Answer:
y = 1/9
Step-by-step explanation:
(-2, y) = (x, y)
y = 3^x
y = 3^(-2)
y = 1/9
Therefore y = 1/9
Answer:
The approximate volume is 
Step-by-step explanation:
we know that
The exact volume of the cylinder is

so
To find the approximate volume of the cylinder, substitute the term
by the approximate value of
and then multiply
so

Step-by-step explanation:

Please consider the attached graph.
We have been given that there are two different models of the same triangular-shaped garden. The height of the model on the left is 14 cm. We are asked to find the height of the model.
First of all, we will convert 14 cm into feet.
We can see that model on left side has a scale of 1 cm is equal to 15 feet.
14 cm = 14×15 feet = 210 feet.
We can see that model on the right side has a scale of 1 cm is equal to 7.5 feet.
Since both models represent same triangular-shaped garden, so the actual height for the both models will be same.
Now we need to convert actual height of 210 feet into inches using 2nd scale.

Therefore, the height of the model on right is 28 inches.
Answer:
Acceleration of the particle = 
Step-by-step explanation:
We are given the position vector of a particle moving in a circle of radius b units.
r(t) = b cos(ωt)i + b sin(ωt)j
Velocity , v =
= -bω sin(ωt)i + bω cos(ωt)j
The magnitude of velocity, v =
Squaring both sides,

Since
= 1

The acceleration towards the centre is called the centripetal acceleration and is given by
a = 
a = 
a = 