Answer:
3/48 or reduced 1/16
Step-by-step explanation:
1/3 x 3/4 = 3/48
Reduced:
3/48 ÷ 3/3 = 1/16
Only put the reduced fraction if it asks.
Hope this helps :)
<u>Solution-
</u>
A researcher placed a petri dish with 32,000 bacterial cells. One hour after being placed in the vacuum chamber, the number of cells in the petri dish had halved. Another hour later, the number of cells had again halved.
This can be represented as exponential decreasing function,

Where,
-
a = starting amount = 32000
- r = rate = 50% = 0.5 as the sample becomes halved in each hour
- x = hours
Putting the values,


y-intercept means, where x=0, so

The coordinate of this poin will be (0, 32000)
This means when x=0 or at the starting of the research, the number of bacteria cells was 32000.
After 3 hours, number of bacteria cells will be,



The coordinate of this point will be (3, 4000)
Answer:
388,800 ft^2.
Step-by-step explanation:
Scale = 1 : 180
Actual length, Ls = 180 × 4
= 720 ft
Actual width, Bs = 180 × 3
= 540 ft
Area of a rectangle = Ls × Bs
= 540 × 720
= 388,800 ft^2.
Answer:
There is no solution for the given radical equation.
x = 225/16 is an extraneous solution.
Step-by-step explanation:
The given equation is
Add 3 to both sides of the equation
Squaring both sides
Divide both sides by 16
Substituting back the value of x in original equation to check the extraneous solution.
Since -18≠ 12. Hence, the value of x does not satisfy the equation.
Therefore, x = 225/16 is an extraneous solution.
Step-by-step explanation:
Answer:
Fernando incorrectly found the product of –2 and –5.
Step-by-step explanation:
Fernando evaluated the numerator of the fraction incorrectly.
Fernando simplified StartFraction 20 over 2 EndFraction incorrectly.
Fernando incorrectly found the product of –2 and –5.
Fernando evaluated (negative 3) squared incorrectly.
Fernando's calculation
5(9-5) / 2 + (-2)(-5) + (-3)^2
= 5(4) / 2 - 10 + 9
= 20/2 - 10 + 9
= 10 - 10 + 9
= 9
Correct calculation
5(9-5) / 2 + (-2)(-5) + (-3)^2
= 5(4) / 2 + (10) + 9
= 20/2 + 10 + 9
= 10 + 10 + 9
= 29
Therefore,
Fernando's error was multiplying (-2)(-5) to be equal to -10 instead of 10
Fernando incorrectly found the product of –2 and –5.