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tino4ka555 [31]
2 years ago
8

What is the equation of the parabola with focus (4,1) and directrix y= 2?

Mathematics
1 answer:
mariarad [96]2 years ago
8 0
It’s A I think I had it on a recent test :) I’m not sure tho
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A spherical hot-air balloon has a diameter of 55 feet. When the balloon is inflated, the radius increases at a rate of 1.5 feet
abruzzese [7]

Answer:

The time it would take to inflate the balloon to approximately two-thirds of its maximum volume is approximately 46.90 minutes

Step-by-step explanation:

The given parameters are;

The diameter of  the balloon  = 55 feet

The rate of increase of the radius of the balloon when inflated = 1.5 feet per minute

We have;

dr/dt = 1.5 feet per minute = 1.5 ft/min

V = 4/3·π·r³

The maximum volume of the balloon = 4/3 × 3.14 × 55³ = 696556.67 ft³

When the volume is two-thirds the maximum volume, we have;

2/3 × 696556.67 ft³ = 464371.11 ft³

The value of the radius, r₂ at that point is found as follows;

4/3·π·r₂³ = 464371.11 ft³

r₂³ = 464371.11 ft³ × 3/4 = 348278.33 ft³

348278.333333

r₂ = ∛(348278.33 ft³) ≈ 70.36 ft

The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)

The time for the radius to increase to the above length ≈ 70.369 ft/(1.5 ft/min) ≈ 46.90 minutes

The time it would take to inflate the balloon to approximately two-thirds of its maximum volume ≈ 46.90 minutes.

4 0
3 years ago
An exponential function will always
stich3 [128]

i think its true

i have to add 20 characters or more so here you go

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3 years ago
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Last year, the average monthly revenue at stamford times newspaper was 35,700. So far this year, the average has been 29% more t
monitta

Answer:

$46,053

Step-by-step explanation:

  1. Convert 29% into a decimal, which is 0.29.
  2. Multiply $35,700 by 29% as a decimal (0.29), which is 10,353.
  3. Since the keyword is more, we want to add $35,700 and 10,353 (29% of $35,700). The answer will be $46,053.
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Sain has a student loan for $22,990. This loan has a simple interest rate of 5%. What is the amount of interest Sain will be cha
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Answer:

3448.5

Step-by-step explanation:

I=PRT

I=22990×0.05×3

=$3448.5

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3 years ago
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Michelle buys a rug for $36 and sells it for $90. What was the value of her markup, expressed as a percent?
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Her markup was about 60%.
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