Answer the question.The length of a rectangle is three inches more than the width. The area of the rectangle is 130 inches. If the width is x, what is the length in terms of x?
A. x - 3
B. 3x
C. 3 - x
D. x + 3
Answer: D
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Verify that the curve r(t) lies on the surface. Give the name of the surface.r(t) = (2t cos t)i + (2t sin t)j + 2t k; x2 + y2 = z2
A. 4t2cos2t + 4t2sin2t = 4t2; hyperboloid B. 4t2cos2t + 4t2sin2t = 4t2; ellipsoid C. 4t2cos2t + 4t2sin2t = 4t2; paraboloid D. 4t2cos2t + 4t2sin2t = 4t2; elliptic cone
Evaluate the expression, given x = -2, y = 3, and a = -4.7x + 2y - 9a
A. -4 B. 28 C. 53 D. -49
Solve the application by using a system of linear inequalities in two variables.The equation that represents the proper traffic control and emergency vehicle response availability in a small city is where P is the number of police cars on active duty and F is the number of fire trucks that have left the firehouse in response to a call. In order to comply with staffing limitations, the equation
is appropriate. The number of police cars on active duty and the number of fire trucks that have left the firehouse in response to a call cannot be negative, so
src="https://sciemce.com/media/4/ppg__10617191636__f1q34g3.jpg" alt="" style="vertical-align: -4.0px;" /> and Graph the regions satisfying all the availability and staffing requirements, using the horizontal axis for P and the vertical axis for F. If 2 police cars are on active duty and 6 fire trucks have left the firehouse in response to a call, are all of the requirements satisfied?
A. ; No
B. ; Yes
C. ; Yes
D. ; No
Write the percent as a decimal.0.75%
A. 0.0075 B. 0.075 C. 0.75 D. 0.0085