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3 years ago

3x^2 y^7 • 5y^8 x^4 someone help plz

Mathematics

1 answer:

ale4655 [162]3 years ago

5 0

Answer:

15x^6y^15

Other:

Brainliest? Thanks!

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A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south at 3 ft/s from a point 500

Vedmedyk [2.9K]

Answer:

The rate at which both of them are moving apart is 4.9761 ft/sec.

Step-by-step explanation:

Given:

Rate at which the woman is walking, $\frac{d(w)}{dt}$ = 3 ft/sec

Rate at which the man is walking, $\frac{d(m)}{dt}$ = 2 ft/sec

Collective rate of both, $\frac{d(m+w)}{dt}$ = 5 ft/sec

Woman starts walking after 5 mins so we have to consider total time traveled by man as (5+15) min = 20 min

Now,

Distance traveled by man and woman are $m$ and $w$ ft respectively.

⇒ $m=2\ ft/sec=2\times \frac{60}{min} \times 20\ min =2400\ ft$

⇒ $w=3\ ft/sec = 3\times \frac{60}{min} \times 15\ min =2700\ ft$

As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate $\frac{dh}{dt}$ .

Lets calculate h.

Applying Pythagoras formula.

⇒ $h^2=(m+w)^2+500^2$

⇒ $h=\sqrt{(2400+2700)^2+500^2} = 5124.45$

Now differentiating the Pythagoras formula we can calculate the rate at which both of them are moving apart.

Differentiating with respect to time.

⇒ $h^2=(m+w)^2+500^2$

⇒ $2h\frac{d(h)}{dt}=2(m+w)\frac{d(m+w)}{dt} + \frac{d(500)}{dt}$

⇒ $\frac{d(h)}{dt} =\frac{2(m+w)\frac{d(m+w)}{dt} }{2h}$ ...as $\frac{d(500)}{dt}= 0$

⇒ Plugging the values.

⇒ $\frac{d(h)}{dt} =\frac{2(2400+2700)(5)}{2\times 5124.45}$ ...as $\frac{d(m+w)}{dt} = 5$ ft/sec

⇒ $\frac{d(h)}{dt} =4.9761$ ft/sec

So the rate from which man and woman moving apart is 4.9761 ft/sec.

3 0

3 years ago

Help me simplify this, please!!

OlgaM077 [116]

$- \sqrt[3]{2 x^{4} y^{2} } *3 \sqrt[3]{20 x^{5}y } =-3 \sqrt[3]{2 x^{4} y^{2}20 x^{5}y} = \\ \\ =-3 \sqrt[3]{40 x^{9} y^{3} } =-3 \sqrt[3]{2 ^{3}*5* x^{9} y^{3} } = \\ \\ =-3*2 ^{ \frac{3}{3} } * x^{ \frac{9}{3} } * y^{ \frac{3}{3} } \sqrt[3]{5} =-6 x^{3} y \sqrt[3]{5}$
Answer: B.

6 0

3 years ago

You deposit $300 in a savings account. The account earns 2% simple interest per year.

Anit [1.1K]

300x .02= 6

6x10=60

Therefore the answer is $360

6 0

3 years ago

Can you help me please.

SVEN [57.7K]

Answer:

can you take a better photo?

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2 years ago

Read 2 more answers

X-coordinate the definition for that

Step2247 [10]

Answer:

An x-coordinate is the x value in an ordered pair, which is just two mathematical objects, such as numbers, paired together. Usually, the x-coordinate is the first number in that pair. For instance, in the ordered pair (2,5), the x-coordinate would be '2.

Step-by-step explanation:

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3 years ago