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3 years ago

14

The population of a city has increased by 35% since it was last measured. If the current population is 86,400, what was the prev

ious population?

1 answer:

Vsevolod [243]3 years ago

6 0

Answer:

Step-by-step explanation:

86,400*.35=30240

86400-30240=56160

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Calculus 3 chapter 16

o-na [289]

Evaluate $\vec F$ at $\vec r$ :

$\vec F(x,y,z) = x\,\vec\imath + y\,\vec\jmath + xy\,\vec k \\\\ \implies \vec F(\vec r(t)) = \vec F(\cos(t), \sin(t), t) = \cos(t)\,\vec\imath + \sin(t)\,\vec\jmath + \sin(t)\cos(t)\,\vec k$

Compute the line element $d\vec r$ :

$d\vec r = \dfrac{d\vec r}{dt} dt = \left(-\sin(t)\,\vec\imath+\cos(t)\,\vec\jmath+\vec k\bigg) \, dt$

Simplifying the integrand, we have

$\vec F\cdot d\vec r = \bigg(-\cos(t)\sin(t) + \sin(t)\cos(t) + \sin(t)\cos(t)\bigg) \, dt \\ ~~~~~~~~= \sin(t)\cos(t) \, dt \\\\ ~~~~~~~~= \dfrac12 \sin(2t) \, dt$

Then the line integral evaluates to

$\displaystyle \int_C \vec F\cdot d\vec r = \int_0^\pi \frac12\sin(2t)\,dt \\\\ ~~~~~~~~ = -\frac14\cos(2t) \bigg|_{t=0}^{t=\pi} \\\\ ~~~~~~~~ = -\frac14(\cos(2\pi)-\cos(0)) = \boxed{0}$

3 0

2 years ago

If f(x) = 2x - 1 and g(x)=x²-3x-2, find (f+ g)(x).

Ira Lisetskai [31]

$\text{Given that,}~ f(x) = 2x -1~ \text{and}~ g(x) = x^2- 3x -2 \\\\\text{Now,}\\\\~~~(f+g)(x)\\\\=f(x) + g(x)\\\\=2x-1 +x^2 -3x -2\\\\=x^2 -x -3$

4 0

2 years ago

Read 2 more answers

Container A can hold 9 cups of liquid. container B can hold 5 pints of liquid. Container c can hold 2 quarts of liquid. Whice co

nata0808 [166]

Hello!

1 cup = 0.5 pints

1 cup = 0.25 quarts

That means that 9 cups are equivalent to 4.5 pints and 2.25 quarts of liquid.

1 pint = 2 cups

1 pint = 0.5 quarts

That means that 5 pints are equivalent to 10 cups and 2.5 quarts of liquid.

1 quart = 4 cups

1 quart = 2 pints

That means that 2 quarts are equivalent to 8 cups and 4 pints of liquid.

FINAL ANSWER:

Judging by our calculations, Container B has the greatest capacity.

8 0

4 years ago

Help please!!!! LOLLL

ahrayia [7]

Answer:u

Step-by-step explanation:

4 0

4 years ago

Sam rotated parallelogram ABCD 270 counter clockwise around the origin if angle a is 120 and angle B 60 what is the degree measu

jarptica [38.1K]

Given that ABCD is a parallelogram.

where angle B is 60 degree.

Notice that only parallelogram is rotated. Rotation doesn't changes the name of angles. So angle B will remain at it's position.

Hence value of angle B will also not change.

So final answer for the value of angle B is 60 degree.

4 0

3 years ago