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devlian [24]
2 years ago
9

Which expression is equivalent to (4p^-4 q)^-2/ 10pq^-3?

Mathematics
2 answers:
Anit [1.1K]2 years ago
4 0

Answer:

\dfrac{p^{7} q}{160}

Step-by-step explanation:

\dfrac{(4p^-4 q)^-2}{10pq^-3} =

= \dfrac{4^{-2}p^{-4\times (-2)} q^{-2}}{10pq^-3}

= \dfrac{4^{-2}}{10}p^{8-1} q^{-2-(-3)}

= \dfrac{1}{4^2 \times 10}p^{7} q^{-2 + 3}

= \dfrac{1}{160}p^{7} q

= \dfrac{p^{7} q}{160}

iogann1982 [59]2 years ago
3 0

Answer:

C on e2020/edge

Step-by-step explanation:

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A 46 gram sample of a substance that is used to sterilize surgical instruments has a k-value of 0.1374. Find the substance's hal
mars1129 [50]

Answer:

  t=5.0days

Step-by-step explanation:

Using the formula for the exponential decay that is N=N_{0}e^{-kt}, we have N=\frac{1}{2}{\times}46=23, N_{0}=46 and k=0.1374.

Thus, N=N_{0}e^{-kt} becomes

23=46{\times}e^{-0.1374t}

\frac{23}{46}=e^{-0.1374t}

\frac{1}{2}=e^{-0.1374t}

Taking log on both sides, we get

ln(\frac{1}{2})={-0.1374t}

t=\frac{ln\frac{1}{2}}{-0.1}

t=\frac{-0.6931}{-0.1374}

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3 years ago
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Answer:

change inches into centimeter and then divide it

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4 0
3 years ago
If the diameter of the circle is 6 cm, find its circumference. [Use 3.14 for π.] A) 18.84 cm B) 25.12 cm C) 37.68 cm D) 50.24 cm
agasfer [191]
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7 0
3 years ago
Read 2 more answers
A total of 165 people attended the opening night of a school play. Adults were charged $6, and children were charged $2. The tot
arlik [135]
-------------------------------------------------------------------------
Given Information
-------------------------------------------------------------------------
Total number of people = 165
Adult = $6
Child = $2
Total collected = $618

-------------------------------------------------------------------------
Assumptions 
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Let x be the number of adults and y be the number of children

-------------------------------------------------------------------------
Form equations
-------------------------------------------------------------------------
Total number of people
x + y = 165
Total amount collected 
6x + 2y = 618

-------------------------------------------------------------------------
Ans: The two equations are x + y = 165 and 6x + 2y = 618
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The question is not asking for it but if you need to solve the equation to find the answer to x and y

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Present the two equations and solve for x and y
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x + y = 165          ------------------------- (eqn 1)
6x + 2y = 618      ------------------------- (eqn 2)

(eqn 1) : 
x + y = 165
x = 165 - y -------------------------  substitute into (eqn 2)

6(165 - y) + 2y = 618
990 - 6y + 2y = 618
4y = 990 - 618
4y = 372
y = 93 -------------------------  substitute into (eqn 1)

x + y = 165
x + 93 = 165
x = 165 - 93
x = 72 

x = 72 and y = 93

-------------------------------------------------------------------------
Ans: 72 adults and 93 children
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5 0
3 years ago
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Answer:

The answer is (-3x^3)+(9x^2)-(6x)-6

Step-by-step explanation:

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2 years ago
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