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Virty [35]
2 years ago
15

Please help me answer this question mathematicians

Mathematics
1 answer:
Damm [24]2 years ago
6 0

Answer:

  6.5e^(i·(-157.38°)) ≈ 6.5e^(-2.7468i)

Step-by-step explanation:

A suitable calculator can find the value of this ratio for you.

  ((2+3i)/(1-i))² = -6 -2.5i ≈ 6.5∠-157.38° ≈ 6.5e^(-2.7468i)

__

The second attachments shows the calculator set to radian mode for the angle measure.

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The model represents an equation. What value of x makes the equation true?
ch4aika [34]

Let's build the equation counting how many x's and 1's are there on each side.

On the left hand side we have 5x's and 8 1's, for a total of 5x+8

On the left hand side we have 3x's and 10 1's, for a total of 3x+10

So, the equation we want to solve is

5x+8 = 3x+10

Subtract 3x from both sides:

2x+8 = 10

Subtract 8 from both sides:

2x=2

Divide both sides by 2:

x=1

8 0
3 years ago
sam makes some bread rolls. He gives 2/5 of the bread rolls to his neighbor and 4/9 of the remainder to his cousin. He has fifte
FinnZ [79.3K]
 <span>Neighbor: 2/5(x) </span>
<span>Remainder = x - 2/5(x) = 3/5(x) </span>
<span>Cousin = 4/9 * 3/5(x) = 4/15(x) </span>

<span>x - 2/5(x) - 4/15(x) = 15 </span>
<span>x - 6/15(x) - 4/15(x) = 15 </span>
<span>x - 10/15(x) = 15 </span>
<span>(15x - 10x) = 225 </span>
<span>5x = 225 </span>
<span>x = 225/5 = 45 </span>

<span>Therefore, he made 45 rolls</span>
8 0
3 years ago
A vertical cylinder is leaking water at a rate of 4m3/sec. If the cylinder has a height of 10m and a radius of 2m, at what rate
Lyrx [107]

Answer:

Therefore the rate change of height is  \frac{1}{\pi} m/s.

Step-by-step explanation:

Given that a vertical cylinder is leaking water at rate of 4 m³/s.

It means the rate change of volume is 4 m³/s.

\frac{dV}{dt}=4 \ m^3/s

The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.

The height of the cylinder be h(say).

The volume of a cylinder is V=\pi r^2 h

                                                 =( \pi \times 2^2\times h)\ m^3

\therefore V= 4\pi h

Differentiating with respect to t.

\frac{dV}{dt}=4\pi \frac{dh}{dt}

Putting the value \frac{dV}{dt}

\Rightarrow 4\pi \frac{dh}{dt}=4

\Rightarrow \frac{dh}{dt}=\frac{4}{4\pi}

\Rightarrow \frac{dh}{dt}=\frac{1}{\pi}

The rate change of height does not depend on the height.

Therefore the rate change of height is  \frac{1}{\pi} m/s.

3 0
3 years ago
A salad recipe that serves 10 people requires 1 1/2 cups of celery. To serve 5 people, the amount of celery required is
Annette [7]
Well this is a one step equation, just take 1.5 cups of salad and divide it buy 2 because you are only serving half of the people.

1.5 / 2 = .75 cups of celery
8 0
3 years ago
Which expression is equivalent to <img src="https://tex.z-dn.net/?f=%5Csqrt%7B100%7D" id="TexFormula1" title="\sqrt{100}" alt="\
Simora [160]

\huge\boxed{10}

\sqrt{100} means that you are looking for the number that, when multiplied by itself, produces 100. That number is 10, because 10\cdot10=100, meaning that \sqrt{100}=10.

7 0
2 years ago
Read 2 more answers
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