a bookshelf is 14 inches wide.there is enough space to fit 2 trophies one trophy is 2 inches wider than the other. how wide is t
2 answers:
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Answer:
T = 3.967 C
Step-by-step explanation:
Density = mass / volume
Use the mass = 1kg and volume as the equation given V, we will come up with the following equation
D = 1 / 999.87−0.06426T+0.0085043T^2−0.0000679T^3
= (999.87−0.06426T+0.0085043T^2−0.0000679T^3)^-1
Find the first derivative of D with respect to temperature T
dD/dT =
Let dD/dT = 0 to find the critical value we will get
= 0
Using formula of quadratic, we get the roots:
T = 79.53 and T = 3.967
Since the temperature is only between 0 and 30, pick T = 3.967
Find 2nd derivative to check whether the equation will have maximum value:
Substituting the value with T=3.967,
d2D/dT2 = -1.54 x 10^(-8) a negative value. Hence It is a maximum value
Substitute T =3.967 into equation V, we get V = 0.001 i.e. the volume when the the density is the highest is at 0.001 m3 with density of
D = 1/0.001 = 1000 kg/m3
Therefore T = 3.967 C
Answer:
30,000,000
Step-by-step explanation:
You are given the number 8,531,980,112.45.
Look at attached place value chart.
If we go to the left from decimal point, then we have
- ones;
- tens;
- hundreds;
- thousands;
- ten thousands;
- hundred thousands;
- millions;
- ten millions;
- and so on.
Digit 3 in the number 8,5 <u>3</u> 1,980,112.45 is on ten millions position, so the value of this digit is 30,000,000
