Answer:
x=2ln(2)/(2ln(2)-ln(3))
Step-by-step explanation:
ln(4^x-1)=ln(3^x)
(x-1)ln(4)=ln(3^x)
(x-1)ln(4)=xln(3)
ln(4)x-ln(4)=xln(3)
ln(4)x=ln(3)x+2ln(2)
2ln(2)x-ln(3)x=2ln(2)
(2ln(2)-ln(3))x=2ln(2)
Therefore, x=2ln(2)/(2ln(2)-ln(3))
Answer:
bottom graph of left picture
Step-by-step explanation:
For each day he makes his bed, he earns $0.50
In 1 day he earns $0.50
In 2 days he earns $1.00
In 3 days, he earns $1.50
...
In 8 days, he earns $4.00
Look in the 4 graphs.
Which graph has the following points, (1, 0.5), (2, 1), 3, 1.5), ... , (8, 4)?
It is the second graph (bottom graph of left picture.)
Answer:
-3
Step-by-step explanation:
The common ratio of a geometric sequence is the number that each term of the sequence is multiplied by. This means that the the previous term is multiplied by the common ratio to get the current term. The common ratio can also be used to create a function that can predict future terms.
To find the common ratio of this sequence, divide a term by the previous term. For example, -15/5. This gives the answer, -3. Dividing the terms allows us to figure out what factor is being multiplied by in the sequence.
Answer:
2758 Nm
Step-by-step explanation
Work done usually depends on two things force applied and distance travelled due to applied force. In this current scenario, the force is being applied at an angle so we will have to find a component of force in the direction of the movement.
We usually find component using cos θ.
Here θ is 40°
Now, the modified equation becomes,
Work Done = Force * Distance * Component of force along the direction of distance
∴ Work = 30 N * 120 m * Cos 40°
⇒Work = 30 * 120 * 0.766
⇒Work = 2757.6 Nm
Rounding to the nearest whole number.
∴ The work done by force is 2758 Nm which is option B
<span>9c+(8+3c)
9c+8+3c (collect like terms)
9c+3c+8
12c+8
12c+8 is the answer.
im not sure if your teacher also wants the answer to be in simplest form so im going to do that below as well:
12c+8 (4*3=12 and 4*2=8. you can take out a 4 from those 2 numbers)
4(3c+2) (this is the simplest form of </span>9c+(8+3c)<span>)
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