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4 years ago

WILL MAKE THE BRAINLIEST!

Mathematics

1 answer:

mojhsa [17]4 years ago

7 0

Answer:

A. (x,y) → (x-5,y-3)

Step-by-step explanation:

That's the answer

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The triangles ABC and DFG are similar and the ratio of their corresponding sides is 6:5. The area of the triangle ABC is greater

aev [14]

Answer:

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

A ride in an amusement park features a swinging ship suspended from a height of 50 feet. The motion of the ship can be modeled b

il63 [147K]

Answer: The first and last options are correct.

f(x) = pi/4 cos (pix/5 - pi/2)

f(x) = pi/4 sin (pix/5)

Step-by-step explanation

The graph shows that A = pi/4.

B = 10, so the period = 2pi/10 = pi/5.

sin and cos are cofunctions, so a phase shift of -pi/2 makes the two functions equal to each other.

Hope this helps :)

8 0

3 years ago

How does the number of solutions of a system depend on ranks of the coefficient matrix and the augmented matrix?

fenix001 [56]

Answer:

The number of solutions of a system is given by the number of different variables in the system, this number has to be the same as the number of independent equations. The coefficients and the augmented matrix of the system show these values in a matrix form. A system has a unique solution when the rank of both matrixes and the number o variables in the system are the same.

Step-by-step explanation:

For example, the following system has 2 different variables, x and y.

$x+y=1\\x+2y=5$

In order to find a unique solution to the system, the number of independent equations and variables in the system must be the same In the previous example, you have 2 independent equations and 2 variables, then the solution of the system is unique.

The rank of a matrix is the dimension of the vector generated by the columns, in other words, the rank is the number of independent columns of the matrix.

According to Rouché-Capelli Theorem, a system of equations is inconsistent if the rank of the augmented matrix is greater than the rank of the coefficient matrix. The inconsistency of the system is because you can't find a combination of the variables that will solve the system.

6 0

3 years ago

O'Henry Elementary School has a chess club. Of the students in the sixth

kiruha [24]

Answer:

35% of the sixth grade is in the chess club

Step-by-step explanation:

if there are 100 students consider that as 100%

20 is a fifth of 100

20 x 5 =100

since 7/20 is a fraction you multiple the numerator (7) with the same number you multiplied to the denominator (20) which is 5.

7 x 5 = 35

35/100 = 35%

3 0

3 years ago

A multiple-choice test has 30 questions and each one has five possible answers, of which only one is correct. If all answers wer

kumpel [21]

Answer: the probability is 0.13

Step-by-step explanation:

First, each question has 5 options and only one is correct.

Then, selecting at random, the probability of getting a correct answer is equal to:

p = 1/5 = 0.20 (and the probability of getting it incorrect is p = 4/5 = 0.80)

Now, if out of 30 questions, we got 4 correct and 26 incorrect, the probability for a given combination is;

p = (0.20^4)*(0.80^26)

But we also need to multiply this by the total number of combinations.

This is we have 30 questions in total, and we can select 4 of them that will be the correct ones.

Now, if we have N objects in total, the number of different combinations of K elements out of those N elements is

$C = \frac{N!}{(N-K)!*K!}$

In this case, N = 30 and K = 4.

$C = \frac{30!}{(30 -4)!*4!} = \frac{30*29*28*27}{4*3*2} = 27,405$

Then the probability of getting exactly 4 correct answers is:

P = (0.20^4)*(0.80^26)*27,405 = 0.13

5 0

3 years ago