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LUCKY_DIMON [66]
3 years ago
10

Please help me to solve this problem

Mathematics
1 answer:
Law Incorporation [45]3 years ago
6 0

Answer:

the slope is 1/3

Step-by-step explanation:

y-2=1/3 * (x+0)

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Please help ! This is 7th grade math and I’ve been stuck on this question for 30 minutes!
FinnZ [79.3K]

\dfrac{1}{22}\:\dfrac{\text{in}}{\text{hr}}

Step-by-step explanation:

The amount of time from 10pm to 7am is 9 hours. However, the time indicated is 7:10am. Since there are 60 minutes in an hour, 10 min is equal to 1/6 of an hour. Therefore, the total time that the water level of the pool decreased is 9\frac{1}{6} hours or \frac{55}{6} hours. To find the rate at which the water level decreased, we divide the change in the water (in inches) by the time it took to reach that level. So we write

rate of change = \dfrac{\text{change\:in\:height}}{\text{change\:in\:time}}

\:\:\:\:\:\:\:= \dfrac{\frac{5}{12}\:\text{in}}{\frac{55}{6}\:\text{hrs}}

\:\:\:\:\:\:\:=\dfrac{5}{12}\cdot\dfrac{6}{55}\:\dfrac{\text{in}}{\text{hr}}

\:\:\:\:\:\:\:= \frac{1}{22}\:\dfrac{\text{in}}{\text{hr}}

7 0
3 years ago
Find all real values of ‘t‘ so that angle between the vectors u = (t − 2, 6 − t, −4) and v = (−4, t − 2, 6 − t) is 120◦ .
Ronch [10]

Answer:

for all values

Step-by-step explanation:

u = (t - 2, 6 - t, - 4)

v = ( - 4, t - 2, 6 - t)

Angle between them, θ = 120°

Use the concept of dot product of two vectors

\overrightarrow{A}.\overrightarrow{B}=A B Cos\theta

Magnitude of u = \sqrt{(t-2)^{2}+(6-t)^{2}+(-4)^{2}}

                         = \sqrt{2t^{2}-16t+56}

Magnitude of v = \sqrt{(t-2)^{2}+(6-t)^{2}+(-4)^{2}}

                         = \sqrt{2t^{2}-16t+56}

\overrightarrow{u}.\overrightarrow{v}=-4(t-2)+(6-t)(t-2)-4(6-t)=-t^{2}+8t-28

By the formula of dot product of two vectors

Cos120 = \frac{-t^{2}+8t-28}{\sqrt{2t^{2}-16t+56}\times \sqrt{2t^{2}-16t+56}}

-0.5\times {2t^{2}-16t+56} = {-t^{2}+8t-28}}

{-t^{2}+8t-28}} = {-t^{2}+8t-28}}

So, for all values of t the angle between these two vectors be 120.

4 0
4 years ago
PLEASE HELP! What's 4 3/10 - 80/100
Citrus2011 [14]

Answer:

Step-by-step explanation:

4\frac{3}{10} -\frac{80}{100} =\frac{43}{10} -\frac{8}{10} \\                                             =\frac{35} {10} \\                                             =3.5

7 0
3 years ago
Read 2 more answers
Three dice are rolled. Let the random variable x represent the sum of the 3 dice. By assuming that each of the 63 possible outco
tamaranim1 [39]
<h3>Answer:  1/8</h3>

In decimal form, 1/8 = 0.125 which converts to 12.5%

==================================================

Work Shown:

The 63 should be 6^3. There are 6 choices per slot, and 3 slots, so 6^3 = 216 different outcomes.

Here are all of the ways to add to 11 if we had 3 dice

  1. sum = 1+4+6 = 11
  2. sum = 1+5+5 = 11
  3. sum = 1+6+4 = 11
  4. sum = 2+3+6 = 11
  5. sum = 2+4+5 = 11
  6. sum = 2+5+4 = 11
  7. sum = 2+6+3 = 11
  8. sum = 3+2+6 = 11
  9. sum = 3+3+5 = 11
  10. sum = 3+4+4 = 11
  11. sum = 3+5+3 = 11
  12. sum = 3+6+2 = 11
  13. sum = 4+1+6 = 11
  14. sum = 4+2+5 = 11
  15. sum = 4+3+4 = 11
  16. sum = 4+4+3 = 11
  17. sum = 4+5+2 = 11
  18. sum = 4+6+1 = 11
  19. sum = 5+1+5 = 11
  20. sum = 5+2+4 = 11
  21. sum = 5+3+3 = 11
  22. sum = 5+4+2 = 11
  23. sum = 5+5+1 = 11
  24. sum = 6+1+4 = 11
  25. sum = 6+2+3 = 11
  26. sum = 6+3+2 = 11
  27. sum = 6+4+1 = 11

There are 27 ways to add to 11  using 3 dice. This is out of 216 total outcomes of 3 dice being rolled.

So, 27/216 = (1*27)/(8*27) = 1/8 is the probability of getting 3 dice to add to 11.

7 0
3 years ago
There are 6 brown<br>There are 9 white<br>How many more white<br>are there?​
tino4ka555 [31]

Answer:

3 more whites

Step-by-step explanation:

9 (browns) - 6 (whites) =3

is that what you meant?

3 0
3 years ago
Read 2 more answers
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