Step-by-step explanation:
Count the number of times you have to move the decimal point to the right until it is to the right of the 1st nonzero number.
a) You have to move the decimal point 11 times until it gets to the right of the 1st nonzero number, which is 7. You then rewrite this number as
The exponent of 10 is a negative number because you moved the decimal point to the right.
b) Similarly, you have to move the point 9 times to the right so the answer is
Answer:
Its degree can be at least 1970
Step-by-step explanation:
for each root of the form √q, where q is not a square, we have a root -√q. Therefore, we need to find, among the numbers below to 1000, how many sqaures there are.
Since √1000 = 31.6, we have a total of 30 squares:
2², 3², 4², ...., 30², 31²
Each square gives one root and the non squares (there are 1000-30 = 970 of them) gives 2 roots (one for them and one for the opposite). Hence the smallest degree a rational polynomial can have is
970*2 + 30 = 1970
Answer : The specific heat of the metal is, 
Explanation :
In this problem we assumed that heat given by the hot body is equal to the heat taken by the cold body.
where,
= specific heat of metal = ?
= specific heat of ice = 
= mass of metal = 1.00 kg
= mass of ice = 1.00 kg
= final temperature of mixture = 
= initial temperature of metal = 
= initial temperature of ice = 
Now put all the given values in the above formula, we get:
![(1.00kg)\times c_1\times (-8.88-5.00)^oC=-[(1.00kg)\times 2000J/kg^oC\times (-8.88-(-24.0))^oC]](https://tex.z-dn.net/?f=%281.00kg%29%5Ctimes%20c_1%5Ctimes%20%28-8.88-5.00%29%5EoC%3D-%5B%281.00kg%29%5Ctimes%202000J%2Fkg%5EoC%5Ctimes%20%28-8.88-%28-24.0%29%29%5EoC%5D)
Therefore, the specific heat of the metal is,
X^2 - x - 6 > 0
(x - 3)(x + 2) > 0
x < - 2 or x > 3
answer
x < - 2 or x > 3
117 degrees
The angles in a trapezoid add up to 360 degrees. 63 x 2 = 126
360 - 126 = 234
234/2 = 117
