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kap26 [50]
3 years ago
14

Calculate without distribution 13.45 × .20 =

Mathematics
2 answers:
amid [387]3 years ago
8 0

Answer:

The answer in this proble is 269

Varvara68 [4.7K]3 years ago
8 0

Answer:

=2.69

  • Step-by-step

Line up the numbers and multiply up and down

   1 3 4 5

x            2

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A function y(t) satisfies the differential equation dy dt = y 4 − 6y 3 + 5y 2 . (a) What are the constant solutions of the equat
Alexxandr [17]

Answer:

Hence increasing in  (-\infty,0) U (1,5)

c) Decreasing in (0,1)

Step-by-step explanation:

Given that y(t) satisfies the differential equation

\frac{dy}{dt} =y^4-6y^2+5y^2\\=y^2(y^2-6y+5)\\=y^2(y-1)(y-5)

Separate the variables to have

\frac{dy}{y^2(y-1)(y-5)} =dt

Left side we can resolve into partial fractions

Let \frac{1}{y^2(y-1)(y-5)} =\frac{A}{y} +\frac{B}{y^2}+\frac{C}{y-1} \frac{D}{y-5}

Taking LCD we get

1= Ay(y-1)(Y-5) +B(y-1)(y-5)+Cy^2 (y-5)+Dy^2 (y-1)\\Put y =1\\1 =  -4C\\Put y =5\\ 1 = 25(4)D\\Put y =0\\1=5B\\

By equating coeff of y^3 we have

A+C+D=0

C=\frac{-1}{4} \\D=\frac{1}{100} \\B =\frac{1}{5} \\A = -C-D = \frac{6}{25}

Hence left side =

\frac{6}{25y} +\frac{1}{5y^2}+\frac{-1}{4(y-1)}+ \frac{1}{100(y-5)}=dt\\\frac{6}{25}ln y -\frac{1}{5y}-\frac{1}{4}ln|(y-1)| +\frac{1}{100}ln|y-5| = t+C

b) y is increasing whenever dy/dt>0

dy/dt =0 at points y =0, 1 and 5

dy/dt >0 in (-\infty,0) U (1,5)

Hence increasing in  (-\infty,0) U (1,5)

c) Decreasing in (0,1)

5 0
3 years ago
Read 2 more answers
Which equation calculates the number of 1313-cup servings you can make with 4 cups of pudding?
yuradex [85]
D is the correct answer partly because it's the only equation that has the correct outcome and partly because you have to divide 1313 by 4 anyways for the answer to make sense.
number of cups you have ÷ number of cups per serving = number of servings
7 0
3 years ago
Read 2 more answers
Which ordered pair is the solution to the system of equations?
Delvig [45]
This is your answer, hope this helps :D !

6 0
2 years ago
PLS HELP THIS IS TIMED!!!!!
SIZIF [17.4K]

Answer:

B

Step-by-step explanation:

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2 years ago
Patrica can drive 36 kilometers for every 3 liters of gas she puts in the car.
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108 .

explanation : 36 x 3 = 108

( it’s easy multiplication )
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