The nth term of a sequence is 2n2 − 1 The nth term of a different sequence is 40 − n2 Show that there is only one number that is in both of these sequences.

Answers

Answer 1

Answer:

Step-by-step explanation:

nth term of a sequence = 2n² - 1

Therefore, terms of the sequence will be,

1, 7, 17, 31, 49, ........... n terms

nth term of a different sequence = 40 - n²

Therefore, terms of the sequence will be,

39, 36, 31, 24, 15, 4, -9, -24 .......... n terms  

Since, there is no negative number in the first sequence,

Therefore, out of 6 positive terms of second sequence only one number (31) is common in both the sequences.


Related Questions

Find the length of side AB.
Give your answer to 3 significant figures.
с
410
13.5 cm
A
B

Answers

Answer:

AB ≈ 8.86 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin41° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{13.5}[/tex] ( multiply both sides by 13.5 )

13.5 × sin41° = AB , then

AB ≈ 8,86 cm ( to 3 significant figures )

Answer:

8.87

Step-by-step explanation:

use the sin law for right triagles sin(θ)= opposite/hypotenuse so

sin(41)=(AB)/13.5

13.5×sin(41)=AB

8.87=AB

GUYS PLZZZ HELPPPP MEEE IM GIVING oUT BRAINLIEST PLZZZ WHAT IS IT

Answers

Answer:

its 56

Step-by-step explanation:

Lol ive done dis before

Answer:

Step-by-step explanation:

38.1

Write an equation that is perpendicular to the line y = 5x - 1 and passes through the point (10, 8)

Answers

Answer:

y = -1/5 x + 10

Step-by-step explanation:

The equation of a line in point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given the equation y = 5x -1

Slope m = 5

Slope of the line perpendicular to the line will bw M = -1/5

Substitute into the equation

y - 8 = -1/5(x-10)

5(y-8) = -(x-10)

5y - 40 = -x+10

5y = -x+10+40

5y = -x+50

y = -1/5 x + 10

Hence the required equation is y = -1/5 x + 10

margarite owns a boutique. she sells her jewelry at a 30% markup. if she buys a bracelet for $22, what would she sell it for after the markup?​

Answers

She would sell it for $26.60 after the markup.

Pet Supplies make a profit of $5.50 per bag on the nine of natural dog food. If the store wants to make a profit of no less than $5200, how many bags of dog food does the store I need to sell?

Answers

Answer:

=> (5200 X 9)/5.5=8509

Step-by-step explanation:

select all relations that are functions from the choices below.

Answers

The correct answer is A

PLEASE SHOW YOUR WORK.


Shawn designs a rectangular garden as shown below. He will design both rock sections to have the same width (x).


The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.


Describe the error in Shawn’s expression. As part of your explanation, find the difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression.

Answers

Answer:

a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

98 square feet

Step-by-step explanation:

The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.

The correct area =

15(2x + 7).

= 30x + 105 square feet

The error in Shawn’s expression is

= 15(2x + 7)

= 30x + 7 square feet

Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

30x + 105 square feet - 30x + 7 square feet

= 30x + 105 - (30x + 7)

= 30x - 30x + 105 - 7

= 98 square feet

2
2
4 4
3
7
37
39
41
43

Answers

Answer:

39

Step-by-step explanation:

PLS HELP!!! it’s easy and i’ll give brainliest

Answers

Answer:

6.5

Step-by-step explanation:

8÷tan(51)=6.47...

              =6.5(correct to the nearest tenth)

             

This year, there are 220 farmers raising chickens in the county. This is a 30% increase over last year. How many farmers raised chickens last year?

Answers

Answer:

169 farmers raised chickens last year.

Step-by-step explanation:

Given that:

Number of farmers raising chickens this year = 220

This is 30% more than previous year.

Let,

100% be the percent of previous year and x be the number of farmers who raised chicken previous year.

Percent of farmers who raised chickens this year = (100+30)% = 130%

130% of x = 220

[tex]\frac{130}{100}x = 220[/tex]

1.3x = 220

Dividing both sides by 1.3

[tex]\frac{1.3x}{1.3}=\frac{220}{1.3}\\x=169.23[/tex]

Rounding to nearest whole number

x = 169

Hence,

169 farmers raised chickens last year.

Please help I with give Brainiest if correct

Answers

Answer:

7r 637 74 472a.b/s

Step-by-step explanation:

the question is in the photo :) i’m struggling

Answers

A is 10% and B is 5%

What is the final elevation if a bird starts at 20 m and changes 16 m?

Do not include units (meters) in your answer

Answers

Answer:

Depends if the bird is going up or down, if going up, then they are 36 (you said don't say units so i won't say it) in going up and 4 if going down! :D

Step-by-step explanation:

A quadrilateral has three angles that measure 88°, 82°, and 55°. Find the unknown angle measure.

Answers

135 hope this helps :))

Answer: 135° is the unknown angle measure.

Step-by-step explanation: We know a quadrilateral has 4 angles and measure a total of 360°.

To find the unknown angle simply add all the 3 angles and then subtract them from 360°.

Follow the steps:

88° + 82° + 55° = 225°. (Added the 3 angles)

360° - 225° = 135°. (Subtract the sum of the 3 angles from 360 degrees)

Note: Figure not drawn to scale.
Height has been rounded for computational ease.

If h = 8 units, X = 9 units, Y = 8 units, and Z = 16 units, what is the volume of the triangular prism shown above?
A.
480 cubic units
B.
512 cubic units
C.
1,024 cubic units
D.
576 cubic units H= height y = is the length and z and the other x are width there is a visual

Answers

Answer:

this is very simple

its 2342423424324343

Step-by-step explanation:

Answer:

Its D i just did it on study island

Step-by-step explanation:

what is the distance between (-5,8) and (-5.-8)

Answers

Answer: Use the formula y = mx + b in order to solve for b. Then, plug in known vaules.

y= -13x -57

Step-by-step explanation:

CAN SOMEONE FROM USA DM ME PLS I HAVE ONE PROBLEM PLSSS ILL DO WHATEVER YOU WANT

Answers

What's wrong with you?

Answer:

UHHHHh

Step-by-step explanation:

wh- That's just...

f(x) = 2x + c
g(x) = cx + 7
fg(x) = 4x + d
C and d are constants.
Work out the value of d.

May someone help me pleaseeee

Answers

Answer:

c=2, d=16

Step-by-step explanation:

The value of c is 2 and value of d is 16 when f(x) = 2x + c, g(x) = cx + 7 and fg(x) = 4x + d

What is a function?

A relation is a function if it has only One y-value for each x-value.

Given,

f(x) = 2x + c...(1)

g(x) = cx + 7..(2)

fg(x) = 4x + d..(3)

We need to find the values of c and d

fg(x) = 2(cx+7) + c

Apply distributive property

fg(x) =2cx+14+c...*

Now compare * with equation 3

2cx=4x

2c=4

Divide both sides by 2

c=2

and 14+c=d

Substitute c in above equation

14+2=d

d=16

Hence, the value of c is 2 and value of d is 16 when f(x) = 2x + c, g(x) = cx + 7 and fg(x) = 4x + d

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ2

Please help. I don’t understand any of these

Answers

Answer:

use M A T H W A Y

Step-by-step explanation:

Find the missing length indicated.
х
12
9
X =
units

Answers

Answer:

16

Step-by-step explanation:

9/12=12/x

x=16

I’m literally gonna go insane from this TwT

Answers

The answer is ten
Positive 10

Conver Mixed Number to an Improper Fraction
15 and 7/10

Answers

Answer:157/10

Step-by-step explanation:

Make 15 into an improper fraction (every number is a fraction over 1) so multiply the numerator(15) and the denominator(1) by 10 to get 150/10 then add 150/10 to 7/10 to get 157/10

Answer:

[tex]\frac{157}{10}[/tex]

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

10 × 15 = 150

Step 2

Add the answer from Step 1 to the numerator

150 + 7 = 157

Step 3

Write answer from Step 2 over the denominator [tex]\frac{157}{10}[/tex]

Lamont’s grandmother started a stamp collection in 1914 (year 1) and added the same number of stamps to the collection each year. When Lamont’s mother received the collection in 1954, there were 203 stamps in the collection. Lamont’s mother continued to add the same number of stamps to the collection each year. When Lamont received the collection in 1990, there were 383 stamps in the collection. If Lamont continued to add the same number of stamps each year, how many stamps were in the collection at the end of 2000 (year 86)?

A. 204

B. 293

C. 433

D. 663

Answers

Answer: C. 433

Step-by-step explanation:

Linear equation: y=mx+c,  where m= constant rate of change, c=initial value of yor y-intercept.

Let x = number of years after 1914.

y=  Number of stamps after x years.

In 1954 (year 40), there were 203 stamps in the collection.

i.e. 203=40m+c (i)  [rate of change in number of stamps  is constant]

In 1990 (year 76), there were 383 stamps in the collection.

i.e. 383=76m+c (ii)

Subtract (i) from (ii)

180= 36m

[tex]\Rightarrow\ m=5[/tex] i.e. 5 stamps added per year.

from (i), [tex]203=40(5)+c\Rightarrow\ c=203-200=3[/tex] [Initially he has 3 stamps]

Stamps in 2000(year 86)  = m(86)+c= 5(86)+3

= 430+3

= 433

Hence, correct option is C. 433

Make q the subject of the formula 2(5q^2+1)=c

Answers

Cndnsnakandbdbbbxs snd

please help me on this will give you brainliest

Answers

expression would be

46 - 2v

Combine the like terms to create an equivalent expression. k + k A 2k B k C 3
plz help i am in 6 grade

Answers

Answer:

2k

k+k=2k

Step-by-step explanation:

Which expression is the multiplicative inverse of -21? A. B. C. 21 D. – 21 ?

Answers

Answer:

21

Step-by-step explanation:

Hope this helps!

Answer:

im prretty sure its b

Step-by-step explanation:

select the correct values for x and y in the figure below given the two figures are similar

Answers

Answer:

i think it might be B or C

Step-by-step explanation:

Answer:

B) 120

Step-by-step explanation:

both shapes are supposed to be similar, meaning the 60° on the bigger on is the same on the smaller on

360-120=240

240/2=120

The price of a skateboard is $75. If the store has a 20% off sale, how much will the skateboard be?

Answers

Answer:

The skateboard will be $60

Step-by-step explanation:

$75 x 0.2 = $15

$75 - $15 = $60

Compare: 1.6 x 10^-5 and 1.62 x 104^-4
A) >
B) <
C) =
D) none of the above

Answers

the correct answer is d

Answer:

D

Step-by-step explanation:

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