Answer:
The diameter decreases at a rate of -0.0477 cm/min when it is 10 cm.
Step-by-step explanation:
Surface area of a snowball:
A snowball has a spheric format, which means that it's surface area is given by:
In which r is the radius, which is half the diameter. In function of the diameter, the area is given by:
Solving the question:
To solve this question, we have to implicitly derivate the area in function of t. So
Snowball melts so that its surface area decreases at a rate of 3 cm2/min
This means that
Find the rate at which the diameter decreases when the diameter is 10 cm.
This is when . So
The diameter decreases at a rate of -0.0477 cm/min when it is 10 cm.
Answer:
$15.30
30% of 60 is 18
Step-by-step explanation:
To find the maximum amount he can spend on a meal, you have to find how much he is going to tip.
So to find the tip you multiply 15% by 18 and you get 2.7
Then you subtract 18 by 2.7 to find out how much he can spend on the meal.
18 - 2.7 = 15.30
So he can spend $15.30 on his meal and tip $2.70
To find what percent of 60 is 18, you have to use this equation:
is over of equals percent over 100
So is/of = x/100 We have the x as the percent because that's what you're trying to figure out.
You would put 18 as is because it has the word is before it and put 60 as of because it has of before it.
So 18/60 = x/100
Now you would do Cross Product Property
18*100 = 1800
60*x = 60x
60x = 1800
Now divide 60 by itself and by 1800
1800/60 = 30
x = 30%
235,236,237,238,239,241,242,243,244
The volume of a cylinder is:
V=hπr^2
Since we are placing a sphere with a radius of 4.3in within it, for the cylinder, r=4.3 and h=4.3*2=8.6, then the volume function becomes:
V=8.6π(4.3^2)
V=159.014π, and if we approximate π as 3.14 then:
V=159.014(3.14)
V=499.30396 in^3
V≈499.3 in^3 (to nearest tenth of a cubic inch)
<span>h(t) = 210 – 15t models the altitude of a hot air balloon over time t, in minutes
means that at time t min, the height h of the balloon is 210-15t (units)
for example,
at time t=1 min, the height of the balloon is 210-15*1=195 (units)
at time t=2 min, the height of the balloon is 210-15*2=210-30=180 (units)
Thus, h(10) is the height of the balloon at time t=10 min,
h(10)=210-15*10=210-150=60</span>