What is the slope of the equation 4x-5y=0?

Answer:

y=6x-4

(dark blue)

Step-by-step explanation:

x=0 y=-4

y=6x-4

y=6(0)-4

y=-4

Answer:

2x - 11

Explanation:

We multiply x by 2 which gives us 2x, then subtract it by 11 which gives us 2x - 11.

I hope this helps!! ^-^

Answer:

2x-11

Step-by-step explanation:

twice a number x= 2x

minus 11= (-11) after 2x

A point represents a location. A coordinate on a plane .

The intersection of two planes is a line.

Answer:

It is now 3,998.75

Step-by-step explanation:

0.75x15,995=11,996.25

15,995-11,996=3,998.75

Answer:

$3,998.75

Step-by-step explanation:

Answer:

\(x \rightarrow + \infty \: \Rightarrow \: y \rightarrow + \infty \\ x \rightarrow - \infty \: \Rightarrow \: y \rightarrow - \infty\)

x → ∞ y → ∞ and as  x →- ∞ y → -∞  is the end behavior of the graph of the polynomial function y = 10x⁹ – 4x

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The meaning of end behavior is how the function ‘y’ (in this case) moves when x tends towards both ∞ and - ∞.

As x → ∞ y → ∞.

This is apparent from the upward movement of the graph of the function y=10x⁹ –4x

As x →- ∞ y → -∞

This inference is also drawn from the above graph i.e. as x values become more negative the graph of y also travels towards infinity i.e. southward on the LHS of the above graph.

Even though the graph of the function remains flat in between x = -4 to x = 4.

After these points, the graph moves towards infinity exponentially.

Hence, x → ∞ y → ∞ and as  x →- ∞ y → -∞  is the end behavior of the graph of the polynomial function y = 10x⁹ – 4x

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the circumcenter of Triangle DEF is (4, 10.4), which can be approximated as (4, 6).

To find the circumcenter of Triangle DEF, we need to determine the point that is equidistant from the three vertices of the triangle. The circumcenter is the center of the circle that passes through all three vertices.

Given the coordinates of the vertices:

D(4, 12), E(14, 6), F(-6, 2)

To find the circumcenter, we can use the properties of perpendicular bisectors. A perpendicular bisector of a line segment is a line that intersects the segment at its midpoint and forms a right angle.

First, we find the midpoints of the sides of the triangle:

Midpoint of DE = ((4+14)/2, (12+6)/2) = (9, 9)

Midpoint of EF = ((14-6)/2, (6+2)/2) = (4, 4)

Midpoint of FD = ((-6+4)/2, (2+12)/2) = (-1, 7)

Next, we find the slopes of the lines containing the sides of the triangle:

Slope of DE = (12-6)/(4-14) = -6/(-10) = 3/5

Slope of EF = (6-2)/(14-6) = 4/8 = 1/2

Slope of FD = (2-12)/(-6-4) = -10/-10 = 1

Since the slopes of the perpendicular bisectors are negative reciprocals of the slopes of the sides, we can find the equations of the perpendicular bisectors:

Equation of the perpendicular bisector of DE: y = (3/5)x + 7/5

Equation of the perpendicular bisector of EF: y = -2x + 12

Equation of the perpendicular bisector of FD: y = -x + 6

By solving the system of equations formed by these three lines, we find their point of intersection, which is the circumcenter:

Solving the equations:

(3/5)x + 7/5 = -2x + 12

(3/5)x + 2x = 12 - 7/5

(13/5)x = 58/5

x = 58/65 = 4/5

Substituting x into one of the equations:

y = -2(4/5) + 12

y = -8/5 + 60/5

y = 52/5 = 10.4

Therefore, the circumcenter of Triangle DEF is (4, 10.4), which can be approximated as (4, 6).

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Answer:

A. 20.5

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the intercepted arc. For example, If the intercepted arc is 11 then the Inscribed angle is 1/2 or 5.5! hope this helps ya!

Answer:

\( \frac{1}{3} \)

Step-by-step explanation:

\( \frac{1}{4} \div \frac{3}{4} \)

i) to divide the fraction, multiply by the reciprocal of that fraction

\( \frac{1}{4} \times \frac{4}{3} \)

ii) multiply the numerator and denominator

\( \frac{1 \times 4}{4 \times 3} \)

\( \frac{4}{12} \)

iii) simplify the fraction

\( \frac{1}{3} \)

There were 60 jelly beans in the unopened bag of jelly beans.

Let's work through the problem step by step to find the original number of jelly beans in the bag.

John ate three-fourths of the jelly beans.

This means that he consumed 3/4 of the total number of jelly beans, leaving 1/4 of the original amount.

Mike then ate two-thirds of the remaining jelly beans.

Since 1/4 of the original amount was left after John, Mike ate 2/3 of this remaining 1/4.

To find out how much is left, we need to calculate \((\frac{1}{4} )\times (\frac{2}{3} )\).

\((\frac{1}{4} )\times(\frac{2}{3} )=\frac{2}{12} =\frac{1}{6}\)

Mike ate 1/6 of the original amount, leaving 1/6 of the original amount.

Finally, Fred ate the ten jelly beans that were left.

We know that these ten jelly beans represent 1/6 of the original amount.

Let's calculate how many jelly beans are equal to 1/6.

\(\frac{1}{6} = 10\) jelly beans

Now, we can determine how many jelly beans are equal to 6/6 (the whole).

\(\frac{1}{6} \times6=10\times6=60\) jelly beans

Therefore, there were 60 jelly beans in the unopened bag of jelly beans.

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Answer:

7

Step-by-step explanation:

42/6=7

Answer:

SA = 10,800 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 40

w = 60

h = 30

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 60(40) + 30(40) + 30(60) )

SA = 2 ( 2400 + 1200 + 1800 )

SA = 2 ( 5400 )

SA = 10,800 ft²

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Answer:

3

Step-by-step explanation:

Experimental probability is based on the actual outcomes of an experiment (gathered by experimenting repeatedly).  

Theoretical probability is based on the possible outcomes (expected outcomes).

Probability formula

\(\boxed{\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}}\)

Theoretical probability of flipping a head

A coin has two sides: one side is a "head", the other side is a "tail".

The number of ways flipping a head can occur is 1.

The total number of possible outcomes is 2.

Therefore, the theoretical probability of flipping a head is 1/2.

Theoretical probability of rolling a number less than 3

The cube has six sides labelled 1, 2, 3, 4, 5 and 6.

The number of ways that rolling less than 3 can occur is 2 (rolling 1 or 2).

The total number of possible outcomes is 6.

Therefore, the theoretical probability of rolling a number less than 3 is 2/6 = 1/3.

Therefore, the theoretical probability of flipping a head and rolling a number less than 3 is:

\(\sf P(head)\; and\; P(X < 3)=\dfrac{1}{2} \times \dfrac{1}{3}=\dfrac{1}{6}\)

To calculate the number of actual outcomes and expected outcomes after 90 trials, multiply the number of trials by the probability for each outcome:

\(\textsf{Number of actual outcomes}=90 \times \dfrac{2}{15}=12\)

\(\textsf{Number of expected outcomes}=90 \times \dfrac{1}{6}=15\)

Therefore, the difference between the number of expected outcomes and the number of actual outcomes is:

\(\implies 15-12=3\)

Note: If Olivia continued to flip the coin and roll the number cube, as the number of trials increased, we would expect the experimental probability of 2/15 to get nearer to the theoretical probability of 1/6 and so the difference between the number of actual and expected outcomes would become smaller.

The decision between the two cities involves tradeoffs: the first city offers a wide range of class sizes but a smaller sample, while the second city has a larger sample but a narrower class size range.

The decision of which city to choose for the study involves tradeoffs. The first city allows for a wide range of class sizes, providing a comprehensive analysis of the relationship between class size and academic performance. However, the smaller sample size limits generalizability.



The second city offers a larger sample size, increasing generalizability, but with a narrower range of class sizes. Researchers should consider their specific research objectives, available resources, and constraints. If the goal is to assess the impact of extreme variations in class size, the first city is suitable. If obtaining highly generalizable results is paramount, the second city, despite the narrower range, should be chosen.



Therefore, The decision between the two cities involves tradeoffs: the first city offers a wide range of class sizes but a smaller sample, while the second city has a larger sample but a narrower class size range.

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Answer:

i think it'll be the first one and the last one

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

since the 2 sides are congruent, the two angles are congruent, so

75+75+ x= 180

150+x=180

x=30

Answer:

30

Step-by-step explanation:

Remark

The angle that looks like a shark's fin sticking out of the water is also 75o.  So you have 2 angles that are 75 degrees each. Add them together.

Solution

x + 75 + 75 = 180            All triangles have 180 degrees.

x + 150 = 180                  Subtract 150 from both sides.

x= 180 - 150

x = 30

Therefore , the solution of the given problem of standard deviation comes out to be the CEO is informed that the mean scores for Cities A and B are identical.

Variance is a measure of difference used in statistics. The typical variance here between dataset and the mean is calculated using the multiplier of that figure. By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other measurable measures of variability. Variations may result from internal or external factors and may include unintentional errors, inflated expectations, and changing economic or commercial circumstances.

Here,

It is clear that both offices share a comparable average score from the sentence "The CEO is informed that both City A or City B have the same mean score."

If City A is more reliable than City B, then City A will have a lower standard deviation.

A collection of data's variability or dispersion is measured by the standard deviation. The closer the data points are to the mean, the lower the standard deviation, and the less variable the data are.

So, the appropriate answer is:

The CEO is informed that the mean scores for Cities A and B are identical. However, due to the fact that City A's standard deviation is lower than City B's, City A is more reliable than City B.

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Answer:

O 72 in

Step-by-step explanation:

Answer:

It's a lower probability

Because he needs to take from white and black

Answer:

it would be a lower probibitity

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

25 – 6 [15 ÷ (7 – 4)]

25 – 6 (15 ÷ 3)

25 – 6 x 5

25 – 30

-5

Answer:

- 5

Step-by-step explanation:

25 - 6 [ 15 ÷(7 - 4) ]

Following the order as stated in PEMDAS

Evaluate parenthesis

= 25 - 6 [ 15 ÷ 3 ]

= 25 - 6 (5) ← evaluate multiplication

= 25 - 30 ← evaluate subtraction

= - 5

By linking major premises with specific minor premises, I would determine the bike target segments that best align with the company's goals and market opportunities.

Inductive Critical Reasoning in Choosing Bike Target Segments:

Using inductive critical reasoning in choosing the bike target segments involves drawing conclusions based on specific observations or data. In this case, I would have collected data and analyzed it to identify patterns or trends that could inform my decision. Here's how the process would unfold:

a. Sample Selection: I would have selected a sample of potential customers from various demographics and locations, ensuring representation from different regions and age groups. This diverse sample would provide a comprehensive understanding of customer preferences.

b. Data Analysis: I would have gathered data on customer preferences, buying behavior, and market trends related to the Mountain, Recreation, and Speed bike segments. This data could include survey responses, market research reports, competitor analysis, and sales data.

c. Pattern Identification: Through careful analysis, I would search for common patterns or trends within the data. This could involve identifying preferences for specific bike features, market demand, and customer behavior within each segment.

d. Conclusions: Based on the identified patterns and trends, I would draw conclusions about the potential viability and market demand for each target segment. This would help me make an informed decision on which segments to prioritize for my company's bike production.

Inductive critical reasoning involves collecting data, analyzing patterns, and drawing conclusions based on observed trends. By carefully examining customer preferences and market data, I would identify the most promising bike target segments for my company.

Deductive Critical Reasoning in Choosing Bike Target Segments:

Using deductive critical reasoning in choosing the bike target segments involves starting with general premises and applying logical reasoning to reach specific conclusions. Here's how the process would unfold:

a. Major Premises: I would establish major premises based on market research, industry knowledge, and customer insights. These premises could include statements such as "Customers value performance and speed in the Speed segment" or "Mountain biking is popular among adventure-seeking outdoor enthusiasts."

b. Minor Premises: I would then gather minor premises specific to each target segment. For example, "Mountain biking offers challenging terrains and off-road capabilities" or "Recreational biking appeals to casual riders looking for comfort and leisure."

c. Logical Reasoning: By applying logical reasoning, I would link the major and minor premises to deduce which target segments align with the company's goals, capabilities, and market opportunities. This would involve assessing how each target segment fits within the broader industry landscape and aligns with customer needs.

d. Conclusions: Based on the logical deductions made from the major and minor premises, I would arrive at a decision on the bike target segments that offer the greatest potential for success and align with the company's strengths and market opportunities.

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The confidence interval is calculated by adding and subtracting the product of a constant (usually 1.96), the margin of error, and the mean.

The constant times the margin of error is added and subtracted from the sample mean to obtain the confidence interval range.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.

A low standard deviation means data are clustered around the mean, and a high standard deviation indicates data are more spread out.
The constant is determined by the confidence level of your analysis (typically 95%) and the margin of error is determined by the standard deviation and the size of your sample.

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The measure of the angle Y from the given diagram is 102.5 degrees

In order to determine the unknown angle, we will use the theorem "angle at the vertex is half the angle at its intercepted arc".

Given the following

angle at the arc= 205 degrees

required

angle at the vertex Y

According to the theorem;

<Y = 1/2arcXZ
<Y = 1/2(205)
<Y = 102.5 degrees

Hence the measure of the angle Y from the given diagram is 102.5 degrees

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Answer:

Christian made $191.25 and Kenneth made $127.50 each.

Step-by-step explanation:

With each dog, you multiply how many dogs with the amount of cash they get each dog.

Christian: 15x12.75= $191.25

Kenneth: 10x12.75= $127.50

So you just multiply the amount of dogs with money :)

If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.

To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.

To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:

FV = P * ((1 + r)^n - 1) / r

where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).

Plugging in the values, we have:

FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06

≈ $12,350

Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.

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When multiplying fractions, multiply the numerator (top number), then the denominator (bottom number), and finally reduce to the lowest term if necessary.

Fractions are subsets of wholes. They are made up of a numerator (the number on top) and a denominator (the number on the bottom). The numerator represents the number of parts, while the denominator represents the total number of available parts.

To multiply two fractions, follow these three simple steps:

Step 1: Multiply the numerators of each fraction by themselves (the numbers on top). The answer's numerator is the result.

Step 2: Add the denominators of each fraction together (the numbers on the bottom). The answer's denominator is the result.

Step 3: Simplify or reduce your response.

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Answer: 75%

Step-by-step explanation:

12+2+2= 16

12 wins/16 matches = 75%

Answer:

80 degrees

Step-by-step explanation:

Remember that corresponding angles are equal!

angle CBD and angle BFH are obviously corresponding angles.

(SEE ATTACHMENT IF YOU DON'T UNDERSTAND)

So, angle CBD = angle BFH = 100 degrees.

The angles of a line add to 180 degrees

angle BFH is 100 degrees and one part of this line. So the other part (aka angle x) is 180 - 100 = 80 degrees.

Thus, x is 80 degrees.

The sum of the polynomials x^2 + 9 and -3x^2 - 11x^4 - 4 is - 11x^4  -2x^2 + 5

The polynomials are given as:

x^2 + 9

-3x^2 - 11x^4 - 4

The sum is represented as:

x^2 + 9 -3x^2 - 11x^4 - 4

Collect like terms

- 11x^4  -3x^2 + x^2 + 9 - 4

Evaluate the sum

- 11x^4  -2x^2 + 5

Hence, the sum of the polynomials is - 11x^4  -2x^2 + 5

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Answer: 6 minutes.

Step-by-step explanation: You can use a graphing calculator to see the exact graph, but you're trying to figure out what value of x gives you a y of 0. -50 times 6 is 300, plus 300 equals 0.

The graph of the equation y = -50x + 300 is a straight line, and plotted below. The time it take the pool to drain, according to this equation, is  6 minutes.

Suppose the considered function whose graph is to be made is f(x)

The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values f(x) are plotted on the vertical axis.

They are together plotted on the point

(x,y) = (x, f(x))

This is why we usually write the functions as:

y = f(x)

For this case, we're specified that:

Take two different values of x, let it be 0 and 1.

Then, the value of y we get is:

\(y = -50x + 300\\y = -50 \times 0 + 300\\y = 300\)

Thus, one point on the equation y = -50x + 300 is (0,300)

\(y = -50x + 300\\y = -50 \times 1 + 300\\y = 300 - 50 = 250\)

Thus, another point on the equation y = -50x + 300 is (1,250)

Plot these points taking x on horizontal and y on vertical axis. Then join those two points by a straight line. This is the graph of the considered equation as equation of type \(y = mx +c\) is a straight line's equation and for straight line, two of its points are sufficient to plot it.

The graph is given below.

Since we know that:

y = number of gallons of water left after draining the pool for x minutes,

so when the pool drains of fully, there will be no water left, or y = 0.

Putting y = 0 in the equation y = -50x + 300, we get:

\(y = -50x + 300\\0 = -50x + 300\\\\\text{Adding 50x on both the sides}\\\\50x = 300\\\\\text{Dividing both the sides by 50}\\\\x = \dfrac{300}{50}= 6\)

Thus, when y= 0, we get x = 6, so when the fully filled pool is drained for 6 minutes, the whole pool gets drained (for this case).

Thus, the time it take the pool to drain, according to this equation, is  6 minutes. The graph of the equation y = -50x + 300 is given below.

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