vertex at (minus 2, 2) and passes through (minus 3, 5) and (minus 1, 5). What is the value of a in the function’s equation? A. 3 B. 2 C. -3 D. -2

Answer: the value of x is 34.

Step-by-step explanation: Let's start by finding the mode of the set of integers. The mode is the number that appears most frequently in the set.

From the given integers, we can see that x appears twice, and all other numbers appear only once. Therefore, the mode is x.

Now we are told that the mean of the set is 1.5 times the mode. We can set up an equation to represent this:

(mean) = 1.5 * (mode)

To find the mean, we can add up all the numbers in the set and divide by the total number of integers:

(mean) = (31 + 58 + 98 + x + x) / 5

Simplifying the expression on the right:

(mean) = (187 + 2x) / 5

Substituting this expression for the mean into our equation:

(187 + 2x) / 5 = 1.5x

Multiplying both sides by 5 to eliminate the fraction:

187 + 2x = 7.5x

Subtracting 2x from both sides:

187 = 5.5x

Dividing both sides by 5.5:

x = 34

Therefore, the value of x is 34.

Answer:

Inner hole: 13 cm; Whole disc, 72 cm

Step-by-step explanation:

Connexus 2021

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

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The value of the expression after evaluating it according to the values of c and d is 42.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Since, no expression is given, let us assume that the expression is

c + d / 4

Now we have to evaluate the value of the expression according to the values of c and d,

For that, we will simply put the given values in the expression and solved it accordingly,

Put c = 36 and d = 24 in the expression we assumed,

c + d / 4 = 36 + 24/4

= 36 + 6 = 42

Hence, the value of the expression after evaluating it according to the values of c and d is 42.

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Answer:

True an angle is two intercepting line segments that share an point

False The definition of a square is it has to have four congurent angles ,sides and 2 sets of parallel lines.

Step-by-step explanation:

Length is the independent variable while P is the dependent variable.

Independent variables are variables that can stand alone while dependent are depend on others.

Independent variables are input variables of a function whole independent are the output variables of a function.

Given the function as shown:

P = 2l + 20

length is the independent variable while P is the dependentw variable.

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Answer:

x = 5

Step-by-step explanation:

1. Multiply 6 by x and 4 to have the first equation:

6x +24

2. Multiply 3 by 4x and -2 to have second equation:

12x-6

3. Set equations equal to each other:

6x+24=12x-6

4. Subtract 6x from 12x and add 6 to 24:

30=6x

5. Isolate 6x by dividing both sides by 6.

6. x = 5

Answer:

6x+24=12x-6

12x-6x=24+6

6x=30

x=30:6

x=5

Answer:

I'm going to say \(\frac{4}{1}\) and \(\frac{4}{2}\)

Step-by-step explanation:

Answer:

676

Step-by-step explanation:

d1×d2/2

42×56/2

1352/2=676

please check it by doing again

Answer:

1176

Step-by-step explanation:

=a half the product of its diagonals

=1/2(42x56)

=1176

Greetings from Brasil...

V = πr²h   -   isolating h

Answer:

  √61 ≈ 7.81

Step-by-step explanation:

It appears that the polygon can be enclosed by a rectangle that is 12 units wide and 10 units high. The enclosing circle is the one that will circumscribe that rectange. Its radius is half the length of the diagonal, so is ...

  (1/2)√(12² +10²) = 1/2√244 = √61

The smallest circle that will surround the polygon will have a radius of √61 ≈ 7.81 units.

_____

The Pythagorean theorem is used to find the length of the diagonal. It tells you the square of the diagonal is the sum of the squares of the sides of the rectangle. Our radius is half the diagonal, so is half the square root of the sum of the squares of the side lengths.

A 10 foot chain that weighs 25 pounds is suspended from a ceiling; the work required to raise the chain's lower end to the ceiling and level it with the higher end is 62.5.

The formula for work completed is W = F * d. The force acting on the block in this instance is constant, but the force's direction and the displacement it influences are variable. It could be easier to understand if you think of this as a differential equation. Therefore, the work increases by 2.5/2 for each foot the chain is lifted (y). Consequently, we can format this as follows:

work done:

dw/dy = 2.5y/2

dw = 2.5y/2 * dy

Then integrating both sides gives the equation from we get,

\(\left \{ {{10} \atop {0}} \right. 2.5 (y/2)\\2.5 * \frac{y^{2} }{4} \\\\2.5 * (\frac{10}{4} -0)\)

W = 62.5

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Answer:

Angle of CBD is 34 degrees

Step-by-step explanation:

\(Angle CBD + 45 = 79\)

Subtract 45 on both sides

AngleCBD = 34

The given problem is about finding the linear speed of a vehicle when each of its tire has a diameter of 32 inches and is moving at 800 revolutions per minute. In order to solve this problem, we will use the formula `linear speed = (pi) (diameter) (revolutions per minute) / (1 mile per minute)`.

Since the diameter of each tire is 32 inches, the radius of each tire can be calculated by dividing 32 by 2 which is equal to 16 inches. To convert the units of revolutions per minute and inches to miles and hours, we will use the following conversion factors: 1 mile = 63,360 inches and 1 hour = 60 minutes.

Now we can substitute the given values in the formula, which gives us:

linear speed = (pi) (32 inches) (800 revolutions per minute) / (1 mile per 63360 inches) x (60 minutes per hour)

Simplifying the above expression, we get:

linear speed = 107200 pi / 63360

After evaluating this expression, we get the linear speed of the vehicle as 5.36 miles per hour. Rounding this answer to the nearest tenth gives us the required linear speed of the vehicle which is 5.4 miles per hour.

Therefore, the linear speed of the vehicle is 5.4 miles per hour.

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1/64 fraction is equal to 0.015625 in decimal form.

To change the fraction 1/64 to a decimal, we need to perform division.

1 divided by 64 can be written as:

0.015625

----------

64 | 1.000000

   0

  10

   0

The result of the division is 0.015625. This means that 1/64 is equal to 0.015625 in decimal form.

Note that in this case, we carried the division out to six decimal places, but the question specified that we should carry it out to three decimal places. In that case, we would round the answer to 0.016.

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Answer: 2.2 and/or 2.20 the zero doesn't matter

Step-by-step explanation:

4 goes into 8, 2 times bring the 2 up (4x2=8)

8-8=0

Bring down the next 8

4 goes into 8, 2 times bring the 2 up (4x2=8)

8-8=0

4 goes into 0, 0 times

0-0=0 bring up the 0 or don't

you should get 2.2 and/or 2.20

Answer:

K = infinite amount of solutions

Step-by-step explanation:

Step 1: Write out equation

4K - 32 = -32 + 4K

Step 2: Rearrange

4K - 32 = 4K - 32

Here we see that any value of x can be plugged in and would render the equation true. You can also look at it as 2 exact same lines, and when 2 lines are the same, they have infinite amount of solutions.

So K could equal -2, -4, 5, 7, 2935, or even 91235780271.

Hey there! I'm happy to help!

We want to figure out what K is equal to. Let's put all of the Ks on one side of the equation and the constants on the other side.

We subtract 4K from both sides.

4K-4K-32=-32

We combine like terms.

-32=-32

Add 32 to both sides.

0=0

Whenever you are solving an equation and end with a true equation like 0=0, it means that there are infinitely many solutions. This means you could use any number for K and the equation would work. Notice what the original equation is. 4K-32=-32+4K. It is literally the same thing on both sides, so any value for K would work.

Have a wonderful day! :D

The equation -5x + y = 2 in slope-intercept form is y = 5x + 2.

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

To write these equations in slope-intercept form, we need to isolate y on one side of the equation.

-5x + y = 2

Adding 5x to both sides, we get:

y = 5x + 2

Therefore, the equation -5x + y = 2 in slope-intercept form is y = 5x + 2.

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Given table shows the counts of respondents of a survey that asked 1000 adults about their employment status and whether they owned stocks:

Employment Status Owning Stocks Not Owning Stocks Employed 400 300

Unemployed 50 250 Retired 150 100We have to complete the following parts:

a) How many of the respondents are unemployed or do not own any stocks?

b) If a respondent is chosen at random, what is the probability that the respondent owns stocks?

c) If a respondent is chosen at random, what is the probability that the respondent is retired and does not own stocks?d) If a respondent is chosen at random, what is the probability that the respondent is employed or retired?

e) If a respondent is chosen at random, what is the probability that the respondent is employed, given that the respondent does not own stocks?

Solution:

a) The total number of respondents who are unemployed or do not own any stocks is 50 + 250 + 100 = 400.

b) Probability that a respondent owns stocks = Number of respondents owning stocks / Total number of respondents= (400 + 50 + 150) / 1000= 0.6

c) Probability that a respondent is retired and does not own stocks= Number of retired respondents not owning stocks / Total number of respondents= 100 / 1000= 0.1

d) Probability that a respondent is employed or retired= (Number of employed respondents / Total number of respondents) + (Number of retired respondents / Total number of respondents)= (400 / 1000) + (150 / 1000)= 0.55

e) Probability that a respondent is employed, given that the respondent does not own stocks= (Number of employed respondents not owning stocks / Total number of respondents not owning stocks)= 300 / 350= 0.86

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We need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.

To determine Leo's profit for the first day, we need more information than what is provided in the question. The notebook shows the money earned and spent, but the given information stops at "10," without specifying whether it represents money earned or money spent. Additionally, we don't have any other earnings or expenses mentioned in the question.

To calculate the profit, we need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.

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Answer:

-x^2 - 3

Step-by-step explanation:

SO we know f(x); x^2

when you place a (-), it flips teh image across the x-axis.

Finally, we see that the line is at (0,-3). To get it there, we need to go down 3, which gives us the -3 in the equation.

So we have -x^2-3

(rember the - sign is to flip it across the x-axis, and the -3 is to move the line 3 down the y-axis)        

I checked my answer on a calculator btw lol.

Answer:

x^2 + y^2 = z^2

There are infinitely many choices for whole numbers x, y, and z.

Based on the residual plot, is the linear model appropriate is option (D). Yes, half of the residuals are positive and half are negative.

The residual plot is one that can be a scatterplot of the residuals (the contrasts between the observed  values as well as the predicted values) against the indicator variable. The reason of this plot is to check the presumption that the errors are randomly conveyed and have steady fluctuation over the run of the indicator variable.

In the event that the linear show is fitting for the information, the residuals ought to be randomly scattered around the flat line at zero. The reality that half of the residuals are positive and half are negative indicates that there's no systematic bias within the predictions.

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The amount of radioactive lead remaining after 3 years is 545gm.

The amount of radioactive lead remaining after 8 years is 464gm.

The amount of radioactive lead remaining after 15 years is 371gm.

The half-tie for radio active lead is 21.66 years.

Given that,

A sample of 600 g of radioactive​ lead-210 decays to​ polonium-210,

According to the function A(t) = 600e ^-0.032t, ​

Where, t is time in years.

We have to find,

Find the amount of radioactive lead remaining after.

According to the question,

Function \(A(t) = 600e^{(-0.032t)}\)

\(A(3) = 600\times e^{(-0.032t)} \\\\A (3) = 600 \times \dfrac{1}{e^{0.032\times 3} } \\\\e^{0.096} = 1.10075\\\\A (3) = 600 \times \dfrac{1}{e^{0.096} } \\\\A (3) = 600 \times \dfrac{1}{1.10075} } \\\\A(3) = \dfrac{600}{1.10075}\\\\A(3) = 545gm\)

The amount of radioactive lead remaining after 3 years is 545gm.

\(A(8) = 600\times e^{(-0.032t)} \\\\A (8) = 600 \times \dfrac{1}{e^{0.032\times 8} } \\\\e^{0.0256} = 1.129175\\\\A (8) = 600 \times \dfrac{1}{e^{0.0256} } \\\\A (8) = 600 \times \dfrac{1}{1.129175} } \\\\A(8) = \dfrac{600}{1.129175}\\\\A(8) = 464gm\)

The amount of radioactive lead remaining after 8 years is 464gm.

\(A(15) = 600\times e^{(-0.032t)} \\\\A (15) = 600 \times \dfrac{1}{e^{0.032\times 15} } \\\\e^{0.48} = 1.61607\\\\A (8) = 600 \times \dfrac{1}{e^{0.48} } \\\\A (8) = 600 \times \dfrac{1}{1.61607} } \\\\A(8) = \dfrac{600}{1.61607}\\\\A(8) = 371gm\)

The amount of radioactive lead remaining after 15 years is 371gm.

\(A(15) = 600\times \dfrac{1}{2} = 600e^{-0.032t} \\\\= e^{(-0.032t)} = \dfrac{1}{2}\\\\Taking \ log \ on \ both \ sides\\\\= -0.032t = ln2\\\\= t = \dfrac{ln2}{-0.032}\\\\= t = 21.660\\\\= t = 21.66 years\)

The half-tie for radio active lead is 21.66 years.

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The entering basic value is α and the leaving basic variable is x2.

Given that the formula for the line passing through the points (2, 4, 3) and (4, 2, 4) can be written as (2,4,3)+α[(4,2,4)−(2,4,3)] = (2,4,3)+α(2,−2,1), where 0 ≤ α ≤ 1 for just the line segment between these points. After augmenting with the slack variables x4, x5, x6, x7 for the respective functional constraints, this formula becomes (2,4,3,2,0,0,0) + α(2,−2,1,−2,2,0,0).We have to use this formula directly to answer each of the following questions and relate the algebra and geometry of the simplex method as it goes through one iteration in moving from (2,4,3) to (4,2,4). The questions are:(a) What is the entering basic variable?The entering basic variable is the variable that increases in the formula which in this case is α.(b) What is the leaving basic variable?The leaving basic variable is the variable that makes one of the original basic variables zero and takes its place as a basic variable in the new basic feasible solution. Here, the leaving basic variable is x2.(c) What is the new BF solution?The new basic feasible solution is found by replacing the entering basic variable α for the leaving basic variable x2 and then using Gaussian elimination to solve the linear system. Here is how it is done:At α = 0, we have the point (2,4,3,2,0,0,0).At α = 1, we have the point (4,2,4,0,2,0,0).Let α be the entering basic variable, then we can take x2 to leave the basis. Thus, at α = 0, we have (2,4,3,2,0,0,0) as the BFS and at α = 1, we have (4,2,4,0,2,0,0) as the next BFS.Then we need to use Gaussian elimination to solve the linear system. After Gaussian elimination, we get the new basic feasible solution as (10/3,4/3,0,0,2/3,0,0).Hence, the new BF solution is (10/3,4/3,0,0,2/3,0,0).Thus, the entering basic variable is α, the leaving basic variable is x2, and the new BF solution is (10/3,4/3,0,0,2/3,0,0).

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The 95% confidence intervals for the proportions in each of the three surveys are as follows: Government employee: 16.5% to 23.5%, Marijuana legalization: 45.0% to 59.0%, Living in the same city at 16: 17.9% to 62.1%

The ±2 shortcut for calculating a 95% confidence interval for a proportion is based on the fact that the standard error of a proportion is approximately equal to the square root of the proportion times the (1 - the proportion). In each of the three surveys, the sample size is large enough (greater than 30) so that the ±2 shortcut is a reasonable approximation.

In the first survey, 20 of 121 people said they were government employees. This gives a proportion of 0.165. The standard error of this proportion is approximately 0.036. The 95% confidence interval for the proportion of government employees in the population is therefore 0.165 ± 2 * 0.036, or 16.5% to 23.5%.

In the second survey, 47 of 100 people said they supported marijuana legalization. This gives a proportion of 0.47. The standard error of this proportion is approximately 0.063. The 95% confidence interval for the proportion of people who support marijuana legalization in the population is therefore 0.47 ± 2 * 0.063, or 45.0% to 59.0%

In the third survey, 40 of 225 people said they still lived in the same city they lived in when they were 16 years old. This gives a proportion of 0.179. The standard error of this proportion is approximately 0.057. The 95% confidence interval for the proportion of people who still live in the same city they lived in when they were 16 in the population is therefore 0.179 ± 2 * 0.057, or 17.9% to 62.1%.

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An argument can be invalid even if the premises are true and the conclusion is false.This statement is actually false.

Invalidity refers to the structure of the argument, not the truth value of the premises or conclusion. An invalid argument fails to establish the truth of its conclusion even if its premises are true. In contrast, a valid argument guarantees that the conclusion follows from the premises, regardless of the truth or falsity of the premises. Therefore, an argument can be valid with false premises, and an argument can be invalid with true premises.

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Conclude that there is no guarantee that the conclusion will be false when all the premises are false in an invalid

argument.

If an argument is invalid, then whenever the premises are all false, the conclusion must also be false.

An invalid argument is one where the conclusion does not necessarily follow from the premises, even if the premises

are all true.

In other words, it is possible for the premises to be true, but the conclusion to be false. However, in the scenario you

described, all the premises are false. In an invalid argument, there is no guarantee that the conclusion will also be false.

Identify the argument as invalid.

Recognize that all the premises are false.

Understand that in an invalid argument, the conclusion does not necessarily follow from the premises.

Conclude that there is no guarantee that the conclusion will be false when all the premises are false in an invalid

argument.

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The transformation given as A(-8,7) → A'(-8,-7) represents a reflection over x-axis .

In the reflection of the point (x,y) over x-axis transformation ,the x-coordinate of each point remains the same, but the y-coordinate is negated (changes sign).

Let's consider the coordinates of point A that is  (-8, 7).

The transformation takes this point to A' (-8, -7).

We can see that the x-coordinate of the point remains the same which is -8. but , the y-coordinate changes from 7 to -7.

We know that in a reflection over the x-axis, the x-coordinate remains the same while the y-coordinate changes sign.

Therefore , the transformation that takes A to A' is a reflection over the x-axis.

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The given question is incomplete , the complete question is

Identify the Transformation given as A(-8,7) → A'(-8,-7)?

9514 1404 393

Answer:

  B. loga(p) = m

Step-by-step explanation:

Equivalent forms are ...

  \(a^m=p\quad\longleftrightarrow\quad\log_a(p)=m\)

_____

Additional comment

It helps me to remember that a logarithm is an exponent. The base of the exponent is the base of the logarithm.