The equation of motion of object in a straight line is defined by s = - 16t2 + 64t where s is in meters and t in seconds. After 1 second, determine the velocity and acceleration of the object

Q: Solve for y and write an equation for a line perpendicular to y=−5x−3 and passing through the point…

A: The line perpendicular to the line y=-5x-3 and passing through the point 15,4

Q: A landscaping company charges $42 per cubic yard of mulch plus a delivery charge of $20. Find a…

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Q: Find the point of the line -2x+5y-2=0 which is closest to the point (-4,0).  The answer is?

A: To find the point of the line -2x+5y-2=0 which is closest to the point -4,0

Q: At the basketball game, the Tigers scored twice as many points as the Sharks. Which equation best…

A: To determine the equation that best describe the relation between x and y.

Q: The path of a foot ball can be modelled by the equation h = -0.0625d(d – 56), where h represents the…

A: Topic = Quadratic equations

Q: Find the equation of the straight line passing through (2,3) and perpendicular to the line 3x + 2y +…

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Q: Find the slope of the curve y = 2+ 3x? – 4x³ at the point where x = a.

A: slope of curve at x= a is f'(a)

Q: Find the equation of the straight line perpendicular to the line 5x-2y=7 and passing through point…

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Q: Chee Woo earned $91 for 7 hours of work. Write an equation in the form of y = kx to show the…

A: Given that: Earned pay =$91 Worked hours = 7 Write an equation in the form of y = kx to show the…

Q: Find an equation for the line perpendicular to 4x + 28y = 84 and goes through the point (– 10, 8).…

A: 4x+28y=8428y=84-4xy=-4x28+8428y=-17x+3slope of the above line is -17Then slope of its perpendicular…

Q: solve (D2+5D+6)y=ex

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Q: Find an equation of variation where y varies jointly as x and the square of z, and where y = 105…

A: y varies jointly as x and the square of z, and where y=105 when x=55 and z=7

Q: The number x of printer cartridges that a store will sell per week and their price p (in dollars)…

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Q: Find an equation for the line which passes through the origin and is perpendicular to  2x + 3y = -2

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Q: . A missile is launched along the path determined by the equation f(x) =-4x² +72x, where f(x) is e…

A: We find function maximum value.

Q: The position of a particle is given by the equation $ (t) = 4 t3 - 2t2 + t - 1 where s is in feet…

A: The position of the particle is given by st=4t3-2t2+t-1.

Q: The annual fixed costs for owning a small sedan are $1289, assuming the car is completely paid…

A: Let Cx be the total cost function and the number x of miles driven annually. The annual fixed cost…

Q: Write an equation of the line that is perpendicular to the l I'm be 3y-4x=9 and passes through the…

A: Given: 3y-4x=9  and point -2,1

Q: Solve (D2+5D+6)y=ex

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Q: A particle moves along a straight line and its position is given bys (t) = t - 6t2 + 9 t + 5 At what…

A: We will find out the required time.

Q: Find the equation of a straight line perpendicular to the line 5x-3y+1=0 and passing throught the…

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Q: Q2) Find the equation for the line that passes through the point (1,0) and parallel to the line 2x +…

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Q: Solve the equation y" +y= 5(t – 2 T), y(0) = 0, y'(0) = 1

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Q: The annual fixed costs of owning a small sedan are ​$4445​, assuming the car is completely paid for.…

A: Given: The annual fixed costs of owning a small sedan are ​$4445​, assuming the car is completely…

Q: Find the equation of the straight line through C(2,0) parallel to the line CD whose equation…

A: • Parallel lines have equal slopes. So, we can use this fact to find the equation of required line…

Q: Find the general equation of the straight line that intercepts the x-axis at 2 and the y-axis at -6.

A: on solving this we get

Q: Find the slope-intercept form of the equation of the line that is perpendicular to 4y-2x+7=0 and…

A: Find slope of 4y-2x+7=0 by comparing with y=mx+b

Q: Find

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Q: A truck rental company rents a moving truckfor one day by charging $39 plus $0.60 per mile. Writea…

A: Let us consider Vx is the variable cost and x is the number of miles driven. Now, A truck rental…

Q: Find the equation of the line perpendicular to 3x + 5y = 3 passing through the point (5, 2). y =

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Q: Barry is planning to raise some money for his senior dues. He will sell sports drinks, a, for $1.65…

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Q: Find an equation for the line perpendicular to 4x+20y=40 and goes through the point (7,4). Write…

A: Let's find equation of line.

Q: modeled by the equation f(x) = -0.00092 4 0 2088x in the direction of the hole, and landed 1o yards…

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Q: In the equation x2 + 4x - y + 4 = 0, find the coordinate of the point where the abscissa and the…

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Q: Solve for the distance and midpoint from the given equation. a. {(x,y)|y=2x-5, x=-3 and 4} b.…

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Q: Find an equation for the line parallel to 2y+10x=6 and goes through the point (-9,7). Write your…

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Q: As x increases in value, does y increase or decrease? For the equation 4x+5y=2

A: The equation is 4x+5y=2 can be written as follows.

Q: Find an equation for the linear function which has y-intercept -4 and x-intercept 7.

A: The x-intercepts are where the graph crosses the x-axis or y coordinate is zero and at the y…

Q: object moves along the x axis according to the equation  x = 2.55t2 − 2.00t + 3.00,  where x is in…

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Q: Find an equation for the line parallel to 3y+15x=27 and goes through the point (7,2). Write your…

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Q: Lisa is assembling fruit baskets for a large corporate order. She starts with 66 pears and will put…

A: 66 pears in starting  put 5 pears in each basket.  x = no. of fruit baskets assembeled. y = pears…

Q: The equation for FG is y = 2x + 1. Which equation represents a line that is perpendicular to FG and…

A: Equation of line FG =2x+1 so the slope of FG is m=2

Q: Q2/ A/ Find the equation of straight line passing through the point (1, 2) and parallel to the line…

A: Topic: equation of line

Q: Find the equation of a line that intersects the curve y = x² + 14x + 52 at x = -10 and is parallel…

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Q: The depreciation of a piece of technological equipment can be shown graphically by a straight line.…

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Q: Find an equation for the line perpendicular to 2x+4y=28 and goes through the point (-2,3). Write…

A: topic- equation of line perpendicular to given line

Q: A truck rental company rents a moving truck one day by charging $31 plus $0.09 per mile. Write a…

A: Let x be the number of miles driven. The cost C, in dollars , of renting the truck is sum of fixed…

Q: Find an equation of the line perpendicular to 3y = x – 3 that passes through the point (8, –7).…

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Q: Write an equation for a line perpendicular to f (1) = 5x – 1 passing through the point (5, 20). %3D…

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Q: A transportation company buys a van. After y months of use, the value y of the van (measured in…

A: Given, y= 25000-400x where, y is the months of the use= 5 years= 5*12= 60 months