The given line segment has a midpoint at (−1, −2). on a coordinate plane, a line goes through (negative 5, negative 3), (negative 1, negative 2), and (3, negative 1). what is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment? y = −4x − 4 y = −4x − 6 y = one-fourthx " 4 y = one-fourthx " 6

The significance level of a test is the probability of rejecting the null hypothesis when it is true.

Significance level (alpha, α) is a value that is used to define the borderline between the null hypothesis being rejected or not. It is selected before the beginning of the experiment or study. The most common significance level used is α = 0.05. This means there is a 5% chance of rejecting the null hypothesis even if it is true.

If the p-value is smaller than alpha, the null hypothesis is rejected, and the alternative hypothesis is accepted. The significance level is also known as a Type I error. A Type I error occurs when the null hypothesis is rejected, and the alternative hypothesis is accepted when the null hypothesis is true. This means that the researcher concludes that there is a difference when, in fact, there is none.

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Therefore, a student has 756 different options for fulfilling the requirements by taking one course from each group.

To calculate the number of different options for fulfilling the requirements, we need to multiply the number of choices from each group.

Number of choices from the health group = 6

Number of choices from the civics group = 7

Number of choices from the critical thinking group = 9

Number of choices from the elective group = 2

To calculate the total number of options, we multiply these numbers together:

Total number of options = 6 * 7 * 9 * 2

= 756

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Answer:

y = 0

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

In order to simplify and verify trig identities, one needs to use the rules of trigonometry and algebra to manipulate the equation until it is in a simplified form.

The most common trig identities to remember include the Pythagorean identity, reciprocal identities, quotient identities, and sum and difference identities. When simplifying an equation, it is important to remember to include the negative sign when necessary and to factor out any common factors.

After simplifying, it is important to verify the equation. This can be done by plugging in known values for the variables and verifying that the equation is true. By utilizing the rules of trigonometry and algebra, one can simplify and verify trig identities. This process is essential for working with trigonometric functions.

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Answer:     \(\boldsymbol{2(x-2)(5x+7)}\)

========================================================

Work Shown:

\((4x^2-16)+3(2x-4)(x+1)\\\\4(x^2-4)+3*2(x-2)(x+1)\\\\4(x-2)(x+2)+3*2(x-2)(x+1) \ \text{ ... difference of squares rule}\\\\2*2(x-2)(x+2)+3*2(x-2)(x+1)\\\\2(x-2)(2(x+2)+3(x+1))\\\\2(x-2)(2x+4+3x+3)\\\\\boldsymbol{2(x-2)(5x+7)}\\\\\)

The answer has been confirmed with WolframAlpha which is basically a calculator app, but does a ton more than any average calculator.

The CAS (computer algebra system) in the app GeoGebra is another tool I use all the time.

Yet another way to confirm the answer is to graph the original expression and the answer as separate functions. You should find they produce the exact same curve. One curve perfectly overlaps the other. This visually verifies the two expressions are the same thing, just written a different way of course.

Let me know if you have any questions about any step. The basic idea I did was to pull out the GCF and then combine like terms.

The equation of a line is:

\( \displaystyle \large{y - y_1 = m(x - x_1)}\)

Since the line has to be parallel to line y = 4x+1. Hence, m = 4.

\( \displaystyle \large{y - y_1 = 4(x - x_1)}\)

Given point is (1,1). Let this be the following:

\( \displaystyle \large{(x_1,y_1) = (1,1)}\)

Substitute the point in.

\( \displaystyle \large{y - 1 = 4(x - 1)}\)

Convert the equation in a slope-intercept form or function form.

First, distribute 4 in the expression.

\( \displaystyle \large{y - 1 = 4x - 4}\)

Add 1 on both sides.

\( \displaystyle \large{y - 1 + 1 = 4x - 4 + 1} \\ \displaystyle \large{y = 4x - 3}\)

Hence, the line that is parallel to y = 4x+1 and passes through (1,1) is y = 4x-3

For the statement to happen, the number should be 2.

An algebraic expression is is defined as the combination of numbers and variables in solving a particular mathematical question. Variable, usually letters, are used to denote the unknown quantity.

Let x = number

Based on the information given, add the number to the numerator of 11/35 and add twice the number to the denominator of 11/35, and the result should be equal to 1/3.

Hence, (11 + x) / (35 + 2x) = 1/3.

Simplify and solve for the value of x.

3(11 + x) = (35 + 2x)

33 + 3x = 35 + 2x

3x - 2x = 35 - 33

x = 2

number = 2

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Answer:

dukh dusri if la is aaz ex rc UV pic of x maa la is pta is is wa wa ea raaz raaz raaz tez TX UV in on on lb lg aaz wax ex ex ex un in pa pe pe la na

Step-by-step explanation:

n mn bhi lv vm mb cm kc gl of FL ek to tk tu tum

B.The weather pattern in City 2 is more consistent than the weather pattern in City 1

explanation:

Range and interquartile range (IQR) measures the spread of data. Range measure the overall spread and IQR measures spread in 50% of data.

Range is calculated by differencevof maximum and minimum value whereas IQR is calculated by difference of First quartile and third quartile.

Since, the range and IQR is less for City 2 as compared to City 1.

Thus ,weather pattern of City 2 is more consistent as compared to City 1.

Answer: b

Step-by-step explanation: I did it on my paper and it kind of took a long time

Answer:

EF: on the same side of origin    17.7 - 9 = 8.7

FD: on the opposite of 0    17.7 + 6.1 = 23.7

Step-by-step explanation:

D = -6.1, E = 9, F = 17.7

EF: on the same side of origin    17.7 - 9 = 8.7

FD: on the opposite of 0    17.7 + 6.1 = 23.7

When solving this equation I got the price $487.5

Because 75% of 650 is $487.5

And 25% of 650 is 162.5

And to check my work I add them together to see if I get 650.

487.5+162.5= 650, meaning that I was correct.

So the correct answer to your problem is $487.5

Answer:

During the Holocaust, Jews who were living in Nazi-occupied countries were more vulnerable than German Jews for several reasons. First, German Jews had some level of protection under German law until 1935, when the Nuremberg Laws stripped them of their citizenship and legal rights. In contrast, Jews in occupied countries had no legal protection or rights.

Second, German Jews had more resources and networks to help them escape persecution or go into hiding, such as family members or friends who were not Jewish or non-Jewish organizations that were sympathetic to their plight. Jews in occupied countries, especially in Eastern Europe, often had less access to resources and networks because they were living in ghettos or had been transported to concentration or extermination camps.

Third, German Jews were often better-educated and assimilated into German society, which sometimes gave them advantages in finding employment or housing. Jews in occupied countries, especially in Eastern Europe, often lived in poverty and were more likely to be living in rural areas or small towns, which made them more vulnerable to persecution and deportation.

This suggests that the society's "universe of obligation" during the Holocaust was limited to certain groups of people, namely German Jews who were seen as having more value or worth than Jews in other countries. This limited universe of obligation meant that Jews in occupied countries were not considered as valuable or worthy of protection, and therefore were more vulnerable to persecution and violence. The Holocaust serves as a tragic example of how societies can create a narrow universe of obligation that excludes entire groups of people and leads to horrific consequences.

Step-by-step explanation:

Answer:

what is this like what subject ?

The time complexity of this algorithm is O(n), where n is the number of nodes in the linked list. The space complexity is O(1), since we are only using two pointers to traverse the list.

The problem can be solved using Floyd's cycle-finding algorithm, also known as the "tortoise and hare" algorithm. The algorithm uses two pointers, a slow pointer and a fast pointer, to traverse the linked list. The slow pointer moves one step at a time, while the fast pointer moves two steps at a time. If there is a cycle in the linked list, the fast pointer will eventually catch up to the slow pointer, and they will meet at some node.

Here's a Python implementation of the algorithm:

```
class ListNode:
   def __init__(self, val=0, next=None):
       self.val = val
       self.next = next

def hasCycle(head):
   if not head:
       return False
   slow = head
   fast = head.next
   while slow != fast:
       if not fast or not fast.next:
           return False
       slow = slow.next
       fast = fast.next.next
   return True
```

We start by initializing two pointers, slow and fast, to the head of the linked list. We then move the slow pointer one step at a time and the fast pointer two steps at a time. If there is a cycle in the linked list, the fast pointer will eventually catch up to the slow pointer, and they will meet at some node. If there is no cycle, the fast pointer will reach the end of the list and the loop will terminate.

The time complexity of this algorithm is O(n), where n is the number of nodes in the linked list. The space complexity is O(1), since we are only using two pointers to traverse the list.

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got it correct edge 2021

The proof that m∠2 = m∠3 in the two column proof table is; shown in the various steps and concludes with subtraction property of equality

We are given;

∠1 and ∠2 are supplements

∠3 and ∠4 are supplements

∠1 ≅ ∠4

Now, since ∠1 and ∠2 are supplements, it means that;

m∠1 + m∠2 = 180° because of the definition of supplementary angles.

Since ∠3 and ∠4 are supplements, it means that;

m∠3 + m∠4 = 180° because of the definition of supplementary angles.

We are told that ∠1 ≅ ∠4

Thus;

m∠1 + m∠2 = m∠3 + m∠1 (Substitution property of equality)

Finally, we can reduce to get;

m∠2 = m∠3 (subtraction property of equality)

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The measure of ∠1 is 140°.

Vertical angles are a pair of opposite angles formed by the intersection of two lines.

They have equal measures.

In this case, we have ∠1 and ∠2 as vertical angles.

Given that the measure of ∠1 is represented as 3x + 17 and the measure of ∠2 is represented as 4x - 24, we can set up an equation to find the value of x.

Since ∠1 and ∠2 are vertical angles, they have equal measures.

So we can write the equation:

3x + 17 = 4x - 24

To solve for x, we can start by isolating the variable terms on one side:

3x - 4x = -24 - 17

-x = -41

To solve for x, we can multiply both sides of the equation by -1 to get a positive x:

x = 41

Now that we know the value of x, we can substitute it back into the expression for ∠1 to find its measure:

m ∠1 = 3x + 17

m ∠1 = 3(41) + 17

m ∠1 = 123 + 17

m ∠1 = 140

Therefore, the measure of ∠1 is 140°.

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Answer:

40°

Step-by-step explanation:

50+40=90

Answer: A) Once x variables have been combined we need to combine non-x variables by moving them to the other side of the equal sign

Answer:

A. 1/220   B. 1/22   C. 3/11

Step-by-step explanation:

This question uses combinations -- counting the number of ways a selection can be made from a set of objects (without arranging them after the selection is done).

Notations for combinations:

The number of ways to select  r  things from a set of  n  things is

\(C(n,r)=\frac{n!}{r!(n-r)!}\)  where the exclamation points mean factorial.

\(n!=1\cdot2\cdot3\ldots\cdot n\)  and 0! is defined to be 1.

There are two other commonly used symbols for this:

\(_nC_r\)  and  \(n \choose x\).

In all three parts, the number of ways to choose 3 balls from a set of 12 is

\(C(12,3) = \frac{12!}{3!(12-3)!}=\frac{12\cdot 11 \cdot 10 \cdot 9\cdot 8\cdot 7\cdot 6\cdot 5\cdot4\cdot3\cdot2\cdot1}{(3\cdot2\cdot1)(9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1)}\)

Notice that 9 factors in the denominator cancel 9 factors in the numerator, leaving

\(C(12,3) = \frac{12!}{3!(12-3)!}=\frac{12\cdot 11 \cdot 10}{3\cdot2\cdot1}=220\)

A. The number of ways to choose 3 red balls from the 3 red balls is C(3, 3) = 1, so the probability is 1 / 220.

B)  The number of ways to choose 3 green balls from the set of 5 green balls is \(C(5,3)=\frac{5!}{3!(5-3)!}=\frac{5!}{3!2!}=\frac{5\cdot 4}{2}=10\)  out of 220, so the probability is 10/220 = 1/22.

C)  The number of ways to choose 1 red is C(3, 1) = 3.  Choose 1 green in C(5, 1) = 5 ways.  Choose 1 white in C(4, 1) = 4 ways.

The probability is  \(\frac{3\cdot 5 \cdot 4}{220}=\frac{60}{220}=\frac{3}{11}\)

Answer:

a) 1/220

b) 1/22

c) 3/11

Step-by-step explanation:

Check the attachment.

Answer:

1/2b*h

1/2 6*27

162/2

81 is the answer

Answer:

j would be 130 cuz sides that are congruent have congruent angles so you add those two angles up and subtract from 180

Answer:

Step-by-step explanation:

x = 130

Base angles of isosceles triangles are congruent so angle L is also 25

There is 180 degrees in a triangle so you would do 25 + 25 + x = 180

then solve for x

The area of the photograph is 64√3 cm².

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Rectangular photograph:

Height = 8 cm

Diagonal = 16 cm

This means,

Using the Pythagorean theorem.

Length² + Height²  Diagonal²

Length² = Diagonal² -  Height²

Length² = 16² -  8²

Length² = 256 -  64

Length² = 192

Length = √192 = √(64 x 3) = 8√3 cm

Now,

The area of the photograph.

= Length x height

= 8√3 x 8

= 64√3 cm²

Thus,

64√3 cm² is the area of the photograph.

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Answer:

28

Step-by-step explanation:

Answer:

x= 33

Step-by-step explanation:

The sum of the angles on a straight line is 180°. This is abbreviated as 'adj. ∠s on a str. line'.

104° +x° +(x +10)°= 180°

2x° +114°= 180°

2x°= 180° -114°

2x°= 66°

Divide both sides by 2:

x°= 66° ÷2

x°= 33°

x= 33

The line passes through points (-3,4) and (-2,-1).

The general equation of line passing through point (x_1,y_1) and (x_2,y_2) is,

Determine the equation of line passing through points (-3,4) and (-2,-1).

Arrays allow the programmer to store and access a large number of items in a single, contiguous block of memory.

This makes it easier to access individual items, as well as compare and manipulate groups of items. Furthermore, the use of arrays allows for the efficient use of memory, as each item only needs to be stored once.

1. An array is a collection of data stored in a single, contiguous block of memory.

2. This type of data structure allows for the efficient storage and manipulation of large numbers of items.

3. The items can be indexed, allowing for easy access to individual items, or entire groups of items.

4. Arrays can be manipulated in a number of ways, such as sorting, searching, and calculating various statistics.

5. Arrays are often used to store collections of related data, such as student grades, or a list of products.

6. By using arrays, the programmer can efficiently store and access large numbers of items, while using minimal memory resources.

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Answer:

72

Step-by-step explanation:

just times 6 by 12 to get the answer