Answer:
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Step-by-step explanation:
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1, 3, 5, 7, 9, 11, 13, 15.................39
Therefore the total sum = 400
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Since in the above case, the beaker has two sections each with different radius and height, we will divide this problem into two parts.
We will calculate the volume of both the beakers separately and then add them up together to get the volume of the beaker.
Given, π = 3.14
Beaker 1:
Radius (r₁) = 2 cm
Height (h₁) = 3 cm
Volume (V₁) = π r₁² h₁ = 3.14 x 2² x 3 = 37.68 cm³
Beaker 2:
Radius (r₂) = 6 cm
Height (h₂) = 4 cm
Volume (V₂) = π r₂² h₂ = 3.14 x 6² x 4 = 452.16 cm³
Volume of beaker = V₁ + V₂ = 37.68 + 452.16 = 489.84 cm³
Answer:
Step-by-step explanation:
f-1(x) is the inverse of f(x)
to find the inverse let’s set the equation up like this
y = 4x -2
now we’ll switch x and y
x = 4y -2
and solve for y
x + 2 = 4y
x/4 + 2/4 = y
the inverse is
y = x/4 + 1/2
this equation is written in y = mx + b form
where b = y intercept
so the y intercept is 1/2
Answer: a = 3
Step-by-step explanation: when you multiply 6 by -3 you get -18 and if you add 16 you get -2
so the slope is -3 and the y-intercept is 16
so a*-3 + 16 = 7
by subtracting 16 on both sides you get
-3a = -9
and to get a by itself you divide -3 on both sides
a = -9/-3
a= 9/3
a = 3