Write the first 6 terms of the sequence.

an= -n2+6

Please show work

Answers

Answer 1
For the term number which is “n” you substitute for example to find the first term you would do

(-1)(2)+6= 4

For term two replace “n” with 2

(-2)(2)+6= 2

Then you would continue for the rest of the terms
Answer 2

Answer:

Step-by-step explanation:

[tex]a_{n}=-n^2+6\\a_{1}=-1^2+6=5\\a_{2}=-2^2+6=2\\a_{3}=-3^2+6=-3\\a_{4}=-4^2+6=-10\\a_{5}=-5^2+6=-25+6=-19\\a_{6}=-6^2+6=-36+6=-30[/tex]


Related Questions

find the value of 9w - 10 given that -5w-8=7.
simplify your answer as much as possible.

Answers

Answer:

w= -3, therefore the value of 9w-10= -37

Step-by-step explanation:

i hope this helps :)

Anna likes to skate at a candy store that is due south of her school and due west of her favorite skate park. If the candy store is 8 miles from her school and the straight-line distance between the school and the skate park is 10 miles, how far is the candy store from the skate park?

Answers

Answer:

6 miles

Step-by-step explanation:

Given that the candy store that is due south of her school and due west of her favorite skate park, the distance between the the school and the skate park when considered with the distance between the candy store and her school and that between the candy store and her favorite skate park gives us a right angled triangle.

The distance between the school and the skate park is the longest side (hypotenuse of the triangle so formed). As such, using Pythagoras theorem

10^2 = 8^2 + x^2 where x is the distance between the Candy store and the skate park

100 = 64 + x^2

100 - 64 = x^2

36 = x^2

6^2 = x^2

x = 6

The distance between the  candy store and the skate park is 6 miles

Need help getting stuck on this problem

Answers

Answer:

Variable x in first equation

Step-by-step explanation:

Given system

x = 5y - 1x + 2y = 13

Variables in this system are x and y.

Isolating a variable means rearranging the equation so that a variable of our interest is on its own in one side of the equal sign.

We see variable x is isolated in the first equation.

In the second equation both of the variables are on the same side so they are not isolated.

Answer:

x

Step-by-step explanation:

x=5y-1--(1)

The x variable is isolated here as it's solo on left side

Solve the equations

x+2y=13x=-2y+13--(2)

Equate

5y-1=-2y+137y=14y=2

x=10-1=9

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Answers

Answer:

4. 28 sq. inch

Step-by-step explanation:

First, Area of the square = l² = 2² = 4

Area of the triangle = 1/2 x b x h

= 1/2 x 2 x 6

= 6

Total surface area = Area of square + 4 x area of triangle

= 4 + 4 x 6

= 28

Solve for the given variable.
a. 4y + 3 = 19



b. 1/2n - 3 = 5

Answers

☁️ Answer ☁️

a. y = 4

b. n = 16

Hope it helps.

Have a nice day noona/hyung  ̄▽ ̄

Answer:

y=4, n=16

Step-by-step explanation:

4y+3=19

4y=19-3

4y=16

y=16/4

y=4

1/2n-3=5

1/2n=5+3

1/2n=8

n=8÷1/2

n=8/1×2/1

n=16

what is the area of the following shape​

Answers

Answer:

23

Step-by-step explanation:

if you break this shape into 2 shapes it will be easier to solve

If x=6 and y=−2, evaluate the following expression:2xy​

Answers

Step-by-step explanation:

[tex]2(6)( - 2) = \\ = 2( - 12) = \\ = - 24[/tex]

substitute 6 for x and -2 for y.
2(6) (-2)
6 • -2 = -12
2•-12=
24

Please explain how to solve this and the answer

Answers

Looking at the letter arrangement in the problem B is similar to W

Set those equal to each other and solve.

X + 24 = 2x -2

Subtract x from both sides:

24 = x -2

Add 2 to both sides:

X = 26

Now replace x in the equation for B

2x -2 = 2(26)-2 = 52-2 = 50

B = 50 degrees

The 3rd choice is the answer.

1. Could you use an inscribed prism to derive the volume of a hemisphere? Why or why not? Are there any other ways you could approximate a hemisphere, and what problems would you encounter in finding its volume?
2.Could you use a circumscribed regular n-gon as the base of a pyramid to derive the formula for the volume of a cone? Explain.

Answers

We can always get the volume of the figure whenever we get enough data to recreate that considered figure, because it provides us with necessary measurements needed for finding the volume.

When can we find the volume of a considered figure?

For finding volume of the considered figure, we somehow needs measurement of its correct dimensions by which we would be able to recreate the figure. By any means, if we could get enough measurement, then we'd be able to characterize the figure, and thus, get its volume.

Case 1. Could you use an inscribed prism to derive the volume of a hemisphere? Why or why not? Are there any other ways you could approximate a hemisphere, and what problems would you encounter in finding its volume?

Yes, if the prism fits perfectly, and we know about the prism, then it would tell us about the radius of the hemisphere. For example, we can fit a cubic prism inside it, and diagonal of that cube's base will give diameter of that hemisphere.

Case 2.Could you use a circumscribed regular n-gon as the base of a pyramid to derive the formula for the volume of a cone?

Yes, because the the base of the pyramid can give the details about radius of the cone's base, and due to the n-gon being regular and circumscribed, the height of the cone would be same as that of the height of that n-gon.

Thus, we can always get the volume of the figure whenever we get enough data to recreate that considered figure, because it provides us with necessary measurements needed for finding the volume.

Learn more about volume here:

https://brainly.com/question/2952465

Fine the missing length indicated.

Answers

Answer:

144

Step-by-step explanation:

the height is sqrt(65^2-25^2) = 60

the length of the unknow side of the largest triangle is sqrt((25+x)^2-65^2)

or also sqrt(x^2+60^2)

set them to equal

sqrt((25+x)^2-65^2) = sqrt(x^2+60^2)

==> x = 144

Answer:

The answer would be x=144

I'm d u m b so I can't figure this out lol

Answers

Answer: 6

Steps:
IQR = Q3 - Q1
7 - 1 = 6
im pretty sure the answer is 6?

plz help me whoever first answers get brainliest

Answers

Point g. ...........

Answer:

J

Step-by-step explanation:

Write the equation of a line that is parallel to y = -2/3 x + 1 and passes through the point (-6,-1).​

Answers

Take x of 35 dude and match it up with the external answer

Can someone help me i will give extra points

Answers

For the top part, both equations are vertical angles, so both equations will equal the same angle.

(4 + 23x) = (24x)

4 + 23x = 24x

4 = 24x - 23x

4 = x

Plug in x = 4 into both equations.

4 + 23(4) = 24(4)

4 + 92 = 96

96 = 96

Since x = 4 is a solution for both equations, the angle that is equal to both is 96 degrees.  

Answer: 96 degrees is the angle

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For the bottom part, both equations lie on the same straight line, so adding both equations together will equal 180 degrees.

(x + 120) + (x + 80) = 180

x + 120 + x + 80 = 180

2x + 200 = 180

2x = 180 - 200

2x = -20 (don't worry about having a negative solution)

x = -10

Plug in x = -10 into both equations.

(-10) + 120 + (-10) + 80 = 180

110 + 70 = 180

180 = 180

Since x = -10 is a solution for both equations, the angle for equation (x + 120) is 110 degrees and angle for equation (x + 80) is 70 degrees.

Answer: Since the question asked to find a measure of the angle indicated in bold, the angle measure is 70 degrees.

Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 42%. If they have five children, what is the probability that at least two of their five children will have that trait? Round your answer to the nearest thousandth.
ANSWER IS 0.697

Answers

Answer:

answer is 0.697 !

Step-by-step explanation:

What is the answer? Someone, please tell me?

Answers

The answer is B. 15 miles
You can solve it by calculating the distance using 75/300=x/48 for biking and 30/240=x/24 for running.

Solve for x (distance) in both equations then add the distances.

a pair of jeans is normally priced at $56, but is currently marked down for with a 35% discount. What is the final cost of the pair of jeans?

Answers

Answer:

36.4

Step-by-step explanation:

56x.35=19.6

56-19.6=36.4

Hometown Gym charges a $200 membership fee and $45 per month. Local Gym charges a $50 membership fee and $55 per month. Write an equation to represent the situation. After how many months will the total amount of money paid to both gyms be the same?

Answers

Answer:

=> membership fee = $50

=> monthly fee = $55

=> First month = 105$

=> 50 + 55(x)

=> 50 + 55 (15)

=> 50 + 825

=> 875

Workout gym

=> membership fee = $200

=> monthly fee = $45

=> First month = 245$

=> 200 + 45(x)

=> 200 + 45(15)

=> 200 + 675

=> 875

The new location for a park needs to be exactly 5 miles from the school. When plotted on the coordinate plane, the school is located at (3, 3). Use the Pythagorean theorem to determine two possible locations on the coordinate plane for the park. (–3, –3) (–1, 0) (0, 0) (6, –1) (6, 6)

Answers

Answer:

the answer is --1, 0 and 6, -1

Step-by-step explanation:

your welcome :) have a good day!

Answer:

B and D

Step-by-step explanation:

I took the test edg 2022 ur welcome

What force is required to lift a 50-N load with this pulley system

Answers

Answer:

The minimum force required would be 50-N!

What is 13^2 ? Help me !

Answers

Answer:

13^2 is 169

Step-by-step explanation:

Answer:

169

Step-by-step explanation:

13^2 is 13x13= 169

Hope this helps :)

(PS I included an explanation on exponents)

when you have an exponent you multiply the base number by itself as many times as the exponent says.

Example: 13^5

13 x 13 x 13 x 13 x 13= 371,293

What is BBC???????????

Answers

Answer:

BBC News is a British free-to-air television news channel ;)

Step-by-step explanation:

It was launched as BBC News 24 on 9 November 1997 at 5:30 pm as part of the BBC's foray into digital domestic television channels, becoming the first competitor to Sky News, which had been running since 1989.

One way to compute a 15% discount is to multiply the price by 0.15. The price of a pair of shoes is $142.20. How do i Calculate the discount?

Answers

$142.20 x .15% = 21.33

$142.20 - 21.33 = $119.87

How much interest does a $407 investment earn at 6% over seven years?

Answers

Answer:

$204.98

Step-by-step explanation:

407(1+0.06)^7

611.98

611.98-407

204.98

So it made $204.98

Hope this helps

Please help ASAP! Will mark brainliest if correct :)

Answers

Answer:

x is equal to 12 mm

Timberly spent 3 4/5 hours in Misty spent 2 1/10 hours at gymnastics practice over the weekend. How many more hours did Timberly spend than Misty at the gymnastics practice?

Answers

Answer:

Step-by-step explanation:

The common denominator of these 2 fractions is 10.

Turn the mixed number 3 4/5 into an improper fraction which would be

19/5.

Then multiply the numerator and denominator with 2 to get the denominator to be 10.

19/5 x 2 = 38/10

Now turn 2 1/10 into an improper fraction= 21/10

Now subtract...

38/10 - 21/10 = 17/10

So Timberly spent 17/10  or  1 7/10 more hours then Misty at the gymnastics practice

FIND THE AREA OF THE COMPOUND SHAPE

Answers

Answer: 488cm^2

Step-by-step explanation:

The area of the triangle is 12*19/2= 114cm

The area of the rectangle is 17*22=374

114+374= 488cm^2 is the area

Find the y intercept and the slope

Answers

Answer:

The slope is -1/2 and the y intercept is 1

Step-by-step explanation:

Type the expression that results from the following series of steps:
Start with n, add 5, multiply by 4, then subtract 7.​

Answers

Answer:

n+5×4-7

Step-by-step explanation:

Jack has $37 and saves $6.50 per week. Diane has $9 and saves $8.25 per week. Define a variable, then write and solve an equation to find out how many weeks it would take for Jake and Diane to have saved the same amout of money.

Answers

Answer:

Defining variable: x = per week

Equation: 37 + 6.5x = 9 + 8.25x

Answer: 16 weeks

Step-by-step explanation:

x = per week

Jack:

37 + 6.5x

Diane:

9 + 8.25x

Equation:

37 + 6.5x = 9 + 8.25x

-1.75x = -28

x = 16

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