3 years ago

Equivalent to 4^7•4^-5

Mathematics

1 answer:

nekit [7.7K]3 years ago

3 0

Answer:

Step-by-step explanation:

$\text{Use}\ a^n\cdot a^m=a^{n+m}\\\\4^7\cdot4^{-5}=4^{7+(-5)}=4^{7-5}=4^2=4\cdot4=16$

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What is the simplest form of this expression? (x + 7)(3x − 8)

Komok [63]

Answer: 3x^+13x-56
Steps
1). Multiply the parentheses
(X+7)(3x-8)
=X x 3x -8x+7 x 3x -7 x 8
2). Multiply
3x^-8x + 21x - 56
3). Do like terms
3x^+13x - 56
4). Solution
[3x^+13x - 56]

-HOPE THAT HELPEDED <3

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3 years ago

An arithmetic sequence has a1 = 22 and a8 = 43. Find a15.

brilliants [131]

The 15th term of the arithmetic sequence $a_{15} = 64$

Option B is correct

The nth term of an arithmetic sequence is given as:

$a_{n} = a + (n - 1)d$

The first value, a = 22

$a_8 = a+(8 - 1)d\\a_8 = a + 7d$

Since $a_8 = 43$

$43 = 22 + 7d\\7d = 43 - 22\\7d = 21\\d = \frac{21}{7}\\d = 3$

The common difference, d = 3

$a_{15}= a + (15-1)d\\a_{15} = a + 14d\\a_{15} = 22 + 14(3)\\a_{15} = 22 + 42\\a_{15} = 64$

The 15th term of the arithmetic sequence = 64

Learn more here: brainly.com/question/24072079

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1 year ago

A bag contains marbles numbered 1 through 100. Zoe draws a marble. Then, without replacing the marble, she draws a second marble

Neporo4naja [7]

If starting out, there are 100 marbles and Zoe pulls out a 5 and doesn't replace it, then there are 99 marbles left to choose from. So, there are 9 digits 1-10 (not including #5) making the proportion you have left 9/99 which simplifies to 1/11

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3 years ago

Planes X and Y and points J, K, L, M, and N are shown. Exactly how many planes contain points J, K, and N? 0 1 2 3

defon

0, because 3 points make a line.

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3 years ago

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(-2,-5)(-3,-6) slope

kakasveta [241]

Answer: Slope = 1

Step-by-step explanation:

Slope = <u>Y2 - Y1</u> <u> -6 -- 5</u> <u>-6 + 5</u> = <u> -1</u> = 1

X2 - X1 -3 --2 -3 + 2 -1

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2 years ago