Answer:
4000
Step-by-step explanation:
A=P(2)^(t/d)
A=future amount
P=starting amount
t=time elapsed
h=doubling time
given
P=10^3
t=6
d=2
A=10^3(2)^(6/2)
A=10^3(2)^2
A=10^3(4)
A=4*10^3
A=4000
4000 bacteria
V=LWH (multiply the length, width and height)
So plug in the numbers, V=6x14x10=840 ft^3 (feet cube)
Answer:
Step-by-step explanation:
We see f(x) increase is linear and is 6 at each step, so m = 6 and y-intercept is b = -5, from point (0, -5)
<u>So the function is:</u>
Answer:
x = 7
Step-by-step explanation:
To solve:
Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.
Next distribute -2 among everything in the second parentheses. You'll get
-2x - 2.
<u>All together: 5x - </u><u>15</u><u> </u><u>-</u><u>2x </u><u>-</u><u> </u><u>2</u><u> </u><u>= 4</u>
Now combine like terms:
5x - 2x = 3x and -15 - 2 = - 17
<u>All</u><u> </u><u>together</u><u>: 3x -</u><u> </u><u>17 = 4</u>
Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.
________________________________
Last, don't forget to check your work.
You can plug in 7 for x to get:
5(7 - 3) = 20
5 × 7 = 35
5 × -3 = -15
35 - 15 = 20
-2(7 + 1) = -16
-2 × 7 = -14
-2 × 1 = - 2
-14 -2 = -16
<u>20 - 16 = 4</u>
⬆⬆⬆Therefore this is correct.
Sorry this is a bit lengthy, but hope this helps :)
Answer:
GCF 4, LCM 80
Step-by-step explanation:
Since both 16 and 20 have two 2s as factor, their greatest common factor is 4.
The LCM is found by multiplying all of the remaining factors by the LCM:
16 still has (2 x 2), 20 still has (5), times the GCF (4) so 2 x 2 x 5 x 4 = 80.
