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Polynomial and Polynomial Functions, math homework help
A projectile is fired
upward from the ground with an initial velocity of 300 feet per second.
Neglecting air resistance, ...
Polynomial and Polynomial Functions, math homework help
A projectile is fired
upward from the ground with an initial velocity of 300 feet per second.
Neglecting air resistance, the height of the projectile at any time t can be
described by the polynomial function P(t) = 16t² + 300t
a. Find the height of
the projectile when t = 1 second.
b. Find the height of the projectile when t = 5 seconds.
c. How long will it
be until the object hits the ground?2. A board has length
(3x⁴
+ 6x² 18) meters and width of 2x + 1 meters. The board is cut into three pieces of the
same length.
a. Find the length of each piece.
b. Find the area of
each piece.
c. Find the area of the board before it is cut.
d. How is the area of each piece of the board related to the
area of the board before it is cut?3. A cubic equation
has zeros at -2, 1, and 3.
a. Write an equation for a polynomial function that meets
the given conditions.
b. Draw the graph of a polynomial function that meets the
given conditions.
4. Alice was having a conversation with her friend Trina,
who had a discovery to share:
Pick any two integers. Look at the sum of their squares, the difference
of their squares, and twice the product of the two integers you chose. Those
three numbers are the sides of a right triangle.
a. Write an equation that models this conjecture using the
variables x and y.
b. Investigate this conjecture for at least three pairs of
integers. Does her trick appear to work in all cases, or only in some cases?
Explain.
c. Use Trina’s trick to find an example of a right triangle
in which all of the sides have integer length, all three sides are longer than
100 units, and the three side lengths do not have common factors.
If Trina’s conjecture
is true, use the equation found in part a to prove the conjecture. If it is not
true, modify it so it is a true statement, and prove the new statement.
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What factors should the assistant chief consider in determining the presence of gender bias in firefighter promotion?, statistics assignment help
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Most Popular Content
9 pages
Regressionhw
Instructions: You must show all work and/or provide a full explanation for the following problems. You should use R or oth ...
Regressionhw
Instructions: You must show all work and/or provide a full explanation for the following problems. You should use R or other software for plots.
Polynomial and Polynomial Functions, math homework help
A projectile is fired
upward from the ground with an initial velocity of 300 feet per second.
Neglecting air resistance, ...
Polynomial and Polynomial Functions, math homework help
A projectile is fired
upward from the ground with an initial velocity of 300 feet per second.
Neglecting air resistance, the height of the projectile at any time t can be
described by the polynomial function P(t) = 16t² + 300t
a. Find the height of
the projectile when t = 1 second.
b. Find the height of the projectile when t = 5 seconds.
c. How long will it
be until the object hits the ground?2. A board has length
(3x⁴
+ 6x² 18) meters and width of 2x + 1 meters. The board is cut into three pieces of the
same length.
a. Find the length of each piece.
b. Find the area of
each piece.
c. Find the area of the board before it is cut.
d. How is the area of each piece of the board related to the
area of the board before it is cut?3. A cubic equation
has zeros at -2, 1, and 3.
a. Write an equation for a polynomial function that meets
the given conditions.
b. Draw the graph of a polynomial function that meets the
given conditions.
4. Alice was having a conversation with her friend Trina,
who had a discovery to share:
Pick any two integers. Look at the sum of their squares, the difference
of their squares, and twice the product of the two integers you chose. Those
three numbers are the sides of a right triangle.
a. Write an equation that models this conjecture using the
variables x and y.
b. Investigate this conjecture for at least three pairs of
integers. Does her trick appear to work in all cases, or only in some cases?
Explain.
c. Use Trina’s trick to find an example of a right triangle
in which all of the sides have integer length, all three sides are longer than
100 units, and the three side lengths do not have common factors.
If Trina’s conjecture
is true, use the equation found in part a to prove the conjecture. If it is not
true, modify it so it is a true statement, and prove the new statement.
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An increase in the cost of production has led to reduced profits by ABCtronic. The high cost of R&D has led to the company ...
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An increase in the cost of production has led to reduced profits by ABCtronic. The high cost of R&D has led to the company needing more capital to ...
What factors should the assistant chief consider in determining the presence of gender bias in firefighter promotion?, statistics assignment help
You volunteer some of your spare time to your local fire department and have been asked by an assistant chief to analyze d ...
What factors should the assistant chief consider in determining the presence of gender bias in firefighter promotion?, statistics assignment help
You volunteer some of your spare time to your local fire department and have been asked by an assistant chief to analyze data on firefighters who applied for promotion. The assistant chief wants to ensure that gender bias is not a concern in the promotion of firefighters. Shown below is data for 50 firefighters who applied for promotion and the results of a chi-square analysis of the data.MaleFemalePromoted1322Not Promoted105Chi-Square Statistic3.6845P value0.054919What factors should the assistant chief consider in determining the presence of gender bias in firefighter promotion?Is the promotional status of recently promoted firefighters independent of their gender?What reasons should the assistant chief convey to the fire chief to justify the absence of gender bias in the most recent class of firefighters who were promoted?How might the presence of gender bias in promotions impact the fire department?
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