Answer:
A. h = 4
B. g = 15
C. b = -6
D. b = 15
Step-by-step explanation:
A. 9h + 8 - 12 = -40
9h - 4 = -40
+ 4 + 4
9h = -36
h = -4
B. 9 + 6g + 1 = 100
10 + 6g = 100
- 10 - 10
6g = 90
g = 15
C. -45 = 28 - 13 + 10b
-45 = 15 + 10b
- 15 - 15
-60 = 10b
b = -6
D. 37 = 11 +3b - 19
37 = 3b - 8
+ 8 + 8
45 = 3b
15 = b
Answer:
Step-by-step explanation:
Let the 3 numbers be 4x , 5x and 6x
4x + 6x = 5x + 55
10x = 5x + 55 Subtract 5x from both sides.
<u> 5x 5x</u>
5x = 55 Divide by 5
x = 55/5
x = 11
Therefore the numbers are
3*11 = 33
4*11 = 44
5*11 = 55
The length of the support cable is about 29 feet.
If you sketch out the question, you will see that it will form a right triangle with the cable as the hypotenuse.
Just set up and use the Pythagorean Theorem.
15^2 + 25^2 = c^2
850 = c^2
29.15 = c
Answer:
At time t = 0.408 sec diver will be at maximum height
Step-by-step explanation:
We have given equation of the height 
We know that velocity is the rate of change of distance with respect to time
So 
At maximum height velocity will be zero
So 
t = 0.408 sec
So at time t = 0.408 sec diver will be at maximum height
Answer:
35 years
Step-by-step explanation:
The proportion p that remains after y years is ...
p = (1/2)^(y/5.27)
In order for 1/100 to remain (the level decays from 100 times to 1 times), we have ...
.01 = .5^(y/5.27)
log(0.01) = y/5.27·log(0.5) . . . take logs
y = 5.27·log(0.01)/log(0.5) ≈ 35.01 ≈ 35 . . . . years
