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tamaranim1 [39]
3 years ago
15

The volume of a sphere is directly proportional to the cube of its diameter. The volume of a sphere with a diameter of 12 inches

is 288π in3. In terms of π, what is the constant of proportionality? To the nearest tenth, what is the volume of a sphere with a diameter of 3 inches?
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0
The volume of a microbial culture is observed to increase according to the formula V(cm^3) = e^t where t is time in seconds
a) calculate the expression for V(in^3) in terms of t(h)
<span>b) both the exponential function and its argument must be dimensionless. the given equation seems to violate both of these rules, and yet the equation is valid. explain this paradox. [hint: observe the result of part a]</span>
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What is the simplest form of 4 square root 81x^8y^5?
olasank [31]
Firstly,
thanks for posting this.

81 = 9x9 or 9 squared so at this stage I'm guessing the last two. 
x^ 8 = (x^ 4) x (x^ 2) (its called the multiplication rule of indices). 
Okay I have approx 14 mins to answer.
No panic
√ 81.x^8 x <span>√ y^5
</span>√ (9x^2 x 9x^6) x <span>√ y^5
</span>= 9x x <span>√ 9x^6 x  </span><span>√ y^5
</span>did I just gain time?
√ 9x^6 = <span>√ </span>3x ^3 x <span>√ 3x ^ 3
</span>or 2 . √ 3x^3. <span>√ y^5
</span>more time
okay, so that wasnt successful. 
√ 9x^6 =<span>√ </span> (3x^2) x <span>√ </span>(3x^4)




5 0
3 years ago
Given a triangle with perimeter 63 cm, one side of which is 21 cm, and one of the medians is perpendicular to one of its angle b
kodGreya [7K]

Answer:

The lengths of all sides of the triangle will be 21 cm, 21 cm, and 21 cm

Step-by-step explanation:

Given that the perimeter of the triangle = 63 cm

And the length of one side = 21 cm

and one of the medians is perpendicular to one of its angle bisectors

Since triangle has 3 sides,

Median = 63 ÷ 3 = 21

Therefore each side length = 21 cm

3 0
3 years ago
Ms Durham buys a metre of fabric. She cuts off 30) cm. The amount of fabric left in<br> cm is?
oksian1 [2.3K]
70 cm

ex:
100 cm in a meter
so you’d do 100-30 cm
and that equals 70 centimeters
6 0
3 years ago
ANYONE KNOW THE ANSWER TO THIS??
mojhsa [17]

Answer:

x = 14 is your answer

Step-by-step explanation:

76 = 7x-22, so to figure it out, you first move -22 to the other side and get

76+22 = 7x.

add them together and you get 98 = 7x

7x would be your equation, so divide 98 by 7 and you get your solution

x = 14 is your answer

3 0
3 years ago
Read 2 more answers
What is the answer to -x/2+5=-1
podryga [215]
The answer to the problem is x=7. Here is the work:

5 0
3 years ago
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