If the current in a stream moves at a rate of 7 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream then the speed of the boat in still water is 21 miles per hour.
<h3>What is speed?</h3>
Speed is the distance covered by an object in a certain time period. It is also known as velocity. The formula of speed is as follows:
Speed=Distance/ Time.
<h3>How to calculate speed?</h3>
We have been given that the speed of stream is 7miles per hour.
Let v be the speed of the boat, and t the time to travel
98=t*(7+v) (1)
49=t(v-7) (2)
(1)+(2) => 2tv=147
7t+(49+7t)=98
14t+49=98
14t=49
t=49/14
t=7/2
Put the value of t in equation 1 to get the value of v:
98=t(7+v)
98=7/2(7+v)
196/7=7+v
28=7+v
v=28-7
v=21
Hence if the current in a stream moves at a rate of 7 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream then the speed of the boat in still water is 21 miles per hour.
Learn more about speed at brainly.com/question/4931057
#SPJ2
F(g(x)) where you see an 'x' in f(x) put a g:
f(g(x)) = 1/(g-7), now step by step: g - 7 = 6/x+7-7=6/x, and 1/(g-7)=1/(6/x)=x/6!
I let the second one for you. Sorry if you disagree!
Answer:
Step-by-step explanation:
Last one
The formula is jus y= mx + b
M is the slope (rise over run)
And b is the y- intercept
Hope that helps
Answer: a) first 4 terms would be 10, 5, 2.5, 1.25.
b)
Step-by-step explanation:
Since we have given that
h₀ = 20
r = 0.5
As it is a geometric sequence.
So, hₙ would be
First 4 terms would be
Hence, a) first 4 terms would be 10, 5, 2.5, 1.25.
b)