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3 years ago

Anyone for 10 points??!!! The question is in the image Thanks But answer ASAP!

Mathematics

1 answer:

ivanzaharov [21]3 years ago

8 0

Bottom Side Surface Area:

(24 inches + 24 inches + 24 inches) * (30 inches)

= 72 inches * 30 inches

= 2160 inches squared

--------

Top Side Surface Area:

24 inches * 30 inches

= 720 inches squared

--------

Length of the diagonal (D) which needs to be measured:

*Use Pythaogras's theorem...

24^2 + 10^2 = D^2

D=√(24^2+10^2)

D=26 inches

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

Measure the surface area of the two ramps:

26 inches * 30 inches * 2

= 1560 inches squared

-----------

Total surface area:

2160 inches squared + 720 inches squared + 1560 inches squared

= 4440 inches squared

---------

Answer:

4440 square inches

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The population of a certain town was 10,000 in 1990. The rate of change of the population, measured in people per year, is model

Katena32 [7]

The question is incomplete. The complete question is :

The population of a certain town was 10,000 in 1990. The rate of change of a population, measured in hundreds of people per year, is modeled by P prime of t equals two-hundred times e to the 0.02t power, where t is measured in years since 1990. Discuss the meaning of the integral from zero to twenty of P prime of t, d t. Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020? If so, what is the population in 2020?

Solution :

According to the question,

The rate of change of population is given as :

$\frac{dP(t)}{dt}=200e^{0.02t}$ in 1990.

Now integrating,

$\int_0^{20}\frac{dP(t)}{dt}dt=\int_0^{20}200e^{0.02t} \ dt$

$=\frac{200}{0.02}\left[e^{0.02(20)}-1\right]$

$=10,000[e^{0.4}-1]$

$=10,000[0.49]$

=4900

$\frac{dP(t)}{dt}=200e^{0.02t}$

$\int1.dP(t)=200e^{0.02t}dt$

$P=\frac{200}{0.02}e^{0.02t}$

$P=10,000e^{0.02t}$

$P=P_0e^{kt}$

This is initial population.

k is change in population.

So in 1995,

$P=P_0e^{kt}$

$=10,000e^{0.02(5)}$

$=11051$

In 2000,

$P=10,000e^{0.02(10)}$

$=12,214$

Therefore, the change in the population between 1995 and 2000 = 1,163.

8 0

2 years ago

PLEASE HELP AND FAST

aksik [14]

Answer:

I think it's A because.

Step-by-step explanation:

A trendline is a line drawn over pivot highs or under pivot lows to show the prevailing direction of price. Trendlines are a visual representation of support and resistance in any time frame. They show direction and speed of price, and also describe patterns during periods of price contraction.

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2 years ago

1.50μm2. Convert this to square meters.

marishachu [46]

<span>As we know that 1 µm = 10^-6 m On squaring both sides 1 µm2 = 10^-6 x10^-6 m2 1 µm2 = 10^-12 m2</span>

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3 years ago

Help me please !!!!!!!!

777dan777 [17]

y=5/3x

this is because f(x)=x is one of (identity function) the 12 basic functions and when you multiply it it will shift it on the y axis

If you were to do y=x+5/3 it would make a horizontal shift to the left 5/3