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denis23 [38]
3 years ago
14

Solve |x| + 7 < 4.

Mathematics
1 answer:
masya89 [10]3 years ago
7 0

Answer:

C) Ø    not possible

Step-by-step explanation:

Solve |x| + 7 < 4.

subtract 7 first

|x| < 4 - 7

|x| < -3

this is impossible,  a positive number cannot be less than a negative number

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At time t=0 hours, a tank contains 3000 litres of water. Water leaks from the tank. At the end of every hour there is x% less wa
Margaret [11]

Answer:

x = 2; K = 0.98

Step-by-step explanation:

At time, t = 0, Volume of Water = 3,000 litres

After t hours , the Volume of water in the tank = Vt

At the end of every hour there is a x% less water in the tank then at the start of the hour

After 1 hour, volume of water left Vt = V1

V1 = 3,000 - 3000 × (x/100)

V1 = 3,000 - 30x

After 2 hours, Volume of water left is V2

V2 = (3,000 - 30 x) - (3,000 - 30 x) × (x/100)

V2 = (3,000 - 30 x) - (3000x - 30x²)/100

V2 = {100(3000 - 30x) - x(3000 - 30x)} /100

V2 = {(3000 - 30x)(100 - x)}/100

Recall, V2 = 2881.2

Therefore

{(3000 - 30x)(100 - x)}/100 = 2881.2

(3000 - 30x)(100 - x) = 288120

300000 - 3000 x - 3000 x + 30 x² = 288120

30 x ² - 6000 x + 11880 = 0

Dividing both sides by 30

x² - 200 x + 396=0

Factorizing:

(x -198)(x-2) = 0

x = 198 or x = 2

Since the percentage by which the water reduces cannot be greater than 100, x = 2 is chosen.

Step 2: Solving for k

Given that Vt=KtV0

K = Vt/V0

At t = 1

V1 = 3000 - 30x

V1 = 3000 - 30 × 2

V1 = 3000 - 60

V1 = 2940

K = 2940/3000

K = 0.98

5 0
3 years ago
Which of the distributions is left skewed?
tino4ka555 [31]

Answer:

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Step-by-step explanation:

7 0
2 years ago
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lbvjy [14]

Easily we can use formula y=(x-h)^2 +k

as equation of a parabola if vertex was (h,k):

Y=(x-1)^2 + 3

and maybe node (2,6) is incorrect for this vertex of a parabola!!!

3 0
3 years ago
HELP MEEEEEEEEEEEEEEEEEEEEEEE 20 POINTS AND BRAINLIEST PLZ HALPPPP
yawa3891 [41]

Answer:

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2. Radius 9in Diameter 34in Circumference 18in

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Step-by-step explanation:

Tip: When finding the circumference of a circle, just multiply the radius by 2!

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3 years ago
In a race in which six automobiles are entered and there are not ties, in how many ways can the first four finishers come in?
elixir [45]
 your answer would be 
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8 0
3 years ago
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