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OG12 OG15	Is $${5}^{k}$$ less than 1,000 ?(1)$${5}^{k+1} >3,000$$(2)$${5}^{k-1}={5}^{k}-500$$
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	During a trip, Francine traveled x percent of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of 60 miles per hour. In terms of x, what was Francine`s average speed for the entire trip?
OG12 OG15 OG16	Every member of a certain club volunteers to contribute equally to the purchase of a $60 gift certificate. How many members does the club have?(1)Each member's contribution is to be $4.(2)If 5 club members fail to contribute, the share of each contributing member will increase by $2.
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If $${n}={33}^{43}+{43}^{33}$$, what is the units digit of n?
OG12 OG15 OG16	if x=-1,then $$\frac{x^4-x^3+x^2}{x-1}$$
OG12 OG15 OG16	If $$x < 0$$, is $$y > 0$$ ?(1)$$\frac{x}{y}<{0}$$(2)$$y-x >0$$
OG12 OG15	What is the circumference of the circle above with center 0 ?(1)The perimeter of $$\Delta OXZ$$ is $$20+10\sqrt 2$$(2)The length of arc $$XYZ$$ is $$5\pi$$.
OG12 OG15	The shaded portion of the rectangular lot shown above represents a flower bed. If the area of the bed is 24 square yards and x = y + 2, then z equals
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	A border of uniform width is placed around a rectangular photograph that measures 8 inches by 10 inches. If the area of the border is 144 square inches, what is the width of the border, in inches?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	What is the value of x + y in the figure above?(1)W=95(2)Z=125
OG12 OG15	Jack is now 14 years older than Bill. If in 10 years Jack will be twice as old as Bill, how old will Jack be in 5 years?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If n and k are positive integers, is $$\sqrt{n+k} >2\sqrt{n}$$?(1)$$k > 3n$$(2)$$n + k > 3n$$
OG12 OG15 OG16	An empty pool being filled with water at a constant rate takes 8 hours to fill to $$\frac{3}{5}$$ of its capacity. How much more time will it take to finish filling the pool?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	In a certain business, production index p is directly proportional to efficiency index e, which is in turn directly proportional to investment index i. What is p if i = 70 ?(1)e = 0.5 whenever i = 60.(2)p = 2.0 whenever i = 50.
OG12 OG15 OG16	If n is a positive integer, is$${(\frac{1}{10})}^{n}<0.01$$(1)$$n >2$$(2)$$(\frac{1}{10})^{n-1}<0.1$$
OG12 OG15 OG16	A positive number x is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If $${d}=\frac{1}{{2}^{3}\times{5}^{7}}$$ is expressed as a terminating decimal, how many nonzero digits will d have?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If n is a positive integer, what is the tens digit of n ?(1)The hundreds digit of 10n is 6.(2)The tens digit of n + 1 is 7.
OG12 OG15	A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 2,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	What is the value of $$\frac{(2t+t-x)}{(t-x)}$$(1)$$\frac{2t}{t-x}=3$$(2)t-x=5