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Kryger [21]
3 years ago
13

If a student from math class asked to borrow $200 and promised to repay you in 5 months, would you lend it to him?

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
8 0
Yes he seems rather reliable

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First change to standard form of first order linear differential equation and then by finding the appropriate integrating factor
Leokris [45]

Answer:

Step-by-step explanation:

Given is a Differential equation as

xy' + y = lnx ; y(e)=1

To bring it to linear form we can divide the full equation by x

y'+\frac{y}{x} =\frac{ln x}{x}

This is of the form

y'+p(x) *y = q(x)

p(x) = 1/x

So find

e^{\int\limits{\frac{1}{x} } \, dx } = e^{ln x} = x

Solution is

xy = \int  {x*lnx /x } \, dx =xln x -x +C

Use the initial value as y(e) =1

e= eln e -e+C\\C=e

So solution is

xy =xln x -x+e

5 0
3 years ago
The automaker of your new car recommends an oil change following the first 5,000 miles and then every 3,000 miles thereafter. If
Jlenok [28]

To determine how many oil changes you will need the first year, you can calculate the number of miles driven the first year and then use that to determine how many groups of 3000 miles you will drive after the first 5000 miles.


1. 52 x 250 = 13000 miles

2. 13000 miles - 5000 miles (1 oil change) = 8000 miles

3. 8000 miles - 3000 miles (1 oil change) - 3000 miles (1 oil change) = 2000 miles


The first year, you will need 3 oil changes.

7 0
3 years ago
8 tenths and 7 hunderths can be regrouped as what?
Fittoniya [83]

Answer:

Step-by-step explanation:

2

8 0
4 years ago
Eduardo biked 2.57 miles to the library and then 1 1/8 miles to a
sergey [27]

Answer:

3.5 miles

Step-by-step explanation:

We need to convert the fraction into decimal and add up both in decimal form and then make our estimate (closest to the exact answer).

1 and 1/8th means 1.SOMETHING

Dividing 1 by 8 would give us:

1/8 = 0.125

Hence, 1  1/8th = 1.125

Total miles = 2.57 + 1.125 = 3.695

THis is closes to 3.5 miles. THis is the answer.

6 0
3 years ago
Please solve these systems of equations by substitution.
yarga [219]

Step-by-step explanation:

x+ 2(7-x) = 11

x+14-2x = 11

-x = -3

x = 3

3+ y = 7

y = 4

x + 2(22-x) = 48

x + 44 -2x = 48

-x = 4

x = -4

-4 + y = 22

y = 26

y = 45-x

x + 2(45-x) = 36

x + 90 -2x = 36

-x = 54

x = -54

-54 + y = 45

y = 99

7 0
3 years ago
Read 2 more answers
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