Answer:
30 pounds is 13.6078 kilograms.
13 x 16 = 208.
Mary's dog should be given 208 mg of medicine.
Commutative says you can add or multiply in any order
basically goes like this
a+b=b+a or
ab=ba
so what we need is something where the order change, nothing else
first one: (4+3)+x=(3+4)+x, the order changed, correct
2nd
ab=ba, this is not addition
3rd
r+(s+t)=(r+s)+t this is associative property
4th
n+0=n
this is zero addition property
answer is first one
Answer: 
Step-by-step explanation:
By definition, the volume of a rectangular prism can be calculated with the following formula:
Where "l" is the length, "w" is the width and "h" is the height of the rectangular prism.
In this case, you can identify that the length, the width and the height of this rectangular prism given in the exercise, are:
Then, knowing its dimensions, you can substitute them into the formula:
Finally, evaluating, you get that the volume of that rectangular prism is:
Solution:
We have been asked to find the distance between the points (3, 3) and (7, 3).
we can find the distance between the two points using the distance formula.
The distance formula is given as
Now substitute the given values we get
Hence the distance between the given points is 4
<h3>2
Answers: Choice C and choice D</h3>
y = csc(x) and y = sec(x)
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Explanation:
The term "zeroes" in this case is the same as "roots" and "x intercepts". Any root is of the form (k, 0), where k is some real number. A root always occurs when y = 0.
Use GeoGebra, Desmos, or any graphing tool you prefer. If you graphed y = cos(x), you'll see that the curve crosses the x axis infinitely many times. Therefore, it has infinitely many roots. We can cross choice A off the list.
The same applies to...
- y = cot(x)
- y = sin(x)
- y = tan(x)
So we can rule out choices B, E and F.
Only choice C and D have graphs that do not have any x intercepts at all.
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If you're curious why csc doesn't have any roots, consider the fact that
csc(x) = 1/sin(x)
and ask yourself "when is that fraction equal to zero?". The answer is "never" because the numerator is always 1, and the denominator cannot be zero. If the denominator were zero, then we'd have a division by zero error. So that's why csc(x) can't ever be zero. The same applies to sec(x) as well.
sec(x) = 1/cos(x)
