Solution: The given equation is →3 x+ 5 x=10
As you can see in the above equation on left side of equation the two terms are variables and on right side of equation the term is a constant term.Also you can see there is an operation called addition between the two variables on left side of equation.
In option (A), there is only a single term on right as well as left,so this can't be true.
In option (B), there is a constant and variable on left side of equation.So this is also untrue.
In option (C), variable being divided by numerator, so this is also untrue.
Option (D)3 x - 2 x = 10, is surely correct , because there are two variables on left side of equation and one constant on right side of equation, and there is an operation called subtraction between them .
The cone equation gives
which means that the intersection of the cone and sphere occurs at
i.e. along the vertical cylinder of radius
when
.
We can parameterize the spherical cap in spherical coordinates by
where
and
, which follows from the fact that the radius of the sphere is 3 and the height at which the sphere and cone intersect is
. So the angle between the vertical line through the origin and any line through the origin normal to the sphere along the cone's surface is
Now the surface area of the cap is given by the surface integral,
Probability of having a girl: 1/2
Probability of having another girl right after: 1/2
Probability of having a boy right after: 1/2
Then another boy: 1/2
And a third boy: 1/2
To find compound probabilities, just multiply them together.
Answer:
Since and , then the quadrilateral ABCD is a parallelogram.
Step-by-step explanation:
First, we label each point of the quadrilateral with the help of a graphing tool. If the quadrilateral ABCD is a parallelogram, then and . If we know that , , and , then the measure of each vector is, respectively:
Since and , then the quadrilateral ABCD is a parallelogram.
Answer:
6 batches is the least amount.
Step-by-step explanation: