Answer:
(b) 1
Step-by-step explanation:
To differentiate 
we will need the product rule:
.
We have 
, so the following equation is true by the transitive property:
By subtraction property we have:
Since 
, then we can divide both sides by 
:
This implies 
is constant.
So we have that 
where 
is a real number.
Since 
and 
, then by transitive property 
.
So 
.
Checking:
So the following conditions were met.
Answer:
7/10
Step-by-step explanation:
Hi ;-)
7/9 + 6/8 + 6/3 = 7/8 + 3/4 + 2 =
= 28/32 + 24/32 + 2 = 52/32 + 2 =
= 1 20/32 + 2 = 3 20/32 = 3 5/8
The time it will take the thermometer to hit the ground is 22 seconds
<h3>Calculating Time </h3>
From the question, we are to determine the how long it would take the thermometer to hit the ground
From the given information,
The equation for the height as a function of time is
h(t) = -16t² + initial height
From the given information,
The thermometer falls from a weather balloon at a height of 7744 ft
∴ Initial height = 7744 ft
When the thermometer hits the ground, h(t) = 0
Thus, we get
0 = -16t² + 7744
16t² = 7744
t² = 7744/16
t² = 484
t = √484
t = 22 seconds
Hence, the time it will take the thermometer to hit the ground is 22 seconds
Learn more on Calculating time here: brainly.com/question/17162388
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