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MA_775_DIABLO [31]
3 years ago
6

The volume of a spherical balloon is increasing at the rate of 25cm^3/min, how fast is the radius increasing when the radius is

equal to 20cm?
Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0

Answer:

V=4/3πr^3;S=4πr^10;dV/dt=dV/dr×dr/dt=4πr^10×dr/dt;dS/dt=dS/dr×dr/dt=8πr×dr/dt=2/r×dV/dt;当r=10cm时,dS/dt=50cm^2/s

Step-by-step explanation:

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A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectil
Furkat [3]

Answer:

t = 5.25 seconds

Step-by-step explanation:

Given that,

A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectile is modeled using the equation:

h(t)=-16t^2+48t+190

It is assumed to find the time when the projectile will hit the ground. When the projectile hit the ground, its height is equal to 0 such that,

-16t^2+48t+190=0

It forms a quadratic equation such that,

t=\dfrac{-b+\sqrt{b^{2}-4ac } }{2a},\dfrac{-b-\sqrt{b^{2}-4ac } }{2a}\\\\t=\dfrac{-48+\sqrt{(48)^{2}-4\times (-16)(190) } }{2\times (-16)},\dfrac{-48-\sqrt{(48)^{2}-4\times (-16)(190) } }{2\times (-16)}\\\\t=-2.25, 5.25

So, the projectile will hit the ground at t = 5.25 seconds.

3 0
3 years ago
Read 2 more answers
HELP ASAP ROCKY!!!!!!
vekshin1

Answer:

32.5

Step-by-step explanation:

there are 4 rows

1  = 3

2 =  5

3 =  2

so there is 10 numbers

We go for the middle number which is 2-3 so the answer must be 32.5.

We know it is between 2-3 as the same as 1-10

1,2,3,4,5, ------ 6,7,8,9,10

So the imput numbers are listed 2 + 3 in your stem diagram where so 5 + 6 would be in the explanation. As 10 +1 = 11  then 11/2 = 5.5  - this means 5.5 = 32.5 as 33 would be the 6.

8 0
3 years ago
Read 2 more answers
Compare 6x10 to the 10 power to 3x10 to the 6 power
Serhud [2]
6*10^10 would equal 60000000000 and 3*10^6 would equal 3000000





hope this helps
6 0
3 years ago
Read 2 more answers
PLS HELP ASAP!!!!!!!!!!!!!!
Likurg_2 [28]
The IQR is the difference between Q3 and Q1.
First we need to get the data from the stem and leaf plot:
10, 23, 23, 28,]   [33, 45, 80, 90
Since there are 8 data items Q1 would be the median of the lower half (4 items), both are 23 so Q1 is 23.
Q3 is the median of the upper half, since the middle numbers are not the same we need to average 45 and 80. (45 + 80)/2 = 62.5 so Q3 = 62.5
IQR = 62.5 - 23 = 39.5

7 0
3 years ago
A. (x, y) = (x + 6, y)
svet-max [94.6K]

Answer:

i don't know, you need to tell us what we need to do

Step-by-step explanation:

5 0
2 years ago
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