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Scilla [17]
3 years ago
12

Subtract.write each in simplest form 1/2-1/4

Mathematics
1 answer:
MariettaO [177]3 years ago
5 0

Answer:

1/4

Step-by-step explanation:

1/2 is the same as 2/4 as they are equivalent fractions, so we do 2/4-1/4 to get 1/4 which is our answer. Hope this helped!

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3. (6 Points). Solve the initial value problem y'-y.cosx=0, y(pi/2)=2e
Stells [14]

Answer:

y=2e^{sin(x)}

Step-by-step explanation:

Given equation can be  re written as

\frac{\mathrm{d} y}{\mathrm{d} x}-ycos(x)=0\\\frac{\mathrm{d} y}{\mathrm{d} x}=ycos(x)\\\\=> \frac{dy}{y}=cox(x)dx\\\\Integrating  \\ \int \frac{dy}{y}=\int cos(x)dx \\\\ln(y)=sin(x)+c............(i)

Now it is given that y(π/2) = 2e

Applying value in (i) we get

ln(2e) = sin(π/2) + c

=> ln(2) + ln(e) = 1+c

=> ln(2) + 1 = 1 + c

=> c = ln(2)

Thus equation (i) becomes

ln(y) = sin(x) + ln(2)

ln(y) - ln(2) = sin(x)

ln(y/2) = sin(x)

y= 2e^{sinx}

7 0
3 years ago
Can anyone help pls two more
Andreas93 [3]

Answer:

I'll explain below, just follow the directions. I can't directly draw it.

Step-by-step explanation:

find the length and the width of a rectangle whose perimeter is 18 ft

2L + 2W = 18

simplify, divide by 2

L + W = 9

L = (9-W)

:

whose area is 20 square feet

L*W = 20

Replace L with (9-W)

 

W(9-W) = 20

-W^2 + 9W - 20 = 0

Multiply by -1, easier to factor

W^2 - 9W + 20

Factors to

(W-4)(W-5) = 0

Two solutions

W = 4 ft is width, then 5 ft is the Length

and

W = 5 ft is the width, then 4 ft

5 0
3 years ago
What is 10 to the power of 7?
Sophie [7]
100000000 needed to take up space to give you answr
5 0
3 years ago
Read 2 more answers
Melania walked her dog 2 1/5 miles. Cathy walked her dog 1 3/4 times as far as Melania did. How many miles did Cathy walk her do
Step2247 [10]
Make the fractions improper to multiply.2 1/5 becomes 11/5 and 1 3/4 becomes 7/4. multiply the numerators then multiply the denominators. you get 77/20, which is simplest form. don't let teachers feed you that bs about it having to be a mixed number. an improper fraction is way more useful.
5 0
3 years ago
How can I factor -2x^2+2x+4=0 ?
Shtirlitz [24]
Because all are a multiple of 2, you can factor out 2, 2(-x^2+x+2)=0
4 0
3 years ago
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