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FrozenT [24]
3 years ago
10

Natalie draws an acute triangle.

Mathematics
1 answer:
Nesterboy [21]3 years ago
7 0
Polygon, 3 straight sides
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The solution of a certain differential equation is of the form y(t)=aexp(7t)+bexp(11t), where a and b are constants. The solutio
Solnce55 [7]

Answer:

Step-by-step explanation:

Given that the solution of a certain differential equation is of the form

y(t) = ae^{7t} +be^{11t}

Use the initial conditions

i) y(0) =1

1=a(1)+b(1)\\a+b=1 ... I

ii) y'(0) = 4

Find derivative of y first and then substitute

y'(t) = 7ae^{7t} +11be^{11t}\\y'(0) =7a+11b \\7a+11b =4 ...II

Now using I and II we solve for a and b

Substitute b = 1-a in II

7a+11(1-a) = 4\\-4a+11 =4\\-4a =-7\\a = 1.75 \\b = -0.75

Hence solution is

y(t) = 1.75e^{7t} -0.75e^{11t}

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2 years ago
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What are the steps for solving the attached problem?
Keith_Richards [23]

Answer:

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction

Step-by-step explanation:

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2 years ago
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BRAINLIEST!!!!
Len [333]

Answer:

The answer is option 3.

Step-by-step explanation:

Option 3 is correct because it has parentheses around 40 - x, but not the cube itself or the 3rd power if you didn't know what I meant. Anyway, the reason this is correct is because if you look at any order of operations, you will notice that parentheses always comes before powered numbers, so if you were to choose, say option 2, it would be a completely different answer than option 3, not to mention wrong also.

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3 years ago
What I'd the square root of 81
Ludmilka [50]

the square root of 81 is 9

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Write the equation of a line that is parallel to y=-0.75x and that passes through the point (8,0).
zzz [600]

Answer:

y - 0 = -3/4(x - 8)

y = -3/4x + 6

Step-by-step explanation:

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3 years ago
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