What are the exact solutions of x2 - 5x-7= 0, where
Ox=
O
x=
X
H
-5± √3
2
5+√3
2
-5± √53
2
5± √53
2
X=
-b± √b²-4ac7
2a

To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.

Determine the slope (m) of the line using the formula:

   m = (y2 - y1) / (x2 - x1)

For the given points (5, -3) and (-2, -4), we have:

   m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7

Use the point-slope form of a linear equation:

   y - y1 = m(x - x1)

Using the point (5, -3), we have:

   y - (-3) = (1/7)(x - 5)

Simplifying:

   y + 3 = (1/7)(x - 5)

Convert the equation to standard form:

Multiply both sides of the equation by 7 to eliminate the fraction:

   7y + 21 = x - 5

Rearrange the equation to have the x and y terms on the same side:

   x - 7y = 26

The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.

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the required ans is 3√b+b/3b

The person that was closest to the state record after the jump is; Alex

We are told that Alex jumped 38 feet 11²/₃ inches or 38.9725 ft and that the eighth-grade record is 40.17 feet.

Let see how closer Alex jumped was;

40.17 feet - 38.9725 ft = 1.2425 ft

We are told that Eric jumped 36.89 feet and the state record of the eighthgrade record is 40.17 feet. Thus;

Let see how closer Eric jumped was;

40.17 feet - 36.89 ft = 3.28 ft

We conclude that 1.2425 ft is less than 3.28 ft and as such Alex was closer.

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The Gambler's Fallacy is due to treating each throw of the dice as independent of previous throws

The gambler's fallacy, also known as the Monte Carlo fallacy, is when someone mistakenly thinks that the outcome of a prior event or series of events will make a given random occurrence more or less likely to occur.

This kind of thinking is flawed since past occurrences do not alter the likelihood that specific events will occur in the future.

In circumstances where the probability of various events is not independent, the gambler's fallacy is not applicable.

The outcome of previous events, such as the statistical permutation of events, might alter the probability of future happenings in such circumstances.

In response to the query,

The Gambler's Fallacy results from treating each roll of the dice as if it were unrelated to prior rolls. Option(4) is correct

The question is incomplete , the complete question is

The Gambler's Fallacy is due to

(1) greed.

(2) bad luck.

(3) failing to treat each throw of the dice as independent of previous throws.

(4) treating each throw of the dice as independent of previous throws.

(5) regression toward the mean.

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The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

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Answer:

M = (1,3) - 1 right, 3 up

A = (4,0) - 4 right, 0 up

T = (3,6) - 3 right, 6 up

H = (6,2) - 6 right, 2 up

Step-by-step explanation:

Remember, to write the ordered pair using the correct order (x,y) x means it moves either left or right and y moves up or down.

First identify the x-coordinate of a point on a graph. Start at (0,0) which is where the x and y axis meet. (Basically the center of the coordinate plane.)

Then move either left or right and count the number of spaces you move until you are under or over the coordinate. The number of spaces you counted it the x value.

Next, identify the y-coordinate of a point. Now move up or down and count the number of spaces until you meet the coordinate. The number of spaces you counted is the y value.

I tried my best to explain. Let me know if you are still confused.

Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

To convert the acceleration from meters per second squared (m/s²) to inches per second squared (in/s²), we need to use the conversion factor between the two units.

1 meter is equal to 39.37 inches.

To convert the units, we can set up the following conversion factor:

1 m/s² = (39.37 in/m)^2 = 1550.0031 in/s²

Now, we can multiply the given acceleration in m/s² by the conversion factor to obtain the acceleration in in/s²:

Acceleration in in/s² = 9.81 m/s² * 1550.0031 in/s²

Acceleration in in/s² ≈ 15222.7568 in/s²

Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

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Answer:

8.84444444444

Step-by-step explanation:

Answer:

the answered would be 8.8444444

Answer:

Step-by-step explanation

Answer - its not 7. 50  it 6.00  

Step-by-step explanation:

i just solved it, believe me its 6.00

Answer:

The answer is: B) 4.4

Step-by-step explanation:

Answer:

3000

Step-by-step explanation:

5430=1.81x

solving for x, we take 1, which is equal to 100%, and divide it by 1.81 to get 1/1.81 or 0.55248618

multiply 1/1.81 by 5430 to get 3000

9514 1404 393Answer:

  C) Rectangle

Step-by-step explanation:

In general, the vertical cross section of a "right" cylinder will be a rectangle. In some special cases, it may be a square.

Each intersection of the plane with the curved surface is a line, not a curve, so the shape cannot be a circle or ellipse.

Answer:

109.6

Step-by-step explanation:

100+100×(4.8%×2)=100+ 100×9.6%=100+9.6=109.6

Answer:

The money account after two years will be 110.054

Step-by-step explanation:

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

A = final amount = required to know

P = initial principal balance = $100

r = interest rate = 4.8%=4.8/100 because compounded monthly

n = number of times interest applied per time period = 12

t = number of time periods elapsed = 2

\(A = P(1 + \frac{4.8}{1200})^{24}\)

\(A= 100(1+0.004)^{24}\)

A=   \(110.054\)

Thus, The money account after two years will be 110.054

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The relation that can not be supported by the evidence in the image is option B

Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.

Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.

Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.

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The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.

It follows from the task content that the volume of the cylinder which is as represented is to be determined.

Since the volume of a cylinder is;

V = 2πr²h

where r = 10 and h = 25.

V = 2π × 10² × 25.

V = 5000π.

Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.

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The mean for the data items in the given frequency distribution is 4.152

To find the mean of the data items in the frequency distribution, we need to use the formula:

Mean = (Sum of (xi * fi)) / (Sum of fi)

where xi is the midpoint of the class interval and fi is the corresponding frequency.

So, we have

Mean = (3 + 12 + 15 + 20 + 20 + 30 + 21 + 16)/(3 + 6 + 5 + 5 + 4 + 5 + 3 + 2)

Evaluate

Mean = 4.152

Hence, the mean is 4.152

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Log22/Log9 express log_9 22 in terms of common logarithms

Common logarithms, is commonly describd as base-10 logarithms.

It is a type of logarithm that involve taking the logarithm of a number with respect to the base of 10.

This means that common logarithms show how many powers of ten must be increased to get a particular number. The usual logarithm of 100, for example, is 2, because 10 raised to the power of 2 equals 100.

The answer provided is based on the full question below;

-------------express log_9 22 in terms of common logarithms

a. Log 22/9

b. Log 198

c. Log22/Log9

d. Log9/Log22

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The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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0.25 miles per gallon is the plane's fuel efficiency, in miles per gallon

Given that: the airplane flies from York City to Los Angeles at an average speed of 450 mph and uses an average of 0.5 gal of fuel every second

In order to determine fuel efficiency, in miles per gallon, we have to convert the 450 miles per hour to miles per second equivalent so it will have a uniform unit with 0.5 gal per second given. Thus:

450 mph = 450 miles/ hour          

              = 450 miles/ 3600 s          (Remember: 1 hour = 3600 seconds)  

              = 0.125 miles per second

fuel efficiency = speed / fuel consumption

fuel efficiency = 0.125/ 0.5 = 0.25 miles per gallon

Therefore, the plane's fuel efficiency, in miles per gallon is 0.25 miles per gallon

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The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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Answer:

2.95

Step-by-step explanation:

Answer:

y = 19.2

Step-by-step explanation:

We know there is relationship between y and x, so according to the formula \(y = kx\)

k = 12/5

we get one function y = 2.4x

when x = 8, input it into the function,

y = 2.4×8 = 19.2

Answer:

\(f(x) = - 2x - 1 \\ h(x) = - x + 5 \\ \\ The \: \: value \: \: of \: \: \: f(6) = ( - 2) \times 6 - 1 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 13 \\ \\ as \: we \: know ,\: \\➪(hf)(x) = h(f(x)) \\ so \:➪( hf)(6) = h(f(6)) \\ \\ put \: the \: value \: \: of \: f(6) \: we \: \: get \\ \\➪ (hf)(6) \: = h( - 13) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - ( - 13) + 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 13 + 5 \\ \: \: \: \: \: \: \: = 18\)

Answer:

Step-by-step explanation:

for 15 115 hours befor

Answer:

the one on the bottom left, with 23 all by its lonesome

Step-by-step explanation:

Answer:

518125161348

Step-by-step explanation:

                316

518125161032

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

518125161348

Answer:

1 out of 52 or 4 out of 52

Step-by-step explanation:

In other words, when x is equal to -3, the y-value of the line is 19. This is how you get the value of 19.

Value is the worth of something in terms of its usefulness or importance. It can also refer to the moral principles and beliefs that guide how a person or group of people live. Values change over time, depending on the culture and context. For example, respect for one's elders might be a value in one culture, while in another it might be more important to be self-reliant. Value is also used in economics to refer to the worth of a good or service in terms of money.

The answer lies in the formula for the equation of a line: y = mx + b, where m is the slope, x is the input value, and b is the y-intercept.

In this case, m is 16 and x is -3, so when you plug those values into the equation, you get y = 16(-3) + b. To solve for b, we need to subtract 16(-3) from both sides of the equation, which gives us b = 19. Therefore, the y-intercept of the line is 19.

In other words, when x is equal to -3, the y-value of the line is 19. This is how you get the value of 19.

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