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3 years ago

Which best describes the realationship between the successive terms in the sequence shown

Mathematics

1 answer:

Kaylis [27]3 years ago

5 0

Answer:

$the \: common \: difference \: is \: - 10$

Step-by-step explanation:

$- 9 - 10 = - 1$

$- 1 - 10 = - 11$

$- 11 - 10 = - 21$

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A product code consists of four letters followed by five digits. Only the letters X, Y, and Z can be used ( and any of the digit

Morgarella [4.7K]

Answer:

$\frac{49}{81}$ , 60.494%

Step-by-step explanation:

I am going to try to tackle this. I might miss a step as I am currently taking discrete mathematics.

We want to find all the possibilities with 1y, 2ys, 3ys, and 4ys, out of all total possibilities.

_ _ _ _ _ _ _ _ _

For the letters, in each spot, we have 3 choices. For the numbers, we have 10 choices in each spot

3*3*3*3 * 10*10*10*10*10

= 81*100000

= 8100000

The number of Y's will never affect the number of permutations of the numbers.

So:

For 1 y, we have

Y _ _ _ * 10*10*10*10*10

But we also have

_ Y _ _

_ _ Y _

and

_ _ _ Y

So we can multiply the number we get in one calculation by 4

4 *

Y _ _ _ * 10*10*10*10*10

2*2*2 * 10*10*10*10*10

= 800000 * 4 = 3200000

For 2 y's, we have

YY _ _

_ YY _

__ YY

YY 2*2 * 10^5

4 * 100000

400000 * 3 = 1200000

For 3 y's, we have

YYY _

_ YYY

2 *

YYY 2 * 10^5

200000 * 2

= 400000

For 4 y's, we have

YYYY * 10^5

100000

Now we can add them all up and divide it by our original number 8100000

$\frac{100000 + 400000 + 1200000 + 3200000}{8100000} = \frac{49}{81}$

7 0

3 years ago

F(x)=x^2 What is g(x)?

Vikki [24]

Answer:

answer is D

Step-by-step explanation:

4 0

3 years ago

Given the domain of the function, find the corresponding range. f(x) = 4x - 1 Domain: {3, 7, 11, 15}

Alinara [238K]

Answer:

Range : {11,27,43,59}

Step-by-step explanation:

Given:

f(x) = 4x - 1

Domain : {3,7,11,15}

f(3) = 4(3) -1 = 11

f(7) = 4(7) -1 = 27

f(11) = 4(11) -1 = 43

f(15) = 4(15) -1 = 59

hence Range : {11,27,43,59}

6 0

3 years ago

Find the first five terms of the recursive sequence <br> an=-6an-1 where a1=4.5

grandymaker [24]

Answer:

4.5, -27, 162,-972, 5832

Step-by-step explanation:

The given recursive definition is,

$a_n=-6a_{n-1}, a_1=4.5$

This will form a geometric sequence with first term 4.5 and common ratio r=-6.

When n=2, we have:

$a_2=-6a_1 \\ \implies \: a_2=-6 \times 4.5 = - 27$

When n=3, we get:

$a_3=-6a_2 \\ \implies \: a_3=-6 \times - 27 = 162$

When n=4, we get:

$a_4=-6a_3 \\ \implies \: a_4=-6 \times 162 = - 972$

When n=5, we get:

$a_5=-6a_4 \\ \implies \: a_5=-6 \times - 972 = 5832$

Therefore the first five terms are:

4.5, -27, 162,-972, 5832

3 0

4 years ago

The temperature in Chicago was reported as 2.5 degrees F below zero. The temperature in Detroit was reported as 1.5 degrees F ab

kvasek [131]

Answer:

It would be B) -2.5 degrees F

Step-by-step explanation:

If it was 2.5 BELOW zero that would put it -2.5

3 0

3 years ago