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Alexeev081 [22]
2 years ago
10

WHOEVER ANSWERS BOTH QUESTIONS FIRST WILL GET MARKED THE BRAIN THINGY (I'll also check to see if you were right or not)

Mathematics
2 answers:
svet-max [94.6K]2 years ago
8 0
Help me wit this one too pls If an image is translated 2 units to the right and 5 units down which of these algebraic representation is the right one? Explain why you selected that answer A. (x-2, y+5) B. (x+5, y-2) C. (x-5, y+2) D. (x+2, y-5)
n200080 [17]2 years ago
3 0
V≈28730.91 and if the radius was 18 it would be V≈24429.02. also ur second answer is correct. btw there are calculators online for finding volume in spheres wayyy easier & fast
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A tank with a capacity of 1000 L is full of a mixture of water and chlorine with a concentration of 0.02 g of chlorine per liter
faltersainse [42]

At the start, the tank contains

(0.02 g/L) * (1000 L) = 20 g

of chlorine. Let <em>c</em> (<em>t</em> ) denote the amount of chlorine (in grams) in the tank at time <em>t </em>.

Pure water is pumped into the tank, so no chlorine is flowing into it, but is flowing out at a rate of

(<em>c</em> (<em>t</em> )/(1000 + (10 - 25)<em>t</em> ) g/L) * (25 L/s) = 5<em>c</em> (<em>t</em> ) /(200 - 3<em>t</em> ) g/s

In case it's unclear why this is the case:

The amount of liquid in the tank at the start is 1000 L. If water is pumped in at a rate of 10 L/s, then after <em>t</em> s there will be (1000 + 10<em>t</em> ) L of liquid in the tank. But we're also removing 25 L from the tank per second, so there is a net "gain" of 10 - 25 = -15 L of liquid each second. So the volume of liquid in the tank at time <em>t</em> is (1000 - 15<em>t </em>) L. Then the concentration of chlorine per unit volume is <em>c</em> (<em>t</em> ) divided by this volume.

So the amount of chlorine in the tank changes according to

\dfrac{\mathrm dc(t)}{\mathrm dt}=-\dfrac{5c(t)}{200-3t}

which is a linear equation. Move the non-derivative term to the left, then multiply both sides by the integrating factor 1/(200 - 5<em>t</em> )^(5/3), then integrate both sides to solve for <em>c</em> (<em>t</em> ):

\dfrac{\mathrm dc(t)}{\mathrm dt}+\dfrac{5c(t)}{200-3t}=0

\dfrac1{(200-3t)^{5/3}}\dfrac{\mathrm dc(t)}{\mathrm dt}+\dfrac{5c(t)}{(200-3t)^{8/3}}=0

\dfrac{\mathrm d}{\mathrm dt}\left[\dfrac{c(t)}{(200-3t)^{5/3}}\right]=0

\dfrac{c(t)}{(200-3t)^{5/3}}=C

c(t)=C(200-3t)^{5/3}

There are 20 g of chlorine at the start, so <em>c</em> (0) = 20. Use this to solve for <em>C</em> :

20=C(200)^{5/3}\implies C=\dfrac1{200\cdot5^{1/3}}

\implies\boxed{c(t)=\dfrac1{200}\sqrt[3]{\dfrac{(200-3t)^5}5}}

7 0
3 years ago
Which expression is equivalent to -5(-6h +8 - 12)?
Grace [21]
30h-40+60 or 30h+20 I think
5 0
2 years ago
Who can help me with 17 and 18
nikklg [1K]

Answer:

correct statements in Q no. 17 are;

  • 0.1 < 0.125
  • 0.125 > 0.12

Answers for Q no. 18;

  • 4.19
  • 4.2

Step-by-step explanation:

8 0
2 years ago
3(x - 2) - (1 - x) &gt; 2x - 7
Kipish [7]

Answer:

56

Step-by-step explanation:

a square meters are a rectangle is the place where the people who cares about their own business is not a rectangle is a rectangle is a rectangle is a square and the area is not the only thing to the most of the time that you have been doing this and that is the only thing I have been doing with the past few years I've had to do it myself for

7 0
2 years ago
Helen kulman is a secretary she earned $10.65 per hour she worked 38 hours last week what is her straight time pay
ivolga24 [154]

Answer:

404.7

Step-by-step explanation:

You multiply 10.65 by 38 to get 404.7

8 0
3 years ago
Read 2 more answers
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