Ask question

Ask question

All categories

aleksklad [387]

3 years ago

14

The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term. Which recursive formula represe

nts the situation?

1 answer:

Harman [31]3 years ago

3 0

This is what I found, I haven't done this math in a while so this is as much help as I can be. I hope this helps.

You might be interested in

Jacob takes 3 4 h to fill one shelf at the supermarket. Henry can fill the shelves in half Jacob’s time. There are 15 shelves. H

VMariaS [17]

Answer:

3 3/4 hours

Step-by-step explanation:

If Henry can fill 2 shelves in the time it takes Jacob to fill one, working together they can fill 3 shelves in 3/4 hour, an average rate of 1/4 hour per shelf. It will take them 15 times 1/4 hour to fill 15 shelves.

Henry and Jacob working together can fill 15 shelves in 3 3/4 hours.

4 0

3 years ago

Three types of shirts sold at a store cost $8.00, $11.00 and $13.50. One day the store sells a total of 35 shirts

Flura [38]

The equations are listed below

What is an equation?

An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.

The system of equations are:

9x + 11y + 12.50z = 243

x + y + z = 23

z = 2y

x = 11 shirts

y = 4 shirts

z = 8 shirts

To learn more about equations, click on the link

brainly.com/question/28196676

#SPJ9

6 0

1 year ago

At Acme Inc., there are 3 more than twice as many salespeople as inventors. If the whole company has 27 employees,

Olenka [21]

Answer:

There are 8 inventors.

Step-by-step explanation:

Let 's' be the salesperson

Let 'i' be the inventors

Given that there are 3 more than twice as many salespeople as inventors.

i.e s = 3+2i

Also given that the whole company has 27 employees.

i.e.

s + i = 27

substituting s = 3+2i

3 + 2i + i= 27

3 + 3i = 27

3i = 27 - 3

3i = 24

divide both sides by 3

i = 8

Thus, there are 8 inventors.

<u>VERIFICATION</u>

As the total number of employees is 27.

so the salespeople will be:

s = 3+2i

= 3 + 2(8)

= 3 + 16

= 19

Thus, the total employees are verified as:

s + i = 27

19 + 8 = 27

27 = 27

4 0

3 years ago

2/(a-7)(a+2)=4/(a+3)(a+2)

pochemuha

$\frac{2}{(a - 7)(a + 2)} = \frac{4}{(a + 3)(a + 2)}$

$\frac{2}{(a^{2} + 2a - 7a - 14)} = \frac{4}{(a^{2} + 2a + 3a + 6)}$

$\frac{2}{a^{2} - 5a - 14} = \frac{4}{a^{2} + 5a + 6}$

$2(a^{2} + 5a + 6) = 4(a^{2} - 5a - 14)$
$2(a^{2}) + 2(5a) + 2(6) = 4(a^{2}) - 4(5a) - 4(14)$
$2a^{2} + 10a + 12 = 4a^{2} - 20a - 56$
$2a^{2} - 2a^{2} + 10a + 12 = 4a^{2} - 2a^{2} - 20a - 56$
$10a + 20a + 12 = 2a^{2} - 20a + 20a - 56$
$30a + 12 + 56= 2a^{2} - 56 + 56$
$\frac{30a + 68}{2} = \frac{2a^{2}}{2}$
$15a + 34 = a^{2}$
$\sqrt{15a + 34} = a$

6 0

3 years ago

A number is selected, at random, from the set {1,2,3,4,5,6,7,8}.

Olegator [25]

Applying the formula, you have:

A = the number is prime

B = the number is odd

I assume that with "random" you imply that all numbers can be chosen with the same probability. So, we have

$P(A) = \dfrac{4}{8} = \dfrac{1}{2}$

because 4 out of 8 numbers are prime: 2, 3, 5 and 7.

Similarly, we have

$P(B) = \dfrac{4}{8} = \dfrac{1}{2}$

because 4 out of 8 numbers are odd: 1, 3, 5 and 7.

Finally,

$P(A \land B) = \dfrac{3}{8}$

because 3 out of 8 numbers are prime and odd: 3, 5 and 7.

So, applying the formula, we have

$P(\text{prime } | \text{ odd}) = \dfrac{P(\text{prime and odd})}{P(\text{odd})} = \dfrac{\frac{3}{8}}{\frac{1}{2}} = \dfrac{3}{8}\cdot 2 = \dfrac{3}{4}$

Note:

I think that it is important to have a clear understanding of what's happening from a conceptual point of you: conditional probability simply changes the space you're working with: you are not asking "what is the probability that a random number, taken from 1 to 8, is prime?"

Rather, you are adding a bit of information, because you are asking "what is the probability that a random number, taken from 1 to 8, is prime, knowing that it's odd?"

So, we're not working anymore with the space {1,2,3,4,5,6,7,8}, but rather with {1,3,5,7} (we already know that our number is odd).

Out of these 4 odd numbers, 3 are primes. This is why the probability of picking a prime number among the odd numbers in {1,2,3,4,5,6,7,8} is 3/4: they are literally 3 out of 4.

5 0

4 years ago