pls help me i’ll mark brainliest !!

The triangle fοrmed by J(7,2), K(-4,9), and L(-3,-1) is a scalene οbtuse triangle.

A triangle is said tο be οbtuse scalene in geοmetry if οne οf its angles is larger than 90 degrees but less than 180 degrees, while the οther twο angles are bοth less than 90 degrees. Measurements fοr the three sides and angles vary.

Tο classify the triangle fοrmed by the pοints J(7,2), K(-4,9), and L(-3,-1), we need tο find the lengths οf its sides and apply the triangle classificatiοn criteria.

Using the distance fοrmula, we can find the lengths οf the sides:

\(JK = \sqrt{[(7 - (-4))^2 + (2 - 9)^2]} \\JK =\sqrt{ (11^2 + (-7)^2)} \\ JK =\sqrt{170} \\KL = \sqrt{[(-4 - (-3))^2 + (9 - (-1))^2]} \\KL =\sqrt{ (1^2 + 10^2) } \\KL = \sqrt{101} \\LJ = \sqrt{[(-3 - 7))^2 + ((-1) - 2)^2]} \\LJ=\sqrt{ (10^2 + (-3)^2)} \\LJ = \sqrt{109}\)

Since all three sides have different lengths, the triangle is scalene.

Therefοre, the triangle fοrmed by J(7,2), K(-4,9), and L(-3,-1) is a scalene οbtuse triangle.

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Answer: it is B

Step-by-step explanation:

:) please tell me if I am wrong

Answer:

It is C

Step-by-step explanation:

i had this question on my test

Answer:

∠A = 120° (180°-60°)

∠W = 60° (b/c ∠W=∠X)

∠Y = 100° (b/c 180°-80°)

∠X = 60° (180°-120°)

∠Z = 120° (180-60°)

Step-by-step explanation:

im unsure about A and W

Answer:

Answer:

$307

Step-by-step explanation:

$2.00  + $100  + $100  + $100  + $5.00 = $307

In all these stories, the authors use suspense, ambiguity, and unexpected plot twists to keep readers on edge and guessing what comes next. While the stories share some similarities in style and structure, they differ in terms of the specific themes and subject matter.

3. Summary of the story: Click Clack the Rattle Bag by Neil Gaiman is a spooky short story about a man walking his young granddaughter home from a party late one night. The young girl asks her grandfather to tell her a scary story to keep her distracted from the creepy noises and the darkness that surrounded them. The story is about an old man who goes to visit his neighbor's house to collect eggs. The neighbor gives him the eggs and warns him not to pay attention to the rattling bag in the corner of the room.4. The story unfolds gradually, and the author maintains an air of suspense by withholding key details about the story, such as who or what is inside the rattling bag. Gaiman uses this technique to keep the reader engaged, allowing them to imagine all kinds of potential horrors and keeps them guessing until the end.

5. Neil Gaiman's tone during his reading of Click Clack the Rattle Bag is calm, ominous, and measured, which adds to the suspense and fear factor of the story. The audience reacts with anticipation, fear, and wonder, while the reader feels a sense of foreboding and fear. At the end of the story, the reader is left with a sense of unease and discomfort.6. Gaiman's Click Clack the Rattle Bag is influenced by the stories we have read previously in this unit, such as Edgar Allan Poe's The Tell-Tale Heart, and The Monkey's Paw by W.W. Jacobs. In all these stories, the authors use suspense, ambiguity, and unexpected plot twists to keep readers on edge and guessing what comes next. While the stories share some similarities in style and structure, they differ in terms of the specific themes and subject matter.

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Answer:

The correct option is C. x=3, x=-2±√2/3.

Step-by-step explanation:

To find all the zeros of the polynomial function f(x) = 3x^3 - 5x^2 - 10x - 6, we can follow the steps outlined in the previous answer:

Write the polynomial function in descending order of degree: f(x) = 3x^3 - 5x^2 - 10x - 6.

Use the Rational Root Theorem to generate a list of possible rational zeros: ±1, ±2, ±3, ±6, ±(1/3), ±(2/3).

Use synthetic division to test each possible zero. We start with x = 1:

1 │ 3 -5 -10 -6

│ 3 -2 -12

└─────────────

3 -2 -12 -18

x = 1 is not a zero of the polynomial function.

We continue testing the remaining possible zeros:

-1 │ 3 -5 -10 -6

│ -3 8 2

└────────────

3 -8 -2 -4

x = -1 is not a zero of the polynomial function.

2 │ 3 -5 -10 -6

│ 6 2 -16

└─────────────

3 1 -8 -22

x = 2 is not a zero of the polynomial function.

-2 │ 3 -5 -10 -6

│ -6 22 -24

└────────────

3 -11 12 -30

x = -2 is not a zero of the polynomial function.

3 │ 3 -5 -10 -6

│ 9 12 6

└─────────────

3 4 2 0

Since the remainder is zero, we have found a zero of the polynomial function at x = 3.

We can use synthetic division to factor the polynomial function:

3x - 1

(x - 3)(3x^2 + 13x + 2)

Now we can solve for the remaining zeros of the polynomial function by factoring the quadratic equation using the quadratic formula or factoring by grouping. Either way, we find that the remaining zeros are approximately x = -4.87 and x = -0.435.

Therefore, the zeros of the polynomial function f(x) = 3x^3 - 5x^2 - 10x - 6 are x = -4.87, x = -0.435, and x = 3.

It's C because we found the zero x = 3 through synthetic division, and then we used the quadratic formula to find the other two zeros. The quadratic formula gave us two solutions, which we simplified to x = -2 + sqrt(2)/3 and x = -2 - sqrt(2)/3.

If we substitute these solutions back into the original polynomial function f(x), we get:

f(-2 + sqrt(2)/3) = 3(-2 + sqrt(2)/3)^3 - 5(-2 + sqrt(2)/3)^2 - 10(-2 + sqrt(2)/3) - 6

≈ 0

f(-2 - sqrt(2)/3) = 3(-2 - sqrt(2)/3)^3 - 5(-2 - sqrt(2)/3)^2 - 10(-2 - sqrt(2)/3) - 6

≈ 0

Both of these values are approximately zero, which means that -2 + sqrt(2)/3 and -2 - sqrt(2)/3 are also zeros of the polynomial function.

Therefore, the zeros of the polynomial function f(x) = 3x^3 - 5x^2 - 10x - 6 are x = 3, x = -2 + sqrt(2)/3, and x = -2 - sqrt(2)/3, which matches option C.

Hope this helps! I'm sorry if it's wrong. If you need more help, ask me! :]

Answer:

The first offer: 100.80 for 4kg

Step-by-step explanation:

To find the best offer, we just need to find the price per kilogram, and we do this by dividing the price by the number of kg:

100.80 for 4kg: 100.8/4 = 25.2 per kg

170.50 for 5kg: 170.5/5 = 34.1 per kg

260.60 for 6kg: 260.6/6 = 43.43 per kg

320.40 for 7kg: 320.4/7 = 45.77 per kg

The first offer has the smaller price per kg, so it is the best offer.

The solution to the differential equation is y(t) = 3cosh(3t) + 2sin(4t).

To solve this differential equation using Laplace transform, we first apply the transform to both sides of the equation:

L[day + 2dy/dt + y] = L[sinh(3t) - 5cosh(3t)]

Using the properties of Laplace transform and the derivative property, we get:

sY(s) - y(0) + 2[sY(s) - y(0)]/dt + Y(s) = 3/(s^2 - 9) - 5s/(s^2 - 9)

Substituting the initial conditions y(0) = -2 and y'(0) = 5, and simplifying the expression, we get:

Y(s) = (3s - 19)/(s^3 - 2s^2 - 3s + 18)

Now, we need to find the inverse Laplace transform of Y(s) to obtain the solution y(t). This can be done using partial fraction decomposition, which gives:

Y(s) = -1/(s - 3) + 4/(s + 2) + 2/(s - 3)^2

Taking the inverse Laplace transform of each term using the Laplace transform table, we get:

y(t) = -e^(3t) + 4e^(-2t) + 2te^(3t)

Therefore, the solution to the differential equation is y(t) = -e^(3t) + 4e^(-2t) + 2te^(3t).

To solve this differential equation using Laplace transform, we first apply the transform to both sides of the equation:

L[day/dt^2 - 4y - 5y] = L[e^3 + sin(4t)]

Using the properties of Laplace transform, we get:

s^2Y(s) - sy(0) - y'(0) - 4Y(s) - 5Y(s) = 3/(s - 3) + 4/(s^2 + 16)

Substituting the initial conditions y(0) = 0 and y'(0) = 0, and simplifying the expression, we get:

s^2Y(s) - 9Y(s) = 3/(s - 3) + 4/(s^2 + 16)

Using partial fraction decomposition, we get:

Y(s) = (3s - 9)/(s^2 - 9) + (4s)/(s^2 + 16)

Taking the inverse Laplace transform of each term using the Laplace transform table, we get:

y(t) = 3cosh(3t) + 2sin(4t)

Therefore, the solution to the differential equation is y(t) = 3cosh(3t) + 2sin(4t).

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Answer:

y=2x+8

Step-by-step explanation:

Move 4x to other side and divide everything by 2

The number of people who waited at least 6 minutes is given as follows:

50 people.

The height of each bin of the histogram represents the number of observations of the data-set in the desired interval.

The desired outcomes for this problem are given as follows:

Hence the number of people who waited at least 6 minutes is given as follows:

20 + 15 + 10 + 5 = 50 people.

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Answer:

D

Step-by-step explanation:

120:10

Divide each by 12

= 12:1

= 12/1

=12

Answer:

Step-by-step explanation:

The surface area of the sides of the cylinder is A = 2πrh, where r is the radius and h is the height.  

Here this comes out to A = 2π(4)(7) = 56 π units^2

If you also want the combined area of the two ends (top and bottom of the cylinder), here's the calculation:

A = 2πr² = 2π(4 units)² = 32π units²

Answer:

its 88 pi

Step-by-step explanation:

i did it on khan

Answer:

\(y = \dfrac{1}{2}x-4\)

Step-by-step explanation:

       \(\sf slope = m =\dfrac{1}{2}\\\\Point (2, -3) ; x_1 = 2 \ \& y_1 = -3\\\\\boxed{\bf y - y_1 =m(x -x_1)}\)

         \(\sf y - [-3] = \dfrac{1}{2}(x - 2)\\\\y + 3 = \dfrac{1}{2}x - 2*\dfrac{1}{2}\\\\y + 3 = \dfrac{1}{2}x-1\\\\\)

                \(\sf y = \dfrac{1}{2}x - 1 - 3\\\\ y =\dfrac{1}{2}x-4\)

Answer: 21

Step-by-step explanation: f(-2) = 4· (-2)²-(-2) + 3 = 4·4 +2 +3

The image of each vertex as an ordered pair include the following:

A → A' (-5, -1).

B → B' (0, -6).

C → C' (-3, -9).

In Mathematics, the translation of a graph to the left is a type of transformation that simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation of a graph to the right is a type of transformation that simply means adding a digit to the value on the x-coordinate of the pre-image.

By translating the pre-image of triangle ABC horizontally right by 2 units and vertically down 5 units, the coordinates of triangle ABC include the following:

(x, y)                               →                  (x + 2, y - 5)

A (-7, 4)                        →                  (-7 + 2, 4 - 5) = A' (-5, -1).

B (-2, -1)                        →                  (-2 + 2, -1 - 5) = B' (0, -6).

C (-5, -4)                        →                  (-5 + 2, -4 - 5) = C' (-3, -9).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The given vector-valued function is\(r(t) = f(t) × g(t)\), where \(f(t) = t^3i − tj − tk\) and\(g(t) = 3ti + t^2j − (t + 8)k.\)

To find the domain of the vector-valued function, we need to determine the values of t for which both f(t) and g(t) are defined.

For f(t), there are no restrictions on the domain since it is defined for all real values of t.

For g(t), we need to consider the denominator (t + 8) in the k-component. To avoid division by zero, we set t + 8 ≠ 0 and solve for t: t ≠ -8.

Therefore, the domain of the vector-valued function r(t) is all real numbers except t = -8.

Main answer: The domain of the vector-valued function

\(r(t) = f(t) × g(t) is (-∞, -8) U (-8, ∞).\)

The domain of the vector-valued function \(r(t) = f(t) × g(t)\)can be found by determining the values of t for which both f(t) and g(t) are defined. The function\(f(t) = t^3i − tj − tk\)is defined for all real values of t since there are no restrictions on its domain.

However, for the function \(g(t) = 3ti + t^2j − (t + 8)k\),

we need to consider the denominator (t + 8) in the k-component. To avoid division by zero, we set t + 8 ≠ 0 and solve for t: t ≠ -8. Therefore, the domain of g(t) is all real numbers except t = -8. Finally, to find the domain of r(t), we need to consider the intersection of the domains of f(t) and g(t), which is (-∞, -8) U (-8, ∞).

The domain of the vector-valued function \(r(t) = f(t) × g(t) is (-∞, -8) U (-8, ∞).\)

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The solution to the system of equation is (14, 6)

1 / 2 x = 10 - 1 / 2 y

8 = x -y

Therefore, let's combine the equation.

1 / 2 x + 1 / 2 y = 10

x - y = 8

x + y = 20

x - y = 8

2y = 12

y = 12 / 2

y = 6

x = 20 - 6

x = 14

Therefore, the solution of the system of equation is (14, 6)

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Therefore, the conditional relative frequency that an employee who prefers a lunch event also prefers a catered event is 0.57, or 57% rounded to the nearest percent.

Relative frequency is a statistical concept that refers to the proportion or percentage of times a particular event or outcome occurs within a set of data. It is calculated by dividing the frequency of the event (i.e., the number of times it occurs) by the total number of observations or events in the dataset. In other words, the relative frequency of an event is the ratio of its frequency to the total number of events in the dataset.

Here,

To calculate the conditional relative frequencies based on the row totals, we need to divide each value in the table by the sum of its respective row. Then, we round the results to the nearest hundredth. The resulting table is:

Meal

Meal

Lunch Dinner

Menu

Potluck 0.43 0.57

Catered 0.38 0.62

To find the conditional relative frequency that an employee who prefers a lunch event also prefers a catered event, we need to look at the "Lunch" row of the table. Specifically, we need to find the value in the "Catered" column, which represents the number of employees who prefer a lunch event and a catered event, and divide it by the sum of the "Lunch" row. That is:

Conditional relative frequency = Catered/Lunch

= 48/(36+48)

≈ 0.57

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Answer: valu of a

Step-by-step explanation: I Did the test

Answer:

The value of A affects the answer.

Answer:

not B

Step-by-step explanation:

I took the test

Answer:

The drama club bought 35 t-shirt

Step-by-step explanation:

Let

t-shirt = x

Sweatshirt = y

Total cost = $795

They purchase 20 more tshirts than sweatshirts

x = y + 20

The equation is:

12x + 25y = 795

12(y + 20) + 25y = 795

12y + 240 + 25y = 795

37y = 795 - 240

37y = 555

y = 15

Substitute y = 15 into

x = y + 20

x = 15 + 20

x = 35

t-shirt = 35

Sweatshirt = 15

The drama club bought 35 t-shirt

Answer:

w = 4

Step-by-step explanation:

10(2)-4(-w)=36

20+4w=36

4w=36-20

4w=16

w=16/4

w=4

Answer:

A. One solution

Step-by-step explanation:

6 + x/5 = x/5 - 5 - 3x/10

Cancel equal terms on both sides.

6=-5-3x/10

Multiply both sides of the equation by 10.

60=-50-3x

Move the variable to the left-hand side and change the sign.

60+3x=-50

Move the constant to the right-hand side and change the sign.

3x=-50-60

Calculate the difference.

3x=-110

Divide both sides by 3.

x=-110/3

=-36 2/3

Meaning one solution.

Hope this helps :)

Answer:

The answer you are looking for is A

Answer:

first option

Step-by-step explanation:

The solution to the system of equations given graphically is at the point/s of intersection of the 2 functions.

There is only 1 point of intersection at about x = 1.5

Answer:

30,324

Step-by-step explanation:

30,000 x 4.5 = 135.00

135.00 x 4 + 540.00 four quarters in a year

6 years  x 540 = 3,240

30,000 + 3,240 = 33. 240

Step-by-step explanation:

3.2  liters    divided by 300 ml / bottle is

3200 ml / 300 ml/bottle = 10 2/3 bottles  

             10 full bottles plus 2/3 of a bottle left over

                        2/3 bottle * 300 ml/bottle = 200 ml left over

First and foremost, it is important to note that human skin color is determined by a variety of factors, including genetics, environmental influences, and geographic location. In fact, skin color is the result of the amount and type of melanin pigment produced by specialized cells in the skin called melanocytes.

There are two main types of melanin pigment: eumelanin and pheomelanin. Eumelanin is responsible for producing darker skin colors, while pheomelanin produces lighter skin colors. However, the amount and distribution of these pigments can vary greatly between individuals, resulting in a wide range of skin tones.

Additionally, skin color can also be influenced by factors such as sun exposure, age, and hormonal changes. For example, prolonged sun exposure can lead to darker skin, while aging and hormonal changes can cause changes in skin pigmentation. Furthermore, it is important to note that skin color is not always clearly defined or easily categorized into specific shades. There can be a great deal of variation within a single skin tone, as well as overlap between different skin tones. This is due to the complex interplay of genetic and environmental factors that contribute to skin color.

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Answer:

Engineers use the Pythagorean Theorem to figure out measurements of objects.

Answer:

12

Step-by-step explanation:

Answer:

m = 12, f = 3

So, there are 12 multiple-choice questions on the test.

The Standard deviation is a crucial concept in AP Stat and is used in various statistical calculations to interpret and analyze data

The symbol for standard deviation in AP Stat is σ, which is the Greek letter sigma. It is used to measure the degree of variation or dispersion in a set of data from the mean value.What is the standard deviation symbol AP Stat?Standard deviation is the mathematical term for measuring the variability or dispersion of a set of data from its mean value. It tells us how far the data points are spread out from the average value, which helps in determining the reliability of the data.σ is the standard deviation symbol in AP Stat, which is the Greek letter sigma. The formula for standard deviation is given as: σ = √[∑(x - μ)² / N] where x is the value of each observation, μ is the mean of the values, and N is the total number of observations. The formula calculates the average distance of each value from the mean value, squared. The square root of the variance is the standard deviation.Explain Standard deviation?Standard deviation is used in several areas, including finance, science, and engineering. It can help in comparing different sets of data and can also be used to identify the outliers, which are the values that differ significantly from the rest of the data. The greater the standard deviation, the more spread out the data is, and the smaller the standard deviation, the more closely clustered the data points are around the mean value. It is also useful in analyzing the normal distribution of data as it can tell us the percentage of data that falls within one, two, or three standard deviations from the mean. Standard deviation is a crucial concept in AP Stat and is used in various statistical calculations to interpret and analyze data.

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