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Luden [163]
3 years ago
11

Which of the following is a function?

Mathematics
1 answer:
AlladinOne [14]3 years ago
5 0

Answer:

(5,-4) (-4,5) (-5,4) (4,-5)

Step-by-step explanation:

What makes it a function is the fact that the X does not repeat

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A sphere is partially filled with air. If the volume of the sphere is increasing at a rate of 548 cubic feet per second, what is
Rama09 [41]

Answer:

  137/(36π) ft/s

Step-by-step explanation:

The rate of change of volume will be the product of the rate of change of radius and the area of the sphere. The area of the sphere is ...

  A = 4πr² = 4π(6 ft)² = 144π ft²

Then the relationship above is ...

  dV/dt = A·dr/dt

  548 ft³/s = (144π ft²)·dr/dt

  dr/dt = (548 ft³/s)/(144π ft²) = 137/(36π) ft/s ≈ 1.2113 ft/s

8 0
3 years ago
For a sequence an=3/n(n+1) what is the value of a 10
FrozenT [24]

Answer:

\large\boxed{a_{10}=\dfrac{3}{110}}

Step-by-step explanation:

Put <em>n = 10</em> to the equation a_n=\dfrac{3}{n(n+1)}

a_{10}=\dfrac{3}{10(10+1)}=\dfrac{3}{10(11)}=\dfrac{3}{110}

3 0
3 years ago
Read 2 more answers
Which table has a constant of proportionality between y and x of 12?
Nikolay [14]

Answer & Step-by-step explanation:

To find if they have a constant of proportionality of 12, use the following:

\frac{y}{x}=12

Divide y by the x value (x,y), and if the remaining equation is true, then that table has a constant of proportionality of 12.*

:Done

*Make sure you check all the values in a table. Sometimes only the first values will have k=12, while the others don't.

**The constant of proportionality is represented by <em>k</em>.

3 0
3 years ago
Read 2 more answers
All formulas have how many variables?
Misha Larkins [42]

Answer:

The correct option in this case is A.) more than one.

Step-by-step explanation:

All formulas have how many variables?

The correct option in this case is A.) more than one.

8 0
3 years ago
The distance from Parrot Point Airport to the Ivy Cliffs is 178 miles at and angle of 7.1 degrees northeast. There is a wind blo
Hitman42 [59]

Answer:

The speed is 74.0 miles per hour and the angle is 65.1° north-east

Step-by-step explanation:

We resolve the distance moved by the wind and plane into horizontal and vertical components. The direction moved horizontally by the plane is 178sin7.1 = 22 miles.

Since the wind is moving south east, it is at 45 south of east or a bearing of 135.

Since the wind speed is 30 mph and it takes 2 hours to complete the trip, the horizontal distance moved by the wind is vtcos135 = 30 × 2cos45 = 42.43 miles

Also, the vertical displacement moved by the wind is vtsin135 = -30 × 2 sin45 = -42.43 miles

The displacement moved vertically by the plane is 178cos7.1 = 176.64 miles

The total horizontal displacement of the plane is 22 miles + 42.43 miles = 62.43 miles

The total vertical displacement of the plane is 176.64 miles - 42.43 miles =   134.21 miles

The resultant displacement is thus d = √(62.43² + 134.21²) = 148.02 miles

The direction of this displacement is thus

Ф = tan⁻¹(total vertical displacement/total horizontal displacement)

= tan⁻¹(134.21/62.43)

= tan⁻¹(2.1498)

= 65.05°

= 65.1° to the nearest tenth degree.

The speed is thus v = distance/ time = 148.02 miles/ 2 hours = 74.01 mph ≅ 74 mph. Since the direction of the displacement is the direction of the velocity, the velocity is thus 74 miles per hour at 65.1° north-east.

So the speed is 74.0 miles per hour and the angle is 65.1° north-east

8 0
3 years ago
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