The position of a starship is given by the equation Pt = (18 + 3t, 24 + 4t, 110 − 5t). For what values of t is the starship within 100 units of a space station placed at the origin?

Q: e height of an object tossed upward with an initial velocity of 104 feet per second is given by the…

A: Explanation of the answer as follows:

Q: Find x. (4x + 10) 40°

A: Solve for the value of x

Q: eralvate s Ēodp where C is represientee ぐ F (Xっy)= yi 土 6+) = 28ti + tj

A: To evaluate: ∫CF.dr→F→x,y=xyi^+yj^rt=28ti^+tj^ ,     0≤t≤7

Q: After an oven is turned on, its temperature, T, is represented by the equation T = 400 –…

A: Let at time t' temperature reaches 300° F.

Q: rentel car company charges a base fee of $53.67 plus $0.75 per mile driven. If X represents the…

A:

Q: The equation a = 640 s gives the relationship between s square miles and a acres. Pam owns 7.5…

A: To find the value of the variable by the using a formulat (substitution)

Q: Solve for w. 38= -6w - 7w - 27

A:

Q: Solve the following equation by completing the square: O -2t 6 O 2t 6 O 128

A: Given, x2 +4x = 6  We have to solve the above equation by completing the square method.

Q: The distance to stop a certain vehicle varies directly with the square of its speed. It takes 320…

A: If a is directly proportional to b then a∝b If a is inversely proportional to b then a∝1b To convert…

Q: If a = [1, 2]  and  b = [2, 7], find a + 2b.

A:

Q: Solve for a 3a - 6 = 3

A: we have the equation3a-6=3add both side by 6 we get 3a-6+6=3+6solving the equation we get 3a=9

Q: A football is kicked vertically upward from a height of 7 feet with an initial speed of 65 feet per…

A: Initial speed=65 feet/second the​ ball's height above the​ ground t seconds after it was kicked is…