Two brothers, Leo and William, are racing their bikes around
a 9.5-mile loop. Since Leo is younger, he is given a 1.5-mile
head start. The graph to the right shows Leo's progress.
The expression 19x can be used to determine y, the distance
in miles that William has traveled after x hours have passed.
Which statement about this situation is not true?

A. William is traveling at a faster speed than Leo.

B. The difference between their speeds is exactly
1.5 miles per hour.

C. Leo traveled only 8 miles during the race.

D. Both brothers will finish the race in 1/2 hour.

Answer:

3

Step-by-step explanation:

this is the answer hope this helps

Answer:

3

Step-by-step explanation:

i hope this answer helps you

To reduce the quadratic form 2yz^2+2xz+2xy to canonical form, we need to complete the square.

First, we factor out the coefficient of z^2 from the yz^2 term:

2yz^2 = 2z(yz)

Next, we add and subtract the square of half the coefficient of z from the resulting expression:

2z(yz + (x/y)^2 - (x/y)^2)

= 2z((y + x/y)^2/4 - (x/y)^2)

= z(y + x/y)^2/2 - zx^2/y

Now, we can see that the quadratic form can be written in the canonical form:

q(x,y,z) = (y + x/y)^2/2 - x^2/y

To find the rank, we need to count the number of non-zero eigenvalues. In this case, we have two non-zero eigenvalues, so the rank is 2.

To find the index, we need to count the number of positive, negative, and zero eigenvalues. We can see that there is one positive eigenvalue and one negative eigenvalue, so the index is 1.

Finally, to find the signature, we subtract the index from the rank. In this case, the signature is 1.
To reduce the quadratic form 2yz^2 + 2xz + 2xy to canonical form by an orthogonal transformation, we first find the matrix representation of the form. The given quadratic form can be written as Q = [x, y, z] * A * [x, y, z]^T, where A is a symmetric matrix:

A = | 0  1  1 |
    | 1  0  1 |
    | 1  1  2 |

Now, we find the eigenvalues and eigenvectors of A. The eigenvalues are λ₁ = 3, λ₂ = -1, and λ₃ = 0, with corresponding eigenvectors:

v₁ = [1, 1, 1]
v₂ = [-1, 1, 0]
v₃ = [-1, -1, 2]

Normalize the eigenvectors to form an orthogonal matrix P:

P = |  1/√3   1/√2  -1/√6 |
    |  1/√3  -1/√2  -1/√6 |
    |  1/√3    0    2/√6 |

Now, we can transform A to its canonical form using the orthogonal matrix P:

D = P^T * A * P
D = | 3  0  0 |
    | 0 -1  0 |
    | 0  0  0 |

So, the canonical form of the quadratic form is:

Q canonical = 3x'^2 - y'^2

The rank of the quadratic form is the number of non-zero eigenvalues in the diagonal matrix D. In this case, the rank is 2.

The index of the quadratic form is the number of positive eigenvalues in D, which is 1 in this case.

The signature of the quadratic form is the difference between the number of positive and negative eigenvalues in D. In this case, the signature is 1 - 1 = 0.

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Answer:

x= 4, y= -2

Step-by-step explanation:

To solve the system by substitution, start by labelling the two equations:

-4x +5y= -26 -----(1)

y= 3x -14 -----(2)

Since the second equation already has y as the subject of formula, we can substitute equation (2) into (1). This means that we can replace all the 'y's in equation (1) with 3x -4, such that equation (1) will only be in terms of x.

Substitute (2) into (1):

-4x +5(3x -14)= -26

Expand:

-4x +15x -70= -26

11x= 70 -26

11x= 44

Divide both sides by 11:

x= 44 ÷11

x= 4

Substitute x= 4 into (2):

y= 3(4) -14

y= 12 -14

y= -2

Answer:

X is 90 degrees

Step-by-step explanation:

I dont know the second part

Answer:

the number is 53611

Step-by-step explanation:

mark me brainliest hope this answer helps

The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .

In the question ,

we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,

we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .

the confidence interval are useful because ,

(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .

(ii) they make data analyses richer and help us to make more informed decisions about the research questions .

Therefore , the reason how confidence interval helps is mentioned above.

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Answer:

Step-by-step explanation:

2 subtraction symbols equals a plus

so the answer is 9

The correct matches are:

N Σ i=1 cai is equal to C.

n Σ i=1 i is equal to B.

n Σ i=1 c is equal to C.

n Σ i=1 ai is equal to C.

n Σ i=1 i^3 is equal to D.

n Σ i=1 i^2 is equal to B.

A: n Σ i=1 cai represents the summation of the product of constant c and variable ai from i=1 to n. This matches the property of C, which states that the constant c can be factored out of the summation.

B: n Σ i=1 i represents the summation of the terms i from i=1 to n, which is a common arithmetic series. This matches the property of B, which is the formula to calculate the sum of an arithmetic series.

C: n Σ i=1 c represents the summation of the constant c from i=1 to n, resulting in a total of n * c. This matches the property of D, which states that the sum of a constant repeated n times is equal to n times that constant.

D: n Σ i=1 ai represents the summation of the terms ai from i=1 to n, which is a common series. This matches the property of A, which is the formula to calculate the sum of a series involving the terms ai.

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Correct question:

Enter the correct letter to match each summation expression with the property or formula. N Σ i=1 cai is equal to . A n(n + 1)(2n + 1) 6 n Σ i=1 i is equal to . B n(n + 1) 2 n Σ i=1 c is equal to . C c n Σ i=1 ai n Σ i=1 i3 is equal to . D cn n Σ i=1 i2 is equal to

Answer:

$758 per week

Step-by-step explanation:

15.16 x 50 = 758

Answer:$758 per week

Step-by-step explanation:Answer:15.16 x 50 = 758

If the measure of angle 1 is 50° then the measure of angle 2 is 30°.

We know that line l ∥ line m and line p is the transversal.

Let's label the diagram as follows.

Now, by the vertically opposite angles theorem,

we have angle 1 = ∠TPQ = 50°

now ∠P and ∠Q form interior angles,

Hence, by the interior angles theorem, we have

∠P + ∠Q = 180°

The sum of the interior angles of the angles formed by the transversal is 180°.

50° + ∠Q = 180°

subtracting 50° on both sides we get,

∠Q = 180° - 50°

∠Q = 30°

Hence, the measure of angle 2 is 30°.

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The complete question is -

In the given figure, line l and line m are parallel and line p is transversal If the measure of 1 is 50 degrees what is the measure of 2?

The price of the set of dishes is $190.

You are getting 90% off.

$190 x 90% = $171

$190 - $171 = $19

Bryant will pay $19 for the set of dishes.

-HannahGobin

The value of α that would generate the most stable forecast is 0.10.

Exponential smoothing is a forecasting method that uses a weighted average of past observations to predict future values. The weight of each past observation decreases exponentially as it gets older. The value of the smoothing constant, α, determines how quickly the weights decay and thus how much emphasis is placed on recent observations versus past observations. A larger value of α means more weight is given to recent observations, resulting in a forecast that is more responsive to changes in the data but also more volatile. Conversely, a smaller value of α means less weight is given to recent observations, resulting in a forecast that is more stable but less responsive to changes in the data.

Therefore, in order to generate the most stable forecast, we would want to choose a smaller value of α. Among the options given, the value of α that would generate the most stable forecast is 0.10. This would give relatively less weight to recent observations and result in a smoother, less volatile forecast. However, it is important to note that the optimal value of α depends on the specific time series being forecasted and must be chosen based on empirical evaluation of the forecast accuracy.

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The z-scores for the data values 560, 690, 500, 470, and 290 are 0.6, 1.9, 0, -0.3, and -2.1, respectively.

To calculate the z-scores for the given data values, we use the formula:

z = (x - μ) / σ

where z is the z-score, x is the data value, μ is the mean, and σ is the standard deviation.

Mean (μ) = 500

Standard deviation (σ) = 100

Let's calculate the z-scores for each data value:

For x = 560:

z = (560 - 500) / 100 = 0.6

For x = 690:

z = (690 - 500) / 100 = 1.9

For x = 500:

z = (500 - 500) / 100 = 0

For x = 470:

z = (470 - 500) / 100 = -0.3

For x = 290:

z = (290 - 500) / 100 = -2.1

Therefore, the z-scores for the given data values are:

560: 0.6

690: 1.9

500: 0

470: -0.3

290: -2.1

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Complete Question:

Consider a sample with a mean of 500 and a standard deviation of 100. what are the z-scores for the following data values: 560, 690, 500, 470, and 290?

The Speed of the train in Miles per hour will be 105 miles per hour.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

A train travels at a constant speed during a portion of its cross-country route the table shows the distance the train traveled over different intervals of time at this speed.

The slope represents the speed of the train. Then we have

m = (157.5 - 131.25) / (1.50 - 1.25)

m = 26.25 / 0.25

m = 105 miles per hour

The Speed of the train in Miles per hour will be 105 miles per hour.

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Answer:

x^87

Step-by-step explanation:

Multiplying x^22 and x^7 results in x^29.

Then we have:

(x^29)^3 = x^87

Recall that (a^b)^c = a^(bc) and that a^b*a^c = a^(b + c)

13.59% of men are between 64 and 66.5 inches tall.

To solve this problem, we need to find the area under the normal distribution curve between 64 and 66.5 inches.

Using the formula for z scores

z = (x - μ) / σ

where

x is the value, μ is the mean, and

σ is the standard deviation.

For x = 64:

z = (64 - 69) / 2.5 = -2

For x = 66.5:

z = (66.5 - 69) / 2.5 = -1

Using a standard normal distribution table or calculator, we can find the area under the curve between z = -2 and z = -1, which is approximately 0.1359 or 13.59%.

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The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

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

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

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

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

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Answer:

Step-by-step explanation:

3x + 4x + x = 16

7x + x = 16

8x = 16

x = 16 : 8

x = 2

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

3 × 2 + 4 × 2 + 2 = 16  (remember PEMDAS)

6 + 8 + 2 = 16

16 = 16

same value the answer is good

Answer:

\(\mu=-4\)

Step-by-step explanation:

We know that \(\overline{PR} \perp \overline{QR}\).

Since \(\overline{PR}\) is horizontal, \(\overline{QR}\) is vertical. Therefore, \(\mu=-4\).

Answer:

5.09

Step-by-step explanation:

2x2=4-3=1+1=2  +   3+2=5-2=3

            2+3//=5.09

A data scientist samples a population by randomly selecting one of the first 100 entries in a telephone directory, as well as every 100th entry after the selected entry. this process is known as systematic sampling.

Systematic sampling is a statistical method of selecting a random sample from a larger population. In this method, a starting point is randomly selected, and then every kth item is selected after the first one. In this scenario, the data scientist is selecting the first entry and then selects every 100th entry after that. This method ensures that the sample is representative of the population and reduces bias. Additionally, it is easy to implement and efficient as it does not require a complete list of the population.

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We can use the trigonometric tangent identity, this is:

Where z = 60°

opposite side = x

adjacente side = 50ft

Then:

And the tower height is:

Answer: 93.6 ft

Answer:

I think the answer is 20

Answer: x = - 1

Step-by-step explanation:

Answer: -1

Step-by-step explanation:

Remove parentheses.

x+3=2

Then Subtract 3 from both sides

x = 2 - 3

Simplify 2 - 3 to -1

so your answer is -1

The required algebraic expression when the that  total cost is $142.05.

That is $125.80 for Watermelon that weighs 185 lbs and $16.25 for 5 lbs of tomatoes.

=>Total cost = 3.25t +.68w

Given: Tomatoes cost $3.25 per lb while watermelons cost $.68 per lb.

Let w = weights of the tomatoes and watermelons.

The algebraic expression would be:

3.25t +.68w = Total cost

For 5 pounds of tomatoes and 185 lb of watermelon:

68(185) + 3.25(5)

=$125.80 + $16.25

= $142.05

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables.

Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

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Answer: Lower Quartile: 3    Upper Quartile: 8 Median: 4

Step-by-step explanation:

I don't know if this is 100% accurate as I haven't done this in a while, but I'll try my best to help.

1. The median in the data set would count as the middle, so the median would be between all of the numbers there, which in this case is  4.

2. Since the median is 4, the other two halves are split into five, making it easier to find the other quartile, so the middle number in the area to the left is going to be 3.

3. The last area to the right is like I said before, split into 5, so between the five numbers the middle number of that area would be 8.

  Sorry for the bad explanation, and I hope this helped!