What is the next number in the sequence? 9….16….24….33…

Simplify (3x)-1. A. 81x^4. B. 4x^6. C. 1/3x. D. 1/x^6

elena55 [62]

If you mean: (3x)^-1

When you have a power to a negative number (1 in this case), place the power on the numerator, with the base in the denominator.

(3x)^-1 = 1/3x

1/3x, or C) is your answer

hope this helps

3 0

2 years ago

Need help on this!!!!

Alexxandr [17]

Answer:

(a) area = 3y^2 +14y +16
(b) perimeter = 8y +20

Step-by-step explanation:

Part of the point of Algebra is that you can work with things that stand for numbers (almost) as easily as working with numbers themselves. Here, you are given values that stand for the length and width of the rectangle.

(a) You know the area of a rectangle is found by multiplying its length by its width. The same is true when length and width are algebraic expressions that stand for those numbers.

Given: length = 3y+8, width = y+2

Find: area = length × width

Solution:

area = (3y+8) × (y+2)

Using the distributive property, we can perform this multiplication in essentially the same way we would for the numbers 38 and 12.

area = 3y(y +2) +8(y +2) equivalent to 30(12) +8(12)

= 3y^2 +6y +8y +16 equivalent to 30·10 +30·2 +8·10 +8·2

area = 3y^2 +14y +16 equivalent to 3·10^2 +14·10 +16

(Of course, with numbers, there are relationships between units and tens and hundreds that let us further combine terms. When variables are involved, we can combine terms with the same power of the variable, but we cannot combine "y" terms with "y^2" terms the way we can with numbers.)

___

(b) The perimeter is the sum of the lengths of the four sides of the rectangle. Since two of those sides are "length" and two are "width", we can write ...

perimeter = 2(length + width)

Making the substitution for length and width as defined above, we have

perimeter = 2((3y+8) + (y+2))

= 2(3y+y + 8+2) = 2(4y +10)

perimeter = 8y +20

5 0

2 years ago

1.)David is starting a collection of baseball cards. He currently has 16 cards in his collection. He hopes to buy 5 more each mo

Elena-2011 [213]

MCAS Open-Response Questions & Answers. Mathematics – Middle School Level. Wachusett Regional School District. 1. Rev. April 2003 srm. Question #1 ..... If the grocer uses the same number of 5kg bags as. 2kg bags, how many bags did he use in all? Answer #16 x = total number of bags. 5(1/2x) + 2(1/2 x) = 252.

6 0

2 years ago

There are 62rows of 9 chairs in the movie theater about how many chairs are there

dem82 [27]

It's easy it's just 62×9 it equals 558

4 0

2 years ago

Read 2 more answers

In a certain computer, the probability of a memory failure is 0.01, while the probability of a hard disk failure is 0.02. If the

ratelena [41]

Answer:

We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

$P(A \cap B) = P(A) *P(B)$

For this case we have that:

$P(A) *P(B) = 0.01*0.02= 0.0002$

And we see that $0.0002 \neq P(A \cap B)$

So then we can conclude that the two events given are not independent and have a relationship or dependence.

Step-by-step explanation:

For this case we can define the following events:

A= In a certain computer a memory failure

B= In a certain computer a hard disk failure

We have the probability for the two events given on this case:

$P(A) = 0.01 , P(B) = 0.02$

We also know the probability that the memory and the hard drive fail simultaneously given by:

$P(A \cap B) = 0.0014$

And we want to check if the two events are independent.

We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

$P(A \cap B) = P(A) *P(B)$

For this case we have that:

$P(A) *P(B) = 0.01*0.02= 0.0002$

And we see that $0.0002 \neq P(A \cap B)$

So then we can conclude that the two events given are not independent and have a relationship or dependence.

8 0

2 years ago