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3 years ago

14

the population of the city in north carolina is 403,892 what is 403,892 rounded to the nearest thousand

2 answers:

drek231 [11]3 years ago

7 0

404000 is always rounded to the nearest thousand because the thousand was the three and eight is a large number so you plus one to the three and makes it four hope you understand or maybe you dont cause i dont even understand my explanation

Thepotemich [5.8K]3 years ago

4 0

403, 892 rounded to the nearest thousand is 404,000.

The three is in the thousands place, and the 8 in the hundreds place tells us us to round up. The three becomes a 4 and everything behind it a 0. :)

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For z = 2cis 60°, find z4 in rectangular form.

a_sh-v [17]

By DeMoivre's theorem,

$z=2\mathrm{cis}60^\circ\implies z^4=2^4\mathrm{cis}(4\times60)^\circ=16\mathrm{cis}\,240^\circ$
$z^4=16(\cos240^\circ+i\sin240^\circ)$
$z^4=16\left(-\dfrac12-i\dfrac{\sqrt3}2\right)$
$z^4=-8-i8\sqrt3$

5 0

3 years ago

Read 2 more answers

If another line is perpendicular to the line shown on the graph, what must be its slope

Shtirlitz [24]

It's B

Slope is negative, the other must be positive due to m1 x m2 = - 1

m1 = -2/5

The diagram shows a gradient of -2/5. So, the

reciprocal of this valve to make - 1 is 5/2 (which is the - 2/5 flipped upside down, but positive)

-2/5 x 5/2 = - 10/10 (or - 1)

Thus, the perpendicular line to this has a gradient of 5/2.

Hope this helps!

4 0

1 year ago

Which is the equation of a hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0)? y squared over 40 minus x square

N76 [4]

The equation of the hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0) is $\frac{x^2}{10} + \frac{y^2}{15} = 1$

<h3>How to determine the equation of the hyperbola?</h3>

The given parameters are:

Directrices at x = ±2
Foci at (5, 0) and (−5, 0)

The foci of a hyperbola are represented as:

Foci = (k ± c, h)

The center is:

Center = (h,k)

And the directrix is:

Directrix, x = h ± a²/c

By comparison, we have:

k ± c = ±5

h = 0

h ± a²/c = ±2

Substitute h = 0 in h ± a²/c = ±2

0 ± a²/c = ±2

This gives

a²/c = 2

Multiply both sides by c

a² = 2c

k ± c = ±5 means that:

k ± c = 0 ± 5

By comparison, we have:

k = 0 and c = 5

Substitute c = 5 in a² = 2c

a² = 2 * 5

a² = 10

Next, we calculate b using:

b² = c² - a²

This gives

b² = 5² - 10

Evaluate

b² = 15

The hyperbola is represented as:

$\frac{(x - k)^2}{a^2} + \frac{(y - h)^2}{b^2} = 1$

So, we have:

$\frac{(x - 0)^2}{10} + \frac{(y - 0)^2}{15} = 1$

Evaluate

$\frac{x^2}{10} + \frac{y^2}{15} = 1$

Hence, the equation of the hyperbola is $\frac{x^2}{10} + \frac{y^2}{15} = 1$

Read more about hyperbola at:

brainly.com/question/3405939

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6 0

1 year ago

A wealthy entrepreneur has a fortune worth £2 500 000 000. What power of 10 should this number be to when written in scientific

Lubov Fominskaja [6]

Answer:

9.

Step-by-step explanation:

Count the number of digits after the first digit,

This is 9.

4 0

2 years ago

Carla is a waitress at Daybreak Diner and she earns $5 for each hour she works. Last week she earned 148 total including $68 tip

Zigmanuir [339]

Answer: 16 hours

Step-by-step explanation:

Given

Carla earns $\$5$ for each hour she works

Last week she earned $148 total including $\$68$ tip

So, the sum of hourly income and must be equal to the total money earned

Suppose she works for $x$ hours

$\Rightarrow 5x+68=148$

$\Rightarrow 5x=148-68\\\Rightarrow 5x=80\\\Rightarrow x=16\ \text{hours}$

Thus, she works 16 hours last week

5 0

2 years ago