Collect like terms.
y - y + 5y
A. y
B. y
C. - y
D. - y
Answer: A
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Solve the problem.A model that describes the free fall of an object in a gravitational field subject to air resistance uses the equation where v(t) is the velocity of the object, for
is the acceleration due to gravity, and
is a constant that involve the mass of the object and the air resistance. Let
src="https://sciemce.com/media/4/ppg__wesa0610191635__f1q76g5.jpg" alt="" style="vertical-align: -4.0px;" /> For what initial values are solutions increasing? decreasing? What is the equilibrium solution?
A. increasing for A < 19.6 and decreasing for A > 19.6; v(t) = 19.6
B. increasing for A > 19.6 and decreasing for A < 19.6; v(t) = 0
C. increasing for A < 19.6 and decreasing for A > 19.6; v(t) = 0
D. increasing for A > 19.6 and decreasing for A < 19.6; v(t) = 19.6
A lizard is growing toward a maximum length of 7 inches. The table below shows the difference between the maximum length and the length L, in inches, at age t years.
t 1 2 3 4 D 4.60 4.23 3.89 3.58? A: Find an exponential model for the data. Round your answer to two decimal places, if necessery.B: Find a formula that gives the length L after t years. Round your answer to two decimal places, if necessery.C: Make a graph of L versus t over the first 15 years. Include the horizontal line representing the maximum length.D: According to the model, how long was the lizard at birth? Round your answer to two decimal places. What will be an ideal response?
Determine whether the statement is an expression or an equation.9(8 + 7) = 117 + 2(9)
A. Expression B. Equation
Use the order of operations to evaluate each problem.10 + 4 ÷ 2 ? 4 - 9
A. 19 B. 47 C. 27 D. 9