Solve the inequality.
-x - 14 > 6x + 8 + 4x

Answer:

6 girls - 3 boys

Step-by-step explanation:

Answer:

6girls - 3 boys

Step-by-step explanation:

4 girls + 2 girls =6 girls

you cant mix girls and boys so you still have 3 boys

Using translation concepts, it is found that the location of the treasure could be given by these following points:

A. point (1, 4) or point (-2, 1)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

We consider that he is at point (-2,4), hence:

Hence option A is correct.

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Answer:

2nd quadrant

Step-by-step explanation:

Answer:

x = 27 and m<A = 49 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees

3x-17+x+40+2x-5 = 180

6x + 18 = 180

6x = 162

x = 27

<A = 2x - 5

< A = 2(27) - 5

<A = 49 degrees

Answer:

$63.90

Step-by-step explanation:

cost = $639

markup = 10%

cost * markup = $63.90

Answer: 4 sets of 2 positive tiles.

Step-by-step explanation:

We have the product of 4 and 2.

We can represent this as:

4 is equivalent to 4 positive tiles.

if we multiplicate it by 2, then we must have 2 sets of 4 positive tiles.

Another example is using 2 positive tiles to represent the 2.

So when we multiply it by 4, we end with 4 sets of 2 positive tiles.

This is because the order of the factors does not change the product.

Then, from the given options, the correct one is:

4 sets of 2 positive tiles.

Answer:

C on edge 2021

Explanation:

4 groups of 2

[+] [+]    [+] [+]    [+] [+]    [+] [+]    

The matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).

\(\textbf{To find the matrix of } t \textbf{ relative to the basis } b', \textbf{we have to follow some steps. The steps are described below:}\)

First, we have to find the images of basis vectors under the transformation \(t\). \(t(-1,1) = (-9,7)\) and \(t(1,-5) = (-37,43)\).

Represent the image vectors of the basis in the standard basis. We use these vectors as columns in the matrix of \(t\) in the basis \(b'\).

\((-9,7) = -9(1,0) + 7(0,1) = (-9,7) = -9(-1,1) + 7(1,-5)\)

\((-37,43) = -37(1,0) + 43(0,1) = (-37,43) = -37(-1,1) + 43(1,-5)\)

Hence, we can write the following equation: \(A[x]_{b'} = [x]_S\)

Where \(A[x]_{b'}\) is the main answer in the form of a matrix, and \([x]_S\) is the coordinate of \([x]_{b'}\) with respect to the standard basis.

Now, we will write the equations with the coordinates of the basis vectors of \(b'\).

\(A[1,0] = [-9, -37]\) and \(A[0,1] = [7, 43]\)

Now we will write the matrix of \(A\) as follows:

\(A = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\)

Thus, the matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).

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The value of the expression will be:

9. 5(n + 5) = 5n + 25

10. -9(10 - 6r) = -90 + 54r

11. -6(m + 6) = -6m - 36

12. 3(4 - 6m) = 12 - 18m

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

The value of the expression will be:

9. 5(n + 5)

= (5 * n) + (5 × 5)

= 5n + 25

10. -9(10 - 6r)

= -90 -+ 54r

= -90 + 54r

11. -6(m + 6)

= -6m - 36

12. 3(4 - 6m)

= 12 - 18m

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Answer:

4. E=4x-15(vertically opposite)

F=E(corresponding angles)

E=4x-15

5.3x+6x+O=180(angles on a straight line)

9x+0=180

9x=180-0

9x/9=180/9

x=20

Given:

The geometric sequence is

To find the common ratio,

Hence the common ratio, r is 14/35.

It is possible to add another data point that would be reasonable, even though no measurements were made. This data point could be an estimate or a prediction based on the existing data points. For example, if the existing data points show a linear relationship between acceleration and force, it would be reasonable to add a data point that falls along the same line.

One possible data point that could be added is (3m/s2, 4n). This data point falls between the existing data points (2m/s2, 3n) and (5m/s2, 5n), and would be a reasonable estimate based on the existing data.

Another possible data point that could be added is (7m/s2, 6n). This data point falls along the same line as the existing data points, and would be a reasonable prediction based on the existing data.

Overall, it is possible to add another data point that would be reasonable, even though no measurements were made, as long as the data point is based on the existing data and follows the same pattern or relationship.

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Answer:

Step-by-step explanation:

A) The dealer bought Birr 8000 at 7% tax.

Total amount to be paid = cost price (1 + r%)

r = 7% = 0.07

Total amount to be paid \(= 8000 \times 1.07 =\texttt {Birr} \ \ {8,560}\)

B) To find the VAT, it is the difference between the tax paid when the good was bought and the tax put on it after it was sold.

Tax paid when the shoes were bought = 7% of cost price

\(= 7 \% \times 8,000 = \texttt {Birr} \ 560\)

Tax paid when the shoes were sold = 9% of selling price

\(= 9 \% \times 12,000 = \texttt {Birr} \ 1,080\)

VAT = tax recovered on sale - Tax paid on purchase

\(\texttt {VAT} = 1080 - 560 = \texttt {Birr}\ 520\)

Answer: \(\Large\boxed{f(x-1)=x}\)

Step-by-step explanation:

Given function

f(x + 1) = x + 2

Isolate [ x + 1 ] on the right-hand side

f(x + 1) = x + 1 + 1

f(x + 1) = (x + 1) + 1

Substitute [ x + 1 ] with x

f(x) = x + 1

Substitute [ x ] with [ x - 1 ]

f(x - 1) = (x - 1) + 1

\(\Large\boxed{f(x-1)=x}\)

Hope this helps!! :)

Please let me know if you have any questions

Using Law of sines:

Area = 1/2 ab sin C

Replacing:

Area = 1/2 √57 (8.9) sin (7pi/12)

Area = 32.5 units2

The given variables, whether they are qualitative or quantitative and whether they are discrete or continuous, are listed: 1. Height of students in a particular STAT class: Quantitative - Continuous

2. Days absent from school: Quantitative - Discrete3. Monthly phone bills: Quantitative - Continuous4.

Postal Zip code: Qualitative - Nominal5.

House number in a particular subdivision: Qualitative - Nominal6. Movie genre: Qualitative - Nominal7. Daily intake of proteins: Quantitative - Continuous8.

Yearly expenditures of 20 families: Quantitative - Continuous9.

Election votes: Quantitative - Discrete 10.

Academic rank of students: Qualitative - OrdinalHence, the given variables are classified as the above.

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Answer:

50 km per hour

Step-by-step explanation:

Average speed = Distance travelled / Time taken

= 200 / 4

= 50

Therefore, average speed is 50 km per hour.

\( \huge \bold \green{question}\)

Jose’s car covers 200 kilometers in 4 hours. What is the average speed?

\( \huge \bold \red{solution}\)

Average speed = Distance travelled / Time taken

= 200km / 4 hours

= 50 km/h

\( \huge \bold \blue{answer}\)

50 km/h is the average speed of Jose's car.

The probability that a claim amount is less than or equal to 4, given that it follows a gamma distribution with a mean of 6 and variance of 12, can be calculated using the cumulative distribution function (CDF) of the gamma distribution.

The gamma distribution is a continuous probability distribution with two parameters: shape parameter (k) and scale parameter (θ). In this case, we are given the mean and variance of the gamma distribution, which can be related to the shape and scale parameters as follows:

Mean (μ) = kθ

Variance (σ²) = kθ²

From the given information, we have μ = 6 and σ² = 12. To find the parameters k and θ, we solve the above equations simultaneously:

6 = kθ

12 = kθ²

Dividing the second equation by the first equation, we get:

2 = θ

Substituting this value back into the first equation, we find:

6 = k * 2

k = 3

So, the parameters for the gamma distribution are k = 3 and θ = 2.

Now, we can use the CDF of the gamma distribution to calculate the probability that a claim amount is less than or equal to 4:

P(x ≤ 4) = CDF(4; k, θ)

By evaluating this expression using the values of k and θ we obtained, we can find the desired probability.

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Answer:

yellow

Step-by-step explanation:

purple could be it too but its yellow

Answer:

Mean: 8.29

Median: 10

Step-by-step explanation:

The Answer: 60 ÷ 5 = T

The given fraction and decimals have been plotted on a number line as shown in the image attached below.

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which is composed of both positive and negative numbers that are placed at equal intervals along its length.

Additionally, a number line typically decreases in numerical value towards the left from zero (0) and increases in numerical value towards the right from zero (0).

In order to place the given numbers on a number line, we would convert the fraction into a decimal number as follows:

1/3 = 0.3

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Answer:

1 3/4, 2 3/4

Step-by-step explanation:

is the answer

15 and 5 over 7 square inches. So, correct option is D.

To find the amount of paper needed to wrap each mini muffin, we need to find the surface area of the cylinder and then multiply it by 6. The surface area of a cylinder is given by the formula: 2πr(h + r), where r is the radius and h is the height.

First, we need to find the radius:

r = 2 / 2 = 1 inch

A = 2πr(h + r) = 2π * 1 * (1.5 + 1) = 2π * 2.5 = 5π inches²

Since pi is approximately 22/7, we can substitute that value in:

A = 2 * 22/7 * 2.5 = 5 * 22/7 inches² = 11 inches²

And finally, multiply by 6 to find the total surface area for 6 mini muffins:

A = 6 * 11 = 66 square inches

So, the amount of paper needed to wrap 6 mini muffins is 66 square inches. To express it as a mixed number with a fraction, we can divide by 7:

66 / 7 = 9 with a remainder of 4

So, the answer is:

15 and 5 over 7 square inches

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Answer:

15 over 7

Step-by-step explanation:

7 is a digit and has no face value.  A number is made up of digits and has a face value, which is the numerical value of a digit in a number. However, 7 is just a digit and has no face value.

7 is a digit and not a number. A number is made up of digits and has a face value, which is the numerical value of a digit in a number. However, 7 is just a digit and has no face value.

7 is a digit and not a number. A number is made up of digits and each digit has a face value, which is the numerical value of a digit in a number. Digits are the building blocks of a number and, without them, a number would not exist. When combining different digits together, the face value of each digit changes based on its position in the number, with the face value of the first digit being the most significant. However, 7 is just a digit on its own and does not have any face value. It is only when 7 is combined with other digits that it takes on a face value, which is determined by its position in the number. Therefore, 7 is a digit and has no face value.

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For each odd natural number n greater than or equal to 3, the expression (1 + 1/2) (1 - 1/3) (1 + 1/4) ... (1 + (-1)^n/n) evaluates to 1.

Let's analyze the given expression. We have a product of terms, each of the form (1 + (-1)^k/k), where k varies from 2 to n. Notice that when k is even, the term becomes (1 + 1/k), and when k is odd, the term becomes (1 - 1/k).

Considering the first few terms, we have (1 + 1/2) (1 - 1/3) (1 + 1/4) (1 - 1/5) ... (1 + (-1)^(n-1)/(n-1)) (1 - 1/n). We can pair the terms that follow this pattern: (1 + 1/2) and (1 - 1/3) form 1, (1 + 1/4) and (1 - 1/5) form 1, and so on.

Each pair of terms cancels each other out, resulting in a product of 1. Since there are (n-1)/2 pairs in total for odd n, the overall product is 1^(n-1)/2 = 1. Thus, the expression evaluates to 1 for each odd natural number n greater than or equal to 3.

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By using linear approximation formula the estimation g(1.99) and g(2.01) of  g(2) - 5 and g'(x) = Vx^2 + 5 are 4.91 and 5.09, respectively.

We can use the linear approximation formula, which is:

L(x) = f(a) + f'(a)(x-a)

Where L(x) is the linear approximation of f(x) at a,

f(a) is the value of f(x) at a, f'(a) is the derivative of f(x) at a, and x is the value we want to approximate.

In this case, we want to approximate g(1.99) and g(2.01) using the information given.

We know that g(2) = 5, so we can use a = 2 in the formula above.

We also know that g'(x) = Vx^2 + 5 for all x, so g'(2) = V(2)^2 + 5 = 9.

Therefore, we have:
L(1.99) = g(2) + g'(2)(1.99-2) = 5 + 9(-0.01) = 4.91
L(2.01) = g(2) + g'(2)(2.01-2) = 5 + 9(0.01) = 5.09

So the estimated values of g(1.99) and g(2.01) using linear approximation are 4.91 and 5.09, respectively, rounded to two decimal places.

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The angle 1 can be named as follows:

∠RST

∠TSR

∠S

There are various ways to name an angles. You can name an angle by its vertex, by the three points of the angle (the middle point must be the vertex), or by a letter or number written within the opening of the angle.

Therefore, let's name the angle 1 indicated on the diagram as follows:

Hence, the different ways to name the angle 1 is as follows:

∠RST or ∠TSR

Or

∠S

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