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7 months ago

Zero and negative exponentswrite in simplest for without zero or negative exponents- 17 ⁰

1 answer:

4 0

$-17^0=(-17)^0=1$ $\begin{gathered} (-2)^2\times(-2)^{-5}=(-2)^{2-5} \\ =(-2)^{-3} \\ =\frac{1}{(-2)^3} \\ =\frac{1}{-8} \end{gathered}$

Thus, the final answers are 1 and -1/8.

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A-3b=4;2a=6b-9 Answer by elimination. Please include how you got to the solution. Apparently there is a solution to this problem

AleksandrR [38]

Answer:

Step-by-step explanation:

a - 3b = 4 ---------------(eq1)

2a = 6b -9

or, 2a - 6b = -9 ------------(eq2)

2a - 6b = 8 --------(eq1) X 2

2a - 6b = -9 --------(eq2)

(-) (+) (+)

_________________________________

the variable part of both the equations are same. so the equation has more than one solution.

7 0

2 years ago

Please answer I will make you Brainliest The answer is not Carribean Plate!

Allushta [10]

Answer:

I am implying that the correct answer would be A, The Pacific plate.

Step-by-step explanation:

The Australian, Nazca and Pacific plates move up to four times faster than the smaller African, Eurasian and Juan de Fuca plates.

The 3 fastest plates:

Australian plate
Nazca plate
Pacific plate

4 0

3 years ago

Write the recursive, arithmetic and explicit formula for the nth term of the sequence:

Ivanshal [37]

Recursive Formula

$\begin{cases}a_1 = 8\\a_n = a_{n-1}-7\end{cases}$

The top row says the first term is 8

The bottom row says that to get the nth term, we subtract 7 from the (n-1)th term. So basically we subtract 7 from each term to get the next term.

Note the subscripts tell us which term we're working with.

======================================================

Arithmetic Formula

We have a = 8 as the first term and d = -7 as the common difference.

a(n) = a + d(n-1)

a(n) = 8 + (-7)(n-1)

a(n) = 8 - 7n + 7

a(n) = -7n+15

The nth term arithmetic formula is a(n) = -7n+15

If you plug in n = 1, you should get a(n) = 8

If you plug in n = 2, you should get a(n) = 1

and so on.

=======================================================

Finding the 10th term

Plug in n = 10 to get

a(n) = -7n+15

a(10) = -7(10)+15

a(10) = -70+15

a(10) = -55

The 10th term is -55

5 0

2 years ago

Derek’s Great Dane puppy is growing quickly. He gains an average of 40 ounces per week. At this rate, about how many pounds will

zvonat [6]

A year is about 52 weeks.
So in a week, 40 ounces is gained.
In 52 weeks, you should multiply 40 by 52.
40 x 52 = 2080 ounces.
There are 16 ounces to a pound
2080 divide by 16 = 130 pounds.

8 0

3 years ago

Prove identity: Sec^6x-tan^6x= 1+3tan^2xsec^2x

Kisachek [45]

This time, we start from the left side.
sec^6x-tan^6x =(sec^2x)^3-(tan^2x)^3

Then, use the identity:

a^3-b^3 = (a-b)(a^2+ab+b^2)

we get (sec^2x-tan^2x)(sec^4x+sec^2x tan^2x+ tan^4x)
Since (tan^2x+1=sec^2x)
We have $(\sec^2x-\tan^2x) = 1$.

So, (sec^2x-tan^2x)(sec^4x+sec^2x tan^2x+tan^4x)
(=sec^4x+sec^2xtan^2x+tan^4x)

Then consider (sec^4x), (sec^4x = sec^2x (sec^2x) = sec^2x(tan^2x+1) = sec^2x tan^2x+ sec^2x)

Consider (tan^4x), (tan^4x = tan^2x (tan^2x) = tan^2x(sec^2x+1) = sec^2x tan^2x- tan^2x)

Substitute the two back to (sec^4x+sec^2x tan^2x+tan^4x, and simplify it.

With the help of the identity sec^2x-tan^2x = 1, you should be able to get the right side.

7 0

3 years ago