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Cerrena [4.2K]
3 years ago
13

What is the constant for this direct variation when x=2 and y=6

Mathematics
1 answer:
NemiM [27]3 years ago
8 0
The constant of variation = 3
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11-Determine the specific heat of a material if a 12-g sample absorbed 96 J as it was heated from 20°C to 40°C. *
kompoz [17]

Answer:

c=0.4\ J/g^{\circ} C

Step-by-step explanation:

Given that,

Mass of a sample, m = 12 g

Heat absobed by the sample, Q = 96 J

It was heated from 20°C to 40°C.

We need to find the specific heat of a material. The heat absorbed by a sample is given by :

Q=mc\Delta T\\\\c=\dfrac{Q}{m\Delta T}\\\\c=\dfrac{96}{12\times (40-20)}\\\\=0.4\ J/g^{\circ} C

So, the specific heat of the material is 0.4\ J/g^{\circ} C.

3 0
3 years ago
Find the equation of a line parallel to −5x+y=2 that contains the point (5,−2). Write the equation in slope-intercept form.
mario62 [17]

Answer:

L2: y-0 = 5/2(x-5)

y = 5/2x-25/2

Step-by-step explanation:

Parallel lines have same slopes.

Line 1,   L1:  5x-2y=20   is in standard form Ax+By=C therefore slope m1= -A/B = -5/-2 = 5/2 or you can solve it for y so you will have the equation in slope-intercept form.

5x-2y = 20

-2y = -5x+20

y = (-5/-2)x+20/(-2)

y = (5/2)x-10 hence m1=5/2 and y-intercept is -10

Line 2 , L2:   y-y1 = m (x-x1),  m=m2=m1=5/2

Point p(5,0) or p(x1,y1) therefore x1=5 , y1=0 and m=5/2

L2: y-0 = 5/2(x-5)

y = 5/2x-25/2

5 0
2 years ago
242 is the same as the total of b and 59<br><br> write in a equation
TiliK225 [7]

Answer:

Step-by-step explanation:

242=b+49

5 0
3 years ago
Read 2 more answers
Function: g(x) = 2x2 – 8
DedPeter [7]

Answer:

q = 0, r = 2, s = 3, t = -3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A wise man once said "500 reduced by twice my age is 394." what is his age?
stich3 [128]
X=the man's age
500-2x=394
-500       -500
-2x=-106
-2x/2=-106/-2
x=53

FINAL ANSWER: 53 years old

Hope this helps! :)
5 0
4 years ago
Read 2 more answers
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