I need all the answers for question 2 and please explain each step to get the answer, thanks
Answers
b)
hmm where is that point A anyway? sounds like it's asking the same thing as in part a)
c)
well, where's M, the midpoint of BC, let's check.
[tex]\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) B&({{ 1}}\quad ,&{{ 4}})\quad % (c,d) C&({{ 9}}\quad ,&{{ 10}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right) \\\\\\ M=\left( \cfrac{9+1}{2}~,~\cfrac{10+4}{2} \right)\implies M=(5,7)[/tex]
now, the coordinator says that the midpoint of MC is at 6,8, let's check.
[tex]\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) M&({{ 5}}\quad ,&{{ 7}})\quad % (c,d) C&({{ 9}}\quad ,&{{ 10}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right) \\\\\\ N=\left( \cfrac{9+5}{2}~,~\cfrac{10+7}{2} \right)\implies N=\left(7~,~\frac{17}{2} \right)\implies N=\left(7~,~8\frac{1}{2} \right)[/tex]
Related Questions
True or False.
A binomial is also a polynomial.
Answers
quotient of two more than a number and eight
Answers
Question 2: Remember that there are 5 lead male roles and 4 lead female ones. If you must seat the male leads together and the female leads together, the three producers together and the director by himself, how many different ways can you seat 13 people around the circular table?
Answers
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Explanation:
There are 13 people total. We can group up the male leads since they must sit together. Consider this group of five as one "person". Do the same for the female leads since they must sit together as well. The same applies to the producers.
Effectively we have these groups
* Male leads
* Female leads
* Producers
* Director
So we have 4 "people" in a sense sitting around the table giving (n-1)! = (4-1)! = 3! = 3*2*1 = 6 different ways to arrange these four groups.
Within the "male leads" group, there are 5! = 120 ways to permute the members.
Within the "female leads" group, there are 4! = 24 ways to permute the members.
Within the "producers" group, there are 3! = 6 ways to permute the members.
Within the "director" group, there's only one person so 1! = 1 way to arrange the members
So there are 120*24*6*1 = 17,280 different ways to arrange any one of the six permutations of the four groups.
Overall, there are 6*17,280 = 103,680 total permutations.
How to write 0.000028 in scientific notation?
Answers
2.8 x 10^-5
If you moved the decimal to the left the exponent would be positive.
A ball bearing is shaped like a sphere and has a diameter of 2.5 centimetres. What is the volume contained inside the ball bearing? Use 3.14 for pi. Round your answer to the nearest hundredth. 8.18 cubic centimeters 7.15 cubic centimeters 7.08 cubic centimeters 6.89 cubic centimeters
Answers
The diameter is already given (2.5), and it can be divided by 2 to find the radius.
2.5/2=1.25
Plug 1.25 and Pi into the equation for a sphere to find the volume:
(4/3)(1.25^3)(3.14)=8.177
Answer: About 8.18 cm^3
Answer: 8.18 cubic centimeters
Step-by-step explanation:
Given : A ball bearing is shaped like a sphere .
The diameter of ball = 2.5 centimeters
Then , the radius of the ball =[tex]\dfrac{2.5}{2}=1.25\text{ cm}[/tex]
We know that the volume of a sphere is given by :-
[tex]\text{Volume}=\dfrac{4}{3}\pi r^3[/tex]
Then , the volume of ball is given by :-
[tex]\text{Volume}=\dfrac{4}{3}(3.14) (1.25)^3\\\\\Rightarrow\ \text{Volume}=8.17708333333\approx8.18\text{ cubic centimeters}[/tex]
Find the sum of the following infinite geometric series, if it exists.
1.02 + 2.04 + 4.08 + 8.16 +…
20
Does not exist
22
24
Answers
We can see that for every increment, the number gets doubled positively. Since we are looking for the value when the repetition is made infinite, therefore the value at that point would also be infinite. Since infinite is imaginary, therefore the correct answer is:
Does not exist
a restaurant offers 3 kinds of bread 4 kinds of meat and 3 kinds of cheese
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Answer:
36 combos
Step-by-step explanation:
Plz vote me for Brainilest
HELP ROUND 479065.389037 TO THE NEAREST THOUSAND
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if you want to round both sides to the nearest thousand, it will be
479000.389
if you just want a whole number it will be
479000
hope this helps :D
I won tickets to a trip for four to the Super Bowl. I have eight friends but I can only bring three of them. In how many ways can I form my Super Bowl party?
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[tex] \frac{8!}{(8-5)!5!} = \frac{8!}{3!5!} = 56 [/tex] ways of choosing three friends from eight total friends
Rip the 4 tickets in half lol
Please Help!!!
which statement is true about the system x-3y = 5 and y = x - 7 ?
Answers
2. The value of a Plasma TV bought new for $3,700 decreases 25% each year. Identify the function for the value of the television. Does the function represent growth, or decay?
V(t) = 3700(1.25)t; growth
V(t) = 3700(0.75)t; decay
V(t) = 3700(1.25)t; decay
V(t) = 3700(0.75)t; growth
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V(t) = 3700(1-r)^t
Where r is 25/100=0.25
V(t) = 3700(1-0.25)^t
V(t) = 3700(0.75)^t
So the answer is
V(t) = 3700(0.75)t; decay
Answer: V(t) = 3700(0.75)t; decay
Step-by-step explanation:
What is the value of the 11th term of the sequence 1, -2, 4, -8, ...?
4,096
1,024
-2,048
-1,024
Answers
1
-2
4
-8
16
-32
64
-128
256
-512
1024
The answer is 1024
Please help!
Factor the expression.
9b^2+48b+64
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then divide 48 by 3 .48/3=16
a and b are two numbers with sum of 16 and production of 64.
a=b=8
(3x+8)^2
Answer:
(3x+8)^2
Step-by-step explanation:
(3x+8)^2
(06.05 MC)
Dylan surveyed the students at his sports camp to find out if they like diving and/or boxing. The table below shows the results of the survey:
Like Diving
Do Not Like Diving
Total
Like Boxing
28
12
40
Do Not Like Boxing
20
5
25
Total
48
17
65
If a student likes diving, what is the probability that student also likes boxing?
43.1%
58.3%
70.0%
73.8%
Answers
without seeing the chart, I hope I have the columns and labels correct,
but it looks like 28 students like both diving and boxing.
there is a total of 65 students
28/65 = 0.4307, which rounds to 0.431
which is 43.1%
Write an equation for ab is congruent to segment bc
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ab = bc
I believe...
Answer:
[tex]\overline {ab}\cong \overline {bc}[/tex]
Step-by-step explanation:
We are asked to write an equation for the given statement.
Statement:
Segment 'ab' is congruent to segment 'bc'.
We know that segment is written by a bar on name of segment as: [tex]\overline {ab}[/tex] and [tex]\overline {bc}[/tex].
Congruent sign is [tex]\cong[/tex]
Therefore, our required equation would be: [tex]\overline {ab}\cong \overline {bc}[/tex]
Can someone help me!
Answers
14 + 3i + 12 + 7i + 6 + 2i
Combine like terms.
12i + 32
32 + 12i
Question 3: In les Miserables Monsier, Thenardier, and Madame Thenardier are married and during act two, Cosette and Marius become married. If Thenardiers must sit next to one another and Cosette and Marius must sit next to one another, but there are no restrictions on how others can sit, how many different ways can you sit 13 people around a circular table?
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Note: this is a single number (not an ordered triple or a collection of three different numbers) roughly equal to about 14.5 million if you round to the nearest hundred thousand.
----------------------------------------------
Explanation:
There are 13 people. Let's call them person A, person B, person C, ... all the way up to person M. The first four people are given who we'll call A through D. The rest (E through M) aren't really important since they aren't named.
A = Monsier Thenardier
B = Madame Thenardier
C = Cosette
D = Marius
Peron's E through M = remaining 9 people
------------------
A and B must stick together. Because of this, we can consider "AB" as one "person".
So we go from 13 people to 13-2+1 = 12 "people".
Likewise, C and D must stick together. We can consider "CD" as one "person". So we go from 12 "people" to 12-2+1 = 11 "people"
------------------
The question is now: how many ways can we arrange these 11 "people" around a circular table? The answer is (n-1)! ways where n = 11 in this case
So, (n-1)! = (11-1)! = 10! = 10*9*8*7*6*5*4*3*2*1 = 3,628,800
We're almost at the answer. We need to do two adjustments.
First off, for any single permutation, there are two ways to arrange "AB". The first is "AB" itself and the second is the reverse of that "BA". So we will multiply 3,628,800 by 2 to get 2*3,628,800 = 7,257,600
Using similar logic for "CD", we double 7,257,600 to get 2*7,257,600 = 14,515,200
The final answer is 14,515,200
In Les Miserables, given specific seating arrangements around a circular table with 13 people, there are 16,320 ways to seat them as per the specified conditions.
Step-by-step explanation:
Calculate the number of ways to seat Cosette and Marius together: 2 ways as they are a pair.Calculate the number of ways to seat Thenardiers together: 2 ways as they are a pair.Calculate the number of ways to arrange the remaining 9 people using the circular permutation formula: (9-1)! = 8!.Multiply the three results together: 2 * 2 * 8! = 16,320 ways.How many zeros are there at the end of 100!?
Answers
Final answer:
The number of zeros at the end of 100! is determined by counting the multiples of 5 in the factorization, including higher powers like 25. The result is a total of 24 zeros at the end of 100!.
Explanation:
To determine how many zeros are at the end of the factorial of 100 (100!), we need to know how many times the number 10 can be factored within that number. Since 10 is the product of 2 and 5, we should count the number of 2s and 5s in the prime factorization of 100!. The number of zeros at the end of 100! will equal the smaller of these two counts. However, because there are more 2s than 5s in the prime factorization, we only need to count the number of 5s as every 5 will have a corresponding 2 to form a 10.
For 100!, we count how many multiples of 5 there are within that range, including the multiples of 25 (since 25 includes an extra 5), and possibly higher powers of 5 if applicable. For example, 5 is counted once, 25 is counted twice (as 25 = 5×5), and so on.
Therefore, the number of zeros at the end of 100! equals the sum of the integer division of 100 by 5, plus the integer division of 100 by 25, and so on for any higher powers of 5. However, since 100 < 125, we do not need to consider any higher powers than 25.
We calculate:
100 ÷ 5 = 20,
100 ÷ 25 = 4.
Adding these together (20 + 4), we find that there are 24 zeros at the end of 100!.
Is the centroid of a triangle equidistant from the three vertices?
Answers
Yes, the centroid of a triangle is equidistant from the three vertices.
Explanation:Yes, the centroid of a triangle is indeed equidistant from the three vertices.
The centroid of a triangle is the point where the three medians of the triangle intersect. A median is a line segment that connects a vertex of the triangle to the midpoint of the opposite side.
Since the medians of a triangle intersect at the centroid, the distances from the centroid to each vertex along the medians are equal. This property can be proven using properties of similar triangles.
Choose the correct simplification of the expression (7x − 3)(4x2 − 3x − 6).
28x3 − 33x2 − 33x − 18
28x3 + 33x2 − 33x + 18
28x3 − 51x2 − 33x + 18
28x3 − 33x2 − 33x + 18
a b c d
Answers
Answer:
The expression (7x − 3) × (4x² − 3x − 6) is equivalent to 28x³ - 33x² - 33x + 18 .
Step-by-step explanation:
As given the expression in the question be as follow .
= (7x − 3) × (4x² − 3x − 6)
= 7x × (4x²- 3x - 6) - 3 × (4x² - 3x - 6)
Now open the bracket
= 7x × 4x² + 7x × -3x + 7x × -6 -3 × 4x² -3 × -3x - 3 × -6
= 28x³ -21x² -42x -12x² + 9x +18
= 28x³ -21x² - 12x² -42x + 9x + 18
= 28x³ - 33x² - 33x + 18
Therefore the expression (7x − 3) × (4x² − 3x − 6) is equivalent to 28x³ - 33x² - 33x + 18 .
How many right triangles have a hypotenuse that measures 2x+5 meters and legs that measure 22xminus−33 meters and x+8 meters? what are the dimensions of the triangle(s)?
Answers
Δhello :
by theorem pytagore :
(2x+5)² = (22x-33)² + (x+8)²
4x² +20x +25 = 484x²+1452x + 1089 +x²+16x+64
put this expression in the form ax² +bx+c=0
calculate Δ = b²-4ac ....cpntibue
Graph y = log8^x and its inverse
Answers
Answer:
Third one will be correct.
Step-by-step explanation:
Given : y =[tex]log_{8}(x)[/tex].
To find : Graph and its inverse.
Solution : We have given that
y =[tex]log_{8}(x)[/tex].
For x - intercept , y =0.
y = 0
0 =[tex]log_{8}(x)[/tex].
x = 1
(1,0)
Inverse of y =[tex]log_{8}(x)[/tex].
Interchange the x and y.
x = [tex]log_{8}(y)[/tex].
Solving for y
y = [tex]8^{x}[/tex].
Then For x = 0
y = [tex]8^{0}[/tex].
y = 1
For inverse ( 0 ,1)
Then we can see from given graphs Third one will be correct.
Therefore, Third one will be correct.
If you were asked to load 225 boxes onto a truck, and the boxes are crated with each crate containing nine boxes, how many crates would you need to load
Answers
Answer:
You should load 25 crates onto a truck.
Step-by-step explanation:
Given:
There are 225 boxes.
Each crate containing 9 boxes.
We need to find the number of crates that containing 225 boxes.
Here we use division to find the answer.
Number of crates = Total number of boxes / Number of boxes in each crate
= 225/9
= 25
You should load 25 crates onto a truck.
For what values of x does f(x)= x^2 +9x +20 reach its minimum value?
Answers
The minimum value of the quadratic function f(x)= [tex]x^2[/tex] +9x +20 is achieved at x = -4.5, calculated using the vertex formula -b/2a.
Explanation:The function f(x)= [tex]x^2[/tex] +9x +20 is a quadratic function. The minimum value of a quadratic function is achieved at the vertex. The x-coordinate of the vertex can be found using the formula -b/2a, where a and b are coefficients of [tex]x^2[/tex] and x respectively in the standard form a[tex]x^2[/tex] + bx + c. Here, a=1 and b=9.
So, by applying the formula, the value of x will be -b/2a = -9/(2*1) = -4.5. Hence, the function achieves its minimum value when x = -4.5.
Learn more about Quadratic Function here:https://brainly.com/question/35505962
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A cubic centimeter of quartz, olivine, and gold weighs 2.5, 3.0, and 19.8 grams, respectively. this indicates that
Answers
To solve the problem we must know about density.
The different weight shows that the solids have different density.
Given to us
A cubic centimeter of quartz, olivine, and gold weighs 2.5, 3.0, and 19.8 grams.What are weight and mass?We know that weight is the product of mass and acceleration due to gravity, also, mass is the product of density and volume.
[tex]\rm{ weight = mass \times acceleration\ due\ to\ gravity[/tex]
[tex]\rm{ w = m \times g[/tex]
[tex]\rm{ Mass = density \times volume[/tex]
[tex]m = \rho \times v[/tex]
What is the relationship between weight and mass?In the three solids given, the acceleration due to gravity will be the same, also, it is already mentioned that the volume of the three materials is the same that is 1 cubic centimeter.
[tex]w = m \times g\\w = (\rho \times v) \times g\\\\w = \rho \times 1\ cm^3 \times 9.81[/tex]
Therefore, the only thing that can vary is the density of the solids. Hence, the different weight shows that the solids have different density, the more is the weight the more is the density of the solid.
Learn more about Density:
https://brainly.com/question/952755
If f(x)=5x-2 and g(x)=2x+1, find(f-g)(x)
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5x-2x= 3x -2-(+1)= -3
A purse contains dimes and nickels. The total value of all the coins is, at most, $2.50, and there are at least three of each coin. Which of the following systems correctly shows the system that describes the possible number of nickels (n) and dimes (d) in the purse?
<= That means greater than or equal to or less than or equal to
1.n >= 3
d >= 3
0.05n+0.1d <= 2.50
2. n <= 3
d <= 3
0.05+0.1d <= 2.50
3. n <= 3
d<= 3
n + d >= 2.50
4. n>=3
d >= 3
n + d <=2.50
Answers
If a system of linear equations has no solution, what do you know about the slopes and y-intercepts of the graphs of the equations?
Answers
Answer:
The slopes of the graphs are the same and the y-intercepts of the graphs are different.
Step-by-step explanation:
The arithmetic mean (i.e., average) of a set of 7 numbers is 20. the mean of a second set of 13 numbers is 40. what is the mean of all 20 numbers?
Answers
Therefore the sum of the 7 numbers is
S₁ = 7*20 = 140
The mean of the second set of 13 numbers is 40.
Therefore the sum of the 13 numbers is
S₂ = 13*40 = 520
The sum of the two sets of numbers is
S = S₁ + S₂ = 140 + 520 = 660
Altogether, there are 7+13 = 20 numbers.
The overall mean of the 20 numbers is
660/20 = 33
Answer: The mean of all 20 numbers is 33.
Using the weighed mean, it is found that the mean of all 20 numbers is of 33.
What is the weighed mean?The weighed mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.
In this problem, the means are divided as follows.
Mean of 20 with a weight of 7.Mean of 40 with a weight of 13.Hence:
[tex]M = \frac{20(7) + 40(13)}{20} = 33[/tex]
The mean of all 20 numbers is of 33.
More can be learned about the weighed mean at https://brainly.com/question/24398353
Solve by using elimination 3x+y=27 -3x+4y=-42
Answers
3x+y=27 ...(1)
-3x+4y=-42 ...(2)
(1) +(2) : 5y = -15
y = -3
subsct in : (1) 3x -3 = 27
3x= 30
x=10