Hello, please consider the following.
PART 2
Let's note [tex](x_i)_{1\leq i\leq 11}[/tex] the 11 numbers.
We can write the following
[tex]x_1^2+...+x_{11}^2=(x_1+1)^2+...+(x_{11}+1)^2\\\\=x_1^2+...+x_{11}^2+2(x_1+...+x_{11})+11\\\\\text{So } 2(x_1+...+x_{11})+11 = 0\\\\(x_1+2)^2+...+(x_{11}+2)^2=x_1^2+...+x_{11}^2+4(x_1+...+x_{11})+4*11\\\\\text{As we know that }2(x_1+...+x_{11})+11 = 0\\4(x_1+...+x_{11})+4*11=-11*2+4*11=22[/tex]
So the sum of squares changes by
[tex]\boxed{ \ 22 \ }[/tex]
PART 4
Let's say that we have n points at the beginning.
We will add n-1 points the first time, we will get n + n - 1 = 2n -1 points.
And then, the second time we add 2n - 1 - 1 points and we get
2n - 1 +2n - 2 = 4n - 3.
Finally, we do it a last time, we add 4n - 3 - 1 points and we get 4n - 3 + 4n - 4 points = 8n - 7 and it must be 65.
So, 8n -7 = 65 <=> 8n = 65+7=72 <=> n = 72/8=9
[tex]\boxed{= \ 9}[/tex]
Thank you
find the area of the shaded part of the figure below
Answer:
70
Step-by-step explanation:
Answer:
70 cm^2
Step-by-step explanation:
Multiply (20x8)/2 to find the area of the triangle. Then subtract the area of the rectangle(10 cm^2) from the area of the triangle to get your final answer.
What is the area of a circle that has a radius of 16.25? USE 3.14 FOR PI!!!!
DO NOT ROUND.
Answer:
730.61664
Step-by-step explanation:
area equals πr2=π·15.252≈730.61664
Answer:
829.15625 units squared
Step-by-step explanation:
The formula for area is A= 3.14 * (r^2). 16.25^2 is 264.0625. 3.14 * 264.0625 is 829.15625.
Two whole numbers have a least common multiple (LCM) of 40.
• Each number is greater than 2.
• The greatest common factor (GCF) of the two numbers is 2.
What are the two numbers?
1.
20 and 2
2.
10 and 8
10 and 4
4.
8 and 5
pls this is due in 10 minutes pls help.
Answer:
10 and 8
Step-by-step explanation:
Case 1:
20 and 2
20 = 2^2 x 5
2 = 2^1
=> LCM = 2^2 x 5 = 20 (not 40)
=> Incorrect pair of numbers
Case 2:
10 and 8
10 = 2 x 5
8 = 2^3
=> LCM = 2^3 x 5 = 40
=> GCF = 2
=> Correct pair of numbers
Case 3:
10 and 4
10 = 2 x 5
4 = 2^2
=> LCM = 2^2 x 5 = 20 (not 40)
=> Incorrect pair of numbers
Case 4:
8 and 5
8 = 2^3
5 = 5 x 1
=> GCF = 1 (not 2)
=> Incorrect pair of numbers
Hope this helps!
:)
The numbers which have the least common multiple (LCM) of 40 and greatest common factor (GCF) of the two numbers is 2 are 8 and 10.
Wht are LCM and GCF?The LCM (Lowest Common Multiple) of two or more numbers is the smallest number among all common multiples of the provided numbers. In contrast, the greatest common factor (GCF) is the highest number among all the common factors of the given numbers.
Given that, two whole numbers have the least common multiple (LCM) of 40. and greatest common factor (GCF) of the two numbers is 2.
Let the two numbers be x and y
Now, we know that,
LCM (a, b) × HCF (a, b) = a × b.
40 × 2 = xy
xy = 80
Therefore, the product of two number is 80.
Now, from the given options, the only pair having product 80 is 8 and 10.
Therefore, the numbers are 8 and 10.
Hence, the numbers which have the least common multiple (LCM) of 40 and greatest common factor (GCF) of the two numbers is 2 are 8 and 10.
Learn more about LCM and GCF, click;
https://brainly.com/question/1876277
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Select the ordered pair that is a solution
of this equation.
2x - 4y = 2
Click on the correct answer.
(-2,-3)
(-3,-2)
(-3,-6)
Step-by-step explanation:
You could do this in your head, but I'm going to type out everything.
Also, you're going to have to just test these out, there is no short cut for this sort of problem.
[tex]2(-2)-4(-3)=2\\-4+12=2\\8\neq 2\\\\2(-3)-4(-2)=2\\-6+8=2\\2=2[/tex]
I didn't do the last ordered pair because we already found one that fit the equation. Also, it wouldn't be a 1:1 equation if that last one was true, so you can rule it out once you see that (-3,-2) is the correct answer.
Answer:
(-3,-2)
completely factor -6x^3+11x^2+10x
Answer:
-x (2 x - 5) (3 x + 2)
Step-by-step explanation:
Factor the following:
-6 x^3 + 11 x^2 + 10 x
Factor -x out of -6 x^3 + 11 x^2 + 10 x:
-x (6 x^2 - 11 x - 10)
Factor the quadratic 6 x^2 - 11 x - 10. The coefficient of x^2 is 6 and the constant term is -10. The product of 6 and -10 is -60. The factors of -60 which sum to -11 are 4 and -15. So 6 x^2 - 11 x - 10 = 6 x^2 - 15 x + 4 x - 10 = 2 x (3 x + 2) - 5 (3 x + 2):
-x 2 x (3 x + 2) - 5 (3 x + 2)
Factor 3 x + 2 from 2 x (3 x + 2) - 5 (3 x + 2):
Answer: -x (2 x - 5) (3 x + 2)
Find the area of the following shapes: c
Answer:
20
Step-by-step explanation:
First, you need to find the length of each of the bases of this trapezoid. YZ has length 5-2=3, while XW has length 8-1=7. The average of these is 5, meaning that since the height of this trapezoid is 5-1=4, the area is 4*5=20. Hope this helps!
17n=0.5n what is the value of n
Answer:
N=0
Step-by-step explanation:
If we wanted to answer the question mathematically, we could solve like so:
17n=0.5n
17n-0.5n=0.5n-0.5n
16.5n=0
n=0
Jasmine, Georgia, and Olivia are in boats on a lake. Their
relative locations are shown in the diagram.
What is the distance from Georgia's boat to Olivia's boat?
Enter your answer in the box. Round your final answer to the
nearest whole number.
ft
Answer:
52 feet
Step-by-step explanation:
Took the test
What is the measure of X ?
Answer:
38
Step-by-step explanation:
Since 88 and the angle inside the triangle right next to it are a linear pair, their measure must add up to 180 degrees. Therefore, that angle's measure must be 180-88=92 degrees. Since all of the interior angles of a triangle must add up to 180 degrees as well, 50+92+x=180, meaning that x=180-92-50=38 degrees. Hope this helps!
Answer: 38°
Step-by-step explanation:
180-88 = 92°
180-92-50= 38°
Can anyone solve this?
Answer:
[tex]x= \frac{20}{3}[/tex]
Step-by-step explanation:
Set up the equation
[tex]\frac{15}{10} =\frac{10}{x}[/tex]
and cross multiply to solve for x.
A jar of quarters and dimes contains $20.00. There are 110 coins in all. How many of each are there?
Answer:
There are 50 dimes and 110-50 = 60 quarters in the collection.
Step-by-step explanation:
Let D be the number of dimes.
Then the number of quarters is (110-D).
The "value equation" is
10D + 25*(110-D) = 2000.
Simplify and solve for D:
10D + 2750 - 25D = 2000,
-15D = 2000 - 2750,
-15D = -750,
D = %28-750%29%2F%28-15%29 = 50.
What is the value of y?
Answer: ∠JKM = 106\textdegree and
∠JKM = 74\textdegree
Step-By-Step-Explanation
Since we have given that
∠JKM=10y+6
∠MKL=8y-6
Since they are linear pairs ,
So,
∠JKM =
and
∠MKL =
Determine the surface area of this cone if the radius is 4 cm and the height is 12 cm . Round your answer to the nearest tenth . Help please because it says 209.22 is not the answer
5x=29x what is the value of x
Answer:
x = 0
Step-by-step explanation:
5x=29x
Subtract 5x from each side
5x-5x=29x-5x
0 = 24x
Divide each side by 24
0/24 =24x/24
0 = x
Evaluate the expression (x + y ) if x = 4 and y = 2
Answer:6
Step-by-step explanation:
I feel like we are missing some of the equation, but here goes with what you gave
(x+y)
(4+2)
(6)
Answer:
6
Step-by-step explanation:
if x=4 and y=2 then (x+y) is (4+2)
HURRY PLSSS
A builder uses parallelogram-shaped stones as decoration around a building’s windows. The stones come in many different sizes. Each stone has a base length of x inches and a height of (4x − 2) inches. Write a polynomial to describe the area of a stone. Then find the area of a stone that has a length of 8 inches.
ANSWER CHOICES
4x ^2 − 2x; Area = 240 in^2
4x ^2 − 2; Area = 240 in^2
4x ^2 − 2; Area = 254 in^2
4x ^2 − 2x; Area = 30 in.
Answer:
C)
Step-by-step explanation:
the answer is c because you multiply 4 and 2 and get 8 and multiply 8 by 8 and get 64 then you use 4 again and multiply 64 by 4 so you get 256 and round that 254
Answer:
Step-by-step explanation:
-4( x^3 + x^2 -3 ) =
What is the angle of rotation from figure D to figure D’ ? Assume that the center of rotation is the origin.
A. 270° clockwise
B. 90° clockwise
C. 90° counterclockwise
D. 180° counterclockwise
Answer:
Option B.
Step-by-step explanation:
We take a point D from the figure attached,
Coordinates for the point D → (-1.5, 3.5)
And coordinates of D' → (3.5, 1.5)
Coordinates of D when rotated about the origin,
Option A. Rotated by 270° clockwise.
Rule to be followed,
D(x, y) → D'(-y, x)
D(-1.5, 3.5) → D'(-3.5, -1.5)
Therefore, Option A. is incorrect
Option B. rotation by 90° clockwise
Rule to be followed
D(x, y) → D'(y, -x)
D(-1.5, 3.5) → D'(3.5, 1.5)
Therefore, Option B. is correct.
Option C. 90° counterclockwise
Rule to be followed,
D(x, y) → D'(-y, x)
D(-1.5, 3.5) → D'(-3.5, -1.5)
This option C is incorrect.
Option D. 180° counterclockwise
Rule to be followed,
D(x, y) → D'(-x, -y)
D(-1.5, 3.5) → D'(1.5, -3.5)
Therefore, option D is incorrect.
Answer:
B. 90 clockwise
Step-by-step explanation:
what is the answer to 23×-5
Answer:
23×-5
= -115
The answer is -115, easy peasy
Can someone helping me?
Answer:
11
Step-by-step explanation:
Graph in desmos by making a table then you're able to count more clearly
Answer:
Answer is option b) 11
Step-by-step explanation:
[tex]distance \: between \: two \: points \\ = \sqrt{ {(y2 - y1)}^{2} + {(x2 - x1)}^{2} } \\ here \: x1 = 4 \: \: \: and \: y1 = 6 \\ x2 = - 7 \: \: \: and \: y2 = 6 \\ = \sqrt{ {(6 - 6)}^{2} + { (- 7 - 4)}^{2} } \\ = \sqrt{ { - 11}^{2} } \\ = \sqrt{121} \\ = 11[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Please help me, extra points !!
UGH HELP :(
Use the distributive property to write the expression without parentheses. Then simplify the result, if possible.
5(4x+3)
Answer:
5(4x+3)
5×4x + 5×3
20x+15
Determine the approximate ordered pair for f(x) = g(x)
(3, 12)
(3,18)
(12,3)
(18, 3)
Answer:
(3,18)
Step-by-step explanation:
please help!!!
All of the triangles above are _____ triangles.
a.) obtuse
b.) isosceles
c.) right
d.) acute
What is the area of the composite figure?
(6pi+4) cm
O(6pi+16) cm
0 (12pi +4) cm
0 (12pi+16) cm
2 cm
Answer: [tex]6\pi +4[/tex]
Step-by-step explanation:
The normal formula for area of a circle is [tex]\pi r^2[/tex] so remember it. Itll be important for the rest of your life. Now this isnt a normal circle, this is a semi circle. So, you should divide by 2.
Three Semi-Circles:
We are given the radius which is 2 cm. [tex]\frac{\pi2^2 }{2} =2\pi[/tex]
Now we gotta multiply that answer by 3 because there are three semi circles.
[tex](2\pi )(3)=6\pi[/tex]
Area of a Square:
This is simple, do [tex]s^2[/tex] to get 4
Find the value of x in the triangle... Then classify the triangle as acute, right or obtuse
34°, acute
134°, obtuse
44°, right
54°, acute
Answer:
x = 44
right
Step-by-step explanation:
The sum of the angles in a triangle add to 180
90+ 46+x = 180
Combine like terms
136+x = 180
Subtract 136 from each side
136+x-136=180-136
x =44
Since we have a 90 degree angle it is a right triangle
an aircraft carrier made a trip to guam and back. the trip took three hours and the trip back took 4 hours. it averaged 6 km/h on the return trip. find the average speed of the trip there
Answer:
8 kilometers per hour.
Step-by-step explanation:
1-If you multiply the hours of the trip back (which is 4 hours) and the kilometer per hour (6 km/h) you will get 24.
2-Do the same thing with the trip there and you will get 3 hours multiplied by *blank* equals 24.
3-the blank is 8 kilometers per hour. And I wrote equal 24 to mean that the distance to Guam was 24 kilometers.
What is the solution
Answer:
15
Step-by-step explanation:
f(x)=5x
g(x)=3x+3
(fog)(x)=f[g(x)]=f(3x+3)=5(3x+3)=15x+15
(fog)(0)=15(0)+15=15
Answer:
15
Step-by-step explanation:
First find g(0) =
g(0) = 3*0 +3
g(0) =3
Then put this into f(x)
f(g(0) ) = f(3) = 5*3 = 15
Please help with the question below
Answer:
0, 120, 120, 150
Step-by-step explanation:
0, 120, 120, 150
Just multiply the speeds by the hour.
0 * 60 = 0
2 * 60 = 120
120 + 0 * 0.5 = 120
30 * 1 + 120 = 150
please help! urgent
The cost of renting a community center is $100, with and additional $10 per guest.
Which graph has the most appropriate scales and units for this situation? (pictures attached)
Answer:
I think it is A
Step-by-step explanation:
the reason i am saying A is that you don't really know how many guests are coming it could be 10 or 15 or even more.
Answer:
Ok so it is A, I'm almost positive because the first fee is 100 but if you add ten people it is two hundred. the price is DEPENDANT on the amount of people so people is the Independent variable or (x) and cost is the dependent variable or (y) graph A lines up perfectly because if you have ten additional people you have 10 x the cost per person wich = 10 and 10 x 10=100, if you start with 100 as the base cost and add 100 in additional people you will owe 200
Step-by-step explanation:
HOLD ON if you are taking this test in plato/edmentum it will be a diffrent answer but the same graph, just try to find the same graph as graph A
