Prove that with any natural number n (5n-4)^2-(2n+11)^2 divides by 21

Answers

Answer 1

Answer:

let natural no be 1

(5.1-4)^2-(2.1+11)^2/21

25-16-4-121/21

-5.52

Step-by-step explanation:

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Related Questions

How do you solve 5(3x+10) using the rainbow method?

Answers


Multiply using the distributive property.
15x + 50

Hello, I need help don't answer the first 3

Answers

Answer:

5. all relations are a function

6. number 4 is not a function

7. 4 is not a function

8. all are functions

9.c

10. x-2=y

11. 2/3

Step-by-step explanation:

Label each recursive routine as growth or decay (loss) and identify the percent of growth or decay.

a. Start with: 30
Rule: multiply by 1.07
growth by ????? percent


b. Start with: 100
Rule: multiply by 0.86
decay by ???? percent



c. Start with: 75
Rule: multiply by 1.125
growth by ?????? percent

Answers

Answer:

a. Rule: multiply by 1.07

1.07 = 107% = 100% + 7%

Growth by 7%

b. Rule: multiply by 0.86

0.86 = 86% = 100% - 14%

Decay by 14%

c.  Rule: multiply by 1.125

1.125 = 112.5% = 100% + 12.5%

Growth by 12.5%

SOMEONE PLS HELP WITH THIS

Answers

Answer:

blue

Step-by-step explanation:

Answer:

The second option from the left

Step-by-step explanation:

The right answer is the second option because if we follow the pattern through we will get the following...

[tex]y =2(4)^{x} \\y = 2(4)^{0} = 2(1) = 2\\y = 2(4)^{1} = 2(4) = 8\\y = 2(4)^{2} = 2(16) = 32\\y = 2(4)^{3} = 2(64) = 128[/tex]

From this we know the pattern must be 2, 8, 32, 128

SOLVE
[tex](2 x - 4) {?}^{2} [/tex]

Answers

Answer:

4x² - 16.

Step-by-step explanation:

(2x-4)² =?

(2x-4)² = (2x)² - (4)²

= 4x² - 16.

Answer:

x = 2

Step-by-step explanation:

To solve , equate to zero, that is

(2x - 4)² = 0, so

2x - 4 = 0 ( add 4 to both sides )

2x = 4 ( divide both sides by 2 )

x = 2

The ratio of boys to girls in Ella’s grade is 2:3. How many boys are in Ella’s grade?

Answers

Answer:

2

Step-by-step explanation:

If the ratio is 2:3 that means there are 2 boys and 3 girls because the sentence starts with BOYS to GIRLS meaning the number of girls come second

(y - 3)-3/2+(y-3)-1/2=0

Answers

Answer:

y=4

Step-by-step explanation:

Jerry is Reading at a rate of 2 pages every 4 minutes. which equation shows jerrys reading rate in pages per minute?

Answers

Answer:

1/2 a pager per minute

Step-by-step explanation:

2 pages every 4 mins

1 page every 2 mins

1/2 a page every 1 min

PLEASE HELP ME, JUST WITH THE SECOND ONE MATHH DECIMALSS QUICKKK PLSSS

Answers

hope it's helpful ❤❤❤

THANK YOU.

Answer:

4.35

Step-by-step explanation:

If the divisor have decimal places, multiply by 10, 100 ....

As denominator has one decimal place multiply denominator & numerator by 10

[tex]\frac{26.97*10}{6.2*10}= \frac{269.7}{62}[/tex]

= 4.35

Please solve as soon as possible

Answers

Answer:

.75

Step-by-step explanation:

Because three divided by four is .75

Answer:

Question 22: 0.75 or 75%

Question 23:   5:2

Step-by-step explanation:

Question 22: 3 divided by 4 equals 0.75

Question 23:  

2.5  = 2.5/1

2.5 × 10/10 equals 25/10

25/10 divided by 5 equals 5/2

5/2= 5:2

pleeease help will give brainliest

Answers

Answer:

2x,5x

Step-by-step explanation:

thats right I am not smart

Answer:

(x,y) = ( -6,8)

Step-by-step explanation:

waiting for brainlist

Jordan signed a rental agreement for her new condo. Based on the contract, who is responsible for paying the gas, electric, and water bills? A. The owner B. The utility company C. Jordan D. Both the owner and Jordan​

Answers

Answer:

Jordan

Step-by-step explanation:

Given the equation of line y = -2x : Does the point M( 1/2 , 1) belong to the graph?
PLEASE HELP ME! I promise to mark brainliest if you give me the correct answer. Thank you!!

Answers

Answer:

no it does not belong to the graph

Step-by-step explanation:

plug in the x-coordinate and see if it gives you the y-coordinate (1). if 1 is what comes out, then it is not a point on the graph.

y = -2(1/2)

y = -1

y = -1  when x = 1/2, which is not 1 so it does not belong to the graph

help with question 1

Answers

Answer:

si=Ptr/100

and di solution

need help please thanks​

Answers

Answer:

6x-y = -18

Step-by-step explanation:

m=6
This is the total

Plz help will mark brainliest

Answers

Answer: do 8 x 12

Step-by-step explanation:

Answer:

48cm^2

Step-by-step explanation:

(b*h)/2 -> (8*12)/2 -> 96/2 = 48 cm^2

A car can drive 560 miles on 10 gallons of gas. How many gallons of gas does the car need to drive 1,260 miles?

Answers

Answer: You could drive 1120 miles with 40 gallons of gas. The car's gas mileage is 28 miles on a gallon of gas.

Heights of American adult women are normally distributed with mean 63.6 inches and standard deviation 2.5 inches. Find the height of an adult woman that corresponds to the 80th percentile.

Answers

Answer:

65.7

Step-by-step explanation:

Given ;

Mean, m = 63.6

Standard deviation, s = 2.5

80th percentile = 80 / 100 = 0.8

The Zscore corresponding to the 80th percentile ; Z < P = 0.842 (Z probability calculator)

Zscore = (x - m) / s

0.842 = (x - 63.6) / 2.5

0.842 * 2.5 = x - 63.6

2.105 = x - 63.6

x = 63.6 + 2.105

x = 65.705

Which of the following equation have no solutions?
A. -4x + 5 = -4x - 5.
B. 4x + 5 = -4x + 5
C. 5x + 5 = -4x - 5
D. -4x + 5 = -4x - 4

Answers

Answer:

A,

Step-by-step explanation:

Hey There. Your Answers Are A. And D.

Step-by-step explanation:

A cash register contains only five dollar and fifty dollar bills. It contains five times as many five dollar bills as fifty dollar bills and the tital amount of money in the cash register is $2925. How many fifty dollar bills are in the cash register?​

Answers

There 39 $50 and 195 $5.

Please help me..make it right..

Answers

Answer: 8/9

Step-by-step explanation:

The common multiple they all share is 18, so change the denominator to that for all the fractions.

2/3 = 12/18

13/18 = 13/18

7/9 = 14/18

5/6 = 15/18

The next answer would be 16/18 which is equivalent to 8/9

Answer:

12/18,13/18,14/18,15/18

the next would be 16/18=8/9

Step-by-step explanation:

Solve for x. (5x) (3x + 28)​

Answers

X is 15 since 5 times 3 is 15

The answer is 15 because of math and calculator

What is the x-intercept of the graph of y=3-5x?
a (3/5,0)
b (-5,0)
c (0,3)
d (0, 5/3)

please help! this is due soon! thanks! :)

Answers

Answer:

3/5,0

Step-by-step explanation:

y=3-5x

5x+y= 3

y. = 3/5x

I think so answer is 3/5,0

Larry could ______ to make his budget work and afford the ticket.

Answers

Answer:

I need the answer choices

Step-by-step explanation:

A light bulb consumes 11700 watt-hours in 3 days and 6 hours. How many watt hours does it consume per day?

Answers

Answer:

3600 watt-hours consumed per day.

Step-by-step explanation:

First we'll want to find how many hours are in 3 days and 6 hours.

3 x 24 = 72 + 6 = 78

78 hours is 3 days and 6 hours.

We then divide 11700 by 78 to find out how many watt-hours it will consume per hour.

11700 / 78 = 150

Now that we know how many watt-hours it will consume per hour, we can multiply it by 24 to find out how many it will consume in a day.

150 x 24 = 3600

HELP PLEASE!! I NEED ANSWER SOON!!!!!

Which of the following is true about the expression sqrt3*sqrt12?
A.It represents the product of two irrational numbers and is equivalent to a rational number.
B.It represents the product of two irrational numbers and is equivalent to an irrational number.
C.It represents the product of two rational numbers and is equivalent to a rational number.
D.It represents the product of two rational numbers and is equivalent to an irrational number.

Answers

Answer:

A. is correct

Step-by-step explanation:

sqrt3*sqrt12 can be rewritten as √3·√12, which can be extended to

√3·√3·√4.

Note that √4 = 2 and that (√3)^2 = 3,

so the final result is 2*3, or 6 (a rational number).

A. is correct:  √3 and √12 are both irrational, but their product is rational.

Leslie purchased a new bar of soap. Three days after she originally used
the soap, she was curious how much soap per day she was using. She
decide to weigh her soap and that the bar was 103 grams. Four day later
she re-measured the same bar of sop and record a weight of 80 grams.
Assuming that Leslie uses the same amount of soap daily (and that she
used soap daily), write an equation that shows that amount of soap
remaining after d days of use. *Hint: slope intercept form and you will
need the slope formula

Answers

Answer:

The equation is:

y= 103 --23d

Step-by-step explanation:

The initial amount was 103 grams.

After one day of use the remaining amount of soap was 80 grams.

So the amount of time he spent in one day was:

Each day Leslie spends 23 grams of soap.

if d represents the number of days elapsed then, the amount of soap "y" that Leslie spends after days is:

y= 103 --23d

* HELP* A book sold 39,900 copies in its first month of release. Suppose this represents 8.2% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number

Answers

Answer:

Total copies sold= 486,585

Step-by-step explanation:

Giving the following information:

Number of copies sold in the first month= 39,900

% of copies sold in the first month= 8.2%

To calculate the total number of copies sold, we need to use the following formula:

Total copies sold= Number of copies sold in the first month/% of copies sold in the first month

Total copies sold= 39,900 / 0.082

Total copies sold= 486,585



In 2019, Chris made $142,000 as a dentist. Social Security tax was 6.2% to a maximum income of $132,900.

Medicare tax was 1.45% of all income. How much did Chris pay in FICA Taxes?

Type your answer

Answers

Answer: $10,298.80

Step-by-step explanation:

Chris made more than the limit required for the Social Security tax so his Social Security tax will be based on the maximum amount of $132,900.

His Social Security tax is therefore:

= 6.2% * 132,900

= $8,239.80

There are no limits for Medicare so Chris will pay taxes on the whole amount he earned of $ 142,000.

Medicare = 1.45% * 142,000

= $2,059

FICA tax = Social security + Medicare

= 8,239.80 + 2,059

= $10,298.80

Which of the equations below could be the equatiom of this parabola

O A. x= 1/2y^2
O B. x= -1/2y^2
O C. x= -1/2x^2
O D. x= 1/2x^2​

Answers

Answer:

D

Step-by-step explanation:

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