Answer:
y = 10852 bacteria
Step-by-step explanation:
The equation is exponential growth
y = a b^x where a is the initial amount , b is the growth rate and x is the time
At time 0, we have 5000 bacteria
5000 = a * b^0
5000 = a *1
a = 1
At 4 hours, we have 6000 bacteria
6000 = 5000 * b^4
Divide each side by 5000
6000/5000 = b^4
6/5 = b^4
Take the 4th root of each side
(6/5)^(1/4) = (b^4)^(1/4)
1.046635139 = b
Our equation is
y = 5000 (1.046635139) ^ x
We want to find the number of bacteria present after 17 hours
y = 5000 (1.046635139)^17
y=10851.51313
To the nearest whole number
y = 10852 bacteria
Answer:
lines ab and ef
Step-by-step explanation:
they are the same length, this what congruent means
Answer:
a = 7, b = 24 if quadrant 1
a = -7, b = -24 if quadrant 2
Step-by-step explanation:
Tan theta = sin(theta) × sec(theta)
a/24 = (7/25) × (25/b)
ab = 168
a = 168/b
1 + tan²(theta) = sec²(theta)
1 + a²/576 = 625/b²
1 + 168²/576b² = 625/b²
1 = 576/b²
b = 24 (+ or -)
a = 168/24 = 7 (+ or -)
The same value as cosα
cosα=sin(90-α) and vice versa
sinα=cos(90-α)
0.5 meters in 50 centimeters because there are 100 centimeters in 1 meter. so 100/50 is 50 which is a half or 0.5.
630 centimeters in 6.3 meters. 6.3*100=630