In triangle​ ABC, the measure of angle B is 39 more than three times the measure of angle A. The measure of angle C 66 is more than the measure of angle A. Find the measure of each angle.

(a) This study is observational because the consultant is not manipulating any variables or imposing treatments on the machines.

(b) The factors are:

Machine (experimental factor): There are six machines, labeled A through F.

Carton (observational factor): There are 20 cartons selected randomly from each machine.

Deviation from 32 ounces (response variable): This is the weight difference between the actual fill amount and the target fill amount of 32 ounces.

The factor levels are:

Machine: A, B, C, D, E, F

Carton: 1, 2, 3, ..., 20

The factor-level combinations are all possible pairs of machine and carton, such as A-1, A-2, ..., F-20.

(c) This is a nested design because the 20 cartons selected from each machine are not interchangeable between machines.

(d) Here's an example code snippet in R to import the data and display the structure of the dataframe:

data <- read.csv("filling_machine_data.csv")

data$Machine <- factor(data$Machine)

levels(data$Machine)

Assuming the data is stored in a CSV file called "filling_machine_data.csv", the code reads in the data, coerces the Machine variable to a factor, and displays the factor levels of Machine

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Answer:

ticket for movie A = 35
ticket for movie B = 12

Step-by-step explanation:

Let A= is ticket  for movie A
Let A= is ticket  for movie B

We have A + B  = 47 (1)
4A + 5B = 200  (2)

From (1) multiply 5 in both side 5A + 5B = 47(5)= 235
                                                     4A + 5B =           200

So A = 35
   B= 47-35 = 12

I hope that help..

option A and D have domain and ranges of the entire real number set.

option B has a domain (-a, /infinity)

so the example function with a domain is option C which is:

Answer: $81,686

Step-by-step explanation:

$148,520 - 45% = $81,686

Alternative

$148,520 x 0.55 = $81,686

Liam divided his blueberries into 3 equal portions.

What are the portions?

Let's denote by x the number of equal portions that Liam divided his blueberries into. Since Norah divided her blueberries into 6 equal portions and gave away 3 of them, she gave away 3/6 = 1/2 of her blueberries.

Therefore, Liam gave away 3/4 - 1/2 = 1/4 of the total blueberries.

Since Liam gave away 1 portion of his blueberries, this means that the total number of portions of blueberries is x+1.

Therefore, the fraction of blueberries that Liam gave away is 1/(x+1), and we know that this is equal to 1/4. We can write this as an equation:

1/(x+1) = 1/4

Multiplying both sides by 4(x+1), we get:

4 = x+1

Subtracting 1 from both sides, we get:

x = 3

Therefore, Liam divided his blueberries into 3 equal portions.

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Complete question is:

• Norah divided her blueberries into 6 equal portions and gave away 3 of the portions

• Liam divided his blueberries into equal portions and gave away 1 of the portion

• Together, Norah and Liam gave away 3/4 kilogram of blueberries. tow many equal portions did Liam divide his blueberries into 3 equal portions.

To answer this question, we have:

This is equivalent to the following:

Then we have:

Therefore, we have:

If we simplify both fractions, we finally have:

And

Then after simplification, we finally have:

In summary, the process was as follows:

The final result is, then, x - 2.

The transfer function H(z) = (z + 1)/(z - 1) represents a BIBO stable causal system.

To determine if the system is BIBO stable, we need to check whether the impulse response of the system is absolutely summable.

For a causal system, the impulse response is the same as the coefficients of the transfer function.

So we need to check whether the sum of the absolute values of the coefficients is finite.

The transfer function H(z) is:

H(z) = (z + 1)/(z - 1)

The coefficients of the transfer function are 1 and 1 for the numerator, and -1 for the denominator.

So the impulse response of the system is:

h[n] = [1, 1, 0, 0, ...] * δ[n] - [-1, 0, 0, 0, ...] * δ[n]

where δ[n] is the discrete-time impulse function.

The absolute value of the coefficients of h[n] are |1| = 1, |1| = 1, and |-1| = 1.

So the sum of the absolute values of the coefficients is:

|1| + |1| + |-1| + |0| + |0| + ... = 3

Since the sum of the absolute values of the coefficients is finite, the system is BIBO stable.

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Answer: x = - 10

Step-by-step explanation:

    We will use the equation given, substitute -1,000 in for y, and solve.

y = x³

(1,000) = x³

\(\sqrt[3]{ (1,000)} = \sqrt[3]{x^3}\)

- 10 = x

x = - 10

Answer:

675

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

(5t - 3) · (3t + 7)

t = 6

Step 2: Evaluate

Answer:

(5t -3)(3t+7) (im multiplying them together, if that's not what the questions asking lmk. but anyway, put them next to eachother and then plug in 6 for t)

(5(6) -3)(3(6)+7) (multiply where possible)

(30 -3)(18+7) (use the distributive property/foil to multiply the two)

540 +210 -54 -21 (add the positive numbers and subtract the negative )

750 - 75 (subtract)

675 (the answer)

Step-by-step explanation:

I hope this helps :)

A answer b                      B answer c

Step-by-step explanation:

The equations that has the solution x = all real numbers is 5(3x)+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x,

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

Here given equations,

5(3x) + 6x = 3x + 15 + 2x

15x + 6x = 3x + 15 + 2x

15 x + 6x - 3x -2x = 15

16 x = 15

x = 15/16

5(3x).+ 7x = 3x + 15 - x

15 x + 7x = 3x + 15 - x

15 x + 7x - 3x + x = 15

22x - 3x + x = 15

20 x = 15

x = 15/20

x = 3/4

5(3x) + 7x = 3x + 10 - x

15x + 7x - 3x + x = 10

20x = 10

x = 10/20

x = 1/2

5(3x) + 7x = x + 15 - 3x

15x +7x - x + 3x = 15

24x = 15

x = 15/24

x = 5/8

Therefore the equations that has the solution x = all real numbers are :

5(3x).+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x .

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Transformation includes changing the position of a shape.

The sequence of metamorphosis is 90 degrees counterclockwise gyration, followed by a vertical restatement to the right by 2 units.

What's meant by sequence?

The ordered brace- rule for each are :

(x,y)⇒ (-y,x) and (x,y)⇒(x+2,y)

The sequence of metamorphosis.

From the figure, we observed that ABC was rotated and also restated

So, the sequence of metamorphosis on ABC are

90 degrees counter clockwise gyration.

Vertical restatement to the right by 2 units.

The ordered brace rule :

When a point is rotated 90 degrees counter clockwise, the rule of metamorphosis is :

x, y)->(- y, x)

When a point is restated 2 units right, the rule of metamorphosis is :

x, y)->( x 2, y)

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Transformation includes changing the position of a shape.

The sequence of metamorphosis is 90 degrees counter clockwise gyration, followed by a vertical restatement to the right by 2 units.

The ordered brace- rule for each are :

(x,y)⇒ (-y,x) and (x,y)⇒(x+2,y)

The sequence of metamorphosis.

From the figure, we observed that ABC was rotated and also restated

So, the sequence of metamorphosis on ABC are

90 degrees counter clockwise gyration.

Vertical restatement to the right by 2 units.

The ordered brace rule :

When a point is rotated 90 degrees counter clockwise, the rule of metamorphosis is :

x, y)->(- y, x)

When a point is restated 2 units right, the rule of metamorphosis is :

x, y)->( x 2, y)

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Answer:

Calculate the mean of the x -values and the mean of the y -values. ...

The following formula gives the slope of the line of best fit: m = ∑ i = 1 n ( x i − X ¯) ( y i ...

Compute the y -intercept of the line by using the formula: b = Y ¯ − m X ¯

Use the slope m and the y -intercept b to form the equation of the line.

We have a total of seven 4-tuples that satisfy the given relation.The given relation is {(a,b,c,d) | a,b,c,d∈!+ , a+b+c+d = 6}. It can be understood as the set of 4-tuples (a, b, c, d) such that a, b, c, and d are positive integers and their sum is equal to 6.

Let's now list all the possible 4-tuples that satisfy the given relation. The possible combinations are as follows: (1, 1, 1, 3), (1, 1, 2, 2), (1, 2, 1, 2), (2, 1, 1, 2), (1, 2, 2, 1), (2, 1, 2, 1), and (2, 2, 1, 1).

Here's a brief explanation on how these 4-tuples were obtained. Let a, b, c, and d be positive integers such that a+b+c+d = 6. The least possible value that each variable can take is 1.

So, we start with a=1 and find all possible values of (b, c, d) that satisfy the given equation. Then, we move to a=2 and repeat the process. Finally, we list all the possible 4-tuples that we obtained.

Thus, we have a total of seven 4-tuples that satisfy the given relation.

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Answer:

x<-18

Step-by-step explanation:

you divide -3 by both sides.

Hii!

___________________________________________________________

Answer:

Step-by-step explanation:

To solve the inequality, we will divide both sides by -3. Upon doing this we obtain

\(\boldsymbol{x > -18}\)

NB: The sign of the inequality changes every time we divide, or multiply, both sides by a negative number.

NB2: The x's greater than -18 (like -17, -16, etc.) will satisfy this inequality and make it a true statement.

--

Hope that this helped! Best wishes.

--

Answer:

length = 91 m

Step-by-step explanation:

area = length * width

so,

7371 = length * 81

cancel out 81 by dividing on both sides

91 = length

My recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs. This combination offers the highest profit potential based on the given prices and costs.

In order to maximize their profit, Carlos and Clarita should choose the combination of cats and dogs that yields the highest total profit.

In order to make a reasonable recommendation, we can create a profit table based on different values of x and y:

x y Total Profit

0 0 0

1 0 6

0 1 15

1 1 21

2 1 27

1 2 30

2 2 36

3 2 42

2 3 45

3 3 51

From the table, we can see that the highest total profit is achieved when they accommodate 3 cats and 3 dogs. This combination would result in a daily profit of $51.

Therefore, my recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs.

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Given

To find

we know that

Inserting the value of radius

The output for the expression x+2 will be;

0 = 2

1 = 3

2 = 4

3 = 5

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.

Using the function Output = x + 2

For input x = 0

Output = 0 + 2

Output = 2

For input x = 1

Output = 1 + 2

Output = 3

For input x = 2

Output = 2 + 2

Output = 4

For input x = 3

Output = 3 + 2

Output = 5

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Answer:

2x + 5y + 15

Step-by-step explanation:

Step 1: Combine like terms

2x + 2y + 3(y + 5)

Step 2: Distribute

2x + 2y + 3y + 15

Step 3: Combine like terms

2x + 5y + 15

Answer: 2x + 5y + 15

Step-by-step explanation:

Which expression is equivalent to x + y + x + y + 3(y + 5)?

To solve this problem, we have to use combination which is a topic in statistics and it deals with the number of ways or arrangement in which and event can occur. the local dry cleaner can make them fill the roles in 210 ways.

In the given question, we have 10 candidates and 4 positions to be filled.

Data;

\(^1^0C_4 = 210\)

From the calculation above, the local dry cleaner can make them fill the roles in 210 ways.

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Answer: 300

Step-by-step explanation:

The total number of different large pizzas is 870

First, we need to identify the selections, and then the number of options for each of these selections.

Here we have two selections:

Such that the options are:

The total number of combinations is given by the product between the numbers of options, we will have:

C = 30*29 = 870

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Answer:

six!!! OBVIOUSLY BECUASE everything is made of dogs.

Step-by-step explanation:

lol sorry caps but it was kinda obvious ngl

Answer:

P=140cm

Step-by-step explanation:

P=2(l+w)

d=w2+l2

Solving forP

P=2w+2d2﹣w2=2·30+2·502﹣302=140cm

Hope This Kind of Helps

Answer: 140cm

P=2(l+w)  

P=2w+2d2﹣w2=2·30+2·502﹣302=140cm

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ \end{cases}\implies y=a(~~x-0~~)^2 + 0\hspace{4em}\textit{we also know that} \begin{cases} x=3\\ y=18 \end{cases} \\\\\\ 18=a(3-0)^2+0\implies 18=9a\implies \cfrac{18}{9}=a\implies 2=a \\\\\\ y=2(~~x-0~~)^2 + 0\implies \boxed{y=2x^2}\)

Answer:

20

Step-by-step explanation:

1/2x20=10

a) The slope of the linear function is given as follows: m = 40, meaning that each day, the balance of the account increases by $40.

b) The function is given as follows:

c) The function notation is given as follows: g(x) = 40x + 600.

d) The balance after 7 days is given as follows: $880.

From the table, when x increases by 3, g(x) increases by 120, hence the slope m is given as follows:

m = 120/3

m = 40.

Then the slope-intercept notation of the function is given as follows:

y = 40x + 600.

The remaining notations are:

Hence the balance after 7 days is given as follows:

g(7) = 40(7) + 600

g(7) = $880.

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Step-by-step explanation:

mean of 20 lb and a standard deviation of 9. If 9 fish are randomly selected,

what is the probability that the mean weight will be between 17.6 and 23.6

Ib? Write your answer as a decimal rounded to 4 places

Answer:

523.3 cm³

Step-by-step explanation:

Formula for the volume of a sphere :

Volume (sphere) = 4/3πr³

=============================================================

Given :

⇒ Diameter = 10 cm

→ Radius = 5 cm

===========================================================

Solving :

⇒ Volume = 4/3 × 3.14 × 5³

⇒ Volume = 4/3 × 3.14 × 125

⇒ Volume = 392.5 × 4/3

⇒ Volume = 1570/3

⇒ Volume = 523.3 cm³