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3 years ago

A. -3 B. -1/3 C. 1/3 D. 3

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

4 0

Answer:

I believe its, C. 1/3

Step-by-step explanation:

You go to the right 1, then up 3!

so it is positive!

Remember, Rise over Run :)

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HELP PLEASE ASAP <br><br> The decimal equivalent is a _____

sasho [114]

Terminating decimal

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3 years ago

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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

Please help! I need this paper done before my class tomorrow! Thank you!

BabaBlast [244]

Answer:

x=7 and m<LMN = 120

Step-by-step explanation:

if MO bisects LMN then 13x - 31 must be equal to x + 53

13x - x = 53 + 31

12x = 84

x = 7

and

13x - 31 + x + 53 = m<LMN

14x + 22 = m<LMN

since x is 7

14×7 + 22 = 120

3 0

3 years ago

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What is the logarithmic function modeled by the following table? x f(x) 9 2 27 3 81 4

Nataly_w [17]

Answer:

Required logarithmic function is :

$f\left(x\right)=\log_3\left(x\right)$

Step-by-step explanation:

We have been fiven that table for the logarithmic function is:

x f(x)

9 2

27 3

81 4

which can be rewritten as:

x f(x)

3^2 2

3^3 3

3^4 4

Which are basically powers of 3

So we can use logarithmic function as

$\log_3\left(9\right)=\log_3\left(3^2\right)=2\log_3\left(3\right)=2(1)=2$

Hence required logarithmic function is :

$f\left(x\right)=\log_3\left(x\right)$

8 0

3 years ago

Whelp plzz................................................

kondaur [170]

Answer:

7/9 and 6

Step-by-step explanation:

Coefficients are intergers that are parted with a variable.

7/9 and 6 are the coefficients

7 0

3 years ago