chứng minh rằng S= 5+ 5^2 + 5^3 + ...+ 5^1991 + 5 ^1992 chia hết cho 6
Answer:
steps below
Step-by-step explanation:
5¹+5² = 30 30/6 = 5¹
5³+5⁴ = 125 + 625 = 750 750/6 = 125 = 5³
5⁵+5⁶ = 18750 18750/6 = 3125 = 5⁵
...........
(5¹⁹⁹¹+5¹⁹⁹²)/6 = 5¹⁹⁹¹
sum of every couple consecutive multiple of 5 are multiple of 6, the sum
S= 5+ 5^2 + 5^3 + ...+ 5^1991 + 5 ^1992 IS multiple of 6
Solve using proportions
Help!!!!!!!!!!!!!!!!
Answer:
geevehrhrirbirbrbrnrnrbrbrbrbrbblo Uruguay 7dm9 7dm9 uvo idilio icono iconorbtbrbbrbrbrbrjrjjrj4jrkkenenenrnrnnktkr
Step-by-step explanation:
higos arraigo titubear otorgó eurodiputados
Increase £15837.77 by 18.5% Give your answer rounded to 2 DP.
Answer:
£18, 767.7574
Step-by-step explanation:
15837.77 x 18.5%=2,929.98745
15837.77 + 2,929.98745= 18, 767.7574
Hope this helps! Please ask me freely if you have any questions regarding this.
Answer:
Step-by-step explanation:
100+18.5=118.5
15837.77×118.5 %=18767.75745≈18767.76
Can someone help me with number 18 please!!!!
Step-by-step explanation:
try general keyboardjdjdjjkdd
I dont understand Analyze and solve percent problems
Answer:
okay, well, is there any link u wanna post for us to help u? maybe we can explain it?
Step-by-step explanation:
A baseball team played 75 games and lost 20% of them. How many games did the team lose?
O 15
O 20
O 55
O 60
Answer: 15
Step-by-step explanation: 20% → .20
.20 x 75 = 15
QUESTION: 600 ÷ ___ = 3?
SOURCE: i-Ready
Answer:
The answer is 200 I AM POSITIVE
Step-by-step explanation:
Mark me as branliest maybe??
fill in the blank (Geometry B)
Joseph is playing with blocks to create a design. With each step he continues to add
blocks. How many blocks will be required in the 5th and 6th step? Explain how you
know.
Answer:
times by 2 because it keeps going up by times 2 the number of blocks
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Answer:
5th: 32
6th: 64
The number doubles at each step.
Step-by-step explanation:
Sequence problems are always tricky. Any finite list of numbers can always be represented by a polynomial, and can include any arbitrary next number. Generally, you are asked to find a simple rule that can explain the sequence shown and can be used to predict the continuation of the sequence.
It is often useful to look at the differences between values and/or their ratios. The sequence of block counts is ...
2, 4, 8, 16
1st differences are 4 -2 = 2, 4, 8 . . . . . the differences match the sequence
ratios are 4/2 = 2, 8/4 = 2, 16/8 = 2 . . . . . . the ratio is common: 2
We observe that each number of blocks is double the one before, and that the number of blocks is a power of 2 equal to the step number.
The blocks in the 5th step will be 2^5 = 32.
The blocks in the 6th step will be 2^6 = 64.
_____
Additional comment
It also looks like the shape alternates between a rectangle and a square. The 5th step will probably be a rectangle, and the 6th step will be a square.
Sam is playing a board game. He must roll dice to determine if he gets an extra turn. The probability of getting an extra turn is 6/17. Find the odds in favor of getting an extra turn.
Answer:
6 to 11
Step-by-step explanation:
By definition,
the odds in favor of getting an extra turn =
(# of chances to get an extra turn in 17 attempts) / (# of chances to not get an extra turn in 17 attempts) =
6 to (17 - 6) =
6 to 11.
A person's heart beats 200 times in 3 minutes. How many times will it beat in an hour (remember...60 minutes in an hour) ?
200 times / 3 minutes = x times / 60 minutes
3x = 12000
x = 4000 times in an hour
A person's heart will beat 4000 times in an hour.
Hope this helps!! :)
Answer: 4000 beats per hour
Step-by-step explanation:
200 beats X 60 minutes
3 minutes 1 hour
The term 'minutes' cancel out therefore you are left with beats per hour
200 x 60 = 12000 = 4000 beats per hour
3 3
For each pair of functions f and g below, find S (8 (x)) and
Please help
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Answer:
(a) f(g(x)) = g(f(x)) = x; functions are inverses
(b) f(g(x)) = g(f(x)) = x +4; functions are not inverses
Step-by-step explanation:
(a)f(g(x)) = f(1/(6x)) = 1/(6(1/(6x))) = 1/(6/(6x)) = 1/(1/x)
f(g(x)) = x
__
g(f(x)) is the same, because f(x) = g(x).
g(f(x)) = x
f and g are inverses of each other__
(b)f(g(x)) = f(x +2) = (x +2) +2
f(g(x)) = x +4
__
g(f(x)) is the same, because f(x) = g(x).
g(f(x)) = x+4
__
f and g are not inverses of each otherHelp help help close
Answer:
x = 3.2
Step-by-step explanation:
Divide 400 by 125 to get x.
Answer:
x = 31.25%Step-by-step explanation:
[tex]125 = x \: \: . \: \: 400 \\ \frac{125}{400} \times 100\% = x \\ 31.25\% = x[/tex]
Cho các tập hợp
A =( x∈R|x²-5x+4≤0)
B= (x∈R|x-1|≤1)
C=(x∈R|x²-7x+6≤0)
xác định: (A∪B)∩C
(A∩B)∪C
CAN YOU BRAINLEST ME THANK YOU
HOPE IT HELPS YOU
spot the error and rewrite pllz I need now
Quotient ×Remainder+dividend=Divisor
Answer:
Divisor × Quotient + Remainder = Dividend
Step-by-step explanation:
Hope it is helpful.....
Answer:
Divisor×Quotient+Dividend=Remainder
What is length of Ef?
A.10
B.15
C.20
D.v200
E.v300
F.v500
Answer:
Answer E is correct
Step-by-step explanation:
Let the Length of EF be x
Use PYTHAGORAS theorem to find the length of EF
EF² + DF² = DE²
[tex] {x}^{2} + {10}^{2} = {20}^{2} \\ {x}^{2} + 100 = 400 \\ {x}^{2} = 400 - 100 \\ {x}^{2} = 300 \\ x = \sqrt{300} [/tex]
So,
[tex]EF = \sqrt{300} [/tex]
Hope this helps you.
Let me know if you have any other questions :-)
4. As Jody dives below the water, its temperature decreases by 0.3 degrees Fahrenheit per foot that he dives. If
Jody is diving at a rate of 2.5 feet per second and the water at the surface is at a temperature of 68 degrees
Fahrenheit then what is the temperature of the water Jody is in after diving for 20 seconds?
(1) 48
(3) 57
(2) 53
(4) 83
Answer:
83
Step-by-step explanation:
The temperature of the water Jody is in after diving for 20 seconds is 53.
Given that,
The temperature should be decreased by 0.3 degrees.The rate should be 2.5 feet per second and the temperature of 68 degrees.And, the time taken is 20 seconds.Based on the above information, the calculation is as follows:
[tex]= 68 - (2.5\times 20\times 0.3)[/tex]
= 68 - 15
= 53
Therefore we can conclude that the temperature of the water Jody is in after diving for 20 seconds is 53.
Learn more: brainly.com/question/20459283
find the surface area 5 in 7 in 3 in
Answer:
Step-by-step explanation:
If theses are the edges of a prism then
Surface area = 2(5*7 + 5*3 + 7*3)
= 2 * 71
= 142 in^2.
Hey can you help me.?
Find the coordinates of point U.
A. (1.2, 0.4)
B. (1.4, 0.4)
C. (2.4, 0.4)
D. (0.4, 1.4)
Answer:
B（1.4,0.4）
write x axis then y axis
it have 5line between 1 and 2
so 1/5＝0.2
one line mean0.2
Answer:
B（1.4,0.4）
write x axis then y axis
it have 5line between 1 and 2
so 1/5＝0.2
one line mean0.2
what's the slope of line parallel to the line x-4 = -6
Answer:
Parallel slope is undefined.
Step-by-step explanation:
x - 4 = -6
x = -2
Slope does not exist.
Solve the for variable
c+7=13
c = ?
Answer:
c=6
Step-by-step explanation:
c+7=13
-7 -7
c=13-7
c=6
i need to know what 9+10=
this is literally kindergarten math smh
its 21
Please help me I need help
What do I do about this?
Answer:
you can get a VPN and it will let you view restricted content
What is the algebraic inverse of the function? f(x) = 2x -6 please include steps
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Answer:
f^-1(x) = (x +6)/2
Step-by-step explanation:
The inverse function is found by solving ...
x = f(y)
Here that is the solution to ...
x = 2y -6
x +6 = 2y . . . . . add 6
(x +6)/2 = y . . . divide by the coefficient of y
The inverse function is ...
f^-1(x) = (x +6)/2
How to figure out the equation for this graph?
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Answer:
y = x² -6
Step-by-step explanation:
It helps to remember what the coordinates of a point on a graph mean.
(x, y) ⇒ the point is x units right of the y-axis, and y units up from the x-axis
If we subtract 6 from the y-value, the point will move down on the graph by 6 units.
__
The red graph is shifted down 6 units from the original black graph. Every (original) y-value has 6 subtracted from it. The original points are described by ...
(x, y) = (x, x²)
When we subtract 6 from the y-value, the points become ...
(x, x² -6)
That is, the new (shifted) value of y is ...
y = x² -6
Taylor is twice as old as jessi if you add their ages together you get 27 hold old are Taylor and jessi
Answer: Taylor is 14 and Jessi is 13
Step-by-step explanation:
Since you can't divide 27 by 2, you would most likely break it in half. SInce the question states that Taylor is still older, she would be 14, and Jessi 13.
Unit 3 parallel and perpendicular lines homework 2 please help quickly don’t understand front page
Answer:
this statement is confusing me
Step-by-step explanation:
cause I don't understand it