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2 years ago

Katy buys 4 DVDs every 2 weeks. How many DVDs will she buy in 14 weeks?

Mathematics

1 answer:

Katarina [22]2 years ago

5 0

Answer:

28 DVDs

Step-by-step explanation:

Given information from the question, we can deduce:

2 weeks = 4 DVDs

1 week =

$\frac{4}{2} \\ = 2$

2 DVDs on average.

Which means,

14 weeks = 2 × 14 = 28 DVDs

Therefore, Katy will buy 28 DVDs in 14 weeks.

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Complete the solution of the equation. Find the value of y when x equals -2. -4x+8y=-24

zepelin [54]

Answer:y=-4

Step-by-step explanation:

Multiply -4 by -2 you get positive 8 rewrite the equation subtract 8 from both sides that leaves you with 8y=-32 your final step is to divide both sides 8 that leaves you with -4 which is the answer.

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3 years ago

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Lim x--> 0 (e^x(sinx)(tax))/x^2

Tom [10]

Make use of the known limit,

$\displaystyle\lim_{x\to0}\frac{\sin x}x=1$

We have

$\displaystyle\lim_{x\to0}\frac{e^x\sin x\tan x}{x^2}=\left(\lim_{x\to0}\frac{e^x}{\cos x}\right)\left(\lim_{x\to0}\frac{\sin^2x}{x^2}\right)$

since $\tan x=\dfrac{\sin x}{\cos x}$ , and the limit of a product is the same as the product of limits.

$\dfrac{e^x}{\cos x}$ is continuous at $x=0$ , and $\dfrac{e^0}{\cos 0}=1$ . The remaining limit is also 1, since

$\displaystyle\lim_{x\to0}\frac{\sin^2x}{x^2}=\left(\lim_{x\to0}\frac{\sin x}x\right)^2=1^2=1$

so the overall limit is 1.

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3 years ago

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3241004551 [841]

Answer:

Step-by-step explanation:

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3 years ago

0.5 grams of salt is equal to how many milligrams show you work

elena55 [62]

Answer:

500 milligrams (mg)

Step-by-step explanation:

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3 years ago

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X^2 + bx + 49 is a perfect squad trinomial what is one possible value of b?

ddd [48]

a perfect square trinomial, (x + y)² = x² + 2xy + y²

so, if we have the x of the bx, what is left is the b

the expression would have to be (x + 7)², since we have the 49 and the x²

so, what's left: x² + 14x + 49,

b = 14

<em>hope it helps :)</em>

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3 years ago