pls help me it geometry

The leading coefficient is –3, and the constant is 2. Option C

The highest power of the variable that occurs in the polynomial is called the degree of a polynomial. The leading term is the term with the highest power , and its co-efficient is called the leading co-efficient.

So given polynomial expression 5x + 2 – 3x2 in this expression the highest degree is '2' and the co-efficient is -3

We have that the parameters are;

The leading co-efficient is -3

The constant of the given polynomial is '2'

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Answer:

c

Step-by-step explanation:

Answer:

3 and - 10

Step-by-step explanation:

(a)

when x = 0 in the interval x ≤ 0 then y = \(\frac{3}{2}\) x + 3 , so

y = \(\frac{3}{2}\) (0) + 3 = 0 + 3 = 3

when x = 0, the value of the function is 3

(b)

when x = 5 in the interval x > 0 then y = - 2x , so

y = - 2(5) = - 10

when x = 5 the value of the function is - 10

Answer: a. when x=0, the value of the function is 3

              b. when x=5, the value of the function is -10

Step-by-step explanation:

\(\displaystyle\\y=\left \{ {{\frac{3}{2}x+3,\ if\ x\leq 0 } \atop {-2x,\ if\ x > 0}} \right.\)

\(\displaystyle\\x=0\\\\Hence,\\\\y=\frac{3}{2} (0)+3\\\\y=0+3\\\\y=3\)

\(x=5\\\\Hence,\\\\y=-2(5)\\\\y=-10\)

Answer:

\(x=-1/2\)

Step-by-step explanation:

\(4 x - 6 = 10 x - 3\)

\(4 x -10x= - 3+6\)

\(-6x=3\)

\(-6x/6=-3/6\)

\(x=-1/2\)

Answer:

\(x = - \frac{1}{2} \)

Step-by-step explanation:

\(4x - 6 = 10x - 3 \\ - 6 + 3 = 10x - 4x \\ - 3 = 6x \\ \frac{ - 3}{6} = \frac{6x}{6} \\ x = - \frac{1}{2} \)

Step-by-step explanation:

a general line equation is

y = ax + b

the slope of a line is always the factor of x (a).

it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

so, here it is -5/4.

it says, when x changes by +4, then y changes by -5.

a parallel line must have the same slope. it just crosses the y-axis at a different point. and that is what b specifies in the equation. it tells us the y value when x = 0.

and we get it by using the point coordinates in the equation and then solve for b :

1 = -5/4 × -4 + b = (-5 × -4)/4 + b = 20/4 + b = 5 + b

b = -4

so, the full equation of the parallel line is

y = -5/4x - 4

We have the following:

In this case, to know the value of the total expense, we must multiply the price of the fish by the amount of fish that he bought like this:

Therefore, the answer is the option C. 34.02

Answer:  A small sample size hampers statistical power, generalizability, precision, and the ability to conduct robust analyses, ultimately impacting the reliability and validity of the research findings

Step-by-step explanation:

Having a small sample size can present several challenges for a data analyst conducting research. One primary challenge is the issue of statistical power. With a small sample size, the analyst may not have enough data points to detect meaningful or significant effects or relationships accurately. This can lead to limited generalizability of the findings to the broader population or limited ability to draw valid conclusions.

Additionally, a small sample size can result in increased sampling error and variability. The findings may be more susceptible to random fluctuations, making it difficult to establish reliable patterns or trends.

Furthermore, a small sample size may limit the analyst's ability to conduct in-depth subgroup analysis or explore complex interactions between variables. It may also limit the precision of estimates and confidence in the research outcomes.

In summary, a small sample size hampers statistical power, generalizability, precision, and the ability to conduct robust analyses, ultimately impacting the reliability and validity of the research findings.

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A small sample size can present challenges for a data analyst in terms of reduced statistical power, reduced representativeness of the population, and increased sensitivity to outliers.

A small sample size presents several challenges for a data analyst conducting research.

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Answer:

-52

Step-by-step explanation:

The height h of the triangle is 5.42 ft

The height of the triangle can be found using the formula below:

Area = 1 / 2 bh

where

Therefore,

A = √s(s - a)(s - b)(s - c)

Hence,

s = 14 + 7 + 11 / 2 = 32 / 2 = 16

A = √16(16 - 11)(16 - 7)(16 - 14)

A = √1440

A = 37.947331922

A = 37.95 ft²

37.95 = 1 / 2 × 14 × h

h = 37.95 / 7

h = 5.42104741743

h = 5.42 ft

Therefore, the height h of the triangle is 5.42 ft

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Answer: 25

Step-by-step explanation:

80/ 100 = 0.8

20/? = 0.8

= 20/0.8 = 25

Answer:

\(y=-\dfrac{2}{3}x+490\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)

Given equation:

\(2x + 3y = 1470\)

To change the equation to slope-intercept form, isolate y:

\(\implies 2x + 3y -2x=1470 -2x\)

\(\implies 3y=-2x+1470\)

\(\implies \dfrac{3y}{3}=\dfrac{-2x+1470}{3}\)

\(\implies y=-\dfrac{2}{3}x+\dfrac{1470}{3}\)

\(\implies y=-\dfrac{2}{3}x+490\)

Therefore:

To graph this line with the slope-intercept method:

To write the equation in function notation, replace the y-variable for f(x).

\(\implies f(x)=-\dfrac{2}{3}x+490\)

The graph of the function represents:

The y-intercept of the graph is (0, 490).

To find the x-intercept, set the function to zero and solve for x:

\(\implies -\dfrac{2}{3}x+490=0\)

\(\implies -\dfrac{2}{3}x=-490\)

\(\implies -2x=-1470\)

\(\implies x=735\)

Therefore, the x-intercept is (735, 0).

The graph of the function is attached.

If Sal's total profit on lunch specials for the next month is $1,593 (where the profit amounts are the same) the equation would be 2x + 3y = 1593 and the function would be:

\(g(x)= -\dfrac{2}{3}x+531\)

As the coefficient of the x-variable has not changed, the slopes of the two functions are the same.

As the total profit has changed, the intercepts are different.

The y-intercept of the first function is (0, 490) and its x-intercept is (735, 0).  Whereas the y-intercept of the second function is (0, 531) and its x-intercept is (796.5, 0).

Given:-

\( \: \)

\( \: \)

Solution:-

\( \underline{ \: \sf{[a = 3.8] \: }}\)

\( \: \)

\( \: \)

\( \textsf{put the value of a = 3.8}\)

\( \: \)

\( \: \)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━

\( \underline{ \sf \: [a = 7]\: }\)

\( \: \)

\( \: \)

\( \textsf{ \: put the value of a = 7 \: }\)

\( \: \)

\( \: \)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━

\( \underline{ \sf{[a = -7.2]}}\)

\( \: \)

\( \: \)

\( \textsf{ \: put the value of a = -7.2 \: }\)

\( \: \)

\( \: \)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

The actual population mean is between 1.5 and 2.1 vehicles per household.

The median is a statistical measure that represents the middle value of a dataset. It is the value that separates the lower half of the dataset from the upper half. To find the median, the data must be arranged in order from smallest to largest, and then the middle value is identified.

If the dataset contains an odd number of values, then the median is the middle value. For example, if the dataset is {2, 4, 6, 7, 9}, then the median is 6, which is the middle value.

If the dataset contains an even number of values, then the median is the average of the two middle values. For example, if the dataset is {2, 4, 6, 7, 9, 10}, then the median is (6+7)/2 = 6.5, which is the average of the two middle values, 6 and 7.

The actual population mean is between 1.5 and 2.1 vehicles per household.

The margin of error represents the possible distance between the sample mean and the true population mean.

The lower bound is found by subtracting the margin of error from the sample mean:

1.8 - 0.3 = 1.5

The upper bound is found by adding the margin of error to the sample mean:

1.8 + 0.3 = 2.1

Therefore, we can be 95% confident that the true population mean falls between 1.5 and 2.1 vehicles per household.

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Answer:

Hai

first i wanna find the full area. so ill multiply

14×10 = 140.

now the things i should do is find patch and bed's area and substrack from the all area to find the lawn!

For flower bed:

3×8= 24, 24÷2 = 12.

for vegetable patch:

5+7= 12×10 = 120÷2 = 60.

60+12=72

140-72= 68

good luck (:

Upon calculating the sum up to the appropriate term, we find that the sum is approximately 0.0713. So, the correct answer is a. 0.0713

It seems like there is a typo in the series notation. I assume the series you are referring to is ∑(2(-1)^n-1)/(12n^2 + 1) from n=1 to infinity. In this case, we can determine the sum using a well-known function and round the answer to four decimal places. Since the given series is an alternating series, we can use the Alternating Series Estimation Theorem to determine an approximation for the sum. The theorem states that if the absolute difference between consecutive terms is decreasing and the limit of the terms as n approaches infinity is zero, the approximation for the sum is accurate up to the first term that is less than or equal to the desired error bound (in this case, 0.0001). For this series, we can see that the absolute difference between consecutive terms decreases as n increases and the limit as n approaches infinity is zero. So, we can find the smallest value of n for which the term is less than or equal to 0.0001 and calculate the sum up to that term.

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The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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The approximate probability of a student scoring 400 or lower or 700 or higher on the SAT is about 0.1815 or 18.15%.

To find the approximate probability of a student scoring 400 or lower or 700 or higher on the SAT, we can use the z-score formula and the standard normal distribution.

First, we need to convert the raw scores of 400 and 700 to z-scores using the formula:

z = (x - μ) / σ

where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For a raw score of 400:

z = (400 - 500) / 100 = -1

For a raw score of 700:

z = (700 - 500) / 100 = 2

Next, we can use a standard normal distribution table (or calculator) to find the probabilities associated with these z-scores.

The probability of a z-score of -1 or lower is approximately 0.1587. This represents the area under the standard normal distribution curve to the left of z = -1.

The probability of a z-score of 2 or higher is approximately 0.0228. This represents the area under the standard normal distribution curve to the right of z = 2.

To find the probability of scoring 400 or lower or 700 or higher on the SAT, we can add these probabilities together:

P(score ≤ 400 or score ≥ 700) ≈ 0.1587 + 0.0228 ≈ 0.1815

Therefore, the approximate probability of a student scoring 400 or lower or 700 or higher on the SAT is about 0.1815 or 18.15%.

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Answer:

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

Step-by-step explanation:

Given:

S(-3, 10)

T(-2, 3)

Required:

ST

SOLUTION:

Use the distance formula, \( \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \), to find ST.

Where,

\( S(-3, 10) = (x_1, y_1) \)

\( T(-2, 3) = (x_2, y_2) \)

\( ST = \sqrt{(-2 -(-3))^2 + (3 - 10)^2} \)

\( ST = \sqrt{(1)^2 + (-7)^2} \)

\( = \sqrt{1 + 49} \)

\( = \sqrt{50} = \sqrt{25*2} \)

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

If Luis trains two times per week with 12-pound weights , then to improve his strength, he should (d) Increase to three times per week.

By Increasing the frequency of his strength training sessions from two times per week to three times per week can help Luis improve his strength by exposing his muscles to more stimulation and allowing for more adaptations to occur.

It is important to remember to progress gradually and listen to his body to avoid injury.

The option (d) ;  involves increasing the frequency of his strength training sessions from two times per week to three times per week. By exposing his muscles to more stimulation, he will be allowing for more adaptations to occur and potentially leading to greater strength gains.

The given question is incomplete , the complete question is

Luis strength trains two times per week. He uses 12-pound weights and performs three sets of eight repetitions. He wants to improve his frequency. What should he do?

(a) Increase to 10 repetitions.

(b) Increase to 15-pound weights.

(c) Increase to four sets.

(d) Increase to three times per week.

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Answer:

well,

Step-by-step explanation:

I guess free points then!

Answer:

Assume temporarily that angle A is an obtuse angle (Third Option)

Step-by-step explanation:

Using that you could prove how its impossible to have A as an obtuse angle

Answer:

x = -2

Step-by-step explanation:

Subtract 7 from both sides :

6x = -12

Divide both sides by 6 :

x = -2

Hope this helped and have a good day

Answer: width is 49

Step-by-step explanation: 84-35= 49

The correct answer is Beta. In this case, it is more important to make the Beta error as low as possible.

This is due to the Beta error being a false negative, which would suggest that the lead levels did not go above the permitted limit even though they did.

As a result, the park would continue to be open and the general public would be exposed to a potentially dangerous situation.

On the other side, a false positive (also known as an Alpha error) would cause the park to be closed without a need and would prevent the public from accessing a secure park.

Making the Beta error as small as feasible is therefore more crucial in order to protect the public from unwarranted dangers.

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Answer:

The percent of students that are non-believers that did write their name is 2%.

Step-by-step explanation:

Given that a school took a survey of its students regarding climate change, and among the students, 80% believed that greenhouse gases were responsible for climate change, while of the remaining students, 60% still believed that climate change was real and 75% of the non-believers did not write their name on the survey, to determine what percent of students are non-believers that did write their name, the following calculation must be performed:

100 - 80 = 20

1 - 0.6 = 0.4

1 - 0.75 = 0.25

20 x 0.4 x 0.25 = X

8 x 0.25 = X

2 = X

Therefore, the percent of students that are non-believers that did write their name is 2%.

SOLUTION

Consider the graph shown:

From the graph the equation is:

Therefore the approximate equation is:

Substitute x=4 into the equation:

Answer:

Step-by-step explanation:

Hope it helps! :)

Answer:

no

Step-by-step explanation:

they must have to be addd to 180

y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Answer:

undefined

Step-by-step explanation:

We can find the slope using two points

m = (y2-y1)/(x2-x1)

   = ( 8-4)/(-10 - -10)

   = ( 8-4)/(-10 +10)

   = 4/0

Since we are dividing by zero, the slope is undefined