Answer:
I. x = -3
II. y = -2
Explanation:
Given the following algebraic equation;
.........equation 1
..........equation 2
We would solve the algebraic equation using the substitution method
From equation 1;
.....equation 3
Substituting eqn 3 into eqn 2, we have;
Multiplying all through by 5
Rearranging the equation, we have:
x = -3
Next we find the value of y;
From eqn 3;
Substituting the value of "x" into the equation, we have;
y = -2
Hi there!
a.
To find the total amount of people that have ENTERED by t = 20, we must take the integral of the appropriate function.
Evaluate using a calculator:
b.
To solve, we can find the total amount of people that have entered of the interval and subtract the total amount of people that have left from this value.
In other terms:
We can evaluate using a calculator (math-9 on T1-84):
c.
If:
Then:
Evaluate at t = 20:
This means that at t = 20, there is a <u>NET DECREASE</u> of people at the movie theater of around 20.823 (21) people per hour.
d.
To find the maximum, we must use the first-derivative test.
Set S(t) - R(t) equal to 0:
Graph the function with a graphing calculator and set the function equal to y = 0:
According to the graph, the graph of the first derivative changes from POSITIVE to NEGATIVE at t ≈ 17.78 hours, so there is a MAXIMUM at this value.
<u>Thus, at t = 17.78 hours, the amount of people at the movie theater is a MAXIMUM.</u>
Don’t see anything that I can help you
Following enlisted are the answers for the above mentioned question.
Explanation:
1. Population pyramids is graphical representation of data which enables oneself to distinguish and have a clear picture in minds about the ratio of population densities keeping any one parameter as constant. Population pyramids could be used to analyze data in many different scales on the basis of gender,age groups, race etc. Examples-having a record of no. of individuals in different age groups in India.
2. Generally, there are 3 types of population pyramid on the basis of shapes of the pyramid. Those are;
- Expansive
- Constrictive
- Stable
Siting an example of age-sex pyramids,
In case of the Expansive, population pyramids show that the populations that have a larger number of persons in young age groups. The shape obtained hence is usually with high fertility rates with lower death rates
Then comes, Constrictive population pyramids. These are named so since they are constricted at the bottom. They undue a low percent of young people as compared with other age groups. These type of pyramids show decreasing birth rates.
And at last, Stationary also called as stable population pyramids are the ones which depicts almost equal proportion of the population in each of the all age groups. There is not a decrease or increase in population; it is stable.
Our understanding of the universe has changed a lot over time!
Ptolemy
He improved on Aristotle's theory which was that the earth was the center of the universe also known as geocentric.
Nicolaus Copernicus
Copernicus had a theory that the sun was the center of our solar system. This is also known as heliocentric.
Tycho Brahe
His work supported the idea that the Earth orbited the sun.
Brahe hired Kepler, another astronomer to work with him.
How has our understanding of the universe changed over time?
Aristotle
Johannes Kepler
Galileo
Isaac Newton
Edmund Halley
Edwin Hubble
By Isamilla & Nelleke
The Hubble space telescope was named after Edwin Hubble.
He had three laws of motion.
He hypothosized that the nebulae were their own galaxies.
<span>He imagined the earth at the </span>
center of the universe with the sun, the moon, the stars and the planets orbiting it in perfect circles.
Newton put Kepler and Galileo's ideas together and discovered that the reason that things fall on the ground is the same reason that planets orbit around the sun.
He made a telescope that could magnify
up to 30 times.
<span>He discovered that Copernicus' theory </span>
was true. "We're not the center of the universe."
He found out that the planets orbit the
sun in ellipses (oval shapes).
He explained how the tides were made by the moon.
He figured out that the speed of the planets depend on the sun.
Halley discovered a comet. It was discovered in 1705. It will come around again in 2061
The comet Halley comes every 75 - 76 years
384–322 BCE
90 AD – 168 AD
1473 – 1543
1546 – 1601
1571 – 1630
1564 – 1642
1642 – 1727
1656 – 1742
1889 – 1953
Celestial Sphere
<span>It's an invisible sphere around the earth
</span>
