Answer:
1
Step-by-step explanation:
The average rate of change is measured as
in the closed interval [ a, b ]
here [ a, b ] = [ - 5, 5 ]
f(b) = f(5) = - 5² + 5 + 3 = - 25 + 8 = - 17
f(a) = f(- 5) = -(- 5)² - 5 + 3 = - 25 - 2 = - 27
Hence
average rate of change =
=
= 1
My answer -
<span>x 7 14 28 35
y 1 2 4 5
ratio x : y is 7 : 1
</span>
P.S
Happy to help you have an AWESOME!!! day :)
Answer:
area of triangle is
Step-by-step explanation:
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Area = hight^Breadth/2
So, start by calculating how much acid you have in your starting solution
25
L solution
⋅
60 L acid
100
L solution
=
15 L acid
Let's say that
x
denotes the volume of pure acid that you must add to your starting solution. Since you're dealing with pure acid, the volume of acid will Increase by
x
V
acid
=
15
+
x
At the same time, the volume of the solution will also incrase by
x
V
sol
=
25
+
x
This means that the target solution's percent concetration by volume will be equal to
V
acid
V
soL
⋅
100
=
75
%
(
15
+
x
)
L
(
25
+
x
)
L
⋅
100
=
75
%
Solve this equation for
x
to get
(
15
+
x
)
⋅
100
=
(
25
+
x
)
⋅
75
1500
+
100
x
=
1875
+
75
x
25
x
=
375
⇒
x
=
375
25
=
15 L
So, if you add 15 L of pure acid to 25 L of 60% v/v acid solution, you'll get 40 L of 75% v/v acid solution.