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.
1/3 ÷1/4 = 1/3 × 1/4 = 1/12
Answer:
<h3>55 secs</h3>
Step-by-step explanation:
Given the elevation h (in feet) of the balloon modeled by the function h(x)=−6x+330, we can calculate the time it takes the balloon to reach the ground. The hot air balloon hits the ground at h(x) = 0.
Substitute h(x) = 0 into the modeled expression and find x as shown;
h(x)=−6x+330
0 = −6x+330
6x = 330
Divide both sides by 6
6x/6 = 330/6
x = 55 seconds
Hence the hot air balloon hits the ground after 55 seconds
5x + 9 = x - 23
move x to the other side
sign changes from +x to -x
5x-x+9= x-x-23 ( combine like terms)
5x-x+9= -23
4x+9= -23
move -9 to the other side
4x+9-9= -23-9
4x= -23-9
4x= -32
divide both sides by 4 to get x by itself
4x/4= -32/4
answer:
x= -8
