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3 years ago

You complete 40% of your homework problems before dinner. what fraction of the problems did you complete before dinner?

Mathematics

2 answers:

Doss [256]3 years ago

8 0

Answer:

2/5

Step-by-step explanation:

Rzqust [24]3 years ago

4 0

Answer:

40/100

Step-by-step explanation:

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Positive numbers must have the positive sign (+) in front of them.<br><br><br> True False

torisob [31]

No
A number that doesn’t have any sign in front of it is naturally considered as positive.
But, negative numbers should have a negative sign in front of them though.

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4 years ago

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Write an equation for a line with a slope of<br> 3 and a y-intercept of (0, 2).

DaniilM [7]

Answer:

Step-by-step explanation:

y - 2 = 3(x - 0)

y - 2 = 3x - 0

y = 3x + 2

6 0

4 years ago

Find the value of 7+b when b=20

Klio2033 [76]

Answer:

Step-by-step explanation:

b= 20

7+20= 27

answer is 27

5 0

3 years ago

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Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview

svetlana [45]

Answer: The required solution is

$y=(-2+t)e^{-5t}.$

Step-by-step explanation: We are given to solve the following differential equation :

$y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Let us consider that

$y=e^{mt}$ be an auxiliary solution of equation (i).

Then, we have

$y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.$

Substituting these values in equation (i), we get

$m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.$

So, the general solution of the given equation is

$y(t)=(A+Bt)e^{-5t}.$

Differentiating with respect to t, we get

$y^\prime(t)=-5e^{-5t}(A+Bt)+Be^{-5t}.$

According to the given conditions, we have

$y(0)=-2\\\\\Rightarrow A=-2$

and

$y^\prime(0)=11\\\\\Rightarrow -5(A+B\times0)+B=11\\\\\Rightarrow -5A+B=11\\\\\Rightarrow (-5)\times(-2)+B=11\\\\\Rightarrow 10+B=11\\\\\Rightarrow B=11-10\\\\\Rightarrow B=1.$