MATHEMATICS COLLEGE

given f(7)=4, f'(7)=10, g(7)=-1, g'(7)=8, find the values of the following: 1. (fg)'(7) = 2. (f/g)'(7) =

Answers

Answer 1
Answer:

By the product rule,

(fg)'=f'g+fg'

so that

(fg)'(7)=f'(7)g(7)+f(7)g'(7)=10\cdot(-1)+4\cdot8=22

By the quotient rule,

\left(\frac fg\right)'=(f'g-fg')/(g^2)

so that

\left(\frac fg\right)'(7)=(f'(7)g(7)-f(7)g'(7))/(g(7)^2)=(10\cdot(-1)-4\cdot8)/((-1)^2)=-42

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Two guy wires from the top of a 200-foot radio antenna are anchored to the ground by two large concrete posts. The antenna is perpendicular to the ground and between the two posts. If the angles of depression from the top of the antenna to each of the posts is 46o and 48o respectively, then the distance between the two posts is:_______

Answers

Answer: 373.22 feet

Step-by-step explanation:

The attached photo contains the diagram illustrating the scenario. 2 right angle triangles ACD and BCD are formed.

The distance between the two posts is AD + BD

To determine AD, we would apply the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side

Tan 46 = 200/AD

AD = 200/Tan 46 = 200/1.0355

AD = 193.14

To determine BD, we would also apply the tangent trigonometric ratio. Therefore

Tan 48 = 200/BD

BD = 200/Tan 48 = 200/1.1106

BD = 180.08

Therefore, the distance between the two posts is

193.14 + 180.08 = 373.22 feet

5.Eight feet of plastic tubing costs $4.08. If you only have $8.16 to spend, how much plastic tubing
can you afford?
Cho

Answers

Answer:

You can afford 16 feet of plastic tubing.

Step-by-step explanation:

Divide 8.16 by 4.08 = 2

Multiply 8 by 2 = 16

Hope this helps! Have a good day!

Answer:

Sixteen feet of plastic tubing

Step-by-step explanation:

4.08x2=8.16 and 8x2=16 so its just double the amount.

Help me PLSSSSSSSSSSSSS

Answers

Answer:

part A - 256 stickers

part B - 8 stickers each

Step-by-step explanation:

hope this helps

Answer:

a) 256

b) 8

Step-by-step explanation:

a) as it says in the question, each box contains 64 stickers. Mrs Kim bought 4 boxes , so she has 4 times more than a single box (64 stickers)

The calculation is simple: 64 x 4, which equals 256

b) If there are 256 stickers all-together and she has 32 people to share them equally with, you have to divide 256 by 32 to see how many stickers each person will get:

256 ÷ 32 = 8

The constant in the expression 8x 3 + 4x 2 – 9 is

Answers

Answer : 9

Step-by-step explanation:

The answer is 9 because a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.

Help please it’s supposed to be turned in

Answers

Answer:

30 i believe

Step-by-step explanation:

hope this helps. i say 30 because thats the only common multiple in those numbers :P

A person invested 3,900 in an account growing at a rate allowing the money to double every 7 years. How much money would be in the account after 18 years to the nearest dollar

Answers

Answer:

23182 or 23181.5109105

Step-by-step explanation:
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