I need help with #61 to #64 ASAP please and thank you …. Could someone please help me with it… I need to get it done ASAP .. I need the answers for all of them ASAP
Answers
Problem 61
Refer to this link where I solved the problem earlier
https://brainly.com/question/24517029
===========================================================
Problem 62
T(n) = nth triangular number
T(n) = n(n+1)/2 = 0.5n(n+1)
That squares to (0.5n(n+1))^2 = 0.25n^2(n+1)^2
The next triangular number after T(n) is
T(n+1) = 0.5(n+1)(n+1+1) = 0.5(n+1)(n+2)
That squares to 0.25(n+1)^2(n+2)^2
Notice how each squared result has 0.25 and (n+1)^2 found buried in them.
Let's say A = 0.25(n+1)^2
That would mean the first result 0.25n^2(n+1)^2 becomes An^2
The second result 0.25(n+1)^2(n+2)^2 becomes A(n+2)^2
Let's add those to see what happens
An^2+A(n+2)^2
An^2+A(n^2+4n+4)
A(n^2+n^2+4n+4)
A(2n^2+4n+4)
0.25(n+1)^2*(2(n^2+2n+2))
0.5(n+1)^2(n^2+2n+1+1)
0.5(n+1)^2((n+1)^2+1)
0.5k(k+1)
We see that the result is a triangular number where k = (n+1)^2
This shows that adding the squares of consecutive triangular numbers gets us another triangular number.
A few examples
3^2+6^2 = 9+36 = 45 which is in the form n(n+1)/2 when n = 96^2+10^2 = 36+100 = 136 which is in the form n(n+1)/2 when n = 16Answer: Triangular number===========================================================
Problem 63
I'll borrow some of the ideas from problem 62
We found that after squaring the nth and (n+1)th triangular numbers, we got An^2 and A(n+2)^2 respectively. We let A = 0.5(n+1)^2
Subtract those expressions to get...
A(n+2)^2 - An^2
A(n^2+4n+4)-An^2
A(n^2+4n+4-n^2)
A(4n+4)
4A(n+1)
4*0.5(n+1)^2*(n+1)
(n+1)^3
This proves that the difference between the squares of consecutive triangular numbers is a perfect cube, aka a cube number.
A few examples:
6^2 - 3^2 = 36 - 9 = 27 = 3^310^2 - 6^2 = 100-36 = 64 = 4^3Answer: Cube number===========================================================
Problem 64
Refer to this link where I solved the problem earlier
https://brainly.com/question/24517029
Related Questions
The number of yards a football team moves on the
field can be represented using the expression 131+141.
How
many yards does the football team moue.
Answers
Answer:272
Step-by-step explanation:
Find the following terms (First term, second term, last term)
1 .(x + 1)'2
2. (x + 2)'2
3. (x + 3)'2
4 . (x + y)'2
Answers
Answer:
F = FIRST TERM
S = SECOND TERM
L = LAST TERM
Step-by-step explanation:
1- (x+1)² = x²+2x+1
F = x²
S = 2x
L = 1
2- (x+2)² = x² + 4x + 4
F = x²
S = 4x
L = 4
3- (x+3)² = x² + 6x +9
F = x²
S= 6x
L= 9
4 (x+ y)² = x²+2xy +y²
F = x²
S = 2xy
L = y²
Solve for x. x/8+x/10=9/8 Simplify your answer as much as possible.
Answers
Answer:
I hope it's helps you
have a nice day
Answer:
x = 5
Step-by-step explanation:
x/8 + x/10 = 9/8
=> 10x/80 + 8x/80 = 9/8
=> 18x/80 = 9/8
=> 18x = 9/8 (80)
=> 18x = 90
=> x = 90/18
=> x = 5
help? help help help help...
Answers
Answer: 15s+9s=120
Step-by-step explanation:
s=Seconds
Can someone pls help me it's urgent? Pls and thank you
Answers
Answer:
Below (correct me if i am wrong, mark me as brainliest if right)
Step-by-step explanation:
Let's narrow this down, shall we?
It could not be A, because AB and AD are not the same length, AD is a longer line
It is B, because AC an AD seem to be equal lengths
It is C because of B! They are of equal length meaning ACD is a equilateral triangle
it could not be D because it appears to be a scalene triangle and have left as a longer side
It is E because CDE is a isosceles triangle
6.339m plus 0.170m plus 30.4m
Answers
Answer:
36.909m
Step-by-step explanation:
6.339+0.170+30.4
=36.909m
How to do this question
Answers
Answer:
I dont understand this question
D is answer
Step-by-step explanation:
Combine terms
Multiply -3 x 42
-3/7x-126/7
Divide 126 by 7
-3/7x - 18
So now you pick anything that matches that answer which is D.
Last year, the girls’ basketball team had 20 fifth-grade students and 10 sixth-grade students. What was the ratio of sixth-grade students to total students on the team! Please add the work I’m stuck
Answers
Answer:
10:30
Step-by-step explanation:
Since it is asking for the ratio of 6th grade students to all you need to put the amount of 6th grade students first. Then you add the amount of 6th and 5th grade students to get 30. and so the ratio would be 10:30. Hope it helped! :)
what does -5/8 ÷ 12=
I tried -5/96 but it did not work
Answers
Answer:
Its -5/96 in fraction form and −0.052083 repeating in decimal form.
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
What is an Integer? (10 points!) all nonessential answers will be reported. Ty for answering!
Answers
Percents from fraction models
Each square below represents one whole.
As
What percent is represented by the shaded area?
MY
Co
MY
Stuck? Review related articles/videos or use a hint.
Answers
Answer:
13 shaded is the correct one
What is the shape of this cross section?
Giving brainliest to the best answer :)
Answers
It's a rectangle.
It clearly shows the outline of the shape presented.
Solve for F: -11-7q=-7-12
Answers
Answer:
q=8/7
Step-by-step explanation:
Can someone please solve for x
Answers
Answer:
x=-12
Step-by-step explanation:
AC=AB+BC
x+29=2x+33+8
x-2x=33+8-29
-x=12
x=-12
Compare using <, >, or =.
3 7/8 ___ 3 5/6
=
<
>
PLEASE HELP AND EXPLAIN THANK YOU
Answers
Answer:
37/8 < 35/6
Step-by-step explanation:
This is because 37/8 - 35/6 is equal to -1/5/24
The school needs to purchase a new refrigerator for student rewards. Lowes and Scars have the model
that the school would like to purchase. Lowes is having a 15% off sale and Sears is having a 10% off
sale with free delivery. If the original price at both stores is Lowes is $700, which is the better buy if
there is a $25 for delivery from Lowes?
Answers
Answer:
-(6y + 2z) - 7z - (12z + 32y)7,956
Step-by-step explanation:
18 ÷ 6 × [4 - 3] + 6
Answers
Answer:
9
Step-by-step explanation:
18 ÷ 6 × [1] + 6
18 ÷ 6 + 6
3 + 6
9
18 ÷ 6 × [4 - 3] + 6
18/6 *1+6
3+6
=9
-17 + 20 + -3 = ?
also please try to explain it if u can :3
Answers
Answer:
000000000000000
Step-by-step explanation:
no explanation
HELP I NEED HELP THIS IS DUE TODAY HELP HELP HELP
Answers
9+9 is 21 that all I no osjjj
What's the difference between like and unlike algebraic expressions
Answers
Answer:
In algebra,
• Like terms are terms having the same literal (variable) with same exponents.
Example: 5y + 8y are like terms because they are both "y".
• Unlike terms are terms having the same variable with different exponents or different variable with same exponents.
Example: 4x + 19y are unlike terms because x and y are two different variables with different coefficients.
Hope it helps :D
in the figure below the measure of <1=5x°, the measure of <2=y°, and the measure of <3=85°. Find the value of each variable.
(for the first one <1=5x° I found out x=17 so I just need the rest if you can)
Answers
Answer:
y=95
Step-by-step explanation:
17x5=85
180-85=95
y=95
Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x and y is 17 and 95, respectively.
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.
The measure of ∠1 and ∠3 will be equal since the two angles are vertical angles. Therefore, we can write.
∠1 = ∠3
5x° = 85°
x = 85° / 5
x = 17°
Also, the sum of measures ∠1 and ∠2 will be equal to 180°, this is because the two angles form a pair of linear angles. Therefore, we can write,
∠1 + ∠2 = 180°
5x + y = 180°
Substitute the value of x,
5(17°) + y = 180°
85° + y = 180°
y = 180° - 85°
y = 95°
Hence, the value of x and y is 17 and 95, respectively.
The complete question is mentioned below.
Learn more about Vertical Angles here:
https://brainly.com/question/24460838
#SPJ2
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!!
The descriptions in the table can be represented by one of the expressions or
equations shown
Drag an expression or equation next to the description it represents.
Answers
Answer:
1. 3H
2. G = 3H
Step-by-step explanation:
1. Three times the number of pics that Helen has. ⇒ 3H
2. George has three times the number of pics that Helen has. ⇒ G = 3H
4d=-4d+12+20
PLEASE HELP ASAP
THE ORIGINAL PROBLEM IS
-4(-d-4) = -4d+6(2d+6)
Answers
Answer:
The answer is (d= -5)
Step-by-step explanation:
The photo is the explanation.
(x+3)/7 -(2x-5)/3 = (3x-5)/5 -25
Answers
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \large \sf\frac{ x+3 }{ 7 } - \frac{ (2x-5) }{ 3 } = \frac{ (3x-5) }{ 5 } -25 \\ [/tex]
[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]
[tex] \large \boxed{ \bf \: x=25}[/tex]
[tex] \huge \boxed{\mathfrak{Steps} \downarrow}[/tex]
[tex] \large \sf \: \frac{ x+3 }{ 7 } - \frac{ (2x-5) }{ 3 } = \frac{ (3x-5) }{ 5 } -25 \\ [/tex]
Multiply both sides of the equation by 105, the least common multiple of 7,3,5.
[tex] \large \sf \: 15\left(x+3\right)-35\left(2x-5\right)=21\left(3x-5\right)-2625 \\ [/tex]
Use the distributive property to multiply 15 by x+3.
[tex] \large \sf \: 15x+45-35\left(2x-5\right)=21\left(3x-5\right)-2625 \\ [/tex]
Use the distributive property to multiply -35 by 2x-5.
[tex] \large \sf \: 15x+45-70x+175=21\left(3x-5\right)-2625 \\ [/tex]
Combine 15x and -70x to get -55x.
[tex] \large \sf \: -55x+45+175=21\left(3x-5\right)-2625 \\ [/tex]
Add 45 and 175 to get 220.
[tex] \large \sf \: -55x+220=21\left(3x-5\right)-2625 \\ [/tex]
Use the distributive property to multiply 21 by 3x-5.
[tex] \large \sf \: -55x+220=63x-105-2625 \\ [/tex]
Subtract 2625 from -105 to get -2730.
[tex] \large \sf \: -55x+220=63x-2730 \\ [/tex]
Subtract 63x from both sides.
[tex] \large \sf \: -55x+220-63x=-2730 \\ [/tex]
Combine -55x and -63x to get -118x.
[tex] \large \sf \: -118x+220=-2730 \\ [/tex]
Subtract 220 from both sides.
[tex] \large \sf-118x=-2730-220 \\ [/tex]
Subtract 220 from -2730 to get -2950.
[tex] \large \sf \: -118x=-2950 \\ [/tex]
Divide both sides by -118.
[tex] \large \sf \: x=\frac{-2950}{-118} \\ [/tex]
Divide -2950 by -118 to get 25.
[tex]\large \boxed{ \bf \: x=25}[/tex]
find the distance between the points (0,-2) and (6,-6)
Answers
Answer:
Formular:
[tex]length = \sqrt{ {(x_{1} - x_{2} )}^{2} + {(y_{1} - y_{2} ) }^{2} } [/tex]
x1 » 0
x2 » 6
y1 » -2
y2 » -6
[tex]l = \sqrt{ {(0 - 6)}^{2} + {( - 2 - 6)}^{2} } \\ \\ l = \sqrt{ {( - 6)}^{2} + {( - 8)}^{2} } \\ \\ l = \sqrt{36 + 64} \\ \\ l = \sqrt{100} [/tex]
for the √100 in surds:
[tex]l = \sqrt{10 \times 10} = \sqrt{ {10}^{2} } = ( {10}^{2} ) {}^{ \frac{1}{2} } \\ \\ { \boxed{ \boxed{distance = 10 \: \: units}}}[/tex]
2√13
Decimal Form:
7.21110255
Plzzzzzz Yelp asap!!!!!! Solve for X and Y
Answers
(7x+18)+(5x-6)=180
7x+18+5x-6=180
12x+12=180
12x=180-12
12x=168
x=168/12
x=14
5(14)-6
=64
Answer:
(7x+18)°+(5x-6)° =180° adjacent angles sum up to 180°
7x+5x+18-6=180
12x+12=180
12x=180-12
12x=168
dividing through by 12
x=14
(3y+11)°=(7x+18)° corresponding angles
3y+11=7(14)+18
3y+11=98+18
3y+11=116
3y=116-11
3y=105
dividing through by 3
y=35
1/2 (x -7/4) = 1/8 (x+2)
Answers
Answer:
1/2 x 1/8 = 1/16 in fraction form.
If the point (3,4) is 6 units above the point P(x,y) and 11 units to the right of it, then what are the coordinates of the point P(x,y)?
Answers
Answer:
x = 3+11
y = 4 - 6
P(x,y) = P(15,-2)
Answer:
Step-by-step explanation:
x - Coordinate = 11 units to the right of 3 = 3 + 11 = 14
y -Coordinate = 6 units above 4 = 4 + 6 = 10
P(14 , 10)
4 less than n is 9.?
Answers
Answer:
13. Bestie literally 9+4
Answer:When solving a question like "What number is 4 less than 9?", take a close look at what it is really asking.
You have the number 9 and you are looking for a number that is 4 less than 9. In other words, if you have 9 and take away 4, then how many do you have?
You guessed it! This is a subtraction problem. 9 is the minuend and 4 is subtrahend and the answer we are looking for is the difference.
Therefore, to solve "What number is 4 less than 9?", you subtract 4 from 9 like so:
9 - 4 = 5
Step-by-step explanation:
In a third-grade classroom, the number of books read by each student in one
month is:
6.7.5, 6, 8, 7, 8, 6, 9.7, 6, 5, 7, 6,9
Click on the line plot that shows these data.
Number of
Books Read
Number of
Books Read
Number of
Books Read
Number of
Books Read
х
XX
X X
X X X X X
X X X X X
5 6 7 8 9
xx
xxx
xxxxx
xxxxx
5 6 7 8 9
xx
xx
x x
X X X X X
xxxxx
5 6 7 8 9
XX
XX
X X X X X
xxxxx
5 6 7 8 9
Answers
Answer:
i say number 3
Step-by-step explanation:
