Andrew draws triangle ABC. He then constructs a perpendicular bisector from vertex A that intersects side BC at point D. What can andrew conclude based on his drawing

Answer:

0 to 100 miles

Step-by-step explanation:

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An altitude of a three-dimensional object is best described as option D, "a segment that is perpendicular to the planes containing the two bases."

3D geometry is the study of shapes in 3D space using three coordinates: x-coordinate, y-coordinate, and z-coordinate. To discover the exact location of a point in 3D space, three criteria are required.

An altitude is a line segment drawn from a vertex of a three-dimensional object (such as a pyramid or cone) that is perpendicular to the plane including the base of the object. The altitude can be used to find the height of the object, which is the distance from the vertex to the base along the altitude.

For example, in a pyramid, the altitude is a line segment drawn from the apex (the top vertex) to the center of the base that is perpendicular to the base. In a cone, the altitude is a line segment drawn from the apex to the center of the circular base that is perpendicular to the base.

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The probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution.

To calculate the probability, we need to assume that the sample proportion follows a normal distribution. This assumption holds true when the sample size is sufficiently large and the conditions for the central limit theorem are met.

First, we need to calculate the standard error of the sample proportion. The standard error is the standard deviation of the sampling distribution of the sample proportion and is given by the formula sqrt(p(1-p)/n), where p is the estimated proportion and n is the sample size.

Next, we convert the sample proportion range into z-scores using the formula z = (x - p) / SE, where x is the given proportion and SE is the standard error. In this case, we use z-scores of 0.2 and 0.42.

Once we have the z-scores, we can use a standard normal distribution table or a statistical software to find the corresponding probabilities. The probability of the sample proportion falling between 0.2 and 0.42 is equal to the difference between the two calculated probabilities.

Alternatively, we can use the z-table to find the individual probabilities and subtract them. The z-table provides the cumulative probabilities up to a certain z-score. By subtracting the lower probability from the higher probability, we can find the desired probability.

In conclusion, the probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution and z-scores. This probability represents the likelihood of observing a sample proportion within the specified range.

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Answer:

the answer is 3/4

Step-by-step explanation:

√3x3/4x4

I. e. 3/4

Hope it helps

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Systematic sampling is the term used to describe the sampling method portrayed in the scenario.

Systematic sampling is a form of probability sampling technique in which a researcher randomly selects a beginning point before selecting every nth item from the target population. The researcher is choosing one consumer at each table in this case, which can be interpreted as choosing every nth customer, where n is the average number of customers per table.

When the researcher wants to select a sample from a pre-defined list and the target population is broad and diverse, systematic sampling is a beneficial strategy. Because it takes less time and resources to choose the sample, it is also a more effective strategy than simple random sampling.

It is crucial to remember that systematic sampling might induce bias if the process of selection follows a pattern or is regular. For instance, bias could be introduced if the researcher only chooses consumers at tables with even numbers, producing a non-representative sample. To eliminate bias and get a representative sample, it is crucial to ensure that the selection procedure is truly random.

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If one of the roots of the quadratic equation 4x²−13x+m=0 is 4, then the value of m is 12 and the other is equal to -3/4. The answer is option(1)

To find the values of m and the other root of the equation, follow these steps:

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Answer:

B

Step-by-step explanation:

I copied some smart kid

The depreciation for the first year of the truck's useful life is $7,467 by the straight-line method and $2,720 by the units-of-output method.

Depreciation per year = (Cost - Salvage value) / Useful life

Depreciation per year = (40,000 - 5,000) / 5 = $7,000

Depreciation for the first year = (16,000 / 15,000) x $7,000 = $7,467

Depreciation per mile = (Cost - Salvage value) / Total miles expected to be driven

Depreciation per mile = (40,000 - 5,000) / (5 x 15,000) = $0.17/mile

Depreciation for the first year = 16,000 x $0.17 = $2,720

Therefore, the depreciation for the first year of the truck's useful life is $7,467 by the straight-line method and $2,720 by the units-of-output method.

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The rate of flow of gasoline while a customer is pumping it into a gas tank can vary and is dependent on factors such as the type of fuel pump, the condition of the gas tank, and other variables.

The rate of flow of gasoline while a customer is pumping it into a gas tank can vary depending on several factors, including the type of fuel pump being used and the condition of the gas tank.

Typically, the rate of flow is measured in terms of volume per unit time, such as liters per minute.

The rate of flow can be influenced by factors such as the size of the nozzle, the efficiency of the pump, and any restrictions or obstructions in the fuel system.

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Answer:

1.

Step-by-step explanation:

The line goes through positive 2

Answer:

2

Step-by-step explanation:

the slope has to intercept at y=2 and slope is rise over run so you would go up 1 and over 2.

Answer:

Hello! I think the answer is D: $2.25. Please correct me if i'm wrong.

Step-by-step explanation:

Answer:

D: $2.25

Step-by-step explanation:

The average power output of a bike rider at a speed of 20 miles per hour is 556 W

Given, Riding a bike burns 100 Calories per mile. Speed of riding a bike is 20 miles per hour. Power is a measure of the rate at which work is done over time.

Therefore, the formula for average power is given by,

P = W/t

Where, P is power, W is work and t is time.

Now, We know that riding a bike burns 100 Calories per mile, but we have to find out the work done.

So, work done = 100 Calories × distance traveled= 100 × 1.609 × 1000 = 160900 J

Time taken = distance/speed= 1.609/20 = 0.08045 hours

Putting values in the formula of power, we get,

P = W/t= 160900/0.08045= 1999999.9 J/hour

Converting hour to seconds,1 hour = 3600 seconds1 J/s = 1 watt1 J/hour = 1 / 3600 watt

Therefore, power = 1999999.9 / 3600= 555.5556 watts (approx)

Therefore, the average power output of a bike rider at a speed of 20 miles per hour is 556 W (approx). Answer: 556

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Monica's age is 20 years and her father's age is 52

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.

Represent Monica's age by x and her father's age by y

y -x = 32 equation 1

y-16= 9(x-16)

= y-16 = 9x -144

y-9x = -144+16

y - 9x = -128 equation 2

subtract equation 2 from 1

-x-( -9x )= 32-(-128)

8x = 160

x = 160/8

x = 20

substitute 20 for x in equation 1

y = 32+x

y = 32+20

y = 52

Therefore Monica's age is 20 and her father's age is 52

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a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

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Answer:

3^2 is not 6, it is 9 so that would have made your final answer wrong. It was supposed to be 90 not 60

A number written in scientific notation has a Negative Exponent that indicates the digits used in the number and is always written with 1 digit to the left of the decimal place.

The coefficient is always a number larger than or equal to one and less than ten in scientific notation. There is an integer exponent. When using scientific notation to write integers bigger than ten

As a result, when a number is smaller than 1, it will have a negative exponent in scientific notation.

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In summary, to sketch a region in the plane consisting of points whose polar coordinates satisfy the given conditions, we need to identify the range of values for the radius and angle that satisfy the conditions, plot points using these values, and connect them to form the region.

To sketch the region in the plane consisting of points whose polar coordinates satisfy the given conditions, we need to first understand what the conditions are. In this case, the conditions are not provided, so it's difficult to give a specific answer. However, generally speaking, polar coordinates represent a point in the plane using a radius and an angle. The radius is the distance from the origin to the point, and the angle is the angle formed between the positive x-axis and a line drawn from the origin to the point.
To sketch a region in polar coordinates, we need to identify the range of values for the radius and angle that satisfy the given conditions. We can then plot points in the plane using these values and connect them to form the region.
For example, if the conditions were that the radius must be greater than 2 and the angle must be between pi/4 and 3pi/4, we would plot points with polar coordinates (r, theta) where r > 2 and pi/4 < theta < 3pi/4. We would then connect these points to form the region.

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Answer:

$1.10

Step-by-step explanation:

4.95-2.75=2.20

2.20/2=1.10

Answer:

$1.10

Step-by-step explanation:

4.95-2.75=2.20

2.20÷2=1.10

Answer:

2x^2=80

Step-by-step explanation:

The next permutation after "decba" in the lexicographic ordering of the permutations of the set {a, b, c, d, e} is "ebcda."(option d)

To find the next permutation, we need to consider the order of the elements from left to right. Starting from the rightmost element, we look for the first pair of adjacent elements where the left element is smaller than the right element. In this case, it is "c" and "b" in "decba." We keep the left element fixed and find the smallest element to its right that is larger than the left element. Here, it is "d."

Next, we swap the left element with the smallest larger element found, resulting in "deabc." Now, we need to rearrange the elements to the right of the left element in ascending order. In this case, it becomes "deacb." This is the lexicographically next permutation after "decba."

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Answer:

3x^2+12=0

3x^2=0-12

3x^2=-12

X^2=12/3

x^2=4

X= root under4

x=2

Answer:

Q3: x1=2+i, x2=2-i Q4: x1=-3/2+i, x2=-3/2-i

Step-by-step explanation:

\(x^{2} - 4x + 5 =0\)

( \(4\)± \(\sqrt{16 - 4*1*5}\) ) / \(2\) = (

x1= 2+i

x2= 2-i

\(2x^{2} +6x + 5 =0\)

( \(-6\) ± \(\sqrt{36 - 4*2*5}\) ) / \(4\) = (-6 ± \(\sqrt{-4}\) )/4= (-3 ± i)/2

x1 = -3/2 +i

x2 = -3/2 -i

Answer:

\(\frac{9\pi }{4}\) inches

Step-by-step explanation:

I suppose they are asking you for the length of the red part.

18\(\pi \\\) * \(\frac{45}{360}\) = \(\frac{9\pi }{4}\) inches

Answer:

L = 7.07 in

Step-by-step explanation:

L = arc lenght

\(L=\frac{\pi (45)(9)}{180} =2.25\pi =7.07in.\)

Hope this helps

The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

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Answer:
208

Step-by-step explanation:

the formula is:

2*(width*lenght+height*lenght+height*width)

2*(6*8+4*8+4*6)

208

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided a net of cuboid with ,

And we are asking to find the surface area of the figure ( cuboid ) . We know that ,

\( \quad\underline{ \boxed{\sf{Surface \: Area_{(Cuboid)} = 2 ( lw + wh + hl )}}}\)

Where ,

Solution : -

\( \longmapsto \qquad \: 2((8 \times 6) + (6 \times 4) + (4 \times 8))\)

\( \longmapsto \qquad \: 2(48 + 24 + 32)\)

\( \longmapsto \qquad \: 2(48 + 56)\)

\( \longmapsto \qquad \:2(104)\)

\( \longmapsto \qquad \: \blue{\underline{\boxed{\frak{208 \: m {}^{2} }}}} \quad\bigstar\)

Answer:

\(\huge\boxed{\sf 2a^2-13b^2+12abc}\)

Step-by-step explanation:

\(=6a^2-4b^2+4abc-9b^2-4a^2+8abc\\\\Combine \ like \ terms\\\\=6a^2-4a^2-4b^2-9b^2+8abc+4abc\\\\=2a^2-13b^2+12abc\\\\\rule[225]{225}{2}\)

Answer:

Hello! The answer is: \(2a^2 - 13b^2 + 12abc\)

Step-by-step explanation:

\(6a^2 - 4b^2 + 4abc - 9b^2 - 4a^2 + 8abc\)

Rearrange to combine like terms:

\(6a^2 - 4a^2 - 4b^2 - 9b^2 + 4abc + 8abc\)

Combine like terms:

\(2a^2 - 13b^2 + 12abc\)