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2 years ago

Question 1 of 6

Mathematics

1 answer:

OverLord2011 [107]2 years ago

7 0

Answer:

do you understand it

Step-by-step explanation:

do you understand it

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pls help will give brainliest Rena used the steps below to evaluate the expression (StartFraction (x Superscript negative 3 Base

kaheart [24]

Answer:

First "order of operations" mistake: step 2

First arithmetic mistake: step 4

Step-by-step explanation:

As we understand Rena's work, she wants to simplify ...

$\left(\dfrac{x^{-3}y^{-2}}{2x^4y^{-4}}\right)^{-3}$

for x = -1 and y = 2.

Her work seems to be ...

Step 1

$\text{Substitute $x=-1$ and $y=2$ into the expression}\\\\\left(\dfrac{(-1)^{-3}2^{-2}}{2(-1)^42^{-4}}\right)^{-3}\qquad\text{no error}$

Step 2

$\text{Simplify the parentheses}\\\\\left(\dfrac{2^4}{2(-1)^4(-1)^32^2}\right)^{-3}=\left(\dfrac{2^2}{2(-1)^7}\right)^{-3}\qquad\text{order of operations error}$

Step 3

$\text{Evaluate the power to a power}\\\\\dfrac{2^{-6}}{2^{-3}(-1)^{21}}\qquad\text{no error}$

Step 4

$\text{Use reciprocals and find the value}\\\\\dfrac{1}{2^32^6(-1)^{21}}=\dfrac{1}{8\cdot 64\cdot (-1)}=\dfrac{-1}{512}\qquad\text{error: $2^3$ is used instead of $2^{-3}$}$

_____

So, the first arithmetic error is in Step 4. However, the order of operations requires exponents be evaluated first. Doing that makes step 2 look like ...

$\left(\dfrac{-\dfrac{1}{4}}{2(1)\dfrac{1}{16}}\right)^{-3}=(-2)^{-3}\qquad\text{proper Step 2}$

We expect your answer is supposed to be Step 4.

7 0

2 years ago

What is the surface area of a unit cube?

lisabon 2012 [21]

Answer:

6 units

Step-by-step explanation:

The total area that the surface of a 3-dimensional object would cover if its sides were laid flat is called it's surface area. Surface area is measured in square units. The surface area of a unit cube is 6 square units.

8 0

2 years ago

A boy jogs 250 meters in 110 seconds. What is his average speed in m/s?

murzikaleks [220]

250m/110s

25m/11s

25/11 m/s

6 0

2 years ago

4p+6qp wdhwaudwhduwhdw

Schach [20]

Answer:

10p

Step-by-step explanation:

3 0

2 years ago

Which expression shows 27 + 36 as the product of their greatest common factor and the sum of two whole numbers with no common fa

Diano4ka-milaya [45]

I believed there is a typo error in the choices. Below I assume that the correct choices:

A. 9 (3+4)
B. 9 (4+5)
C. 7(4+5)
D. 7(3+6)

The answer is letter A which is 9 (3+4) the greatest common denominator of 27 and 36 is 9. The factor of 27 is 9 and 3 while for 36 is 9 and 4. To check the answer you need to solve 9 (3+4) which is 63 while 27 + 36 is also 63.

8 0

2 years ago