Put the following equation of a line into slope-intercept form, simplifying all
fractions
2x - y = 2

Answer:

2 is the highest degree because it's the only exponent

Answer:

20 stones

Step-by-step explanation:

The perimeter of the garden is 10 feet.

He uses stones that are 1/2 foot long each to edge the garden.

The number of stones he will need can be gotten by simply dividing the perimeter of the garden by the length of each stone:

10 / 1/2 = 20 stones

He will need 20 stones.

This measure of central tendency can be considered the most precise in option c. mean

The mean is a measure of central tendency that calculates the average of a set of values. It is often considered the most precise measure because it takes into account all the values in the dataset and provides a balanced representation.

The mean is calculated by summing all the values and dividing by the total number of values. Unlike the mode, which only identifies the most frequently occurring value, and the median, which represents the middle value, the mean incorporates all the values and provides a comprehensive summary of the dataset.

However, it is important to note that the mean can be sensitive to extreme values or outliers in the data.

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Answer:

20sqrt2, or aprox 28.3

Step-by-step explanation:

It is a 45-45-90 triangle, meaning that the ratio of the sides is x-x-xsqrt2.

In this case, x=20. So, HK = 20sqrt2.

The manager of a department store surveyed 70 randomly chosen employees to determine if any of the company's 281 employees would buy a reduced gym membership.

The survey was conducted to gather information about the likelihood of employees purchasing a reduced gym membership. The population in this case is the entire company, which consists of 281 employees. However, instead of surveying the entire population, the manager selected a sample of 70 employees. The sample represents a smaller subset of the population and allows for more efficient data collection.

Out of the sample of 70 employees, 50 reported that they would buy a reduced gym membership. This information provides an estimate of the proportion of employees in the population who would be interested in the membership. However, it's important to note that the results are based on a sample and may not perfectly represent the entire population. Further analysis and statistical techniques can be used to infer conclusions about the entire employee population based on the sample data

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Answer:

0.456 kg

Step-by-step explanation:

Answer:

1742 is divided by 2.16 than answer is 418.75

Answer:

first write the formula and also send me the pick

Answer:

8 years old

Step-by-step explanation:

Set Amy's age as x.

Kevin's age will be 2x, since he is two times as old as Amy.

Father's age will be 5x, since he is five times as old as Amy.

x + 2x + 5x = Sum of the ages = 64

x + 2x + 5x = 64

Combine like terms: 8x = 64.

Divide 8 on both sides: x = 8.

Amy's age = 8.

Hope this helps!

Answer:

x=19°

Step-by-step explanation:

Line n and l form a right angle. We know that because line m and l are parallel to each other and line n crosses through them as a vertical line.

Right angles always add up to 90°.

So, Angle 1 add Angle 2 equals 90°.

4x+9+x-14=90°

Collect the like terms:

Like terms are terms with the same variables and powers.

4x+x=5x

9-14= -5

Form an equation:

5x-5=90°

Do inverse operations to isolate x.

90+5=95°

95÷5=19° (We divide by 5 because, in algebra, when a number is next to a letter, it means times, so we have to do the opposite and divide).

So, x=19°

Hope this helps :)

Using reflection concepts, it is found that the correct option is:

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

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Answer:

b

Step-by-step explanation:

Answer:

Mode: 7

Range: 6

Step-by-step explanation:

Think of the M and O in "mode" as "most often." The mode is the number that appears more than any other.

Range is the difference (subtraction) between the smallest number and largest number in the data. So we have 3, 5, 5, 7, 7, 7, 7, 7, 8, 8, and 9. We take the largest number, 9, and subtract the smallest number, 3, from it.

9-3 = 6

In the future, if you come across "median," that means to put all of the numbers in order from least to greatest and whatever number is in the middle will be the median. Think of the median of a road, which is at the center. The median in this data set would be 7. If you have two different numbers in the center, find the number between those two. For example: if the two median numbers were 7 and 8, the median would be 7.5.

The mean is the sum of all of the numbers, divided by two. So for this data set, you would do 3+5+5+7+7+7+7+7+8+8+9. Then, you would take the total and divide it by 2.

73 / 2 = 36.5

Lee's average speed in stage 3 of his journey is 83.33 km/h.

What is an average speed?

The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.

Here, we have

Lee travels in stage 1 of his journey is

d = s × t

d = 30 × 3/4

d = 22.5km

Lee travels in stage 2 of his journey is

d = s × t

d = 50 ×2(48/60)

d = 140km

The average speed in stage 3 is

d = 200 - 140 - 22.5 = 37.5km

t = 4hr - 2hr48m - 45m = 27 min

s = 37.5 ÷ 0.45 = 83.33 km/h

Hence, Lee's average speed in stage 3 of his journey is 83.33 km/h.

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Answer:

Step-by-step explanation:

Candice = 25mph for 4 hours.

Candice has driven= 25 * 4= 100miles.

Liz =50mph

Liz time to catch up to candice= 50 * 2= 100miles.

Therefore, It would have taken Liz two hours to catch up with Candice

The value of the given expression after evaluating the given expression is approximately -0.157

First, we need to evaluate the expression inside the absolute value signs

|2.8 - 3 1/4| = |2.8 - 13/4| = |(11.2 - 13)/4| = |-0.8/4| = 0.2

|-2.75| = 2.75

Substituting these values into the original expression, we get

-7/8(2.75 + 0.2) + (-15)^0

Simplifying the expression inside the parentheses first

-7/8(2.95) + 1

Multiplying -7/8 by 2.95

-2.157 + 1

Adding -2.157 and 1

-1.157

Finally, we evaluate (-15)^0. Any non-zero number raised to the zero power is equal to 1, so

(-15)^0 = 1

Putting it all together

-1.157 + 1 = -0.157

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It is true that the eigenvectors of the covariance matrix are equal to the principal components. Concretely, the first principal component (i.e. the largest eigenvector and associated largest eigenvalue) gives you the direction of the maximum variability in your data

The covariance matrix's eigenvectors are identical to its major components, which is a well-known fact. In more concrete terms, the direction of the most variability in your data is provided by the first principal component, which is represented by the largest eigenvector and related largest eigenvalue. After that, each primary component provides you decreasingly variable output. The fact that each primary component is orthogonal to the others is also important to note.

The above picture was taken from the Principal Component Analysis article on Wikipedia, which I previously referred to. This is a scatter plot of samples having a bivariate Gaussian distribution with a center at (1,3), a standard deviation of 3 roughly in the (0.878, 0.478) direction, and a standard deviation of 1 roughly in the orthogonal direction. The first principal component is the one with a standard deviation of 3, and the second is the orthogonal component. The shown vectors are the eigenvectors of the covariance matrix scaled by the relevant eigenvalue's square root and moved to place their tails at the mean.

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 The correct answer is option a: x < -7 or x > 11.

To solve the inequality x^2 + 4x > 77, we need to find the values of x that satisfy the inequality.

First, we can rewrite the inequality as x^2 + 4x - 77 > 0.

Next, we can factorize the quadratic equation x^2 + 4x - 77 = 0. However, since we are interested in finding the values that make the inequality true, we need to determine the sign of the expression x^2 + 4x - 77, which corresponds to the sign of the quadratic polynomial.

To find the solution, we can analyze the sign of the expression for different intervals on the x-axis. By factoring the quadratic equation or using other methods, we find that the roots of the equation are x = -11 and x = 7.

We can then create a sign chart and test the intervals to determine the sign of the expression:

Interval 1: x < -11

Plugging in a value less than -11, such as -12, into the expression x^2 + 4x - 77, we get (-12)^2 + 4(-12) - 77 = 41, which is greater than 0. Therefore, the expression is positive in this interval.

Interval 2: -11 < x < 7

Plugging in a value within this interval, such as 0, into the expression, we get 0^2 + 4(0) - 77 = -77, which is less than 0. Therefore, the expression is negative in this interval.

Interval 3: x > 7

Plugging in a value greater than 7, such as 8, into the expression, we get 8^2 + 4(8) - 77 = 43, which is greater than 0. Therefore, the expression is positive in this interval.

Based on the sign chart and analysis, we can conclude that the solution for x^2 + 4x > 77 is:

x < -11 or x > 7.

Therefore, the correct answer is option a: x < -7 or x > 11.

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I'm not sure what some of the ordered pairs are in what you wrote, but a function is when each input has one output. So, for every x there is one y. The x values can not repeat. So, remove one of two ordered pairs where the x value is repeating.

Answer: d. (if a polygon has congruent angles, then it is regular)

Step-by-step explanation:

Converses follow the format of "if q, then p" (while  the original conditional is "if p, then q")

Just because there are clouds does not mean its raining (cloudy days)

just because it has four equal sides does not make it a square (rhombi have four equal sides but are not squares)

just because you cannot see the sun does not mean it is not daytime (solar eclipses)

if a polygon is regular, it must have congruent angles

Answer:

1/2

Step-by-step explanation:

The multi-factor productivity of Cadbury's can be calculated by dividing the output (number of chocolate bars produced) by combined input factors (labor and overhead expenses). Correct answer is (c) 8.3 bars/$.

Multi-factor productivity measures the efficiency with which multiple inputs are used to produce a certain output. In this case, we need to calculate the productivity of Cadbury's by considering the number of chocolate bars produced and the combined input factors of labor and overhead expenses.

The number of chocolate bars produced in a day is given as 5000. Since a day is considered 8 hours, we can calculate the production rate per hour by dividing the total number of bars by the total hours:

5000 bars / 8 hours = 625 bars/hr. Therefore, option (a) 625 bars/hr is incorrect.

The combined input factors include the labor cost and the overhead expense. The labor cost per day is $200, and since there are 4 staff members, each staff member's cost would be $200 / 4 = $50. The overhead expense is given as $400 per day. Therefore, the total input cost is $400 (overhead) + $200 (labor) = $600.

To calculate the multi-factor productivity, we divide the output (number of bars) by the input cost: 5000 bars / $600 = 8.3 bars/$. Hence, the correct answer is (c) 8.3 bars/$, representing the multi-factor productivity of Cadbury's.

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Answer:

Part A : 1/62   Part  b : 1/60

Step-by-step explanation:

Well lets start with part A

(62)x=1

anything in parenthesis means multiply

62x= 1

divide everything by 62 to get x by itself

x= 1/62

Part A : 1/62

Part B : 60x = 1

x = 1/60

because same  reasoning

Answer:

Following are the solution to this question:

Step-by-step explanation:

In the query, there is an error. This will find Angle YXZ and the angle YZX.  

The student said YXZ angle and YXZ angle but he said it was incorrect. I've been doing my hardest to fix it.

\(\to \sin x = \frac{\text{opposite side of x}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\\to \sin x = \frac{1}{2}\\\\\to \sin x = \sin 30^{\circ}\\\\\to x = 30^{\circ} \\\\\to \angle YXZ = 30^{\circ}\\\\\)

\(\to \cos Z = \frac{\text{Adjacent side of z}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\ \to \cos Z = \frac{1}{2}\\\\ \to \cos Z= \cos 60^{\circ}\\\\\to Z = 60^{\circ} \\\\ \to \angle YZX = 60^{\circ}\)

If Aaron is designing a party game in which he needs exactly 24 possible outcomes, then he can use the following sets of actions to have a statistically fair game from the Statistics point  of view,

Toss a coin twice, and then then roll a 6-sided number cube.

How can he play a statistically fair game to get exactly 24 outcomes?

The game has 24 alternative outcomes, as far as we know. The next step is to identify a series of activities that produces 24 distinct outcomes with equal probabilities.

The first of the alternatives is the only one with a sample space of 24 elements.

Flip two coins, then roll a D6.

The results of each coin toss are 2:  (tails and heads).

There are 6 outcomes for the D6: (1, 2, 3, 4, 5, 6)

The combined outcomes of the two throws and rolling the number are then given by the product between the numbers of outcomes for each individual part, as solved below:

C = 2 × 2 × 6

C = 24

Thus, by tossing a coin twice, and then then rolling a 6-sided number cube, Aron can play a statistically fair game if h needs exactly 24 outcomes.

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To find the volume of the given solid using polar coordinates, we integrate the function over the appropriate range of values for the radial coordinate and the angle.

The given solid consists of a cone and a ring in the xy-plane. The cone is defined by the equation z = √(x² + y²), which represents a right circular cone with its vertex at the origin and opening upwards. The ring is defined by the inequality 1 ≤ x² + y² ≤ 64, which represents a circular region centered at the origin with an inner radius of 1 unit and an outer radius of 8 units.

To evaluate the volume using polar coordinates, we can express the equations in terms of the radial coordinate (r) and the angle (θ). In polar coordinates, the cone equation becomes z = r, and the ring equation becomes 1 ≤ r² ≤ 64. To set up the integral, we need to determine the range of values for r and θ. For the radial coordinate, r ranges from 1 to 8, as that corresponds to the region defined by the ring. For the angle θ, we can integrate from 0 to 2π, covering a full revolution around the origin.

The volume integral is then given by V = ∫∫∫ r dz dr dθ over the region defined by 1 ≤ r² ≤ 64 and 0 ≤ θ ≤ 2π. By evaluating this triple integral, we can find the volume of the solid.

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Answer: 4:5

Step-by-step explanation: The lowest form

Answer:

Step-by-step explanation:

4:5

Answer:

I assume you trying to find a surface area (tell me if I'm wrong. okay?

Step-by-step explanation:

V = (1/2)bhL

where b is the base of the triangle, h is the height of the triangle, and L is the length of the prism.

The formula for the surface area of a triangular prism is:

SA = bh + 2(L + b)s

where b and h are the same as above, L is the length of the prism, and s is the slant height of the triangle.

To use these formulas, we need to identify the values of b, h, L, and s from the given dimensions. The base of the triangle is 8 units, the height of the triangle is 6 units, and the length of the prism is 15 units. The slant height of the triangle can be found using the Pythagorean theorem:

s^2 = b^2 + h^2 s^2 = 8^2 + 6^2 s^2 = 64 + 36 s^2 = 100 s = sqrt(100) s = 10

Now we can plug these values into the formulas and simplify:

V = (1/2)bhL V = (1/2)(8)(6)(15) V = (1/2)(720) V = 360

SA = bh + 2(L + b)s SA = (8)(6) + 2(15 + 8)(10) SA = 48 + 2(23)(10) SA = 48 + 460 SA = 508

Therefore, the volume of the triangular prism is 360 cubic units and the surface area is 508 square units.

Answer:

U' (5, 1 )

Step-by-step explanation:

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

U (5, - 1 ) → U' (5, - (- 1) ) → U' (5, 1 )

Answer:

difference is 12 units

Step-by-step explanation:

line shown has a y-intercept of -4

now find y-intercept of f(x) by first finding its slope:

(-2,0) and (2,-32)

m = (0+32)/(-2-2)

m = 32/-4

m = -8 (slope)

Now find the y-intercept (or 'b') from substituting into 'y=mx+b':

0 = (-2)(-8) + b

0 = 16 + b

-16 = b (y-intercept)

-16 - (-4) = -12