6 Bands were going to play at a concert. How many ways can the concert manager send them on stage?

The expression for the calculation double the product of 8 and 3 is 2*(8*3). When calculated, it equals to 48.

The expression for the calculation double the product of 8 and 3 is represented by 2*(8*3). Here, the multiplication sign (*) denotes multiplying the quantities together. First, multiply 8 and 3 together to get 24, then double the result to get 48. This means that the expression 2*(8*3) equals 48.

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In this question we solve the given complex number equation. By comparing real and complex components on both sides of the equation, we find the values satisfying the equation are x = 5 and y=-13.

In this complex number equation, we must solve for x and y: (x + yi) + (4 + 9) = 9 -4i. Begin by simplifying the left side of the equation, to give (x + 4 + yi +9i) = 9 - 4i. This further simplifies to (x + 4) + (y + 9)i = 9 -4i.

Now we can see that the real component of the equation (x + 4) must equal the real component on the other side of the equation (9), and the complex component of the equation (y + 9)i must equal the complex component -4i. Setting these equal gives x + 4 = 9 and y + 9 = -4.

Solving these gives x = 5 and y = -13, which are the values for x and y satisfying the equation.

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Answer:

[tex]r=\sqrt{\frac{682}{4\pi}}\ m[/tex]

Step-by-step explanation:

we know that

The surface area of a sphere is equal to

[tex]SA=4\pi r^{2}[/tex]

we have

[tex]SA=682\ m^{2}[/tex]

substitute and solve for r

[tex]682=4\pi r^{2}[/tex]

[tex]r^{2}=\frac{682}{4\pi} \\ \\r=\sqrt{\frac{682}{4\pi}}\ m[/tex]

Answer:

See below

Step-by-step explanation:

r^2=682 square meters ÷ 4π

The volume of the cylinder of a radius of 13mm and a height of 16mm

is, B. 8491 mm³.

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.

Examples of cylinders are toilet paper rolls and cold beverage cans.

The volume of a cylinder is πr²h.

Curved surface area = 2πrh.

Total surface area = 2πr(h + r).

Given, The cylinder has a radius of 13mm and a height of 16mm.

Therefore, The volume of this cylinder is,

= π×(13)²×16 mm³.

= 8,490.56 mm³.

Q. find the volume of the cylinder having a radius of 13mm and a height of 16mm answer choices.

A. 16,990

B. 8,491

C. 4,247

D. 2,369

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Answer:

  Area = 630/11 cm² = 57 3/11 cm²

Step-by-step explanation:

  Area = (5 cm)(KN) = (6 cm)(KL)

  Perimeter = 2(KN +KL) = 42 cm

So, ...

  KN = 1.2·KL . . . . divide the area equation by 5 cm

  1.2·KL +KL = 21 cm . . . . . divide the perimeter equation by 2

  KL = (21 cm)/2.2 . . . . . . . divide by the coefficient of KL

Substituting for KL in the area equation, we have ...

  Area = (6 cm)(21 cm)/2.2 = 630/11 cm²

The value of function at x = 3.97 is 6.94 using linear approximation.

Linear approximation is a method that uses the derivative of a function at a given point to approximate the function's value at a nearby point.

Given:  f(4) = 7 and f'(4) = -2

The linear approximation formula is given by:

[tex]\[f(x) \approx f(a) + f'(a)(x-a)\][/tex]

where a is the known point is the known function value at a, f'(a) is the derivative of the function at a.

Substitute the known values into the formula:

[tex]\[f(3.97) = f(4) + f'(4)(3.97 - 4)\][/tex]

[tex]\[f(3.97) = 7 - 2(0.03)\][/tex]

[tex]\[f(3.97) =7 - 0.06\][/tex]

[tex]\[f(3.97) = 6.94\][/tex]

So, [tex]\(f(3.97) = 6.94\).[/tex]

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The data set with the greater range is (the girls).

The Median is ( Neither as the range is the same).

I Took The K12 Test

Hello there! :)

The GCF of 30 and 18 is 6.

STEPS:

List all the factors of 30 and 18:

18: 1, 2, 3, 6, 9, 18

30: 1, 2, 3, 5, 6, 10, 15, 30.

So the GCF is 6.

Hope this helps you!

~Just a felicitous girlie

#HaveAnAwesomeDay

[tex]SilentNature :)[/tex]

Answer:

The total amount that Melissa paid for the cake is $82.5

Step-by-step explanation:

we know that

The total amount that Melissa paid for the cake is equal to the cost of the cake plus the sales tax

we have that

the cost is equal to $75

Find the sales tax

The sales tax is 10%, therefore find the 10% of the cost of the cake

10%=10/100=0.10

so

(0.10)*$75=$7.5

Adds the cost and the sales tax

$75+$7.5=$82.5

Final answer:

The perimeter of a rectangle with the vertices given by the student is found by adding twice the length and twice the width, resulting in a total border length needed of 16 feet.

Explanation:

The student is asking about calculating the perimeter of a rectangular garden using the coordinates of its vertices. To find the total length of border needed, we look at the coordinates (3, 9), (5, 9), (3, 3), and (5, 3) given for the rectangle. The distance between two points on the same vertical line, like (3, 9) and (3, 3), is the absolute difference of the y-coordinates, which is,

9 - 3 = 6 feet.

Similarly, the distance between two points on the same horizontal line, like (3, 9) and (5, 9), is the absolute difference of the x-coordinates, which is

5 - 3 = 2 feet.

Since a rectangle has two pairs of equal sides, the total perimeter is 2 times the length plus 2 times the width. Therefore, the total length of border needed is,

2 x 2 feet + 2 x 6 feet

= 4 feet + 12 feet

= 16 feet.

Answer:

The answer would be 59,320

Step-by-step explanation:

10+10 is 20

20-10 is 10

10x5,932 is 59,320

Answer:

Option D

Step-by-step explanation:

We will check each option for the given expression (x-25)/(x+13)

(A). for x = 13

[tex](\frac{x-25}{x+13})=\frac{13-25}{13+13} =\frac{-12}{26}[/tex]

So expression is defined.

(B). for x = 0

[tex]\frac{x-25}{x+13}=\frac{0-25}{0+13} =(\frac{-25}{13})[/tex]

So expression is defined.

(C). For x = 25

[tex](\frac{x-25}{x+13})=\frac{25-25}{25+13} =0[/tex]

So expression is defined

(D). For x = -13

[tex]\frac{x-25}{x+13}=\frac{-13-25}{-13+13}=( \frac{-38}{0})[/tex]

Function is not defined.

Option D is the answer.

Answer:

E. 2i√5

Step-by-step explanation:

√-20 = (√-1)(√20) = i·(2√5) = 2i√5

The solution to the expression log₅ ( 2 )+ log₅( 10 ) - log₅( 4 ) is 1. Option B is correct.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression is calculated as:-

E = log₅ ( 2 )+ log₅( 10 ) - log₅( 4 )

Use Logarithmic property Loga(x / y ) = Loga(x) - Loga(y)

E = log₅ ( 2 ) + log₅( 10 / 4 )

Use Logarithmic property Loga(x y ) = Loga(x) + Loga(y)

E = log₅  [ 2 x ( 10 / 4 ) ]

E =   log₅ ( 5 ) = 1

Therefore, the solution to the expression log₅ ( 2 )+ log₅( 10 ) - log₅( 4 ) is 1. Option B is correct.

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The statement '2 minus the product of a number and 9 is 20' translates to the equation 2 - 9x = 20. Solving for x, we find the solution x = -2, meaning the number in question is -2.

The student is asking to translate the phrase '2 minus the product of a number and 9 is 20' into a mathematical equation. The 'product of a number and 9' can be represented as '9x' where 'x' is the unknown number. Therefore, translating the entire phrase, we end up with the equation: 2 - 9x = 20.

To solve for 'x', we first bring '9x' to the other side of the equation by adding '9x' to both sides, resulting in 2 = 9x + 20. Subsequently, we subtract 20 from both sides, yielding -18 = 9x, and then we divide both sides by 9 to find the value of 'x'. So, x = -18 / 9, which simplifies to x = -2.

The solution for the equation is x = -2, which means the number we were looking for is -2.