Find the midpoint of segment LK with endpoints L(-2, 4) and K(5,3).

Answer:

See solutions below

Step-by-step explanation:

a) Given the expressions

x³y and x⁴y³

Find their factors

x³y = (x * x * x * y)

x⁴y³ = (x * x * x * y) * x * y * y

GCF = x*x*x*y

GCF = x³y

The expressions in parenthesis is the GCF. Hence the GCF of x³y and x⁴y³ is x³y

b) For 48m⁶n⁵p⁴ and 20m⁴n⁵p⁶

48m⁶n⁵p⁴ =12 * (4 * m⁴ * n⁵ * p⁴) * m²  

20m⁴n⁵p⁶ = 5 * (4 * m⁴ * n⁵ * p⁴) * p²  

GCF is the expression common to both terms

GCF = 4 * m⁴ * n⁵ * p⁴

GCF = 4m⁴n⁵p⁴

The equation 3x = 6.4 can be solved for x by dividing both sides of the equation by 3: 3x/3 = 6.4/3; x = 2.13

So, for 3x and 6.4x to be equal, x must be equal to 2.13. This means that you need to multiply the number 6.4 by 2.13 to equal 3. The equation 3x = 6.4 represents the relationship between two variables, x and 3x. We are trying to find the value of x that would make 3x equal to 6.4. To do this, we divide both sides of the equation by 3. Dividing both sides of an equation by the same number does not change the relationship between the variables; it only scales down the variable's value by the same factor.

So, by dividing both sides of the equation by 3, we get:

3x/3 = 6.4/3

x = 2.13

Finally, to make 6.4x equal to 3, we need to divide 6.4 by 2.13: 6.4 / 2.13 = 3. So, we need to multiply 6.4 by 2.13 to equal 3.

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Answer:

Distributive Property

Step-by-step explanation:

16(4x -1) = 16 · 4x - 16·1
16 is distributed across both terms and multiplied by each term

An estimator is Unbiased if the Expected Value of the estimator is exactly equal to the parameter that it is estimating. The correct answer is A.

An estimator is a statistic used to estimate an unknown population parameter, such as the mean or variance. An unbiased estimator is one that, on average, produces estimates that are equal to the true value of the population parameter being estimated. This means that the expected value of the estimator is exactly equal to the parameter it is estimating.

For example, if we are trying to estimate the population mean μ using a sample mean x', the sample mean x' is an unbiased estimator of μ if the expected value of x' is exactly equal to μ. In other words, if we take many random samples from the population, the average of those sample means will be very close to the population mean.

Unbiasedness is an important property for an estimator to have because it ensures that the estimator is not systematically overestimating or underestimating the population parameter.

An estimator that is biased will tend to consistently overestimate or underestimate the true value of the parameter, which can lead to incorrect conclusions or decisions based on the estimates.

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C) f is decreasing for x<0 because f′(x)<0 for x<0. , we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.

The derivative of f is f′(x)=x2−a2=(x−a)(x+a).

This implies that f′(x)<0 when x<−a or x>a. From the derivative, we can deduce that f is decreasing for x<0 because f′(x)<0 for x<0.

The derivative of the function f is f′(x)=x2−a2=(x−a)(x+a), where a is a positive constant. This means that the derivative is negative when x<−a or x>a. We can use this information to determine the behavior of the function. Since the derivative is negative when x is less than zero, we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.

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Answer:

NOOOOOPPPPPEEEE

SSSOOORRRYYY   :(:(:(:(:(:(:(

Step-by-step explanation:

Answer:

13/2

Step-by-step explanation:

12−2x+1=0

−2x+13=0

−2x=−13

x= ​−13/-2

x=  13/2

​​  

​​  

Answer:

Step-by-step explanation:

A real number is called a zero of the polynomial f (x), if ​the polynomial results in zero when that number is plugged into the function

The first option with 2-year term and higher monthly payments is better since it results in less total paid in the end.

An individual borrower can receive a personal loan to utilise for personal, family, or household needs. The majority of personal loans are unsecured, which means they are not secured by property like a house or a car. Instead, the approval of a personal loan is determined by the borrower's creditworthiness and capacity to pay back the loan. The lender decides the loan amount, interest rate, and repayment conditions for a personal loan based on the borrower's credit score, income, and employment history, among other things. Personal loans are frequently used to pay for unforeseen bills, finance home improvements, and consolidate debt.

For the given plans of payment of 2 years and 5 years we have:

Option 1: 24 monthly payments of $354.56 = $8,534.56 total paid.

Option 2: 60 monthly payments of $154.66 = $9,279.60 total paid.

Comparing the total payment for the various years we have see that the plan with 2 years payment is better option.

Hence, the first option with 2-year term and higher monthly payments is better since it results in less total paid in the end.

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Blocking can allude to an assortment of activities, but for the most part, talking includes anticipating somebody or something from getting to or collaborating with a specific individual, framework, or asset. Here are a few of the common objectives and benefits of blocking:

Security: Blocking can be utilized as a security degree to anticipate unauthorized get too touchy data or assets. For illustration, arrange chairmen can piece certain IP addresses or spaces from getting to their company's servers to avoid hacking endeavors.

Protection: Blocking can too be utilized to secure individual protection. For occurrence, social media clients can piece other clients who are annoying them or posting improper substances.

Efficiency: Blocking can be utilized to extend efficiency by blocking diverting websites or apps during work hours.

Parental control: Guardians can utilize blocking to confine their children get to improper substances on the web or to constrain their time going through certain apps or websites.

Asset administration: Blocking can be utilized to oversee assets productively. For case, organize chairmen can piece certain applications or websites to avoid them from utilizing up as well as much transmission capacity.

Generally, the objective of blocking is to avoid undesirable or destructive intelligence or exercises, and the benefits incorporate expanded security, security, efficiency, and asset administration. 

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Answer:

\(x=z-\sqrt{-y} , or, x^2=z^2-y^2\\y=z-\sqrt{-x}, or, y^2=z^2-x^2\)

Step-by-step explanation:

I can't do much except put the Pythagorean theorem in terms of y or x.

All I did was isolate x or y by subtracting the, x or y variable from each side.

\(-(y^2)+x^2 +y^2=z^2-(x^2)\\-(y^2)+x^2 +y^2=z^2-(y^2)\)

Which tuns it into:

\(x^2=z^2-y^2\\y^2=z^2-x^2\)

And I isolated further by squaring each side, but squaring negative number is difficult and causes imaginary numbers so I just think it should stay as all of them to the power of two.

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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Answer:

1. Percent

2. Rate

3. Proportion

4. Ratio

5. 29% and/or 7.25/25

6. 7/20 and/or 0.35

7. 0.4 and/or 40%

8. 1,461 days

9. 6.3 miles

The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. We have to find the velocity and acceleration at t = π/3 s.

Let's first find the velocity of the mass. The velocity of the mass is given by the derivative of the position of the mass with respect to time.t = π/3 s
s(t) = 300 + 16 sin t cm
Differentiating both sides of the above equation with respect to time
v(t) = s'(t) = 16 cos t cm/s

Now, let's substitute t = π/3 in the above equation,
v(π/3) = 16 cos (π/3) cm/s
v(π/3) = -8√3 cm/s

Now, let's find the acceleration of the mass. The acceleration of the mass is given by the derivative of the velocity of the mass with respect to time.t = π/3 s
v(t) = 16 cos t cm/s
Differentiating both sides of the above equation with respect to time
a(t) = v'(t) = -16 sin t cm/s²
Now, let's substitute t = π/3 in the above equation,
a(π/3) = -16 sin (π/3) cm/s²
a(π/3) = -8 cm/s²
Given, s(t) = 300 + 16 sin t cm, the height of the mass oscillating at the end of a spring. We need to find the velocity and acceleration of the mass at t = π/3 s.
Using the above concept, we can find the velocity and acceleration of the mass. Therefore, the velocity of the mass at t = π/3 s is v(π/3) = -8√3 cm/s, and the acceleration of the mass at t = π/3 s is a(π/3) = -8 cm/s².
At time t = π/3 s, the velocity of the mass is -8√3 cm/s, and the acceleration of the mass is -8 cm/s².

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Yes, three-dimensional shapes, including polyhedra, have surface area. A polyhedron is a solid figure formed by flat faces, which are typically polygons, such as triangles, squares, or other multi-sided shapes. The surface area of a polyhedron is the total area of all its faces.

To find the surface area of a polyhedron, you must calculate the area of each individual face and then sum up these areas. The process varies depending on the type of polyhedron. For example, to find the surface area of a cube, you would calculate the area of one square face (side length squared) and multiply it by the number of faces (6). For a rectangular prism, you would calculate the area of each rectangular face and then add them together.

Other types of polyhedra, such as tetrahedrons or octahedrons, have different methods for calculating surface area, but the principle remains the same: find the area of each face and sum them up. Understanding the surface area of a polyhedron is important in many real-world applications, including architecture, engineering, and design, as it can be used to determine the amount of material needed for construction or the amount of paint required to cover a structure.

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Answer:

Step-by-step explanation:

what i do not undersante

"Why did you choose the outfit you wore today?" is an example of a open-ended question question.

An illustration of an open-ended question is "why did you choose the outfit you wore today?" An open-ended question is one that invites a range of responses and motivates the reply to give more specific information.

In this situation, a question is open-ended and is meant to inspire a unique response based on the person's preferences, views, or situation. In research, interviews, counseling, and other situations where gathering in-depth and varied information is desired, open-ended questions are frequently employed.

They can help researchers and practitioners better understand people's experiences and perspectives by offering insightful information about their thoughts, feelings, and behaviors.

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Answer:

x=11

Step-by-step explanation:

The number of trips that can be taken based on the money than they have is 27 trips.

The amount that each person has is illustrated below:

Carlos = $120

Roxana = $200

Claudia = $180..

In order to travel around Ambato, $18 is needed. Therefore, the trips that can be taken will be:

= Total amount / Value for each trip

= ($120 + $200 + $180) / 18

= 500 / 18

= 27

There'll be 27 trips.

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The function f(x) = ln(2 + sin(x))) is concave up for the range of x [0,2].

To discover the interval(s) on which f(x) = ln(2 + sin(x)) is concave up, compute the function's second derivative and check its sign.

To begin, compute the first derivative of f(x) with respect to x:

(1 / (2 + sin(x)) = f'(x)cos(x)

The second derivative of f(x) can therefore be found by taking the derivative of f'(x) with regard to x:

f''(x) = -(1/(2 + sin(x))(-sin(x)) cos2(x) + (1/(2 + sin(x))

When we simplify f''(x), we get:

f''(x) = -1/(2 + sin(x))²)sin(x)(sin(x)-2)

To discover the interval(s) where f(x) is concave up, we must first locate the interval(s) where f''(x) is positive. Because sin(x) might vary from -1 to 1, we must solve the inequality:

-(1/(2 + 1))^2(-1)(-1-2)≤f''(x)≤-(1 / (2 - 1))²(1) (1-2)

When we simplify this inequality, we get:

1/9 ≤ f''(x) ≤ -1/4

So, f is never negative at 0 ≤ x ≤ 2, so f is concave up in the range 0 ≤ x ≤ 2.

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Complete question - f(x) = ln(2 + sin(x)), 0 ≤ x ≤ 2 . Find the interval(s) on which f is concave up.

Answer: 7.5

Step-by-step explanation:

AREA OF TRIANGLE is (Base times Height) divided by two

SO,

2.5x6=15

15/2=7.5

BTW, I am on the same level- (level F) as you on Iready

Answer:

5x + 3

Step-by-step explanation:

We factor 25x^2 + 3x + 9.

25x^2 is a perfect square; 25x^2 = (5x)^2

9 is a perfect square; 9 = 3^2

This expression may be a perfect square trinomial.

25x^2 + 30x + 9 = (5x + 3)^2

We check the middle term: 2ab = 2 * 5 * 3 = 30

The coefficient, 30, is correct, so we are dealing with a perfect square trinomial.

length = 5x + 3

The correct answer is C. (5x+3) feet, and here is how I got it.

This is the equation you need to use:

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

So, let us plug in 5x and 3 here:

(5x+3)^2 = (5x+3)(5x+3) = 25x^2 + 15x + 15x + 9 = 25x^2 + 30x + 9 which is the area of the garden.

The value of the number 504.04 rounded to nearest tenth is 504.0

To round a number to the nearest tenth, we look at the digit in the hundredth place (the second digit after the decimal point).

In the case of 504.04, the digit in the hundredth place is 0, which is less than 5.

Therefore, we leave the digit in the tenth place unchanged, and 504.04 rounded to the nearest tenth is 504.0.

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Answer:

T²⁵⁴÷T²⁴³=

T²⁵⁴-²⁴³=

=T¹¹

done and thank you

Answer:

14.8

Step-by-step explanation:

3 * 4 + 2.8 =

The cosine of the angle between the planes is -1 / (3√3).

The cosine of the angle between two planes can be determined using their normal vectors. In this case, the given equations of the planes are:

Plane 1: 2x + 2y + 2z = 3

Plane 2: 2x – 2y – z = 5

To find the normal vectors of these planes, we can look at the coefficients of x, y, and z in each equation. The normal vector of Plane 1 is [2, 2, 2], and the normal vector of Plane 2 is [2, -2, -1].

The cosine of the angle between two vectors can be calculated using the dot product formula:

cos θ = (A · B) / (||A|| ||B||)

Where A and B are the normal vectors of the planes.

Taking the dot product of the two normal vectors, we have:

(2 * 2) + (2 * -2) + (2 * -1) = 4 - 4 - 2 = -2

Next, we calculate the magnitudes of the normal vectors:

||A|| = √(2² + 2² + 2²) = √12 = 2√3

||B|| = √(2² + (-2)² + (-1)²) = √9 = 3

Substituting the values into the cosine formula:

cos θ = (-2) / (2√3 * 3) = -1 / (3√3)

Therefore, the cosine of the angle between the planes is -1 / (3√3).

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Answer:

(3x-2)(x+4) =0

4x+2=0

4x=0-2

x=-2/4

x= -1/2

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

We are given a vector field F = (3x² + y)i + (x + y²)j and asked to determine if it is conservative, find a potential function for F, and evaluate the line integral of F along a specific curve.

To show that F is conservative, we need to check if its curl is zero. Computing the curl of F, we find ∇ × F = 0, indicating that F is indeed conservative.

To find a potential function for F, we integrate each component with respect to its respective variable. Integrating 3x² + y with respect to x gives us x³y + g(y), where g(y) is the constant of integration. Integrating x + y² with respect to y gives us xy + (1/3)y³ + h(x), where h(x) is the constant of integration. Therefore, the potential function for F is Φ(x, y) = x³y + xy + (1/3)y³ + C, where C is the constant of integration.

To evaluate the line integral ∫_C F · dr, where C is the arc of the parabola x = y² from (1,1) to (9,3), we parameterize the curve as r(t) = t²i + tj, where t ranges from 1 to 3. Substituting this parameterization into F and taking the dot product, we obtain the integrand. Evaluating the integral with the given limits, we can compute the final result.

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To find the value of x for which the two equations give the same value for y, we can set the expressions for y in both equations equal to each other and solve for x.

Given:

Equation 1: y = 3x + 6

Equation 2: 6x + 2y = 8

Substitute the expression for y from Equation 1 into Equation 2:

6x + 2(3x + 6) = 8

Simplify and solve for x:

6x + 6x + 12 = 8

12x + 12 = 8

12x = 8 - 12

12x = -4

x = -4/12

x = -1/3

Therefore, when x = -1/3, the two equations will have the same value for y.

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Answer:

its too blurry

Step-by-step explanation:

Answer:

slope intercept form is -2/3 for the first one

Answer:

The answer is16.25

Step-by-step explanation:

16 + 0.25 = 16.25

Answer:

Answer: -17

Step-by-step explanation:

1 ) x² - y2

2 ) -4² - .5(2)

3 ) -16 - 1

4 ) -17