(1 pt) if v1= [5 −4] and v2 = [4 −5] are eigenvectors of a matrix a corresponding to the eigenvalues λ1=5 and λ2=6, respectively, then a(v1 + v2)=and a(−3 - v1)=

Answer:

119 degrees

Step-by-step explanation:

All triangles have a sum of 180 degrees for all of their angles

so 180= 24+37+ x

x= 119

Answer:

119

Step-by-step explanation:

You have the following sentence:

triangle ABC is right triangle, so angle ∠A measures 90°

In order to find a counterexample of the previous sentence, you simply determine which of the given triangle is a right triangle in which the measure of angle ∠A is not 90°.

You can notice that the option B is a right traingle where the angle A does not measure 90°, otherwise, angle ∠B measures 90°

Answer:

964 1/4m

Step-by-step explanation:

length x width x height

Answer:

964.25 is the volume

Step-by-step explanation:

To find the volume of a rectangular prism your going to do length times width times height.

Your length is 7 1/4m

Your height is 14m

Your width is 9 1/2m

So we are going to do 7 1/4 * 9 1/2 * 14

Which will give you 964.25

Answer:

24 books.

Step-by-step explanation:

Because 15 books divide 5 months would be 3 books so each month is 3 books so 3 books times 3 more months would be 9 books and then you add 15 to 9 and you get 24.

Answer:

N = 35

Step-by-step explanation:

The pattern in this sequence is x3, +2.

3 * 3 = 9

9 + 2 = 11

11 * 3 = 33

33 + 2 = N

N * 3 = 105

N = 33 + 2 = 105/3 = 35

Therefore, the interest on the notes would be:(a) $70 (b) $45 (c) $92 (d) $70.

To determine the interest on the given notes, we can use the simple interest formula:

Interest = Principal * Rate * Time

(a) For $5,600 at 5% for 90 days:

Principal = $5,600, Rate = 5% (or 0.05), Time = 90 days/360 (converted to years)

Interest = $5,600 * 0.05 * (90/360) = $70

(b) For $1,280 at 9% for 5 months:

Principal = $1,280, Rate = 9% (or 0.09), Time = 5 months/12 (converted to years)

Interest = $1,280 * 0.09 * (5/12) = $45

(c) For $6,900 at 8% for 60 days:

Principal = $6,900, Rate = 8% (or 0.08), Time = 60 days/360 (converted to years)

Interest = $6,900 * 0.08 * (60/360) = $92

(d) For $2,000 at 7% for 6 months:

Principal = $2,000, Rate = 7% (or 0.07), Time = 6 months/12 (converted to years)

Interest = $2,000 * 0.07 * (6/12) = $70

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SUV was detected exceeding the posted speed limit of 60 km/hr, 40 kilometers would she have traveled if she was driving 80 km/hr for half an hour.

Given that an SUV was detected exceeding the posted speed limit of 60 km/hr. We need to calculate how many kilometers would she have traveled if she was driving 80 km/hr for half an hour.

Using the formula,

s = v.t

Where s = Distance

           v = Velocity

            t = time

In this scenario, the velocity of the SUV is given as 80 km/hrt = 0.5 hrs

The distance she will travel at 80 km/hr in 0.5 hrs will be; s = 80 x 0.5s = 40 km

Therefore, the SUV would have traveled 40 kilometers if she was driving 80 km/hr for half an hour.

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Answer:

A

Step-by-step explanation:

x is hour. {from the question}

k = \(\frac{-500+200}{5}\)

\(=\frac{-300}{5}\)

\(=-60\)

So \(y=-60x+500\) choose A.

I hope this helps you

:)

The function that describes the car's distance from Austin is

y = -60x + 500.

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, codomain, and domain for every function.

Let x be the time period in hour.

And y is the distance from Austin.

We substitute the value of x =5 to the functions and see if it gives the output 200.

In A:

y = 60x -500

y = 60(5) - 500

y = -200

Distance is not negative. So, this is not a required function.

In B:

y = -60x +500

y = 200 miles.

This is a required function.

In C:

y = -40x + 500

y = -200 + 500

y = 300 miles.

This is not a required function.

In D:

y = 60x + 200

y = 300 + 200

y = 500 miles.

This is not a required function.

Therefore, y = -60x +500 is a required function.

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Answer:

24.1%

17%

66%

192%

28.6%

12%

It inquires about the thickness of the pipe. PP is the most sustainable material among the options listed. The determining the most likely material used for a pipe based on its dimensions and properties, and whether it is made from the most sustainable mater

The outer diameter and length of the pipe, we can calculate its volume using the formula for the volume of a cylinder.

By subtracting the volume of the inner cavity from the total volume, we can determine the pipe's wall thickness.

The material with the closest density to the calculated value will be the most likely material used for the pipe.

Comparing the densities of the three materials listed, we find that PVC has a density of 1.387 g/cm3, ABS has a density of 1.051 g/cm3, and PP has a density of 0.9195 g/cm3.

By comparing the calculated density with the densities of the materials, we can determine which material is the most likely choice for the pipe.

if the pipe is made from the most sustainable material, we need to consider the embodied energy values provided in the table.

The material with the lowest embodied energy is the most sustainable. Comparing the values given, we find that PP has the lowest embodied energy of 0.9195 MJ/kg, followed by ABS with 1.051 MJ/kg, and PVC with 1.387 MJ/kg.

Therefore, PP is the most sustainable material among the options listed.

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The statement "the interquartile range is least influenced by an outlying value in the data set" is true.

The range is simply the difference between the maximum and minimum values in a data set.

The variance is a measure of the spread of a data set, and is calculated by finding the average of the squared differences between each data point and the mean of the data set.

The interquartile range, on the other hand, is a measure of the spread of the middle 50% of the data set. It is calculated by finding the difference between the upper quartile and the lower quartile.

Because the interquartile range only takes into account the middle 50% of the data, it is less influenced by outliers than the range and variance. This is because outliers can greatly impact the range and variance, but have little effect on the interquartile range.

In conclusion, the interquartile range is a more robust measure of spread for a data set, as it is less influenced by outliers.

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The ethnicity of respondents in a political poll of randomly selected adults is an example of a categorical variable.

A categorical variable is a type of variable that represents data that can be categorized into distinct groups or categories. In this case, the ethnicity of the individual respondents in the political poll represents different categories such as Asian, African American, Hispanic, Caucasian, etc. Each respondent falls into one of these categories based on their ethnicity.

The variable is categorical because it does not have numerical values that can be quantified or measured. Instead, it represents qualitative data that can be described using labels or categories.

Therefore, the ethnicity of the individual respondents in a political poll of randomly selected adults is an example of a categorical variable.

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Answer: Uncle Luke is at 50 years old

Step-by-step explanation: I went through trial and error first with simple t-charts.  In the first one, I simply implemented the piece of info that Luke was 5 times older than the nephew. But then, I realized that Luke would always be 5 years older than his nephew. Here was the info for that t-chart:

\(\left \{ {{N=1} \atop {L=5}} \right. \left \{ {{N=2} \atop {L=6}} \right. \left \{ {{N=3} \atop {L=7}} \right.\)

Next, I tried a chart starting with the nephew at 2 years of age, and got an age gap of 8. This helped me realize that I would have to start at 4 years of age in order to have an age gap of 16
\(\left \{ {{N=2} \atop {L=10}} \right.\)        |             \(\left \{ {{N=4} \atop {L=20}} \right. \left \{ {{N=5} \atop {L=21}} \right.\)  (remember there are 1 increments)

Next, I realized that N=4, L=20 was 40 years ago, so if now the nephew was 44, we can increment 16 to get 50
44+16=50

Answer: 6x-8

Step-by-step explanation:

The trip will take about 11.93 hours, or approximately 11 hours and 56 minutes.

What is distance?

Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet. Distance is a scalar quantity, meaning it has only magnitude and no direction.

To calculate the total time for the trip, we need to take into account the time for driving and the time for lunch.

First, let's calculate the time for driving:

Distance to be covered = 800 miles

Average speed = 70 miles per hour

Time for driving = Distance / Speed

Time for driving = 800 miles / 70 miles per hour

Time for driving = 11.43 hours

So, the driving time is approximately 11.43 hours.

Now, let's add the time for lunch. The stop for lunch is 30 minutes, which is equivalent to 0.5 hours.

Total time for the trip = Time for driving + Time for lunch

Total time for the trip = 11.43 hours + 0.5 hours

Total time for the trip = 11.93 hours

Therefore, the trip will take about 11.93 hours, or approximately 11 hours and 56 minutes.

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He can buy 5 candy at most with this inequality 2c-3<9 as the inequality will result in c<6 as the definition of inequality says, "In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another".

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another. The equation-like form of the expression 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. This shows that the left part, 5x 4, is bigger than the right part, 2x + 3. The greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), and not equal to symbol () are the five inequality symbols. Take the same amount away from both sides. Add the same positive number to both sides. Subtract the same positive number from both sides. Reverse the sign and multiply both sides by the same negative number.

Here,

2c-3<9

add 3 both side,

2c-3+3<9+3

2c<12

divide both side by 2,

c<6

According to the definition of inequality, "In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another," he can only purchase a maximum of 5 candies with the inequality 2c-3<9.

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The correct null hypothesis for the given problem is \(H_0\) : μ = 8000.

To obtain the correct null hypothesis for the given problem, follow the given below steps:

Firstly, recall that the null hypothesis ( \(H_0\) ) is a statistical assumption used in hypothesis testing.

It is a statement that is assumed to be true until it is proven false by the alternative hypothesis.

Secondly, recall that the null hypothesis is the opposite of the alternative hypothesis (\(H_1\)), which is the statement that researchers want to prove to be true.

Thirdly, recall that the null hypothesis for a population mean is as follows:

 \(H_0\) : μ = \(\mu_o\)

where μ represents the population mean and

\(\mu_o\) represents the hypothesized population mean.

Therefore, for the given problem, the correct null hypothesis is:

 \(H_0\) : μ = 8000.

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u^3 + 8 factors as (u + 2)(u^2 + 2u + 4) is explained by kuta software infinite algebra as

x^3 + 125

To factor this expression, we can use the formula for the difference of cubes:

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

We can set a = x and b = 5:

x^3 + 125 = (x + 5)(x^2 - 5x + 25)

So x^3 + 125 factors as (x + 5)(x^2 - 5x + 25).

a^3 + 64

To factor this expression, we can use the formula for the sum of cubes:

a^3 + b^3 = (a + b)(a^2 + ab + b^2)

We can set a = a and b = 4:

a^3 + 64 = (a + 4)(a^2 + 4a + 16)

So a^3 + 64 factors as (a + 4)(a^2 + 4a + 16).

x^3 - 64

To factor this expression, we can use the formula for the difference of cubes:

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

We can set a = x and b = 4:

x^3 - 64 = (x - 4)(x^2 + 4x + 16)

So x^3 - 64 factors as (x - 4)(x^2 + 4x + 16).

u^3 + 8

To factor this expression, we can use the formula for the sum of cubes:

a^3 + b^3 = (a + b)(a^2 + ab + b^2)

We can set a = u and b = 2:

u^3 + 8 = (u + 2)(u^2 + 2u + 4)

So u^3 + 8 factors as (u + 2)(u^2 + 2u + 4).

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Social cognitive theory focuses closely on A. addressing performance attainments and persistence in overcoming obstacles.

Social cognitive theory, developed by psychologist Albert Bandura, emphasizes the role of cognitive processes in learning and behavior. It specifically focuses on how individuals acquire knowledge, develop skills, and exhibit behavior through observational learning, self-efficacy beliefs, and self-regulation. One of the key aspects of social cognitive theory is addressing performance attainments and persistence in overcoming obstacles.

This means that the theory emphasizes the importance of individuals actively engaging in tasks, setting goals, and persisting in the face of challenges to achieve desired outcomes. By emphasizing performance attainments and overcoming obstacles, social cognitive theory highlights the role of self-efficacy, self-control, and motivation in shaping behavior and success in various domains of life, such as education, work, and personal goals.

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The four criteria that can be used to prove triangles are congruent and can be used to prove the triangles are congruent.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have a same appearance. They match up with one another when moved.

The four criteria that can be used to prove triangles are congruent are SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and SSS (Side-Side-Side). Additionally, CPCTC (Corresponding Parts of Congruent Triangles are Congruent) can be used to prove the triangles are congruent.

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Answer:

3 quarters and 19 nickles

Step-by-step explanation:

.

An exponential function can represent growth or decay.

The graph represents an exponential growth function is given by  \(y = ab^{x}\).

An exponential function is represented as:

\(y = ab^{x}\)

Where:

a represents any constant value.

b represents the growth or decay rate of the function

When the value of b is greater than 1, then the exponential function represents growth

Graph shown below represents an exponential growth function.

Hence, the graph representing an exponential growth function is graph traced by \(y = ab^{x}\).

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A relationship is said to exist between two variables in a cross-tabulation if the percentage distribution varies across the different categories of the independent variable.

In a cross-tabulation, also known as a contingency table, two variables are compared to understand the relationship between them. The independent variable is typically displayed in the rows or columns of the table, while the dependent variable is displayed in the other dimension.

In order to determine if a relationship exists between the two variables, we examine the percentage distribution of the dependent variable across the different categories or levels of the independent variable. If these percentages vary significantly across the categories of the independent variable, then we can infer that there is a relationship between the two variables.

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The equation of the line in slope - intercept form will be -

y = (4/5)x + 5

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

At [c] = 0 -

y = mx

We have a directly proportional relation.

The general equation of a straight line is -

[y] = [m]x + [c]

At [c] = 0, y = mx

m = y/x

where [m] acts as a constant of proportionality.

So -

y = mx : represents direct proportionality between [y] and [x]. Its graph is a straight line.

Therefore, y = mx : represents direct proportionality between [y] and [x]. Its graph is a straight line.

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Answer:

y=20x75 is the answer

Step-by-step explanation:

You can basically eliminate other two choices since they are division

Answer:

1/2x-18

Step-by-step explanation:

18 subtracted from half of a number

We assume that the "number" is x

so 1/2x is the half of a number

We now need to have 18 subtracted from that so 1/2x-18