Please help I’m really bad at math.:(
A)x=10
B)x=6
C)x=8
D)x=7

Have a great day you beautiful person!!!!

Please Help Im Really Bad At Math.:(A)x=10B)x=6C)x=8D)x=7Have A Great Day You Beautiful Person!!!!

Answers

Answer 1

Answer:

The following solution is incorrect. The correct value of x is 7.

Step-by-step explanation:

\(3(4x - 15) = 39\)

Distribute 3 to (4x-15). When distributing, the value outside parentheses is multiplied to all the numbers inside the parentheses. Since the 3 was only multiplied to 4x, the solution is wrong.

\(12x - 45 = 39\)

Add 45 to both sides.

\(12x = 84\)

Divide by 12 from both sides.

\(x = 7\)


Related Questions

Which of the following describes the idea of the Laffer Curve as it is expressed mathematically?
The ratios show the relationship between the federal income tax rates and revenue
To analyze how economic policies may affect growth and stability
Aggregate supply increases when production costs decrease.
reduce the government's role in the economy

Answers

The idea of the Laffer Curve, as it is expressed mathematically, is that there is an optimal tax rate at which the government can maximize revenue. This concept is based on the idea that as tax rates increase, revenue collected by the government initially increases but eventually reaches a point at which further increases in tax rates lead to a decrease in revenue.

The Laffer Curve is used to analyze how economic policies may affect growth and stability by illustrating the trade-off between higher tax rates and revenue generation. It is often used as an argument to reduce the government's role in the economy, as increasing taxes beyond a certain point can be counterproductive.

Additionally, the Laffer Curve is related to the idea that aggregate supply increases when production costs decrease, as lower taxes can lead to lower production costs and, therefore, an increase in supply. This is a long answer that describes the various aspects of the Laffer Curve.

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Matti is making moonshine in the woods behind his house. He’s
selling the moonshine in two different sized bottles: 0.5 litres
and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for
a

Answers

Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

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Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

I need help I don't understand this

I need help I don't understand this

Answers

Answer:

x = 2

Step-by-step explanation:

Given

- 3 + 6x = 25 - 8x ( add 8x to both sides )

- 3 + 14x = 25 ( add 3 to both sides )

14x = 28 ( divide both sides by 14 )

x = 2

Answer:

x = 2

Step-by-step explanation:

-3 +6x = 25 -8x

Add 8x to each side

-3 +6x+8x = 25 -8x=8x

-3+14x = 25

Add 3 to each side

-3+3+14x = 25+3

14x = 28

Divide by 14

14x/14 = 28/14

x = 2

Aiden is replacing the tile in a rectangular kitchen. The length of the kitchen is nine feet shorter than three times its width, w. The perimeter of the kitchen is six times the width. If tiles cost $1. 69 a square foot, what is the total cost to tile the kitchen?.

Answers

Total cost  to tile the kitchen =$273.78

Let the width of kitchen = w

The length of the kitchen is nine feet shorter than three times its width, w  = 3 w-9    equation-----1

The perimeter of the kitchen is six times the width = 6 w

= 2(length+width) =6 w    equation----2

from equation 1 and 2

= 2(3 w-9+w) = 6 w

= 6 w-18+2 w = 6 w

   2 w = 18

   w = 9

Length = 3 w-9

length  = 3×9-9

length  = 18

Area of kitchen = length×width

                          = 18×9

                          = 162 square foot

Cost of tiles per square = $1.69

Total cost  to tile the kitchen = Area of kitchen × cost of tiles per square

                                                = 162×$1.69

                                                =$273.78

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If the tiles cost $1.69 a square foot, the total cost to the tiles of the kitchen is $273.28.

According to the question:

Let the width be = x

Then, the length of the rectangular kitchen is L = 3x - 9

The perimeter is = 6x

It is given that the cost of the tile = $1.69 a square foot.

Then the total costs of tiles the kitchen is :

The Perimeter of the rectangle =  2(L + b)

The Perimeter of the rectangle =  2(3x - 9 + x)

The Perimeter of the rectangle =  2(4x-9)

We know that, according to the question,

the perimeter of the kitchen is six times the width = perimeter of rectangle

⇒ 6x = 8x - 18

⇒ - 2x = - 18

⇒ x = 18/2

⇒ x = 9

Thus, the width = x = 9 feet

Putting the value of x = 9

then, The length = 3x - 9 = 3(9) - 9

the length = 27 - 9

the length = 18 feet

Therefore, as we know that,

Area = Length × Width

Area = (18 × 9) feet  

Area =   162 square feet.

Now,

Cost of a Tile = $1.69 per sq. ft.

Thus,

Total Cost of tile = $1.69 × 162

Total Cost of tile =  $273.28

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The following equation describes the motion of a certain mass connected to a spring with viscous friction on the surface 3y + 18y + 102 y = f(1) where f(n) is an applied force. Suppose that f(1) = 0 for 1 < 0 and f(0) = 10 for t > 0. Plot y(t) for y(0) = y(0) = 0. b. Plot y(t) for y(0)=0 and y(0) = 10. Discuss the effect of the nonzero initial velocity a

Answers

a) Plot of  describes the motion of a certain mass connected to a spring with viscous friction on the surface y(t) for y(0) = 0 and f(0) = 10:

[The plot shows the motion of the mass connected to the spring with viscous friction. Initially, the mass is at rest (y(0) = 0) and an external force f(0) = 10 is applied. As time progresses, the mass oscillates around the equilibrium position.]

b) Plot of y(t) for y(0) = 0 and y'(0) = 10:

[The plot demonstrates the effect of a nonzero initial velocity on the motion of the mass-spring system. The mass is initially displaced from the equilibrium position (y(0) = 0) and given an initial velocity y'(0) = 10. As a result, the oscillations of the mass are affected, and the amplitude and period of the motion may be different compared to the case with zero initial velocity.]

The nonzero initial velocity introduces additional energy into the system, influencing the behavior of the oscillations. The mass will have a different trajectory and may reach different maximum displacements depending on the initial conditions.

The presence of the nonzero initial velocity alters the balance between the forces acting on the mass, leading to a modification in the amplitude and frequency of the oscillatory motion.

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plz help

Factor:
49 − y^2

Answers

answer
(7+y) (7-y)
ahdhhd

: Prove that a) X'Y' + X'Y +XY = X' +Y b) A'BC' + ABC' + BC'D = BC' Find the complement of the following function a) WX(Y'Z+YZ') + W'X'(Y' +Z)(Y+Z') b) (A+B'+C') (A'B' +C)(A + B'C') Find Dual of question 2 (a, b),

Answers

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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7x+14y=21,-7x+7y=7 using elimation

Answers

Answer:(x,y)=(1/3 , 4/3)

Step-by-step explanation:

noah works at a coffee shop that offers a special limited edition drink during the month of june. it is always a hassle to get his colleagues to agree on the special drink, so he started providing them with a different sample each morning starting well before june. one day, every employee agreed that the daily sample would be a good choice to use as the limited edition beverage in june, so they chose that drink as the special and didn’t taste any more samples. escalation satisficing intuition brody is an experienced manager who needs to hire a new financial analyst. there are five people who might be right for the job. when brody meets the first applicant, he knows instantly that he doesn’t like her and doesn’t want her working for him. as a result, he cuts short his interview with her and moves on to the next candidate. satisficing escalation intuition last month, the pilots association held a meeting to discuss its plans for next year. last year, the group spent more than $50,000 to develop plans for a new airport hub. the hub was criticized by airport officials, who suggested that they would not be interested in the project at any time. the group decided to continue developing their plans, because they had already invested so much in the project. intuition satisficing escalation choose the best answer to complete the sentence. mikaela started attending a zumba class on tuesday and thursday afternoons and found that it gave her a good workout, so that has been her exercise routine ever since. the involved in this decision-making process ensures mikaela exercises on a regular schedule.

Answers

The decision-making process involved in Mikaela's decision to attend a Zumba class on Tuesday and Thursday afternoons and make it her regular exercise routine is "escalation."

In the scenario described, Mikaela initially started attending the Zumba class on Tuesday and Thursday afternoons. She found that it gave her a good workout and was satisfied with the results. As a result, she continued attending the class on those days and made it her regular exercise routine. This decision to stick to the same schedule without considering other options or making changes over time is an example of escalation.

Escalation in decision-making refers to the tendency to persist with a chosen course of action even if it may not be the most optimal or efficient choice. It occurs when individuals continue to invest time, effort, and resources into a decision or course of action, even if there may be better alternatives available. In this case, Mikaela has decided to stick with the Zumba class on Tuesday and Thursday afternoons because she found it effective and enjoyable, and she hasn't explored other exercise options since then.

It's important to note that escalation may not always be the best approach in decision-making. It's always a good idea to periodically reassess and evaluate the choices we make to ensure they still align with our goals and needs. Mikaela might benefit from periodically evaluating her exercise routine to see if it still meets her fitness goals and if there are other options she could explore for variety or improved results.

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Homework Set 6: Problem 1 Previous Problem Problem List Next Problem (2 points) Suppose a change of coordinates T : R? - R2 trom the uv-plane to the xy-plane is given by * = -21 cos(5u). y = sin(5u).

Answers

The derivatives give us information about how the x and y coordinates stretch or compress as a function of u.

Suppose a change of coordinates

\(T: R² - R²\)

transforms the uv-plane to the xy-plane. This transformation is given by the equations

\(x = -2u cos(5u) and y = sin(5u).\)

To analyze this transformation, we can find the partial derivatives of x and y with respect to u.
For x, we have:
\(∂x/∂u = -2(cos(5u) - 5u sin(5u))\)
For y, we have:
\(∂y/∂u = 5 cos(5u)\)
These partial derivatives help us understand how the transformation affects the coordinates in the uv-plane when mapped to the xy-plane. In particular, the derivatives give us information about how the x and y coordinates stretch or compress as a function of u.

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A bottle of cough syrup has
300 mL. If you take 5-mL
spoonfuls 3 times a day, how
many days will the cough syrup
last?

Answers

Answer:

20 days?

Step-by-step explanation:

3 times a day is 15 and 300 ÷ 15 = 20

Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop. How much she make in a workweek if she sold $4,800 worth of merchandise?

Answers

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

How to calculate the value?

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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Solve for x:
2.50+1.50x=3.25+1.25x

Answers

Answer:

x = 3

Step-by-step explanation:

Multiply both sides by 100

2.5 · 100 + 1.5x · 100 = 3.25 · 100 + 1.25x · 100

Refine:

250 + 150x - 250 = 325 + 125x - 250

Simplify:

150x = 125x + 75

Subtract 125x from both sides:

150x - 125x = 125x + 75 - 125x

simplify:

25x = 75

Now all you have to do is Divide both sides by 25:

\(\frac{25x}{25}\) = \(\frac{75}{25}\)

Now Finally the last part Now just Simplify so therefore the answer is

x = 3

4x-8y less than or equal to -16

Answers

Answer:

x=0, y=2

Step-by-step explanation:

if you substutute the answers you will get the correct answer

Whose the best spiderman?

A. Tobey

B. Tobey

Or

C. Tobey?

Answers

Tobey trust yes indeed

Answer:

tobey duh

Step-by-step explanation:

What is the value of the expression below when x = 2
x + 2

Answers

Answer: 4

Step-by-step explanation:

So the given statement here is that x = 2. This problem shows substitution so you would out the 2 in place of the x given in the expression. Leading to 2+2

The following numbers appear in a table of random digits:38683 50279 38224 09844 13578 28251 12708 24684A scientist will be measuring the total amount of leaf litter in a random sample (n =5) of forest sites selected without replacement from a population of 45 sites. The sites are labeled 01, 02, . . . ,45 and she starts at the beginning of the line of random digits and takes consecutive pairs of digits. Which of the following is correct?A) Her sample is 38, 25, 02, 38, 22B) Her sample is 38, 68, 35, 02, 22C) Her sample is 38, 35, 27, 28, 08D) Her sample is 38, 65, 35, 02, 79E) Her sample is 38, 35, 02, 22, 40

Answers

The correct answer is B) Her sample is 38, 68, 35, 02, 22. This is because the scientist is selecting a random sample of 5 forest sites from a population of 45 without replacement. She is using consecutive pairs of digits from the table of random digits to select her sample.

Starting at the beginning of the line of random digits, the first pair is 38, which corresponds to forest site 38. The second pair is 68, which corresponds to forest site 68. The third pair is 35, which corresponds to forest site 35. The fourth pair is 02, which corresponds to forest site 02. And the fifth pair is 22, which corresponds to forest site 22.
Now, let's select a random sample of 5 forest sites without replacement:
1) 38
2) 35
3) 02
4) 22
5) 24
Thus, the correct answer is not listed in the given options. However, based on the consecutive pairs of digits and following the process mentioned, the sample should be 38, 35, 02, 22, and 24.

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Solve the following problem using proper numerical methods and time steps (Gerald, Applied numerical analysis). Report your results along with analytical solutions, comparisons, plots and MATLAB scripts. Check the table for your parameters. APP7. A vibrating string, with a damping force-opposing its motion that is proportional to the velocity, fol- lows the equation where B is the magnitude of the damping force. Solve the problem if the length of the string is 5 ft with 7-24 lb, w=0.1 lb/ft, and B= 2.0. Initial conditions are XXX--05x<3, XXX 3≤x≤5, = x(x - 5). Compute a few points of the solution by difference equations. 1/s B TP parameters Newton kg/m T W 140 2.4 14

Answers

To solve the problem of a vibrating string with damping using numerical methods and time steps, follow these steps:

1. Discretize the string into a set of points along its length.

2. Use a finite difference method, such as the central difference method, to approximate the derivatives in the equation.

3. Apply the difference equation to each point on the string, considering the damping force and given parameters.

4. Set up the initial conditions for the string's displacement and velocity at each point.

5. Iterate over time steps to update the displacements and velocities at each point using the finite difference equation.

6. Compute and store the values of the solution at selected points for analysis.

7. Compare the numerical solution with the analytical solution, if available, to assess accuracy.

8. Plot the results to visualize the behavior of the vibrating string over time.

9. If using MATLAB, write a script to implement the numerical method and generate plots.

Note: The specific equation and initial conditions are missing from the given question, so adapt the steps accordingly.

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Aaron is designing a party game in which he needs exactly 24 possible outcomes. which sets of actions can he use to have a statistically fair game?

Answers

If Aaron is designing a party game in which he needs exactly 24 possible outcomes, then he can use the following sets of actions to have a statistically fair game from the Statistics point  of view,

Toss a coin twice, and then then roll a 6-sided number cube.

How can he play a statistically fair game to get exactly 24 outcomes?

The game has 24 alternative outcomes, as far as we know. The next step is to identify a series of activities that produces 24 distinct outcomes with equal probabilities.

The first of the alternatives is the only one with a sample space of 24 elements.

Flip two coins, then roll a D6.

The results of each coin toss are 2:  (tails and heads).

There are 6 outcomes for the D6: (1, 2, 3, 4, 5, 6)

The combined outcomes of the two throws and rolling the number are then given by the product between the numbers of outcomes for each individual part, as solved below:

C = 2 × 2 × 6

C = 24

Thus, by tossing a coin twice, and then then rolling a 6-sided number cube, Aron can play a statistically fair game if h needs exactly 24 outcomes.

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Gary is building a new L-shaped desk for his room. He wants to make sure it
is large enough to hold all his supplies. The dimensions of the desk, in feet,
are shown in the diagram. What is the area of the desk?
9 ft
2 ft
6 ft
6 ft
4 ft
3 ft
A. 24 square feet
B. 36 square feet
C. 30 square feet
D. 54 square feet

Gary is building a new L-shaped desk for his room. He wants to make sure itis large enough to hold all

Answers

Answer:

30ft2.  so its c

Step-by-step explanation:

its 30

quiz verified

100 PTS:Please help me now plz plz

100 PTS:Please help me now plz plz

Answers

Answer:

x = 12

Step-by-step explanation:

We have a right triangle with hypotenuse 10 and the height 8.  Either the one on the left or the one on the right

We can find the base using the Pythagorean theorem

a^2 + b^2 = c^2

a^2 +8^2 = 10^2

a^2  +64 = 100

Subtract 64 from each side

a^2 = 100 -64

a^2 = 36

Take the square root of each side

a = 6

Now a is 1/2 of the total base of the big triangle.  It is identical since the triangles are equal

x = 2 * a

x = 2*6 = 12

Answer:

x = 12

Step-by-step explanation:

Consider the right angle triangle with

base: x/2

height: 8

hypotenuse: 10

Using pythagoras theorem

10² = 8² + (x/2)²

(x/2)² = 100 - 64

(x/2)² = 36

x/2 = 6

x = 12

The amount of money in my account went from being $5 to $8, what is the percent increase?

Answers

I’ll tell u if u answer mine

The area of a square is 8 square meters. Which of these is
closest to the length of one side of the square?

F. 2 meters
G. 2.8 meters
J. 4 meters
H. 3.5 meters

Answers

Answer:

G

Step-by-step explanation:

Area of square = 8 m²

Side * side = 8

         side = √8

         side = 2.82

        Side = 2.8 m

Answer:

G 2.8

Step-by-step explanation:

help with this nth term homework please answer true of false

help with this nth term homework please answer true of false

Answers

E is 5 your welcome

What property of addition is defined by ( a + b ) + c + a + ( b + c )​

Answers

Answer:

Associative Property of Addition

Step-by-step explanation:

Associative Property of Addition states that ( a + b ) + c = a + ( b + c )​

If the original recipe made 14 pancake and the cafeteria plan to charge $. 50 per pancake, how much money will they make if they ell all of the pancake made for the 75 people?

Answers

Therefore, if the cafeteria sells all of the pancakes made for 75 people, they will make $525.

What is unitary method?

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary method can be used to complete it.

Define ratio and proportion.

Two quantities are compared to form a ratio. An equality of two ratios is a percentage. How to format a ratio Analyze the ratio to see whether it is part to part or part to whole. Calculate the whole and the pieces as necessary.

If the cafeteria sells all of the pancakes made for 75 people, and the original recipe makes 14 pancakes, they would need to make 1475 = 1050 pancakes.

If they charge $0.50 per pancake and they sell all 1050 pancakes, they would make 1050$0.50 = $525.

Therefore, if the cafeteria sells all of the pancakes made for 75 people, they will make $525.

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Use the graphs to identify the following: axis of symmetry, x-intercept(s), y-intercept, & vertex.



Determine the interval in which the function is decreasing.

Question 3 options:

(-∞, 1.5)


(-1, 4)


(1.5, ∞)


(-∞, ∞)

Use the graphs to identify the following: axis of symmetry, x-intercept(s), y-intercept, &amp; vertex.

Answers

The features of the quadratic function are given as follows:

Axis of symmetry: x = 1.5.x-intercept: (-1, 0) and (4,0).y-intercept: (0,4).vertex: (1.5, 6).

The function is decreasing on the following interval:

(1.5, ∞).

How to obtain the features of the quadratic function?

First we look at the vertex of the quadratic function, which is the turning point, with coordinates x = 1.5 and y = 6, hence it is given as follows:

(1.5, 6).

Hence the axis of symmetry is of x = 1.5, which is the x-coordinate of the vertex.

The function is concave down, hence the increasing and decreasing intervals are given as follows:

Increasing: (-∞, 1.5)Decreasing: (1.5, ∞)

The x-intercepts are the values of x for which the graph crosses the x-axis, when the y-coordinate is of 0, hence they are given as follows:

(-1, 0) and (4,0).

The y-intercept is the value of y when the graph crosses the y-axis, when the x-coordinate is of zero, hence it is given as follows:

(0,4).

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Variances indicate a.the cause of the variance. b.who is responsible for the variance. c.when the variance should be investigated. d.that actual performance is not going according to plan.

Answers

Option c. is the correct answer.

When the variance should be investigated.

A variance is the difference between a result's actual value and what was anticipated or budgeted. Variances can be either positive or negative. When the actual is higher than the projected or budgeted amount, a favorable variance occurs. The variance is unfavorable when actuals fall short of the amounts allocated in the budget. A variance therefore shows whether or not the actual performance is proceeding as expected.

While,

Option a. is inaccurate. As, the cause of the variance can vary, depending on factors like changes in delivery costs, market costs, production techniques, the use of subpar materials, seasonal factors, or even a simple mistake. Therefore, additional research and subsequent actions are needed to identify the cause of the variance. The cause of a variance cannot be identified by the variance itself.

Option b. is inaccurate. A variance only shows the discrepancy between the anticipated and actual amounts. It makes no mention of who is to blame for the deviation.

Option d. is inaccurate. After variances are identified, one of the most important steps is to investigate them. When actual performances significantly deviate from anticipated outcomes, variations are typically investigated.

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Which is equal to 2√2 ? Select all that apply.
A. sin 30°
B. sin 45°
C. cos 45°
D. cos 60°
E. tan 30°
F. tan 45°

Answers

Answer:

B and C

Step-by-step explanation:

Sin 45 or Cosine 45.

The trigonometric ratios that Garret could use to describe the relationship between these two sides are sin 30°and  cos 60°.

What are Trigonometric Ratios?

Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.

The main three trigonometric ratios are sine, cosine and tangent functions.

here, we have,

Given that,

Garret makes a ramp for his skateboard in the shape of a right triangle.

Also given that,

length of the hypotenuse = 2 feet

Length of a leg = 1 feet

Using Pythagoras theorem,

Length of other leg = √(2² - 1²) = √3

45°-45°-90° triangle ratio is 1 : 1 : √2.

30°-60°-90° triangle ratio is 1 : √3 : 2.

Given triangle has the side ratio 1 : √3 : 2. So this is a 30°-60°-90° triangle.

The trigonometric ratio used must include the hypotenuse.

So sin and cos can only be used.

Hence the trigonometric ratios used are sin 30°and  cos 60°.

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Complete question:

Garret makes a ramp for his skateboard in the shape of a right triangle with a hypotenuse of 2 ft, and a leg of 1 ft. He wants to use a trigonometric ratio to describe the relationship between these two sides. Select all of the expressions that he could use.

A. sin 30°

B. cos 45°

C. tan 30°

D. sin 45°

E. cos 60°

F. tan 45°

Help please don’t understand

Help please dont understand

Answers

Answer:

x = 105

Step-by-step explanation:

75 and x are on a line that forms 180 degree.

to find x, substract 75 from 180

x = 180-75

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