How do I solve this please give clear steps for the sake of a seventh grader. Thank you.

1945 men and 2849 women register to audition for a singing competition. The number of participants who are not successful in their auditions what’s five times the number of those who are successful. There are 799  participants were successful.

The successful  participants  can be calculate by solving a linear equation as follows

First, it's crucial to understand linear equations.

Equation connects the two algebraic expressions with an equal to sign to demonstrate the equality between the two algebraic expressions.

Linear equations are those with one degree.

In this case, a linear equation must be resolved.

1945 for the men's total

Women are present in 2849.

Participants in total: 1945 + 2849 = 4794

Let x be the proportion of participants that were successful.

Men who failed were 5 times as numerous.

Participants in total: 5x + x = 6x

Due to the issue,

The linear formula is

6x = 4794

x = 4794/6

x = 799

799 of the participants had success.

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The coordinates of point B' after the translation are given as follows:

B'(1,-2).

A translation happens when either a figure or a function are moved horizontally or vertically.

The meaning of the translation for this problem is given as follows:

The coordinates of point B are given as follows:

B(5,1).

Hence the coordinates of point B' are given as follows:

Meaning that the last option is correct.

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Answer:

182

The number of permutations of 14 things taken 2 at a time is ...

 14P2 = 14·13 = 182

The first color can be any of the 14 on the palette. The second color must be different, so can be any of the remaining 13.

___

We assume that a "yellow/red" flag is different from a "red/yellow" flag. That is, order matters.

The Answer is 95 miles using distance rule of maths.

What is distance in math?

As its name implies, any distance formula outputs the distance (the length of the line segment). In coordinate geometry, there is a number of formulas for finding distances, such as the separation between two points, the separation between two parallel lines, the separation between two parallel planes, etc.

So if we mark their position in x-y plane. one is not x line and another one is in y line.

So the coordinates of the points are (57,0) and (0,76)

The distance between them is √(y²+x²)

= √(57²+76²)

=√ (3249 + 5776)

= 95 miles

Hence the distance between them is 95 miles.

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Answer:

\(x\geq 6\)

Step-by-step explanation:

Assuming you meant the equation was \(y=2\sqrt{x-6}\)

The x-value must be greater than or equal to 6 because you cannot have an imaginary(negative) number underneath the square root.

Option D is correct, the domain of the function is x≥6, or in interval notation, [6, ∞) or 6≤x<∞, Option D is correct.

A relation is a function if it has only One y-value for each x-value.

The domain of the function y=2√(x-6) is the set of all values of x for which the function is defined.

Since the only restriction on x in this function is that the expression inside the square root (x-6) must be non-negative, we have:

x-6 ≥ 0

Solving for x, we get x greater than or equal to six.

x ≥ 6

Therefore, the domain of the function is x≥6, or in interval notation, [6, ∞)., Option D is correct.

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For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.

To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.

To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.

Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.

Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.

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Answer:

B) x=2

Step-by-step explanation:

6x+3=3(7-x)

6x+3=21-3x

9x+3=21

9x=18

x=2

Answer:

7 ft

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

153.86 = 3.14 r^2

Divide each side by 3.14

153.86 / 3.14 = r^2

49 = r^2

Take the square root of each side

sqrt(49) = sqrt(r^2)

7 = r

The required explanation for log of base 10 is described.

The ability of logarithms to solve exponential problems is a large part of their strength. Examples of this include sound (measured in decibels), earthquakes (measured on the Richter scale), starlight brightness, and chemistry (pH balance, a measure of acidity and alkalinity).

The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).

The logarithm can be rewritten using the general rule. The common logarithm, which has a base of 10 always, is what you're dealing with when the log has no base.

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Answer:

hmm

Step-by-step explanation:

Answer:

x>-12

Step-by-step explanation:

x + 15 > 3 (Group like terms)

x>3-15

x>-12

After approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

The value of shares t years after their floatation on the stock market, is modelled by V = 10e0.09t

The initial value of shares = V when t = 0. So, putting t = 0 in V = 10e0.09t,

we get

V = 10e0.09 × 0= 10e0 = 10 × 1 = 10 million dollars.

The values after 5 years, 10 years and 12 years, respectively are:

For t = 5, V = 10e0.09 × 5 ≈ 19.65 million dollarsFor t = 10, V = 10e0.09 × 10 ≈ 38.43 million dollarsFor t = 12, V = 10e0.09 × 12 ≈ 47.43 million dollars

The total revenue (TR) in t years' time is modelled as TR = 10e−0.19t (in million dollars)

The current revenue is the total revenue when t = 0.

So, putting t = 0 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 0= 10e0= 10 million dollars

Revenue in 5 years' time is TR when t = 5.

So, putting t = 5 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 5≈ 4.35 million dollars

To find when the revenue of this firm is going to drop to $1 million, we need to solve the equation TR = 1.

Substituting TR = 1 in TR = 10e−0.19t, we get1 = 10e−0.19t⟹ e−0.19t= 0.1

Taking natural logarithm on both sides, we get−0.19t = ln 0.1 = −2.303

Therefore, t = 2.303 ÷ 0.19 ≈ 12.13 years.

So, after approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

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Answer:

1.1666 (repeating) is the correct answer

Answer:

Divide 7 by 16, and the result is 0.4375.

Step-by-step explanation:

Answer:

  They represent positive and negative numbers.

Step-by-step explanation:

Therefore, √128 lies between 11 and 12 on a number line.

To determine the two numbers between which √128 lies on a number line, we can calculate the square roots of consecutive perfect squares that surround 128.

By calculating the square roots, we can find the two nearest whole numbers that √128 lies between.

Calculating the square roots of perfect squares near 128:

√121 = 11

√144 = 12

Since 128 is greater than 121 and less than 144, √128 lies between √121 and √144 on the number line.

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Answer:

Random assignment is necessary for internal validity, whereas random assignment is necessary for external validity

Step-by-step explanation:

Answer:

give the other person brainliest

Step-by-step explanation:

the answer is B. 62°

the correct answer to the question is the answer is B. 62°

Answer:

She is 20 Years Old

Step-by-step explanation:

by solving it lol

The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.

A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.

The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.

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The Taylor Rule predicts a target interest rate of 19.65 percent for the Fed in 1980. The Taylor Rule is a monetary policy guideline that suggests a target interest rate based on the inflation rate and unemployment rate.

In 1980, with an inflation rate of 13.5 percent and an unemployment rate of 7.8 percent, the Taylor Rule can be used to calculate the predicted target interest rate.

The Taylor Rule formula is given by:

Target Interest Rate = Real Interest Rate + Inflation Rate + (0.5 * Inflation Gap) + (0.5 * Output Gap)

In this case, the inflation rate is 13.5 percent, which exceeds the target rate of 3 percent. The inflation gap is the difference between the actual inflation rate and the target rate, so it is 13.5 - 3 = 10.5 percent.

The output gap is the difference between the actual unemployment rate and the full-employment rate. In this case, the unemployment rate is 7.8 percent and the full-employment rate is 6 percent, so the output gap is 7.8 - 6 = 1.8 percent.

Assuming a real interest rate of zero, we can calculate the target interest rate using the Taylor Rule formula:

Target Interest Rate = 0 + 13.5 + (0.5 * 10.5) + (0.5 * 1.8) = 13.5 + 5.25 + 0.9 = 19.65 percent

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Answer:

degrees and the measure of angle 5 is -------- degrees. The measure of angl

Step-by-step explanation:

Answer: a= 1 b=-8 c=15

Step-by-step explanation:

A is the number before \(x^{2}\)

B is the number (including the sign) before X

c is the number without a variable

Answer:

1)25%

2)likely

3)1/4

4)46

5)10%

6)I am so sorry I have no clue

7)1/4 or 1/12

8)1/8 or 1/12

9)80%

10)80%

1/15

Step-by-step explanation:

I hope this helps.

Answer:

1)25%

2)likely

3)1/4

4)46

5)10%

6) second choice

7)1/4 or 1/12

8)1/8 or 1/12

9)80%

10)80%

1/15

Step-by-step explanation:

So we must find the probability that two independent events happen at once. These events are rolling a 5 and drawing a 5 from the deck. Since they are independent events because the result of one of them doesn't depend on the result of the other the probability that both happen is given by the product of their individual probabilities.

The probability of rolling a 5 is given by the quotient between the number of 5's in the die and the total number of faces in the die. There's only one 5 in the die and it has 6 faces so the probability of rolling a 5 is:

A standard deck has 52 cards and four of those cards are fives. Then the probability of drawing a 5 is given by the quotient between the number of fives in the deck and the total number of cards in it. Then we get:

Then the probability of rolling a 5 and then drawing a 5 from the deck is given by the product of the two probabilities that we found before:

Then the answer is 1/78.

Answer:

7950

Step-by-step explanation:

Answer:

Its 7900

Step-by-step explanation:

If its 5 and up round it its its 4 and below let it go

4 is less than 5 so you round down to 7900 not up to 7500

The correct expression for g(f(x)) is:

g(f(x)) = (3x³ + 4)/2.

Given functions are:

f(x) = 3x³ + 4g(x) = x/2We need to calculate the composite of the two functions, i.e., g(f(x)) or g ° f(x).For that, we will use the formula of composite functions.

Composite functions can be calculated as:(g ° f)(x) = g(f(x))

Here, f(x) = 3x³ + 4 and g(x) = x/2So, f(x) will replace x in g(x) and the resulting function will be g(f(x)) as follows:

g(f(x)) = f(x)/2 = (3x³ + 4)/2

Thus, the correct expression for g(f(x)) is: g(f(x)) = (3x³ + 4)/2.

Therefore, the correct option is 3x³/2 + 2.

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Answer:

y = 4x - 3

Step-by-step explanation:

The equation for a line is y = mx +c

We need to find m which is the gradient:

To do this pick any two coordinates on the line:

(1, 1) and (2, 5)

Next divide the difference of the y coordinates by the difference of the x coordinates:

5 - 1 / 2 - 1

= 4/1 = 4

so our gradient is 4

We'd write that as y = 4x + c

Next we need to find c which is the y-intercept

To do this just simply look for where the line crosses the y-axis

This is -3

So we'd write that as y = 4x - 3

Hope this helps :)

Answer:

y=4x-3

Step-by-step explanation:

it wewnt up 4

the baby value/y interseption was -3

The number of different 4 digit numbers that can be formed using only digits 1,2,3 and 4 if they are repeated is; 256 possible numbers

Since the numbers can be used as many times as we want, then it means they can be repeated.

Thus, if we are looking at the number of 4 digit numbers we can create using the numbers 1, 2, 3, and 4, we can calculate that the following way:

For each digit (thousands, hundreds, tens, ones), we have 4 possible choices of numbers. And so we can create;

4 × 4 × 4 × 4 = 256 numbers

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