Nine bands are to perform at a weekend festival. Suppose you want to determine how many different ways there are to schedule their appearances. Would you use a combination or a permutation?

Answer:

  y = -3/4x -15/4

Step-by-step explanation:

We assume you mean the given line to be ...

  y = -3/4x -21/4

The slope of this line is -3/4. The parallel line will have the same slope.

__

In point-slope form the equation of the line you seek is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y = -3/4(x -(-5)) . . . . .substitute m=-3/4 and (h, k) = (-5, 0)

  y = -3/4x -15/4

Step-by-step explanation:

Parallel to the x-axis means it is just a horizontal line with the value being the y-coordinate of the point:

y = -2

Answer:

y=-2

and m=0 must be your answer

Step-by-step explanation:

as line is parallel to x axis its slope will be zero as it does not have any definite x coordinate

so

equation of line is y-y'=m(x-x')

so m=0 m is slope

y'=-2 and x'=4

so by substituting the values

y+2=0

so y=-2

and m=0 is your answer

Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

Answer:

1. In the multiplication of the imaginary parts, the student forgot to square of i. OR

2. The student has only multiplied the real parts and the imaginary parts.

Correct value \(=22+7i\).

Step-by-step explanation:

The given expression is

\((4+5i)(3-2i)\)

A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i.

Student's mistake can be either 1 or second:

1. In the multiplication of the imaginary parts, the student forgot to square of i.

2. The student has only multiplied the real parts and the imaginary parts.

\((4+5i)(3-2i)=4\times 3+5\times (-2)i=12-10i\)

Which is not correct. The correct steps are shown below.

Using distributive property, we get

\(4(3-2i)+5i(3-2i)\)

\(4(3)+4(-2i)+5i(3)+5i(-2i)\)

\(12-8i+15i-10i^2\)

\(12+7i-10(-1)\)       \([\because i^2=-1]\)

\(12+7i+10\)

\(22+7i\)

Therefore, the correct value of \((4+5i)(3-2i)\) is \(22+7i\).

Answer:

Yes, triangle GYK is similar to triangle BAK.

Step-by-step explanation:

The sides of each triangle are proportional to each other.

Take the longest side of each triangle. You are comparing line AK with line KY.

The proportion is 15/25.

Now, take the shortest side of each triangle. You are comparing line KB with GK.

The proportion is 6/10.

To determine if the triangles are proportional, we can see if the two proportions are equal to each other:

15/20=6/10

3/5=6/10

Correct! 3/5 equals to 6/10. Therefore, the two triangles are similar because their sides are proportional.

Hope this helps :)

Answer:

O  Yes!

Step-by-step explanation:

We would check whether the proportionality of their sides is equal

Taking proportionality

= \(\frac{6}{10} = \frac{15}{25}\)

Cross Multiplying

6 × 25 = 15 × 10

150 = 150

So, ΔABK is similar to ΔGKY

Using translation concepts, we have that the table of values for the function p(x) = x - 7 is given by:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, the parent function is:

y = f(x).

A translation down 7 units is represented by a subtraction by 7 in the range, that is:

p(x) = f(x) - 7 = x - 7.

The numeric values to be inserted in the table are given by:

In the graph at the end of the exercise, both functions are shown.

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Answer:

The answer is

A. 4

Step-by-step explanation:

Answer:

C) 19

Step-by-step explanation:

The two angles next to each other are complementary angles meaning they add up to 90°. We can use this information to solve for y:

3y + 2 + 31 = 90

3y + 33 = 90

3y = 57

y = 19

The values of the function f(x) = 2x - 15 are -19 and 45 respectively at x = - 2 and x = 30.

The graph of a linear function is a straight line. The following is the form of a linear function.

a + bx = y = f(x).

One independent variable and one dependent variable make up a linear function. x and y are the independent and dependent variables, respectively.

Given:
A function f is defined by the equation,

f(x) = 2x - 15.

The value at x = -2,

A. f(-2) = 2(-2) - 15 = -4 -15 = -19

And the value at x = 30,

B. f(x) = 2x - 15.

f(30) = 2(30) - 15

f(30) = 60 - 15 = 45

Therefore, the required values are -19 and 45 respectively at x = - 2 and x = 30.

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Answer:

Board Games: 30%

Karaoke: 50%

Bowling: 20%

Step-by-step explanation:

Board Games: \(\frac{3}{3+5+2} =\frac{3}{10} =\frac{30}{100}\) or 30%

Karaoke: \(\frac{5}{3+5+2} =\frac{5}{10} =\frac{50}{100}\) or 50%

Bowling: \(\frac{2}{3+5+2} =\frac{2}{10} =\frac{20}{100}\) or 20%

Answer:

Board Games: 30%

Karaoke: 50%

Bowling: 20%

Step-by-step explanation:

3 + 5 + 2 = 10 so there are 10 family members.

3 out of 10 equals 30%

5 out of 10 equals 50%

2 out of 10 equals 20%

Please mark Brainliest if correct

Hope this helps!

Answer:

4 boxes

Step-by-step explanation:

20/5 is 4 therefore 4 boxes with 5 in each

Answer:

20/5 = 4

Step-by-step explanation:

She needs 4 boxes

Answer: it is the 2 one

Step-by-step explanation:

Answer:

≈ 404.6666667

Step-by-step explanation:

70 - 8 ÷ 6 + 8 x 42

70 - 1.33333333 + 8 x 42

70 - 1.33333333 + 336

68.6666667 + 336

404.6666667

Answer:

Step-by-step explanation:

Given

Use formula

If we are in the real numbers, we don't have solutions:

\(x^2 +49 = 0 \implies x^2 = -49 \implies x \not\in\mathbb{R}\)

If we go beyond:

\(x^2 +49 = 0 \implies x^2 = -49 \implies x = \pm\sqrt{-7^2} \implies x = \pm7i\)

Answer:

\(\left[\begin{array}{ccc}y=x&y=\frac{2}{3}x&y=\frac{2}{3}x +1 \\-6&-4&-3\\-3&-2&-1\\0&0&1\\3&2&3\\6&4&5\end{array}\right]\)

Step-by-step explanation:

-6: y = -6

y = \(\frac{2}{3}\) (-6)

y = -4

y = \(\frac{2}{3}\) (-6) + 1

y = -4 + 1

y = -3

-3: y = -3

y =  \(\frac{2}{3}\) (-3)

y = -2

y =  \(\frac{2}{3}\) (-3) + 1

y = -2 + 1

y = -1

0: y = 0

y =  \(\frac{2}{3}\) (0)

y = 0

y =  \(\frac{2}{3}\) (0) + 1

y = 1

3: y = 3

y =  \(\frac{2}{3}\) (3)

y = 2

y =  \(\frac{2}{3}\) (3) + 1

y = 2 + 1

y = 3

6: y = 6

y =  \(\frac{2}{3}\) (6)

y = 4

y =  \(\frac{2}{3}\) (6) + 1

y = 4 + 1

y = 5

The intersection of the given sets is represented as A ∩ B = {2, 4, 6, 8}.

Option (D) is correct.

What is the intersection of two sets?

The intersection of two sets, A and B, is the set of elements that are common to both sets. It is often represented by A ∩ B.

In this case, Set A = {2, 4, 6, 8} and set B = {1, 2, 3, 4, 5, 6, 7, 8}. The set that represents A ∩ B is {2, 4, 6, 8} because these are the elements that are common to both sets A and B.

So the correct answer is {2, 4, 6, 8}

Hence, the intersection of the given sets is represented as A ∩ B = {2, 4, 6, 8}.

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Answer:

60

Step-by-step explanation:

24:2 /5=24*5/2=60

A dot plot would show 7 points for numbers greater than 2 and a histogram would have a maximum of 7 bars. Hence, Both statements b and d are true about a graph representing the data.

Statement b: A dot plot would show 7 points for numbers greater than 2. This is true because there are 7 data points (2, 3, 4, 4, 4, 5, 6) in the data set that is greater than 2.

Statement d: A histogram would have a maximum of 7 bars. This is because there are 7 unique values in the data set (0, 1, 2, 3, 4, 5, 6), and each unique value would correspond to a bar in the histogram.

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Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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Answer:

Lets assume a polynomial

Here GCF is 5z

all terms are divisible by 5z. so greatest common factor is 5z

One form of polynomial is

We factor the polynomial further

Other form of polynomial is

 and  are the two forms of polynomial

First form   is created by taking out GCF 5z

Answer:

The population will be 3800 in four years

Step-by-step explanation:

2500 + 325(4)

2500 + 1300

3800

Answer:

2 csc^2 x

Step-by-step explanation:

using a common denominator, that is

((1+cosx)+(1-cosx))/(1-cos^2c) = 2/sin^2x

Answer:

sin^2x

Step-by-step explanation:

(1+cosx)(1-cosx)

Difference of squares

1-cos^x

Pythagorean identity

sin^2x

Answer:

3.2

Step-by-step explanation:

Answer:

Answer: The first day the author reaches 100 days is on day 16.

To solve this problem, you could use a graphing calculator to graph the given equation. Then, determine when this line crosses 100. It crosses when x = 15.539. Therefore, we would have to round up to 16 so it is at least 100.

You could use the quadratic equation to solve: 100 = x^2 -12x + 45

Either you will get 16. If you use the quadratic formula, make sure to only use the positive answer.