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3 years ago

Somebody please help with correct answer and explanation??!!

Mathematics

1 answer:

kati45 [8]3 years ago

5 0

Hi there! The answer is A. (0, a).

When we plug in the x-coordinate we get:
$f(0) = a \times {b}^{0} = a \times 1 = a$

When we fill in the x-coordinate of any other point we don't get a proper outcome.

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It is desired to pile some logs in layers so that the top layer contains one log, the next layer contains two logs, the next lay

Hitman42 [59]

Answer:

Yes all of the logs can be used in such a grouping.

We'll have 19 logs in the bottom row (and have 19 rows)

========================================================

Explanation:

Let n be the number of layers. Let T(n) represent how many logs there are total.

If you have 1 layer, then you have 1 log. So we can say that T(1) = 1.
If there are n = 2 layers, then we have 1 log on top of two other logs, which leads to 1+2 = 3 logs total. This shows that T(2) = 3.
If there are n = 3 layers, then we have 1 log on top of 2 which are on top of 3 at the very bottom. We have 1+2+3 = 6 logs total. So T(3) = 6.
Having n = 4 layers gives 1+2+3+4 = 10 logs. So T(4) = 10
Having n = 5 layers gives 1+2+3+4+5 = 15 logs. So T(5) = 15

This process continues for however long you like. The sequence 1,3,6,10,15 is the set of triangular numbers, since the logs form a triangular or pyramid shape when stacked this way. To get the nth value in the triangular number sequence, use this formula

T(n) = 0.5*n*(n+1)

---------------

For example, let's say we wanted to find how many logs there were in the fifth layer

T(n) = 0.5*n*(n+1)

T(5) = 0.5*5*(5+1)

T(5) = 15

This matches from earlier.

The purpose of bringing in a formula is to see if we can get T(n) = 190 for some integer n.

-------------------

T(n) = 0.5*n*(n+1)

190 = 0.5*n*(n+1)

190*2 = n(n+1)

380 = n^2+n

0 = n^2+n-380

n^2+n-180 = 0

Applying the quadratic formula will lead to the two solutions: n = -20 and n = 19. We ignore the negative value of n as we can't have a negative number of rows. Therefore, n = 19 is the only valid solution here.

If we wanted to stack 190 logs in this triangular pyramid fashion, then we'll need to have 19 rows. The bottom row will have 19 logs.

----------

Check:

1+2+3+4+5+6+7+8+9+10 = 55

11+12+13+14+15+16+17+18+19 = 135

55+135 = 190

Or you could say,

T(n) = 0.5*n*(n+1)

T(19) = 0.5*19*(19+1)

T(19) = 190

Either way, the answer is confirmed.

8 0

3 years ago

Which letter below is NOT made only of line segments? D Х М F

MrMuchimi

Answer:

Step-by-step explanation:

The letter D includes a curved line, unlike the letters X, M, and F.

5 0

3 years ago

PLEASE HELPP

Igoryamba

Answer:

There are 12 bottles of water in a full pack.

Step-by-step explanation:

-------

5 0

2 years ago

All of the following describes a balance sheet except which one

nikitadnepr [17]

What is the question here???

5 0

3 years ago

"During their first swim through a water maze, 15 laboratory rats made the following number of errors (went the wrong way): 2, 1

velikii [3]

Answer:

mean = 7.8, median =5, and mode(s) =5

the shape of the distribution is positive skewed

Step-by-step explanation:

Find the mean, median and mode(s) for

2, 17, 5, 3, 28, 7, 5, 8, 5, 6, 2, 12, 10, 4, 3

the mean = sum of (2, 17, 5, 3, 28, 7, 5, 8, 5, 6, 2, 12, 10, 4, 3)/15 =

= 7.8

the median = 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, 8, 10, 12, 17, 28, = the middle value, the 8th value falls in the middle = 5

the mode is the most occurring value = 5

2. Without constructing a frequency distribution or graph, would you characterize the shape of this distribution as balanced, positively skewed, or negatively skewed?

positive skewed or Right skewed because the value of the mean is greater than the median

A right skewed histogram is a positive skewed histogram (which means the tail is longer the positive direction) that have its tail to the right.For a right skewed histogram the mean has a larger value that the median because the peak of the skewness fall in the median range then the mean follow to the right. and the data drive the mean value to the right which increase in value.

Read more on Brainly.com - brainly.com/question/14703862#readmore

5 0

3 years ago