Translate each sentence to a equation

1. Six more than the quotient of a number
and 6 is -3.

2. Five more than twice a number is 27

3. Ten less than the quotient of a number and 2 is 5

The triangle, such as an angle measurement or the length of side AC, please provide it, and I will be able to assist you in calculating the area.

The area of triangle ABC, we can use the formula for the area of a triangle:

A = (1/2) × base × height.

We are given the lengths of two sides of the triangle, AB = 12 cm and BC = 10 cm.

We don't have the height or the length of the base.

To proceed, we need to obtain additional information.

Without the height or the length of the base, we cannot accurately calculate the area of the triangle.

One possible approach to find the missing information is to use trigonometry.

If we have an angle measurement within the triangle, we can apply trigonometric functions such as sine, cosine, or tangent to find the height or other missing lengths.

Alternatively, if we know the length of side AC, we can use the Pythagorean to the height.

For similar questions on triangle

https://brainly.com/question/1058720

#SPJ8

Answer: n= 5

Step-by-step explanation:

Answer:

15(6x - 1)

Step-by-step explanation:

90x – 15

15(6x - 1)      [Distributive property]

Answer:

I got 20 when calculating this

We have the table for the relative frequency below: Class Relative Frequency; Football 0.133 ; Basketball 0.267 ; Soccer 0.233 ; Baseball 0.133 ; Hockey 0.233

An array has a subscript zero for its first element. When using built-in array types, array bounds are not checked.

soccer and hockey is the correct answer because in both of these games there is a possibility of a match to be tied if both teams score equal no of goals in the given time. Both games have two halves of play,  and the team scoring more goal in the given time wins but sometimes both teams score an equal number of goals then the match is  tied

Class Frequency

Football 4

Basketball 8

Soccer 7

Baseball 4

Hockey 7

Total frequency = 4 + 8 + 7 + 4 + 7 = 30

Let's find the relative frequency.

To find the relative frequency, we have:

Relative frequency = frequency/total frequency

We have:

Football = \(\frac{4}{30}\) = 0.133

Basketball = 8/30 = 0.267

Soccer = 7/30 = 0.233

Baseball = 4/30 = 0.133

Hockey = 7/30 = 0.233

Therefore,

We have the table for the relative frequency below: Class Relative Frequency; Football 0.133 ; Basketball 0.267 ; Soccer 0.233 ; Baseball 0.133 ; Hockey 0.233

To learn more about Relative frequency problems visit :

brainly.com/question/30028876

#SPJ4

We have the table for the relative frequency below: Class Relative Frequency; Football 0.133 ; Basketball 0.267 ; Soccer 0.233 ; Baseball 0.133 ; Hockey 0.233

An array has a subscript zero for its first element. When using built-in array types, array bounds are not checked.

soccer and hockey is the correct answer because in both of these games there is a possibility of a match to be tied if both teams score equal no of goals in the given time. Both games have two halves of play,  and the team scoring more goal in the given time wins but sometimes both teams score an equal number of goals then the match is  tied

Class Frequency

Football 4

Basketball 8

Soccer 7

Baseball 4

Hockey 7

Total frequency = 4 + 8 + 7 + 4 + 7 = 30

Let's find the relative frequency.

To find the relative frequency, we have:

Relative frequency = frequency/total frequency

We have:

Football =4/30  = 0.133

Basketball = 8/30 = 0.267

Soccer = 7/30 = 0.233

Baseball = 4/30 = 0.133

Hockey = 7/30 = 0.233

Therefore,

We have the table for the relative frequency below: Class Relative Frequency; Football 0.133 ; Basketball 0.267 ; Soccer 0.233 ; Baseball 0.133 ; Hockey 0.233

To learn more about Relative frequency problems visit :

brainly.com/question/30028876

#SPJ4

The given matrix can be orthogonally diagonalized.

Find the eigenvalues: Start by finding the characteristic polynomial of the matrix by subtracting λ (the eigenvalue) from the diagonal entries and then taking the determinant of the resulting matrix. Set the determinant equal to zero and solve for λ. In this case, the characteristic polynomial is (λ-9)(λ+1)(λ-3).

Find the eigenvectors: For each eigenvalue, solve the system of equations (A-λI)x=0, where A is the given matrix, λ is the eigenvalue, and I is the identity matrix. Solve for x to obtain the eigenvectors associated with each eigenvalue. In this case, you will find three linearly independent eigenvectors.

Orthonormalize the eigenvectors: Normalize each eigenvector to have unit length, and then check for orthogonality. If necessary, adjust the vectors to ensure orthogonality. In this case, you will obtain three orthonormal eigenvectors.

Construct the diagonal matrix: Arrange the eigenvalues along the diagonal of a matrix D.

Construct the orthogonal matrix: Arrange the orthonormal eigenvectors as the columns of a matrix P.

Verify the diagonalization: Compute the product PDP^T, where P^T is the transpose of P. The result should be equal to the original matrix A, indicating successful orthogonal diagonalization.

For more questions like Matrix click the link below:

https://brainly.com/question/28180105

#SPJ11

Answer:

The probability you will get a head at least once is 50%.

Step-by-step explanation:

Since the question is asking about the probability you will get, we can assume we’re answering based on theoretical probability. This type of probability is based on logic.

A coin always has two sides, one with head and the other with tails. So we can easily represent this as half and half. 1/2 as a fraction. 0.5 as a decimal. 50% as a percent. This means that P(H) will be equal to any one of these as they are all the same. The same can be said for the probability that a head does not appear, in other words, a tail appears. The reason being that the probability is split evenly between the two. This will again mean that P(T) will equal to any one of those.

So, A = 50% and B = 50%. The probability you will get a head at least once is 50%.

The idea that group work theories are appropriate for all clients all the time is a myth (Third option).

About Group Process:

The term "group process" describes how people collaborate within an organization to complete tasks. Typically, organizations invest a lot of time and effort into defining and achieving goals, but little thought is usually given to how those goals are affecting the most valuable resource of a group - its people.

Since different clients have different demands and priorities, group work might not be suitable for many, but not for all. Different types of clients require different types of collaboration, type of group or individuals, and working strategies that work for their goals the best.

Learn more about group here:

https://brainly.com/question/6174918

#SPJ4

The volume of the box is 72 cubic feet.

We have,

To find the volume of the box, we need to multiply its length, width, and height.

Given:

Length = 4 ft

Breadth = 6 ft

Height = 3 ft

The volume of the box is:

Volume = Length x Breadth x Height

Volume = 4 ft x 6 ft x 3 ft

Volume = 72 cubic feet

Therefore,

The volume of the box is 72 cubic feet.

Learn more about the box here:

https://brainly.com/question/13527107

#SPJ1

Answer:

d. 4^9

Step-by-step explanation:

Question:

Which expression is equivalent to 4^9/4^0?

a. 4^8

b. 4^0

c. 4^7

d. 4^9

Solution:

By definition, a number raised to the 0 power equals 1, with the possible exception of 0^0 which according to some is undefined.

Any number divided by 1 equals the number itself.

For example, 2/1 = 2; 5/1 = 5; -20/2 = -20.

4^0 = 1

Since 4^0 = 1, then when you divide 4^9 by 4^0 you are dividing 4^9 by 1, so you get 4^9.

4^9/4^0 = 4^9/1 = 4^9

Answer:

6 grape

Step-by-step explanation:

Answer:

192/7 or approximately 27.429 ounces

Step-by-step explanation:

Let the amount of water added, in ounces, be \(w\). Set up the following equation:

\(\displaystyle \\\frac{64}{64+w}=0.7\)

Multiply both sides by \(64+w\):

\(\displaystyle\\64=0.7(64+w)\\64=44.8+0.7w,\\w=\frac{19.2}{0.7}=\boxed{\frac{192}{7}}\)

Answer:

2, 7, 27, 42

Step-by-step explanation:

y = 5*1 -3 =2

y = 5*2 -3 =7

y = 5*6 -3 = 27

y = 5*9 -3 = 42

Answer:

See below

Step-by-step explanation:

\(y = 5x - 3 \\ \\ \begin{vmatrix}x &\: \: \: y \\ \\ 1&\: \: \: \boxed{\red {\bold 2} } \\ \\ 2&\: \: \: \boxed{\purple {\bold 7} }\\ \\ 6&\: \: \: \boxed{ \orange {\bold {27} } } \\ \\ 9&\: \: \: \boxed{\pink{\bold {42} } } \end{vmatrix}\)

Answer:

\(\huge\boxed{\sf 6xy-3x^2}\)

Step-by-step explanation:

Given Expression:

(x + y)² - (x - y)² + 2xy - 3x²​

Formulas used:

Expand the above expression according to the formulas

\(=x^2+2xy+y^2-(x^2-2xy+y^2)+2xy-3x^2\\\\= x^2+2xy+y^2-x^2+2xy-y^2+2xy-3x^2\\\\cancel \ out \ x^2 \ and \ y^2\\\\= 2xy+2xy+2xy-3x^2\\\\= 6xy-3x^2\\\\\rule[225]{225}{2}\)

Therefore, Assuming that approximately 20% of the lake's trout population was marked, we can estimate that the lake contains approximately 250 trout.

To find the probability L(N) that 16 trout are marked in a sample of 80, we need to use the hypergeometric distribution formula. The formula is P(X=k) = [C(M,k) * C(N-M,n-k)] / C(N,n), where M is the total number of trout in the lake, N is the number of trout in the sample (80), k is the number of marked trout in the sample (16), and n is the sample size (50). Plugging in the values, we get P(X=16) = [C(M,16) * C(M-50,34)] / C(M,80). We don't know the exact value of N, but we can estimate it using the fact that 16 out of 80 trout were marked, which means that approximately 20% of the lake's trout population was marked. Therefore, we can estimate that the lake contains approximately 250 trout (i.e., 50 / 0.2). Writing the main answer in 2 lines: The probability L(N) that 16 trout are marked in a sample of 80 can be estimated using the hypergeometric distribution formula.

Therefore, Assuming that approximately 20% of the lake's trout population was marked, we can estimate that the lake contains approximately 250 trout.

To know more about probability visit :

https://brainly.com/question/13604758

#SPJ11

9514 1404 393

Answer:

  46°

Step-by-step explanation:

The angle sum theorem tells you a whole angle is the sum of its parts:

  ∠AKG = ∠AKD +∠DKG

  133° = ∠AKD +87°

  46° = ∠AKD . . . . . . . . . . subtract 87°

When the color component is kept in the center and allowed to vary, it means that the color remains the same but its intensity or brightness changes. This can result in different shades or tints of the color

When the color component is pushed to the left, kept in the center, and allowed to increase between 0 and 127.5, it implies that the color's saturation is changing. Saturation refers to the purity or vividness of the color. By increasing the saturation, the color becomes more intense and vibrant, while decreasing the saturation makes it less vivid and more towards a shade of gray.

To create black in this color model, you need to set all the color components (red, green, and blue) to their minimum values, usually 0. This absence of color results in black.

To create white, you need to set all the color components (red, green, and blue) to their maximum values, usually 255. This combination of full intensity in all colors results in white.

Learn more about center here: https://brainly.com/question/9854642

#SPJ11

Answer:

Ratios are fractions, right? Set the two fractions equal to each other and then cross-multiply them. If each side of the equation is equal, then the ratios are equal; if not, then the ratios are not equivalent.

Ex. 1

Comparing ratios 4:2 and 2:1

\(\frac{4}{2} = \frac{2}{1}\)

Cross-multiplying, we get 4 = 4, but we can also simplify each side of the equation to get 2 = 2.

Ex. 2

Comparing ratios 3:5 and 6:7

\(\frac{3}{5} =? \frac{6}{7}\)

Cross-multiply, we get 21 = 30, so the ratios are not equal. This is an example of a case where you can't simplify the ratios.

Ex. 3

Comparing rations 5:12 and 10:24

\(\frac{5}{12} = \frac{10}{24}\)

Cross-multiply, 120 = 120 so the ratios are equal.

Hope this helps!

Graph B represents the linear function.

Given that,

4 curves on 4 individual graphs are shown,
Graph that has linear function is to be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
The function in the graph A, C, and D are parabolic,  periodic, and cubic polynomial recpectively. And function in graph B shows the linear function because it is a straight line.

Thus, Graph B represents the linear function.

Learn more about function here:

brainly.com/question/21145944

#SPJ1

Answer:

Below in bold

Step-by-step explanation:

-3(8x - 2) = 9 - 21x

~Divide -3 to everything

8x - 2 = -3 + 7x

~Add 3 to both sides

8x + 1 = 7x

~Subtract 8x to both sides

1 = -x

~Divide -1 to both sides

-1 = x

Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.

Best of Luck!

Below in bold

Step-by-step explanation:

-3(8x - 2) = 9 - 21x

~Divide -3 to everything

8x - 2 = -3 + 7x

~Add 3 to both sides

8x + 1 = 7x

~Subtract 8x to both sides

1 = -x

~Divide -1 to both sides

-1 = x

Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.

Best of Luck!

Answer:

Jupiter

Step-by-step explanation:

Jupiter is 318 times as massive as earth

Jupiter mass is 300 times more bigger than earth and it has a diameter at 140,000 km

Answer:

the 1st one

Step-by-step explanation:

The decision between the two cities involves tradeoffs: the first city offers a wide range of class sizes but a smaller sample, while the second city has a larger sample but a narrower class size range.

The decision of which city to choose for the study involves tradeoffs. The first city allows for a wide range of class sizes, providing a comprehensive analysis of the relationship between class size and academic performance. However, the smaller sample size limits generalizability.



The second city offers a larger sample size, increasing generalizability, but with a narrower range of class sizes. Researchers should consider their specific research objectives, available resources, and constraints. If the goal is to assess the impact of extreme variations in class size, the first city is suitable. If obtaining highly generalizable results is paramount, the second city, despite the narrower range, should be chosen.



Therefore, The decision between the two cities involves tradeoffs: the first city offers a wide range of class sizes but a smaller sample, while the second city has a larger sample but a narrower class size range.

To learn more about range click here

brainly.com/question/17553524

#SPJ11

Answer:

7.25 each or 7.00 if rounded

Step-by-step explanation:

Step-by-step explanation:

Tim xyz. x (x+y+z) = -12 ;y (x+y+z) = 18 ;z (x+y+z) = 30

The purpose of a scale factor is to create an accurate drawing of either a very large or very small object.

A scale factor can be defined as the ratio of two (2) corresponding length of sides or diameter in two similar geometric objects (shapes) such as equilateral triangles, quadrilaterals, polygons, river, planets in our solar system, etc.

Mathematically, the scale factor of a geometric object (shape) such as a map can be calculated by using this formula:

Scale factor = Dimension of image/Dimension of original figure

Generally speaking, a scale factor is typically used in conjunction with dilation, which is a type of transformation that changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased (enlarged) or decreased (reduced) based on the scale factor that is chosen and used.

In this context, we can reasonably infer and logically deduce that the purpose of a scale factor is simply for the creation of an accurate drawing of both very small geometric object and very large geometric object.

Read more on scale factor here: brainly.com/question/2826496

#SPJ1

Answer:

i cant see the pic, its too blurry can you re-upload another ? x

Step-by-step explanation:

the next number in the sequence is -33.

To find the pattern in the given sequence, we can subtract the first number from the second, then the second from the third, and so on. This gives us the sequence: 4, -9, 16, -25, -11. The pattern here is that the differences alternate between adding and subtracting perfect squares, with a negative sign for the odd-indexed differences. Specifically, the first difference is 4, which is 2^2, then we subtract 3^2, then add 4^2, then subtract 5^2, and so on.

Using this pattern, we can predict that the next difference should be -6^2, which is -36. To find the next number in the sequence, we add this difference to the last number in the given sequence, which is -7, giving us -7 + (-36) = -43.

However, this is not one of the answer choices, so we need to look for a different pattern. One possibility is that the numbers are alternating between odd and even numbers, starting with an odd number. In this case, the next number in the sequence would be an even number. The only even number among the answer choices is -34, which is obtained by adding -16 to -18.

There are different ways to approach this problem, and the correct answer may depend on the underlying pattern that we assume. Based on the pattern of alternating squares, the next number in the sequence is -33. Based on the pattern of alternating odd and even numbers, the next number in the sequence is -34.

To know more about number visit:

https://brainly.com/question/3589540

#SPJ11

Answer: D. 6500

Step-by-step explanation:

Answer:

D. 6500

Step-by-step explanation:

3*2000=6000

1/4 of 2000 is 500

6000+500=6500