Given two intersecting CHORDS and their intercepted arcs, how do I determine the angles of intersection of the chords?

Answers

Answer 1

Answer:

Angles of Intersecting Chords Theorem

Step-by-step explanation:

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Answer 2

Answer: If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and it's vertical angle.

Step-by-step explanation: Example: In the circle, the two chords -PR and -QS intersect inside the circle. since vertical angles are congruent, m<1=m<3 and m<2=m<4


Related Questions

Select the correct answer.
What is the justification for step 1 in the solution process?

8x + 15 = 11x + 2
Step 1: 8x = 11x − 13
A.
the addition property of equality
B.
the subtraction property of equality
C.
the multiplication property of equality
D.
the division property of equality

Answers

Answer:

b

Step-by-step explanation:

 

Answer:

b

Step-by-step explanation:

Select the correct answer from the drop-down menu.
A new park is adding two new walking paths, as indicated by and , which are measured in meters. The park resembles an isosceles trapezoid.
Figure shows a trapezium ABCD. AC and BD are diagonals. The length of BD is 14x plus 4, and AC is 11x plus 31.
Determine the length of each path.

A.
The length of each path is
130
meters.

B.
The length of each path is
140
meters.

C.
The length of each path is
120
meters.

D.
The length of each path is
150
meters.

Select the correct answer from the drop-down menu.A new park is adding two new walking paths, as indicated

Answers

A.The length of each path is 130 meters.

Given:

The park resembles an isosceles trapezoid.

Figure shows a trapezium . AC and BD are diagonals. The length of BD is 14x plus 4, and AC is 11x plus 31.

we know that:

Diagonals are equal in isosceles trapezoid.

14x + 4 = 11x + 31

14x - 11x = 31 - 4

3x = 27

divide by 3 on both sides

3x/3 = 27/3

x = 9

Diagonal length = 14x + 4.

= 14*9 + 4

= 126 + 4

= 130 meters.

Therefore The length of each path is 130 meters.

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Here is a table of values for y= f(x).
x -2 -1 0 1 2 3 4 5 6
f(x) 5 6 7 8 9 10 11 12 13
Mark the statements that are true.
A. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6).
B. The range for f(x) is all real numbers.
C. f(-1) = 6
D. f(5) = -2​

Answers

The statements that are true are:

A. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6).

C. f(-1) = 6

To determine the truth of each statement, we need to analyze the given table of values for the function f(x).

A. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6).

The x-values listed in the table are -2, -1, 0, 1, 2, 3, 4, 5, and 6. These are the inputs for the function, and therefore, they represent the domain of f(x). Thus, statement A is true.

B. The range for f(x) is all real numbers.

Looking at the y-values listed in the table for f(x), we can see that the range of f(x) is from 5 to 13. It does not include all real numbers, so statement B is false.

C. f(-1) = 6

From the table, we can see that when x = -1, f(x) = 6. Thus, statement C is true.

D. f(5) = -2

There is no entry in the table for f(5), so we cannot determine the value of f(5) from the given information. Therefore, statement D is false.

In conclusion, the true statements are A and C.

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Solve for length of segment c.
11 cm
10 cm
8.8 cm
c = [?] cm
If two segments intersect inside
or outside a circle: ab = cd

Solve for length of segment c.11 cm10 cm8.8 cmc = [?] cmIf two segments intersect insideor outside a

Answers

Answer:

c = 8

Step-by-step explanation:

Using the Intersecting Chords Theorem, we can form the following equation and solve for c:

\(ab=cd\\(10)(8.8)=11c\\88=11c\\c=8\)

34.03
A triangle on a coordinate plane is translated according to the rule T-3.5(x, y). Which is another way to write this rule?
(x, y) = (x – 3, y + 5)
O(x, y) = (x-3, y-5)
(x, y) = (x + 3, y-5)
(x,y) - (x + 3, y + 5)

Answers

Answer:

(x, y) → (x – 3, y + 5)

Step-by-step explanation:

This is because -3 is your x value so it would be x-3 and 5 is the y value and ts positive so it would be +5. That would go for anything that looks like your question.

The perimeter p(x) of a square tile is a function of the length x of a side square. Write a truncation rule for the perimeter of a square tile. Find and interpreter p(4)

Answers

The perimeter  of square tile is represented by  \(p(x)=4x\\\\\)  and value of  p(4) is 16 unit.

Since, Perimeter is the distance around the outside of a shape.

We know that all four sides of square are equal.

So that, perimeter of square tile is four times of side of square.

Therefore,   \(p(x)=4x\)

And   \(p(4)=4*4=16 unit\)

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Which statement describes the transformation of ΔABC? Is ΔA'B'C' ≅ ΔABC? Explain. A) ΔABC has reflected across the y-axis and translated left 7. ΔA'B'C' ≠ ΔABC because a reflection and translation are rigid transformations. Rigid transformations dilate the original figure. B) ΔABC has reflected across the x-axis and translated left 5. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure. C) ΔABC has reflected across line y-axis and translated left 5. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure. D) ΔABC has reflected across line p and translated left 7. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure.

Which statement describes the transformation of ABC? Is A'B'C' ABC? Explain. A) ABC has reflected across

Answers

Answer:

the answer is D

Step-by-step explanation:

because the! ABC moved 7 points and reflected over line p

A gym member tracked his weight. In the first week he gained 2 pounds. In the second week, he lost 5. In the third week, he lost 2 more. What was his overall change in weight?

Answers

He lost 5 pounds in the 3 weeks

Given the following probability distribution for the random variable X, what is the probability of the random variable X being at least seven?X-valueP(X)-60.3170.2380.1190.26100.09Write your answer as a decimal.

Given the following probability distribution for the random variable X, what is the probability of the

Answers

Given

The probability distribution for the random variable X is,

X - 6 7 8 9 10

P(X) - 0.31 0.23 0.11 0.26 0.09

To find the probability of the random variable X being at least seven.

Explanation:

It is given that,

The probability distribution for the random variable X is,

X - 6 7 8 9 10

P(X) - 0.31 0.23 0.11 0.26 0.09

Then,

\(\begin{gathered} P(at\text{ }least\text{ }7)=P(X=7)+P(X=8)+P(X=9)+P(X=10) \\ =1-P(6) \\ =1-0.31 \\ =0.69 \end{gathered}\)

Hence, the probability of the random variable X being at least seven is 0.69.

HELP ASAAAPPPO! Dawn is making an abstract painting with two triangles. The dimensions of the painting are shown below:

Two triangles share the same height of 8 inches. One triangle has a base of 6 inches and the other is 10 inches.
The total area of the two triangles is
???
square inches.

HELP ASAAAPPPO! Dawn is making an abstract painting with two triangles. The dimensions of the painting

Answers

the total area of the two triangles as shwon in the image is 70 in²

What is area?

Area can be defined as the total portion occuppied by a plane fiqure.

To calculate the total area of the two triangles, we use the formula below.

Formula:

Total area of the triangle = Area of the pink triangle+Area of the purple triangle

Area of the purple triangle = bh/2.................. Equation 1

Where:

b = Base of the purple triangle = 8 inh = Height of the purple triangle = 10 in

Substitute these values into equation 1

Area of the purple triangle = 8×10/2Area of the purple triangle = 40 in²

Similarly,

Area of the pink triangle = BH/2........ Equation 1

Where:

B = 6 inH = 10 in

Substitute these values into equation 2

Area of the pink triangle = 6×10/2Area of the pink triangle = 30 in²

Therefore, the total area of the two triangles is 40+30 = 70 in².

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If you flip a coin ten times, how many different sequences of heads and tails are possible? a. 2 Superscript 9 Baseline = 512 b. 10 squared = 100 c. 10 squared = 1024 d. 2 Superscript 10 Baseline = 1024

Answers

Answer:

1024

Step-by-step explanation:

I don't know what this superscript is but the answer is above.

Answer:OPTION D: 2^10 = 1024

Step-by-step explanation: I just took the quiz on edge.hope this helps :)

HELP PLS 15 POINTS first best is brainliest
What is the area of this figure?

Enter your answer in the box.

mm²

HELP PLS 15 POINTS first best is brainliestWhat is the area of this figure?Enter your answer in the box.

Answers

Answer:14mm

Step-by-step explanation:

What proves angle BDE is congruent to CDE. ∆ADB and ∆ADC are congruent.

What proves angle BDE is congruent to CDE. ADB and ADC are congruent.

Answers

Answer: We will use the SAS (SIDE-ANGLE-SIDE) to prove that the two triangles are congruent.  This states that if two sides and the included angle in one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

First line

First column: AB is congruent to CB      Second column: Given

Second line

First column: angle ABD is congruent to angle CBD      Second column: Given

At this point we have the  SIDE-ANGLE portion of SAS.  We just need the other side.  We can see from the given angles that they both share a side...BD.

Third Line

First column: BD is congruent to BD     Second column: Reflexive property

All that is left is to state SAS.

Fourth Line

First Column:  Triangle ABD is congruent to triangle CBD     Second column: SAS (from lines 1,2,3)


The function y = 4x² + 9x-2 has______at the vertex.

A:minimum
B:Maximum

Answers

Answer:

A. Minimum

Step-by-step explanation:

Given function:

y = 4x² + 9x - 2

This is a quadratic function with positive leading coefficient.

It means the graph of the function opens up and therefore it has minimum value of the function at the vertex.

Correct answer choice is A

Rotation - Question 5

Rotation - Question 5

Answers

When the former image is rotated, the dots will be located at section 2 and 7.

What is the effects of image rotation?

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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1
2
3
4
5
6
9
Which expression is equivalent to 5(w+4) when w=g?
O 5(9)
O 915)
05(9)+4
O 5(9) +20

Answers

5(9)+4 because they are just substituting

Find the area of the kite.

Answers

Given the Kite ABCD.

We want to find the Area of the Kite.

Recall that the Area of a Kite can be expressed as;

\(A=\frac{pq}{2}\)

Where;

p and q are the diagonals of the Kite.

For the given Kite, the diagonals of the kite are;

AC and BD.

\(\begin{gathered} AC=5-(-2)=5+2 \\ AC=7\text{ units} \end{gathered}\)\(\begin{gathered} BD=5-1 \\ BD=4\text{ units} \end{gathered}\)

So,

p = AC = 7 units

q = BD = 4 units

Substituting into the formula, we have;

\(\begin{gathered} A=\frac{pq}{2}=\frac{7\times4}{2}=\frac{28}{2} \\ A=14\text{ sq units} \end{gathered}\)

Therefore, the area of the Kite is;

\(14\text{ square units}\)

For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0

Answers

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Find the perimeter of the polygon with the given vertices. C(4, -1), D(4,−5), E(2,−3)

Answers

Answer:

8 units

Step-by-step explanation:

find the distance of the lines through coordinates given

distance formula: \(\sqrt{(x_{1}-x_{2})+(y_{1} -y_{2} ) }\)

i) CD=\(\sqrt{(4-4)^2 +(-1+5)^2}\)

  CD=\(\sqrt{0+4^2}\)

  CD=4 units

ii) DE=\(\sqrt{(4-2)^{2}+(-5+3)^2 }\)

 DE=\(\sqrt{(2)^2+(-2)^2}\)

 DE=\(\sqrt{8}\)

 DE= 2 units

iii) ED=\(\sqrt{(2-4)^2+(-3+1)^2}\)

   ED=\(\sqrt{(-2)^2+(-2)^2}\)

   ED=\(\sqrt{8}\)

   ED= 2 units

perimeter of polygon= 2 units+ 2 units+ 4 units

                                  =8 units

I NEED HELP PLS HURRY

1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7

Answers

a. 10^14
b. 10^27
c. 10^18
d. 10^6
e. 10^6
f. 10^35

multiply the exponents.

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

A circle has a radius of 4 ft.

What is the area of the sector formed by a central angle measuring 270°?

Use 3.14 for pi and round the decimal to the nearest tenth.

Answers

The area of the sector is 37.68ft²

What is the area of a sector?

The region inside the portion of the circle formed by two radii and an arc is known as the area of a sector. It just covers a small portion of the circle's total area.

Area of a sector

The area of a sector can be gotten using the expression (θ/360º) × π r ² where

θ is the angle subtended at the center, given in degrees.r is the radius of the circle.∅ = 270°r = 4ft

Using the expression we will get,(270/360) x 3.14 x 4²

From the solution, we will find the area to be 37.68ft²

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6x ( 2/3 divided by 2)+ 0.5

Answers

Answer:

2.5

Step-by-step explanation:

Given expression:

\(6 \times \left(\dfrac{2}{3} \div 2\right)+0.5\)

Following the order of operations (PEDMAS), carry out the calculation inside the parentheses first.

When dividing a fraction by a whole number, first covert the whole number into a fraction:

\(\implies 6 \times \left(\dfrac{2}{3} \div \dfrac{2}{1}\right)+0.5\)

When dividing fractions, flip the second fraction (swap the numerator and denominator), then multiply:

\(\implies 6 \times \left(\dfrac{2}{3} \times \dfrac{1}{2}\right)+0.5\)

\(\implies 6 \times \left(\dfrac{2 \times 1}{3\times2}\right)+0.5\)

\(\implies 6 \times \left(\dfrac{2}{6}\right)+0.5\)

\(\implies 6 \times \dfrac{2}{6}+0.5\)

Now carry out the multiplication:

\(\implies \dfrac{6 \times2}{6}+0.5\)

\(\implies \dfrac{\diagup\!\!\!\!6 \times2}{\diagup\!\!\!\!6}+0.5\)

\(\implies 2+0.5\)

Finally carry out the addition:

\(\implies 2.5\)

2.5

6*(2/3)/2 + 0.5

6*1/3 + 0.5

2 + 0.5

=2.5

The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable. A mapping diagram with one circle labeled x values containing values negative 3, negative 1, 1, 3, and 5 and another circle labeled y values containing values 0, 2, and 5 and arrows from negative 3 to 0, negative 1 to 2, 1 to 0, 3 to 2, and 5 to 5. Is the relation a function? Explain. No, because for each input there is not exactly one output No, because for each output there is not exactly one input Yes, because for each input there is exactly one output Yes, because for each output there is exactly one input

Answers

Yes, because for each input there is exactly one output. Therefore, the relation represented by the mapping diagram is a function.



To determine if the relation represented by the given mapping diagram is a function, we need to check if each input (x value) has exactly one output (y value) associated with it.

From the given mapping diagram, we can see that:

The input value -3 is associated with the output value 0.

The input value -1 is associated with the output value 2.

The input value 1 is associated with the output value 0.

The input value 3 is associated with the output value 2.

The input value 5 is associated with the output value 5.

As we can see, each input value has exactly one output value associated with it. Therefore, the relation represented by the mapping diagram is a function.

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The mapping diagram represents a relation where x represents the independent variable and y represents

Describe how to transform the graph of f(x)=x^2 to obtain the graph of the related function g(x). Then draw the graph of g(x).G(x)=f(x+1)

Describe how to transform the graph of f(x)=x^2 to obtain the graph of the related function g(x). Then

Answers

Let f(x) is a function and a function g(x) is given by,

\(g(x)=f(x+C)\)

Here, if C is positive, then the graph of g(x) is the graph of f(x) shiftedC units to the left.

If C is negative, then the graph of g(x) is the graph of f(x) shifted C units to the right.

Given:

\(\begin{gathered} f(x)=x^2 \\ g(x)=f(x+1) \end{gathered}\)

Then, g(x) can be expressed as, ,

\(g(x)=(x+1)^2\)

From the explanation above, g(x) is the graph of f(x) shifted 1 unit to the left.

Now, the graph of g(x) can be drawn as:

Describe how to transform the graph of f(x)=x^2 to obtain the graph of the related function g(x). Then

pelase slove these two problem i will give out those crown thingy!

pelase slove these two problem i will give out those crown thingy!

Answers

Answer: $2.75

Step-by-step explanation:

2) Judy spent 3*5.25 = 15.75 on popcorn bags, 13.60 on a jumbo bag of chips and 7.90 for a dip. This means that overall she spent $37.25. If she had $40, this means that she have left $40 - $37.25 = $2.75.

1) Your answer is right.

Please help asap
What is 9 5/9 simplified

Answers

Answer:

It would be 86/9 because you would need to make it improper

Step-by-step explanation:

Answer: its still going to get 9 5/9 or 86/9 theres no common divisor for them

Step-by-step explanation:

3,20,110 _1715 This is an mathematics question

Answers

The pattern between the numbers 3, 20, 110, and 1715 can be found using a mathematical method. In order to get the following number from each, there is a sequence that must be applied.Let's take a look at the sequence that was used to generate these numbers:

The first number is multiplied by 2 and then increased by 14 to get the second number. For example:

3 x 2 + 14 = 20

Then, the second number is multiplied by 3 and 20, and 110 is added.

20 x 3 + 110 = 170

The third number is multiplied by 4 and then increased by 110.

110 x 4 + 110 = 550

Finally, the fourth number is multiplied by 5 and then increased by 110.

550 x 5 + 110 = 2825

Therefore, using the above formula, the next number in the sequence can be calculated:

1715 x 6 + 110 = 10400

As a result, the sequence of numbers 3, 20, 110, 1715, 10400 can be calculated using the mathematical formula stated above.

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The volume of a cuboid is 540cm³. The length is 6cm and the width is 150mm. Work out the height of the cuboid in cm. ​

Answers

Step-by-step explanation:

To work out the height of the cuboid, we need to use the formula:

Volume = Length x Width x Height

We have been given the volume and the length, so we can substitute those values into the formula:

540 = 6 x Width x Height

Now we need to convert the width from millimeters to centimeters, so we divide it by 10:

150mm ÷ 10 = 15cm

Substituting this value into the formula:

540 = 6 x 15 x Height

Simplifying:

540 = 90 x Height

Dividing both sides by 90:

6 = Height

Therefore, the height of the cuboid is 6cm.

old
account balance
transaction
amount
new
account balance
account 1
352
-48
304
account 2
432
a
512
account 3
75
-100
b
account 4
С
52
12
account 5
-10
-20
-30
Explain what each of the numbers -10, -20, and -30 tells you about Account 5.

Answers

Answer:

...............

your answer is b

Graph the equation on the coordinate plane
y=-1/2x
Select two points on the line to graph the line

Graph the equation on the coordinate plane y=-1/2xSelect two points on the line to graph the line

Answers

A graph of the linear equation y = -1/2(x) in slope-intercept form is shown in the image attached below.

What is a proportional relationship?

In Mathematics, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.

Next, we would use an online graphing calculator to plot the given linear function as shown in the graph attached below.

In conclusion, the slope of this linear function is equal to -1/2 and it represents a proportional relationship.

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Graph the equation on the coordinate plane y=-1/2xSelect two points on the line to graph the line
Other Questions
A $3200 investment accumulated to $3343.34 after 5 months. What was the annual rate ofinterest? Answer to 2 decimal points, do not include the percent sign. Example, if you think the final answer is3.25%, enter 3.25 in the answer field What was John Bel Edwards biggest accomplishment? Corley has the following general business credit carryovers: 2017: $12,000 2018: $9,000 2019: $14,000 In 2020, his total general business credit is $55,000 and the total credit allowed in 2020 (based on tax liability) is $70,000. What is the amount of the general business credit carryover (by year) to 2021? If amount is zero, enter "0". 2017 carryover to 2021: $.................. 2018 carryover to 2021: $................... 2019 carryover to 2021: $................... 2020 carryover to 2021: $.................... A year ago, you purchased 400 shares of Stellar Wood Products, Inc. stock at a price of $8.62 per share. The stock pays an annual dividend of $0.10 per share. Today, you sold all of your shares for $10.80 per share. What is your total dollar return on, this investment? You expect to receive a payout from a trust fund in 3 years. The payout will be for $10,200. You plan to invest the money at an annual rate of 6.2 percent until the account is worth $17,800. How many years do you have to wait from today Which of these fractions are greater than 11/20 ?a. 3/4b. 3/10c. 4/5d. 1/2 To maximize motivation, is usually based on performance over which the employee has some degree of control.A) Merit payB) Employee benefitsC) Social recognitionD) Job security please show your workYou have a potential project for which you want to establish the value of any possible real options. The project will have an initial cost of \( \$ 86 \) million, which must be paid at the time of inv i think it is important to know about the brain injuries hehehehehe lol I need help Which best describes the role of communication in scientific investigations?Communication can help identify good scientific questions to further investigate.Communication is not necessary once the data are collected because the scientists can do the data analysis themselves.Communication should not be used in planning the experimental design because the scientists want to have original ideas.Communication is important because the scientists need to convince other researchers not to challenge their results How much combined 87.8 and 17.3 Obama's famous speech on race in 2008. Contrast it with John Edward's famous 'Two Americas" speeches Write a function titled linearSolve that solves a system of linear equations. The function takes two matrices as inputs: the first is the coefficient matrix A and the second is the constant matrix b. Assume the user will always call the function using valid inputs, so you don't need to worry about invalid situation. For examples, function call of linearSolve([-2, -1; 3, 1], [-3; O)) returns [-3.0000; 9.0000), and function call of linearSolve([2, 0, -6; 0, 1, 2; 3, 6, -2], [-8; 3; -4]) returns [2; -1; 2]. In order to receive credit, you must use the backslash operator to solve linear equations and you can NOT use any other MATLAB built-in function for solving equation. In general, open methods such as Newton-Raphson and the Secant Method are ____________________ to fail (diverge) compared to bracketing methods such as Bisection. The quality control department of a company that produces flashbulbs finds that 1 out of 1,000 bulbs tested fails to function properly. The flashbulbs are sold in packages of four. What is the probability that all the bulbs in a package will function properly Attempts done: 0/2 Accessibility One of the side reactions that occurs during the burning of fossil fuels is 4FeS(s) + 110(g) 2Fe2O3(s) + 8502(9) How many kilojoules of energy are released du I need help ASAP. I will give brainliest. what is cultural lag? group of answer choices the gap between favorite music of old people and young people the length of time it takes for pop culture to spread from one society to the next viewing people's behavior only from the perspective of one's own culture an adjustment period when non-material culture struggles to adapt to changing conditions Lines j and k are parallel. They are intersected by the transversals, l and m.