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3 years ago

Help me on this math shiiii

Mathematics

2 answers:

Ulleksa [173]3 years ago

8 0

When you multiply two powers of the same base, you sum the exponents:

$a^b\cdot a^c = a^{b+c}$

So, in this case,

$4^4\cdot 4^{-9} = 4^{4-9} = 4^{-5}$

Now, negative exponents works like positive exponents, except you have to invert the number: i.e.

$a^{-b} = \dfrac{1}{a^b}$

So, you have

$4^{-5} = \dfrac{1}{4^5}$

weqwewe [10]3 years ago

5 0

Answer:

It is d my lord

Step-by-step explanation:

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$180 is the annual discount

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3 years ago

What is the explicit formula for the arithmetic sequence in the table below?

valentinak56 [21]

This arithmetic sequence has a common difference of 4, meaning that we add 4 to a term in order to get the next term in the sequence.

The recursive formula for an arithmetic sequence is written in the form

For our particular sequence, since the common difference (d) is 4, we would write

So once you know the common difference in an arithmetic sequence you can write the recursive form for that sequence.

However, the recursive formula can become difficult to work with if we want to find the 50th term. Using the recursive formula, we would have to know the first 49 terms in order to find the 50th. This sounds like a lot of work. There must be an easier way. And there is!

Rather than write a recursive formula, we can write an explicit formula. The explicit formula is also sometimes called the closed form. To write the explicit or closed form of an arithmetic sequence, we use

an is the nth term of the sequence. When writing the general expression for an arithmetic sequence, you will not actually find a value for this. It will be part of your formula much in the same way x’s and y’s are part of algebraic equations.

a1 is the first term in the sequence. To find the explicit formula, you will need to be given (or use computations to find out) the first term and use that value in the formula.

n is treated like the variable in a sequence. For example, when writing the general explicit formula, n is the variable and does not take on a value. But if you want to find the 12th term, then n does take on a value and it would be 12.

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4 0

3 years ago

Dan has the same number of nickels and dimes in his piggy bank. If the total amount of those coins is $0.90, how many of each co

Karolina [17]

Hello There!

n - d = 0

5n+10d = 90

----------------------

n-d = 0

n+2d = 18

-------------------

Subtract and solve for "d":

3d = 18

d = 6 (# of dimes)

n = d = 6 (# of nickels)

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4 years ago

Factor the expression 54x+81 using GCF

navik [9.2K]

To factor 54x+81 using the greatest common factor, find the GCF of 54 and 81 by listing all factors and finding the biggest.

54 - 1, 2, 3, 6, 9, 18, 27, 54
81 - 1, 3, 9, 17, 81

9 is the gcf, so factor it out.

54x+81 = 9(6x + 9)

4 0

4 years ago

A ranger stands at the top of a 140-foot tower. She spots a tent at a 14° angle of depression. What is the distance from the t

Ksenya-84 [330]

Angle of depression=14°
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6 0

4 years ago