Perform the indicated operations. Write the resulting polynomial in standard form.(x - 7)(x2 + 7x + 49)
A. x2 + 49x - 343
B. x2 - 343
C. x3 - 343
D. x3 - 7x - 343
Answer: C
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Provide an appropriate response.Derive the equations x = x0 + 
(1 - e-kt)cos ?, y = y0 + 
(1 - e-kt)sin ? + 
(1 - kt - e-kt)by solving the following initial value problem for a vector r in the plane. Differential equation: 
= -gj - kv = -gj - k
Initial
conditions: r(0) = x0i + y0j 
(0) = v0 = (v0cos ?)i + (v0sin ?)jThe drag coefficient k is a positive constant representing resistance due to air density, v0 and ? are the projectile's initial speed and launch angle, and g is the acceleration of gravity.
What will be an ideal response?
Solve the problem.An ice cream cone with a 3-centimeter diameter and 5-centimeter depth is filled exactly level with the top of the cone. Approximate how much ice cream (in cubic centimeters) is in the cone. Use 3.14 for ?. Round results to the nearest hundredth if necessary.
A. 11.78 cu. cm B. 35.33 cu. cm C. 15.7 cu. cm D. 47.1 cu. cm
Solve the problem by using addition, subtraction, multiplication, or division as needed.Raisa's car used 12 gallons of gasoline when she drove it 216 miles. How many miles per gallon did it get?
A. 12 miles per gallon B. 204 miles per gallon C. 18 miles per gallon D. 22 miles per gallon
Solve the inequality.-4(1.2)x + 9 ? 5
A. x ? 1
B. x ? 0
C. x ? 0
D. x ? 