Answer:
The constant of proportionality for the group of boxes is: 25
Step-by-step explanation:
Proportion means that change in one quantity causes change in other quantity. Direct variation means that increase in one quantity causes increase in the other quantity.
Let l be the length and v be the volume
Then according to given statement
V∝l
Removing the proportionality symbol introduces a constant in the equation
Putting V = 325 and l = 13
Hence,
The constant of proportionality for the group of boxes is: 25
It's the Arithmetic series. I hope this has helped.
9514 1404 393
Answer:
D . . . (best of the erroneous choices)
Step-by-step explanation:
Solving the first equation for x, we get ...
√(y -1) ≥ x
Solving the second equation for x, we get ...
x > 3
Substituting for x, we have ...
√(y -1) > 3
y -1 > 9
y > 10
Ordered pairs that are in the solution set will have coordinates ...
x > 3, y > 10
In interval notation that looks like ...
x ∈ (-∞, 3) and y ∈ (10, ∞)
The closest answer choice is the last one.
_____
You will note that x must be strictly greater than 3, so y cannot be equal to 10. The offered choice is in error on that point.
__
You will also note that y is dependent on x. That is, one cannot pick a value of y greater than 10 independently of the value of x. In that sense, the solution is not "the set of all ordered pairs such that [x and y have independent limits]". Rather, it is the set of all ordered pairs such that √(y -1) ≥ x > 3.
Distributive property says a(b+c)=ab+ac so
4(3x+2)=4(3x)+4(2)=12x+8
then add
12x+8-2
12x-6
it could also be 6(2x-1)
factor 20b-16
find the greatest common factor of both
20=2 times 2 times 5
16=2 times 2 times 2 times 2
GCF=2 tiemes 2=4
20b-16
undistribute 4 from each (divide each by 4)
4(5b-4)
Answer:
it is an unknown exponent so you have to find out the other part of the expression then you do the exponent. so the answer is two
Step-by-step explanation:
16^1/4
16 1/4
4÷2×2×2×2=2
