Answer:
The rate at which both of them are moving apart is 4.9761 ft/sec.
Step-by-step explanation:
Given:
Rate at which the woman is walking,
= 3 ft/sec
Rate at which the man is walking,
= 2 ft/sec
Collective rate of both, 
= 5 ft/sec
Woman starts walking after 5 mins so we have to consider total time traveled by man as (5+15) min = 20 min
Now,
Distance traveled by man and woman are 
and 
ft respectively.
⇒ 
⇒ 
As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate 
.
Lets calculate h.
Applying Pythagoras formula.
⇒ 
⇒ 
Now differentiating the Pythagoras formula we can calculate the rate at which both of them are moving apart.
Differentiating with respect to time.
⇒
⇒ 
⇒ 
...as 
⇒ Plugging the values.
⇒ 
...as 
ft/sec
⇒ 
ft/sec
So the rate from which man and woman moving apart is 4.9761 ft/sec.
7 + 2(x - 3) + 5x
= 7 + 2x - 6 + 5x <em>distributed 2 into x - 3</em>
= 7 - 6 + 2x + 5x <em>grouped like terms together</em>
= 1 + 7x
You didn't provide an image of the steps but hopefully you can figure it out based on the information I provided.
26&27
Start by writing out the equation which would be: 106=2(n+n+1)
N: fist integer
N+1: is the consecutive integer
Then solve:
106=2(2n+1). Combine.
106=4n+2. Distribute.
104=4n. Move whole numbers to the left.
N=26. Divide
N+1=27 Plug in for second integer
Answer:
a= 168
p= 62
Step-by-step explanation:
25 24 and 7 are pythagorean triples. meaning the short side length is 7.
24*7 = 168
48+14=62
Answer:
There is sufficient evidence at the 0.05 level
Null hypothesis ; H0 : p = 0.47
Alternative hypothesis : H1 : p ≠ 0.47
Step-by-step explanation:
percentage favoring construction of adjoining community = 47%
level = 0.05
To determine if the 0.05 confidence level is enough to support the major's claim we have to state the Null and alternative hypothesis
Null hypothesis ; H0 : p = 0.47
Alternative hypothesis : H1 : p ≠ 0.47
