Answer: 2.72 i guess
The amount of chlorine needed to treat a swimming pool is directly proportional to the volume of the poolWhat is the constant of proportionality for this relationship
We have given 8 is to 32 as 9 is to N. After figuring that 4 is multiple, So, the value of N is 36.
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have given 8 is to 32 as 9 is to N.
We need to find the value of N.
8 times 4 is 32.
After figuring that 4 is multiple,
We can see that multiplying 9 by 4 gives the N.
9 times 4 is 36.
So, the value of N is 36.
Learn more about the unitary method;
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Answer:
0
Step-by-step explanation:
We want to compute the curve integral (or line integral)
where the force field F is defined by
F(x,y) = (y, -x)
and C is the path consisting of the line segment from (1, 5) to (0, 0) followed by the line segment from (0, 0) to (0, 9).
We can write
C =
where
= line segment from (1, 5) to (0, 0)
= line segment from (0, 0) to (0, 9)
so,
Given 2 points P, Q in the plane, we can parameterize the line segment joining P and Q with
r(t) = tQ + (1-t)P for 0 ≤ t ≤ 1
Hence can be parameterized as
for 0 ≤ t ≤ 1
and can be parameterized as
for 0 ≤ t ≤ 1
The derivatives are
and
In consequence,
The work done by the force field F = (y, -x) along the given path is -5 Joules. This was calculated by breaking the path into two segments and calculating the work done for each segment.
To calculate the work done by the force field F = (y, -x) when moving an object along a specific path, we utilize the concept of the line integral or the dot product of the force and the displacement vector. We can break down the given path into two line segments and solve each separately.
The first segment is from (1, 5) to (0, 0). Only the x component of the displacement is non-zero here, the force is F = (5, -1). Thus the work done on this segment is given by W = F.d = Fd cos θ = -(5 N)(1 m)(cos(180)) = -5 J, where J stands for Joules, the unit of work or energy.
The second segment is from (0, 0) to (0, 9). The force and displacement are perpendicular so the work done is 0.
By adding the work done on these two segments, we arrive at the total work done: W_total = -5 J + 0 J = -5 J
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symmetry for y=x²+2
Answer:
x=0
Step-by-step explanation:
The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b/2a
in our case
y=x^2+2
a=1 b=0 c=2
so x=-b/2a=-0/2*1=0
x=0 is axis of symmetry
Answer:
The number of monthly memberships before the incentive was 100
Step-by-step explanation:
Remember that
The total memberships after the incentive is equal to the total memberships before the incentive
step 1
Find out the annual memberships after the incentive
Let
x -----> monthly memberships after the incentive
y -----> annual memberships after the incentive
we know that
-----> equation A
substitute the value of x in equation A
step 2
Find out the total memberships after the incentive
step 3
Find out the monthly members before the incentive
Let
x -----> monthly memberships before the incentive
y -----> annual memberships before the incentive
we know that
-----> equation A
-----> equation B
substitute equation A in equation B and solve for x
therefore
The number of monthly memberships before the incentive was 100
Initially, there were 100 monthly members at the community pool, before the incentives were offered.
We start with the information that the ratio of monthly to annual memberships was initially 10 to 3, and then became 5 to 8. After the incentive, we're told there are now 50 monthly members.
To solve this problem, we set up a proportion. Since each part of the new ratio equals 10 members (50 monthly members/5 parts = 10 members per part), we can infer that before the incentive there were 10*10=100 monthly members.
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