Question 1
Write a conjecture that describes the pattern in the sequence, and then use the conjecture to find the next term in the sequence.
2,8, 32, 128,...
100 words remaining

Answers

Answer 1

Answer:

T5 = 512

Step-by-step explanation:

Given the sequence

2,8, 32, 128,...

The sequence is a geometric progression

nth term of a geometric progression is expressed as:

Tn = ar^n-1

a is the first term = 2

n is the number of terms = 5 (next term is the 5th term)

r is the common ratio = 8/2 = 32/8 = 4

Substitute and get the fifth term

T5 = 2(4)^5-1

T5 = 2(4)^4

T5 = 2*256

T5 = 512

Hence the next term is 512


Related Questions

the circle below is centered at the point 8.4 and has a radius of length 4 what is its equation​

Answers

Answer:

16

Step-by-step explanation:

(x-8)^2 + (y-4)^2= 16

Find the probability of getting a numbered card when a card is drawn from the pack of 52 cards.

Answers

Answer:

[tex]\frac{9}{13}[/tex]

Step-by-step explanation:

1. the formula is: p=(number_of_numbered_cards)/(total_number_of_cards);

2. the number of total numbers of the cards is 52 (according to the condition); the number of the numbered cards is:

4*(10-2+1)=36 (min is '2'; max is '10').

3. after the substitution:

p=36/52=9/13≈0.692

What two words describe the result set of a FULL OUTER JOIN minus the INNER JOIN result set in set theory parlance

Answers

Answer:

CROSS JOIN  (/^\s*symmetric\s*difference\s*$/)

Step-by-step explanation:

Remember, in SQL (Structured Query Language) operations, we can use the CROSS JOIN function to take data from one row of a table in the database and join it with each row of another table.

In other words, the result of FULL OUTER JOIN minus the INNER JOIN of the data set would require a CROSS JOIN operation which would the two different rows into one row.

Which of the following of appropriate units of measure to use when finding the mass of a pencil?

a. kilograms
b. meters
c. Grams
d. centimeter

Answers

Answer:

Grams

Step-by-step explanation:

Mass is the amount of matter present inside a solid. Kilograms and grams are the units to measure mass of an object.

For pencil, the unit to measure its mass is grams. As its mass is less, we can use smaller unit.

Hence, the correct option is (c) "grams"

..................Hot Cheetos...................

Answers

Answer:

I like lots of chips!

Step-by-step explanation:

The linear graph below represents the relationship between age (t), and height (h) of a toddler.


Write the linear function in slope intercept form h(t) that expresses the height as a function of age.

Answers

Answer:

h(t)=3/2t+59

h(t)=2/3(15)+64                        h(t)=2/3(30)+64

74=  10+64                              84=20+64

74=74                                      84=84

Please help me fast
You don’t need to explain just send the answer

Answers

Answer:

70.5 it is the answer. I hope I am helpful please mark brainlist

Determine if the statement is true or false 10,000-99,999<0

Answers

It would be true because 10,000-99,999=-89999 -89999<0 is true

(ii) factorize 9x^2 - y^2 + 4y - 4​

Answers

Answer:

(3x - y + 2)(3x + y - 2).

Step-by-step explanation:

9x^2 - y^2 + 4y - 4​

= 9x^2 - (y^2 - 4y + 4)

= 9x^2 - (y - 2)^2

= (3x - (y - 2))(3x + (y - 2)

= (3x - y + 2)(3x + y - 2).

don't exactly understand how to solve this equation ​

Answers

The answer is H= (1/2) b/A

How many different phone numbers are possible in the area code 503, if the first number cannot start with a 0 or 1

Answers

Answer:

8 X 10^(9)

Step-by-step explanation:

Originally we have 10 digit phone numbers excluding the area code.

For each face value we have these in store: 0,1,2,3,4,5,6,7,8,9 (total 10)

But if we exclude 1 and 0 for the first digit, we are left with 8 digits.

8P1 X .......

In a phone number, digits can repeat so we can choose out of these 10 numbers freely after this.

8P1 X 10P1 X 10P1 X...

Adding the area code while assuming 10P1 is just 10...we get:

1 X 1 X 1 X 8 X 10^(9)

= 8000000000

Very interesting question, thanks for the opportunity!

The number of  different phone numbers in the area code 503, if the first number cannot start with a 0 or 1 should be considered as the [tex]8 \times 10^{(9)}[/tex]

Calculation of the number of different phone numbers:

Since

we have 10 digit phone numbers that does not include the area code.

So,

For each face value we have these in store:

0,1,2,3,4,5,6,7,8,9 (total 10)

Now

if we exclude 1 and 0 for the first digit, So it left with 8 digits.

So, it be like

8P1 X .......

Likewise

8P1 X 10P1 X 10P1 X...

Now if add this,

1 X 1 X 1 X 8 X 10^(9)

= 8000000000

hence, The number of  different phone numbers are possible in the area code 503, if the first number cannot start with a 0 or 1 should be considered as the [tex]8 \times 10^{(9)}[/tex]

Learn more about number here: https://brainly.com/question/11318214

-6.2r - 4.6 -2.9r + 8.5
simplify the expression by combining like terms. PLZ HELP ASAP

Answers

Answer:

-9.1r + 3.9

Step-by-step explanation:

-6.2r - 4.6 -2.9r + 8.5

-6.2r and -2.9r are alike, so we combine.

-6.2r + -2.9r = -9.1r

-4.6 and 8.5 are alike, so we combine.

-4.6 + 8.5 = 3.9

Lin’s family has completed 80% of a trip. They have traveled 400 miles. How far is the trip?

Answers

50miles

Step-by-step explanation:

Answer:

500 miles

Step-by-step explanation:

80% is converted to its decimal form 0.8

Multiply 0.8 times "x" which is the unknown total distance of the trip (80% of the total trip) to get 400 because 80% of the trip is 400 miles. Then find x

0.8x = 400

400/0.8 = x

500 = x

It’s estimated that 800 people would attend the play, but 752 people actually attend.

What is the percent error, to the nearest percent, of the estimate? Enter the answer in the box.

*has blank box* percent error

Answers

Answer:

6

Step-by-step explanation:

752/800=0.94

0.94x100=94

100-94=6

The percent error, to the nearest percent, of the estimate is 6%

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

Given:

Expected value = 800

Actual value = 752

Now, Percent error

Computation;

Percent error = [(Actual value - Expected value)/Expected value]100

= [(800 -752) / 800]100

= 6%

Therefore, the percentage error will be 6%

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ5

f(x)=2x+6, g(x)=3x^2 find f(g(-3))​

Answers

Step-by-step explanation:

Given

f(x) = 2x + 6

g(x) = 3x²

f(g(-3)) = ?

Now

g(-3) = 3 * (-3)²

= 3* 9

=27

Also,

f(g(-3)) = f(27)

= 2* 27 + 6

= 60

Hope it helps :)

Find the inverse of the Function
[tex]f(x)=\sqrt[3]{\frac{x}{9} } -4[/tex]

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

Solve x = f(y) for y.

  x = ∛(y/9) -4

  x +4 = ∛(y/9) . . . . . add 4

  (x +4)³ = y/9 .. . . . . cube

  9(x +4)³ = y . . . . . . multiply by 9

The inverse function is ...

  f⁻¹(x) = 9(x +4)³ . . . . . matches the last choice

Alexis needs to buy 300 sheets of paper. The office store sells construction paper in the following packages
which of the following is the least expensive way for alexis to buy 300 sheets of paper


GIVING BRAINLIEST

Answers

Answer:  i think it is 45.2

Step-by-step explanation:

Package X will be the cheapest.

Two angles of a triangle measure 55° and 20° What is the measure of the third angle of the triangle?​

Answers

The measure of the third angle is 105*
All angles of a triangle equal to 180* so you add 55+20=75
Then you subtract 180-75=105
And 105* is your missing angle

help asap please no trolls !!!

Answers

9514 1404 393

Answer:

  SAS

Step-by-step explanation:

Count the number of sides marked congruent. One is marked with a single hash mark, and one is marked with a double hash mark, for a total of two.

That means the chosen congruence theorem will have S appear twice in its name, excluding AAS, ASA, and SSS.

We also note that the angles between the marked sides are vertical angles, hence congruent. The theorem that depends on two sides (SS) and the angle between them (_A_) is the SAS theorem.

In which order would the following numbers come from least to greatest?
3/4, 0.5, 2/3, -7/3, 1.2

Answers

Answer:

-7/3, 0.5, 2/3, 3/4, 1.2 valued least to greatest

Step-by-step explanation:

-7/3 is negative then 0.5 then 2/3 is .6666 as a decimal then 3/4 which is .75 as a decimal and then 1.2

82.50 +46.63 i need help

Answers

129.13, I believe.

Hope this helps.
Answer: 129.13

Explanation: stack up the decimals and usually add like you do. So 82.50+46.63= 129.13. Make sure you stack them right. :)

(5a+15b) e divizibil cu 5

va rogg e urgent

Answers

Answer:

[tex]a + 3b[/tex]

Step-by-step explanation:

[tex] \frac{5a + 15b}{5 } [/tex]

[tex] \frac{5a}{5} + \frac{15b}{5} [/tex]

[tex]a + 3b[/tex]

-6x+6y=6 -6x+3y=--12​

Answers

The answer is (x,y)=(4,2)

Hopes this helped

Answer:

y = 6

x = 5

Step-by-step explanation:

-6x + 6y = 6

-6x + 3y = - 12

Multiply the second equation by -1, then add the equations;

-6x + 6y = 6

6x - 3y = 12

___________

3y = 18

/3     /3

y = 6

x = 5

Please Help answer has much as you can

Answers

1- x=24
3.) 3(x-10)=15
4.) x-14.5=156.5

Hope it helps!

Jennifer and Joshua meet for dinner at a restaurant. After dinner, Joshua drives 15 miles south while Jennifer drives 12 miles west. How far apart are they when they stop? Round to the nearest tenth of a mile if necessary.

Answers

Answer:

19.209 miles from each other.

Step-by-step explanation:

[tex]{a}^{2} + {b}^{2} = {c}^{2} [/tex]

Using this we get:

[tex] {15}^{2} + {12}^{2} = {x}^{2} [/tex]

[tex]225 + 144 = 369 = {x}^{2} [/tex]

[tex] \sqrt{369 } = 19.209[/tex]

2x + 4
1
The shape in the figure is a square. Use the properties of a square to determine the
value of x.
OA) x = 0
OB) x = 4
OC) x= 2
D) Can't be determined.

Answers

Answer: x = 0

because the shape is a square

=> 2x + 4 = 4

⇔ 2x = 0

⇔ x = 0

Step-by-step explanation:

Right now do you believe in yourself why or why not ? (10 points)

Answers

Answer:

You should always believe in yourself no matter what. Make that be a lesson for everyone in your community!

Step-by-step explanation:

Answer:

personally, no. but if you are looking for an answer to be graded, say something positive. ¨i believe in myself right now because i have been (insert something positive). ¨

Step-by-step explanation:

i hope this has helped


In the figure, ABCD

Answers

Answer:

<AEB and <CED are congruent by vertical angles theorem.

Step-by-step explanation:

Given that AB and CD are parallel bro each other, and two straight lines intersect at E, therefore, <AEB and <CED that are formed are congruent to each other because they are vertical opposite angles.

Thus, the answer would be:

<AEB and <CED are congruent by vertical angles theorem.

I eat a third of a box of chocolates there are not 16 left how many were in the box at the start?

Answers

If you ate a third of the box and there ARE 16 left then you started with 48 originally
you started with 48 because u ate a third of it and you said 16 there fore there is 48

Which of the following equation represents a horizontal line that passes through the point (1,-2) 1.x=1 2.y=-2 3.y=-2x+1 4.y=x-2

Answers

Answer:

(2)

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (1, - 2) with y- coordinate - 2, thus

y = - 2 ← is the equation of the line

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