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Bas_tet [7]
3 years ago
15

If the general solution of a differential equation is ​y(t)equals=Upper C e Superscript negative 4 t Baseline plus 7Ce−4t+7​, wh

at is the solution that satisfies the initial condition ​y(0)equals=1010​?
Mathematics
2 answers:
Maru [420]3 years ago
8 0

Answer:

y(t) = 3e^{-4t}+7

Step-by-step explanation:

y(t) = Ce^{-4t}+7

At <em>y</em>(0) = 10, when <em>t</em> = 0, <em>y</em> = 10.

y(0) = 10 = Ce^{-4\times0}+7

10 = C+7

C = 3

Hence, the solution is

y(t) = 3e^{-4t}+7

Anuta_ua [19.1K]3 years ago
5 0

Answer:

a

Step-by-step explanation:

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SashulF [63]
I believe it’s number 2.
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Find the volume of the composite solid. Round your answer to the nearest hundredth.
Vera_Pavlovna [14]

Answer: see my work

Step-by-step explanation:

volume is lwh

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2 years ago
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You buy hamburgers at a fast food restaurant. A hamburger costs $0.49. You must have at most $3 to spend. Write an inequality fo
KIM [24]

Answer:

x ≤  6.12

Step-by-step explanation:

If the cost of 1 hamburger in a restaurant is $0.49, the amount of hamburger $3 can buy is expressed as shown .

$0.49 = 1

$3 ≤ x (since you have maximum of $3 to spend. It cant be more than that)

cross multiply to find the expression for x.

$0.49 * x  ≤  $3 * 1

$0.49x  ≤  $3

Divide both sides by $0.49

$0.49x/$0.49  ≤  $3/$0.49

x ≤  $3/$0.49

x ≤  6.12

The number of hamburgers you can buy is represented by the inequality x ≤  6.12

4 0
2 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%3F%7D%7B5%7D%20%2A%20%5Cfrac%7B10%7D%7B8%7D%20%3D1.5%5C%5C" id="TexFormula1" title=
Serggg [28]

Answer:

\boxed{\sf \huge \boxed{ \sf ?} = 6}

Step-by-step explanation:

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4 0
3 years ago
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Aneli [31]

Answer:

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Step-by-step explanation:

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x = log(36)/log(14) - 1 . . . . Subtract both sides by 1.

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Note that the second problem is similar  to the first.

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