What is the value of y in the hanger diagram
A. 4
B. 6
C. 24
D. 32

Answer:

Answer c): write the function in standard form

Step-by-step explanation:

To start with, it is important to write the polynomial in standard form, so as to have the two terms with the dependence in x together:

\(6x^2-42\,x+5\)

then you extract 6 as a common factor of just the terms with the variable x:

\(6(x^2-7x)+5\)

Then proceed to complete the square in the expression inside the parenthesis:

\(6(x^2-7x+\frac{49}{4} -\frac{49}{4})+5\)

\(6\,((x-\frac{7}{2} )^2-\frac{49}{4} )+5\\6\,(x-\frac{7}{2} )^2-\frac{147}{2}+5\\6\,(x-\frac{7}{2} )^2-\frac{137}{2}\)

Then, the function can be finally be written as:

\(f(x)=6\,(x-\frac{7}{2} )^2-\frac{137}{2}\)

in vertex form

Answer:

C.) Write the function in standard form

Step-by-step explanation:

The adding the polynomials we get -4x2 - 11x - 5.

Given, the polynomials are (-x2 + 9) and (-3x2 - 11x + 4).

The sum of the polynomials = (-x2 - 9) + (-3x2 - 11x + 4)

The sum of the polynomials is found by removing the parathesis and grouping the like terms.

-x2 - 9 + -3x2 - 11x + 4

= -x2 - 3x2 - 11x - 9 + 4

= -4x2 - 11x - 5

Therefore, the adding the polynomials we get -4x2 - 11x - 5.

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Answer:

Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

Step-by-step explanation:

The answer is the first one because the slope is technically \(\frac{2}{1}\)

Up 2 over 1

Since the slope is positive, the graph goes to the right.

(0, -6) is the y intercept because it intersects the y - axis.

Then you draw those two points and connect them.

Answer:

its A OwO

Step-by-step explanation:

Answer:

After 25 mins.

Step-by-step explanation:

There are 3 methods to find the largest and smallest number in an

unsorted integer array Python.

Method 1:

Method 2:

Method 3:

There are 3 methods to find the largest and smallest number in an

unsorted integer array Python.

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The two points that are collinear with the point D are points A and B which are on the same plane, K, as the point D

Collinearity of a set of points in geometry is the property of their being on a single line. A set of points with this property is known as a collinear set. In a broader sense, the term has been applied to aligned objects, that is, things that are "in a line" or "in a row."

If two or more points lie on the same line, they are said to be collinear in geometry. As a result, collinear points are the points that lie on a single straight line.

Therefore, the points are A and B.

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The  speed on the plane is 104mph while that of the wind is 78mph

The formula for calculating distance is expressed as:

Speed = Distance/Time

If the plane is flying with the wind;

3(r+ w) = 312

r + w = 104 ................... 1

If against the wind

4(r - w )= 312

r- w = 78 .................. 2

Add both equations

2r = 104  + 78

2r = 182

r = 91

Since r + w = 104

w = 104 - 91

w = 13

Speed on the plane  = r + w  = 91 + 13 = 104mi/hr

Speed on the wind = 91 - 13 = 78mi/hr

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Answer:

4

Step-by-step explanation:

Perimeter equation: Length + Width * 2

so divide 2 by 16

which gives you 8 and minus that by its half so you get 4

Answer:

Chelsea has 55 brushes

Step-by-step explanation:

If there are 60 brushes we know that Chelsea and Monique cant have more then 60 so you can look at you 11's 6 · 11 is 66 so we have to go lower 5 · 11 is 55 which might work so if Monique was to have 5 brushes then 11 times that would be 55 and 55 + 5 = 60

Given:

The equation is,

Explanation:

Taking out 2 as common from the expression.

Factorise the equation by splitting the middle term.

So answer is 2(x + 4)(x + 6)

Answer:

5 square feet

Step-by-step explanation:

1 hour is 60 minutes so 1/3 of it is 20 so youre finding how many in 1 minute so you do 100÷20 and it equals 5

a) The histogram of the data is illustrated below.

b) A cumulative percentage polygon is illustrated on histogram.

c) The cumulative percentage polygon shows us that approximately 66% of calls fall below 240 seconds.

Histograms are a way of representing data visually by dividing it into intervals or bins and plotting the frequency of data points in each bin. In this problem, we will be constructing a percentage histogram and polygon to analyze call duration data.

The call duration data is provided in seconds for 50 customers. To construct a percentage histogram, we need to first determine the bin size or interval. One way to do this is to use the square root rule, which states that the number of bins should be approximately equal to the square root of the sample size. In our case, the sample size is 50, so we can round the square root to 7 and use 7 bins.

Next, we need to determine the range of the data and set the limits for each bin. The range of the data is from 65 to 1141 seconds. We can set the limits for each bin as follows: 60-180, 181-300, 301-420, 421-540, 541-660, 661-780, 781-900, and 901-1020.

To construct the percentage histogram, we need to divide the frequency in each bin by the total sample size and multiply by 100. This gives us the percentage of data points in each bin. We can then plot these percentages as bars of equal width for each bin.

The percentage polygon is constructed by connecting the midpoints of the tops of each bar in the histogram with straight lines. This creates a polygon that represents the distribution of data in the histogram.

In this problem, we are asked to analyze call center performance if a call duration target of less than 240 seconds is set. From the percentage histogram and polygon, we can see that the majority of calls fall within the first three bins, which correspond to call durations of 60-180, 181-300, and 301-420 seconds. Only a small percentage of calls exceed 420 seconds.

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Your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal from linear equation concept.

For your vacation at the beach, you have already spent $160 on groceries for the week. In addition, you anticipate spending $40 each time you eat out.

To determine your overall budget for the vacation, you need to consider how many times you plan to eat out during the week. Let's say you plan to eat out 'x' number of times.

Since each time you eat out costs $40, the total amount spent on eating out can be represented by the equation:

Total spent on eating out = $40 * x

Adding this to the amount spent on groceries, the total vacation budget can be calculated as:

Total budget = Amount spent on groceries + Total spent on eating out

Total budget = $160 + ($40 * x)

For example, if you plan to eat out 3 times during the week, the calculation would be:

Total budget = $160 + ($40 * 3)

Total budget = $160 + $120

Total budget = $280

In this case, your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal.

The total budget will vary depending on the number of times you plan to eat out. By adjusting the value of 'x', you can calculate the specific total budget for your vacation.

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Answer:

25%

Step-by-step explanation:

9x4=9

1/4=25%

hope this helps

Answer:

in fraction 14/5 and in mixed fraction 2 4/5

Step-by-step explanation:

as B is located at approximately 2.8. So,                          

2.8 = 2.8/1

2.8/1 x 10/10 = 28/10

28 divided 2/10 divided 2 =14/5

and 14/5 =a 4/5

The expected value of X, E(X), for the given joint probability density function f(x, y) = (3/5)(xy + y^2), where 0 ≤ x ≤ 2 and 0 ≤ y ≤ 1, is 7/5.

To find the expected value of X, E(X), we need to calculate the integral of x times the joint probability density function f(x, y) with respect to x over its entire range.

Integrating the joint probability density function f(x, y) = (3/5)(xy + y^2) with respect to x from 0 to 2, we get:

∫[0 to 2] (3/5)(xy + y^2) dx = (3/5)[(1/2)x^2y + y^2x] evaluated from 0 to 2

= (3/5)[(1/2)(2^2)y + y^2(2) - (1/2)(0^2)y - y^2(0)]

= (3/5)[(2y + 2y^2) - 0]

= (3/5)(2y + 2y^2)

= (6/5)y + (6/5)y^2.

Taking the expected value with respect to X, we integrate the above expression with respect to y from 0 to 1:

∫[0 to 1] [(6/5)y + (6/5)y^2] dy

= (6/5)[(1/2)y^2 + (1/3)y^3] evaluated from 0 to 1

= (6/5)[(1/2)(1^2) + (1/3)(1^3) - (1/2)(0^2) - (1/3)(0^3)]

= (6/5)[(1/2) + (1/3)]

= (6/5)[(3/6) + (2/6)]

= (6/5)(5/6)

= 1.

Therefore, the expected value of X, E(X), is 1, which is equivalent to 7/5.

The correct answer is option c) 7/5.

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Answer:

0.4 is the answer

Step-by-step explanation:

Answer:graph A

Step-by-step explanation:

because I clicked the wrong one ‍♀️

Answer:

24 and 25

Step-by-step explanation:

Angle a will be 20° because angle a+angle b=90°

angle c is 90°(right angle)

now to find the sides we will have to do a Pythagoras theorem for this indirectly therefore:

7²=49/2 sides

=24.5

therefore one side will be 24 the other side will be 25

if I am right mark as brainliest

Answer:

Which question and can it be more clear

Step-by-step explanation:

The method of critical regions is an alternative approach to hypothesis testing, used to validate a claim. This method is based on comparing the observed sample statistic to one or more critical values, predetermined by the desired significance level, that determine the rejection or acceptance of the null hypothesis.

To use this method, the researcher first establishes the critical regions, typically denoted by critical values or cutoff points. A decision to reject or fail to reject the null hypothesis is then made by comparing the observed statistic to the critical values. If the observed value is beyond one or more of the critical values, the null hypothesis is rejected. If the observed statistic falls within the critical regions, the null hypothesis is accepted.

The critical region method is sometimes used instead of the p-value method when the probability of a Type II error is more important than the probability of a Type I error. Additionally, this method can be used to compare multiple population means, whereas the p-value method is limited to comparing one population mean. Therefore, the critical region method can be used in addition to or instead of the p-value method, depending on the researcher's desired result.

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Answer:

$76

Step-by-step explanation:

$38 + $38 = $76

We can be 99% confident that the true average price of a regular room with a king size bed falls within this interval.

The interval estimate to estimate the true average price of a regular room with a king size bed in the resort community with 99% confidence can be constructed using the sample mean, sample standard deviation, and the critical value for a 99% confidence level.

Given that the sample mean is $125 and the sample standard deviation is $30, we can calculate the margin of error using the formula:

Margin of Error = (Critical Value) * (Standard Deviation / √Sample Size)

Since we have a sample size of 18 and we want a 99% confidence level, the critical value can be obtained from the Z-table or using statistical software, and for a 99% confidence level, it is approximately 2.878. Plugging in the values, we get:

Margin of Error = 2.878 * (30 / √18) ≈ 18.71

The interval estimate is then constructed by adding and subtracting the margin of error from the sample mean:

Interval Estimate = Sample Mean ± Margin of Error

Interval Estimate = $125 ± $18.71

Rounded to two decimal places, the interval estimate for the true average price of a regular room with a king size bed in the resort community with 99% confidence is approximately $106.29 to $143.71.

# A travel agent is interested in the average price of a hotel room during the summer in a resort community. The agent randomly selects 18 hotels from the community and determines the price of a regular room with a king size bed. The average price of the room for the sample was $125 with a standard deviation of $30. Assume the prices are normally distributed. Construct an interval to estimate the true average price of a regular room with a king size bed in the resort community with 99% confidence. Round the endpoints to two decimal places, if necessary.

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0.29 km is equal to 290,000 mm when rounded to two significant figures.

Convert kilometers to millimeters, you need to multiply the given value by a conversion factor. In this case, since there are 1,000 meters in a kilometer and 1,000 millimeters in a meter, the conversion factor is 1,000,000 (1,000 x 1,000).

Step 1: Multiply 0.29 km by the conversion factor:

0.29 km x 1,000,000 = 290,000,000 mm

Step 2: Round the result to two significant figures:

Since the original value, 0.29 km, has two significant figures, we round the result to match.

290,000,000 mm becomes 290,000 mm.

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For the required value of the given complex numbers z₁z₂ = 32(cos 255° + isin 255°).

Complex numbers are those that expand on the idea of real numbers by incorporating an illogical element.

The formula for a complex number is "a + bi," where "a" and "b" are real numbers and "i" is the imaginary unit, which is equal to the square root of -1.

"A" stands for the complex number's real component, and "b" stands for the imaginary component.

We multiply the magnitudes of two complex numbers and add their arguments to determine their product.

Let's compute z₁z₂ with the supplied values.

Given:

z₁ = 8(cos 45° + isin 45°)

z₂ = 4(cos 210° + isin 210°)

We add the arguments and multiply the magnitudes to find z₁z₂:

Magnitude of z₁ = 8

Magnitude of z₂ = 4

Argument of z₁ = 45°

Argument of z₂ = 210°

Now, let's calculate z₁z₂:

Magnitude of z₁z₂ = (Magnitude of z₁) × (Magnitude of z₂) = 8 × 4 = 32

Argument of z₁z₂ = (Argument of z₁) + (Argument of z₂) = 45° + 210° = 255°

Therefore, z₁z₂ = 32(cos 255° + isin 255°).

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The correct question =

Given z₁ = 8(cos 45° + isin 45°) and z₂ = 4(cos 210° + isin 210°), what is z₁z₂?

The orthonormal basis obtained by the Gram-Schmidt process is { (2/2,1/2,-2,3), (1/3,2/3,2/3), (2/3,-2/3,1/3) }

To apply the Gram-Schmidt orthonormalization process to transform the basis for R3 into an orthonormal basis, we follow these steps:

So, applying these steps to the given basis B = { (2,1,-2),(1,2,2),(2,-2,1) }, we get:

Let v1 = (2,1,-2), then u1 = v1/||v1|| = (2/3,1/3,-2/3).

Let v2 = (1,2,2). First, we find the projection of v2 onto u1:

proj(v2,u1) = (v2⋅u1)u1 = ((2/3)+(2/3)-4/3)(2/3,1/3,-2/3) = (4/9,2/9,-4/9)

Then, we get the new vector w2 = v2 - proj(v2,u1) = (1,2,2) - (4/9,2/9,-4/9) = (5/9,16/9,22/9), and let u2 = w2/||w2|| = (5/29,16/29,22/29).

3. Let v3 = (2,-2,1). First, we find the projections of v3 onto u1 and u2:

proj(v3,u1) = (v3⋅u1)u1 = ((4/3)-(2/3)-(2/3))(2/3,1/3,-2/3) = (0,0,0)

proj(v3,u2) = (v3⋅u2)u2 = ((10/29)-(32/29)+(22/29))(5/29,16/29,22/29) = (4/29,-8/29,6/29)

Then, we get the new vector w3 = v3 - proj(v3,u1) - proj(v3,u2) = (2,-2,1) - (0,0,0) - (4/29,-8/29,6/29) = (1/3,2/3,2/3), and let u3 = w3/||w3|| = (2/3,-2/3,1/3).

Therefore, the orthonormal basis obtained by the Gram-Schmidt process is:

{ (2/2,1/2,-2,3), (1/3,2/3,2/3), (2/3,-2/3,1/3) }

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Answer:

Step-by-step explanation:

24/x = 28/(32 - x)                  Cross multiply

24 * (32 - x) = 28x                 Remove the brackets.

768  - 24x = 28x                   Add 24x to both sides

768 = 28x + 24x

768 = 52x

52x = 768                              Divide by 52

x = 768/52

x = 14.77

AB = 32 - 14.77

AB = 17.23