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o-na [289]
3 years ago
7

The population of a city (in millions) at time t (in years) is P(t)=2.6 e 0.005t , where t=0 is the year 2000. When will the pop

ulation double from its size at t=0 ?
Mathematics
1 answer:
lora16 [44]3 years ago
7 0

Answer:

  year 2139

Step-by-step explanation:

The population will double when the factor e^(.005t) is 2.

  e^(.005t) = 2

  .005t = ln(2)

  t = ln(2)/0.005 = 138.6

The population will be double its size at t=0 when t=138.6. That is the population will be about 5.2 million in the year 2139.

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Convert the equation r = 12 sin theta to Cartesian coordinates. Describe the resulting curve.
VLD [36.1K]

Answer:

Step-by-step explanation:

Given that there is a polar equation as

r=12 sin \theta

This has to be converted into cartesian.

We know the conversion is

r^2 =x^2+y^2 \\tan \theta = \frac{y}{x}

Using this we can say that

sin^2 \theta = 1-cos^2 \theta \\= 1-\frac{1}{sec^2 \theta} \\=1-\frac{1}{1+tan^2 \theta} \\=1-\frac{1}{1+\frac{y^2}{x^2} } \\=1-\frac{x^2}{x^2+y^2} \\=\frac{y^2}{y^2+y^2}

\sqrt{x^2+y^2} =12(\frac{y}{\sqrt{x^2+y^2} } \\x^2+y^2 =12y\\x^2+y^2-12y+36 = 36\\x^2+(y-6)^2 = 6^2}

Circle with centre (0,6) and radius 6.

7 0
3 years ago
How do you solve <br>x-3/(x-4) + 4= 3x/3
muminat
<span>x - 3/(x - 4) + 4 = 3 × x/3
</span>
<span><span>x^2−19/</span><span>x−4</span></span>=x
<span>Step 1: Multiply both sides by x-4.

</span><span><span><span>x^2</span>−19</span>=<span><span>x^2</span>−<span>4x

</span></span></span><span><span><span><span>x^2</span>−19</span>−<span>x^2</span></span>=<span><span><span>x^2</span>−<span>4x</span></span>−<span>x^2</span></span></span><span>(Subtract x^2 from both sides)

</span><span><span>−19</span>=<span>−<span>4x</span></span></span>
<span><span>−<span>4x</span></span>=<span>−19</span></span><span>(Flip the equation)

</span><span><span><span>−<span>4x</span></span><span>/−4</span></span>=<span><span>−19</span><span>/−4  </span></span></span>(Divide both sides by -4)<span>Answer.
x=<span>19/4
</span></span><span>Check answers. (Plug them in to make sure they work.)</span>













8 0
3 years ago
Can anyone help me on this I would appreciate it
kaheart [24]

Answer:

14

Step-by-step explanation:

Triangle=180

180-90 (RA) = 90

90-41= 39

(2x+11)=39

2x=28

x=14

3 0
2 years ago
Read 2 more answers
Answer please i will give brainliest
il63 [147K]

Step-by-step explanation:

a.

simply add both equations

x + y = 2

-3x - y = 5

----------------

-2x + 0 = 7

x = -7/2

x + y = 2

-7/2 + y = 2

y = 2 + 7/2 = 4/2 + 7/2 = 11/2

b.

1/2 x + 2y = -13

x - 4y = 8

first multiply the first equating by 2

x + 4y = -26

x - 4y = 8

--------------------

2x + 0 = -18

x = -18/2 = -9

x - 4y = 8

-9 - 4y = 8

-4y = 17

y = -17/4

7 0
3 years ago
(02.06 LC)
marta [7]
Correct answer is B


25 characters
3 0
3 years ago
Read 2 more answers
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