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3 years ago

If you add 1 to half of 1, then half of 1 to the previous number, and so on, will you ever get to 2?

Mathematics

2 answers:

Diano4ka-milaya [45]3 years ago

7 0

Answer: yes

Step-by-step explanation:

It’s 1+1/2= 1 1/2+1/2=2

lisov135 [29]3 years ago

4 0

Answer:

Step-by-step explanation:

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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

Which two points represent solutions to the equation 3x−9y=18? (−6,1) (−3,−2) (0,2) (6,0) (9,1)

Mama L [17]

Answer:

the two points represent solutions to the equation 3x - 9y= 18

if y = 0,

3x - 9(0) = 18

3x = 18

x = 6

(6,0): point 1

if x = 9

3(9) - 9y = 18

27 - 9y = 18

-9y = -9

y = 1

(9, 1) : point 2

Step-by-step explanation:

5 0

3 years ago

Water bottles are sold in cases of 24. Select the expressions that can represent the total number of water bottles in c cases

k0ka [10]

Answer:

Step-by-step explanation:

24 X c,

24 ÷ c,

24 + c,

24 - c,

24c

3 0

2 years ago

Find the distance between (−4, −6) and (−1, 2). <br> *Please Check my answer*

Sphinxa [80]

Yes! That is correct!
<span />

8 0

3 years ago

Like y'all is so nice for helping me because this work is so hard so can yall help me and i will give barinlest☺️

ELEN [110]

Answer:

The answer is A I hope it’s right

Step-by-step explanation:

405-319=86

5 0

3 years ago