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3 years ago

Kevin weighs himself and discovers he weighs 78,900 grams. How many kilograms does Kevin weigh?

Mathematics

1 answer:

faltersainse [42]3 years ago

3 0

Answer:

He would weigh 78.9 kilograms. hope this helps.

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13. Show that 500 is not a prefect square

avanturin [10]

Answer:

when we take the square root of 500 we get number with decimal value so its not a perfect square

Step-by-step explanation:

x^2=500

x=square root of 500

3 0

3 years ago

The population of mosquitoes in a certain area increases at a rate proportional to the current pop-ulation, and in the absence o

ollegr [7]

Answer:

The population of mosquitoes in the area at any time t is:

$P(t)=201977.31-1977.31\times 2^{t}$

Step-by-step explanation:

The rate of growth of mosquitoes can be expressed as:

$\frac{dP}{dt}=kP$

$\frac{dP}{P}=k\ dt$

Integrate the above expression as follows:

$\int {\frac{dP}{P}} \, =\int {k\ dt} \, \\\ln|P|=kt+c\\e^{\ln|P|}=e^{kt+c}\\P=Ce^{kt}$

$\Rightarrow P=P_{0}e^{kt}$

It is provided that the population doubles every day.

Compute the value of k as follows:

$2=1\times e^{k\times1}\\2=e^{k}\\k=\ln (2)$

It is also provided that every day 20,000 mosquitoes are eaten.

The rate of growth per week can be expressed as:

$\frac{dP}{dt}=\ln(2)P-14000\\\frac{dP}{dt}-\ln(2)P=14000$

The integrating factor for this is:

$e^{\int {\ln(2)dP}}=e^{\ln(2)\int {dt}}=e^{\ln(2)t}$

Then,

$P(t)\ e^{-\ln(2)t}=\int {e^{-\ln(2)t}}-14000\, dt\\=-14000\int {e^{-\ln(2)t}}\, dt\\=-14000\times \frac{e^{-\ln(2)t}}{-\ln(2)}+C\\P(t)=(e^{-\ln(2)t})\times [-14000\times \frac{e^{-\ln(2)t}}{-\ln(2)}+C]\\=\frac{14000}{\ln(2)}+Ce^{-\ln(2)t}$

The initial population is 200,000.

Compute the value of C as follows:

$P(t)=\frac{140000}{\ln(2)}+Ce^{-\ln(2)t}\\200000=\frac{14000}{\ln(2)}+Ce^{-\ln(2)(0)}\\C=200000-\frac{140000}{\ln(2)}\\C=-1977.31$

Now substitute C in P (t),

$P(t)=\frac{140000}{\ln(2)}+Ce^{\ln(2)t}\\P(t)=201977.31-1977.31\times 2^{t}$

6 0

3 years ago

S(t)=16t^2+32t, how long will it take the ball to fall 79 feet?

Phantasy [73]

Mudando o sinal:
-16t² - 32t = 0
-16t*(t-2) = 0
16t = 0 --> t = 0
t-2 = 0 --> t = 2

5 0

3 years ago

In 2015, a company made 2.7×10^11 mailboxes. In 2019, the same company made 3.9×10^12 mailboxes. How many more mailboxes did the

dmitriy555 [2]

Answer:

3,630,000,000,000‬ more (3.93*10^12)

Step-by-step explanation:

2.7*10^11= 270,000,000,000

3.9*10^12= 3,900,000,000,000‬

3,900,000,000,000‬-270,000,000,000=3,630,000,000,000‬

3 0

3 years ago

A student's cost for last semester at her community college was $2600. She spent $286 of that on books. What percent did she spe

boyakko [2]

She spent 11% on books

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3 years ago

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