Answer:3 units/s
Step-by-step explanation:
Given

Point P lie on this curve so any general point on curve can be written as 
and 
Distance between Point P and (2,0)

P at x=3 P=2
rate at which distance is changing is



Answer:
3
Step-by-step explanation:
the initial statement is
y
∝
1
/x
to convert to an equation multiply by k the constant
of variation
y
=
k
×
1
/x
=
k
/x
to find k use the given condition
y
=
5 when x
=
6
y
=
k/
x
⇒
k
=
y
x
=
5
×
6
=
30
y
=
30
/x
when
x
=
10
then
y
=
30
/10
=
3
Answer:
A linear formula for S as a function of D is S=17D+1534
Step-by-step explanation:
We are supposed to find a linear formula for S as a function of D.
Equation of line : y = mx+c
We are given that At the surface, the speed of sound is 1534 meters per second.
c = 1534
We are given that for each increase in depth by 1 km, the speed increases by 17 m/s
So, Slope = m = 17
Substitute the values in equation
y=17x+1534
x denotes depth
y denotes speed
We are given that Use D for depth and S for the speed of sound
So, S=17D+1534
Hence a linear formula for S as a function of D is S=17D+1534
Let x = the next score
If (81 + 89 + 90 + 83 + 77 + x) ÷ 6 = 82
⇒ 420 + x = (82 × 6)
⇒ x = 492 - 420
x = 72
Thus to get an 82 average he need to get 72 on his next test.
Answer:
<h2>357°F </h2>
Step-by-step explanation:
Step one:
given data
actual reading= 350°F
thermometer reading 2% of the actual reading
Step two:
Required:
The thermometer reading
let us find 2% of 350°F
2/100*350°
=0.02*350
=7°F
Hence the thermometer reading is 7°F greater than 350°F
The thermometer reading is 350+7=357°F