The total mass, in kilograms, of the nails the carpenter bought is 3.9 kilogram
<h3><u>Solution:</u></h3>
Given that carpenter bought 750 nails
Each nail has a mass of 
kilogram
To find: total mass, in kilograms of the nails bought
The total mass of the nails bought can be found out by multiplying number of nails bought by mass of each nail
Number of nails bought = 750
Mass of each nail = kilogram
total mass of the nails bought = number of nails bought x mass of each nail
Thus the total mass of nails bought is 3.9 kilogram
Answer:
5 amperes will produce the maximum power
Step-by-step explanation:
The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c)= -12c^2 + 120c.
To find out the maximum power we need to find the vertex
formula to find x -coordinate of vertex is 
P(c)= -12c^2 + 120c is given in the form of y=ax^2+bx+c
a= -12, b = 120
c= 5 amperes will produce the maximum power
F(-2) is the f(x) when x is -2. From the table, it is 1.
Answer:
Answere is X= 8
Step-by-step explanation:
Use sine law
Sin(angle) = Opposite/ Hypotenuse
Sin (30) = 4 /X
X = 4 / sin (30)
X = 8
Answer:
679
Step-by-step explanation:
The goal of this exercise is to find a three digit number given five statements.
1 - We can conclude that two digits out of 964 are correct but in the wrong place.
2 - One digit out of 147 is correct, but in the wrong place
3 - One digit out of 189 is correct and in the right place. Since 1 is on the same place in 147 and 189, 1 is not the correct digit. The correct digit is either 8 or 9.
4 - One digit out of 286 is correct, but in the wrong place. Since 8 is on the same place in 189 and 286, 8 is not the correct digit. We can then conclude that 9 is correct (statement 3) and in the right place (third) and that either 2 or 6 are correct but in the wrong place.
5 - 523 are all wrong. We can then conclude that 6 is correct and that is not in the third or second place, which leaves it in the first place.
If 1 and 4 are incorrect, from the second statement, we infer that 7 is the remaining correct digit at the second place.
Therefore the number is 679
