Answer:
The value of k remains constant for table 2
Step-by-step explanation:
Given tables of X values and Y values
To find which tables show the property of direct proportional:
Since Y is direct proportion to X
We write,
y=kx [Equation]
where k is constant of proportion.
Therefore, If the value of k remains constant for any table then, that table shows a direct proportion between y and x values.
For first table :
Now,
when x=1, y=3
Putting into Equation
y=kx
3=k(1)
k=3
Similarly, other calculations are carried out and put it into the form of a table
Note: Figure show tables of given and their respective k values.
Thus, the value of k remains constant for table 2
Answer:
Step-by-step explanation:
Eight
590 = 1800 e^(-0.4t) Divide by 1800
0.32778 = e^(-0.4t) Put the value for e in the denominator.
0.32778 = 1 / e^(0.4t) Notice the sign's gone. Multiply both sides by e^(0.4t)
0.32778 *e^(0.4t) = 1 Divide by 0.32778
e^(0.4t) = 3.0508 Take the natural log of both sides.
0.4t = 1.11542 Divide both sides by 0.4
t = 2.78855
You should put this in the original equation to see if it checks. It does.
=============================
Nine
3^(3 - 3x) + 6 = 42 Subtract 6 from both sides
3^(3 - 3x) = 36 Take the log of both sides.
(3 - 3x) ln(3) = ln 36
(3 - 3x) *1.098612 = 3.58352 Divide by 1.098612
3 - 3x = 3.26186 Subtract 3 from both sides
- 3x = 0.26186 Divide by - 3
x = - 0.087287
Answer:
good
Step-by-step explanation:
Answer:
12 =x
Step-by-step explanation:
We can use proportions to solve
6 x
---- = -------
10 10+10
Using cross products
6 ( 10+10) = x*10
6*20 = 10x
120 = 10x
Divide by 10
120/10 = x
12 =x
Answer:
C
Step-by-step explanation:
Using the rules of exponents
• 
× 
⇔ 
• 
⇔ 
Hence
= 
= 
, then
= 
= 
→ C
