If your car gets 31 miles per gallon, how much does it cost to drive 440 miles when gasoline costs $3.40 per gallon?

Answer:

Step-by-step explanation:

      The expanded value of n! is (n) * (n - 1) * (n - 2) until we reach one.

      Given:

4! - ((11-2)!) / 8!)

      Rewrite:

\(\displaystyle 4! - \frac{(11-2)!}{8!}\)

      Subtract:

\(\displaystyle 4! - \frac{9!}{8!}\)

      Expand:

\(\displaystyle 4*3*2*1 - \frac{9*8*7*6*5*4*3*2*1}{8*7*6*5*4*3*2*1}\)

      Cancel out values that equal one in the fraction:

\(\displaystyle 4*3*2*1 - \frac{9}{1}\)

      Multiply:

\(\displaystyle 24 - \frac{9}{1}\)

      Simplify:

24 - 9

      Subtract:

15

Answer:

x=6

Step-by-step explanation:

5x-12=3x

2x=12

x=6

The cost for sending the parcel with each company is £72 via WeGoFast and £80 by ParcelsFly.

In product, exploration, retail, and account, a cost is the value of plutocrat that has been used up to produce commodity or deliver a service, and hence isn't available for use presently. In business, the cost may be one of accession.

Hector needs the parcel to be send.

Dimension for his cuboid parcel is given by 10 cm by 10 cm by 40 cm.

10cm x 10cm x 40cm

Sum of the three dimension in cm

= (10 + 10 + 40) cm

= 60 cm.

Volume of the parcel in  = (10 × 10 × 40)  = 4000 cm³

Price charge by WeGoFast

= Sum of the three dimensions in cm × £1.20

= £ (60 × 1.20) = £72.

Price charged by ParcelsFly

= Volume measured in  × £0.02

= £ (4000 × 0.02) = £80

Therefore, The cost of sending the parcel with each company is £72 by WeGoFast and £80 by ParcelsFly.

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Answer:

x = 1

Step-by-step explanation:

When there is an equation in absolute form like this |3x - 2| that means that there are no negative numbers or subtraction signs. Instead, such things are reversed, so the simplified equation is

3x + 2 = 5

So then we proceed as normal

3(1) + 2 = 5

3 + 2 = 5

5 = 5

Answer:

62.92

Step-by-step explanation:

Answer:

the length of the gym will be 80 feet

Step-by-step explanation:

Answer:

A: irrational

B: whole number

C: rational

D: irrational

E: natural

F: irrational

G: integer

H: irrational

I: rational

J: irrational

K: rational

Answer: C

Step-by-step explanation:

A line which is the line of best fit for this scatter plot is option C as shown in the image attached below.

A line of best fit is also known as trend line and it can be defined as a statistical tool that is typically used in conjunction with a scatter plot, so as to determine whether or not there's any form of correlation between a given data.

In this scenario, a line which is the line of best fit for this scatter plot is the third graph (C) because it is close (touches) to most points, as shown in the image attached below.

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Answer: Airline P since the median is lower and the SDR is lower

Step-by-step explanation:

Answer:

x y

1 2

2 2

3 2

4 2

5 2

To write the equation y = -2x + 6 as a table, we need to substitute different values of x into the equation and solve for y. Here is an example of a table with some values of x and the corresponding values of y:

x y

1 4

2 2

3 0

4 -2

5 -4

Step-by-step explanation:

In a random sample of 20 single servings of Alpha-bits, the average sugar content was found to be 11.3 grams, with a standard deviation of 2.45 grams. Assuming that the sugar contents are normally distributed, a 95% confidence interval for the mean sugar content for single servings of Alpha-bits can be constructed. The interval would be 10.00 to 12.60 grams.

To construct a 95% confidence interval for the mean sugar content of single servings of Alpha-Bits, we will use the sample average, standard deviation, and sample size given in the problem.

1. Identify the given values:
- Sample average (mean) = 11.3 grams
- Standard deviation = 2.45 grams
- Sample size (n) = 20

2. Determine the standard error:
Standard error (SE) = standard deviation / √n
SE = 2.45 / √20 ≈ 0.547

3. Find the critical value (z-score) for a 95% confidence interval:
For a 95% confidence interval, the z-score is approximately 1.96.

4. Calculate the margin of error:
The margin of error = z-score * standard error
Margin of error = 1.96 * 0.547 ≈ 1.072

5. Construct the confidence interval:
Lower limit = sample average - margin of error
Lower limit = 11.3 - 1.072 ≈ 10.228

Upper limit = sample average + margin of error
Upper limit = 11.3 + 1.072 ≈ 12.372

Therefore, the 95% confidence interval for the mean sugar content of single servings of Alpha-Bits is approximately (10.228 grams, 12.372 grams). This means that we can be 95% confident that the true average sugar content for single servings of Alpha-Bits lies within this range.

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Answer:

1. Axis of Symmetry: x=-4, Vertex: (-4, -6)

2. Axis of Symmetry: x=2, Vertex: (2, 8)

Step-by-step explanation:

Answer:

A is a solution because it is in the shaded area.

Step-by-step explanation:

Answer:

6.75 miles per half hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in  1/2 hour?

in 2 hours there are 4 half hours

27 : 4 = 6.75 miles

Answer: 2 miles per hour

Step-by-step explanation:

The expected standard deviation of stock A's returns, based on the information presented in the table, is approximately 23.57%.

To calculate the expected standard deviation of stock A's returns, we first need to calculate the variance. The variance is the average of the squared deviations from the expected return, weighted by the probabilities of each outcome.

Given the information provided:

Outcome Probability Stock A Return

Good 16% 65.00%

Medium 51% 17.00%

Let's calculate the expected return first:

Expected Return = (Probability of Good × Stock A Return in Good) + (Probability of Medium × Stock A Return in Medium)

= (0.16 × 65.00%) + (0.51 × 17.00%)

= 10.40% + 8.67%

= 19.07%

Next, we calculate the squared deviations from the expected return for each outcome:

Deviation from Expected Return in Good = Stock A Return in Good - Expected Return

= 65.00% - 19.07%

= 45.93%

Deviation from Expected Return in Medium = Stock A Return in Medium - Expected Return

= 17.00% - 19.07%

= -2.07%

Now, we calculate the variance:

Variance = (Probability of Good × Squared Deviation in Good) + (Probability of Medium × Squared Deviation in Medium)

= (0.16 × (45.93%^2)) + (0.51 × (-2.07%^2))

= (0.16 × 0.2110) + (0.51 × 0.0428)

= 0.0338 + 0.0218

= 0.0556

Finally, we calculate the standard deviation, which is the square root of the variance:

Standard Deviation = √Variance

= √0.0556

= 0.2357 or approximately 23.57%

Therefore, the expected standard deviation of stock A's returns, based on the information presented in the table, is approximately 23.57%.

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To find the eigenvectors and eigenvalues of matrix A, we first need to solve for the characteristic equation:

det(A - liI) = 0, where I is the identity matrix.

For matrix A, we have:

det(A - liI) = det([1-li 0; 0 1-li][1 0; 0 1]) - det([0 -1; 0 1-li][1 0; 0 1])
det(A - liI) = (1-li)(1-li) - 0 = (1-li)^2 = 0
Solving for li, we get li = 1.

So, the eigenvalue of A is 11 = 1.

To find the eigenvector V1 corresponding to li, we need to solve for (A - liI)V1 = 0:

([1 0; 0 1] - [1 0; 0 1])[x y] = [0 0]
[0 0][x y] = [0 0]

This gives us the equation x = 0 and y = 0. So, the eigenvector V1 corresponding to li = 1 is [0 0].

Now, to find the second eigenvector V2 corresponding to li = 1, we need to solve for (A - liI)V2 = 0 such that V2 is linearly independent from V1:

([1 0; 0 1] - [1 0; 0 1])[x y] = [0 0]
[0 -1][x y] = [0 0]

This gives us the equation -y = 0, which implies y = 0. So, the eigenvector V2 corresponding to li = 1 is [1 0].

To check that these eigenvectors are indeed linearly independent, we can form a matrix P by placing V1 and V2 as its columns:

P = [0 1; 0 0]

Taking the determinant of P, we get det(P) = 0, which implies that V1 and V2 are linearly independent.

Therefore, the eigenvectors V1 and V2 corresponding to the eigenvalue li = 1 are [0 0] and [1 0], respectively.

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The point-normal form of a plane equation: (Fx(x0, y0, z0))(x - x0) + (Fy(x0, y0, z0))(y - y0) + (Fz(x0, y0, z0))(z - z0) = 0.

To find the equation of the tangent plane to a surface at a given point, follow these steps:

Step 1: Determine the function that describes the surface in the form F(x, y, z) = 0.

Step 2: Find the partial derivative of F with respect to x, denoted as Fx.

Step 3: Find the partial derivative of F with respect to y, denoted as Fy.

Step 4: Find the partial derivative of F with respect to z, denoted as Fz.

Step 5: Evaluate Fx, Fy, and Fz at the given point (x0, y0, z0).

Step 6: Use the gradient vector, which consists of the evaluated partial derivatives (Fx(x0, y0, z0), Fy(x0, y0, z0), Fz(x0, y0, z0)), as the normal vector to the tangent plane.

Step 7: Use the point-normal form of a plane equation: (Fx(x0, y0, z0))(x - x0) + (Fy(x0, y0, z0))(y - y0) + (Fz(x0, y0, z0))(z - z0) = 0. This is the equation of the tangent plane at the given point.

By following these steps, you will find the equation of the tangent plane to the surface at the specified point.

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Answer:

The sum of an even number plus an odd number is odd.

Step-by-step explanation:

The sum of an even number and an odd number is odd.

For example:

2+3=5

11+10=21

51+32=83

The end digit of an even number is always 0, 2, 4, 6, or 8

The end digit of an odd number is 1, 3, 5, 7, or 9.

So if we add only the end digit of an even and an odd number we can find no combination that can give end digit 0, 2, 4, 6, or 8(i.e even).

Hence, the sum of an even number plus an odd number is odd.

The correct option regarding the probabilities of the two events when they are independent are given by:

C. The probability of getting a red convertible is 0.10.

If two events, A and B, are independent, the probability of both events happening is the multiplication of the separate probabilities of each event happening, that is.

P(A and B) = P(A) x P(B).

For this problem, the separate probabilities are given by:

Then, for them to be independent, we need that:

P(A and B) = 0.25 x 0.40 = 0.10.

A and B means a red convertible car, hence the correct option is:

C. The probability of getting a red convertible is 0.10.

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Answer:

Step-by-step explanation:

x^4+13^x^2+36=4x^3+36

4x+26x+36=4x^3+36

30x+36=12x+36

30x=12x

so,x=1

9514 1404 393

Answer:

  18

Step-by-step explanation:

90 = 18·5

126 = 18·7

180 = 18·10

990 = 18·55

The greatest common factor of these numbers is 18.

__

Comment on the GCF

It can be useful to know Euclid's algorithm for finding the GCF:

For example, 126 mod 90 = 36; 90 mod 36 = 18; 36 mod 18 = 0, so 18 is the GCF of 126 and 90. (The modulo function 'mod' returns the remainder from division.)

The coordinate of the point that represents the number of pens that Keisha buys and the total cost is (2, 4)

The given parameters are

Number of pen = 2

Unit price = $2

This means that the total amount spent is

Total amount = Number of pen * Unit price

Evaluate the product

Total amount = 2 * 2

Evaluate the product

Total amount = 4

So, the coordinate of the point that represents the number of pens that Keisha buys and the total cost is (2, 4)

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The probability of drawing a card that is more than 6 is given as 1 / 2.

The term probability can be defined as the concept in mathematics that has to do with the likelihood that an event is going to have to occur.

In the picture we have values that are numbered from 1 to 12 in the face of all of the cards.

The cards that are greater than 6 here are: [7, 8, 8, 10, 11, 12] = 6

The total numbers in the card are: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12] = 12

Hence the probability of card that is more than 6 = 6 / 12

= 1/2

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Answer:

x ≈ 17.67 cm

Step-by-step explanation:

Pythagorean Theorem : a² + b² = c²

x = c

c = \(\sqrt{16^2 + 7.5^2}\)

c = \(\sqrt{256 + 56.25}\)

c = \(\sqrt{312.25\)

c ≈ 17.67

-Chetan K

Answer:

Step-by-step explanation:

Answer:

Today: Thursday, 05 November 2020

Hour: 13.59 WIB (Indonesia)

_______________________________

Answer:

check the explanation

Step-by-step explanation:

1. To find the sum of two integers with like signs simply add them and keep the sign same as integers

for example:

\(2 + 3 = 5 \\ - 2 + ( - 3) = - 5\)

2. To find the sum of the integers with unlike signs just subtract them and then keep the sign of the bigger integer.

For example:

\( - 3 + 5 = 2 \\ - 5 + 3 = - 2\)

To send Kred to a Krew member, you can follow the steps provided by the Kred platform. These steps typically involve accessing your Kred account, selecting the desired recipient, specifying the amount of Kred to send, and confirming the transaction.

Sending Kred to a Krew member usually requires using the features and functionalities provided by the specific Kred platform or service. The process may vary depending on the platform, so it is recommended to refer to the official documentation or guidelines provided by the platform. Typically, you would need to log in to your Kred account, navigate to the appropriate section for sending Kred, select the intended recipient from the list of Krew members, enter the desired amount of Kred to send, review the transaction details, and confirm the transfer. The platform may also offer additional options or settings for customizing the transfer process.

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The least common denominator (LCD) of the rational expressions is (x+1)(x-1).

When adding or subtracting rational expressions, we need to find a common denominator. The least common denominator (LCD) is the smallest multiple of the denominators of the rational expressions.

To find the LCD, we follow these steps:

Let's consider an example to illustrate this process:

Example:

Find the LCD of the rational expressions:

x/(x+1) and 1/(x-1)

Step 1: Factor the denominators:

x+1 and x-1

Step 2: Identify the common factors:

There are no common factors in this case.

Step 3: Take the product of the highest powers of each common factor:

Since there are no common factors, we skip this step.

Step 4: Include any unique factors:

The unique factors are x+1 and x-1.

Step 5: Simplify the resulting expression:

The LCD is (x+1)(x-1).

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The least common denominator of the rational expressions in this problem is given as follows:

4x(x + 5).

The rational expressions for this problem are defined as follows:

9/(4x + 20), 10/(x² + 5x).

The denominators are given as follows:

The denominators can be simplified as follows:

The least common denominator is the multiplication of the unique factors, hence it is given as follows:

4x(x + 5).

The expression that completes this problem is given as follows:

9/(4x + 20), 10/(x² + 5x).

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