(Use the Distributive Property to find an equivalent expression)
15x-30y?

Answer: 41/20

Step-by-step explanation:

3/8+(-3/8)=0

4/5+5/4=16/20+25/20

16/20+25/20=41/20

41/20

To find the optimal solution for the given linear program using the graphical solution procedure, we start by graphing the feasible region determined by the constraints.

The constraints are:

1A + 2B ≤ 8

5A + 3B ≤ 15

A ≥ 0

B ≥ 0 By plotting the lines corresponding to these constraints and shading the region that satisfies all the inequalities, we can identify the feasible region.Next, we need to determine the objective function's value at the vertices of the feasible region. The objective function is Max 5A + 9B, which represents the value we want to maximize.

We evaluate the objective function at each vertex of the feasible region and determine the vertex that yields the maximum value. The vertex with the highest objective function value represents the optimal solution.Calculating the objective function at each vertex and comparing the values, we can determine optimal solution and its corresponding objective function value.

However, since I am unable to provide visual aids or perform graphical calculations in this text-based format, I recommend using graphing software or manually graphing the feasible region to determine the optimal solution and its corresponding objective function value.

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Answer:

Step-by-step explanation:0.04

A. The power of the two-tailed hypothesis test with α = .05 is 0.53.

B. The power of the one-tailed hypothesis test with α = .05 is 0.95.

A hypothesis test is used to make decisions about a population based on sample data. It involves specifying a null hypothesis, collecting data, and then assessing the data to either reject or accept the null hypothesis.

A. The power of the two-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- (1-α)\(^{1/2}\)

=1- (1-0.05)\(^{1/2}\)

=0.525

=0.53

This means that the researcher has an 53% chance of correctly rejecting the null hypothesis that there has been no change in the IQ over the past 10 years.

B. The power of the one-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- α

=1- 0.05

= 0.95

This means that the researcher has a 95% chance of correctly rejecting the null hypothesis that there has been no increase in the IQ over the past 10 years.

This is a higher power than the two-tailed test because the one-tailed test focuses on detecting an increase in the IQ, while the two-tailed test can detect both an increase or decrease in the IQ.

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The multiplication rule is used to calculate joint probability.

Joint probability is the probability of two events happening simultaneously. The multiplication rule states that the probability of two independent events happening together is equal to the product of their individual probabilities.

The formula can be expressed as: P(A and B) = P(A) x P(B). For example, if the probability of event A is 0.3 and the probability of event B is 0.4, then the joint probability of both events happening together is 0.3 x 0.4 = 0.12. The multiplication rule is only applicable for independent events, meaning that the occurrence of one event does not affect the probability of the other event.

When events are dependent, the calculation of joint probability is more complicated and may involve conditional probability.

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The area of the given shaded part is 72.665 cm².

We have,

The figure is a cyclic rectangle.

Now,

Using the Pythagorean theorem,

Dimater² = 5² + 12² = 25 + 144 = 169 = 13

Diameter = 13 cm

Radius = 13/3 = 6.5 cm

The area of the circle.

= πr²

= 3.14 x 6.5 x 6.5

= 132.665 cm²

And,

The area of the rectangle.

= 5 x 12

= 60 cm²

Now,

The area of the shaded region.

= Circle's area - Rectangle's area
= 132.665 - 60

= 72.665 cm²

Thus,

The area of the given shaded part is 72.665 cm².

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Answer:

m<8 = m<2, both are equal since they are alternate exterior angles.

m<2 = 55° given, so m<8 = 55°

Answered by GAUTHMATH

The value of x and y in the system of equations -2x+2y=-4 and 3x+3y=-18 is -1 and y is -5 respectively.

Coordinate geometry is defined as the study of geometry using coordinate points.

Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.

Given that:

The system of equations is

-2x+2y=-4.....(i)

3x+3y=-18.....(ii)

From equation (i)  by simplifying,

we get

x = y + 4....(iii)

Put the value of x in equation (ii),

We get

3x + 3y = -18

By taking common 3 on both sides we get

x + y = -6

y + 4 + y = - 6

2y = -10y

y = -5

Put the value of y in equation (iii),

We get

x = y + 4

x = -5 + 4

x = -1

Therefore, the value of x and y in the system of equations -2x+2y=-4 and 3x+3y=-18 is -1 and y is -5 respectively.

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Answer:

2134

Step-by-step explanation:

Answer:

Its not what the first person said its 321

Step-by-step explanation:

First you multiply the stuff in the parenthesis which gets you 125-30 in the parenthesis

Then you multiply 3 to 125 and 30 to get 375-90

Multiply 4 and 3 to the second power which is 9 and you will get

375-90+36 and you will subtract 375 and 90 to get 285 then add 36 to get the final answer of 321

I am not 100% sure this is right but you can try it

Answer:

They will at the same height of 80cm at 12 months.

Step-by-step explanation:

Sapling A:

y = 10/3x + 40

Sapling B:

y = 5x + 20

Set the equations to equal each other.

10/3x + 40 = 5x + 20

10/3x - 5x = 20 - 40

10x - 15x = 60 - 120

-5x = -60

x = 12

Sub x = 12 into one of the two equations (It doesn't matter which one you choose)

y = 5(12) + 20

y = 80

option is C. The market price of the bonds is more stable than the price of the company's stock.

The relative risk between investing in stocks and bonds can be described in the scenario given. Sam invested in Grath Oil by buying three of its $1,000 par value bonds at a market price of 93.938 with an annual coupon rate of 6.5% and also bought 450 shares of Grath Oil stock at $44.11.

The stock has paid an annual dividend of $3.10 for each of the last ten years. Today, Grath Oil bonds have a market rate of 98.866 and Grath Oil stock sells for $45.55 per share.

Both bonds and stocks have their own set of risks. Bonds carry a lesser risk than stocks, but they may offer lower returns than stocks. Stocks carry more risk than bonds, but they may offer higher returns than bonds. Sam bought three of Grath Oil's $1,000 par value bonds at a market price of 93.938 with an annual coupon rate of 6.5%.

Today, Grath Oil bonds have a market rate of 98.866. This means that the value of the bonds has increased. On the other hand, the price of the company's stock has increased from $44.11 to $45.55 per share.

Hence, the relative risk between investing in stocks and bonds can be explained by the scenario above. The market price of the bonds is more stable than the price of the company's stock.

The amount of money received annually in interest (on the bonds) and in dividends (on the stocks) depends on the current market prices. So, the correct option is C. The market price of the bonds is more stable than the price of the company's stock.

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Answer:

Y= 12.50 x + 2.00

To estimate the number of sandwiches the deli manager should anticipate selling when 178 customers visit the deli, we can analyze the given data and approximate it using a linear function.

By observing the table, we notice that the number of sandwiches sold varies with the number of customers. This indicates a relationship between the two variables.

To estimate the number of sandwiches, we can fit a line to the data points and use the linear function to make predictions. Using a statistical software or a spreadsheet, we can perform linear regression analysis to find the equation of the best-fit line. However, since we are limited to text-based interaction, I will provide a general approach.

Let's assume the number of customers is the independent variable (x) and the number of sandwiches is the dependent variable (y). Using the given data points, we can calculate the equation of the line.

After calculating the linear equation, we can substitute the value of 178 for the number of customers (x) into the equation to estimate the number of sandwiches (y).

Please provide the data points for the number of sandwiches sold corresponding to each number of customers so that I can perform the linear regression analysis and provide a more accurate estimate for you.

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The expression for 60 decreased by twice Jenny's score 60 - 2x.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

Let Jenny's score be x.

Twice Jenny's score will be 2x.

Therefore, the expression will be:

= 60 - 2x

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Answer:

1000 cm3

Step-by-step explanation:

GEOMETRY AND MATH

Cindy S. asked • 10/03/16

The volume of a cube is related to the area of a face by the formula V= A^3/2. What is the volume of a cube whose face has an area of 100 cm^2?

The volume of a cube ir related to the area of a face by the formula V=A^3/2. What is the volume of a cube whose face has an area of 100cm^2? the question is a geometry it has to do with math it's a 10th grade question it deals with fraction geometrical backgrounds

and it deals with geometry and formulas a from 1.3 to 1.3 A=0 V= a over 2 it has two varieties of math geometry and math

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By:

Adam V. answered • 10/03/16

TUTOR 4.9 (19)

Professional Software Engineer, over 10 years work experience!

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We have V=A3/2

We know that A = 100cm2, so just plug the area into the equation:

V = 1003/2

= 1002/2 * 1001/2

= 100 * √(100)

= 100 * 10 = 1000 cm3

Therefore, the area is 1000cm3

-----

Another way to solve the problem is to figure out what the side length is from the area. Since the area is 100cm2, and we know that area of a cube face is s2 (where s is the length of the side), we can figure out the side length first like this:

s = √(100cm2)

s = 10cm

Then we can calculate volume using V = s3 = 1000 cm3

Answer:

1000cm³

Step-by-step explanation:

So if you have a cube with sides all the same, which is ten because if the face is 100 two of the same number should multiply to mame that as it should be even because it is a cube. You then multiply a base line and a vertical line to get the face which is 100. Then multiply it by the base length on the next face as it will push through showing the volume

Answer:

15

Step-by-step explanation:

x+(x+1)+(x+2)= 48

=)3x+3=48

=)3x=45

X=15

The smallest of the integers would be 15.

The consecutive numbers are those numbers that follow each other continuously in the order from smallest to largest numbers.

Given that the sum of 3 consecutive integers is 48.

We need to find the smallest of the integers.

Let assume the 3 consecutive integers are x, (x+1) and (x+2)

Therefore, x+(x+1)+(x+2)= 48

Combine the like terms;

3x+3=48

3x=45

X=15

Hence, the smallest of the integers would be 15.

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The production function is used to examine the relationship between inputs and outputs.

The production function is a fundamental concept in economics that represents the relationship between inputs and outputs in the production process. It helps us understand how much output can be produced with a given set of inputs.

In the production process, inputs such as labor, capital, raw materials, and technology are combined to produce goods or services. The production function captures the quantitative relationship between these inputs and the resulting output. It provides a framework to analyze how changes in input levels affect the output level.

The production function typically takes the form of a mathematical equation or a graphical representation. It shows how the quantity of output depends on the quantities of various inputs used in the production process.

By studying the production function, economists can analyze factors such as efficiency, productivity, and technological progress. It helps firms make decisions regarding the optimal combination of inputs to maximize output or minimize costs. Additionally, it allows policymakers to assess the impact of policies on production and economic growth.

Therefore, the production function primarily focuses on examining the relationship between inputs and outputs, rather than supply and demand, producers and consumers, or price and cost.

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Answer:To evaluate the exponential expression 6(4+2)² - 32, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, we simplify the expression inside the parentheses:

4 + 2 = 6

Next, we square the result:

6² = 36

Now, we substitute the squared result back into the expression:

6(36) - 32

Next, we perform the multiplication:

6 * 36 = 216

Finally, we subtract 32:

216 - 32 = 184

Therefore, the value of the given exponential expression 6(4+2)² - 32 is 184.

The probability that the cycle time exceeds 65 minutes if it is known that the cycle time exceeds 60 minutes is 0.25 .

What is probability?
The possibility or chance of an event happening is commonly believed to be the probability of it happening. In the most basic scenarios, the probability that a specific event 'A' will occur as a result of an experiment is calculated by dividing the number of ways that 'A' can happen by the total number of possible outcomes.
P(A) = Number of events concerning 'A' / Total events in consideration.

A highway construction site's cycle time for trucks transporting concrete is evenly spread over the range of 50 to 70 minutes, thus a = 50 and
b = 70
f(x) = 1/[b - a] = 1/[70 - 50] = 1/20 = 0.05, thus a uniform distribution.
Let P(cycle time is less than 65 minutes if it is known that the cycle time exceeds 55 minutes) be:
P(60 < X < 65) = ₆₀∫⁶⁵ f(x) dx =  ₆₀∫⁶⁵ (0.05) dx = 0.05*[65 - 60] = 0.05*5
= 0.25
Thus, the probability that the cycle time exceeds 65 minutes if it is known that the cycle time exceeds 60 minutes is 0.25 .

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Answer:

88 blankets

Step-by-step explanation:

5 times 15 = 75

75 + 13 = 88

Hey there!

a = 5 ; b = 2

Option A.

a + b

= 5 + 2

= 7

Option B.

a - b

= 5 - 2

= 3

Option C.

2a + 3b

= 2(5) + 3(2)

= 10 + 6

= 16

Option D.

5a - b

= 5(5) - 2

= 25 - 2

= 23

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The equation are given as

1. The equation is given as

The answer is

2. The equation is given as

The answer is

Using proportions, considering that they spent $n to buy the ticket, each friend received an amount in dollars of \(\frac{n}{3}\).

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we consider that they spent $n to buy the ticket. Since there are 3 friends and the amounts were divided evenly, each friend received an amount in dollars of \(\frac{n}{3}\).

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Answer:

y=kx

Step-by-step explanation:

For this example it would be \(y=\frac{72}{2} x\\\) or y=36x

Answer:

The green beans cost more per lbs.

Step-by-step explanation:

Tomatoes

$4.80 for 3lbs

4.80/3 = $1.60 per lb

Green Beans

$13 for 5lbs

13/5 = $2.60 per lb

Answer:

what the answer

Step-by-step explanation:

The angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\)\) is \(\(2\arctan(2)\),\) which is approximately 1.107 radians or 63.43 degrees.

To determine the angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\),\) we can follow these steps:

1. Express \(\(z_0\)\) in polar form: To find the polar form of \(\(z_0\)\), we need to calculate its magnitude \((\(r_0\))\) and argument \((\(\theta_0\))\). The magnitude can be obtained using the formula \(\(r_0 = |z_0| = \sqrt{\text{Re}(z_0)^2 + \text{Im}(z_0)^2}\)\):

\(\[r_0 = |2i + 1| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}\]\)

  The argument \(\(\theta_0\)\) can be found using the formula \(\(\theta_0 = \text{arg}(z_0) = \arctan\left(\frac{\text{Im}(z_0)}{\text{Re}(z_0)}\right)\)\):

\(\[\theta_0 = \text{arg}(2i + 1) = \arctan\left(\frac{2}{1}\right) = \arctan(2)\]\)

2. Find the polar form of \(\(w\)\): The polar form of \(w\) can be expressed as \(\(w = |w|e^{i\theta}\)\), where \(\(|w|\)\) is the magnitude of \(\(|w|\)\) and \(\(\theta\)\) is its argument. Since \((w = z^2\)\), we can substitute z with \(\(z_0\)\) and calculate the polar form of \(\(w_0\)\)using the values we obtained earlier for \(\(z_0\)\):

 \(\[w_0 = |z_0|^2e^{2i\theta_0} = \sqrt{5}^2e^{2i\arctan(2)} = 5e^{2i\arctan(2)}\]\)

3. Determine the argument of \(\(w_0\):\) To find the argument \(\(\theta_w\)\) of \(\(w_0\)\), we can simply multiply the exponent of \(e\) by 2:

  \(\[\theta_w = 2\theta_0 = 2\arctan(2)\]\)= 1.107 radians

Therefore, the angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\)\) is \(\(2\arctan(2)\).\)

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The complete question is:

"Determine the angle of rotation, in radians and degrees, at the point z0 = 2i + 1 when w = z^2."

216cm^2

Volume of cube= 216 ft^3

l^3= 216

l= Cube root of 216

l= 6

SA=6*l^2

=6*6*6

=216 cm^2

Answer:

Z

Step-by-step explanation:

Answer:

76degrees

Step-by-step explanation:

Using the theorem which states that the vertex of the angle inside a circle is half the sum of the measured intercepted arcs. Hence;

Angle at the vertex = 53 degrees

Half the sum of intercepted arcs = 1/2(3x+3+10x-14)

Half the sum of intercepted arcs = 1/2(13x-11)

Equating to  the vertex to find x

1/2(13x-11) = 53

13x - 11 = 2 * 53

13x - 11 = 106

13x = 106 + 11

13x = 117

x = 117/13

x = 9

For the arc 3x + 3

= 3(9) + 3

= 27 + 3

= 30degrees

For the arc 10x - 14

= 10(9) - 14

= 90 - 14

= 76degrees

Hence the measure of the larger of the two arcs is 76degrees

Your answer: d. The interaction (called the A + B interaction). The interaction evaluates mean differences between treatment conditions that are not predicted from the overall main effects from factor A or factor B.

The option that is not one of the hypothesis tests used in two-factor ANOVA is d. The interaction (called the A + B interaction). The correct term for the interaction in two-factor ANOVA is A × B interaction, which evaluates mean differences between treatment conditions that are not predicted from the overall main effects from factor A or factor B. The other two hypothesis tests in two-factor ANOVA are the main effect of factor A (evaluating mean differences between rows) and the main effect of factor B (evaluating mean differences between columns). In two-factor ANOVA, the matrix is used to organize the data and conduct the statistical analysis.
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