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Tcecarenko [31]
2 years ago
15

The surface area of a sphere is directly proportional to the square of its radius. Find: a)the change in surface area of radius

decreases 19% b) The change in radius of the surface area is trebled
Mathematics
1 answer:
cluponka [151]2 years ago
3 0

Answer:

a: 34%

b: couldn't find the answer

Step-by-step explanation:

first we put the radius as r

we know surface area is 4pirsquared

so then we minus percent which is 119 so it is 81/100

square that fraction which will result 6561/10000

now we put in and equation of 4pirsquared -4pirsquared multiply 6561/10000 divide this all by 4pirsquared to get 3439/10000 or 0.3439 change it to %

34.39%

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The pressure at sea level is 111 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of
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Answer:

we have P(x) = mx + 1

Step-by-step explanation:

Allow me to revise your question for a better understanding:

<em>The pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of 23 meters, the pressure around her is 3.3 point, 3 atmospheres. The pressure p in atmospheres is a function of x, the depth in meters.</em>

My answer:

Given:

At O meter the the pressure is 1 (0, 1)

At 23 meters the the pressure is 3.3 (23, 3.3)

From that, we can form a linear equation with the standard form:

P(x) = mx + b (1)

The slope of (1) is:

m=\frac{3.3-1}{23-0}=\frac{2.3}{23}=\frac{23}{230}=0.1

<=> P(x) = 0.1x + b

Substitute the point (0, 1) into (1) we have:

1 = 0.1*0 + b

<=> b = 1

So we have the equation of this line will be: P(x) = mx + 1

7 0
2 years ago
Mitch is making birdhouses to sell. He needs to make at least $678. Each birdhouse costs $28 to make. He is selling them for $40
d1i1m1o1n [39]
Exact=56.5 rounded would be 57 because you can't make half a birdhouse.
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2 years ago
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Tommy Webster obtained a 30-year, $110,000.00 mortgage loan from People's Savings. The interest rate is 7.5 percent. For the fir
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The interest on the first monthly payment is ...
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Two workers produced 86 parts and the first one produced 8 more parts than the second one. How many parts did each worker produc
Diano4ka-milaya [45]
1st worker produced x pants,
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6 0
2 years ago
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On a road map, the locations A, B and C are collinear. Location C divides the road from location A to B, such that AC:CB = 1:2.
koban [17]

Answer:

C. (-1,-2)

Step-by-step explanation:

Since C internally divides AB in the ratio AC/CB = 1/2 = m/n where m = 1 and n = 2, we use the formula for internal division.

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So x = (mx₂ + nx₁)/(m + n)

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Substituting the values of the coordinates, we have

x = (mx₂ + nx₁)/(m + n)

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10 = (x₂ + 32)/3

multiplying through by 3, we have

30 = y₂ + 32

y₂ = 30 - 32

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So, the coordinates of B are (-1, -2)

3 0
2 years ago
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