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Marat540 [252]
3 years ago
12

Evaluate the expression. Drag the answer into the box to match the expression.

Mathematics
2 answers:
Lelu [443]3 years ago
5 0

27.((3^{3})^{-1}  = 27.(27)^{-1} = 27 .\frac{1}{27} = 1

This is because 3^{3} = 3 x 3 x 3 = 9 x 3 = 27

And (27)^{-1}  means  \frac{1}{27}

For this reason, 27. (27)^{-1} = 1

Positive indices mean we have to multiply the same number twice or thrice based on the value of the index. On the other hand, negative indices mean we have to divide by the same number twice or thrice based on the value of the index.

NeTakaya3 years ago
3 0

Answer:

27.((3^{3})^{-1}  = 27.(27)^{-1} = 27 .\frac{1}{27} = 1

Step-by-step explanation:

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Simplify the expression! :D :P
mario62 [17]
54-30/3=54-10=44
The blanks are 30, 10 and 44
6 0
4 years ago
Gabby assumed she could sell 45 boxes of cookies by Friday, but she only sold 26 boxes. What was Gabby's percent error? ​
Agata [3.3K]

Answer:

73.07%

Step-by-step explanation:

Given that,

Actual value of sold cookies = 26

Assumed value of sold cookies = 45

We need to find Gabby's percent error. The percentage error in a value is given by :

Error = ](Assumed value - Actual value)/Actual value]× 100

So,

\%=\dfrac{45-26}{26}\times 100\\\\=73.07\%

So, Gabby's percent error is equal to 73.07%.

4 0
3 years ago
A cylinder has a volume of 75 cubic centimeters. What is the volume of a sphere with the same height and radius?
bagirrra123 [75]
The sphere and the cylinder have the same heightbecause of this the height of the cylinder is equal to the diameter of the spherethe diameter of the sphere is 2*7=14 cm, so the height of the cylinder is also 14 cmthe radius of the cylinder is 7 cmV=∏*r^2*hV=3.14159*7^2*14V=3.14159*49*14V=3.14159*686V=2155.13074 cubic cm, or...V=(22/7)(7^2)(14)       (22/7 is an approximation for pi)V=(22/7)(49)(14)V=(22)(7)(14)V=(22)(98)V=2156 cubic cm
8 0
3 years ago
The National Aeronautics and Space Administration (NASA) purchased a new solar-powered battery guaranteed to have a failure rate
Reptile [31]

Answer:

The probability that all three batteries would fail is given as:

= 0.000125

Step-by-step explanation:

Given that the probability of the new battery failing = 1/20 or 0.05,

Therefore, the probability that all three batteries would fail is given as:

= Probability of battery A failing * Probability of battery B failing * Probability of battery C failing

= P(A)*P(B)*P(C)

= 0.05 * 0.05 * 0.05

= 0.000125

5 0
3 years ago
Use Newton's method with initial approximation x1 = 1 to find x2, the second approximation to the root of the equation x4 − x −
drek231 [11]

Answer:

x_{2} = 0.0000

Step-by-step explanation:

The formula for the Newton's method is:

x_{i+1} = x_{i} + \frac{f(x_{i})}{f'(x_{i})}

Where f' (x_{i}) is the first derivative of the function evaluated in x_{i}.

x_{i+1} = x_{i} + \frac{x_{i}^{4}-x_{i}-3}{4\cdot x_{i}^{3}-1}

Lastly, the value of x_{2} is determined by replacing x_{1} with its numerical value:

x_{2} = x_{1} + \frac{x_{1}^{4}-x_{1}-3}{4\cdot x_{1}^{3}-1}

x_{2} = 1.0000 + \frac{1.0000^{4}-1.0000-3}{4\cdot (1.0000)^{3}-1}

x_{2} = 0.0000

8 0
3 years ago
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