Describe how (2^3)(2^-4) can be simplified.

Mathematics

2 answers:

Marat540 [252]2 years ago

8 0

Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Monica [59]2 years ago

6 0

Answer:

Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Step-by-step explanation:

your welcome

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What is the greatest common factor of 4k, 18k4, and 12?

levacccp [35]

Factor each
4k=2*2*k
18k⁴=2*3*3*k*k*k*k
12=2*2*3

GCF=2

the greatest common factor is 2

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2 years ago

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The common difference in an arithmetic sequence is –2 and the first term is 47. What is the 29th term?

BlackZzzverrR [31]

An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).

The equation for an arithmetic sequence is
$A_{n}=A_{1}+(n-1)d$

$A_{n}$ is the "n-th" number in the sequence (ex: is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so $A_{1}=47$
d=-2 because the question gives you that

$A_{n}=A_{1}+(n-1)d$
 $A_{29}=47+(29-1)(-2)$
 $A_{29}=47+(28)(-2)$
 $A_{29}=47+-56$
 $A_{29}=-9$

The answer is A. -9.

 

The answer is C. 158

For the second one, it gives you $A_{1}=4$ and $A_{}=18$
You can use this to find d

 $A_{n}=A_{1}+(n-1)d$
 $A_{3}=4+(3-1)d$
 $18=4+(3-1)d$
 $18=4+2d$
 $14=2d$
 $7=d$

Now you can just solve using the equation normally.
 $A_{n}=A_{1}+(n-1)d$
 $A_{23}=4+(23-1)(7)$
 $A_{23}=4+(22)(7)$
 $A_{23}=4+154$
 $A_{23}=158$

The answer is C. 158

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3 years ago

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Simplify the following expression. -14x^2+9x-4x^2+5

Naya [18.7K]

Answer:

i think the answer is -18x^(2)+9x+5

-18x^(2)+9x+5

Subtract 4x^2 from −14x^2

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Are corresponding angles in similar figures congruent?