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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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Which expression is equivalent to 4(6 + 8)? (1 point)
Makovka662 [10]

Answer:

C. 24 + 32

Step-by-step explanation:

Step 1 - Distribute

4 • 6 = 24

4 • 8 = 32

24 + 32

6 0
3 years ago
Evaluate each function following the specification.
telo118 [61]

Answer:

#3 a. g(-1) = 2, g(0) = 3, and g(1) = 2

b. No restrictions for all real numbers

\#4 \  a. \ h(-1) = \dfrac{1}{3}, \  h(0) =0, \  h(2) =  \infty

b. Yes, <em>x ≠ 2</em>

Step-by-step explanation:

#3 The function is given as g(x) = -x² + 3

a. From the given function, by plugging in the value of 'x' in the bracket, we have;

g(-1) = -(-1)² + 3 = -1 + 3 = 2

g(-1) = 2

g(0) = -0² + 3 = 3

g(0) = 3

g(1) = -1² + 3 = -1 + 3 = 2

g(1) = 2

g(-1) = 2, g(0) = 3, and g(1) = 2

b. The given function g(x) = -x² + 3 for finding the value of <em>g</em> can take any value of <em>x</em> which is a real number

Therefore, therefore, there are no restrictions

#4 a. The given function is given as follows;

h(x) = \dfrac{x}{x - 2}

By substitution, we get;

h(-1) = \dfrac{-1}{(-1) - 2} = \dfrac{-1}{-3} = \dfrac{1}{3}

\therefore h(-1) = \dfrac{1}{3}

h(0) = \dfrac{0}{0 - 2} = \dfrac{0}{-2} =0

\therefore h(0) =0

h(2) = \dfrac{2}{2 - 2} = \dfrac{2}{0} = \infty

\therefore h(2) =  \infty

h(-1) = \dfrac{1}{3}, \  h(0) =0, \  h(2) =  \infty

b. From the values of the function, we have that h(x) is not defined at x = 2

Therefore, there is a restriction for <em>x</em> in the function, which is <em>x ≠ 2</em>

3 0
3 years ago
Please quick You purchase a car using a $15,000 loan with a 5% simple interest rate.
Murljashka [212]

Answer:

a) $3000

Step-by-step explanation:

a)

interest = Principal x rate as decimal x time

interest = 15,000 x 0.05 x 4

interest = 3000

5 0
3 years ago
Why might you want to round to the nearest hundred rather than the nesrest ten
Ipatiy [6.2K]
I would want to round to the nearest hundred place rather than the nearest tens place because if you round to the nearest hundred place then your answer would be closer to the original answer.
6 0
3 years ago
Jana paid a $75 initial fee to join a sports club and a monthly fee of $14 per month. Write an expression that shows how much Ja
kozerog [31]

Answer:

y=14x+75 where y is equal to 14x+75. Hope this helps.

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
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