(1,-4), ( 3,-7), (-3,4)

Answer: The answer is 34 degrees.

Step-by-step explanation: Angle 1 and angle 5 are the same.

Answer:

x = 0, y = -3

Step-by-step explanation:

plug in x as y + 3 into the first equation

6(y+3) - 5y = 15

6y+18 - 5y = 15

y = -3

x= 0

The revenue from hedging minus the revenue from not hedging receivables can be calculated by considering the net exposure to the Malaysian ringgit, the forward rate, and the probabilities of different exchange rate outcomes.

To calculate the revenue from hedging minus the revenue from not hedging receivables, we need to compare the outcomes of hedging versus not hedging in terms of the exchange rate.

If Money Corp. hedges its receivables, it will lock in the forward rate of $.23 for the net exposure of MYR1,500,000. Therefore, the revenue from hedging will be:

Revenue from Hedging = Net Exposure * Forward Rate = MYR1,500,000 * $.23

To calculate the revenue from not hedging, we consider the probabilities associated with each exchange rate outcome. The expected revenue from not hedging is calculated by multiplying each possible value by its corresponding probability and summing the results:

Expected Revenue from Not Hedging = (Revenue at $.20 * Probability of $.20) + (Revenue at $.25 * Probability of $.25)

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Answer:

18

Step-by-step explanation:

Answer: I think it may be 18.

Step-by-step explanation: The reason is because, 118 plus 44 equals 162. 180-162=18

Answer:

y= 128(1-.5)^t

Step-by-step explanation:

The total surface area painted is 644.16 square inches.

Let the radius of the cylindrical rod be r. The circumference of the base is given as 12π, which can be converted to the diameter as:

diameter = circumference / π = 12π / π = 12 inches.

So, the radius of the cylindrical rod is half of that. That is 6 inches.

The area of one base of the cylindrical rod can be calculated as π \(r^2\), which is:

π * \(6^2\) = 3.14 * 36 = 113.04 square inches.

The surface area of one-half of the cylindrical rod can be calculated by:

2 * π * r * l + 2 * π * \(r^2\), where l is the length of the rod.

Since the length of the rod is 4 inches, the surface area of one-half of the cylindrical rod can be calculated by:

2 * π * 6 * 4 + 2 * 113.04 = 96 + 226.08 = 322.08 square inches.

Given that two equally sized pieces are cut, the total surface area painted would be 2 * 322.08 = 644.16 square inches.

Therefore, the total surface area painted is 644.16 square inches.

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The answer is approximately 2.2198, which is option (b).

To evaluate log13(297) using the change-of-base formula, we can express it in terms of a logarithm with a base that we can easily calculate, such as the common logarithm (base 10) or the natural logarithm (base e).

Let's use the common logarithm:

log13(297) = log10(297) / log10(13)

We can use a calculator to find the decimal approximations of log10(297) and log10(13), and then divide them to get the final answer:

log13(297) ≈ 2.2198 (rounded to 4 decimal places)

Therefore, the answer is approximately 2.2198, which is option (b).

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The ordered pair given in the bottom row can be written using function notation as f(9)=5 thus, option (A) is correct.

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given,

At x = 9 , f(x) = 5 or f(9) = 5

Hence "The ordered pair given in the bottom row can be written using function notation as f(9)=5".

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The density of glycerin at 60°C is approximately 19.9592 g/cm³.

To find the density of glycerin at 60°C, we can use the volume expansion coefficient and the given density at 20°C.

The formula for volume expansion is:

ΔV = β * V₀ * ΔT

where:

ΔV is the change in volume,

β is the volume expansion coefficient,

V₀ is the initial volume, and

ΔT is the change in temperature.

In this case, we want to find the change in density, so we can rewrite the formula as:

Δρ = -β * ρ₀ * ΔT

where:

Δρ is the change in density,

β is the volume expansion coefficient,

ρ₀ is the initial density, and

ΔT is the change in temperature.

Given:

ρ₀ = 20 g/cm³ (density at 20°C)

β = 5.1 x 10⁻⁴ °C⁻¹ (volume expansion coefficient)

ΔT = 60°C - 20°C = 40°C (change in temperature)

Substituting the values into the formula, we have:

Δρ = - (5.1 x 10⁻⁴ °C⁻¹) * (20 g/cm³) * (40°C)

Calculating the expression:

Δρ = - (5.1 x 10⁻⁴) * (20) * (40) g/cm³

≈ - 0.0408 g/cm³

To find the density at 60°C, we add the change in density to the initial density:

ρ = ρ₀ + Δρ

= 20 g/cm³ + (-0.0408 g/cm³)

≈ 19.9592 g/cm³

Therefore, the density of glycerin at 60°C is approximately 19.9592 g/cm³.

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108 lineal feet are there in 9 pieces of 2 x 10 lumber that are each 12 feet long. so, the correct answer is Option 2.

Here, we have,

given that,

there in 9 pieces of 2 x 10 lumber that are each 12 feet long

so, we get,

The total number of pieces = 9

The length of each 2 x 10 lumber = 12 feet

(2 x 10 represents the thickness and width of the lumber piece, respectively)

The total lineal feet

= The total number of pieces × The length of each 2 x 10 lumber

= 9 × 12

= 108 feet

Hence, the correct answer is Option 2.

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Use statistical software or a calculator that allows for probability calculations. There are various options available such as Excel, SPSS, or online probability calculators.

To calculate the probability using technology, follow these steps:

Gather the values identified in previous steps that are required for the calculation.
Use statistical software or a calculator that allows for probability calculations. There are various options available such as Excel, SPSS, or online probability calculators.

Enter the necessary values into the software or calculator. These values will depend on the specific problem you are working on, such as the number of favourable outcomes and the total number of possible outcomes.

Follow the instructions provided by the software or calculator to compute the probability.

Most tools will have specific functions or formulas to calculate probabilities based on different scenarios (e.g., binomial, normal distribution, etc.).

Round the resulting probability to three decimal places as instructed.

By using technology and the values from previous steps, you can accurately calculate the probability by following these steps.

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The  difference between addition and subtraction of polynomials is that addition involves like terms  and subtraction  involves taking one polynomial away from another.

A polynomial is characterized as an expression that is composed of variables, exponents, and constants, that are combined utilizing numerical operations such as addition, subtraction, multiplication, and division (No division operation by a variable).In addition to polynomials, the like terms are included whereas, in subtraction, the like terms are subtracted. The addition of polynomials involves combining like terms to form a single expression, while subtraction involves taking one polynomial away from another. In addition, when subtracting polynomials, the sign of each term in the second polynomial needs to be changed (from positive to negative, or from negative to positive).

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If set of ordered pairs (1,8.50) , (3,25.50) , (5,42.50) , (6,51) , (7,59.50) represents cost of tickets for school play , it means that the function that represents the relationship between the number of tickets and the cost for ticket is  \(y = 8.5\times x\) .

The Ordered Pairs are given as : (1,8.50) , (3,25.50) , (5,42.50) , (6,51) , (7,59.50) ;

the input represents the number of ticket and

the output represents the total cost of number of tickets ,

So , the domain is = { 1 , 3 , 5 , 6 , 7 } ;

and the range for this function is = {8.50 , 25.50 , 42.50 , 51 , 59.50 } ;

Considering the first pair ,

when the number of ticket is 1 , then the cost is 8.50 ,

for second pair when the number of ticket is 3 , then the cost is 25.50 ;

So , we can say that the cost of 1 ticket is = 8.50 ;

if x represents number of tickets , and y represents the cost for that tickets , then  function that can represent given situation is \(y = 8.5\times x\) .

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The slope of the line is 2.4 / 3.

The slope of a line is the change in the dependent variables with respect to the change in the independent variables.

In other words, the slope of a line is the change in y with respect to the change in x.

Therefore,

slope of the line = y₂ - y₁ / x₂ - x₁

Hence, (4, 1.2)(10, 6)

x₁ = 4

x₂ = 10

y₁ = 1.2

y₂ = 6

Therefore,

slope of the line = 6 - 1.2 / 10 - 4

slope of the line = 4.8 / 6

slope of the line = 2.4 / 3

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I probably think it is 4/2

Answer:

8

Step-by-step explanation:

56 = 1, 56; 2, 28; 4, 14; 7, 8

48 = 1, 48; 2, 24; 3, 16; 4, 12; 6, 8

32 = 1, 32; 2, 16; 4, 8

Answer:

5(k + 1) and 5k + 5

Step-by-step explanation:

The easiest way to do this is to pick any number to substitute in for the variable k for ALL of the expressions, and find the expressions that equal the same as the first expression being compared.

For example, lets just make k equal 1 to make things easy. Plug 1 into k into the first expression. 2k + 2 + k + 3 + 2k → 2(1) + 2 + (1) + 3 + 2(1) = 10.

Now we do the same to the rest of the expressions and see which ones ALSO equal 10.

5(k + 1) → 5(1 + 1) = 10

5k + 5 → 5(1) + 5 = 10

5 + k^5 → 5 + (1)^5 = 6

5k^5 → 5(1)^5 = 5

Monetarists believe that velocity changes in a predictable way, and they also believe that aggregate supply depends on the money supply and velocity.

Monetarists, who follow the economic theories of monetarism, hold several key beliefs about the relationship between money and the economy. Firstly, they argue that velocity, which represents the speed at which money circulates in the economy, changes in a predictable manner. Monetarists believe that changes in the money supply and velocity directly affect economic output and price levels.

Secondly, monetarists assert that aggregate supply, which represents the total quantity of goods and services produced in an economy, depends on both the money supply and velocity. According to this viewpoint, changes in the money supply and velocity can impact the productive capacity of an economy, leading to shifts in aggregate supply.

Lastly, monetarists contend that the short-run aggregate supply (SRAS) curve is upward sloping. This means that in the short run, an increase in the price level will result in a higher level of output supplied by firms. Monetarists argue that this relationship is influenced by the behavior of firms and workers, who adjust their production and wage expectations based on changes in the price level.

In summary, monetarists believe that velocity changes in a predictable manner, and they argue that both the money supply and velocity affect aggregate supply. They also assert that the short-run aggregate supply curve is upward sloping, implying that price level changes can impact output levels in the short term.

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Answer:

(0,3)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

2.00 divided by 3 is about 0.667. So that 0.667 times 2 pounds of potatoes is about 1.34.

The polynomial function f(x)=x²(x+2) in terms of end behavior approaches positive infinity as x approaches positive and negative infinity, the x-intercepts are at x = 0 and x = -2, the y-intercept is at the origin, the zeros are x = 0 (with multiplicity 2) and x = -2, there can be a maximum of 2 turning points.

a) The end behavior of the graph of the function is y approaches positive infinity as x approaches positive infinity and y approaches positive infinity as x approaches negative infinity.

b) The x-intercepts of the graph occur when f(x) = 0, which are x = 0 and x = -2. The y-intercept occurs when x = 0, which is y = 0.

c) The zeros of the function are x = 0 (with multiplicity 2) and x = -2. The lesser zero of multiplicity 2 means the graph touches the x-axis at x = 0. The greater zero of multiplicity 1 means the graph crosses the x-axis at x = -2.

d) The maximum number of turning points on the graph of the function is 2 (a whole number).

e) Graphing the function would require plotting points and connecting them to form the graph, taking into account the x-intercepts, y-intercept, end behavior, and turning points.

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Step-by-step explanation:

integral from 0 to 2pi of cos3x

(sin3x)/3 from 0 to 2 pi

sin 6pi /3 - sin 0 /3 = 0

Answer:

Step-by-step explanation:

Given:

61% of people own dogs.

So,

Probability of one person having dog

=61/100

=0.61

If we choose two people randomly the probability of one person having a dog is 0.61. Also the two events are independent of each other.

So the probability of the second person choosing a dog will also be 0.61.

*P(A AND B) = P(A) × P(B)*

Probability of both having a dog is,

P(A∩B) =0.61 × 0.61

= 0.3721

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Answer: \(64\ ft^3\)

Step-by-step explanation:

Given

The dimension of the box is

\(\text{width w=}8\ ft\\\text{height h=}2\ ft\\\text{length l=}4\ ft\)

Space occupied by the box is equal to its volume i.e.

\(\Rightarrow V=l\times b\times h\\\Rightarrow V=4\times 8\times 2\\\Rightarrow V=64\ ft^3\)

The volume of the box is \(64\ ft^3\).

Answer:

(x,y)>(x+4,y-3)

Step-by-step explanation:

set up is (x,y)>(x+a,y+b)

a=left and right

b=up and down

positive= left or up

negative= right or down

Answer:

It is =

Step-by-step explanation:

Because (6 x 1 = 6 ) + 1  x 1/100 = 6.1  

Answer:

n/-2 ≥ 10

Hope this helps!

The one that will be the best design of the units of stem and leaf for a stem-and-leaf display is 1's for stem unit and 0.1's for leaf unit (option b).

In this case, we are given a set of sample data and asked to determine the best design for the units of stem and leaf. We are given four options: 100's for stem unit and 10's for leaf unit, 1's for stem unit and 0.1's for leaf unit, 10's for stem unit and 1's for leaf unit, and 1000's for stem unit and 100's for leaf unit.

Option b) uses 1's for the stem unit and 0.1's for the leaf unit. This design would work well if the data had a small range and many values, which is the case here. Using 1's for the stem unit and 0.1's for the leaf unit would result in a compact and easy-to-read display, with each stem having only a few leaves.

Therefore, option b) is the best design for the units of stem and leaf for this set of data.

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Complete Question:

Here is a set of sample data:

1009.85 1587.04 1984.87 2281.95 2337.80 2994.27 3554.64 3748.54 4487.25 4533.82 4559.06 4882.61 4951.68 4995.65 6428.17 6658.12 6789.12 7009.47

Which one will be the best design of the units of stem and leaf for a stem-and-leaf display?

a) 100's for stem unit and 10's for leaf unit

b) 1's for stem unit and 0.1's for leaf unit

c) 10's for stem unit and 1's for leaf unit

d) 1000's for stem unit and 100's for leaf unit

Answer: Willis will take 3 hours to paint the room by himself.

Step-by-step explanation:

Given: Time taken by James to complete job by himself = 6 hours

Let Time taken by Willis to complete job by himself = t hours

Together they take 2 hours.

\(\dfrac{1}{6}+\dfrac{1}{t}=\dfrac{1}{2}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{1}{6}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3-1}{6}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{2}{6}\\\\\Rightarrow\ t=\dfrac{6}{2}\\\\\Rightarrow\ t=3\)

So,  Willis will take 3 hours to paint the room by himself.

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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