Question 1:
The volume of a sphere is given by:
V = (4/3) * (pi) * (r ^ 3)
Where,
r: sphere radio
Substituting values we have:
V = (4/3) * (3.14) * ((10/2) ^ 3)
V = 523.3333333
Rounding the nearest whole number we have:
V = 524 m ^ 3
Answer:
option 1
V = 524 m ^ 3
Question 2:
The area of a sphere is given by:
V = (4) * (pi) * (r ^ 2)
Where,
r: sphere radio
Substituting values we have:
V = (4) * (3.14) * ((15/2) ^ 2)
V = 706.5
Rounding the nearest whole number we have:
V = 706.5 yd ^ 2
Answer:
V = 706.5 yd ^ 2
option 2
a) The motion described by the particle is undoubtedly a uniformly accelerated rectilinear motion, since the trajectory is rectilinear and the acceleration is constant.
b) In order to calculate the acceleration, we must apply the formula mentioned above, in such a way that the acceleration gives us:
Our acceleration is 2 meters per second squared.
c) We are asked to calculate the function of velocity in relation to time, we simply substitute in the formula.
Very easy!!.
d) To know what speed the particle will have at the instant of t = 8s, it is enough to substitute the value of “t” in the previous formula.
So the speed at time t = 8s is 21 m/s²
e) In this case we are asked to determine at what instant of time the particle will have a speed of 15 m/s, we replace this value in the formula, simply clearing the variable "t", that is:
Clearing "t"
Substituting the speed value
That is to say that when the particle has a speed of 15 m/s, it will happen exactly at 5 seconds.
(21)
Suppose, we have to find average rate of change of f(x) on [a,b]
we can use average rate of change formula
we are given
.............Answer
(22)
Suppose, we have to find average rate of change of f(x) on [a,b]
we can use average rate of change formula
on [-2,3]
we can look at the table
g(3)=12.5
g(-2)=400
so, we can plug these values
.........Answer
First create a ratio:
The sandwich cost 3.5 more than the drink therefore the ratio is 3.5:1
Then add the two sides of the ratio together to get the total parts of the ratio
3.5+1 = 4.5
Now that we know the total parts of the ratio we can solve for one part by dividing the total cost $9.90 by the total parts of the ratio 4.5+
$9.90/4.5 = 2.20
Since we know that each part of the ratio is 2.20 we multiply both sides of the ratio by 2.20
3.5 *2.20 = 7.70
1 * 2.20 = 2.20
Therefore the answer is B
Answer:
To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.
A
x
+
B
y
=
C
Since
x
is on the right side of the equation, switch the sides so it is on the left side of the equation.
3
x
−
2
=
y
Move
y
to the left side of the equation because it contains a variable.
3
x
−
2
−
y
=
0
Move
2
to the right side of the equation because it does not contain a variable.
3
x
−
y
=
2
Step-by-step explanation: