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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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janet completed 8 math problems in 10 minutes. How long per question did janet spend(in minutes and seconds)?
Dominik [7]
It would take 1.25 minutes to complete each problem because 10 divided by 8 equals 1.25
5 0
3 years ago
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Which of the following is equivalent to (a + b) (a/b)
cestrela7 [59]

Answer:

\frac{a^{2} +  ab }{b}

Step-by-step explanation:

(a + b) * (\frac{a}{b}) = \frac{a * (a+b)}{b} = \frac{a^{2} +  ab }{b}

7 0
3 years ago
A 555-mile, 5-hour plane trip was flown at two speeds. For the first part of the trip, the average speed was 105 mph. Then the t
Pepsi [2]

Answer:

Hence Distance traveled at speed 115 mph is <u>345 miles</u> and Distance traveled at speed 105 mph is <u>210 miles</u>.

Step-by-step explanation:

Given:

Total Distance = 555 mile

Total time = 5 hour

Let time taken to travel at 115 mph be t

So Time taken to travel at 105 mph will be equal to difference between Total time and  time taken to travel at 115 mph.

Time taken to travel at 105 mph = 5-t

Distance traveled in speed 105 mph will be equal to speed multiplied by time taken to travel at 105 mph.

Framing in equation form we get;

Distance traveled in 115 mph = 115t

Also;

Distance traveled in speed 105 mph will be equal to speed multiplied by time taken to travel at 105 mph.

Framing in equation form we get;

Distance traveled in 105 mph = 105(t-5) = 105t - 525

Now Total Distance traveled is equal sum of Distance traveled in 115 mph and Distance traveled in speed 105 mph

115t-(105t-525)=555\\\\115t-105t+525=555\\\\10t+525=555\\\\10t=555-525\\\\10t=30\\\\t=\frac{30}{10}=3

Time taken to travel at 115 mph = 3 hrs.

Time taken to travel at 105 mph = 5-t=5-3=2\ hrs

Now Distance traveled in 115 mph = 115t = 115 \times 3 = 345\ miles

Distance traveled in 105 mph = 105(5-t) = 105(5-3)= 105\times 2 = 210\ miles

Hence Distance traveled at speed 115 mph is <u>345 miles</u> and Distance traveled at speed 105 mph is <u>210 miles</u>.

6 0
3 years ago
Distinguish between expressions and equations algebraically by providing an example of an algebraic expression and an example of
Morgarella [4.7K]
X^3-2x is an algebraic expression.  Note that there is NO "=" sign here.

x^4 + 4x^2 + 4 = 0 is an algebraic equation.  Note the presence of an "=" sign.
7 0
3 years ago
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The owner of a new restaurant wants to have seating for more than 75 people. There is currently a
hoa [83]

There are 3 seats currently, and there will be 4m extra seats if he buys m tables.

So, buying m tables give a total of 4m+3 seats.

If we want this total to be at least 75, we have

4m+3\geq 75 \iff 4m\geq 72 \iff m\geq 18

6 0
4 years ago
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