Mai uses Triangle A and says the slope of this line is 6/4.
Elena uses Triangle B and says no, the slope of this line is 1.5.
Do you agree with either of them? Explain.

Answer:

D

Step-by-step explanation:

The midsegment AC is half the sum of the parallel bases, that is

AC = \(\frac{DF+EB}{2}\) , then

x = \(\frac{13+9}{2}\) = \(\frac{22}{2}\) = 11 → D

Answer:

x = 5

y = 2

Step-by-step explanation:

multiply by -2 the second equation and add the first equation to eliminate "x"

\(4x+5y=30\\-4x-10y=-40\)

_______________

            \(-5y=-10\\y=\frac{-10}{-5} =2\)

To find "x", substitute the value of "y" in any equation. I do it in the first

\(4x+5(2)=30\)

\(4x+10=30\)

\(4x=30-10\\x=20/4=5\)

Hope this helps

Answer:

i got you

Step-by-step explanation:

first you will make the easiest equation into y=mx+b

2x=5y=20

subtract 2x from it self and 20, you will eliminate the 5 but keep the y then you will get y=2x+20

then you will substitute it into the y in the other equation 4x+5(2x+20)=30

after doin that you will multiply 5 by both the number in the parenthesis

4x+15x+100=30 add like terms 4x+15x =

19x+100=30 subtract 100 fromm itself and 30 you will get -70

-70 divided by 19x then you will get your answer

The magnitude of the magnetic dipole moment of the coil is approximately 0.079 A·m². The magnitude of the torque acting on the coil is approximately 0.068 N·m.

(a) To find the magnitude of the magnetic dipole moment (M) of the coil, we can use the formula M = NIA, where N is the number of turns, I is the current flowing through the coil, and A is the area of the coil. For the circular coil, the area is given by A = πr², where r is the radius. Substituting the values N = 21, I = 11.8 mA = 0.0118 A, and r = 4.8 cm = 0.048 m, we can calculate the magnetic dipole moment as M = NIA = 21 * 0.0118 * π * (0.048)² ≈ 0.079 A·m².

(b) The torque acting on the coil can be calculated using the formula τ = M x B, where M is the magnetic dipole moment and B is the magnetic field strength. The magnitude of the torque is given by |τ| = M * B, where |τ| is the absolute value of the torque. Substituting the values M ≈ 0.079 A·m² and B = 0.350 T, we can calculate the magnitude of the torque as |τ| = M * B ≈ 0.079 A·m² * 0.350 T ≈ 0.068 N·m.

Therefore, the magnitude of the magnetic dipole moment of the coil is approximately 0.079 A·m², and the magnitude of the torque acting on the coil is approximately 0.068 N·m.

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Answer:

none i think not sure tho

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the absolute extreme values of f(x) = x³ -63x² on the interval [-21, 63].

The absolute extremes will be located at the ends of the interval and/or at places within the interval where the derivative is zero.

The derivative of f(x) is ...

  f'(x) = 3x² -126x

This is zero when its factors are zero.

  f'(x) = 0 = 3x(x -42)

  x = {0, 42} . . . . . . . . . within the interval [-21, 63]

The attachment shows the function values at these points and at the ends of the interval. It tells us the minima are located at x=-21 and x=42. The maxima are located at x=0 and x=63. Their values are -37044 and 0, respectively.

__

Additional comment

These are absolute extrema in the interval because no other values are larger than these maxima or smaller than the minima.

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The correct answer is A. line. A line is a straight path that extends infinitely in both directions. It has no endpoints and continues indefinitely.

A line is a basic geometric object that is defined by two points or can be represented by a single equation. It is characterized by its straightness and infinite length, extending in both directions without any boundaries or endpoints. A line can be represented by a straight line segment with two distinct points or by an equation such as y = mx + b in a coordinate system.

On the other hand, a plane refers to a two-dimensional flat surface that extends infinitely in all directions. It is not a straight path but rather a flat, continuous surface. A ray, is a part of a line that has one endpoint and extends infinitely in one direction. It is not a straight path that continues indefinitely in both directions like a line.

A triangle is a closed geometric shape with three sides and three angles. It is not a straight path but rather a closed figure formed by connecting three non-collinear points.Therefore ,the correct answer is A.

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(a) The probability of at most 4 customers arriving in any given minute is 0.835.
(b) The probability of at least 3 customers arriving in an interval of 2 minutes is 0.668.

Step by step explanation:
(a) To find the probability of at most 4 customers arriving in any given minute, we need to use the Poisson Distribution formula: P(X ≤ x) = Σ (e-λ λk) / k!
where λ is the mean number of customers arriving in one minute, which is 1.5.
Therefore, P(X ≤ 4) = Σ (e-1.5 (1.5)k) / k! = 0.835.

(b) To find the probability of at least 3 customers arriving in an interval of 2 minutes, we need to use the same Poisson Distribution formula.
This time, λ = 3 (the mean number of customers arriving in two minutes).
Therefore, P(X ≥ 3) = 1 - Σ (e-3 (3)k) / k! (where k ranges from 0 to 2)
= 1 - (0.224 + 0.452 + 0.224) = 0.668.

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Market Size: Qualitative data, Nominal scale. Promotion: Qualitative data, Nominal scale. Week: Qualitative data, Ordinal scale.

a) The categorical qualitative variables from the ones listed above are as follows  :Market Size.

This variable represents the size of the customer base (small, medium, or large market).Promotion: Type represents which promotion the store ran (Promotion 1, 2, or 3. They ran three different promotions for a new product to see which one is more effective.).

b) The numerical (quantitative) variables from the ones listed above are as follows: Sales: (In Thousands) represents the number sales (in $1000) made in the specified week of December (Week).Age: Store represents the age of the store in years. Week: Number represents the week in which the promotion ran (Week 1, 2, 3, 4 - captured sales of new product over four weeks) c) Level of measurement for each variable is given as follows :Sales: Quantitative data, Ratio scale.Age: Quantitative data, Ratio scale.

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Answer:

72

Step-by-step explanation:

All angles add up to 360

Answer:

d/dx f(x)f(x) = d/dx f(x) + d/dx f(x)

Step-by-step explanation:

An example of the product rule is the following:

d/dx u*v = du/dx u + dv/dx v

Another way of interpreting this is that the product rule states that the derivative of a product is the derivative of the sum of the products with respect to their terms.

Answer:

(4)

Step-by-step explanation:

My teacher went over it in class.

The point P(-1, 6) becomes P'(1, 6) when it is rotated 90 degrees counterclockwise about the origin.

Given is the coordinate of point as (- 1, 6). It is rotated by 90° counterclockwise about the origin.

When rotating a point 90 degrees counterclockwise about the origin our point A(x, y) becomes A'(-y, x).

We can write the point (-1, 6) as -

P'(1, 6)

Therefore, the point P(-1, 6) becomes P'(1, 6) when it is rotated 90 degrees counterclockwise about the origin.

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The domain and the range of the graph are

From the question, we have the following parameters that can be used in our computation:

The graph (see attachment)

The above graph can be represented as a list of ordered pairs

The rule of a graph is that

Using the above as a guide, we have the following:

Domain = [-2, ∝)

Range = All set of real values

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The sum of the measures of the interior angles of a polygon with n sides can be found using the formula (n-2) * 180 degrees.

For a 10-sided figure, we have (10-2) * 180 = 8 * 180 = 1,440 degrees.

Therefore, the sum of the measures of the interior angles of a 10-sided figure is 1,440°.

The answer is A.

Correct option is B, the graph represents the inequality y ≤ - x + 9.

Both mathematical expressions that are created by joining two expressions are called inequalities. The equation's two expressions are deemed to be equal when the equals sign (=) is present. The characters >, or indicate that the two expressions are not necessarily equal in an inequality.

We may see the values that an inequality reflects by placing inequality on a number line. We create a straight line and identify the end points with either an open circle or a closed circle in order to represent inequalities on a number line.

For the given graph,

y ≤ - x + 9

Put x = 0

y ≤ 9

The above condition is correct for the given graph.

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Answer: Angle c is 80 degrees

Equation: 60+40+x = 180

Step-by-step explanation: First of all, know a triangle equals 180 degrees. You add the angles you already know together and then subtract that number from 180. Then you get angle c. :)

Answer:

C) 18 ounces

Step-by-step explanation:

From observation of the pie chart (attached), we can see that 27% of the salad mix is romaine lettuce. Therefore, to determine the approximate number of ounces of romaine lettuce in a 64-ounce container of salad mix, we need to calculate 27% of 64.

First, convert the percentage to a decimal by dividing it by 100:

\(\sf 27\%=\dfrac{27}{100}=0.27\)

Multiply the decimal value of the percentage by the number you want to find the percentage of. Therefore, multiply 0.27 by 64:

\(\sf 0.27 \times 64 = 17.28\)

Therefore, the 64-ounce container of salad mix has approximately 17 ounces of romaine lettuce, rounded to the nearest whole number.

The closest option among the given answer choices is C) 18 ounces.

Answer and Step-by-step explanation:

To determine how many ounces of romaine lettuce Dominic's 64-ounce container of salad mix has, we need to calculate the percentage of romaine lettuce in the mix.

According to the pie chart, romaine lettuce makes up 27% of the salad mix.

To find the number of ounces, we can multiply the percentage by the total number of ounces in the container.

27% of 64 ounces is equal to (27/100) * 64 = 17.28 ounces.

Therefore, the container has approximately 17.28 ounces of romaine lettuce.

Since none of the answer choices match this exact amount, the closest option is C) 18 ounces.

1. Milliliters, cubic centimeters and liters, are some of the volume units which are used to measure the space occupied by three-dimensional objects.

2. By definition:

-One milliliter (mL) is one thousandth of a liter (L). Therefore:

1 milliliter = 0.001 liters

- One cubic centimeter (cm³) is one thousandth of a liter (L). So:

1 cm³ = 0.001 liters

3. As you can see, 1 milliliter=1 cm³, therefore:

0.025 mL=0.025 cm³

4. To convert milliliters (mL) to liters (L), you have:

1 mL---------- 0.001 L

0.025 mL-----L=?

=(0.025)(0.001)/1

=2.5x10^-5 L

If l is the length of the brace, this is the same as  |7 - L| = 0.025 so option (A) will be correct.

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

In other meaning, expression is very useful to determine the end or root value of constraint.

For example 3x +5y

The constraint of expression is represented as = or <, >.

Given that,

Length of metal brace

l = 7 + 0.025

0 = 7 + 0.025 -l

7 - l = -0.025

Now taking mode on both sides

|7 - L| = |-0.025|

|7 - L| = 0.025

Hence "If l is the length of the brace, this is the same as  |7 - L| = 0.025".

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High clouds are those that form at altitudes of at least 20,000 ft (6000 m).

At high altitudes, ice crystals form due to which cloud formation occurs.   Cirrus, cirrostratus, and cirrocumulus clouds are a few types of clouds. Cirrostratus clouds frequently form a thin, white layer that resembles a veil and covers the entire sky. Small, spherical, white clouds called cirrocumulus develop in long rows. Because they can provide information about changes in atmospheric pressure, temperature, and moisture levels in the upper atmosphere, these high clouds are crucial for meteorologists to investigate.

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Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.

A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.

Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.

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Answer:

Step-by-step explanation:

9994ddaefeaf

The three consecutive integers are 10, 11, and 12.

To find three consecutive integers, the sum of whose squares is 65 more than three times the square of the smallest, follow these steps:

1. Let the smallest integer be x. Then, the other two consecutive integers are x + 1 and x + 2.

2. The sum of their squares is x^2 + (x + 1)^2 + (x + 2)^2.

3. The given condition is that this sum is 65 more than three times the square of the smallest integer: x^2 + (x + 1)^2 + (x + 2)^2 = 3x^2 + 65.

4. Simplify the equation:
  x^2 + (x^2 + 2x + 1) + (x^2 + 4x + 4) = 3x^2 + 65

5. Combine like terms:
  3x^2 + 6x + 5 = 3x^2 + 65

6. Subtract 3x^2 from both sides to eliminate the x^2 terms:
  6x + 5 = 65

7. Subtract 5 from both sides:
  6x = 60

8. Divide by 6:
  x = 10

So, the three consecutive integers are 10, 11, and 12.

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The probability of rolling a 3 more than 31 times when rolling a die 126 times using the normal approximation is approximately 0.006 (or 0.6% when expressed as a percentage).

To find the probability of rolling a 3 more than 31 times when rolling a die 126 times, we can use the normal approximation to the binomial distribution. The normal approximation can be applied when the number of trials is large (126 in this case) and the probability of success (rolling a 3) is not extremely small or extremely large.

First, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution using the formula:

μ = n * p

σ = √(n * p * (1 - p))

In this case, the number of trials (n) is 126, and the probability of rolling a 3 (p) is 1/6 since there is one favorable outcome (rolling a 3) out of six possible outcomes (rolling a die).

μ = 126 * (1/6) ≈ 21

σ = √(126 * (1/6) * (5/6)) ≈ 4.18

Next, we can use the normal distribution to approximate the probability. We need to find the z-score corresponding to 31.5 (31 + 0.5, considering continuity correction). The z-score is calculated using the formula:

z = (x - μ) / σ

z = (31.5 - 21) / 4.18 ≈ 2.51

We can then consult a standard normal distribution table or use statistical software to find the probability associated with a z-score of 2.51. The probability can be obtained by subtracting the cumulative probability corresponding to 2.51 from 0.5 (to account for one tail).

Based on the calculation, the probability of rolling a 3 more than 31 times when rolling a die 126 times using the normal approximation is approximately 0.006 (or 0.6% when expressed as a percentage).

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Answer:

3

Step-by-step explanation:

basically the largest number decided by 5 smaller than 438 is 435. so the answer is 3

Answer:

Any number divisible by 9 must have the sum of its digits divisible by 9. The sum of the digits of 456 is 15, so you need to subtract 6.

The assumption necessary to apply a goodness-of-fit test is that the data are measured with a nominal or ordinal scale.

Goodness-of-fit tests are used to determine whether an observed frequency distribution of categorical data fits an expected theoretical distribution. They compare the observed frequencies with the expected frequencies based on a specified distribution. The data being analyzed using a goodness-of-fit test are typically categorical, such as counts or proportions in different categories or groups.

Therefore, the correct answer is: The data are measured with a nominal or ordinal scale.

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Step-by-step explanation:

Adjacent angles are two angles that have a common vertex and common side but do not overlap. They share the same vertex and same common side.

Vertical angles are opposite angles made by two intersecting lines.

Hope this helps!

Answer:

the answer is 3GB

Step-by-step explanation:

30-21=9 9/3 = 3