Answer:
Weight on the moon=x=15.87 kilograms
Step-by-step explanation:
This can be expressed as;
Weight on earth=Constant×Weight on moon
where;
Weight on moon=14.2 kilograms
Constant=k
Weight on Earth=85 kilograms
Replacing in the expression above;
85=14.2×k
k=(85/14.2)=5.986
If the person weighs 95 kilograms on Earth;
Weight on the earth=Constant×Weight on moon
where;
Weight on the moon=x
Constant=5.986
Weight on the earth=95 kilograms
Replacing;
95=5.986×x
x=95/5.986=15.87
Weight on the moon=x=15.87 kilograms
Answer:
Step-by-step explanation:
Factor all the factors making up the square root.
108: 2*2*3*3*3
a^7: a*a*a*a*a*a*a
b^5:b * b * b * b * b
The rule for taking a square root of this is
For every pair, you get to take one number outside the root sign and throw the other one away.
2*3*a * a * a* b * b√(3*a * b)
6a^3b^2 * √(3*a*b)
Answer:
a) 
b) 
c) 
Step-by-step explanation:
<u>For the question a *</u> you need to find a polynomial of degree 3 with zeros in -3, 1 and 4.
This means that the polynomial P(x) must be zero when x = -3, x = 1 and x = 4.
Then write the polynomial in factored form.

Note that this polynomial has degree 3 and is zero at x = -3, x = 1 and x = 4.
<u>For question b, do the same procedure</u>.
Degree: 3
Zeros: -5/2, 4/5, 6.
The factors are

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<u>Finally for the question c we have</u>
Degree: 5
Zeros: -3, 1, 4, -1
Multiplicity 2 in -1

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Answer:
here is my working out to find answer, if u feel that the answer is wrong then do the reverse calculation by putting n value to the equation. hope u understood and stay safe!
Answer:

Step-by-step explanation:
Given

Required
Determine an equivalent expression
Express 81 as 

Apply law of indices






Hence:
