A police car is located 50 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 140 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 85 feet per second. How fast is the red car actually traveling along the road? The actual speed (along the road) of the red car is feet per second

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A: Out of the total 5 digits 1, 3, 4, 8 and 9 given, the even digits are 4 and 8. For the 3- digit…

Q: 21 2. 6.

A:

Q: How many ordered triples of letters are there taken from the letters A, T, C, and G?

A: given letters: A,T,C and Gtotal number of letters = 4

Q: Find L{1}ℒ{1}.

A:

Q: Prove that X Pn dx %3D

A: Recurrence relation.  Partial fraction.

Q: 10 8/10 + 9 7/12=

A:

Q: 4. Determine (16-912) dt c4

A: We will solve the problem.

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A:

Q: 4n – 1

A:

Q: (5V3)2

A: Explanation of the solution is given below...

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A: 514+16=15+742

Q: expand (a-b)7

A: The solution is given in the next step.

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A: given , number of partitions of n into k parts  we have to prove that , partitions of number n + k…

Q: 9/12+3/24

A:

Q: 4/11+3/8

A: Topic:- simplification

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Q: Reduce the following to the lowest terms. Show how to calculate the greatest common divisor by the…

A: The given fraction number is,Here we can write,As we can see the number 4 can be canceled out.This…

Q: Expand (a −b)4

A:

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: 5 7/12 + 1 3/4 + 4 1/2

A: Given that 5712+134+412Solution  :5712+134+412=57+39+24612

Q: -3n in

A:

Q: 57-24

A: Given that: 57-24

Q: W 4. What is the value of the 4th term of the expansion (a + b)"? O a5 O 5a*b O 10a²63 10a b?

A:

Q: Evaluabe: 25+3 se

A: Here we find Laplace inverse transform

Q: 5 2/5+ n= 75/6

A: Given query is to find the value of n.

Q: 8-12 (²

A: -83

Q: 2/5 +7/12

A: Please see the answer below.

Q: 土4 7

A:

Q: 22 7/8 - 7=

A: Given,

Q: 3 3/4 + 2 7/28

A:

Q: 4) /

A: Using By Parts rule of integration.

Q: How many different ways could you choose any 4 gumballs from the 25 gumballs in the…

A: We can choose 4 gumballs from the 25 gumballs in 25C4 ways.

Q: The expansion of 500P3 is

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