Y=x² - 6x + 7 in quadratic vertex form (no need to show work)

A baby is born having a mass of 3,000 grams and gains 200 grams in the following week. How much does the baby weigh one week aft

nignag [31]

Answer:

7 pounds 0.8767 ounces

8 0

3 years ago

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A tank has capacity 6 L and initially contains 11 mg of salt dissolved in 3 L of water. A solution containing 1 mg/L of salt ent

BlackZzzverrR [31]

Answer:

The answer is below

Step-by-step explanation:

a) The maximum capacity of he tank is 6 L and initially it contains 11 mg of salt dissolved in 3 L of water. Solution enters the tank at a rate of 3 L/hr, therefore in x hours, the amount of water that have entered the tank = 3x.

Solution also leaves the tank at a rate of 2L/hr, therefore in x hours, the amount of water that have left the tank = 2x

Hence the amount of water present in the tank at x hours is given as:

3 + 3x - 2x = 3 + x

The time taken to full the tank can be gotten from:

3 + x = 6

x = 6 - 3

x = 3 hr

b)

$\frac{dQ}{dx}=3-\frac{2Q}{3+x}\\ \\\frac{dQ}{dx}+\frac{2Q}{3+x}=3\\\\let\ u'=\frac{2u}{3+x}\\\\\frac{u'}{u}=\frac{2Q}{3+x}\\\\ln(u)=2ln(3+x)\\\\u=(3+x)^2\\\\(3+x)^2Q]'=3(3+x)^2\\\\(3+x)^2Q=(3+x)^3+c\\\\Q(0)=11\\\\(3+0)^2(11)=(3+0)^3+c\\\\x=72\\\\Q=x+3+\frac{72}{(x+3)^2}\\ \\Q(3)=3+3+\frac{72}{(3+3)^2}=8\ mg$

8 mg/ 6 L = 4/3 mg/L

8 0

3 years ago

Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn's

Vadim26 [7]

Answer:

is d

Step-by-step explanation:

7 0

3 years ago

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Simplify the expression. Explain each step.<br> - q•3

Sveta_85 [38]

Answer:

-3q

Step-by-step explanation:

-q is actually -1q so you just divide 3 by -1 and get -3q

8 0

3 years ago

Please help I’ll mark brainliest as long as you tell me how you got that answer, also I apologize if it’s kinda blurry. I hope y

kolezko [41]

Answer:

B.

Step-by-step explanation:

Not another one! ;)

A can be eliminated because the numbers don‘t match. B seems like a possible answer, let’s first check the others out. C and D can be slim instead because the variable, g, should be next to the 1.5 and 2.5. C and D both change the variable location. So, B.

4 0

3 years ago