To win a trivia game Nevin must score 90 points. Each correct answer is worth 134134points and each incorrect answer is worth −14−14points. If he gets 58 questions correct and 22 questions incorrect, does Nevin win? How many points does he score?

                                               Question 1)

Given the points

Finding the slope between (3, 5) and (3, -6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [-6 - 5] / [3 - 3]

               = -11 / 0

               = undefined or ∞

Thus, the slope of the line = m = undefined.

Note: The undefined slope means the line is vertical.

                                            Question 2)

Given the points

Finding the slope between (-6, 2) and (8, 2)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [2 - 2] / [8 - (-6)]

               = 0 / 14

               = 0

Thus, the slope of the line = m = 0.

Note: The zero slope means the line is horizontal.

There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

Answer:

2.5

Step-by-step explanation:

t = 0.25\(d^{1/2}\)

Substitute d with 100

t = 0.25 x (\(100^{1/2}\))

A number to the half power is equal to the square root of a number.

Square root of 100 is 10: \(\sqrt{100} = 10\)

t = 0.25*10

t = 2.5

Hope this helps :)

Have an awesome day!

Step-by-step explanation:

your welcome hope this helps

The expected return on James's portfolio is 18%.

The expected return on Siebling Manufacturing Company's common stock is 8.4%.

To calculate the expected return on James's portfolio, we need to take the weighted average of the expected returns of MSFT and AAPL based on their respective investments.

Let's assume James invests x% in MSFT and (100 - x)% in AAPL.

The expected return on James's portfolio can be calculated as:

Expected Return = (x * Expected Return of MSFT) + ((100 - x) * Expected Return of AAPL)

Substituting the given values:

Expected Return = (x * 12%) + ((100 - x) * 24%)

To find the value of x that makes James's investments equal, we set the weights equal:

x = 100 - x

Solving this equation gives us x = 50.

Now we can substitute this value back into the expected return equation:

Expected Return = (50% * 12%) + (50% * 24%)

Expected Return = 6% + 12%

Expected Return = 18%

Therefore, the expected return on James's portfolio is 18%.

To calculate the expected return on Siebling Manufacturing Company's common stock, we can use the Capital Asset Pricing Model (CAPM).

The CAPM formula is:

Expected Return = Risk-Free Rate + Beta * Market Premium

Risk-Free Rate = 2%

Market Premium = 8%

Beta = 0.8

Expected Return = 2% + 0.8 * 8%

Expected Return = 2% + 6.4%

Expected Return = 8.4%

Therefore, the expected return on Siebling Manufacturing Company's common stock is 8.4%.

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Answer:

x = 1/3

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

4x + 1 = 3 - 2x

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Here we see that 7/3 does indeed equal 7/3.

∴ x = 1/3 is a solution of the equation.

Answer:

x=1/3

Step-by-step explanation:

4x+1=3-2x

Add 2x to both sides

6x+1=3

Subtract 1 on both sides

6x=2

x=2/6

Let's start solving the expression using the product to sum formulae.

Here's the given expression,

\[\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3}\]

Using the product-to-sum formula,

\[\sin A \cos B=\frac{1}{2}[\sin (A+B)+\sin (A-B)]\]

Applying the above formula in the first term,

\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3} &= \frac{1}{2} \left[\sin \left(\frac{x}{3}+\frac{2 x}{3}\right)+\sin \left(\frac{x}{3}-\frac{2 x}{3}\right)\right] \\&= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]\end{aligned}\]

Using the product-to-sum formula,

\[\cos A \sin B=\frac{1}{2}[\sin (A+B)-\sin (A-B)]\]

Applying the above formula in the second term,

\[\begin{aligned}\cos \frac{x}{3} \sin \frac{2 x}{3}&= \frac{1}{2} \left[\sin \left(\frac{2 x}{3}+\frac{x}{3}\right)-\sin \left(\frac{2 x}{3}-\frac{x}{3}\right)\right] \\ &= \frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right]\end{aligned}\]

Substituting these expressions back into the original expression,

we have\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3} &= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]+\frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right] \\ &=\frac{1}{2} \sin x + \frac{1}{2} \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\\ &= \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\end{aligned}\]

Therefore, the given expression can be written in terms of a single trigonometric function as:

\boxed{\sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)}

Hence, the required expression is \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right). The solution is complete.

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Answer:

£1 : £0.43

Step-by-step explanation:

So to make the ratio, you need the amount of money spent on advertising and the money spent on its website

Website money = £0.43

Advertising money = £1

£1 : £0.43

\(y = 2800(1.033)^t\) is the exponential function for starting population of 2800 bacterium cells that is shown to multiply exponentially over time using this function, increasing by a factor of 1.033 every hour.

We can use an exponential function of the type y = abt to simulate the development of bacteria cells over time, where y stands for the number of cells, t for the number of hours, and a and b for constants that we must establish.

Since we now know there are 2800 bacterium cells, we can enter this number into the equation to obtain:

\(2800 = ab^0\)

By simplifying this equation, we obtain a = 2800, which informs us that there are 2800 bacterium cells in the initial population.

We must use the knowledge that the number of cells rises by 3.3% every hour to get the value of b. By dividing this percentage growth by 100, we can convert it to a decimal, yielding a growth rate of 0.033. The value of b can then be obtained by multiplying this growth rate by 1:

b = 1 + 0.033 = 1.033

These values of a and b are what we obtain when we enter them into our exponential function:

\(y = 2800(1.033)^t\)

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If the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, then the sample space would not change.

It would still contain the same six possible outcomes. However, the probability of rolling an odd number would change to 4/7, as the face with the 3 would come up twice as often.

The sample space for this experiment is {1,1,1,2,2,3}, which is all the possible outcomes when the die is rolled. The probability of rolling an odd number is 2/3, as there are two faces with a 1 and one face with a 3.

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A. The average number of minutes per day spent moving these products using the static storage policy is 1.33 minutes.

B.  The lowest value of average minutes per day used to move these SKUs with the heap policy is approximately 1.17 minutes per day. The initial placement of the SKUs does make a difference in determining the lowest average movement time, as shown by the difference between Scenario 1 and Scenario 2.

a. Static Storage Policy:

To minimize labor, we can allocate the SKUs to storage locations based on their respective travel times from the receiving area to the storage area. In this case, the travel times are 1 minute for location A, 2 minutes for location B, and 2 minutes for location C.

Given that we maintain a constant inventory of one pallet of SKU x and two pallets of SKU y at all times, we can allocate them as follows:

SKU x: Allocate it to the storage location with the shortest travel time, which is location A (1 minute).

SKU y: Allocate both pallets to the storage location with the next shortest travel time, which is location B or C (both have a travel time of 2 minutes).

By allocating SKU x to location A and both pallets of SKU y to either location B or C, we ensure that the SKUs are stored in the closest available locations, minimizing the travel time needed to move them.

The average number of minutes per day spent moving these products can be calculated by considering the dispatch and receiving schedule:

SKU x: Dispatched every three days. Assuming it takes 1 minute to move a pallet from storage to the receiving area, the average daily movement time for SKU x would be (1/3) minutes per day.

SKU y: Dispatched every two days. Assuming it takes 2 minutes to move a pallet from storage to the receiving area, the average daily movement time for SKU y would be (2/2) minutes per day.

Adding up the average daily movement times for SKU x and SKU y, we get:

Average daily movement time = (1/3) + (2/2) = 1.33 minutes per day.

Therefore, the average number of minutes per day spent moving these products using the static storage policy is 1.33 minutes.

b. Heap Policy:

The heap policy involves storing the most frequently dispatched SKU closest to the receiving area. In this case, SKU y is dispatched every two days, while SKU x is dispatched every three days.

To find the lowest value of average minutes per day used to move these SKUs with the heap policy, we need to consider the different initial placements of the SKUs.

Scenario 1: Initial Placement - Location A for SKU x and Location B for SKU y

SKU x: Travel time from storage to the receiving area = 1 minute

SKU y: Travel time from storage to the receiving area = 2 minutes

Average daily movement time:

SKU x: (1/3) minutes per day

SKU y: (2/2) minutes per day

Total average daily movement time = (1/3) + (2/2) = 1.33 minutes per day

Scenario 2: Initial Placement - Location A for SKU y and Location B for SKU x

SKU y: Travel time from storage to the receiving area = 1 minute

SKU x: Travel time from storage to the receiving area = 2 minutes

Average daily movement time:

SKU y: (1/2) minutes per day

SKU x: (2/3) minutes per day

Total average daily movement time = (1/2) + (2/3) ≈ 1.17 minutes per day

Therefore, the lowest value of average minutes per day used to move these SKUs with the heap policy is approximately 1.17 minutes per day. The initial placement of the SKUs does make a difference in determining the lowest average movement time, as shown by the difference between Scenario 1 and Scenario 2.

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Answer:

A

Step-by-step explanation

the line is touching the most points

Answer:

C

Step-by-step explanation:

C is the line of best fit because the number of points above the line and below the line is about equal and the line passes through as many points as possible.  The other choices do not meet this criteria.

Answer:

The baker bought 8 pounds of apples and 4 pounds of bananas.

Step-by-step explanation:

a+b=12.

0.75a+1.05b=10.20

First, multiply 2 my 10.

75a+105b=1020.

Then multiply 1 by 75.

75a+75b=900.

Then subtract.

75a+105b=1020

75a+75b=900.

75a-75a+105b-75b=1020-900

30b=120

b=4

Substitute into (1)

a+4=12

a=8.

Hope this helps :)

Answer:

5/4

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ]. Use the given values to solve.

-6-9/-8-4

-15/-12

5/4

Best of Luck!

Answer:

5 / 4

Step-by-step explanation:

Answer:20.01%

Step-by-step explanation:Divide the tip left by the cost of the meal and multiply by 100 to get 20.01%

Answer: 20%

Step-by-step explanation:

   We will find what percent 2.60 is of 12.99. First, we will divide. Then, we will multiply it by 100 to make a percent.

      (2.6 / 12.99) * 100 = 20.0153 ≈ 20.02%

   She left a 20.02% tip.

You fail to reject the null hypothesis, there is insufficient evidence to conclude that there is a significant difference between the population means.

a) Check the conditions for the F Distribution.

The F-distribution should be used when two variances are being compared.

It is a comparison of two means in two groups.

In general, we assume the following for the F Distribution:

The sample observations are random and independent. Populations have normal distributions. Homogeneity of variances in the two populations is essential.

Homogeneity of variance means that the variance in the population is identical. It is important to verify the assumptions in order to use F Distribution.

b) What is the hypothesis?

The hypothesis is a statistical explanation or statement that describes the relationship between two variables.c)

What are dfr and dfe?

The number of degrees of freedom for the numerator (dfr) and the denominator (dfe) is defined as the degree of freedom in the numerator (df1) and the degree of freedom in the denominator (df2).

The dfr is the degrees of freedom in the numerator, which equals the number of groups minus one.

The dfe is the degrees of freedom in the denominator, which equals the sum of the sample sizes minus the number of groups.d) What are MSt and MSe?

MSt represents the mean square error of the numerator, while MSe represents the mean square error of the denominator.

e) Find the F statistic.

The F statistic is the ratio of the two variances (MSt/MSe).

f) Find and Interpret the p-value.The p-value is the probability of seeing data as extreme as ours if the null hypothesis is true.

A low p-value (less than the alpha level) indicates that there is evidence to reject the null hypothesis.

g) Based on the hypothesis test, what is your conclusion about the population means?

To draw conclusions about the population means based on a hypothesis test, you need to analyze the p-value.

If the p-value is less than or equal to the alpha level, reject the null hypothesis, and if the p-value is greater than the alpha level, fail to reject the null hypothesis. If

you fail to reject the null hypothesis, there is insufficient evidence to conclude that there is a significant difference between the population means.

If you reject the null hypothesis, there is significant evidence to conclude that there is a significant difference between the population means.

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An eating disorder characterized by bingeing and purging is called bulimia nervosa.

The minimum amount of body fat needed for good health is variable and can depend on factors such as age, gender, and individual circumstances. However, essential body fat is typically estimated to be around 3-5% for men and 8-12% for women.

The term used to describe a person who is very overfat is obese. Obesity refers to having excessive body fat, which can have negative effects on health.

People with anorexia nervosa, an eating disorder characterized by restrictive eating and an intense fear of gaining weight, often see themselves as too fat even when they are extremely thin. This distorted body image is a characteristic feature of anorexia nervosa.

A technique for assessing body fat levels that involves being weighed under water is called hydrostatic weighing or underwater weighing. It is considered one of the more accurate methods for determining body composition.

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The rate of NO formation is 0.250 M/s.

Given informationInitial concentration of N2(g), [N2]0 = 0.500 M

   Concentration of N2(g) after 0.100 s, [N2] = 0.450 MRxn : N2(g) + O2(g) → 2NO(g)

Rate of formation of NO = -1/2[d(N2)/dt] or -1/1[d(O2)/dt]

Rate of formation of NO = 2 [d(NO)/dt]

Formula for calculating the rate of reaction:

                                  d[X]/dt = (-1/a) (d[A]/dt) = (-1/b) (d[B]/dt) = (1/c) (d[C]/dt)

The rate of reaction is proportional to the concentration of the reactants:

                                   rate = k [A]^x [B]^y [C]^zWhere k = rate constant, x, y, and z are the order of the reaction with respect to A, B, and C. .

The overall order of the reaction is the sum of the individual orders:

                                  order = x + y + z

We are given initial concentration of N2(g) and its concentration after 0.100 s.

We can calculate the rate of formation of NO using the formula given above.

Initial concentration of N2(g), [N2]0 = 0.500 M

Concentration of N2(g) after 0.100 s, [N2] = 0.450 M

Time interval, dt = 0.100 s

Rate of formation of NO = 2 [d(NO)/dt]

Formula for calculating the rate of reaction:

                                            d[X]/dt = (-1/a) (d[A]/dt)

                                                        = (-1/b) (d[B]/dt)

                                                         = (1/c) (d[C]/dt)

The rate of reaction is proportional to the concentration of the reactants:

                                        rate = k [A]^x [B]^y [C]^zWhere k = rate constant, x, y, and z are the order of the reaction with respect to A, B, and C.

The overall order of the reaction is the sum of the individual orders: order = x + y + z

Now, we will calculate the rate of NO formation by the following steps:

Step 1: Calculate change in the concentration of N2d[N2]/dt = ([N2] - [N2]0)/dt = (0.450 - 0.500)/0.100= -0.500 M/sStep 2: Calculate rate of formation of NO2 [d(NO)]/dt = -1/2[d(N2)]/dt = -1/2 (-0.500) = 0.250 M/s

Therefore, the rate of NO formation is 0.250 M/s.

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The combined cost of 1 pound of salmon and 1 pound of trout is $16.60

Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign.

The expression on the left and the expression on the right are shown to be equal in reference to one another.

Let x be the cost per pound of salmon and y be the cost per pound of trout.

Melissa buys 212 pounds of salmon and 114 pounds of trout. She pays a total of $31.25

2.5 × x + 1.25× y = $31.25

2.5x + 1.25y = 31.25

The trout costs $0.20 per pound less than the salmon.

y = x - 0.20

hence

2.5x + 1.25y = 31.25

2.5y + 1.25(x - 0.20) = 31.25

2.5y + 1.25x - 0.25 = 31.25

2.5x + 1.25x = 31.25 + 0.2

x = 31.5/3.75

x = $8.4

The cost per pound of salmon be represented by x = $8.4

y = x - 0.20

y = 8.4 - 0.20

y = $8.2

The cost per pound of trout be represented by y = $8.2

The cost of a pound of salmon and trout is:

= $8.4 + $8.2

= $16.60

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The term "length" is used to describe an object's size or the separation between two points. Lindsey must buy 4 feet of the board for the ramp itself.

The term "length" refers to the measurement or size of something from end to end. In other terms, it is the greater of the upper two or third dimension of a geometric shape or object.

Distance exists estimated in length. The length contain the dimension of distance in the International System of Quantities. The majority of measurement systems select a base unit for length from which all other units exists derived. The meter serves as the foundational unit of length in the International System of Units.

A rectangle, for instance, has length and width as its dimensions.

1/x = 15°

x = 1/sin 15°

simplifying the above equation, we get

x = 3.9ft

x ≈ 4 ft

Therefore, the value of x ≈ 4 ft.

Lindsey must buy 4 feet of the board for the ramp itself.

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Answer:

The GCF is going to be 20

Step-by-step explanation:

This Is how I find the GCF of 2 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here

The prime factorization of 20, 2 × 2 × 5= 20

The prime factorization of 80, 2 × 2 × 2 × 2 × 5 = 80

The common factors are 2, 2, and 5. We multiply those to get the GCF.

2 × 2 × 5 = 20

a. Ge(s) = (s + 0.1)(s + 5)

This transfer function represents a PID (Proportional-Integral-Derivative) controller. PID controllers require active realization as they involve operational amplifiers to perform the necessary mathematical operations. Therefore, a passive realization is not possible for this compensator.

The parameters C₁, C₂, R₁, and R₂ mentioned in the answer are component values for an active realization of the PID controller using operational amplifiers. These values would determine the specific characteristics and performance of the controller.

b. Ge(s) = (s + 0.1)(s + 2)(s + 0.01)(s + 20)

This transfer function represents a lag-lead compensator. Lag-lead compensators can be realized using passive networks (resistors, capacitors, and inductors) without requiring operational amplifiers.

The parameters C₁, C₂, R₁, and R₂ mentioned in the answer are component values for the passive network implementation of the lag-lead compensator. These values would determine the specific frequency response and characteristics of the compensator.

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Answer:

15 + 5x = 25 + 5x

You will never have the same amount of money as your friend.

Step-by-step explanation:

Let x be the number of weeks that have passed since you and your friend started saving.

The amount of money in your savings account after x weeks is 15 + 5x.

The amount of money in your friend's savings account after x weeks is 25 + 5x.

Therefore, the system of linear equations that represents this situation is:

15 + 5x = y (equation for your savings account)

25 + 5x = z (equation for your friend's savings account)

where y represents the amount of money in your savings account after x weeks and z represents the amount of money in your friend's savings account after x weeks.

To determine if you will ever have the same amount of money as your friend, we can solve the system of equations by setting y equal to z:

15 + 5x = 25 + 5x

Simplifying, we see that the equation reduces to:

15 = 25

This is a contradiction, since 15 is not equal to 25. Therefore, there is no solution to this system of equations in which y is equal to z, which means that you will never have the same amount of money as your friend.

Answer: 15 + 5x = 25 + 5x. You will never have the same amount of savings as your friend.

Step-by-step explanation:

Hence, 15 + 5x = 25 + 5x. You will never have the same amount of savings as your friend.

Answer:

x = - 1/18

Step-by-step explanation:

Move all terms not containing  x to the right side of the equation

Divide each term by 18 and simplify

The result can be shown in multiple forms

x = -1/18

Decimal form= -0.05

Answer: x=-1/18

Step-by-step explanation:

18x+18=17

you subtract 18 from both sides

18x=-1

then you divide by 18 on both sides

x=-1/18

The rate at which revenue is changing when the company is selling widgets at $210 each is $40 per month. This can be found by differentiating the revenue function with respect to time and evaluating it at p = 210. Therefore, the rate at which revenue is changing when the company is selling widgets at $210 each is $40 per month.

The revenue function is given by R(p) = xp, where x is the number of items sold and p is the price. In this case, x = 10000/√3p+1. So, the revenue function is R(p) = 10000p/√3p+1.

We can differentiate the revenue function with respect to time to find the rate of change of revenue. The derivative of R(p) is R'(p) = 10000(√3p+1 - 2p)/√3p+1.

Evaluating R'(p) at p = 210, we get R'(210) = $40. This means that the revenue is increasing at a rate of $40 per month when the company is selling widgets at $210 each.

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To find the maximum area of the lawn that can be watered by the sprinkler, we can use the formula for the area of a circle:

A = πr^2

Given that the radius of the sprinkler's spray is 22ft, we can substitute this value into the formula:

A = 3.14 * (22)^2

A ≈ 3.14 * 484

A ≈ 1519.76

Rounded to the nearest tenth, the maximum area of the lawn that can be watered by the sprinkler is approximately 1519.8 ft^2.\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)

Answer:

\(r=\frac{5}{2}\sqrt{2}\)

Step-by-step explanation:

Triangles And Circles

If a right triangle is inscribed in a circle (or the circle is circumscribed around the right triangle), then the hypotenuse of the triangle is the diameter of the circle.

The right triangle has both legs of known lengths, thus the hypotenuse (the diameter of the circle is):

\(d^2=5^2+5^2\)

\(d^2=25+25=50\)

\(d=\sqrt{50}\)

Since 50=2*25:

\(d=5\sqrt{2}\)

Thus the radius of the circle is:

\(r=\frac{d}{2}\)

\(r=\frac{5\sqrt{2}}{2}\)

\(\boxed{r=\frac{5}{2}\sqrt{2}}\)