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2 years ago

What is the answer for 2n ≤ -6?

Mathematics

1 answer:

yawa3891 [41]2 years ago

3 0

Answer:

n ≤ -3.

Step-by-step explanation:

2n ≤ -6

n ≤ -6/2

n ≤ -3.

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Delphine has to place 64 bottles of water on a banquet table. it must have a way to fill a rectangular. what are the possible ar

tangare [24]

Answer:

Since $64= 2^6$ , you have the following arrangements.

Optional: $64 \times 1$ (and it's mirror version $1 \times 64$ , if you want to consider a long strip of bottles a rectangle. Technically it is, but it's open to interpretation.

$32 \times 2$ and it's mirror $2 \times 32$ ;

$16 \times 4$ and it's mirror $4 \times 16$ ;

Optional: $8 \times 8$ . Since a square is a rectangle with extra limitations.

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1 year ago

I REALLY NEED TO PASS THIS! PLEASE EXPLAIN UR ANSWER, THANK YOU!

IgorLugansk [536]

Answer:

Step-by-step explanation:bjgnjfvnifcb

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2 years ago

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Which of the following is the graph of <br> PLEASE ANSWER FAST IM TIMED

soldier1979 [14.2K]

Y=-sqrt(x)+1
x must be greater than or equal to zero (positive): x>=0
Options Graphs 1 and 2
when x=0→y=-sqrt(0)+1=-0+1→y=1, then the graph must pass through the point (0,1)

Answer: Graph 2

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2 years ago

Convert,the complex number into polar form: 4+4i

kow [346]

Z = a + bi
z = 4 + 4i

r² = a² + b²
r² = (4)² + (4)²
r² = 16 + 16
r² = 32
r = 4√(2)
r = 4(1.414)
r = 5.656

$cos\theta = \frac{a}{r}$
$cos\theta = \frac{4}{4\sqrt{2}}$
$cos\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}$
$cos\theta = \frac{4\sqrt{2}}{4\sqrt{4}}$
$cos\theta = \frac{4\sqrt{2}}{4(2)}$
$cos\theta = \frac{4\sqrt{2}}{8}$
$cos\theta = \frac{\sqrt{2}}{2}$
$2(cos\theta) = 2(\frac{\sqrt{2}}{2})$
$2cos\theta = \sqrt{2}$
$2cos\theta = 1.414$

$sin\theta = \frac{b}{r}$
$sin\theta = \frac{4}{4\sqrt{2}}$
$sin\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}$
$sin\theta = \frac{4\sqrt{2}}{4\sqrt{4}}$
$sin\theta = \frac{4\sqrt{2}}{4(2)}$
$sin\theta = \frac{4\sqrt{2}}{8}$
$sin\theta = \frac{\sqrt{2}}{2}$
$2(sin\theta) = 2(\frac{\sqrt{2}}{2})$
$2sin\theta = \sqrt{2}$
$2sin\theta = 1.414$

z = a + bi
z = rcosθ + (rsinθ)i
z = r(cosθ + i sinθ)

z = 4 + 4i
z = 5.656cosθ + (5.656sinθ)i
z = 5.656(cosθ + i sinθ)
z = 5.656(cos45 + i sin45)

$\theta = tan^{-1}\frac{b}{a}$
$\theta = tan^{-1}\frac{4}{4}$
$\theta = tan^{-1}(1)$
$\theta = 45$

The polar form of 4 + 4i is approximately equal to 5.656(cos45 + i sin45).

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2 years ago

If f (x) = -12x + 34 What is the value of f (-2)?

kobusy [5.1K]

Answer:

$f(-2)=58$

Step-by-step explanation:

$f(x)=-12x+34$

$f(-2)=-12(-2)+34$

$f(-2)=24+34$

$f(-2)=58$

7 0

1 year ago