Use the power rules for exponents to simplify. Write the answer in exponential form.
7
A. 107r7t
B. 107r7t7
C. 10r7t7
D. 107rt7
Answer: B
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Evaluate and simplify completely. Write your answer as a mixed number if possible. ÷ 4
A.
B.
C. 33
D.
Provide an appropriate response.Find the area and the perimeter of the given figure. Use the formulas A = s2 and P = 4s.
A. 24 cm2; 36 cm B. 36 cm; 24 cm2 C. 24 cm; 36 cm2 D. 36 cm2; 24 cm
Find the area enclosed by the given curves.Find the area of the region in the first quadrant bounded on the left by the line y = and on the right by the curves y = tan 2 x and y = cot 2 x. (Round to four decimal places.)
A.
0.5858 |
B. 0.4126
C. 4.3094
D. 0.3094
Solve the problem.A satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the surface of the dish and are reflected to the focus, where the receiver is located. The satellite dish shown has a diameter of 4 feet and a depth of 6 feet. The parabola is positioned in a rectangular coordinate system with its vertex at the origin. The receiver should be placed at the focus The value of p is given by the equation
How far from the base of the dish should the receiver be placed? [Hint: First write an equation in the form of
src="https://sciemce.com/media/4/ppg__10618191633__f1q108g3.jpg" alt="" style="vertical-align: -4.0px;" /> for the parabola used to shape the dish.]
A. 1 feet from the base
B. feet from the base
C. 6 feet from the base
D. feet from the base