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Class 11
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>>Errors in Measurement
>>You measure two quantities ...
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You measure two quantities as A=1.0m±0.2m, B=2.0m±0.2m. We should report correct value for
AB
as
Medium
Solution
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Correct option is
D
1.4m±0.2m
Here, A=1.0m±0.2m, B=2.0m±0.2m
AB=(1.0m)(2.0m)=2.0m
2
AB
=
2.0m
=1.414m
Rounding off to two significant figures, we get
AB
=1.4m
AB
ΔAB
=
2
1
(
A
ΔA
+
B
ΔB
)=
2
1
(
1.0
0.2
+
2.0
0.2
)=
2
0.3
Δ
AB
=
2
0.3
×
AB
=
2
0.3
×1.414=0.212m
Rounding off to one significant figure, we get
Δ
AB
=0.2m
The correct value for
AB
is 1.4m±0.2m
The side length is about 17.916
The expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).
<h3>What is the equivalent expression?</h3>
Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The expression given in the problem is
f(x)=-4x³+x²-6x+8
The option given as,
- (1) x² (-4x+1)-2(3x-4)
- (2) x(-4x²- x + 6) + 8
- (3) -4x³ + (x - 2)(x - 4)
- (4) -4(x³ - 2) + x(x - 6)
From the given expression, if we take out <em>x </em>from the first three terms, it looks like option 2.
f(x)=-4x³+x²-6x+8
f(x)=x(-4x²+x-6)+8
From the given expression, if the last three terms factored, it looks like option 3.
f(x)=-4x³+x²-6x+8
f(x)=-4x³+x^2-4x-2x+8
f(x)=-4x³+x(x-4)-2(x-4)
f(x)=-4x³+(x-4)(x-2)
Rearrange the given expression, and make it looks like option 4.
f(x)=-4x³+x²-6x+8
f(x)=-4x²+8+x²-6x
f(x)=-4(x³-2)+x(x-6)
Thus, the expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).
Learn more about the equivalent expression here;
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Can’t do it need more information
Answer:
Let the measure of the complementary angle be x so that the measure of the other angle is 14x. The total measure of the angles is 180 degrees.
