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3 years ago

Simplify the expression (5^-2 * 4^-4)^-2 so there is only one positive power for each base

Mathematics

2 answers:

Nonamiya [84]3 years ago

7 0

I got 5^4 x 4^8....................

lapo4ka [179]3 years ago

6 0

(5^4*4^8) that's is what I got

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The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen t

Kryger [21]

Answer:

The correct answer will be:

$-\dfrac{62}{23}$

Step-by-step explanation:

It is given that :

Initial temperature, $T_1 = 0^\circ F$

Final temperature,

$T_2 = -15\dfrac{1}{2}^\circ F\\\Rightarrow T_2 = -\dfrac{15\times 2+1}{2} ^\circ F\\\Rightarrow T_2 = -\dfrac{31}{2} ^\circ F$

Time taken :

$5\dfrac{3}{4}\ hrs = \dfrac{5 \times 4+3}{4}\ hrs = \dfrac{23}{4}\ hrs$

Change in temperature per hour:

$\dfrac{\text{Difference of temperature}}{\text{Total Time Taken}}\\\Rightarrow \dfrac{T_2-T_1}{\text{Total Time Taken}}$

Putting the values of temperatures and time:

$\dfrac{\dfrac{-31}{2}-0}{\dfrac{23}{4}}\\\Rightarrow \dfrac{\dfrac{-31}{2}}{\dfrac{23}{4}}\\\Rightarrow \dfrac{-31 \times 4}{2 \times 23}} \text{---- Error done by Wen at this step}\\\Rightarrow \dfrac{-31 \times 2}{23}}\\\Rightarrow \dfrac{-62}{23}}$

The error done by Wen was during calculating the values of fraction.

So, the correct answer is : $\frac{-62}{23}}$ instead of $\frac{-713}{8}$

5 0

4 years ago

Read 2 more answers

Can you all please help me with problems 6 through 10? Please don’t use for points I’m extremely stressed and need help

patriot [66]

Answer:

See below.

Step-by-step explanation:

6.) (5)/6 ≤ 1 (Yes)

7.) 1.4(11) > 16

15.4 > 16 (No)

8.) 11.1 + 9.8 ≥ 21.01

20.9 ≥ 21.01 (No)

9.) 2.5 < (90)/30

2.5 < 3 (Yes)

10.) 1/2 > 3(1/6)

1/2 > 1/2 (No)

11.) 2.16 ≥ 3(0.6) - 0.5

2.16 ≥ 1.8 - 0.5

2.16 ≥ 1.3 (Yes)

12.) x < 2 (x is less than 2.)

13.) x ≥ -1 (x is greater than or equal to -1.)

5 0

3 years ago

Read 2 more answers

Add 77 -10 with its additive inverse.

Ganezh [65]

Answer: 77 - 10 = 67, and the additive inverse of 77 - 10 is 77 + 10. 77 + 10 = 87.

Hope this helps! This question was kind of confusing for me, because I didn’t understand why you said to add 77 - 10… is this is the incorrect answer sorry your question was worded weird

4 0

2 years ago

-4÷[1/3(7-1/2)]+3<br>(pls show your work)

jek_recluse [69]

Step-by-step explanation:

= -4 ÷ ( 1/3 × (7 - 1/2) ) + 3

= -4 ÷ ( 1/3 × 13/2 ) + 3

= -4 ÷ 13/6 + 3

= -4 × 6/13 + 3

= -24/13 + 3

= -24/13 + 39/13

= 15/13