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ioda
3 years ago
14

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.

Mathematics
1 answer:
Cloud [144]3 years ago
7 0

Answer:

A(1) = 5

A(4) = 5.5

A(10) = 6.5

Step-by-step explanation:

An nth term formula works, whether for a arithmetic or geometric sequence, can be used to find any term in a sequence;

Simply substitute the number that corresponds with the position of the term you want to find and the formula will give the value of that term;

So:

A(1) = 5 + ⅙((1) - 1) = 5

A(4) = 5 + ⅙((4) - 1) = 5.5

A(10) = 5 + ⅙((10) - 1) = 6.5

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The pair of points (6, y) and (10, -1) lie on a line with slope
Anni [7]

Answer:

-2

Step-by-step explanation:

(-1) - (-2) = 1 and then 10 - 6 = 4 which gets you 1/4

8 0
4 years ago
Sound waves are a type of __________ wave. A) radiation B)pressure
g100num [7]

Answer:

A

Step-by-step explanation:

the type of wave out of a speaker.

6 0
3 years ago
Which products result in a difference of squares or a perfect square trinomial? Check all that apply.
tiny-mole [99]

Answer:

Option B) (7x+4)(7x+4) is correct

The product result in a perfect square trinomial is

(7x+4)(7x+4)=49x^2+56x+14

Step-by-step explanation:

(7x+4)(7x+4)=(7x+4)^2 ( using (a+b)(a+b)=(a+b)^2 )

=(7x)^2+2(7x)(4)+4^2 ( using (a+b)^2=a^2+2ab+b^2 )

=7^2x^2+56x+16

=49x^2+56x+14

Therefore (7x+4)(7x+4)=49x^2+56x+14

which is a perfect square trinomial

A trinomial is a perfect square trinomial if it can be factored into a binomial multiplied to itself. In a perfect square trinomial, two terms will be perfect squares.

Option B) (7x+4)(7x+4) is correct

The product result in a perfect square trinomial is

(7x+4)(7x+4)=49x^2+56x+14

6 0
3 years ago
Read 2 more answers
Need Help. Picture included!
Nataliya [291]

Answer:

20% discount

Step-by-step explanation:

The hat was originally 35$ he paid 28$, That's a 20% discount.

5 0
3 years ago
Read 2 more answers
Is 300 mm greater than 3 cm
rewona [7]

Answer:

Yes

Step-by-step explanation:

There are 10 mm in 1 cm.

We have 300 mm, so let's convert this to cm by using a proportion:

\frac{10mm}{1cm} =\frac{300mm}{x} , where x is the number of cm in 300 mm.

Cross-multiplying, we get: 10x = 300, so x = 30 cm.

Clearly, 30 cm > 3 cm, so yes, 300 mm is greater than 3 cm.

Hope this helps!

4 0
3 years ago
Read 2 more answers
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