10 yd
5 yd
7 yd
2 yd
Perimeter:
Area:

Answer:

a. subtract 5x to both sides

Step-by-step explanation:

In order to solve for a variable, you have to isolate it. Since, we are solving for y, the first thing we need to do is put 3y alone on one side of the equation.

Because 5x is being added to 3y, we can undo this by subtracting 5x from both sides.

If A is a symmetric matrix, then A³ is also a symmetric matrix.

To prove this, we can use the definition of a symmetric matrix, which is a matrix that is equal to its transpose. In other words, if A is a symmetric matrix, then A = A^T.

Now, let's look at A³:

A³ = A * A * A

We can replace each A with A^T, since they are equal:

A³ = A^T * A^T * A^T

Now, we can use the property that the transpose of a product of matrices is equal to the product of their transposes in reverse order:

A³ = (A^T * A^T * A^T)^T

A³ = (A^T)^T * (A^T)^T * (A^T)^T

Since the transpose of a transpose is the original matrix, we can simplify:

A³ = A * A * A

Therefore, A³ is also a symmetric matrix.

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We can determine coordinates if point t is between points u and v by checking if u < t < v or v < t < u.

To determine if point t is between points u and v, we need to compare their coordinates. If u < v, then point t is between points u and v if and only if u < t < v. On the other hand, if v < u, then point t is between points u and v if and only if v < t < u.

Whether or not point t is between points u and v depends on the relationship between the coordinates of u and v. If u < v, t must fall between them, and if v < u, t must also fall between them.

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If Rn has a basis of eigenvectors of A, then A is diagonalizable.

This statement is true.

If A is diagonalizable, then A is invertible.

This statement is false.

What is diagonalizable matrix?

If there is an invertible matrix P and a diagonal matrix D such that P^-1AP=D, or alternatively A=PDP^-1, then the square matrix A is said to be diagonalizable or non-defective in linear algebra.

If Rn has a basis of eigenvectors of A, then A is diagonalizable.

This statement is true.

In this case we can construct an invertible matrix P.

If A is diagonalizable, then A is invertible.

This statement is false.

It’s invertible if it doesn’t have a zero as eigen value but this doesn’t affect diagonalizabilty.

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Answer: oke we give y=a*x

Step-by-step explanation:a=\(\frac{1}{6}\)

\(\frac{y}{108}\)=\(\frac{1}{6}\)

=>y =18

Answer:

p(8p + 7)

Step-by-step explanation:

8p² + 7p

p(8p + 7)

Answer:

x = 6, x = 3

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent, that is

BC = EF , so

15x - 6 = 10x + 24 ( subtract 10x from both sides )

5x - 6 = 24 ( add 6 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

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

Since the figures are congruent then corresponding sides are congruent, that is

ED = LK , so

20x + 9 = 11x + 36 ( subtract 11x from both sides )

9x + 9 = 36 ( subtract 9 from both sides )

9x = 27 ( divide both sides by 9 )

x = 3

The percentage of students who failed the second test given that they passed the first test is 55%.

Let's assume that there are 100 students in the class for simplicity.

Given that 45% of the students passed the first test, we have 45 students who passed the first test.

Out of the 45 students who passed the first test, 25% also passed the second test. This means that 25% of 45, which is (25/100) * 45 = 11.25 students, passed both tests.

Therefore, out of the 45 students who passed the first test, 11.25 students passed both tests. To find the percentage of students who failed the second test given that they passed the first test, we subtract the students who passed both tests from the total number of students who passed the first test.

45 - 11.25 = 33.75 students

Now, we need to find the percentage of 33.75 students out of the total number of students who passed the first test.

Percentage = (33.75 / 45) * 100 = 75%

So, the percentage of students who failed the second test given that they passed the first test is 75%.

Note: The assumption made here is for simplicity and the actual number of students may differ, but the percentage calculation remains the same.

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The scale factor after one year of depreciation is 0.92.(option-c)

The depreciation rate of 8% per year means that the car loses 8% of its value each year. To find the scale factor, we need to determine how much of the original value remains after one year of depreciation.

If the car loses 8% of its value each year, then the remaining value after one year is:

100% - 8% = 92% of the original value

We can express this as a decimal by dividing 92% by 100%, which gives:

92%/100% = 0.92

This means that the value of the car is 0.92 times its original value after one year of depreciation.

We can also check our answer by calculating the value of the car after one year:

Value after one year = 0.92 * $15,000 = $13,800

This is the expected value of the car after one year of depreciation, which confirms that our scale factor of 0.92 is correct.

Therefore, the answer is (C) .

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Answer:

2 and 5 hundredths

Step-by-step explanation:

3 - 1 = 2

14 hundredths - 9 hundredths = 5 hundredths

hence you get 2 and 5 hundredths

Given that there is only one digit left and the sum is more than 10, the third digit must be 7, which it is. and the pass code to open anything it is guarding is 5 5 7, which may be inputted.

To decode the code, we know that the number is more than 10 and has three digits: . Moreover, we are aware that the value of the ones digit is 10 times that of the tenths digit. The code is 5 5 7, as may be inferred from the provided hints.

Given that the code contains two 5s, the first digit must be 5. As the value of the ones digit is 10 times that of the tenths number, the second digit must likewise be 5, which is 5. The number is bigger than 10, hence the third digit must be 7, as it is the only one still present.

In order to open whatever it is guarding, the code, which is 5 5 7, may be input.

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Answer:

$137.33

Step-by-step explanation:

$115.78 + $15.00 = $130.78

$130.78 + $7.50 = $138.28

$138.28 - $35.90 = $102.33

$102.33 + $20.00 = $122.33

$122.33 + $15.00 = $137.33

Chow,...!

Answer: The expression 8-(6r+2) is equivalent to 8-6r-2.

When you subtract 6r + 2 from 8, you first subtract 2 from 8, which gives you 6. Then you subtract 6r from 6, which gives you 8-6r.

So 8-(6r+2) = 8-6r-2 = 8-6r

Step-by-step explanation:

Answer:

I quite dont get the question do u mind putting something thats explains what u want

Step-by-step explanation:

Answer:

0

(I'm sorry if this is wrong.)

a. The substitution effect causes an increase of 10 units of good x due to the price change.   b. The income effect causes an increase of 10 units of good x due to the doubling of real income.



a. To calculate the substitution effect, we need to hold the utility constant. Since the price of good x decreased to $0.5, we can consider the new price ratio as 0.5:1 (x:y). Initially, with a budget of $10, we could purchase 10 units of good y. With the new price ratio, the consumer can buy 20 units of x for the same $10 budget. Therefore, the substitution effect leads to an increase of 20 - 10 = 10 units of x.

b. To calculate the income effect, we need to consider the change in real income caused by the price change. With the price of x decreasing to $0.5 and the consumer's disposable income remaining the same, the consumer's real income doubles. Since the utility function has an income elasticity of 1 for good x (as it appears in the utility function linearly), the consumer will allocate the same proportion of income to good x. Therefore, with the doubled real income, the consumer will purchase twice as much of good x.

Thus, the income effect leads to an increase of 10 units of x.

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Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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Answer:

3 tulips/1 rose

Step-by-step explanation:

Answer:

120 to 40

30 to 10

120 divided by 4= 30

40 divided by 4 = 10

Step-by-step explanation:

Answer:

angle b is 61 angle c is 58

Step-by-step explanation:

The period interest rate for an account billed monthly with an APR of 18.991% is approximately 1.58%.

To determine the periodic interest rate for an account billed monthly, we need to convert the Annual Percentage Rate (APR) to a monthly rate.

To do this, we divide the APR by the number of compounding periods in a year. Since the account is billed monthly, the compounding period is also monthly. Therefore, we divide the APR by 12 to get the monthly interest rate.

Let's calculate it:

APR = 18.991

Monthly interest rate = APR / 12 = 18.991 / 12 = 1.58258

Rounding to the nearest hundredth, the monthly interest rate for the account is approximately 1.58%.

Please note that the rounding may result in a slight difference from the exact value.

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The matrix of a quadratic form is always a symmetric matrix.A quadratic form is a mathematical expression that consists of variables raised to the power of two, multiplied by coefficients, and added together.

It can be represented in matrix form as Q(x) = x^T A x, where x is a vector of variables and A is the matrix of coefficients. The matrix A is known as the matrix of the quadratic form.

To show that the matrix of a quadratic form is symmetric, let's consider the expression Q(x) = x^T A x. Using the properties of matrix transpose, we can rewrite this expression as Q(x) = (x^T A^T) x. Since the transpose of a matrix A is denoted as A^T, we can see that A^T is the same as A, as A is already a matrix.

Therefore, we have Q(x) = x^T A x = x^T A^T x. This implies that the matrix of the quadratic form A is symmetric, as A^T = A. In other words, the elements of the matrix A are symmetric with respect to the main diagonal. This property holds true for any quadratic form, regardless of its coefficients or variables, making the matrix of a quadratic form symmetric.

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Answer:

Step-by-step explanation:

6% = 6 / 100 = 0.06

Price paid = 1.99 + 1.99 * 6/100

Price paid = 1.99 + 1.99 * 0.06

Price Paid = 1.99 ( 1 + 0.06)

Price Paid = 1.99 ( 1.06)

Price paid =2.11 cents rounded.

Answer:

-7 and -6

Step-by-step explanation:

\( {w}^{2} + 13w + 42 = 0\)

\((w + 7)(w + 6) = 0\)

w = -7, -6

Answer:

i know that the second one part b matches to the last option

Step-by-step explanation:

Answer:

day and 10 are not getting survey of relativity media and the correct answer re my name because I am will get you sir yours faithfully Mr of relativity theory and 10 are the correct answer re my grandmother is not getting any response yet to be upto date and the other side is the correct address is the best of the following statements is the correct answer is no doubt the best regards the correct address you e the following ad listing of all the time to reduce your doing good I am will get the correct address is correct address is the best right answer to reduce the amount is not shown and described in this case I will be encouraged me as a great day itself because this case the best and most importantly I the only one that I have a good time for a good morning please doddamma send me a good morning please find nth term and 10 I have been working with our results show that you want me to reduce their breast and leg stroke in the best regards David sent to reduce your u don't know what did you do exercise of the following statements of the periodic reports and 10 term of the periodic you sir yours faithfully Dr is the correct address you have a nice weekend too the correct address is no longer be upto date of birth and 10 term 1 amdmit the correct address is the best regards the happy hour is the correct answer and down stairs in India vs Pakistan is the correct address you sir yours in service and leg is correct because I have been in touch with our results suggest is to be upto the best regards David David sent to the correct answer is no sir yours in health care industry provider for a great weekend as I am not shown up yet and I have a great site the best of luck to reduce their the best of my grandmother of birth and 10 term of the following ad listing of store locations and leg is healing is the right one that requires

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Answer:

x = - \(\frac{2}{5}\)

Step-by-step explanation:

given f(x) = \(\frac{5}{2}\) x - 1 and f(x) = - 2 , then equate right sides

\(\frac{5}{2}\) x - 1 = - 2 ( add 1 to both sides )

\(\frac{5}{2}\) x = - 1 ( multiply both sides by 2 to clear the fraction )

5x = - 2 ( divide both sides by 5 )

x = - \(\frac{2}{5}\)

Answer:

1

Step-by-step explanation:

x = 1, y = -1

4xy - 6y + y

= 4 · (1) · (-1) - 6 · (-1) +(-1)

= -4 + 6 - 1

= 1

So, the answer of the value is 1