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:
A. The tree starts at 0 and increases by 1 every year. The height starts at 5 and increases by 1 every year.
Step-by-step explanation: 5 for the first year, 6 for the second year, 7 for the third year etc.
Answer:
Step-by-step explanation:
x=180-59-41
x=80
Answer:
x to the third power is x cubed or x^3.
To solve this problem, we have to use the area of both gauze or the dimensions on each gauze and compare them. we can see that the sheets are not similar as they have different areas.
<h3>Area of Rectangle</h3>
The area of a rectangle is given as the product between the length and it's width.
Data;
- Length = 9in
- Area = 45in^2
- width = ?
- length 2 = 4in
- width 2 = 3in
In the first gauze, the area is given as 45in^2 and we have value of the length. To find the width of the first gauze can be calculated as
We can see that the width are not equal so is their length.
But if we would truly compare them, the accurate way to do that is by their area
The area of the second gauze is given by
From the above calculations, we can see that the sheets are not similar as they have different areas.
Learn more on area of a rectangle here;
brainly.com/question/25292087
