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harina [27]
3 years ago
10

Let log P/N=8 and log M/N=5 What is the relationship between P and M?

Mathematics
1 answer:
Radda [10]3 years ago
8 0
Want to use some of the algebra rules of log's:

log(a)-log(b)= log(a/b),

so log(P/N) - log(M/N) = log( P/N:M/N) = log(P/M),

Then: 8-5 = log(P/M), log(P/M)=3.

If log here means natural logarithm (base e), then P/M = e^3,

If log here means basis 10, decimal logarithm, then P/M = 10^3 = 1000.
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Ber [7]

55.3 hours

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8 0
3 years ago
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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
If y=6 when x=15 then which of thr following is the value of x when y=20
denis23 [38]

Answer:

if you meant x times y...

15 x 20 is 300.

if you meant x + y...

15 + 20 is 35.

if you meant anything else, please let me know

the way it was written confused me but I tried.

7 0
2 years ago
Write the equation of a line that goes through point (0,1) and has a slope of 0
8090 [49]

Answer:

1 = y

Step-by-step explanation:

The y-intercept is [0, 1], so you draw a horizontal line through the line y = 1., which is considered a zero <em>slope</em><em> </em>[<em>rate</em><em> </em><em>of</em><em> </em><em>change</em>].

I am joyous to assist you anytime.

5 0
3 years ago
3. (x,y) → (x + 2,y) → (x, y)
Llana [10]

1) A translation 2 units right

2) A reflection over the x-axis

4 0
2 years ago
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