factorize (4d-3e)2 +6d(4d-3e)​

The measure of angle JKL is 105⁰.

The measure of angle KJM is  75⁰.

In an isosceles trapezoid, the property of opposite angles is that they are congruent or equal in measure. Specifically, the two angles that are formed by the intersection of the non-parallel sides with the bases of the trapezoid are opposite angles, and they have the same measure.

The measure of angle JKL is calculated as;

m∠JKL = 27⁰ + 78⁰ = 105⁰

m∠JKL = 105⁰

The measure of angle KJM is calculated as;

m∠KJM = ¹/₂ (360 -  2x105)

m∠KJM = 75⁰

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Your current age is 13 years.

Five times my age 4 years ago is the same as 3 times my age in 2 years.

let

x = current age.

Therefore, the expression can be represented as follows

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

open the bracket

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

5x - 20 = 3x + 6

subtract 3x from both sides

5x - 3x - 20 = 3x - 3x + 6

2x - 20 = 6

add 20 to both sides

2x - 20 + 20 = 6 + 20

2x  = 26

divide both sides by 2

2x / 2 = 26 / 2

x = 13

Therefore, your current age is 13 years.

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The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer:B

Step-by-step explanation: Because it right

Answer:

Move on or try to find the answer using a different method or source.

Step-by-step explanation:

The single most reasonable next option for making progress towards the homework solution is to repeat the question soundlessly to yourself.

When faced with a challenging problem, repeating the question soundlessly to oneself is a technique known as "active rest" or "incubation." It allows the brain to continue processing the information subconsciously while temporarily shifting the focus away from the problem. This mental break can help reduce frustration and cognitive fatigue, which often occurs when tackling difficult tasks for an extended period.

Taking a quick nap or working late into the night without rest are not recommended options. Napping might be helpful in some situations, but if the schedule allows, a short mental break is more effective than a nap. Working late into the night without rest can lead to exhaustion, hindering clear thinking and problem-solving abilities.

Focusing harder on the problem may not be productive as it could lead to mental burnout. A brief break and returning with a fresh perspective can often lead to better problem-solving outcomes.

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------------The given question is incomplete, the complete question is:

"You are sitting down to do your homework. You work along, successfully solving the problems. But you then come across a problem that is more difficult. After spending fifteen minutes working on it, you begin to find yourself growing frustrated. What is the single most reasonable next option for you to take in order for you to make progress towards the solution?

Options:

- If your schedule allows for it, lie down for a few minutes and take a quick nap.

- Keep focusing on the problem harder and harder—you will eventually figure it out if you keep your attention on it

- Keep working late into the night—feeling exhausted, but NOT letting yourself sleep, will help you envision the solution.

- Repeat the question soundlessly to yourself."---------------

The difference of any two odd integers is even. This can be answered by the concept of Real number.

Proof: Let m and n be any odd integers. By definition of odd, there are integers r and s so that m can be expressed in terms of r and n can be expressed in terms of s as follows.

m = 2r + 1
n = 2s + 1

Now, we want to find the difference between m and n, which is (m - n).

(m - n) = (2r + 1) - (2s + 1)

Using the distributive property, we get:

(m - n) = 2r + 1 - 2s - 1

Simplifying further, we have:

(m - n) = 2r - 2s

Now, we can factor out 2 from the expression:

(m - n) = 2(r - s)

Since (r - s) is an integer, the difference (m - n) is a multiple of 2, which means it is even. Therefore, the difference of any two odd integers is even.

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Answer:

#1

#2

#3

#4

Answer:

Since the line is not filled in it has to be greater than or less than it cannot be equal to so x<-1.

Answer:

Answer: 25

Step-by-step explanation:

We are given that

We then input the values in the given equation:

\(\frac{x}{2} (y-z)\)

\(\frac{10}{2} (25-20)\)

Solve in the parenthesis first.

\(\frac{10}{2}(5)\)

Simplify the fraction.

\(5(5)\)

Multiply.

\(5* 5=25\)

The expression for the displacement function s(t) as a function of time t, with the initial condition s = 0 when t = 0, is:

s(t) = (2/9)t^9 + 4t + (1/3)t^3.

To find the expression for displacement s as a function of time t, we need to integrate the velocity function v(t) with respect to time.

Given that the velocity function is v(t) = 2t^8 + 4 + t^2, we integrate it to obtain the displacement function s(t).

∫v(t) dt = ∫(2t^8 + 4 + t^2) dt

To integrate each term separately, we apply the power rule of integration:

∫t^n dt = (t^(n+1))/(n+1), where n ≠ -1

Using the power rule, we can integrate each term of the velocity function:

∫2t^8 dt = (2/9)t^9

∫4 dt = 4t

∫t^2 dt = (1/3)t^3

Now, we can write the expression for the displacement function s(t):

s(t) = ∫v(t) dt = (2/9)t^9 + 4t + (1/3)t^3

Given that s = 0 when t = 0, we can substitute these values into the expression:

0 = (2/9)(0)^9 + 4(0) + (1/3)(0)^3

This equation simplifies to:

0 = 0

Therefore, the expression for displacement s(t) as a function of time t, with the initial condition s = 0 when t = 0, is:

s(t) = (2/9)t^9 + 4t + (1/3)t^3

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Answer:

4

Step-by-step explanation:

-6 + x/4 = -5 --> add 6 to both sides

x/4 = 1 --> times 4 on each side

x = 4

Answer:

B. y=-4

Step-by-step explanation:

Fiber optic  type of cable is uses a two-number designator consisting of core and cladding measurements.

What does fiber optics serve?

What methods are used to deploy fiber optics?

Can fiber optics compete with the internet?

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Formula for A in terms of B: A = ∫(B × r') / ||r - r'|| dr'

The missing link in the triangle summarizing the mathematical connections between A and B can be filled by writing down a formula for A in terms of B. This can be done by using the analogy between the equations defining A and the basic Maxwell's equations for B, and applying the Biot-Savart law. By using the basic idea from the first part, the vector potential in a situation where B is constant can be quickly found.

Physical situation creating constant B field:

A constant B field can be created by a current-carrying wire in the form of a straight line or a circular loop. The vector potential for this configuration can be found using the formula derived above.

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In multiple regression analysis, the correlation among the independent variables is termed as d. multicollinearity.

Basically, multiple regression analysis means a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables.

If the independent variables of the regression analysis is correlated, the it is called as multicollinearity.

Therefore, the option (d). multicollinearity is the answer

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the correlation between the independent variables is less than 0.5

a. To develop an estimated regression equation that predicts the selling price of a used Honda Accord given the mileage and age of the car, we can perform multiple linear regression analysis using the data provided in the "autoresale" file. The estimated regression equation can be obtained by fitting a linear model to the data using a statistical software package such as R, SAS, or Excel. Here is an example using R:

autoresale <- read.csv("autoresale.csv")

Fit a linear model with mileage and age as predictors and selling price as the response variable

model <- lm(price ~ mileage + age, data = autoresale)

price = -3976.57 + (-0.06234 * mileage) + (-847.18 * age)

Therefore, the estimated regression equation that predicts the selling price of a used Honda Accord given the mileage and age of the car is:

price = -3976.57 - 0.06234 * mileage - 847.18 * age

b. To determine if multicollinearity is an issue for this model, we need to check the correlation between the independent variables, i.e., mileage and age. The correlation can be calculated using a statistical software package or spreadsheet software such as Excel. Here is an example using R:

autoresale <- read.csv("autoresale.csv")

cor(autoresale$mileage, autoresale$age)

The correlation between mileage and age is -0.031

Since the correlation between the independent variables is less than 0.5, we conclude that multicollinearity is not an issue for this model. Therefore, the answer is:

"Since the correlation between the independent variables is less than 0.5, we conclude that multicollinearity is not an issue."

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Answer:

4^-2

Step-by-step explanation:

Answer:

\( 2^{-2} \)

Step-by-step explanation:

1/4 is between 0 and 1/2.

\( \dfrac{1}{4} = \dfrac{1}{2^2} = 2^{-2} \)

Answer:

I believe that the answer is C: 72 cm²

Answer:

34.64 m

Step-by-step explanation:

Tan 60 deg. = opposite side/adjacent side

Tan 60 degrees = x/20

(Tan 60 deg)(20) = x

34.64 = x

Answer: 140

Step-by-step explanation:

We know that the angle measures must add to 180 deg, so:

40 + x = 180

x = 140.

The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance is 10.76.

The critical value can be determined using a statistical table.

The degrees of freedom for the blocks is 4 (df_b = 5 - 1 = 4) and for the treatments is 2 (df_t = 3 - 1 = 2).

The critical value for a 5% level of significance is 10.76.

This value can be found in the statistical table given in the textbook.

The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance can be calculated by using the F-test statistic.

The F-test is used to compare the variance between the blocks (SSBL) and the variance between the groups (SSB).

The F statistic is calculated by dividing the variance between the blocks (SSBL) by the variance between the groups (SSB).

In this case,

The F statistic is 3738/1048.93 = 3.56.

The critical value for a 5% level of significance can be found using a statistical table.

According to the table,

The critical value for an F statistic of 3.56 with four degrees of freedom in the numerator and four degrees of freedom in the denominator is 10.76

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The approximate area between y=3x^(2)+1 and the x-axis on the interval -1 to 5 is 136.6875.

We can approximate the area between y=3x^(2)+1 and the x-axis on the interval -1 to 5 using a Riemann sum with 4 rectangles of equal width. The left-hand endpoint of each subinterval will be used.

The width of each rectangle is the length of the interval (5-(-1)) divided by the number of rectangles (4). Therefore, the width of each rectangle is

(5-(-1))/4 = 6/4 = 1.5.

Since we are using the left-hand endpoint of each subinterval, the x-values of the left-hand endpoints of the rectangles are

-1, -1+1.5

-1+1.5+1.5

-1+1.5+1.5+1.5 = -1+4.5=3.5

The height of each rectangle is determined by the value of y at the corresponding x-value.

Therefore, the heights of the rectangles are

3(-1)^2+1=2

3(-1+1.5)^2+1=7.125

3(3.5)^2+1=35.125

3(3.5+1.5)^2+1=46.875

The area of each rectangle is the product of its width and height, so the areas of the rectangles are

2*1.5=3

7.125*1.5=10.6875

35.125*1.5=52.6875

46.875*1.5=70.3125.

Therefore, the approximate area between y=3x^(2)+1 and the x-axis on the interval -1 to 5 is 136.6875.

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Answer:

Reflection

Step-by-step explanation: A reflection is a transformation that acts like a mirror.

Answer:

Reflection

Step-by-step explanation:

Translations are a horizontal and/or vertical movement of a shape. In this case, the points wouldn't match up. A dilation is either growth or reduction, which this pretty obviously is not. A rotation also wouldn't properly match the points up. If we reflect this shape across a line directly in between the two, all the points will match up.

Answer:

Step-by-step explanation:

You need to know trigonometry for this.\

You can't solve this without a scientific calculator.

TOA means Tan x = Opposite/Adjacent or in this case, 5.1/4.2

tan x = 5.1/4.2

arctant(tanx) = arctan(5.1/4.2)

x = arctan(5.1/4.2)

≈ 50.5°

arctan x is also known as tan inverse x

Step-by-step explanation:

(f o g)(x)

= f(x² - 5)

= 4(x² - 5) + 1

= 4x² - 19.

Therefore (f o g)(4) = 4(4)² - 19 = 64 - 19 = 45.

Answer:

\(\boxed {\boxed {\sf 45}}\)

Step-by-step explanation:

When solving a composition of function composition, work from the inside to the outside.

We have the composition:

We must start on the inside, and find g(4) first.

1. g(4)

The function for g is:

\(g(x)=x^2-5\)

Since we want to find g(4), we have to substitute 4 in for x.

\(g(4)=(4)^2-5\)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, and Subtraction. First we should solve the exponent.

\(g(4)=16-5\)

Subtract 5 from 16.

\(g(4)= 11\)

Now, since g(4) equals 11, we have:

2. f(11)

The function for f is:

\(f(x)= 4x+1\)

We want to find f(11), so substitute 11 in for x.

\(f(11)= 4(11)+1\)

Solve according to PEMDAS and multiply first.

\(f(11)= 44+1\)

Add.

\(f(11)= 45\)

(f o g)(4) is equal to 45.

Answer:

\(x = - \frac{1}{28} \)

Step-by-step explanation:

is your answer