4h+1.7cm=10.5cm

Find the value for h

The equation 2 - 3(x + 4) = 3(3 - x) has no solution for x

From the question, we have the following parameters that can be used in our computation:

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

Open the brackets

So, we have

2 - 3x - 12 = 9 - 3x

Evaluate the like terms

So, we have

-10 = 9

The above equation is false

Hence, the equation has no solution

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Answer:

GCF: 3 , While answer to addition problem is 36.

Step-by-step explanation:

* Help me with mine please thanks*

Based on the survey data, we can conclude that a higher proportion of teenagers own an iPod or MP3 player compared to young adults.

To determine if the difference is significant, we need to conduct a hypothesis test. We can begin by stating the null hypothesis as "there is no significant difference in the proportion of all teens and young adults who would say they own an iPod or MP3 player."

We can also state the alternative hypothesis as "there is a significant difference in the proportion of all teens and young adults who would say they own an iPod or MP3 player."

Next, we need to determine the test statistic and calculate the p-value to determine if the difference in the proportions is statistically significant. Assuming that the data follows a normal distribution, we can use a two-sample z-test to test our hypothesis.

Using a significance level of 0.05, we find that the test statistic is 3.07, and the p-value is 0.002. Since the p-value is less than the significance level, we can reject the null hypothesis and conclude that there is convincing evidence of a difference in the proportions of all teens and young adults who would say they own an iPod or MP3 player.

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Answer:

Step-by-step explanation:

\(S_{n}\) = \(\frac{a_{1} (1-r^{n} )}{1-r}\)

\(S_{75}\) = \(\frac{10(1-0.9^{75} }{1-0.9}\) = 10(1 - 0.00037) / 0.1 = 99.96

Answer:

Following are the solution to this question:

Step-by-step explanation:

In the query, there is an error. This will find Angle YXZ and the angle YZX.  

The student said YXZ angle and YXZ angle but he said it was incorrect. I've been doing my hardest to fix it.

\(\to \sin x = \frac{\text{opposite side of x}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\\to \sin x = \frac{1}{2}\\\\\to \sin x = \sin 30^{\circ}\\\\\to x = 30^{\circ} \\\\\to \angle YXZ = 30^{\circ}\\\\\)

\(\to \cos Z = \frac{\text{Adjacent side of z}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\ \to \cos Z = \frac{1}{2}\\\\ \to \cos Z= \cos 60^{\circ}\\\\\to Z = 60^{\circ} \\\\ \to \angle YZX = 60^{\circ}\)

Main Answer:The events A and B are not independent.

Supporting Question and Answer:

How can we determine if two events A and B are independent using a contingency table?

To determine if two events A and B are independent using a contingency table, we need to compare the probabilities of each event occurring separately (P(A) and P(B)) with the probability of both events occurring together (P(A and B)). If the product of the individual probabilities (P(A) ×P(B)) is equal to the probability of the intersection (P(A and B)), then the events are independent.

In the given contingency table, we can calculate the probabilities P(A), P(B), and P(A and B) by dividing the number of observations in each category by the total number of observations.

Body of the Solution:To find the probabilities A|B, A|B', and A'|B', we need to use the given contingency table:

Table: B B'

A 30 40

A' 40 20

a. A|B represents the probability of event A occurring given that event B has occurred. In this case, A|B can be calculated as:

A|B = P(A and B) / P(B)

P(A and B) is the number of observations in both A and B (30 in this case), and P(B) is the total number of observations in B (30 + 40 = 70).

A|B = 30 / 70 = 3/7

Therefore, A|B is 3/7.

b. A|B' represents the probability of event A occurring given that event B has not occurred. In this case, A|B' can be calculated as:

A|B' = P(A and B') / P(B')

P(A and B') is the number of observations in both A and B' (40 in this case), and P(B') is the total number of observations in B' (40 + 20 = 60).

A|B' = 40 / 60 = 2/3

Therefore, A|B' is 2/3.

c. A'|B' represents the probability of event A not occurring given that event B has not occurred. In this case, A'|B' can be calculated as:

A'|B' = P(A' and B') / P(B')

P(A' and B') is the number of observations in both A' and B' (20 in this case), and P(B') is the total number of observations in B' (40 + 20 = 60).

A'|B' = 20 / 60 = 1/3

Therefore, A'|B' is 1/3.

To determine if events A and B are independent, we need to compare the probabilities of A and B occurring separately to the probability of their intersection.If the probabilities are equal, the events are independent.

Let's calculate these probabilities:

P(A) = (observations in A) / (total observations) = (30 + 40) / (30 + 40 + 40 + 20) = 70 / 130 = 7/13

P(B) = (observations in B) / (total observations) = (30 + 40) / (30 + 40 + 40 + 20) = 70 / 130 = 7/13

P(A and B) = (observations in A and B) / (total observations)

= 30 / 130 = 3/13

Since P(A) ×P(B) = (7/13)× (7/13) = 49/169, and P(A and B) = 3/13, we can see that P(A) × P(B) ≠ P(A and B).

Therefore, events A and B are not independent.

Final Answer: Thus, events A and B are not independent.

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The events A and B are not independent. To determine if two events A and B are independent using a contingency table, we need to compare the probabilities of each event occurring separately (P(A) and P(B)) with the probability of both events occurring together (P(A and B)).

If the product of the individual probabilities (P(A) ×P(B)) is equal to the probability of the intersection (P(A and B)), then the events are independent.

In the given contingency table, we can calculate the probabilities P(A), P(B), and P(A and B) by dividing the number of observations in each category by the total number of observations.

Body of the Solution: To find the probabilities A|B, A|B', and A'|B', we need to use the given contingency table:

Table: B B'

A 30 40

A' 40 20

a. A|B represents the probability of event A occurring given that event B has occurred. In this case, A|B can be calculated as:

A|B = P(A and B) / P(B)

P(A and B) is the number of observations in both A and B (30 in this case), and P(B) is the total number of observations in B (30 + 40 = 70).

A|B = 30 / 70 = 3/7

Therefore, A|B is 3/7.

b. A|B' represents the probability of event A occurring given that event B has not occurred. In this case, A|B' can be calculated as:

A|B' = P(A and B') / P(B')

P(A and B') is the number of observations in both A and B' (40 in this case), and P(B') is the total number of observations in B' (40 + 20 = 60).

A|B' = 40 / 60 = 2/3

Therefore, A|B' is 2/3.

c. A'|B' represents the probability of event A not occurring given that event B has not occurred. In this case, A'|B' can be calculated as:

A'|B' = P(A' and B') / P(B')

P(A' and B') is the number of observations in both A' and B' (20 in this case), and P(B') is the total number of observations in B' (40 + 20 = 60).

A'|B' = 20 / 60 = 1/3

Therefore, A'|B' is 1/3.

To determine if events A and B are independent, we need to compare the probabilities of A and B occurring separately to the probability of their intersection. If the probabilities are equal, the events are independent.

Let's calculate these probabilities:

P(A) = (observations in A) / (total observations) = (30 + 40) / (30 + 40 + 40 + 20) = 70 / 130 = 7/13

P(B) = (observations in B) / (total observations) = (30 + 40) / (30 + 40 + 40 + 20) = 70 / 130 = 7/13

P(A and B) = (observations in A and B) / (total observations)

= 30 / 130 = 3/13

Since P(A) ×P(B) = (7/13)× (7/13) = 49/169, and P(A and B) = 3/13, we can see that P(A) × P(B) ≠ P(A and B).

Therefore, events A and B are not independent.

Thus, events A and B are not independent.

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Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Answer:

37

Step-by-step explanation:

triangles' inside angles always equal 180. so 100+43=143. 180-143=37

The margin of error for a 90% confidence interval with a sample size of 150 and a proportion of 0.67 is 0.0252, or 2.52%.

The margin of error is calculated using the following formula:

margin of error = z * sqrt(p(1-p) / n)

where:

* z is the z-score for the desired confidence level (1.645 for a 90% confidence interval)

* p is the proportion of the population with the characteristic of interest (0.67 in this case)

* n is the sample size

Plugging these values into the formula, we get:

```

margin of error = 1.645 * sqrt(0.67 * (1-0.67) / 150) = 0.0252

```

This means that we can be 90% confident that the true proportion of the population with the characteristic of interest lies within 2.52 percentage points of the sample proportion. In other words, if we were to repeat this sampling process many times, we would expect the true proportion to fall within 2.52 percentage points of the sample proportion 90% of the time.

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Answer: 1.8 L/h

Step-by-step explanation:

To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.

Step 1:

First, let's convert the rate from millilitres per second to litres per second.

There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:

\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)

Step 2:

We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:

\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)

Therefore, the rate of water dripping from the tap is 1.8 L/h.

----------------------------------------------------------------------------------------------------------

The problem requires finding a basis for the orthogonal complement of a line L in R³. We are given the vector [7; -9; -4], which spans the line L. The orthogonal complement of L, denoted as L⊥, consists of all vectors in R³ that are orthogonal to every vector in L.

To find a basis for L⊥, we need to determine vectors that are orthogonal to the given vector [7; -9; -4], which spans the line L.

Step 1: Find a basis for L.

The vector [7; -9; -4] spans the line L. We can consider it as the direction vector of the line.

Step 2: Orthogonal complement.

To find vectors that are orthogonal to [7; -9; -4], we can set up the dot product equal to zero:

[7; -9; -4] · [x; y; z] = 0

7x - 9y - 4z = 0

We can solve this equation for z in terms of x and y:

z = (7x - 9y)/4

Step 3: Determine a basis for L⊥.

We can choose values for x and y and calculate the corresponding z values to obtain different vectors in L⊥. To ensure linear independence, we need to choose linearly independent x and y values.

For example, let's choose x = 1 and y = 0:

z = (7(1) - 9(0))/4 = 7/4

Therefore, one vector in L⊥ is [1; 0; 7/4].Let's choose another linearly independent x and y value, such as x = 0 and y = 1:

z = (7(0) - 9(1))/4 = -9/4

Another vector in L⊥ is [0; 1; -9/4].In summary, a basis for L⊥ is {[1; 0; 7/4], [0; 1; -9/4]}. These vectors are orthogonal to the given vector [7; -9; -4], and they are linearly independent.

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Diversity encompasses multiple dimensions such as life experiences, educational background, geographic origin, and age that is option E.

Diversity encompasses a range of factors including life experiences, educational background, geographic origin, and age. It goes beyond a single dimension and encompasses various aspects that contribute to differences among individuals. By embracing diversity in all its forms, organizations and communities can benefit from a wider range of perspectives, ideas, and talents.

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Answer: x=-4. So C

Step-by-step explanation:

2x-1=-9

add 1 on both sides

2x=-8

divide 2 on both sides to isolate the variable

x=-4

The 50th derivative of y=cos2x is \(& y^{50}(x)=-2^{50} \cos (2 x)\).

Consider y=cos 2x

Derivative: The rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.

Finding the nth derivative means to take a few derivatives (1st, 2nd, 3rd…) and look for a pattern. If one exists, then you have a formula for the nth derivative. To find the nth derivative, find the first few derivatives to identify the pattern.  Apply the usual rules of differentiation to a function, then find each successive derivative to arrive at the nth.

The first derivative is

\($$\begin{aligned}& y^{\prime}=-2 \sin 2 x \\& =-2\left[\cos \left(2 x+\frac{\pi}{2}\right)\right]\end{aligned}$$\)

The second derivative is

\($$y^{\prime \prime}=-2^2\left[\cos \left(2 x+2 \cdot \frac{\pi}{2}\right)\right]$$\)

Similarly, we get the \(n^{th}\) derivative

\($$y^n(x)=-\left[2^n \cos \left(2 x+n \frac{\pi}{2}\right)\right]$$\)

When n=50

\($$\begin{aligned}& y^{50}(x)=-\left[2^{50} \cos \left(2 x+50 \cdot \frac{\pi}{2}\right)\right] \\& y^{50}(x)=-2^{50} \cos (2 x)\end{aligned}$$\)

Therefore, the \(50^{th}\) derivative of y = cos 2x is \(& y^{50}(x)=-2^{50} \cos (2 x)\).

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A 95% confidence interval with a 4% margin of error suggests that your statistic will be 95% of the time within 4 percentage points of the true population value.

A survey, may reveal that the 98% confidence interval is between 4.88 and 5.26. So, if the poll is repeated using the same methods, the true population parameter (parameter vs. statistic) will fall 98% of the time within the interval estimates (i.e. between 4.88 and 5.26).

The formal definition, on the other hand, includes a little more information. The margin of error in a confidence interval is defined as the range of values below and above the sample statistic. The confidence interval is a tool for demonstrating the level of uncertainty associated with a certain statistic (i.e. from a poll or survey).

In 2012, a Gallup poll (incorrectly) predicted that Romney would win the election, with Romney polling at 49% and Obama polling at 48%. The declared level of confidence was 95%, with a margin of error of 2. We can conclude that the results were computed to be 95% accurate within 2 percentage points.

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Answer:answer y  =  337.5

Step-by-step explanation:

y varies directly with x,  so  y = kx   , where  k  is some constant.

y  =  kx        When  y = 75 ,  x = 1/2 .   So

75  =  k(1/2)       Multiply both sides by  2 .

150  =  k

y  =  150x

To find  y  when  x = 2  , plug in  2  for  x .

y  =  150( 2 )        1/4 = 0.25 ,  so  2 + 1/4 = 2.25

y  =  150( 2.25 )

y  =  337.5

The polynomial function of least degree with integral coefficients is equal to f(x) = x³ - 4x² + x + 6 with the given zeros 3, 2, -1.

As given in the question,

Given zeros of the polynomial function are :

3, 2, -1

⇒ ( x - 3 ) =0 or ( x - 2 ) = 0 or ( x + 1 ) = 0

Polynomial function of the given factors  ( x - 3 ) =0 or ( x - 2 ) = 0 or

( x + 1 ) = 0 is given by :

f (x ) = ( x - 3 )( x - 2 )( x + 1 )

⇒ f(x) = ( x² - 3x - 2x + 6 ) ( x + 1 )

⇒ f(x) = ( x² - 5x + 6 ) ( x + 1 )

⇒ f(x) = x³ + x² -5x² - 5x + 6x + 6

⇒f(x) = x³ - 4x² + x + 6

Therefore, the required polynomial function of least degree with integral coefficients using given zeros is equal to f(x) = x³ - 4x² + x + 6.

The complete question is:

Write a polynomial function of least degree with integral coefficients that has the given zeros 3, 2, -1?

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Answer:

Step-by-step explanation:

23.) 0.29

24.) 0.32

25.) 0.04

26.) 0.73

27.) 0.65

28.) 0.88

(Excuse me, but what grade are you in?)

Answer:

23. 0.29 Dollars

24. 0.32 Dollars

25. 0.04 Dollars

26. 0.73 Dollars

27. 0.65 Dollars

28. 0.88 Dollars

Step-by-step explanation:

Fundamental Method ==>

\(1 \times \frac{percentge}{100} \)

By Z.Khan

Answer:

y = 42 and/or x = 36

Step-by-step explanation:

y + 48 = 90
y = 42 (subtracted 48 from 90)

3x + 2x = 180 (angles are linear pairs)
5x = 180 (combine like terms)
x = 36 (divided by 5 on both sides)

I didn't know which question you needed help with, I hope this makes sense :)

❄ Hi there,

the sum of complementary angles is always 90°.

If we know one of these angles, we can set up an equation –

\(\triangleright\sf{y+48=90}\)

and then solve for y...

\(\triangleright \ \sf{y=42}\)

That's it!

❄

The conclusion of the hypothesis is that we fail to reject the null hypothesis and conclude that the means are different.

Let us first define the hypothesis;

Null Hypothesis; H₀: μ_a = μ_b

Alternative Hypothesis; Hₐ: μ_a ≠ μ_b

From the given significance value, we can say that we will reject H₀ if the calculated test statistic is greater than 2.797 or t is less than 2.797.

The pooled variance from the attached table with the aid of a statistics calculator gives;

Pooled variance = 0.5938

The test statistic from online calculator is; t = -3.299 or 3.299

This test statistic falls falls within the rejection region and so we reject the null hypothesis and conclude that there is a difference in the average errors of the two processes.

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The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

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Ashley used 8/25 of the spool for her project.

To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):

(4/5) * (2/5) = 8/25

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The mean decreases and the median remains the same.

option D.

The mean and median of the distribution is calculated as follows;

Initial mean =  $40 + $83 + $37 + $40 + $31 + $68

= 299 / 6

= $49.8

Final mean;

Total = $40 + $83 + $37 + $40 + $31 + $68 + $23

Total = $322

mean = $322 / 7 = $46

To find the median, we first need to put the earnings in order from smallest to largest.

median = $23, $31, $37, $40, $40, $68, $83

the median is the fourth number =  $40.

The initial median and final median will be the same.

Thus, mean decreases and the median remains the same.

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Answer:

Result for Inequality expression 1:

\(x < 5\)

Result for Inequality expression 2:

\(x \geq -3\)

Step-by-step explanation:

-Inequality expression 1:

\(2x - 3 < 7\)

-Inequality expression 2:

\(5 - x \leq 8\)

-Solve inequality expression 1:

\(2x - 3 < 7\)

\(2x - 3 + 3 < 7 + 3\)

\(2x < 10\)

\(\frac{2x}{2} < \frac{10}{2}\)

\(\boxed {x < 5}\)

-Solve inequality expression 2:

\(5 - x \leq 8\)

\(5 - 5 - x \leq 8 - 5\)

\(- x \leq 3\)

\(\frac{-x}{-1} \leq \frac{3}{-1}\)

\(\boxed {x \geq -3}\) (inequality sin changed by divide by a negative integer or variable)

The following inequality represents the solution set -

-3 ≤ x < 5.

We have the following compound inequality -

2x – 3 < 7

5 – x ≤ 8

We have to solve for x.

A compound inequality (or combined inequality ) is two or more inequalities joined together with OR or AND. There are two types of compound inequalities in the form of conjunction problems and disjunction problems.

According to the question, we have -

2x – 3 < 7

Add 3 on both sides -

2x - 3 + 3 < 7 + 3

2x < 10

Divide both sides by 2, we get -

x < 5

5 – x ≤ 8

Subtract 5 on both sides -

5 - x - 5 ≤ 8 - 5

- x ≤ 3

Multiply both sides by '-1' -

x ≥ -3

Combining both solutions, we can write it as -

-3 ≤ x < 5

Hence, the following inequality represents the solution set -

-3 ≤ x < 5

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Answer:

the price of a hamburger and the price of a slice of pizza is $0.5 and $7.75 respectively

Step-by-step explanation:

Let us assume the price of a hamburger be x

And, the price of a slice of pizza be y

So the equations are

7x + 3y = 20-1

7x + 3y = 19........(1)

And,

8x + 2y = $19.50........(2)

Now multiply by 2 in equation 1 and 3 in equation 2

So,

14x + 6y = 38

16x + 6y = 39

-2x = -1

x = 0.5

so y =

4 + 2y = $19.50

2y = $19.50 - 4

y = 7.75

Hence, the price of a hamburger and the price of a slice of pizza is $0.5 and $7.75 respectively

Answer:

11- 64 degrees

12- 66 degrees

13- 89 degrees

14- 99 degrees

Step-by-step explanation:

11. 100 + 130 + 66 = 296

360 - 296 = 64

12. 103 + 133 + 58 = 294

360 - 294 = 66

13. 154 + 88 + 29 = 271

360 - 271 = 89

14. 101 + 92 + 68 = 261

360 - 261 = 99

hope this helps :)

Answer:  see proof below

Step-by-step explanation:

Given: A + B + C = π                →      A + B = π - C

                                                         A + C = π - B

                                                         B + C = π - A

Cofunction Identities:       sin [(π/2) - A] = cos A

                                          cos [(π/2) - A] = sin A

Sum to Product Identity:   sin A - sin B = 2 cos [(A + B)/2] · sin [(A - B)/2]

Pythagorean Identity:       cos²A + sin²A = 1    →   cos²A = 1 - sin²A

Even/Odd Identity:           cos (-A) = -cos(A)

Double Angle Identity:     cos (2A) = 2 cos²A - 1

Proof LHS → RHS:

LHS:                      cos [(B + C) - A] - cos [(A + C) - B] + cos [(A + B) + C]

Given:                   cos [(π - A) - A] - cos [(π - B) - B]  + cos [(π - C) - C]

                         =  cos (π -2A) - cos (π -2B) + cos (π -2C)

Cofunction:          cos (-2A)  - cos (-2B) + cos (-2C)

Even/Odd:            -cos (2A) + cos (2B) - cos (2C)

Double Angle:     -(2cos²A - 1) + cos (2B) - cos (2C)

                           = 1 - 2cos²A + cos (2B) - cos (2C)

Sum to Product:    1 - 2cos²A - 2sin(B+C) · sin (B-C)

Given:                     1 - 2cos²A - 2sin (π - A) · sin (B - C)

Cofunction:             1 - 2cos²A - 2sin A · sin (B - C)

Pythagorean:         1 - 2(1 - sin²A) - 2sin A · sin (B - C)

                            = 1 - 2 + 2sin²A - 2sin A · sin (B - C)

                            =     -1 + 2sin²A - 2sin A · sin (B - C)

Factor:                        -1 + 2sin A (sin A - sin (B - C))

Given:                     -1 + 2sin A [sin (π - (B + C)) - sin (B - C)]    

Cofunction:             -1 + 2sin A [sin (B + C) - sin (B - C)]  

Sum to Product:      -1 + 2sin A [2 cos B · sin C]  

                               = -1 + 4sin A · cos B · sin C

LHS = RHS  \(\checkmark\)

We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).