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irina [24]
3 years ago
13

Ifx = 3(y+w)-1. what is the value of w in terms of x and y

Mathematics
1 answer:
Georgia [21]3 years ago
7 0

Answer:

1/3x -y +1/3 = w

Step-by-step explanation:

x = 3y + 3w - 1

x - 3y + 1 = 3w

/3            = /3

1/3X - y + 1/3 = w

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Write the decimal in fractional notation: 0.097 A 97/1000 B 97/10,000 C 970 /1000 D 97/10
jeyben [28]
If you would like to write 0.097 in fractional notation, you can do this like this:

0.097 = 97 / 1000 

The correct result would be <span>A 97/1000.</span>
3 0
3 years ago
Solve the following quadratic equation by the square root method. (Y-9)^2=64
enot [183]

Hello!

To solve this, first perform the opposite operation for the last operation (on the left side) on both sides. The last operation of the left side is squaring. Therefore, square root both sides.

(y - 9)^{2}  = 64

y - 9 = ±\sqrt{64}

y - 9 = ±8

Please note that you must include ±. This is because the square root of 64 can be either positive or negative, as a square of either a positive or negative number is positive.

Now, add 9 to both sides.

y  = 9±8

There are 2 solutions from here. One comes from adding 8, and the other subtracting 8. Therefore, the two solutions are:

y = 9 + 8 = 17

y = 9 - 8 = 1

Therefore, your two solutions are 17 and 1.

Hope this helps!

8 0
3 years ago
Using Newton's Law of Cooling. You are a medical examiner called to an abandoned house in which a dead body has been discovered.
Artyom0805 [142]
A) The differential equation comes from the fact that the rate of temperature change is proportional to the difference in temperatures.
\frac{dT}{dt} = \alpha(T -52)

B) Find general solution by separating variables and integrating\int\frac{dT}{T-52} = \alpha \int dt   \\  ln (T-52) = \alpha t + C  \\  T = C e^{\alpha t} +52:


C) Initial condition is t=0, T = 87
87 = C +52 \\  C = 35

D) Total time elapsed is 10 minutes, new temperature is 84
84 = 35 e^{10\alpha} +52
solve for alpha
e^{10\alpha} =\frac{32}{35}  \\  \alpha = \frac{ln(32/35)}{10} \\  \alpha = -.00896

E) Temperature function is:
T = 35 e^{-.00896 t} +52
solving for t
t = \frac{ln (\frac{T-52}{35})}{-.00896}
Plug in T = 98.6
t = -31.95

This is approximately 32 minutes before he arrived or about 1:20 AM
3 0
3 years ago
Solve each equation by substitution:<br><br>y = 6x - 17<br>y= -4x +23​
NISA [10]

Answer:

y = 6x - 17 \\ y =  - 4x + 23 \\ then \\ 6 x - 17 =  - 4x + 23 \\ 10x = 40 \\ x = 4 \\ y = 7

7 0
3 years ago
What kind of triangle is this?<br> A.obtuse<br> B.supplementary<br> C.acute<br> D.right
BigorU [14]
B, a supplementary triangle because it all adds up to 180 degrees.
3 0
4 years ago
Read 2 more answers
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