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frez [133]
3 years ago
6

2. A display window consists of a stacked pyramid of books for sale. The bottom row has 27 books. Each row has two fewer books t

han the row below it. The display has 13 rows (a) Write and use a function to determine how many books are in the top row. Show your work. (5 points ) (b) Use the appropriate formula to determine the number of books in the entire display. Show your work . (4 points )
Mathematics
1 answer:
Svetach [21]3 years ago
8 0

Answer:

A) 1

Step-by-step explanation:

A) 27 ÷ 13 = 1

B) if you take away 2 from "27", "13" times you will get 1 as the final answer.

I hope this helps, if I'm wrong please do correct me.

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dalvyx [7]
The answer for this is (2,3)
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3 years ago
Find the dimensions of a rectangle (in m) with area 1,728 m2 whose perimeter is as small as possible. (Enter the dimensions as a
lozanna [386]

Given :

Area of rectangle.

To Find :

The dimensions of a rectangle (in m) with area 1,728 m2 whose perimeter is as small as possible.

Solution :

Let, the dimensions of rectangle is x and y.

Area, A = xy.

x = A/y.              ....1)

Perimeter, P = 2( x + y )

Putting value of x in above equation, we get :

P = 2( y + \dfrac{A}{y})

For minimum P,

\dfrac{dP}{dx}=2( 1 - \dfrac{A}{x^2})=0\\\\A = x^2

SO, it is a square.

x=\sqrt{A}\\\\x=\sqrt{1728\ m^2}\\\\x=24\sqrt{3}\ m

Therefore, the dimensions are (24\sqrt{3},24\sqrt{3}).24\sqrt{3}

Hence, this is the required solution.

7 0
3 years ago
Which statement is true about the graphs of the two lines and ? y= -8x -5/4 and y = 1/8x + 4/5
Ronch [10]
Y = -8x - 5/4......slope here is -8 or -8/1
y = 1/8x + 4/5...slope here is 1/8

what u have here are negative reciprocal slopes....negative reciprocal of a number can be found by flipping the number and changing the sign. So the negative reciprocal of -8/1 is 1/8 (see how I flipped the number and changed the sign)...and when u have negative reciprocal slopes, this means that ur lines are perpendicular.
7 0
3 years ago
17.
Hitman42 [59]
<h3>Solution:</h3>

Using formula (a-b)^2 = a^2-2ab+b^2

4x^{2}  - 12x + k \\  =  > (2x) ^{2}  - 2(2x)(3) +  {3}^{2}  \\  \\  =  >  {(2x)}^{2}  - 2(2x)(3) + 9

<h3>Answer:</h3>

k = 9

8 0
2 years ago
Read 2 more answers
Suppose the names of the months of the year are placed in a hat and a name is drawn at random. (a) list the sample space for thi
ollegr [7]

(a)

The sample space is a set whose elements are all the possible outcomes for the experiment. Since we will extract one of the months of the years, the sample space is the set composed by all the 12 months:

\Omega = \{ \text{January},\ \text{February},\ldots,\text{December}\}

(b)

An event is a subset of the sample space. Events are often defined by their properties. In this example, the event E is the subset of the sample space defined as

E = \{ x \in \Omega: x \text{ starts with the letter J}\}

So, we have

E = \{\text{January},\ \text{June},\ \text{July}\}

(c)

If all outcomes have equal probability, then the probability of an event is the ratio bewteen its cardinality, and the cardinality of the whole sample space:

P(E) = \dfrac{n(E)}{n(\Omega)} = \dfrac{3}{12} = \dfrac{1}{4}

In words, since there are three months beginning with J out of 12 months, we have a probability of 3 over 12 to pick a month starting with J, which simplifies to 1 over 4.

3 0
3 years ago
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