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faust18 [17]
4 years ago
9

A spherical balloon is inflated with a gas at the rate of 500 cm3/min. How fast is the radius of the balloon increasing at the i

nstant the radius is 30 cm? A. 5/(36pi)cm/min
B. 2/(18pi)cm/min
C. 4/(9pi)cm/min
D. 7/(24pi)cm/min
Mathematics
1 answer:
Burka [1]4 years ago
7 0

The volume of the sphere is expressed in the formula V = 4/3 pi r^3. The rate of change of volume is determined by differentiating the formula: dV/dt = 4pi r^2 dr/dt. When we substitute 500 cm3/min as dV/dt and 30 cm as r. Then dr/dt is equal to 0.0442 cm/min
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15 POINTSSSS‼️‼️
Olenka [21]

Answer:

If the company produce and sell 'x' no. of thing-a-ma-bob , then

C(x) = $ (8809 + 2.05x)

R(x) = $ 4.92x

To make a profit the company must produce and sell at least 3070 thing-a-ma-bobs.

Step-by-step explanation:

If the company produces and sells "x" no. of thing-a-ma-bob, then,

the cost function is given by,

C(x) = $ (8809 + 2.05x) ------------------------(1)

The revenue function is given by,

R(x) = $ 4.92x -------------------------------------(2)

If C(x) = R(x), then,

4.92x = 8809 + 2.05x

⇒ 2.87x = 8809

⇒ x = \frac {8809}{2.87}

⇒ x \simeq 3069.34

So, to make a profit the company must produce and sell at least 3070 thing-a-ma-bobs.

6 0
4 years ago
5. What is the length of side a? Please help
Elena-2011 [213]

Answer:

I a pretty sure it is 10

Step-by-step explanation:

but im not positive

6 0
3 years ago
A. 2x + 3+ - 10 = 8x +
svet-max [94.6K]

Answer:

x= -7/6

Step-by-step explanation:

Isolate the variable. Give brainliest. pls

7 0
3 years ago
Which ones apply please help
inysia [295]
Isosceles triangle =2 sides the same
180-100= 80
80÷2=40
40+40+100=180
Answer =40 

8 0
3 years ago
Add the reciprocal of 1 1/5 to the sum of the numbers (+1.25) and (−1 3/4 ).
jeka94
To find the reciprocal of a mixed number, we first convert it to an improper fraction.  1 1/5 = 5/5 + 1/5 (remember that 1 whole would have the same numerator and denominator) = 6/5.
The reciprocal is this number flipped, so 5/6.
To find the sum of 1.25 and -1 3/4, we will convert the decimal to a fraction. 0.25 is read as "twenty-five hundredths," so the fraction would be 25/100.  This will simplify to 1/4, so 1.25 = 1 1/4.
1 1/4 + -1 3/4 = -2/4 = -1/2.
Now we add 5/6 + -1/2:
Find the least common denominator (LCD).  6 is the first number that both 6 and 2 will divide into evenly.  This gives us 5/6 + -3/6 (we multiply 2 by 3 to get 6, so we multiply the numerator, -1, by 3 as well).  This equals 2/6 which simplifies to 1/3.
3 0
3 years ago
Read 2 more answers
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