What is nth term for 0 6 24 54 96?

Answers

Answer 1

Answer:

Therefore, in the $nth$ term it would be $(n-1)+(18+12^n)=12^n+n+17$ .

What is the sequence ?

A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.

Here given sequence is

$0,6,24,54,96,..$

Then ,

$0+6=6\n6+18=24\n24+(18+12)=54\n54+(18+12+12)=96\n96+(18+12+12+12)=150\n150+(18+12+12+12+12)=216\n216+(18+12+12+12+12+12)=294\n294+(18+12+12+12+12+12+12)=384\n.\n.\n.\n(n-1)+(18+12^n)=12^n+n+17$

Hence, in the $nth$ term it would be $(n-1)+(18+12^n)=12^n+n+17$ .

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Answer 2

Answer: I did this via trial and error, so I don't have a good explanation (just good intuition):

$6n^(2)$

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One case can hold 3 boxes.Each box can hold 3 binders.How man cases are needed to hold 126 binders?

Answers

14 because 126 ÷3=42 and 42÷3 =14

14 because if 1 case held 3 boxes and 3 boxes held 3 Binders, that means u would have to divide 3 by 126 which equals 42 and u would have to divide that by 3 which equals 14.

Lucas makes the statement: "The exterior angles of a triangle are always obtuse." Of the following, which provides a counterexample to the statement?

Answers

The given statement "The exterior angles of a triangle are always obtuse." is not always true.

The given statement is "The exterior angles of a triangle are always obtuse."

We need to provide a counterexample to the given statement.

What is an exterior angle?

The angle is formed by a polygonalside and its extended neighbouring side. When a transversal cuts one of two lines, it creates an angle that is outside of the line.

Take an obtuse-angled triangle as a counter-example:

An obtuse-angled triangle or obtuse triangle is a type of triangle whose one of the vertex angles is bigger than 90°. An obtuse-angled triangle has one of its vertex angles as obtuse and other angles as acute angles i.e. if one of the angles measure more than 90°, then the sum of the other two angles is less than 90°.

In the figure given below, we can see in ΔABC, ∠A=110°.

Exterior angle to ∠A measures 70°.

Therefore, the given statement "The exterior angles of a triangle are always obtuse." is not always true.

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Any answer choices? Im sorry

Find a pair of square numbers which give a difference of 39

Answers

64-25=39All the square numbers are 1,4,9,16,25,36,49,64,81,100

A bag contains 26 tiles with letters A throughly Z. Find the probability of drawing two vowels with replacement. Find the probability of drawing two vowels without replacement. Round your answer to the nearest thousandth. Which is independent? Which event is dependent?

Answers

P(Vowel)=5/26
P(2 vowels with replacement)= (5/26)^2
= 25/676
=0.037
P(2 Vowels w/o replacement)=(5/26)(4/25)
=20/650
=0.031
The first event is independent
The second event is dependent

quick please combining like terms

1) -8(9k - 4)= 9k + 32

2) 8m + 6m=?

3) -6(2 + 3r)

4) 9 + 3n - 2

5) -5(-7 + 4p)

6) 2c - 5 + 8c

7) 8 + 6z + 3

8) 9p + p

9) 2(-6b + 5)

10) 8 - 3b + 7

Answers

1) -8(9k - 4)= 9k + 32
-72k + 32 = 9k + 32
-72k = 9k
-8k = k
0 = k + 8k
0 = 9k
0 = k
k = 0
---------

2) 8m + 6m
14m
---------

3) -6(2 + 3r)
-12 - 18r
----------

4) 9 + 3n - 2
3n + 7
----------

5) -5(-7 + 4p)
-5(4p - 7)
-20p + 35
----------

6) 2c - 5 + 8c
(2c + 8c) - 5
10c - 5
-----------

7) 8 + 6z + 3
6z + 11
-----------

8) 9p + p
10p
-----------

9) 2(-6b + 5)
2 × -6n + 2 × 5
-2 × 6b + 2 × 5
-12b + 2 × 5
-12b + 10
-----------

10) 8 - 3b + 7
-3b + 15

If original price is $0.75 and sale price is $0.15 what is the discount ?

Answers

Hi

0.75 ⇒ 100%
0.15 ⇒ x%

0.75x = 100·(0.15)
0.75x = 15
x = 15/(0.75)
x = 1500/75
x = 20%

100% - (discount) = x%
100% - (discount) = 20%
discount = 100%-20%
discount = 80%

Answer: 80%

Answer:

80%

Step-by-step explanation:

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