What is a requirement of supplementary angles

120 different programs can be arranged.

What is permutation?

A permutation is a specific arrangement of objects. Set members or elements are arranged in a sequence or linear order here.

Since we are dealing with arrangements, this is a permutation problem.

Given: In the first question we have the choice of 5 acts to appear first, 4 acts to appear second, 3 acts to appear third, and so on.

So, you get 5! = 5 * 4 * 3 * 2 * 1

⇒ 120 different programs.

In the second question we have 3 choices for the first act (bands), 2 choices for the second act (comics), 2 choices for the third act (bands), 1 choice for the fourth act (comic), and 1 choice for the fifth act (band).

So, you get 3 * 2 * 2 * 1 * 1

⇒ 12 different programs.

Hence, 120 different programs can be arranged if the comics must perform between bands.

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Answer:

is this correct? hope it works

Answer:

The difference of a number and 4 is 11

=> That number is 11 + 4 = 15  

The quotient of a number and 13 is 78

=> The number is 13 x 78 = 1014

6.5 more than a number is 19.1

=> The number is 19.1 - 6.5 = 12.6

Hope this helps!

:)

Answer:

HI THERE 1. is  9   2. is 7.08  and 3. is 13.8 pls mark brainlist

Step-by-step explanation:

Answer:

#1 is 9

#2 is 12 and 5/12

#3 is 69/5 or 13.8

Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

  - The item costs $350 before tax.

  - The sales tax rate is 14%.

  - To find the sales tax amount, multiply the cost of the item by the tax rate:

    Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

  - Add the sales tax amount to the original cost of the item:

    Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

  - The spinner has 10 equal-sized slices.

  - There are 4 yellow slices, 3 red slices, and 3 blue slices.

  - Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

  - Yellow: Kala got 400 yellow results out of 1000 spins.

  - Red: Kala got 300 red results out of 1000 spins.

  - Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

  - Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

  - Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

  - Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

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There were 172 children and 165 adults admitted to the amusement park.

Given that the admission fee for children is $1.50, so the total amount collected from children is 1.5c.

Similarly, the admission fee for adults is $4, so the total amount collected from adults is 4a.

We are also given that the total number of people admitted to the park is 337, so we can write the following equation based on the number of people:

c + a = 337

The total admission fees collected is $918.

1.5c + 4a = 918

Now we have a system of two equations.

From the first equation, we can express 'c' in terms of 'a':

c = 337 - a

Substituting this value of 'c' into the second equation:

1.5(337 - a) + 4a = 918

505.5 - 1.5a + 4a = 918

2.5a = 918 - 505.5

2.5a = 412.5

a = 412.5 / 2.5

a = 165

Substituting the value of 'a' back into the first equation:

c + 165 = 337

c = 337 - 165

c = 172

Therefore, there were 172 children and 165 adults admitted to the amusement park.

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The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

if those lines are parallel, then the m∠ = 92°

Step-by-step explanation:

The angle rule of corresponding angles or the corresponding angles postulate states that the corresponding angles are equal if a transversal cuts two parallel lines. Corresponding angles are equal if the transversal line crosses at least two parallel lines.

\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

The given fraction is \(1\frac{3}{4}\).

\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.

Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.

Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.

Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

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Step-by-step explanation:

1ft=12in

1¾ft=x

x=12×7/4=21in

1¾ft=1¾×1 ft

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

Equation: S = 650 + 40w

Ryan has $1290 in his savings after 16 weeks.

Savings = S

weeks = 16

S = 650 + 40w

S = 650 + 40(16)

S = 650 + 640

S = 1290

Answer:

4/5

Step-by-step explanation:

Slope

    Slope y-intercept of a line: y = mx + b

Where m is the slope and b is the y-intercept.

 \(\sf y =\dfrac{4}{5}x-3\\\\\boxed{Slope = \dfrac{4}{5}}\)

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This line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept.

So that we can conclude that the slope is 4/5.

a. At the certain time, the two cars are located at points A and B on a coordinate plane, with Central Square at the origin. The distance between the two cars is represented by the length of line segment D connecting points A and B.

b. The general formula for D in terms of A and B is:

             \(D = \sqrt{((A - 0)^2 + (B - 0)^2)}\)

c. The derivative of D with respect to time is:

             \(\frac{dD}{dt} = (1/D)\frac{dA}{dt}(A - 0)+(1/D)\frac{dB}{dt}(B - 0)\)

d. At the certain time, the distance between the two cars is increasing because dD/dt is positive. The distance between the two cars is changing at a rate of,

             \(\frac{dD}{dt} = (1/D)\frac{dA}{dt}(A - 0)+(1/D)\frac{dB}{dt}(B - 0)\\\\\frac{dD}{dt}= (1/D)(35)(20)+(1/D)(50)(40)\\\\\frac{dD}{dt}=35+50\\\\\frac{dD}{dt}=85 mph.\)

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First of all remember that all triangles are always equal to 180 degrees from that we can figure out that x is is 70 because 30+80+70=180. z would be 40 because it is parallel to 40 and therefore equal to it. y is 100 because 40+40+100=180. Recap:

x: 70

z: 40

y: 100

Out of 69 students in the art class, around 23 are expected to fail the mathematics test, assuming the probability of passing given is 2/3.

To determine how many students are likely to fail mathematics in the art class, we need to use the given probability of passing the mathematics test, which is 2/3.

First, let's find the probability of failing the mathematics test. Since passing and failing are complementary events (i.e., if the probability of passing is p, then the probability of failing is 1 - p), we can calculate the probability of failing as 1 - 2/3, which simplifies to 1/3.

Now, let's consider the art class, which has a total of 69 students. If the probability of failing mathematics is 1/3, then approximately 1/3 of the students in the art class are likely to fail the mathematics test.

To find the number of students likely to fail, we multiply the probability of failing (1/3) by the total number of students in the art class (69).

(1/3) * 69 ≈ 23

Therefore, approximately 23 students are likely to fail mathematics in the art class of 69 students based on the given probability of passing the mathematics test.

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The expression of the given statement is 2y - 3  = -1

Expressions are mathematical statements that comprise either numbers, variables, or both and at least two terms associated by an operator. The operations of mathematics include multiplication, division, addition, and subtraction.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Let's look at how expressions are written.

The expression of the given statement is 2y - 3  = 4.

Here, let the unknown number = y

Now, product of y and 2 =  2 times  y   =   2y

Also, three less than the product   =  Product - 3

So, three less than the product  of 3 and y =  2 y - 3

Now, this above expression is equivalent to -1.

⇒2 y - 3  = -1

Hence the expression of the given statement is 2y - 3  = -1

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The sentence "Three less than the product of 2 and a number is 4" can be translated into the equation: 2x - 3 = 4

A mathematical statement that demonstrates the equivalence of two expressions is known as an equation.

It has two sides that are divided by the equals sign (=).

Variables, constants, coefficients, operators, and functions can all be used in the expressions on either side of the equation.

Here, x represents the unknown number that we are trying to solve for. The expression "the product of 2 and a number" is represented by 2x, and "three less than" is represented by the subtraction of 3 from that product. This expression is set equal to 4, which is the result given in the original sentence.

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Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.

To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.

Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.

The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.

Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.

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Answer:

B. Does early exposure to peanuts in small amounts or complete avoidance of peanuts better reduce peanut allergy in children with a known allergy to peanuts?

Step-by-step explanation:

Remember we are told there's already a question whether pediatricians should recommend early exposure or avoidance. Thus, the research question should answer these two issues (early exposure or avoidance).

Hence, the question we are asking is: Does early exposure to peanuts in small amounts or complete avoidance of peanuts better reduce peanut allergy in children with a known allergy to peanuts?

Answer:

6 thirds

Step-by-step explanation:

you're welcome

The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

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Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

Answer:

The whole thing is wrong. In order to find radius of a circle its 6(piesymbol) mini 2

Step-by-step explanation:

Answer:

The error of this problem is that 6^3 is supposed to be 216 not 18. The volume is not about 75.4 cubic inches, but it is actually about 904.3

Step-by-step explanation:

When you evalulate 6^3 it is supposed to look like 6 x 6 x 6, which equals 216. However in this problem, the student does it as 6 x 3 = 18, which makes the whole answer wrong.

So the actual volume of the soccer ball is 904.3 cubic inches. A strategy to prevent from getting the problem wrong is to write 6^3 out as 6 x 6 x 6.

The value of the expression 18 + 4(28) will be 130.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 18 + 4(28)

Simplify the expression, then the value of the expression will be

⇒ 18 + 4 x (28)

⇒ 18 + 4 x 28

⇒ 18 + 112

⇒ 130

Thus, the value of the expression 18 + 4(28) will be 130.

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The amount of gun powder particles found around a bullet hole is directly related to the distance from which the weapon was fired.

Which two forces are acting on a bullet?

Two major forces are acting on the bullet ,the forward force of the gunshot and the downward force of gravity. The first force is called aerodynamics and the other force is called gravitational.

What does the distribution of gun powder residue around the bullet hole help to determine?

The residue exit the muzzle in a cone shaped and can land on the target objects. The size and density of the residue on the object can vary with distance allowing the fire man examiner to determine proximity of shooter to the target killing when gun is fired.

Therefore, the amount of gun powder particles found around a bullet is directly related to the distance when gun was fired.

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We have the following informattion:

- Initial value of 24375

- It doubles every 393 minutes

- We want the population after 1179 minutes.

In an exponential equation, we have three mainparts:

A is the initial value, always, so we have a directly relation:

b is how much it changes in a given period. In this case, we have it double after the given period, so:

n is how many of this period have passed. 1 period is 393 minutes, so to calculate how many period of it we have, we get the total time (in minutes) and divide by the period we have. So, given t minutes passed, we have:

So, in the end, we have the equation:

And now, we can just substitute any time in minutes to calculate the population after that time, in this case, we want t = 1179:

So, aftter that period, the population will be 195000.

Answer:

90 years

Step-by-step explanation:

Equation =

200 - 2x = 20

2x = 200 - 20

2x = 180

x = 180 / 2

x = 90

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Answer:

20 blue beads........20 black beads

Answer:

x = 5

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle

Therefore m<A + m<B = m<C

13x - 11 + 4x + 1 = 18x - 15 add like terms

17x - 10 = 18x - 15

15 - 10 = 18x - 17x

5 = x

Answer:

x = 5

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer: En en el primer espacio es 10; en el segundo, 21.

Step-by-step explanation:

Es una secuencia de múltiplos de 2 y 3.

Múltiplos de 2:

2, 3, 4, 6, 6, 9, 8, 12, 10, 15, 12, 18, 14, 21, 16, 24, 18...

Múltiplos de 3:

2, 3, 4, 6, 6, 9, 8, 12, 10, 15, 12, 18, 14, 21, 16, 24, 18...

0the sequence is

-3 -14 -15 -36

Let's try the Priyankas formula g(n) = -3 -11n.

n=0

g(0)=-3-11(0)=-3

n=1

g(1)=-3-11(1)=-14

n=2

g(2)=-3-11(2)=-25

n=2 it is not -15 so Priyanka's formula is wrong

Let's try the Ethan's formula g(n) = -3 +11n.

n=0

g(0)=-3+11(0)=-3

n=1

g(1)=-3+11(1)=8

n=1 it is not -14 so Ethan's formula is wrong

neither is right

the answer is D.