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irina1246 [14]
3 years ago
14

Simplify −(3p53q3)−5.

Mathematics
1 answer:
arsen [322]3 years ago
7 0

Answer: -3p^53q^3-5

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
3 years ago
NEED HELP ASAP !!!<br><br> Simplify: √16r<br> O 47²<br> O 473<br> 87²<br> O 8-3
Vlad1618 [11]

Answer:

4 r^3

Step-by-step explanation:

sqrt ( 16 r^6 )    = sqrt ( 4^2 * (r^3)^2  )    =   4 r^3

6 0
2 years ago
Katie has 36 coins in her jar (nickels, dimes, and quarters) totalling $4.20. She has twice as many dimes as quarters. How many
Diano4ka-milaya [45]

Answer:

I think you need to mutply those. And you will get your answer.

Step-by-step explanation:

4 0
3 years ago
Gina has to pay monthly installments for a period of 24 months to
madreJ [45]
It would be a lease.
7 0
3 years ago
3(2x-7=5-(1-x) pls help me
vekshin1

Answer:

 3 • (2x - 7) -  (x + 4)  = 0

then do 3.1     Pull out like factors :

  5x - 25  =   5 • (x - 5)

 5 • (x - 5)  = 0

4.2      Solve  :    x-5 = 0

Add  5  to both sides of the equation :

                     x = 5

Step-by-step explanation:

7 0
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