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3 years ago

What integer is the opposite of -3?

Mathematics

1 answer:

Artyom0805 [142]3 years ago

3 0

Positive 3 is the opposite of negtive 3

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You are situated 300 feet from the base of Tower Glitz Plaza watching an external elevator descend down the side of the building

nordsb [41]

Answer:

18.66 ft/s

Step-by-step explanation:

The distance between you and the elevator is given by:

$h=\sqrt{x^2+y^2}$

The rate of change for the distance between you and the elevator is given by:

$\frac{dh}{dt}=\frac{dh}{dy}*\frac{dy}{dt}$

$-16=\frac{dh}{dy}*\frac{dy}{dt}$

$\frac{dh}{dy}=\frac{d}{dy} (\sqrt{x^2+y^2})\\$

Applying the chain rule:

$u=x^2+y^2\\\frac{dh}{dy}=\frac{d\sqrt u}{du} *\frac{du}{dy}\\\frac{dh}{dy}=\frac{1}{2\sqrt u} *2y\\\frac{dh}{dy}=\frac{y}{\sqrt {(x^2+y^2)}}$

Therefore, at x=300 and y = 500, dy/dt is:

$-16=\frac{y}{\sqrt {(x^2+y^2)}}*\frac{dy}{dt}\\-16=\frac{500}{\sqrt {(300^2+500^2)}}*\frac{dy}{dt}\\\frac{dy}{dt}=-18.66\ ft/s$

The elevator is descending at 18.66 ft/s.

7 0

3 years ago

1. Evaluate 3y - 4 for y =5

irina1246 [14]

Answer:

1. Evaluate 3y - 4 for y =5

3*(5)-4=15-4=11

2. 65 + x = 99 x = ?

65+x=99

x=99-65

x=34

3. Find the product. 38.7 *21

38.7*21=812.7

4. Which value satisfies the equation? 9x + 3 = 30

The right value for x would be:

9x+3=30

9x=30-3

9x=27

x=27/9=3

Step-by-step explanation:

3 0

3 years ago

Name this figure.

vitfil [10]

Answer:

The figure is a Rhombus.

Step-by-step explanation:

Cause well it looks like a Diamond pretty much. Hope this helps.

3 0

3 years ago

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8x -6=18 what does x equal

professor190 [17]

Answer:

x = 3

Step-by-step explanation:

8x -6 = 18

Add 6 to both sides.

8x = 24

Divide both sides by 8 to isolate x.

x = 3

4 0

2 years ago

Bob and Jimmy went to the gym to lift weights. Jimmy lifted twice as much as Bob. Together they lifted 51lbs. How much did each

Darina [25.2K]

I broke it all the way day half of 51 is 25 in a half and half of 25 is 12 in half so if Jimmy lifted twice as much he may have lifted 25 in a half and bob left 12

8 0

3 years ago

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