Convert each unit of length

1. The temperature in Buffalo, New York, one Saturday was 68°F. The temperature the following Monday was 80°F. Write an equation

EastWind [94]

80-68=x
since 80-68= 12, x is equal to 12.

5 0

3 years ago

amara needs to create a special tasting menu at her restaurant. She needs to select 4 dishes from 7 available dishes and put the

denpristay [2]

By taking in mind the number of combinations of 4 out of the 7 dishes, and the possible orders of these 4 dishes, we will find that there are 840 unique ways to arrange 4 of the 7 dishes.

We know that if we have a set of N elements, the total number of different combinations of K elements (K ≤ N) out of the N elements is given by:

$C(N, K) = \frac{N!}{(N - K)!*K!}$

In this particular case, we have:

N = number of available dishes = 7
K = number that we need to select = 4

Then the number of different combinations is given by:

$C(7, 4) = \frac{7!}{(7 - 4)!*4!} = \frac{7*6*5}{3*2} = 35$

Now we have 4 dishes selected, but we also need to order them.

For the first dish, there are 4 options.
For the second, there are 3 options (as one was already selected).
For the third, there are 2 options.
For the last one there is only one option.

The number of different arrangements of the dishes is given by the product between the numbers of options above, this gives:

4*3*2*1 = 24

Then the total number of unique ways of arranging 4 of the 7 dishes is:

C = 24*35 = 840

Where we take in mind the possible number of combinations of 4 out of the 7 dishes, and the possible orders of these 4 dishes.

If you want to learn more, you can read:

brainly.com/question/9976085

4 0

3 years ago

When their child was born, Elaine and Mike Porter deposited $5,000 in a savings account at Tennessee Trust. The money earns inte

Blizzard [7]

Amount in compound interest = p(1 + r/t)^nt where p is the initial deposit, r = rate, t = number of compunding in a period and n = period.

Here, Amount after 2 years = 5,000(1 + (6/100)/4)^(2 x 4) = 5,000(1 + 0.06/4)^8 = 5,000(1 + 0.015)^8 = 5,000(1.015)^8 = 5,000(1.126493) = $5,632.46

4 0

3 years ago

Read 2 more answers

Whoops help im having points. <br>

kupik [55]

Answer:

it's 15

Step-by-step explanation:

4 0

3 years ago

3/2 x 4/3 x 5/4… x 2006/2005

Lady_Fox [76]

Answer:

1003

Step-by-step explanation:

The problem is a classic example of a telescoping series of products, a series in which each term is represented in a certain form such that the multiplication of most of the terms results in a massive cancelation of subsequent terms within the numerators and denominators of the series.

The simplest form of a telescoping product $a_{k} \ = \ \displaystyle\frac{t_{k}}{t_{k+1}}$ , in which the products of <em>n</em> terms is

$a_{1} \ \times \ a_{2} \ \times \ a_{3} \ \times \ \cdots \times \ a_{n-1} \ \times \ a_{n} \ = \ \displaystyle\frac{t_{1}}{t_{2}} \ \times \ \displaystyle\frac{t_{2}}{t_{3}} \ \times \ \displaystyle\frac{t_{3}}{t_{4}} \ \times \ \cdots \ \times \ \displaystyle\frac{t_{n-1}}{t_{n}} \ \times \ \displaystyle\frac{t_{n}}{t_{n+1}} \\ \\ \-\hspace{5.55cm} = \ \displaystyle\frac{t_{1}}{t_{n+1}}.$ .

In this particular case, $t_{1} \ = \ 2$ , $t_{2} \ = \ 3$ , $t_{3} \ = \ 4$ , ..... , in which each term follows a recursive formula of $t_{n+1} \ = \ t_{n} \ + \ 1$ . Therefore,

$\displaystyle\frac{t_{2}}{t_{1}} \times \displaystyle\frac{t_{3}}{t_{2}} \times \displaystyle\frac{t_{4}}{t_{3}} \times \cdots \times \displaystyle\frac{t_{n}}{t_{n-1}} \times \displaystyle\frac{t_{n+1}}{t_{n}} \ = \ \displaystyle\frac{3}{2} \times \displaystyle\frac{4}{3} \times \displaystyle\frac{5}{4} \times \cdots \times \displaystyle\frac{2005}{2004} \times \displaystyle\frac{2006}{2005} \\ \\ \-\hspace{5.95cm} = \ \displaystyle\frac{2006}{2} \\ \\ \-\hspace{5.95cm} = 1003$

6 0

3 years ago

Convert each unit of length​

Convert each unit of length