ind all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4

Answers

Answer 1

Answer:

All even natural numbers

Step-by-step explanation:

This is an AP with:

The first term = 1Number of terms = nCommon difference = 2

Find the sum of the first n terms:

[tex]S_n= n(1+2n-1)/2=n^2[/tex]

The sum is divisible by 4 if n is even number:

n = 2k ⇒ n² = 4k² ≡ 0 mod 4

Related Questions

10 points
Are the triangles similar? If so state how you know and pick the correct
similarity statement. *
H
R
T
ATSR -
A) similar, AA similarity; ATGH
B) similar, SAS similarity; ATHG
C) similar, SAS similarity; AHTG
D) not similar
A

Answers

Answer:

They are similar however i don't see where the a is at. If you see G would go to S which means H would go to R. I think the answer is B

Step-by-step explanation:

Last week at a gym, 120 people participated in a biking class. The number of people who ran on a treadmill
was 150% of the number of people who participated in a biking class. How many people ran
a treadmill at
the gym last week?
people ran on a treadmill at the gym last week.
Show work ~ Aniya v

Answers

Answer:

180

Step-by-step explanation:

This basically means that one and a half of the amount of people that took a biking class ran on the treadmill.

There are two ways to solve

1. [tex]\frac{150*120}{100}[/tex]

2. [tex]120+\frac{120\\}{2}[/tex]

To do the first one:

1. Multiply the values in the numerator

18000/100

2. Divide

180

To do the second one:

1. Divide the fraction

120 + 60

2. Add

180

If x =7/8 cm, y =1/4 cm, and z = 5/8 cm, what is the volume of the rectangular prism above?

Answers

Answer:

35/256

Step-by-step explanation:

Assuming x,y, and z are the sides of the prism, then you have to multiply all the sides to the the volume.

Do that, and you get 35/256

I hope this helped, and please mark this as brainliest!

you would just have to multiply them together since the formula is v = lwh.

(xyz)

(might be wrong)

1/Secx-tanx -1/secs+tanx
Need help really bad
It’s the second one

Answers

Answer:

Explanation down

Step-by-step explanation:

2 PLEASE HELP! WILL GIVE BRAINLIEST!

Answers

Answer:

Area

Step-by-step explanation:

If you are paving the parking lot, you would need every sqaure inch of the parking lot, not only the outside (which is what the perimeter is)

There are _ total possible outcomes.

Answers

Answer:

20 possible outcomes

Step-by-step explanation:

El Sr. Davis compra 30 entradas para que el club de teatro asista a una obra. Las entradas cuestann dólares cada una, por un total de $360.
¿Cuál ecuación se puede usar para hallar n?
A 30-n=360
B. n=30 = 360
C. 360 x 30 =n
D. 360 x n = 30
OE 30 x n = 360

Cual es ?

Answers

Answer:

I think C

hi how are you

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Is 2.36 a rational number?

Answers

Answer:

Yes

Step-by-step explanation:

Since it is a terminating (it ends) decimal and could be written as a fraction

slope = - 2/5; y-intercept = 0
HELP!!!!!!!!!!!

Answers

Answer:

To form the equation, it would y = -2/5x

Step-by-step explanation:

In a kindergarden class of 19 students, 100 addition problems can be completed in a mean time of 6 minutes. The
standard deviation is 1 minute.

How many students will finish before 5 minutes?

Answers

Answer:

3 students

Step-by-step explanation:

Two ways you can do this:

1. If you have a graphic calculator you can find the normal distribution function and enter the following values to get the probability of a student finished in less than 5 minutes:

Lower: 0

Upper: 5

Standard Deviation: 1

Mean: 6

This gives a probability of: 0.1587 (4.d.p)

2. You can use the formula and find the probability using the Z-table.

[tex]Z = \frac{x - \mu}{\sigma}[/tex]

Substitute known values:

[tex]Z = \frac{5 - 6}{1}\\Z = -1/1 = -1\\[/tex]

It is one standard deviation to the left of the mean,.

Look up on Z-score table and we get: 0.1587 (4.d.p)

Now we need to find expected number. We do this by multiplying the probability by the amount of people:

0.1587 x x19 = 3.0153 rounded to 3 students.

Hope this helped!

Answer:

3

Step-by-step explanation:

A writer for a magazine recently did a test to determine which mid-range digital camera takes the best pictures. Her method is described below. Which part of the method describes an area of potential bias? She gathered 20 of the best-selling cameras and used the same photographer to take 100 pictures with each camera. She ensured that the environment and the subject of each picture were consistent across all cameras and used a 10-point scale to determine picture quality. Of the cameras tested, two were from companies who are major advertisers in the magazine.

Answers

Answer:

Two were from companies who are major advertisers.

Step-by-step explanation:

Edmentum/ Plato family for the win.

Of the cameras tested, two were from companies that are major advertisers in the magazine.

What is potential bias?

Any affiliations, financing, or financial holdings that could be seen as influencing the review's objectivity to give rise to potential bias.

Such elements might consist of, but are not limited to, the following:

Employment, professional associations, paid to consult, and participation in groups that support relevant causes.

Given that:-

She gathered 20 of the best-selling cameras and used the same photographer to take 100 pictures with each camera.

She ensured that the environment and the subject of each picture were consistent across all cameras and used a 10-point scale to determine picture quality.

Of the cameras tested, two were from companies that are major advertisers in the magazine.

The potential bias is In the cameras tested, two were from companies that are major advertisers in the magazine.

To know more about a potential bias follow

https://brainly.com/question/3039092

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Hometown Donuts recently sold 19 donuts, of which 6 were cream-filled donuts. What is the experimental probability that the next donut sold will be a cream-filled donut?

Answers

Answer:

13

Step-by-step explanation:

Hometown Donuts recently sold 19 donuts, of which 6 were cream-filled donuts. What is the experimental probability that the next donut sold will be a cream-filled donut?

Write your answer as a fraction or whole number.

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

Remember That The experimental probability is the number of times an event occurs out of the total number of trials.

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

So. Write the experimental probability as a fraction in simplest form: P(Cream-Filled Donuts) = Cream-Filled Donuts over / divided by the total (Cream-Filled Donuts/Total)

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

= 6/19

-------------------------------------------------------------------------------------------------------------So, The Answer Would Be 6/19

This is the right answer, I had the same question ^^

Please also include an explanation, I'd appreciate it :-)

Answers

Answer:

[tex]30ft[/tex]

Step-by-step explanation:

So, since the scale is 1:5, 1 ft is actually 5 feet.

[tex]6ft=6[/tex]×[tex]5. 6x5=30[/tex]

Guys pls help me!!!!

Answers

Answer: D

Step-by-step explanation:

There is no points I plotted them on a graph and they don't intercept on the graph

help me please i'll make you brainiest

Answers

Answer:

1: 7 4/5 2: 5 1/2 3: 17 13/15

Step-by-step explanation:

John drank 12 oz of soda. If this was 60% of the soda in the bottle, how many ounces of soda were in the full bottle?

Answers

Answer:

20oz

Step-by-step explanation:

60%=12oz

this can be simplified into 1%

in order to find 1% divide by 60

60%/60=1%

in order to find out how much 1% is, divide 12oz by the number used to divide the percent

12/60=0.2

so 0.2=1% and we want to know 100% so multiply by 100

0.2x100=20

1%x100=100%

so 20oz=100% of the bottle

Which number on the number line represents the OPPOSITE of -7/2? Select a place on the number line to plot the point.

Answers

Answer:

the answer would be 3 1/2

Step-by-step explanation:

if you simplify -7/2 it would be -3 1/2, and the opposite of -3 1/2 is 3 1/2.  And from 0-3 there are 6 spaces, so every two spaces counts as 1. Therefore the point would go one spot after positive 3.  

An altitude is also called the __ of the triangle. One endpoint must be a _____ of the triangle. The altitude creates a ______ ______ with the opposite side of the triangle. FILL IN THE BLANKS

Answers

Answer:

do you have answer choices or is this just fill in the blanks ?

what is 47/50 as a percent

Answers

94%

47/50 × 100 = 47 ×2 = 94 %

Answer:

94%

Step-by-step explanation:

Basically you need to divide the numerator (47) by the denominator(50). Then after you do that you will find yourself with a decimal of 0.94. lastly multiply your decimal by 100 to get your final answer, which is 94%.

Diego wants to sell his bicycle. It cost $150 when he bought it but has depreciated by 15%. How much should he sell it for?

Answers

Answer:

$127.50

Step-by-step explanation:

15/100 = 0.15

0.15 x 150 = 22.5

150 - 22.5 = 127.5

Please help! I’ll give brainliest

Answers

Answer:

D

Step-by-step explanation:

D

-7x + y = -2 in slope-intercept form. what is the y-intercept and slope?

Answers

add -7x to the other side so the equation is

y=7x-2

slope is 7

y-int is -2

What is the value of in the solution of the
system of equations 3x + 2y = 12 and 5x – 2y = 4?

Answers

Answer:

x = 2

y = 3

Step-by-step explanation:

add the 2 together and the y-values drop out and you are left with:

8x = 16

x = 2

3(2) + 2y = 12

2y = 6

y = 3

Look at the equation below.
77 +9y = 4
What is the value of y?
4 -9
B -8.1
с 9
D 21.5

Answers

The answer is B -8.1

A 6 ft. Observer cast a 4 ft. Shadow. At the same time the chimney on the Ohio Power Co. Cast an 804 ft. Shadow. How tall is the chimney?

Answers

Answer:

1,206 ft

Step-by-step explanation:

6/4 = 1.5   ( proportion 1.5)

804(1.5) = 1,206

Simplify (4a^m+3)^3*(1/16a^1-m)^2

Answers

The simplified answer is 27m^2

The simplification of the given expression is equal to (336a² + 27[tex]a^{(2-2m)[/tex])/256.

To simplify the expression, let's start by expanding each term and then combining like terms:

Expand the first term (4[tex]a^m[/tex] + 3)³

(4[tex]a^m[/tex] + 3)³ = (4[tex]a^m[/tex]  + 3)(4[tex]a^m[/tex] + 3)(4[tex]a^m[/tex]  + 3)

Using the binomial expansion formula for (a + b)³

(a + b)³ = a³ + 3a²b + 3ab² + b³

So, for (4[tex]a^m[/tex]  + 3)³

(4[tex]a^m[/tex]  + 3)³ = 4³ × ([tex]a^m[/tex] )³ + 3 ×4² [tex]a^m[/tex]  ([tex]a^m[/tex] )²× 3 + 3 × 4× ([tex]a^m[/tex] ) × 3² + 3³

= 64[tex]a^{(3m)[/tex] + 144[tex]a^{(2m)[/tex] + 108[tex]a^m[/tex] + 27

Expand the second term (1/16[tex]a^{(1-m)[/tex])²

(1/16[tex]a^{(1-m)[/tex])² = (1/16[tex]a^{(1-m)[/tex]) (1/16[tex]a^{(1-m)[/tex])

Simplify the square of a fraction by squaring the numerator and denominator separately:

(1/16[tex]a^{(1-m)[/tex])² = (1²)/(16²) × ([tex]a^{(1-m)[/tex])²

= 1/(256) × [tex]a^{(2(1-m))[/tex]

=[tex]a^{(2-2m)[/tex]/256

Now, let's multiply both simplified terms:

(4[tex]a^m[/tex] + 3)³ ×(1/16[tex]a^{(1-m)[/tex])²

= (64[tex]a^{(3m)[/tex] + 144[tex]a^{(2m)[/tex]+ 108[tex]a^m[/tex]+ 27)  ([tex]a^{(2-2m)[/tex]/256)

Now, combine the terms with similar exponents:

= (64[tex]a^{(3m)[/tex]  [tex]a^{(2-2m)[/tex] + 144[tex]a^{(2m)[/tex] [tex]a^{(2-2m)[/tex]+ 108[tex]a^m[/tex]  [tex]a^{(2-2m)[/tex] + 27 × [tex]a^{(2-2m)[/tex])/256

Using the property [tex]a^m \times a^n = a^{(m+n):[/tex]

= (64[tex]a^{(3m + 2 - 2m)[/tex]+ 144[tex]a^{(2m + 2 - 2m)[/tex] + 108[tex]a^{(m + 2 - 2m)[/tex]+ 27[tex]a^{(2-2m)[/tex])/256

Simplify the exponents,

= (64a² + 144a² + 108a² + 27[tex]a^{(2-2m)[/tex])/256

Now, combine the like terms:

= (336a² + 27[tex]a^{(2-2m)[/tex])/256

Therefore,  the simplified expression is equal to (336a² + 27[tex]a^{(2-2m)[/tex])/256.

Learn more about simplification here

brainly.com/question/2804192

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Brainliest and 15 points if you get this problem right! NO LINKS= No BRAINLIEST

Answers

Answer:

1. Movie B

2. Movie C

3. 40 years old

Step-by-step explanation:

Answer:

Part 1 = Movie B.

Step-by-step explanation:

Part 2. Movie C

Part 3. 40

What is the ratio of the areas of AABC to AA'B'C' ?


Help please I only have 36 minutes left

Answers

According to my official calculations of the picture above, A'B'C' is 4x larger than the triangle ABC. Which would mean that ABC' is from a dialation of 4 from the original triangle, ABC.

I can't remember how you put it into the ratio form, but I think its 1:4??????

NEED HELP ASAP (will give 10 points)

Answers

Answer:

Overuse of natural resources would not be a benefit, since it isn't a good to overuse something

The Ferris wheel at a state fair has a radius of 60 feet,
rotates at a constant speed, and completes 1 rotation in
4 minutes. How many degrees does the Ferris wheel
rotate in 30 seconds?
A. 20°
B. 24°
C. 30°
D. 45°
E. 48°

Answers

I think the answer is E
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