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givi [52]
3 years ago
6

30 POINTS! PLEASE HELP

Mathematics
2 answers:
Kryger [21]3 years ago
8 0

Answer:

y = -4x+4

Step-by-step explanation:

Pick two points on the line

(0,4) and (1,0)

We can find the slope

m = (y2-y1)/(x2-x1)

   = (0-4)/(1-0)

   = -4/1 =-4

We know the y intercept is 4

The slope intercept form of the equation is y = mx+b  where m is the slope and b is the y intercept

y = -4x+4

ira [324]3 years ago
3 0

Answer:

-4

Step-by-step explanation:

Using (1,0) and (0,4)

Slope: (4-0)/(0-1)

4/-1

-4

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3 years ago
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See attached image. For part b, my answer is <img src="https://tex.z-dn.net/?f=h%28t%29%3D%5Cfrac%7Bt%5E2%7D%7B100%7D-%5Cfrac%7B
ArbitrLikvidat [17]

Answer:

a) shown

b) h = [sqrt(17) - (5/2)t]²

c) t = 2sqrt(17)/5 seconds

Step-by-step explanation:

V = pi × r² × h

V = pi × 5² × h

V = 25pi × h

a) dV/dt = dV/dh × dh/dt

-5pi × sqrt(h) = 25pi × dh/dt

dh/dt = -sqrt(h)/5

b) 1/sqrt(h) .dh = -5. dt

2sqrt(h) = -5t + c

t = 0, h = 17

2sqrt(17) = 0 + c

c = 2sqrt(17)

2sqrt(h) = -5t + 2sqrt(17)

sqrt(h) = [2sqrt(17) - 5t] ÷ 2

sqrt(h) = sqrt(17) - (5/2)t

Square both sides

h = [sqrt(17) - (5/2)t]²

c) empty: h = 0

0 = [sqrt(17) - (5/2)t]²

sqrt(17) - (5/2)t = 0

(5/2)t = sqrt(17)

t = 2sqrt(17)/5

t = 1.64924225 seconds

sqrt: square root

5 0
4 years ago
A random sample of pickles in a jar has the following weights in grams: 68, 54, 59, 70, 69, 65, 73, 59, 74, and 54
gogolik [260]
68 + 54 + 59 + 70 + 69 + 65 + 73 + 59 + 74 + 54 = 586 grams
586 grams/10 = 58.6 grams (if you round it, you will get 59 grams)

hope this helps!!
6 0
3 years ago
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