Hello!
I believe the number that can be written in the blank space above is 6.
48+54=6'(8+9)
The number written in the blank space is 6 because when you divide 48 and 54 by their numbers, 8 and 9, you will get an answer of 6 for both numbers.
48/8=6
54/9=6
So the number in the blank space would be 6.
I hope this helps!
Answer:
(a)
(b)5,832 Mosquitoes
(c)5 days
Step-by-step explanation:
(a)Given an original amount 
at t=0. The population of the colony with a growth rate 
, where k is a constant is given as:
(b)If 
and the population after 1 day, N(1)=1800
Then, from our model:
N(1)=1800
Therefore, our model is:
In 3 days time
The population of mosquitoes in 3 days time will be approximately 5832.
(c)If the population N(t)=20,000,we want to determine how many days it takes to attain that value.
From our model
In approximately 5 days, the population of mosquitoes will be 20,000.
Answer:
h = 2
Step-by-step explanation:
I'm assuming your periods are multiplication signs.
(h + h) X (h X h) = 16
When adding two variables like the first set of parentheses, it would become 2h. When multiplying two like variables, you add the exponents. h is the same as writing h¹. So h¹ x h¹ gives you the answer of h².
So now your equation would look like:
2h X h² = 16
As above, when you multiply two like variables you would add the exponents. Also if any number are in front of the variable you would multiply those numbers. So you have 2h¹ x 1h² and that would be 2h³. If it had been
2h¹ x 2h², your answer would have been 4h³.
But so far you have 2h¹ x 1h² = 16
2h³ = 16
Dividing both sides by 2 you get
h³ = 8
To find h you have to take the cubed root of 8. What number multiplied by itself 3 times gives you 8? 2 x 2 x 2 = 8 2 x 2 = 4 and x 2 = 8.
h = 2
If you put this into the original equation you have:
(2 + 2) x ( 2 x 2) = 16
( 4 ) x ( 4 ) = 16
Answer:
So you can cancel out the 16. See, the -16 is negative, and if we add +16 to it, then it cancels out and is 0. That way, you have x=1.
Step-by-step explanation:
-16x+x=-15
+16x +16
0+x=1
x=1
