Answer:
D) 12
Step-by-step explanation:
divide each term by -8 and simplify
-8/-8x=-96/-8
x=12
Answer:
Step-by-step explanation:
The formula for the Newton's method is:
Where 
is the first derivative of the function evaluated in 
.
Lastly, the value of 
is determined by replacing 
with its numerical value:
Answer:
The density of cube is 6.17959 
Step-by-step explanation:
The density is given by ration of a mass of body and volume occupied by a body.
Where,
is density.
m is mass of a body
V is the volume of a body
Given that one side of the cube is 0.53cm
Hence, the volume of a body is V=
=0.148877
Now, the Density of the cube will be
Thus, The density of cube is 6.17959
Answer:
(900 ÷ 4) x 10 -200 = 2050 And this will equal last Summer's earnings
Step-by-step explanation:
So we know that 900$ is equal to 40% and that we can simplify this
900 ÷ 4 = 225
40% ÷ 4 = 10%
Therefore:
225 = 10% and
2250 = 100% of earnings
Answer:
1. x⁴³/³⁵
2. 1/x⁶
3. x⁴/2
Step-by-step explanation:
1. ⁷√x³. ⁵√x⁴
The above expression can be simplified as follow:
Recall:
ᵐ√aⁿ = aⁿ/ᵐ
⁷√x³ × ⁵√x⁴ = x³/⁷ × x⁴/⁵
Recall:
aⁿ × aᵐ = aⁿ⁺ᵐ
x³/⁷ × x⁴/⁵ = x⁽³/⁷ ⁺ ⁴/⁵⁾ = x⁴³/³⁵
Therefore,
⁷√x³. ⁵√x⁴ = x⁴³/³⁵
2. x¯³ / x⁵x¯²
The above expression can be simplified as follow:
Recall:
aⁿ × aᵐ = aⁿ⁺ᵐ
x⁵x¯² = x⁵ ⁺ ⁽¯²⁾ = x⁵ ¯ ² = x³
Thus,
x¯³ / x⁵x¯² = x¯³ / x³
Recall:
aⁿ / aᵐ = aⁿ ¯ ᵐ
x¯³ / x³ = x¯³ ¯ ³ = x¯⁶
Recall
a¯ⁿ = 1/aⁿ
x¯⁶ = 1/x⁶
Therefore,
x¯³ / x⁵x¯² = 1/x⁶
3. 5(x⁴)³ / 10x⁸
The above expression can be simplified as follow:
Recall:
(aⁿ)ᵐ = aⁿ×ᵐ
5(x⁴)³ / 10x⁸ = 5x¹² / 10x⁸
Recall:
aⁿ / aᵐ = aⁿ ¯ ᵐ
5x¹² / 10x⁸ = (5/10)x¹² ¯ ⁸ = 1/2 x⁴ = x⁴/2
Therefore,
5(x⁴)³ / 10x⁸ = x⁴/2
