{(-3, 2), (-2, 2), (1, 2), (-3, 1), (0, 3)}
Dom:
Range:
Function?

A scalene form of a triangle, based on the measurements provided.

In an obtuse triangle with different-length sides, the longest side goes as follows: longest side^2>otherside + otherside

20^2 > 8^2+12^2

400>64 + 144

400 > 208.

An unusually formed triangle called a scalene triangle has sides that are also irregularly sized. Angle sum property states that the angles of a scalene triangle must always sum to 180 degrees.

For each of its three sides and each of its three angles, a scalene triangle has a variable length, making it a unique triangle. But all interior angles add up to 180 degrees in total.

The name "scalene" is connected to the Greek term "skalenos," which described a triangle with odd sides.

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Complete question : What kind of a triangle will be formed if the sides measure 12 cm, 8 cm

and 20 cm?

Step-by-step explanation:

it says it in the headline : the cube root function.

1.

it goes through (0, 0) and (1, 1) and (-1, -1).

so,

f(x) = cubic root(x)

domain = (-infinity, +infinity)

range = (-infinity, +infinity)

x-intercept = 0

y-intercept = 0

2.

the function is y = cubic root(x + 2)

compared to

y = cubic root(x)

the domain is x >= -2

wrong !

this is not a square root. for the square root that domain would be correct (there are no real number square roots for negative values). but cubic roots are possible also for negative values. this function has the same domain and range as the basic y = cubic root(x) : (-infinity, +infinity).

the function is a vertical translation of g(x) = cubic root(x).

wrong !

vertical means up/down.

but it is a horizontal (left/right) translation of that g(x). by 2 units to the left, actually.

3.

for 1 <= x <= 4 we have already the average rate of change :

about 0.197

for 4 <= x <= 7 we get

(f(7) - f(4))/(7 - 4) ≈ (1.91 - 1.59)/3 ≈ 0.109

so, the interval [1, 4] has a greater average of change.

which is also clear when looking at the graph : the function increases stronger for the lower x-values than for the larger x-values.

distance between point A and B is = 10

The correct 98% confidence interval for the true proportion of graduates working in the field of study in which they obtained their degree is (0.811, 0.892).

To calculate the confidence interval, we need to use the formula for estimating proportions and the standard error of the proportion. The formula is:

Confidence interval = sample proportion ± z * standard error

Calculate the sample proportion

In this case, the sample proportion is the number of graduates working in their field of study (361) divided by the total number of graduates surveyed (424):

Sample proportion = 361/424 ≈ 0.852

Calculate the standard error

The standard error of the proportion is calculated using the formula:

Standard error = sqrt((sample proportion * (1 - sample proportion)) / sample size)

Using the given values, we have:

Standard error = sqrt((0.852 * (1 - 0.852)) / 424) ≈ 0.014

Determine the confidence interval

To find the z-value for a 98% confidence level, we look up the corresponding value in the z-table. The z-value for a 98% confidence level is approximately 2.33.

Substituting the values into the confidence interval formula, we have:

Confidence interval = 0.852 ± 2.33 * 0.014

Confidence interval ≈ (0.811, 0.892)

Therefore, the correct 98% confidence interval for the true proportion of graduates working in their field of study is (0.811, 0.892).

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Answer:

Theoretical

Step-by-step explanation:

Answer:

1.) 78

2.) 162

Step-by-step explanation:

you just multiply the number outside of the parentheses by the one inside them lol

Student A is incorrect. The student started at 0 on the y-axis, did not need to move horizontally on the graph, and so moved horizontally to 2 on the x-axis. The student should have started at 0 on the x-axis, moved horizontally to the graph, and then moved vertically to -6, which student B did.

The value of x at which we want to find the numeric value of the function is given as follows:

x = 2.

Tracing a vertical line through x = 2, it will cross the graph of the function at y = -6, hence the numeric value is given as follows:

f(2) = -6.

Meaning that student B is correct.

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Answer:

hi

Step-by-step explanation:

If v=<8,3,5> w=<2,2,2>, the cosine of the angle between vectors v and w is approximately 0.93294.

To find the cosine of the angle between vectors v and w, we will use the formula:
cos(θ) = (v • w) / (||v|| ||w||)
where θ is the angle between the vectors, v • w is the dot product of v and w, and ||v|| and ||w|| are the magnitudes of v and w, respectively.
First, let's find the dot product (v • w):
v • w = (8 * 2) + (3 * 2) + (5 * 2) = 16 + 6 + 10 = 32
Next, let's find the magnitudes of v and w:
||v|| = √(\(8^2 + 3^2 + 5^2\)) = √(64 + 9 + 25) = √98
||w|| = √(\(2^2 + 2^2 + 2^2\)) = √(4 + 4 + 4) = √12
Now, let's find the cosine of the angle between v and w:
cos(θ) = (32) / (√98 * √12) = 32 / (9.899494936611665 * 3.4641016151377544) ≈ 0.93294

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The cosine of the angle between v and w is 0.9332

To find the cosine of the angle between v and w, we can use the formula:

cos(Ф) = (v.w) / (||v|| ||w||)

where Ф is the angle between v and w, the . represents the dot product, and || || represents the magnitude or length. First, let's calculate the dot product of v and w:

v.w = 8*2 + 3*2 + 5*2 = 32

Next, let's calculate the magnitudes of v and w:

||v|| = sqrt(8^2 + 3^2 + 5^2) = sqrt(98)

||w|| = sqrt(2^2 + 2^2 + 2^2) = sqrt(12)

Now we can substitute these values into the formula:

cos(Ф) = (v.w) / (||v|| ||w||)
cos(Ф) = 32 / (sqrt(98) * sqrt(12))
cos(Ф)= 32 / (sqrt(1176))
cos(Ф) = 32 / 34.29
cos(Ф)= 0.9332

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Answer:

he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Step-by-step explanation:

The probability that none of the 10 randomly selected MIS graduates from UIUC make above $48,861 in their first job is (0.47)^10, which can be calculated using the binomial probability formula.

To find the probability that none of the 10 graduates make above $48,861, we raise the probability of an individual not making above $48,861 to the power of 10 (since we want all 10 to not make above that amount) and multiply it by the total number of combinations for selecting 10 graduates out of the total population.

Using the binomial probability formula, the probability that none of the 10 graduates make above $48,861 can be calculated as:

\(P(X = 0) = C(10, 0) * (0.47)^0 * (1 - 0.47)^{10-0}\)

where C(10, 0) represents the number of combinations of selecting 0 graduates out of 10.

Simplifying the equation, we find:

\(P(X = 0) = (1) * (1) * (0.47)^{10}\)

Therefore, the probability that none of the 10 randomly selected MIS graduates from UIUC make above $48,861 in their first job is \((0.47)^{10}\).

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Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

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Answer:

25. 64

27. 10,000

Step-by-step explanation:

This is the answer because:

1) Standard form means to write the full number

2) So for 25, all you have to do is multiply 2 x 2 x 2 x 2 x 2 x 2 which is 64

3) For 27, all you have to do is multiply 10 x 10 x 10 x 10 which is 10,000

Hope this helps!

Answer:

4/3−4√5+13√7

Step-by-step explanation:

So for whatever reason we don't like it when the radical is in the denominator so we're going to do a process called rationalization and get rid of it. We do this by multiplying both the numerator and denominator by the radical

So for the first part we multiply the numerator and denominator by \(\sqrt{28}\) which gives us \(\frac{42\sqrt{28} }{28}\) we can then factor the 28 into sqrt(7,2,2) which simplifies to \(42*2\sqrt{7}\)/28  So then we can simplify this and get \(3\sqrt{7}\) We then can simplify the rest of these radicals and get \(2\sqrt{20}=2\sqrt{2*2*5}=4\sqrt{5}\)  and \(2\sqrt{175}= 2\sqrt{5*5*7}=2*5\sqrt{7}\) This means that so far we have the following:\(3\sqrt{7}+ \frac{60}{45}-4\sqrt{5} +10\sqrt{7}\) We can add the like terms and simplify the fraction and get 4/3−4√5+13√7

Answer:

I need Image but I thinck is D

Answer:

D. ten square root of five end root minus four square root of ten

Step-by-step explanation:

I got it right on the test

Answer:

72% of 30 is 21.6

Step-by-step explanation:

Write 72/100 as a fraction, then multiply it by 30.

72/100 X 30 = 21.6

Calucator 72 ÷ 100 x 30 = 21.6

72 percent of the value 30 will be:  \(\frac{18}{25} * 30 = 21.6\) we get this value by using  fraction method.

A fraction represents a whole object or part of a collection. A fraction consists of two parts. The number at the top of the line is called the counter. Indicates how many equal parts of the whole or collection are taken. The number below the line is called the denominator. This gives the total number of equal parts divided into a whole, or the total number of equal objects in a collection.

If you divide the whole evenly, the number of parts will be a fraction.

If you divide the pie into 8 halves and place one of them on a plate, each plate is said to contain one-eighth of his pie. It is read as "one eighth" or "one times eight".

We know that:

4% of a number = \(\frac{1}{25}\)

therefore 4*18 = 72% of the same number will be: \(\frac{18}{25}\)

So we can say that \(\frac{18}{25} * 30 = 21.6\)

So the value of 72% of thee number 30 will be: 21.6

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Answer:

(2u+8)(2u+10) inches^2=4u^2+36u+80 inches^2

Step-by-step explanation:

I don't know what the options are. But I'll try to help you anyway. Is that variable for the width of the frame... u? We'll just use u.

So the area of a rectangle is found using length* width. To find the combined area of the mat and the photo, we need the combined length and the combined width.

combined length=u+8+u

(Think of it from the top to the bottom: the top strip has a length of u inches, 8 is given, and the bottom strip is also u inches long.) You can simplify it to get 2u+8 inches.

combined width=u+10+u=2u+10 inches

To find the area, you need to multiply these dimensions.

(2u+8)(2u+10) inches^2

I think this would be your answer for Part B, because it's factored.

I think for Part A, you need to multiply it all out.

=2u(2u+10) + 8(2u+10)

=4u^2+20u + 16u+80

=4u^2+36u+80 inches^2

Hope I could help you!

The mean is 18.6.

Given the following information; z = 2.25, x = 22.2, and σ = 1.6, to find the mean, we have to apply the formula for z-score. z = (x - μ)/σWhere; z-score is represented by z, the value of X is represented by x, the mean is represented by μ and the standard deviation is represented by σSubstituting the values into the equation above;2.25 = (22.2 - μ)/1.6Multiplying both sides of the equation by 1.6, we have;1.6(2.25) = (22.2 - μ)3.6 = 22.2 - μ Subtracting 22.2 from both sides of the equation;3.6 - 22.2 = - μ-18.6 = - μ Multiplying both sides of the equation by -1, we have;μ = 18.6

Simply said, a z-score, also known as a standard score, informs you of how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.

You can plot a z-score on a normal distribution curve. Z-scores range from -3 standard deviations, which would fall to the extreme left of the normal distribution curve, to +3 standard deviations, which would fall to the far right. You must be aware of the mean and population standard deviation in order to use a z-score.

The z-score can show you how that person's weight compares to the mean weight of the general population.

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Answer:

c

Step-by-step explanation:

the answer is c

hope it helps

Given:

13 is the final answer.

Compound amount = $8867.39

compound interest = $1867.39

EXPLANATION

Given:

Principal(p) = $7000 Rate(r) = 0.12 Time(t) = 2 n= 4

We can calculate the compound amount(A) using the formula below:

Substitute the values and evaluate.

Hence, the compound amount = $8867.39

We proceed to find the compound interest.

A = P + I

⇒ I = A - P

= 8867.39 - 7000

=1867. 39

Therefore, the compound interest = $1867.39

Answer:

f(6) = 24

Step-by-step explanation:

You plug in 6 for x in the equation

So F(6) = 4 x 6

f(6) = 24

Answer:

10 minutes for 480 copies. Divide 480 by 10 and get 48 copies per minute. If you divide 720 by 48 you get 15, so it takes 15 minutes to make 720 copies.

Step-by-step explanation:

Answer:

15 Minutes

Step-by-step explanation:

\(\frac{480}{10} =\frac{720}{t}\)

Where t is time in minutes

Cross multiply

480t=7200

t=\(\frac{7200}{480}\)=\(\frac{720}{48}\)=\(\frac{60}{4}\)=15 Minutes

Answer:

4x - 5 = 131 where x is the first number.

Step-by-step explanation:

Let the first number be x.

Seconder number = 2x + 7.

Third number = x - 12.

So, the equation is :-

x + 2x + 7 + x - 12 = 131

4x - 5 = 131

4x = 136

x = 34

First number = 34, second = 2(34) + 7 = 75 and third number = 34-12 = 22.

Answer:

z = 3m - 2n

Step-by-step explanation:

1000 = 10^3

(10^3)^m = 10^3m

100 = 10^2

(10^2)^n = 10^2n

10^3m/(10^2n) = 10^(3m-2n) = 10^z

z = 3m - 2n

Answer:

Vertical angles

Step-by-step explanation:

A and C are formed by the same lines and are opposite.  A and C are vertical angles

Answer:

Not following PEMDAS

Step-by-step explanation:

In the first one, they didn't follow PEMDAS. You have to add 3 and 12 because they're in parenthesis, so it would be:

4 x (3 + 12) =

4 x 15=

60

Second one:

4^2 - 2 x 3 + 6 =

16 - 2 x 3 + 6 =

16 - 6 + 6 =

10 + 6 =

16