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3 years ago

-7 1 11 10 29 6 3 6 3 6 common difference?

Mathematics

1 answer:

Hoochie [10]3 years ago

7 0

9514 1404 393

Answer:

the listed sequences have no common difference(s)

Step-by-step explanation:

The differences in the first sequence are ...

8, 10, -1, 19

These values are not equal, so there is no common difference.

The differences in the second sequence are ...

-3, 3, -3, 3

These values are not equal, so there is no common difference.

_____

The difference is the difference between a term value and the one before.

1 -(-7) = 8

3 -6 = -3

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What is the division expression that is the same as 1/5 x 1/4?

Fittoniya [83]

<h3>Hello!</h3>

$=================================$

Option A is correct & here's why.

When dividing fractions, we take the first fraction and multiply it times the reciprocal of the second fraction (the second fraction flopped over)

So if we have 1/4, then its reciprocal is 4/1, or just 4.

Hence, Option A (1/5÷4) is correct.

$==============================$

<h3>Notes:</h3>

Hope everything is clear & let me know if you have any questions!
Enjoy your day!
Always remember: Knowledge is Power! :-)

<h3>Answered by:</h3>

~DiamonD~

7 0

2 years ago

What is the eighth term in the sequence x+3, - 2x^2 - 6x, 4x^3 +12x^2

Anastasy [175]

Answer:

$a_8=-128x^8-384x^7$

Step-by-step explanation:

The terms of the sequence are:

$x+3,-2x^2-6x,4x^3+12x^2,...$

We can rewrite the terms in factored form to get;

$x+3,-2x(x+3),4x^2(x+3),...$

We can see that the subsequent terms are obtained by multiplying the previous term by $-2x$ . This is called the common ratio.

Therefore the first term of this geometric sequence is $a_1=x+3$ and the common ratio is $r=-2x$ .

The nth term of a geometric sequence is given by: $a_n=a_1(r^{n-1})$ .

Let us substitute the first term, the common ratio, and $n=8$ to obtain:

$a_8=(x+3)(-2x)^{8-1}$

$a_8=(x+3)(-2x)^{7}$

$a_8=-128x^7(x+3)$

$a_8=-128x^8-384x^7$

3 0

3 years ago

The sum of two numbers is x. if one of the numbers is 12, what is the other? 12 - x x - 12 12 x 12 · x user: one side of a squar

I am Lyosha [343]

I don't get your question, can u type it again more clearly? thanks

6 0

4 years ago

I have no idea:

kap26 [50]

So we have the formula: $c= \frac{d}{p}$
where
$d$ is the distance in kilometers
$p$ is the petrol in liters
$c$ is the petrol consumption in kilometers per liter

We now for our problem that <span>David drove a distance of 187 km, so </span> $d=187$ . We also know that he used 28 liters of petrol, so $p=28$ . Lets replace those values in our formula to find the petrol consumption:
$c= \frac{d}{p}$
$c= \frac{187}{28}$
$c=6.67857$

Now, remember that are some rules to determine the number of significant figures in a number:
1. Non-zero digits are always significant figures.
2. A zero between tow significant figures is always a significant figure.

Applying those tow rules we realize that $c$ has 6 significant figures, whereas $d$ has three significant figures and $p$ only two. In mathematical operations with significant figures, the answer should be given with the same significant figures as the number with least significant figures involved in the operations. In our case, that number is $p$ , and $p$ has two significant figures, so our answer should have 2 significant figures. To give our answer with 2 significant figures, we are going to round it:
$c=6.67857$
$c=6.7$

We can conclude that the patrol consumption of David's vehicle is 6.7 kilometers per liter.

7 0

3 years ago

One pound of grout is enough to grout a tiled area that is 110 sq. Ft. Alyssa's kitchen counter is made up of two rectangular se

Ratling [72]

Answer:

$(10.3(2.5)+3.1(2))\div 110$