Answer:
Option C
Step-by-step explanation:
Given expression in the question is,
y = 
To get the value of t,
Take the log on both the sides of the expression,
log(
) = ![\text{log}[(2^{\frac{t}{30}})]](https://tex.z-dn.net/?f=%5Ctext%7Blog%7D%5B%282%5E%7B%5Cfrac%7Bt%7D%7B30%7D%7D%29%5D)
log() = 
t = 
t = ![30[\text{log}_2(\frac{y}{7})]](https://tex.z-dn.net/?f=30%5B%5Ctext%7Blog%7D_2%28%5Cfrac%7By%7D%7B7%7D%29%5D)
[Since, 
]
Therefore, Option C will be the answer.
<span>Answer:
K = (1/2) mv² + (1/2) Iω², where m is the ball mass, I is the ball's moment of inertia (2/5)mr², and ω is the angular velocity of the ball. Because the ball rolls without slipping, it is easy to see that v=ωr, or r=v/ω. Then,
K = (1/2)mv² + (1/2)(2/5)mr²ω²
= (1/2)mv² + (1/5)mv²
= (7/10)mv²
Setting potential at the top equal to kinetic at the bottom,
mgh=(7/10)mv²
v=âš{(10/7)(gh)}
= [(10/7)(9.8)(0.51)]^(1/2) = 2.672m/s</span>
Answer:472640
Step-by-step explanation:
Increase=112/100×422000
=472640
Answer:
x = 26
Step-by-step explanation:
The three angles form a straight line, so they will sum to 180
4x - 8 + 34 + 76- x = 180
Combine like terms
3x+ 102 = 180
Subtract 102 from each side
3x+102-102 = 180-102
3x= 78
Divide each side by 3
3x/3 = 78/3
x = 26
1. The two triangles are similar because the two pairs of angles are equal, therefore the third angles of both triangles must also be equal.
We can call this the AAA similarity criterion
2. To find QR, we must use ratios between 2 known similar sides of both triangles,
So, QR =1.02
