lf x= 6 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?

- The discriminant is 0.
- The discriminant is 6.
- The discriminant is positive.
- The discriminant is negative.​

Answer:

You are left with $1.44

Step-by-step explanation:

Subtract the amount of money you payed to how much the cost actually was to get your answer.

The harmonic conjugate of u(x, y) = 2x(1-y) is: v(x, y) = 2y - 2y² - x² + k, where k is an arbitrary constant.

The given function is u(x, y) = 2x(1-y)

We know that if a function u(x, y) is harmonic, it must satisfy Laplace's equation.

The Laplacian of a function u is given as:

Δu = ∂²u/∂x² + ∂²u/∂y²

Since the given function is u(x, y) = 2x(1-y), we can compute its Laplacian as follows:

∂u/∂x = 2(1-y) and ∂²u/∂x² = 0

∂u/∂y = -2x and ∂²u/∂y² = 0

Therefore, Δu = ∂²u/∂x² + ∂²u/∂y²= 0 + 0 = 0

Thus, the given function u(x, y) = 2x(1-y) is harmonic.

Since u is harmonic, we can use the Cauchy-Riemann equations to find a harmonic conjugate v(x, y).

We know that if u(x, y) and v(x, y) are harmonic functions, then f(x, y) = u(x, y) + iv(x, y) is an analytic function.

The Cauchy-Riemann equations for f are given as:

∂u/∂x = ∂v/∂y and ∂u/∂y = -∂v/∂x

We can use these equations to find v as follows:

∂v/∂y = ∂u/∂x = 2(1-y)

Integrating both sides with respect to y, we get:

v(x, y) = 2y - 2y² + C(x)

where C(x) is an arbitrary function of x.

To find C(x), we differentiate both sides of the above equation with respect to x:

∂v/∂x = C'(x)

Since ∂u/∂y = -∂v/∂x, we have:

C'(x) = -2x

Solving for C(x), we get:

C(x) = -x² + k

where k is an arbitrary constant.

Therefore, the harmonic conjugate of u(x, y) = 2x(1-y) is: v(x, y) = 2y - 2y² - x² + k, where k is an arbitrary constant.

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Given:

44, 38, 21, 37, 48, 43, 28

To find the box-and-Visker plot representing the given data:

Let us write it in ascending order.

21, 28, 37, 38, 43, 44, 48.

The median of the given data is 38.

The median of the first three terms is 28.

The median of the last three terms is 44.

The lowest of the given data is 21.

The highest of the given data is 48.

Hence, the correct option c.

Answer: i think its A

Step-by-step explanation: hope this helped

The solution to the equation 0.2(10 - 5c) = 5c - 16 is c = 3.

To solve the equation 0.2(10 - 5c) = 5c - 16, we will first distribute the 0.2 on the left side of the equation:

0.2 * 10 - 0.2 * 5c = 5c - 16

Simplifying further:

2 - 1c = 5c - 16

Next, we will group the variables on one side and the constants on the other side by adding c to both sides:

2 - 1c + c = 5c + c - 16

Simplifying:

2 = 6c - 16

To isolate the variable term, we will add 16 to both sides:

2 + 16 = 6c - 16 + 16

Simplifying:

18 = 6c

Finally, we will divide both sides by 6 to solve for c:

18/6 = 6c/6

Simplifying:

3 = c

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The correct option, for the sum of the series is

d. its sum is 1/10

To find the sum of the series Σ 1 / (n+9)(n+10), we can rewrite it as follows:

Σ 1 / (n+9)(n+10) * 1(n + 9) = Σ (1 / (n+9)) - (1 / (n+10))  * 1(n + 9)

Now, let's evaluate the terms of the series:

When n = 0:

Term 1: 1 / (0+9) = 1/9

Term 2: 1 / (0+10) = 1/10

Term 3:  1(0 + 9) = 9

Therefore, the sum of the series when n = 0 is:

(1/9 - 1/10) * 9 = 1/90 * 9

So, the sum of the series when n = 0 is 1/10.

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A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

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In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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Answer:

7

Step-by-step explanation:

42/6=7

Step-by-step explanation:

There are a total of  5+6  = 11 shares  

   1 share is 60 dollars    <=======given

5 shares = 5 x 60 = 300 dollars

6 shares =  6 x 60 = 360 dollars

Answer:

look at work below

Step-by-step explanation:

6x-5x=60

x=60

5x60=300 Anna

6x60=360 kolfl

The center of a circle represented by the equation (x−5)2+(y−6)2=42 is (5, 6).

Let us discuss here circle definition, formulas, important terms with examples in detail. A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry.

The equation of the circle can be written in standard form as follows:

(x - h)² + (y - k)² = r²,

where,

(h, k) is the center of the circle and

r is the radius.

Comparing the given equation with the standard form,

we can see that the center of the circle is at (5, 6) and the radius is √42 = 2√10.

Therefore, the center of the circle represented by the equation (x−5)2+(y−6)2=42 is (5, 6).

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Answer: I'm not sure what your options are, but a line the passes through -3,1, and is parallel to y=4, would be y=1

Step-by-step explanation:

By using the formula for mean and variance, it can be calculated that

Mean of X = 25

Variance of X = 51.67

What is mean and variance?

Suppose there is a data set. Mean gives the average of the values of the data set

Variance is the square of the sum of deviation from mean.

Let x be the total; of the numbers on the two card

Possible values of X= 15, 20, 25, 30, 35

P(X = 15) = \(\frac{2}{12}\)

P(X = 20) = \(\frac{2}{12}\)

P(X = 25) = \(\frac{4}{12}\)

P(X= 30) = \(\frac{2}{12}\)

P(X = 35) = \(\frac{2}{12}\)

Mean of X =

\(15 \times \frac{2}{12} + 20 \times \frac{2}{12} +25 \times \frac{4}{12} + 30 \times \frac{2}{12} + 35 \times \frac{2}{12}\\\\\frac{300}{12}\\\\25\)

Variance of X =

= \((225 \times \frac{2}{12} + 400 \times \frac{2}{12}+625 \times \frac{4}{12}+900 \times \frac{2}{12}+1225 \times \frac{2}{12}) - (25)^2\\\\\frac{8000}{12} - 625}\\\\666.67 - 625\\\\51.67\)

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Complete Question

In a box are four cards numbered 5, 10, 15, 20. two cards are taken out at random without replacement, and X is the total; of the numbers on the two card. Find the mean and variance of X .

Answer:

\(2\frac{1}{5}\)

Step-by-step explanation:

11 goes into 5 two times, but we are left with a remainder of 1.

So, we can say that the mixed number would be \(2\frac{1}{5}\).

Answer:

x = 55

Step-by-step explanation:

A triangle equals 180 degrees, b will be used to find the missing angle.

21 + 34 + b = 180

55 + b = 180

subtract 55 from both sides

b = 125

A straight line is 180 degrees and the b, the missing angle, and x are supplementary angles so

125 + x = 180

x = 55

Answer:

-2/1

Step-by-step explanation:

Answer:

19,4 or 4,19

Step-by-step explanation:

Let the width of the rectangle be 'w' in

According to the question length of the rectangle (l) is one inch less than five times it's width;

\( \longrightarrow \) l = (5w - 1) in

Perimeter of rectangle = 46 inches

Formula of perimeter of rectangle = 2(Length + Width)

So,

\(\rm \implies 2(Length + Width) = 46 \\ \\ \rm \implies 2(5w - 1 + w) = 46 \\ \\ \rm \implies 2(6w - 1) = 46 \\ \\ \rm \implies 6w - 1 = \dfrac{46}{2} \rm \implies 6w - 1 = 23 \\ \\ \rm \implies 6w = 23 + 1 \\ \\ \rm \implies 6w = 24 \\ \\ \rm \implies w = \dfrac{24}{6} \\ \\ \rm \implies w = 4 \: in\)

\( \therefore \) Width of the rectangle (w) = 4 in

Length of rectangle (l) = 5 × 4 - 1 = 19 in

Answer:

A

Step-by-step explanation:

the function f(x) is a straight line. The "-4" means that the graph moves down 4 units. Point A is at y=-4, so this is the point. You can graph the equation and you'll see that it hits point A.

By looking at the graph, we will see that the function is equal to -4 when evaluated in x = 1.

For the given graph, we want to find the value of x when f(x) = -4.

By doing that, we will see that the correct option is x = 1

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Answer:

3:1

Step-by-step explanation:

There are 3 birch trees and one willow tree

All of them are true.

A: Rule.

B: There exist such functions f and g that satisfy the equality.

C: According to (A) this is acceptable.

D: Rule.

Hope this helps.

Answer:

D part

Step-by-step explanation:

The Solution:

We are to name each of the polynomials based on their number of terms and degrees.

Thus, all the answers are correct as ticked in the above pictures.

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

The average distance that the airplane covered in three flights is 2036 kilometers, time in trip from Hongkong to Manila is 1.468 hours, time in trip from Singapore to Manila is 3.146 hours, time in trip from Korea to Manila is 3.422 hours.

Given the distance that an airplane covered in three different trips:

Hongkong-Manila: 1116 kilometers, Singapore-Manila: 2391 kilometers,

Korea-Manila: 2601 kilometers.

We are required to find the average distance traveled by the airplane in the three trips, the time it took in each trip if the speed of airplane is 760 km/h and the trip that took the longest time to travel.

Average distance that airplane travelled in the three trips=(1116+2391+2601)/3

=6108/3

=2036 kilometers

We know that speed=distance/time.

Time=Distance/speed

Time in trip from Hongkong to Manila=1116/760=1.468 hours

Time in trip from Singapore to Manila=2391/760=3.146 hours

Time in trip from Korea to Manila=2601/760=3.422 hours

We can observe that the trip from Korea to Manila took longest time to travel.

Hence the average distance that the airplane covered in three flights is 2036 kilometers, time in trip from Hongkong to Manila is 1.468 hours, time in trip from Singapore to Manila is 3.146 hours, time in trip from Korea to Manila is 3.422 hours and the trip from Korea to Manila took longest time to travel.

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A B C is the correct condition for the researcher to calculate the mean.

When a researcher collects a simple random sample of grade-point averages of statistics students, the sample mean can be treated as a value from a population having a normal distribution under the following conditions:

A. The researcher collects more than 30 samples.

B. If the population of statistics students has a normal distribution.

C. If the population of grade-point averages has a normal distribution.

Hence, options A, B, and C are correct. In order to estimate P(at least 5)

with n = 13 and p = 0.5, the following formula should be used:μ = np = (13)

(0.5) = 6.5σ = sqrt(npq) = sqrt(13 × 0.5 × 0.5) = 1.802P(at least 5) = P(X ≥

5.5)Using continuity correction, P(X ≥ 5.5) is equivalent to:P(Z ≥ (5.5 -

6.5)/1.802)P(Z ≥ -0.555) = 0.2918 (rounded to 4 decimal places)Therefore,

P(at least 5) = 0.2918 (rounded to 3 decimal places).Thus, the correct

choice is option A: P(at least 5) = 0.292 (rounded to 3 decimal places).

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Answer:

-12

Step-by-step explanation:

-10x+1+7x =37

-10x+7x+1 =37       (-10x+7x = -3x)

-3x+1 =37

-3x =37 -1

-3x =36

-3x / -3 = 36 / -3

x = -12    

Answer:

x = -12

Step-by-step explanation:

\( \sf - 10x+1+7x=37\)

Combine like terms.

\(\sf - 3x+1=37\)

Subtract 1 from both sides.

\(\sf - 3x=37−1\)

\(\sf - 3x=36\)

Divide both sides by -3.

\(\sf \cfrac{ - 3x}{3} = \cfrac{36}{3} \)

\(\sf x = - 12\)

ANSWER

• Weight: 5 kg

• Cost: $30

EXPLANATION

Let x be the weight of the package and y be the cost. For the first courier, we have that the cost is,

And for the second courier,

Justine determined that the two have the same cost, so we have to solve the system above. Using the elimination method, subtract the first equation from the second,

Add 10 to both sides of the equation,

And divide both sides by 2,

Hence, the weight of the package is 5 kilograms.

To find the cost, replace x with 5 in any of the two equations,

The cost is $30.

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5