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Elena L [17]
3 years ago
13

Find all the powers of 4 in the range 4 through 1000

Mathematics
1 answer:
marissa [1.9K]3 years ago
8 0
Powers of 4 are like 4^1, 4^2, 4^3 and so on
remember that 4^x means 4 times itself x times for example
4^3=4 times iteslef 3 times=4 times 4 times 4

so the multipules of the powers of 4 are just 4 times of the previous
so we will list

4^1=4
4^2=16
4^3=64
4^4=256
4^5=1024

1024 is already more than 1000 so the list stops and is
1,16,64,256
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Answer:

Step-by-step explanation:

By triangle sum theorem,

Sum of all angles of a triangle is 180°.

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(m∠1 + m∠3) + m∠2 = 180°

2(m∠1) + 70° = 180° {Given → m∠1 = m∠3]

2(m∠1) = 110°

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Answer:

(-4,2)

Step-by-step explanation:

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What is the solution to this system of equations?
damaskus [11]

Since this is multiple choice ...

• check if B is correct:

x = 0, y = 4, z = 1   ⇒   3x - y + 4z = -4 + 4 = 0 ≠ -10

(it's not)

• check if C is correct:

x = -2, y = 4, z = 0

⇒   3x - y + 4z = -6 - 4 + 0 = -10

⇒   3x - y + 4z = 2 + 4 + 0 = 6

⇒   3x - y + 4z = -4 - 4 + 0 = -8

While this solution does satisfy the system, it can still have infinitely many other solutions that would work.

• check if D is correct:

Eliminate one of the variables from each equation. For instance,

(3x - y + 4z) + (-x + y + 2z) = -10 + 6

2x + 6z = -4

x + 3z = -2

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but now it's impossible to eliminate one of the variables.

Therefore there are infinitely many solutions to the system [D].

3 0
1 year ago
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