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3 years ago

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The reputation of a city has been decreasing exponentially since 1990. In 1990, the population was 1,000,000. In 2010, the popul

ation was 560,000. If t represents time in years since 1990, which of the following equations
best models the decay of the population?

1 answer:

ad-work [718]3 years ago

8 0

Answer:

i think you have to soleve that srry

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Select the best answer 2- ( -8)+( -3 )=

r-ruslan [8.4K]

Answer:

it equals 7

Step-by-step explanation:

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3 years ago

1. Alicia had $-11 in her checking account. She did a few chores and made $44.50. She

Masteriza [31]

Answer:

The answer is 21

Step-by-step explanation:

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3 years ago

The curves r1(t) = 2t, t2, t4 and r2(t) = sin t, sin 5t, 2t intersect at the origin. Find their angle of intersection, θ, correc

masya89 [10]

Answer:

Therefore the angle of intersection is $\theta =79.48^\circ$

Step-by-step explanation:

Angle at the intersection point of two carve is the angle of the tangents at that point.

Given,

$r_1(t)=(2t,t^2,t^4)$

and $r_2(t)=(sin t , sin5t, 2t)$

To find the tangent of a carve , we have to differentiate the carve.

$r'_1(t)=(2,2t,4t^3)$

The tangent at (0,0,0) is [ since the intersection point is (0,0,0)]

$r'_1(0)=(2,0,0)$ [ putting t= 0]

$|r'_1(0)|=\sqrt{2^2+0^2+0^2} =2$

Again,

$r'_2(t)=(cos t ,5 cos5t, 2)$

The tangent at (0,0,0) is

$r'_2(0)=(1 ,5, 2)$ [ putting t= 0]

$|r'_1(0)|=\sqrt{1^2+5^2+2^2} =\sqrt{30}$

If θ is angle between tangent, then

$cos \theta =\frac{r'_1(0).r'_2(0)}{|r'_1(0)|.|r'_2(0)|}$

$\Rightarrow cos \theta =\frac{(2,0,0).(1,5,2)}{2.\sqrt{30} }$

$\Rightarrow cos \theta =\frac{2}{2\sqrt{30} }$

$\Rightarrow cos \theta =\frac{1}{\sqrt{30} }$

$\Rightarrow \theta =cos^{-1}\frac{1}{\sqrt{30} }$

$\Rightarrow \theta =79.48^\circ$

Therefore the angle of intersection is $\theta =79.48^\circ$ .

8 0

3 years ago

pls help immediately! this is due in 3 mins :/. (pls don’t give a link, i’ll give brainiest for the correct answer just pls help

zavuch27 [327]

Answer:

50 i think but i'm not 100 % sure i'm sorry

Step-by-step explanation:

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3 years ago

30 POINTS!!<br><br> Which construction correctly shows how to bisect ∠X?

ira [324]

I'm not sure but I would go with c

4 0

3 years ago

Read 2 more answers