What are the coordinates of point K?
A. (3,3)
D. (10,3)
B. (3,7)
E. (10,10)
C. (7,10)

Answer:

Which equation is y = –3x2 – 12x – 2 rewritten in vertex form?

y = –3(x + 2)2 + 10

y = –3(x – 2)2 + 10

y = –3(x + 2)2 – 14

y = –3(x – 2)2 – 2

Step-by-step explanation:

Which equation is y = –3x2 – 12x – 2 rewritten in vertex form?

y = –3(x + 2)2 + 10

y = –3(x – 2)2 + 10

y = –3(x + 2)2 – 14

y = –3(x – 2)2 – 2

Answer:

1. A. 12a^2 + 8a + 4

2. C. 4xy+16x-4y^2-16y

3. C. 64q^6r^8s^4

4. A. -4x^4y^6

Step-by-step explanation:

48a^3 + 32a^2 + 16a / 4a = (48a^3) / 4a + (32a^2) / 4a + (16a) / 4a = 12a^2 + 8a + 4.

So, the answer is A. 12a^2 + 8a + 4.

(2x-2y)(2y+8) = 4xy - 4y^2 + 16x -  16y.

So, the answer is C. 4xy+16x-4y^2-16y.

(-8q^3 * r^4 * s^2)^2 = (-8)^2 * q^6 * r^8 * s^4 = 64q^6r^8s^4.

So, the answer is C. 64q^6r^8s^4.

-12x^8y^8 / 3x^4y^2 = (-12 / 3) * (x^(8 - 4)) * (y^(8 - 2)) = -4x^4y^6.

So, the answer is A. -4x^4y^6.

Hope this helps!

Answer:

33.333...% over the base 100% (100% is representing the $5.40)

Step-by-step explanation:

she gets $7.20 from selling the 18 chocolate bars

7.20 divided by 5.40 is 1.3333...

the 1 in 1.3333... represents the base 5.40 and the 0.3333... represents the profit

Answer:.753

Step-by-step explanation:

Let Ps = probability both marbles are the same color. Let Pd = probability both marbles are a different color. Pd = 1 -Ps let Pb = probability both marbles are blue let Pr = probability both marbles are red. Let Pg = probability both marbles are green pb= 2/9 * 1/9 = 2/81 or= 4/9 * 3/9 = 12/81 pg=.3/9 * 2/9= 6/81 ps = Pb + Pr +Pg= 20/81 pd

Pd =1-Ps= 61/81 = .753

The probability of getting two different colored marbles is 13/18.

Probability is the possibility of happening an event.

Given that, there are 2 blue, 4 red, and 3 green marbles.

The total number of marbles is:

2 + 4 + 3

= 9

To find the probability of getting two different colored marbles, first, find the probability of getting two same color marbles and then subtract it from 1.

The probability of getting the first blue marble is:

2/9

The probability of getting the second blue marble is:

1/8

The probability of getting both blue marble is:

P₁ = (2/9)(1/8)

P₁ = 2/72

Similarly, the probability of getting two red marbles and two green marbles is:

P₂ = 12/72 and P₃ = 6/72

Now, the probability of getting two same-colored marbles is the sum of the three different probabilities:
P = P₁ + P₂ + P₃

= 2/72 + 12/72 + 6/72

= 20/72

= 5/18

Now, the probability of getting two different colored marbles is:

1 -P

1 - 5/18

= 13/18

Hence, the probability of getting two different colored marbles is 13/18.

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Answer:

Hello! 59.2 is our answer

This is because for all the triangles we do 5.4 x 4 = 21.6 then I divide by 2 cause thats the formula when doing triangles so I get 10.8 and sense all the triangle sides our the same I do 10.8 x 4 and get 43.2 then for the bottom side I just have to do 4 x 4 cause thats the formula and get 16 then I add these up so 43.2 + 16 = 59.2 and We get our answer 59.2 Hope this helps!

A triangle is a shape with 3 sides and angles. The measure of angle ∠ABC is 57.6 degrees

Here, we have,

Application of trigonometry identity

A triangle is a shape with 3 sides and angles. Given the following parameters

∠CAB = 90°.

AB = 5.9 m and;

BC = 11.1m.

Determine the measure of ∠ABC

cos∠ABC = AB/BC

cos∠ABC = 5.9/11

cos∠ABC = 0.5363

∠ABC = arccos0.5363

∠ABC = 57.6 degrees

Hence the measure of angle ∠ABC is 57.6 degrees

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Answer: x=(±2√21)-8

Step-by-step explanation:

Add 104 to both sides so we can get x^2+16x+64

x^2+16x+64=104

then factor

(x+8)^2=104

square root both sides

x+8=±√104

simplifying the radical and subtracting 8 gets us this

x=(±2√21)-8

Hope this helps!

a) To find a function f such that \(\mathbf{F} = \nabla f and f(0,0,0) = 0 \\\), we need to find the potential function f(x, y, z) whose gradient is equal to \(\mathbf{F} \\\).

Given \(\mathbf{F} = (z + y)\mathbf{i} + (3z + x)\mathbf{j} + (3y + x)\mathbf{k} \\\), we can find the potential function f(x, y, z) by integrating the components of \(\mathbf{F}\\\) with respect to their corresponding variables:

\(\:f(x, y, z) = \int (z + y) \, dx + \int (3z + x) \, dy + \int (3y + x) \, dz \\\)

Integrating each component:

\(\:f(x, y, z) = \frac{1}{2}zx + yx + g_1(y, z) + \frac{3}{2}zy + g_2(x, z) + \frac{3}{2}yx + g_3(x, y) \\\)

where g_1(y, z), g_2(x, z), and g_3(x, y) are arbitrary functions of their respective variables.

To satisfy the condition f(0, 0, 0) = 0, we set the arbitrary functions g_1(y, z), g_2(x, z), and g_3(x, y) to be zero:

\(f(x, y, z) = \frac{1}{2}zx + yx + \frac{3}{2}zy + \frac{3}{2}yx \\\)

Therefore, the function f(x, y, z) that satisfies \(\mathbf{F} = \nabla f \\\) and f(0, 0, 0) = 0 is:

\(f(x, y, z) = \frac{1}{2}zx + yx + \frac{3}{2}zy + \frac{3}{2}yx \\\)

b) Now, we want to compute the line integral \(\int_C \mathbf{F} \cdot d\mathbf{r} \\\) along any curve C from (0, 0, 0) to (1, 1, 1).

Using the fundamental theorem of line integrals, we can evaluate the line integral by evaluating the potential function f at the endpoints of the curve:

\(\int_C \mathbf{F} \cdot d\mathbf{r} = f(1, 1, 1) - f(0, 0, 0) \\\)

Substituting the values into the potential function:

\(\int_C \mathbf{F} \cdot d\mathbf{r} = f(1, 1, 1) - f(0, 0, 0) \\ \\= \left(\frac{1}{2} + 1 + \frac{3}{2} + \frac{3}{2}\right) - \left(0\right) = \frac{11}{2} \\\)

Therefore, the line integral \(\int_C \mathbf{F} \cdot d\mathbf{r} \\\) along any curve C from (0, 0, 0) to (1, 1, 1) is \(\frac{11}{2} \\\).

Answer:

-12.5333333333

Step-by-step explanation:

her3e

Answer:

A+*in a house*127^0/0

underfined

Step-by-step explanation:

Answer:

Solving the expression \(\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)\) we get 6

The answer is 6.

Step-by-step explanation:

We need to find value of expression: \(\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)\)

We know that \(\sqrt{81}=9\)

Our expression will become

\(\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{9 } -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-2 -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-4)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}+4\)

We can write \(\sqrt[6]{8}=(2^3)^{\frac{1}{6}}=(2)^{\frac{3}{6}}=2^\frac{1}{2}=\sqrt{2} \\\)

Now, replacing \(\sqrt[6]{8}=\sqrt{2}\)

\(=\frac{2}{\sqrt[6]{8} }.\sqrt{2}+4\\=\frac{2}{\sqrt{2} }.\sqrt{2}+4\\=2+4\\=6\)

So, solving the expression \(\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)\) we get 6

Answer:

0, -2

Step-by-step explanation:

Can I have brainliest? I hope this helped and have a nice day!

Answer:

(-1, -5)

Step-by-step explanation:

Answer:

Mean of the sampling distribution: 0.86

Standard deviation of the sampling distribution: 0.0000119

Step-by-step explanation:

Answer: -3x + 4

Step-by-step explanation:

To convert standard form:

3x + y = 4

to slope intercept form all we have to do is bring the x to the other side.

When we take the x to the other side we get

y = -3x + 4

Therefore when rewritten in slope-intercept form, the answer is:

y = -3x + 4

Answer:

1 is 50 min

Step-by-step explanation:

big brain

Answer:

i think ur rise over run is up 1 over to the right 2

Step-by-step explanation:

i

The probability that the random sample of 16 people in the elevator will exceed the weight limit is essentially 1. Rounded to 4 decimal places, the answer is 1.0000.

To answer this question, we need to use the central limit theorem, which states that for a large enough sample size, the sample mean will be approximately normally distributed regardless of the underlying population distribution.

In this case, we are given that the weight of students, faculty, and staff is approximately normally distributed with a mean weight of 150 pounds and a standard deviation of 27 pounds. We are also given that the elevator has a weight limit of 2500 pounds and a 16-person limit.

To find the probability that the random sample of 16 people in the elevator will exceed the weight limit, we first need to calculate the mean and standard deviation of the sample.

The mean weight of the sample can be calculated as:

mean = population mean = 150 pounds

The standard deviation of the sample can be calculated using the formula:

standard deviation = population standard deviation / √sample size

standard deviation = 27 / √16 = 6.75 pounds

Next, we need to calculate the z-score for the weight limit:

z = (weight limit - mean) / standard deviation

z = (2500 - 150) / 6.75 = 341.48

This z-score is extremely high, which indicates that the probability of the sample weight exceeding the weight limit is very close to 1 (i.e., almost certain).

To calculate the actual probability, we can look up the z-score in a standard normal distribution table or use a calculator. Using a calculator, we can find that the probability of a z-score of 341.48 or higher is essentially 1.

Therefore, the probability that the random sample of 16 people in the elevator will exceed the weight limit is essentially 1. Rounded to 4 decimal places, the answer is 1.0000.

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Beth's distance drops by 3 miles if Kristin's distance drops by 5 miles.

The variable that is altered or managed in a scientific experiment is known as an independent variable. It stands for the rationale or cause behind an outcome. The experimenter modifies the independent factors to test the dependent variable.

The dependent variable is impacted by the independent variable. For instance, your exam results are influenced by how much sleep you get (an independent variable) (dependent variable). This is understandable, but Eg. How much sleep you get depends on your test results.

a. Independent Variable = Kristin's distance (K)

Dependent Variable = Beth's distance (b)

c. b = k + 2

If Kristin's decreases by 5 miles, we represent new distance as (k - 5)

b = (k + 5) + 2

simplifying the above equation, we get

b = k - 3

Kristin and Beth are now equally separated from the park and the pork.

Beth's distance drops by 3 miles if Kristin's distance drops by 5 miles.

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Yes, triangle inequality theorem apply to all equilateral triangles.

The triangle inequality theorem explains the relation between a triangle's three sides. This theorem states that for any triangle, the sum of the lengths of the first two sides is always greater than the length of the third side. In other terms, this theorem states that a straight line is always the shortest distance between any two places.

So Triangle inequality theorem is not only valid for all equilateral traingles but it is valid for all traingles.

A Triangle is only formed is if follows Triangle inequality theorem so every equilateral triangle needs to follow this theorem.

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Occupants are 10 times more likely to be killed in a crash when not buckled in. option c.

Wearing a seatbelt is one of the simplest ways to protect oneself while in a vehicle. When properly worn, it decreases the likelihood of being seriously injured or killed in a collision by as much as 50%. When an individual is not wearing a seatbelt, they are putting their lives at risk. Wearing a seatbelt should be a routine habit whenever an individual sits in a vehicle.

Buckling up is the easiest and most effective way to prevent injuries and fatalities on the road. If drivers, passengers, and children buckle up every time they travel in a vehicle, the likelihood of being killed or injured in a collision is greatly reduced. When occupants of a vehicle do not buckle up, they are 10 times more likely to be killed in a crash. This means that the likelihood of being killed is significantly higher when not wearing a seatbelt.

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There are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

1. First we need to identify the total number of seats in the lecture hall which is 200.

2. Then we need to identify the number of seats with folding arm tablets that are designed for wheelchair users which is 30.

3. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats.

4. Therefore, 200 - 30 = 170, which means there are 170 seats with folding arm tablets that are not designed for wheelchair users.

The lecture hall in question has a total of 200 seats, with 30 of those seats having folding arm tablets that are designed for wheelchair users. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats. This means that 200 - 30 = 170, which means there are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

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A and B are typically subitized, which means that they can be immediately recognized without counting. C and D are more likely to be counted.

Counting is the process of determining the number of items in a set by successively adding one. Subitizing, on the other hand, is the ability to immediately recognize the number of items in a small set without counting. The capacity for subitizing is limited to small sets typically ranging from 1 to 5 items, depending on the individual's age and mathematical ability. The answer to this question would be option C, 3. For most individuals, recognizing the number of items in a set of 3 would require counting rather than subitizing, as 3 is at the upper limit of the typical range for subitizing.

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Triangle with sides AB = 8cm , CA = 5cm , BC = 7cm and AB = 7cm , BC = 10cm , CA = 8cm can construct a Triangle.

Condition : For forming the triangle, the sum of two sides must be greater than the third side.

a.  AB = 4cm, CA = 3cm, BC = 10cm

   CA+BC=AB

   3+1=4

   4=4

Therefore, it cannot form a triangle because it is not satisfying the condition.

b.  AB = 8cm , CA = 5cm , BC = 7cm

    AB+CA>BC

    AB+BC>CA

    CA+BC>AB

    Therefore, it can form a triangle because it satisfies the condition.

c.  AB = 7cm, BC = 10cm, CA = 8cm

   AB+BC>CA

   AB+CA>BC

   BC+BC>AB

  Therefore, it can form triangle because it satisfies the condition.

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The correct option is option A , such that inequality is x - 3y < 5.

What are the inequalities ?

Inequalities are the expressions in which both sides are not equal and the equal sign in between is replaced by less than , greater than, etc.

We know that the slope intercept form of equation is given by y = mx + c , where m is the slope and c is the y - intercept.

In the graph , the upward sloping line has x and y intercepts of 5 and -3.

So its equation in slope intercept form is given by ,

- 3y = - x + 5

And the inequality with that boundary line is given by ,

- 3y < - x + 5

or

x - 3y < 5

Therefore , the inequality represented by graph is x - 3y < 5 or option A is correct.

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(a). The estimation results may not be reliable.

(b). The correct regression model is: Y = Bo + B₁X + u where X is randomized based on covariate W₁ and u is the error term.

(c). The measurement errors are not random, but systematic, they can lead to biased parameter estimates and erroneous statistical inference.

(d).  The variance of the error term is low, the t-statistics will be large, and the hypothesis tests will be more powerful.

(1). The term that contains the information of W in the above regression is B₁X₁. If X, and W, are negatively correlated, then the OLS estimator of B₁ becomes less precise. In other words, the standard errors of the coefficient estimates increase because the covariance between the explanatory variables is negative, and the variance of the OLS estimator increases as a result.

Hence, the estimation results may not be reliable.

(2). A randomized regression model is a regression model in which a treatment is randomly assigned to the subjects in the sample. The model is used to test whether the treatment affects the outcome variable.

The correct regression model is: Y = Bo + B₁X + u where X is randomized based on covariate W₁ and u is the error term.

(3). Yes, measurement errors in the dependent variable can cause problems in the ordinary least square estimation. In this case, the errors are called measurement errors, which are due to inaccuracies in the measurement of the dependent variable.

If the measurement errors are not random, but systematic, they can lead to biased parameter estimates and erroneous statistical inference.

(4). The variance of the error term affects hypothesis testing of the regression in the following way: If the variance of the error term is high, it means that the noise in the data is large, and hence the accuracy of the parameter estimates is low.

As a result, the t-statistics will be small, and the hypothesis tests will be less powerful.

Conversely, if the variance of the error term is low, the t-statistics will be large, and the hypothesis tests will be more powerful.

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(1). The estimation results may not be reliable.

(2). The correct regression model is: Y = Bo + B₁X + u.

(3). The measurement errors are not random, but systematic, they can lead to biased parameter estimates and erroneous statistical inference.

(4).  The variance of the error term is low, the t-statistics will be large, and the hypothesis tests will be more powerful.

(1). The term that contains the information of W in the above regression is B₁X₁. If X, and W, are negatively correlated, then the OLS estimator of B₁ becomes less precise. Hence, the estimation results may not be reliable.

(2). The model is used to test whether the treatment affects the outcome variable. The correct regression model is: Y = Bo + B₁X + u where X is randomized based on covariate W₁ and u is the error term.

(3). Yes, measurement errors in the dependent variable can cause problems in the ordinary least square estimation.

(4). The variance of the error term affects hypothesis testing of the regression in the following way: If the variance of the error term is high, it means that the noise in the data is large, and hence the accuracy of the parameter estimates is low.

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Intervention is most likely to be included in the secondary and tertiary levels of prevention.

In the context of public health and healthcare, prevention is typically categorized into three levels: primary, secondary, and tertiary.

The primary level of prevention focuses on preventing the onset of diseases or health conditions before they occur. This is achieved through measures such as promoting healthy lifestyles, providing vaccinations, and implementing public health education campaigns. Intervention is less common at this level, as the main goal is to prevent the occurrence of the health issue in the first place.

The secondary level of prevention involves early detection and intervention to prevent the progression of a disease or health condition. This may include screenings, diagnostic tests, and prompt treatment. Intervention plays a crucial role at this level, as the focus is on identifying and addressing health issues at an early stage to minimize their impact.

The tertiary level of prevention aims to minimize the impact of an existing disease or health condition and prevent complications or further deterioration. Intervention is also prominent at this level, as it involves providing medical treatments, rehabilitation services, and ongoing care to manage the condition and improve quality of life.

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Answer:

9 sq.un.

Step-by-step explanation:

The polygon it is surrounded by an imaginary square of 4 X 4 units per side

To their area we subtract the areas of the imaginary triangles in white.

Results the area of the shaded polygon:

\(A=4^{2} -\frac{(2)(3)}{2} -2(\frac{(1)(3)}{2} )-\frac{(1)(2)}{2} =16-3-3-1=16-7=9sq.un.\)

Hope this helps

Answer:

9 sq. un

Step-by-step explanation:

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.