chứng minh rằng S= 5+ 5^2 + 5^3 + ...+ 5^1991 + 5 ^1992 chia hết cho 6

Answers

Answer 1

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


Related Questions

g(n) = 2n + 3
h(n)=n-1
Find (g•h)(n)

Answers

Answer:

Step-by-step explanation:

g(n) = 2n + 3

h(n) = n − 1

(g * h)(n) = g(h(n))

= g(n − 1)

= 2(n − 1) + 3

= 2n − 2 + 3

= 2n + 1

help pls. i’ll give brainliest

Answers

Answer:

last 2 I think

Step-by-step explanation:

okokokokokipullup

Can you help me plz.

Answers

Answer:

Step-by-step explanation:

pls gimme brainliest if im correct

Answer:

7.77, 7[tex]\frac{4}{9}[/tex], 7.4, 7[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

convert the fractions to decimals

[tex]\frac{4}{9}[/tex] = .44 so 7.44

[tex]\frac{3}{4}[/tex] = .25 so 7.25

7.77, 7.44, 7.40, 7.25

they look to already be in order.

have a lovely day <3

Help with this question, ONLY NEED TO DO NUMBER 5!!

Answers

Answer:

Kendra stayed constant after two hours: meaning she could have went out or done whatever. She has stayed constant until (5,100) and then at (6,45) she started to go downhill.

Basically the graph goes (0,210) starting point; (1.5,155) started to go downhill; (2,100) stayed CONSTANT until (5,100) and at (6,45) she went downhill.

Yk for the answer hoped it helped :D

Step-by-step explanation:

need help plz help for math class

Answers

-8/27

Step-by-step explanation:

Just multiply this fraction by itself 3 times and you will get the answer then simplify.

need help desperately.. y – 2.234 = 7.92

Answers

Answer:

251,734.

Step-by-step explanation:

y = 10.154 because you would add 2.234 to 7.92

A submarine sits at -300 meters in relation to sea level. Then it descends 115 meters. What is its new position in
relation to sea level?
O
-415 m
O
-185 m
O
-115 m
O
-100 m

Answers

DESCENDS MEANS NEGATIVE SO -115 -300 Is 415 so first one

Please help! Will brainliest!

Answers

Answer:

a= 6-b ,,, a+b=6

a+b= -2a-3,,, 3a+b=-3

2a=-9,,, a= -9/ 2

b= 21/2

2n + 5 = n - 5
Find the number that n is
And please explain :)

Answers

Answer:

-10

Step-by-step explanation:

2n + 5 = n -5
2n -n =-5-5 (putting variables in one side and numbers in other)
n=-10

The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. Write the ratios as fractions in simplest form.

Answers

Answer:

i need a picture or something man

Step-by-step explanation:

pls I need help I need it

Answers

Answer:

You would need 23 inches to build it

The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks in California. Which of the following equations would you use to find the number of State Parks in Florida? Note: f represents the number of state parks in Florida. (5 points) 3(f − 36) = 85 1 over 3 f + 36 = 85 Quantity f minus 36 all over 3 equals 85 Quantity f plus 36 all over 3 equals 85

Answers

Answer:3 f + 36 = 85 I think, hope this helps

Step-by-step explanation:

Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!​

Answers

-7x^11 is the answer.

One way that personally helps me remember the exponents properties is to imagine it written out with multiplication:

x^4 is the same as
x*x*x*x

And raised to 2 is the times itself a total of 2 times
(x*x*x*x) (x*x*x*x)

For a total of x^8. Or in other words, we can say we can “distribute” the double exponents.

x^8 times x^3 is

(x*x*x*x*x*x*x*x) * (x*x*x)
There are a total of 11 x’s or x^11

Another property when exponents are multiplied together is that they are added.

so
x^8 * -7 * x
is the same as

x^8 * x^3 * -7

And the answer is

x^11 * -7 =

-7x^11

Hope this helps

5 is to 1 as 0.5 is to
A. 1
B. 0.1
C. 0.01
D. 5
E. 0.5
F. 0.15

Answers

Answer: 0.1

The relationship from 5 to 1 is divided by 5. So, using that, 0.5 divided by 5 is 0.1.

:)

0.1 is the answer. Since 0.1 is 1/5 of 0.5

What is James's spendable income this pay period? (use pay stub) *
1 point
$709.74
$1000.00
$797.48

Answers

Are we supposed to guess???
Add them together and divide by three that will be James spendable income

Pairs of expressions are given. Select the pairs that are equivalent .

Answers

Answer:

All the options are correct

what is 4/5 divided by 2/3 simplest form

Answers

Answer:

6/5

Step-by-step explanation:

4/5 divided by 2/3 in simplest form is 6/5.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

4/5 divided by 2/3

Now,

=(4/5)/(2/3)

=12/10

=6/5

Therefore, by algebra answer in simplest form will be 6/5.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ5

What prism is this?

Answers

Answer:

A trapezoid prism from the looks of it.

Step-by-step explanation:

Hope this helps!

Write the fraction or mixed number as a decimal


5 2/11

Answers

Answer:

0.454...

Step-by-step explanation:

Five times the sum of a number and 9 equals 4

Answers

Answer:

I think it might be (x + 9)5 = 4 or 5(x + 9) = 4. I'm not really sure.

I hoped this helped

Have a nice day!

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

I believe the correct option would be C, 2p-4. I hope this helps you! :)

Answer:

C. 2p-4

Step-by-step explanation:

solve pls brainliest

Answers

Divide 47 by 14:

Answer 3.357

Rounded to nearest hundredth: 3.36

2
Solve for :
WIN
(x - 4) = 2x. (1 point)
O
o

Answers

Answer:

D. X=-2

Step-by-step explanation:

NO LINKS!!!!! Please help me.

Absolute Maximum:
f(-3):
Absolute minimum:
Range:
Domain:
Is the graph a function?:
Relative Maximum(s):
Increasing Interval(s):
Decreasing Interval(s):
Relative minimum(s):​

THIS IS NOT MULTIPLE CHOICE!!!

Answers

Answers:

Absolute maximum:  4f(-3) = -2Absolute minimum: Does not existRange: [tex](-\infty, 4][/tex]Domain:  [tex][-4, \infty)[/tex]Is it a function? YesRelative Maximum(s): 2Increasing Interval(s): [tex](-2, 1)[/tex] ... interval notationDecreasing Interval(s): [tex](-\infty, -2) \ \cup \ (1, \infty)[/tex]Relative Minimum(s):  -4

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

Explanations:

The absolute maximum occurs at the highest point. Specifically, it's the largest y output possible. In this case, it's y = 4.

----------------

To determine the value of f(-3), we draw a vertical line through -3 on the x axis. Mark where this vertical line crosses the curve. Let's say its point P. From point P, draw a horizontal line until you reach the y axis. You should arrive at y = -2. Therefore, f(-3) = -2.

----------------

The absolute min is similar to the absolute max, but now we're looking at the lowest y output possible. No such y value exists because the curve goes on forever downward.

----------------

The range is the set of all possible y outputs. The range in compound inequality notation is [tex]-\infty < y \le 4[/tex] indicating y can be anything between negative infinity and 4. We can include 4. The range in interval notation is [tex](-\infty, 4][/tex]. Note the use of the square bracket so that we include the 4.

-----------------

The domain is the set of x inputs possible. The smallest such input allowed is x = -4. There is no largest input because the graph goes on forever to the right. The domain is any x value such that [tex]-4 \le x < \infty[/tex] which condenses to the interval notation [tex][-4, \infty)[/tex]

-----------------

This is a function because we cannot draw a single vertical line through more than one point on this curve; hence, this graph passes the vertical line test.

Put another way, any x input in the domain leads to exactly one and only one y output. This is a nonvisual way to prove we have a function.

-----------------

A relative maximum occurs at any peak or mountain region. It is relatively the highest point in the neighborhood/region of points. There's one such mountain peak and it's at (1,2). We can think of this as a vertex of sorts for an upside down parabola. So the relative max is y = 2 because we're only concerned with the y value.

Note: y = 4 is not a relative max because there aren't any points to the left of that endpoint. A relative extrema must have points to the left and right of it for it to be a valid neighborhood.

-----------------

Imagine this curve represents a roller coaster. As we move to the right, going uphill on this curve is an increasing section. That would be the interval from x = -2 to x = 1. So we'd say -2 < x < 1 which condenses to the interval notation (-2, 1). This is not to be confused with ordered pair (x,y) notation.

-----------------

Now we consider when we move downhill when we move to the right. This occurs on the intervals [tex]-\infty < x < -2[/tex] and also [tex]1 < x < \infty[/tex]. We don't include any of the endpoints. This is because at x = -2 and x = 1, the cart is neither moving uphill nor downhill. These locations are stationary resting points so to speak.

Those two inequalities mentioned convert to the interval notations [tex](-\infty, -2)[/tex] and [tex](1, \infty)[/tex] in that order.

Once we determined those separated disjoint regions, we glue them together with the use of the union symbol U.

Our answer for this part would be [tex](-\infty, -2) \ \cup \ (1, \infty)[/tex]. Any point in this collective region will be moving downhill when moving left to right.

-----------------

This is similar to a relative maximum, but this time we're looking at the lowest valley point of a certain neighborhood. This is at (-2,-4). Therefore, the relative min is y = -4.

Only help me with number 5 plz

Answers

Answer:

Line AB is Perpendicular to line CD

Line AB Parallel to line EF

Answer:

perpendicular, parallel

Step-by-step explanation:

Also your answer for #4 is wrong, it's actually line FD

Can someone please help me out?
I know that by using length times width, the first rectangle is equal to 25 in^2 and the second rectangle is equal to 24 in^2. I just don't understand why they can both be right.

Answers

Answer:

Minh says that the rectangle on the left in Fig- ure 11.12 is larger than the one on the right, Sequoia says the rectangle on the right is larger than the one on the left. Explain why Minh and Sequoia can both be right. 25 Figure 11.12 Two rectangles. 24

2. ĐỊNH THỨC
2.1. Giải phương trình:
2 3 1
1 2 4 8 0
1 3 9 27
1 4 14 64

Answers

Answer:

Step-by-step explanation:

Uhm the third one number 3

in 4567 which number means ones?​

Answers

Answer:

7 means ones because it is the units

Step-by-step explanation:

4= thousand

5= hundred

6= tens

7=ones / unit

First number 4 thousand second number means hundred third numbers means tens and fourth number means ones

Question 1:
Write the specific equation for the kinetic energy E (measured
in Joules) of an 1100-kg car. Use this equation to compare the kinetic
energy of an 1100-kg car moving at a velocity of 10 meters per second to
the kinetic energy of the same car moving at 3 times the velocity.

Answers

Answer:

Step-by-step explanation:

KE = ½mv²

KE₁₀ = ½(1100)10² = 55000 = 55 kJ

KE₃₀ = ½(1100)30² = 495000 = 495 kJ

9 times greater

HELP ME, THE MIDPOINT OF AB IS M (-4,-7). If the coordinates of A are (-7,-6) what are the coordinates of B?

Answers

Answer:

(-1,-8)

Step-by-step explanation:

Multiply each value of midpoint by 2 and take away given points coordinates

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