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PIT_PIT [208]
3 years ago
11

Is 2 greater than negative 2?

Mathematics
1 answer:
luda_lava [24]3 years ago
3 0

Answer:

yes

Step-by-step explanation:

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Suppose you are climbing a hill whose shape is given by the equation z = 1400 − 0.005x2 − 0.01y2, where x, y, and z are measured
Anarel [89]
Answer: You start to ascend

Explanation:

Since you are walking due south and the positive y-axis points north, the y-coordinate decreases.

Let 

y' = y-coordinate after walking due south
z' = z-coordinate (or the height) after walking due south

So, the point where you stand after walking due south has a coordinate of (100, y', z'). Moreover,

z' = 1,400 - 0.05(100)^2 - 0.01(y')^2
\\ \boxed{z' = 1350 - 0.01(y')^2}

Since the y-coordinate decreases after walking due south and z' = 1350 - 0.01(y')^2,

y'  \leq 120\\ \Rightarrow (y')^2 \leq 120^2 = 14,400\\ \Rightarrow -0.01(y')^2 \geq -0.01(14,400) = -144\\ \Rightarrow z' = 1,350 - 0.01(y')^2 \geq 1,350 - 0.01(14,400) = 1,206\\ \Rightarrow \boxed{z' \geq 1,206}

So, the height after walking due south exceeds 1,206 meters, which is the previous height before walking due south. Therefore, if you walk due south from point with coordinates (100, 120, 1206), you are ascending.
5 0
4 years ago
Is the LCM of a pair of numbers ever equal to one of the numbers?
den301095 [7]

Yes.

For example, the LCM of 12 and 36 is 36, because factoring these numbers gives

12 = 2^2 * 3

36 = 2^2 * 3^2

So, to match them, just multiply the twelve by 3, then they're both 36.

6 0
3 years ago
The time it takes to mow the lawn at a large Park m(x) varies inversely with the number of workers assigned to the job X it take
konstantin123 [22]
I think the answer is A) 
5 0
3 years ago
What’s the range of the function on the graph?
sertanlavr [38]
D All real numbers Equal or greater that 2
6 0
3 years ago
-onsider x + 4 = x + 8. What values could be substituted for x to make this a true
devlian [24]

Answer:

No because upon subtracting x on both sides you obtain a false equation of 4=8.

The problem:

What are x values that satisfy:

x+4=x+8?

Step-by-step explanation:

No number can be substituted into x+4=x+8 to make it true.

There is no number that you can find such that when you add 4 to it will give you the same as adding 8 to it.

Also if you subtract x on both sides you obtain the equation 4=8.

4=8 is not true so x+4=x+8 is never true for any x.

7 0
3 years ago
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