A typical exponential function is y=a
when x=3.5, y=16.2
when x=6, y=3936.6
plug these values into the exponential function:
16.2=a
3936.6=a
divide the second equation by the first to eliminate a:
243=
log both sides: log243=2.5logb
logb=log243/2.5
use your calculator to find b: b=3.6
plug b=3.6 in the first equation to find a:
16.2=a
a=0.183
please double check my calculation
Answer:
3
Step-by-step explanation:
A ball is 10 meters. Since 100 centimeters are in a meter, each ball has 100*10 = 1000 centimeters.
The teacher needs 70 strings each 40 centimeters. The total amount they need is 70*40 = 2800 centimeters.
Since a ball has 1000 centimeters, 2800 centimeters will need 3 balls for a total of 3000 centimeters.
Answer:
Step-by-step explanation:
6/x^2 + 2 x = 7
2 x^3 - 7 x^2 = -6 (for x!=0)
(2 (x^3 - 3 x^2 + 3))/x^2 = 1
Answer:
Step-by-step explanation:
It is two types of function.
- Exponential Growth: If function increase as value of x increase.
In this case, a>0 and b>1
- Exponential decay: If function decrease as value of x increase.
In this case, a>0 and 0<b<1
We need to choose exponential growth function.
Here a=0.75>0 and b=5>1
Therefore, This function is exponential growth.
Given: m ∠3 = m ∠4
To Prove: ∠1, ∠2 are supplementary .
Proof : m ∠3 = m ∠4 ( Given) ------------(1)
m<2 + m< 3 = 180 degrees ( <2 and <3 form a linear pair). ----------(2)
m< 4 = m<1 (Vertical angles are equal) -----------(3).
Substituting, m<4 =m<1 in (1), we get
m ∠3 = m ∠1.
Now, substituting m ∠3 = m ∠1 in (2), we get
m<2 + m< 1 = 180 degrees.
Sum of m <1 and m<2 is 180 degrees.
Therefore,<em> ∠1, ∠2 are supplementary by the defination of supplementary angles.</em>
