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3 years ago

13

Each of the figures below is made up of six squares three of the figures can be folded on the lines to form a cube which figure

cannot be folded into a cube

1 answer:

labwork [276]3 years ago

5 0

Answer:

c

Step-by-step explanation:

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Which of the following statements is true?

boyakko [2]

Answer:

B) Aluminum and steel are good conductors of electricity.

Step-by-step explanation:

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3 years ago

How to convert base two to base three

sladkih [1.3K]

Consider this example: say we want to convert <em>x</em> = 11 0101 1001₂ to base 3.

The binary expansion of <em>x</em> is

<em>x</em> = 1×2⁹ + 1×2⁸ + 1×2⁶ + 1×2⁴ + 1×2³ + 1×2⁰

which in base 10 reduces to

<em>x</em> = 512 + 256 + 64 + 16 + 8 + 1 = 857

Recall the first several powers of 3:

3⁰ = 1; 3¹ = 3; 3² = 9; 3³ = 27; 3⁴ = 81; 3⁵ = 243; 3⁶ = 729

Now it's a matter of computing quotients and remainders. Pick the largest power of 3 that fits into the target number, then check the remainder and repeat.

• How many times does the 729 go into 857? 1 time, and it leaves a remainder of 128, or

857 = 1×729 + 128 = 1×3⁶ + 128

• How many times does 81 go into 128? Also 1 time, so

128 = 1×81 + 47 = 1×3⁴ + 47

• How many times does 27 go into 47? Also 1 time,

47 = 1×27 + 20 = 1×3³ + 20

• How many times does 9 go into 20? 2 times,

20 = 18 + 2 = 2×9 + 2 = 2×3² + 2

• How many times does 1 go into 2? Also 2 times,

2 = 2 + 1 = 2×1 + 0 = 2×3⁰

So we found

857 = 1×3⁶ + 1×3⁴ + 1×3³ + 2×3² + 2×3⁰

which is the ternary expansion of <em>x</em>,

<em>x</em> = 1 011 202₃

6 0

3 years ago

What is the inverse of the function f(x) = 2x + 1?

BaLLatris [955]

Answer:

$f^{-1} = \frac{x-1}{2}$

Step-by-step explanation:

$f(x) = 2x+1$

<em>Replace it with y</em>

$y = 2x+1$

<em>Exchange the values of x and y</em>

$x = 2y+1$

<em>Solve for y</em>

$x = 2y+1$

<em>Subtracting 1 from both sides</em>

$2y = x-1$

<em>Dividing both sides by 2</em>

$y = \frac{x-1}{2}$

<em>Replace it by </em> $f^{-1}$

So,

$f^{-1} = \frac{x-1}{2}$

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4 years ago

Read 2 more answers

QUICK QUICK PLEASE! 1 MINUTE

Dima020 [189]

Step-by-step explanation:

Total tomato plants = 24 + 30 = 54

Total green bean plants = 18 + 25 = 43

The ratio of tomato plants to green bean plants

$= \frac{54}{43} = 54 \: : \: 43$

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3 years ago

Read 2 more answers

Which one is it A B C D

vovangra [49]

Answer:B

Step-by-step explanation: Alternate exterior angles theorem

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3 years ago