What is -2(x + 12y - 5 - 17x - 16y + 4) simplified?

-40x + 8y + 2

28x + 8y +2

28x + 6y + 2

-28x - 8y + 2

The new average speed that the pilot should maintain to complete the trip in 90 minutes is 220 miles per hour.

(a) To find the angle that the pilot should turn to head towards Louisville, we first need to find how far off course the pilot has gone in 15 minutes. At an average speed of 220 miles per hour, the pilot would have flown a distance of:

d = rt = 220 mi/hr × (15 min / 60 min/hr) = 55 miles

Since the pilot was 10 degrees off course, they have effectively traveled 10/360 of the circumference of a circle with radius 55 miles. The length of this arc is:

s = rθ = 55 mi × (10/360) = 1.528 mi

To head towards Louisville, the pilot needs to turn to a heading that is 10 degrees in the opposite direction. The angle θ that the pilot needs to turn is given by:

θ = 2arctan(s/2d) = 2arctan(1.528 mi / 2(330 mi)) ≈ 0.266 radians ≈ 15.26 degrees

So the pilot needs to turn approximately 15.26 degrees to head towards Louisville.

(b) Let's call the distance the pilot needs to travel after correcting course "x". We can use the formula for distance to find "x":

x = 330 mi - 2(55 mi) = 220 mi

To complete the trip in a total time of 90 minutes, the pilot must spend 75 minutes flying at the new speed and 15 minutes turning to the correct heading. Therefore, the time spent flying at the new speed is 75 minutes - 15 minutes = 60 minutes. The new speed can be found using the formula for average speed:

average speed = total distance / total time

We want the new speed to cover a distance of 220 miles in 60 minutes:

average speed = 220 mi / (60 min / 60) = 220 mi/hr

So the new average speed that the pilot should maintain to complete the trip in 90 minutes is 220 miles per hour.

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Answer:

Step-by-step explanation:

Yes

Answer:

yes because for every pound it is $3

Step-by-step explanation:

i know this because 1 times 3 is 3 and 3 times 3 is 9 and 7 times 3 is 21 and 10 times 3 is 30

The length of the rectangle is 19 cm.

The formula for the area of a rectangle,

Area = Length x Width

Given that the area is 336 cm squared.

So, we can set up an equation,

⇒ 336 = (w + 5)w

where w represents the width of the rectangle.

Expanding this equation,

⇒ 336 = w² + 5w

Moving all terms to one side:

⇒ w² + 5w - 336 = 0

This is a quadratic equation that we can solve using the quadratic formula,

⇒ w = (-5 ± √(5² - 4(1)(-336))) / (2(1))

⇒ w = (-5 ± 23) / 2

We'll take the positive value,

⇒ w = 14

So, the width of the rectangle is 14 cm.

We also know that the length is 5 cm more than the width,

Therefore,

⇒ l = w + 5

⇒ l = 14 + 5

⇒ l = 19

Therefore, the length of the rectangle is 19 cm.

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Answer:

No more

Step-by-step explanation:

Answer:

After 2 years you'll have $40.

Step-by-step explanation:

multiply 500×0.04×2

As a result, an experiment entails randomly selecting one of two urns and then drawing a marble from that urn. The probability that a green marble was picked is 0.524.

We are informed from the question that

Urn 1 has the following number of green marbles \(Ng=14\)

Urn 1 has the following number of yellow marbles \(Ny=15\)

Urn 2 has the following number of green marbles: \(n_{g} =11\)

Urn 2 has the following number of yellow marbles:\(n_{y}=8\)

The likelihood of selecting Urn 1 is \(P(U1) = 0.57\)

The likelihood of selecting Urn 2 is \(P (U2)= 1-0.57\)

                                                           \(P(U2)= 0.43\)

Let \(Nt\) be the total number of marbles in urn 1. Then,

Typically, Urn 1's total marble is \(Nt=Ng+Ny\)

                                                   \(Nt=14+15\)

                                                   \(Nt=29\)

Let \(nt\) be the total number of marbles in urn 1

Typically, Urn 2's total marble is n \(n_{t} = n_{g} +n_{y}\)

                                                     \(n_{t} =11+8\)

                                                     \(n_{t}=19\)

The likelihood of selecting green marble is typically

\(P(Ng)=P(U1)* \frac{Ng}{Nt} + [P(U2)*\frac{n_{g} }{n_{t} }]\)

\(P(Ng)=0.57*\frac{14}{29} + [0.43*\frac{11}{19} ]\)

\(P(Ng)=0.57*0.483+[0.43*0.579]\)

\(P(Ng)= 0.275+0.249\)

\(P(Ng)= 0.524\)

The probability that a green marble was picked is 0.524.

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Answer:

1/7

Step-by-step explanation:

6 + 5 + 4 = 15

There are 15 marbles to start with.

p(event) = (number of desired outcomes)/(total number of outcomes)

First pick (there are 6 desired outcomes out of a total of 15 possible outcomes):

p(r) = 6/15

Now there are 5 red marbles left and a total of 14 marbles left.

Second pick (there are 5 desired outcomes out of a total of 14 possible outcomes):

p(r) = 5/14

These events are independent, so we multiply the two probabilities.

p(r, r) = 6/15 × 5/14

p(r, r) = 3/7 × 1/3

p(r, r) = 1/7

Charlotte and Amelia were arranging chairs at a community hall. Charlotte arranged 9 chairs at a time whereas Amelia arranged 12 chairs at a time. If they ended up arranging the same number of chairs, the minimum number of chairs that each one could have arranged are 36 chairs. A method to approach this problem:

We have two people Charlotte and Amelia who are arranging chairs at a community hall. Charlotte arranges 9 chairs at a time. Amelia arranges 12 chairs at a time. We have to find the minimum number of chairs that each one could have arranged. Let's assume that the number of chairs arranged by Charlotte is x.

So, the number of chairs arranged by Amelia would be y. Now, as per the given information, both of them have arranged the same number of chairs. So, the equation would be

:x = y Now, let's represent the number of chairs arranged in terms of x or y. The number of chairs arranged by Charlotte in terms of x would be 9x.The number of chairs arranged by Amelia in terms of y would be 12y.

As per the given information, both of them have arranged the same number of chairs. So, the equation would be:9x = 12yLet's simplify this equation by dividing both sides by 3.3x = 4yWe know that x = y.S o, we can replace y with x.3x = 4xLet's simplify this equation by subtracting 3x from both sides.-x = 0x = 0We have x = 0. This means that Charlotte did not arrange any chairs. However, the question asks for the minimum number of chairs.

So, let's take x as the minimum possible integer value which is 1.If x = 1, then9x = 9 chairsThis means that Charlotte arranged 9 chairs.If Charlotte arranged 9 chairs, then Amelia would arrange:12y = 9 chairs (as x = y)This means that Amelia arranged 9 chairs too.Both of them arranged the same number of chairs which is 9 chairs.So, the minimum number of chairs that each one could have arranged is 9 chairs.

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Answer:

About 66 tubes

Step-by-step explanation:

Cylinder surface area formula: 2πr(h + r) where h = height and r = radius

In this case, h = 14, π = 3.14 and r = 4.5 so the surface area of one pottery is:

2 * π * 4.5 * (14 + 4.5) = 166.5π ≈ 523.08

The surface area of 15 potteries would be 523.08 * 15 = 7846.2 so it would take 7846.2 / 120 = 65.385 ≈ 66 tubes. We round to the nearest integer because in this context, you can only have integer values of tubes, you can't have, say, 0.5 tubes.

Answer:

The awnser is C. 4 hours

Step-by-step explanation:

It takes her 2 hours two walk 1 mile so 2*2 is 4

Answer:

1:4

Step-by-step explanation:

the original would be

25:100

divide by 25

(25:100)/25

1/4

Answer:

3/4

Step-by-step explanation:

100-25=75

75%=3/4

The percentage of water in the mixture is 20%.

The dishonest milkman gains 25% by mixing water with his milk. Let's assume he sells 1 liter of milk at the cost price of x. Now, he mixes water with this 1 liter of milk. Let the quantity of water he adds be y liters. So, the total quantity of the mixture becomes 1 liter + y liters.

According to the question, the dishonest milkman gains 25% by selling this mixture. This means that the selling price of the mixture is 125% of the cost price. Therefore, the selling price of the mixture is 1.25x.

Since the dishonest milkman is selling the mixture at cost price, we can equate the selling price to the cost price. So, 1.25x = x + y.

Simplifying the equation, we get y = 0.25x.

Now, we need to find the percentage of water in the mixture. This can be calculated by dividing the quantity of water (y liters) by the total quantity of the mixture (1 liter + y liters) and multiplying by 100.

So, the percentage of water in the mixture is (y / (1 + y)) * 100 = (0.25x / (x + 0.25x)) * 100 = (0.25 / 1.25) * 100 = 20%.

Therefore, the percentage of water in the mixture is 20%.

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After seven years, the yearly sales are 855,355.65.

A relation is any subset of a Cartesian product.

As an illustration, a subset of is referred to as a "binary connection from A to B," and more specifically, a "relation on A."

A binary relation from A to B is made up of these ordered pairs (a,b), where the first component is from A and the second component is from B.

Every item in a set X is connected to one item in a different set Y through a connection known as a function (possibly the same set).

A function is only represented by a graph, which is a collection of all ordered pairs (x, f (x)).

Every function, as you can see from these definitions, is a relation from X.

the following parameters

a = 650000

r = 4% = 0.04

t = 7

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An explanation of an event that is based on repeated observations and experiments is a scientific theory

A thorough, well-researched explanation of a natural occurrence constitutes a scientific theory.

We frequently use the word "theory" to refer to a hypothesis or informed guess in common speech, but in science, a theory is an explanation that is the result of a substantial and repeated investigation. The purpose of theories is to explain a broad concept; they are not intended to establish facts

Some of the most well-known and complicated events are explained by scientific theories. The theories of relativity, evolution, and gravity are a handful of the most well-known scientific concepts.

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Answer:

Below.

Step-by-step explanation:

In Δ ABC m < B = 180 - (50+70) = 60 degrees.

in Δ DEF m < D = 180- ( 60 + 70) = 50 degrees.

BC = DE  ( both are 10 cm).

m < A = m < F  ( both 70 and directly opposite BC and DE)

m < C = m < D (corresponding angles and both = 50 degree)

Therefore, Δ's ABC and DEF are congruent by AAS.

Your answer: B) Statistically significant and quite small MPG prediction errors
This statement best describes the regression, as it indicates that the relationship between the variables is statistically significant.

Without specific data or statistical analysis, it is impossible to accurately determine which statement best describes the regression for y = highway miles per gallon in 91 cars. However, in general, a statistically significant regression means that there is a relationship between the variables being analyzed. The error in predictions refers to the difference between the predicted value and the actual value.

Therefore, A) statistically significant but large error in the MPG predictions and B) statistically significant and quite small MPG prediction errors could both be possible outcomes depending on the specific data and analysis. C) Not quite significant, but predictions should be very good is unlikely to be a valid statement if the regression is not statistically significant.
Additionally, the small MPG prediction errors suggest that the regression model is reliable and accurate in making predictions for highway miles per gallon in the 91 cars.

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Answer:

x=95, if thats what ur trying to find

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

m + 8 = 3m

8 = 2m

4 = m

The defect rate for your product has historically been about 1.50% For a sample size of 200, the upper and lower 3​-sigma  The upper control limit (UCL) is approximately 0.0450.

The upper control limit (UCL) for a 3-sigma control chart is given by:

\(\[UCL\) = defect rate + 3 * sqrt((defect rate * (1 - defect rate)) / sample size)

Substituting the values, where the defect rate is 1.50% (0.015) and the sample size is 200, we get:

\(\[UCL = 0.015 + 3 \times \sqrt{\frac{0.015 \times (1 - 0.015)}{200}}\]\)

Calculating this expression, we find:

\(\[UCL \approx 0.0450\]\)

Therefore, the upper control limit (UCL) is approximately 0.0450.

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Answer:

x=3

Step-by-step explanation:

The correct answer is c. Line graphs show the change in one or more variables progressively across time.

Histograms show the distribution of data, pie charts show the proportions of a whole, bar charts compare categories or groups, and diagrams show the relationships between different elements.

The correct answer is c. Line graphs show the change in one or more variables progressively across time

A histogram is a visual depiction of data distribution in statistics. The histogram is shown as a collection of neighbouring rectangles, where each bar represents a certain type of data. Numerous fields use statistics, which is a branch of mathematics. Frequency, which can be expressed as a table and is known as a frequency distribution, is the repeating of numbers in statistical data.

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Line graphs show the change in one or more variables progressively across time. C

A line graph is a type of chart that displays data as a series of data points connected by straight lines.

The horizontal axis of the graph typically represents time, while the vertical axis represents the value of the variable being measured.

By connecting the data points with lines, a line graph can show the trend or pattern of change in the variable over time.

Line graphs are commonly used in fields such as economics, finance, and science to visualize trends in data over time.

They can be used to identify patterns, compare different variables, or forecast future trends.

In contrast, histograms, pie charts, bar charts, and diagrams are different types of charts that are used to display data in different ways.

Histograms are used to show the distribution of data within a single variable, while pie charts and bar charts are used to compare different categories or groups of data.

Diagrams are used to represent complex systems or relationships, often using visual symbols or icons to represent different components.

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Answer:

The coefficient of the second tern in the expression , 4+ 5c, is 5

Step-by-step explanation:

Second term: 5c

C is a variable,therefore, making 5 the coeffiecient.

We can estimate that Cho will sell around 100 servings of kakigori on a day when the high temperature is 29° Celsius.

Based on the line of best fit for the data, we can estimate the number of servings of kakigori Cho will sell on a day when the high temperature is 29° Celsius.

From the scatter plot, we can see that the line of best fit is increasing as the temperature increases.

By estimating the value on the line of best fit for the temperature of 29° Celsius, we can approximate the number of servings sold. Based on the scatter plot, it appears that the number of servings sold is around 100 when the temperature is 29° Celsius.

Therefore, we can estimate that Cho will sell around 100 servings of kakigori on a day when the high temperature is 29° Celsius.

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Answer:

A syllogism is a chain of three statements.

Explanation:

A syllogism is a basic form of reasoning consisting of three statements. The first two statements are the premises, the third statement is the conclusion. Here is a first example, showing the way we are going to write syllogisms in these notes.

The statement "Multiple linear regression allows for the effect of potential confounding variables to be controlled for in the analysis of a relationship between x and y" is True

Multiple linear regression serves as a statistical technique to investigate the connection between a dependent variable (y) and multiple independent variables (x1, x2, x3, etc.). By embracing several variables concurrently, it enables the examination to incorporate and account for potential confounding variables, thereby enhancing the accuracy of the analysis.

Confounding variables represent variables that exhibit associations with both the independent variable and the dependent variable. This coexistence may lead to a misleading or distorted relationship between the two.

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Being afraid of the unknown prevents Hamlet from using death as a solution to end his difficulties.

This is how Hamlet's view of death changes throughout the play.

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Answer:

Assume we want to find the solution to this system of equations.

The solution is (2,-2)

Step-by-step explanation:

We can find the solution either mathematically or by graphing.  I'll do both.

Math:

Rearrange:

-2x-6y=8

-6y=8 +2x

y = -(1/3)x -(4/3)

---

Now use this expression of y in the second equation:

-6x-6y=0

-6x-6(-(1/3)x -(4/3)) =0

-6x + 2x +8 =0

-4x = - 8

x = 2

---

Use x = 2 in the first equation to find y:

y = -(1/3)x -(4/3)

y = -(1/3)*(2) -(4/3)

y = -(2/3) -(4/3)

y = -(6/3) or -2

The solution is (2,-2)

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

Graphing:

See attached graph.

Answer:

Step-by-step explanation:

-2x - 6y = 8

6x + 6y = 0

4x = 8

x = 2

-4 - 6y = 8

-6y = 12

y = -2

(2, -2)

2. alternate angles I think

3. vertically opposite angles

4. Interior angles

The average slope of the function f(x) = -3x^2 + 5 from x = w to x = w + h is -6w - 3h. This represents the change in the function values divided by the change in x-values and provides a measure of the average rate of change of the function over the interval.

To find the average slope of the function f(x) = -3x^2 + 5 from x = w to x = w + h, we calculate the difference in function values at the two endpoints divided by the difference in x-values. Simplifying the expression involves evaluating f(w + h) and f(w), and then simplifying the resulting fraction.

The average slope of a function f(x) from x = w to x = w + h is given by the formula (f(w + h) - f(w))/h. In this case, the function is f(x) = -3x^2 + 5.

First, we evaluate f(w + h) and f(w) by substituting the corresponding values of x into the function:

f(w + h) = -3(w + h)^2 + 5

f(w) = -3w^2 + 5

Next, we substitute these values into the average slope formula and simplify:

Average slope = (f(w + h) - f(w))/h = (-3(w + h)^2 + 5 - (-3w^2 + 5))/h

Expanding and simplifying the expression inside the numerator, we have:

Average slope = ((-3w^2 - 6wh - 3h^2 + 5) + 3w^2 - 5)/h

The terms -3w^2 and 5 cancel out, leaving:

Average slope = (-6wh - 3h^2)/h

Finally, simplifying the expression, we have:

Average slope = -6w - 3h

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