Answer:
Step-by-step explanation:
A proportional relationship has equation:
where k is the constant of proportionality.
Since we are looking for a proportional relationship that has a constant of proportionality equal to -10, we have k=-10.
We substitute k=-10 into the equation to get:
Therefore the correct choice is
C. The Tetrahhedron has 4 faces, all of which are triangles. It also has four vertices and six edges.
Answer:
35 people in each
Step-by-step explanation:
105÷3=35
Answer:
Let's try to find a linear relation like:
T(h) = a*h + b
where a is the slope and b is the y-intercept.
h is the number of hours after midnight.
T is the temperature at the time defined by h.
We know that at midnight, the temperature is 12.8°F.
At midnight, we have h = 0, then:
T(0) = a*0 + b = 12.8°F
b = 12.8°F
Now we know that our function is:
T(h) = a*h + 12.8°F
We also know that the temperature fell 1.4 °F each hour for six hours.
Then the slope will be -1.4°F
We can write the linear relationship as:
T(h) = -1.4°F*h + 12.8°F (for 0 ≤ h ≤ 6)
Where we have a restriction in the possible values of h, because we know that this model only works for six hours after midnight,
Here, we are required to determine after how many minutes will the two substances be at the same temperature.
The equation of when the two substances will be at the same temperature and the solution are as follows;
(a) The equation is 96.2 + 1.5(x) = 98.5 + 0.8(x).
(b) The solution is, x = 3.285minutes.
For substance A which is currently at 96.2° and rising at 1.5° each minute; It's temperature after x minutes is given as;
For substance B which is currently at 98.5° and rising at 0.8° each minute; It's temperature after x minutes is given as;
(a) For the two substances to be at the same temperature; T(a) must be equal to T(b).
The equation is therefore;.
96.2 + 1.5(x) = 98.5 + 0.8(x)
(b) To determine the solution;
1.5x - 0.8x = 98.5 - 96.2
0.7x = 2.3
x = 2.3/0.7
x = 3.285minutes.
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