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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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what property justifies this statement if segment AB is congruent to segment de and segment de is congruent to segment a b
irina [24]

Answer:

If segment AB is congruent to segment DE, then segment DE is congruent to segment AB.

This is the same as if a=b then b=a! which property does that sound like?

Step-by-step explanation:

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4, which property subtracts from both sides?

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10. p --> q, well we know p OR q is not it because OR is a U P AND q is not it because OR is a U

so it must be implies!

But is it p implies q or is it q implies p.

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12. The statement is P then Q Inverses is not P the Q Inverse is not Q converse is Q the P

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Did i put one condition on you to do it or two?

Indirect proof is a type of proof in which a statement to be proved is assumed false and if the assumption leads to an impossibility, then the statement assumed false has been proved to be true.

7 0
2 years ago
Complete the statements about calculating mean using the data set: 4, 6, 1, 9, 12, 3, 11,2
ryzh [129]

Answer: 6

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After: 1, 2, 3, 4, 6, 9, 11, 12

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8 0
3 years ago
Which equation is not a linear equation
Misha Larkins [42]

Answer:

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Step-by-step explanation:

4 0
2 years ago
Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and
Veseljchak [2.6K]

Degree = 4

Maximum possible number of terms for = 5

Solution:

Given expression:

\left(x^{2}+x+2\right)\left(x^{2}-2 x+3\right)

To multiply the trinomial by a trinomial:

\left(x^{2}+x+2\right)\left(x^{2}-2 x+3\right)

Multiply each of the first term by the each of the second term.

            =x^{2}(x^{2}-2 x+3)+x(x^{2}-2 x+3)+2(x^{2}-2 x+3)

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Remove the brackets and arrange the terms with same powers together.

            =x^{4}-2 x^3+x^{3}+3x^2-2 x^2+2x^{2}+3x-4 x+6

            =x^{4}- x^3+3x^2- x+6

The product of the trinomials is x^{4}- x^3+3x^2- x+6.

Degree is the highest power of the variable.

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3 0
2 years ago
Read 2 more answers
What is the answer to x÷8
shusha [124]

I really don't what x equals to but the simplified version of x divided by 8 is x/8.

5 0
3 years ago
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