Answer:
The correct answer is:
we cannot take an even root of a negative number in the real number system.
Explanation:
A rational exponent is another way of writing a root. The denominator of the rational exponent will be the root, and the numerator will be the power of the number under the root. If the denominator is even, this means we are taking an even root, such as square root, 4th root, etc.
If the base is negative, this means we want an even root of a negative number.
Any even root can be broken down into a series of square roots, done one after another.
However, we cannot take the square root of a negative number using real numbers; this is because a square root is a number multiplied by itself to get the answer; a negative times a negative is a positive, as is a positive times a positive, so there is no way to multiply the same number twice and get a negative.
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Step-by-step explanation:
X represents the number that would be added to the silver cars.
x/40= 4
X=40x4
x=160
Subtract the given 20 from 160 because 160 is the total number
160-20=140
Therefore 140 would be added to 20 silver cars to get the ratio1:4
Answer:
49N
Step-by-step explanation:
Step one
Given
When the force of 63 N acts on a certain object
the acceleration of the object is 9/ms^2
Firstly, we need to calculate the mass m
F=ma-------1
m= F/a
m= 63/9
m= 7kg
Step two:
Also, if the acceleration of the object becomes 7 m/s^2
then the force
Note: the mass remains the same= 7kg
F=ma
F=7*7
F= 49N
Answer:
0.3
Step-by-step explanation:
The Formula of the relation is M = 8AT.
The mass of the metal sheet is 960 g.
The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).
Proportionality:
Removing the proportionality sign,
Where:
- K = constant of proportionality.
make K the subject of the equation:
- K = M/KT.................... Equation 1
From the question,
Given:
- M = 200 g
- A = 250 cm²
- T = 1 mm = 0.1 cm
Susbtitute into equation 1
- K = 200/(250×0.1)
- K = 8 g/cm³
Formula:
- M = 8AT................. equation 2
Hence the formula of the relation is M = 8AT
If,
- A = 400 cm²
- T = 3 mm = 0.3
Substitute these values into equation 2
Hence, the mass of the metal sheet is 960 g
Learn more about joint variation here: brainly.com/question/26047253