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lions [1.4K]
3 years ago
7

Which is the value of this expression when p=-2 and q=-1?

Mathematics
1 answer:
saul85 [17]3 years ago
8 0

Answer:

D. 4

Step-by-step explanation:

[(p^2) (q^{-3}) ]^{-2}.[(p)^{-3}(q)^5] ^{-2}\\\\=[(p^2) (q^{-3}) \times(p)^{-3}(q)^5 ]^{-2}\\\\=[(p^{2}) \times(p)^{-3} \times (q^{-3}) \times(q)^5 ]^{-2}\\\\=[(p^{2-3}) \times (q^{5-3}) ]^{-2}\\\\=[(p^{-1}) \times (q^{2}) ]^{-2}\\\\=(p^{-1\times (-2)}) \times (q^{2\times (-2) }) \\\\=p^{2}\times q^{-4} \\\\= \frac{p^2}{q^4}\\\\= \frac{(-2)^2}{(-1)^4}\\\\= \frac{4}{1}\\\\= 4

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A top swimmer would be able to swim across a 25-meter pool in about 1/5
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Answer:

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Step-by-step explanation:

Find the rate (speed) as follows:

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On a cold day, hailstones fall with a velocity of 2i − 6k m s−1 . If a cyclist travels through the hail at 10i m s−1 , what is t
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Answer:

The velocity of the hail relative to the cyclist is V_{hc}=-8\hat{i}-6\hat{k}

The angle at which hailstones falling relative to the cyclist is \theta = 36.86^\circ

Step-by-step explanation:

Given : On a cold day, hailstones fall with a velocity of 2\hat{i}-6\hat{k}\text{ m/s} . If a cyclist travels through the hail at 10\hat{i} \text{ m/s}.

To find : What is the velocity of the hail relative to the cyclist and At what angle are the hailstones falling relative to the cyclist?

Solution :

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The velocity of the cyclist travels through the hail is V_c=10\hat{i} \text{ m/s}

The velocity of the hail relative to the cyclist is given by,

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V_{hc}=2\hat{i}-6\hat{k}-10\hat{i}

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So, The velocity of the hail relative to the cyclist is V_{hc}=-8\hat{i}-6\hat{k}

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4 0
3 years ago
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MaRussiya [10]

Answer: The answer is (b) [(p∧q)⇒r] ∧ [r⇒(p∧q)].


Step-by-step explanation:  Given that The statements 'p', 'q' and 'r' are defined as follows.

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q : it is humid,

r : it is snowing.

The statement 'it is cold and humid if and only if it is snowing'  can be written as

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Thus, the answer is (b) [(p∧q)⇒r] ∧ [r⇒(p∧q)].



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