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WITCHER [35]
2 years ago
12

What’s the Question? Selena ran farther than Manny.

Mathematics
1 answer:
lara31 [8.8K]2 years ago
5 0

If Selena ran x miles and manny ran y miles, who ran more miles

x=any number

y=any number smaller than x

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Graphing standard form inequalities help plz
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Answer:

The axis of symmetry

The x-value of the vertex

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1 and 2 thirds + 1 and a half ?
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1 2/3 + 1 1/2

Step-by-step explanation:

3 1/6

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For the equation W = -175t + 8,750, how much water is left after 6 hours?
barxatty [35]

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7,700

Step-by-step explanation:

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3 years ago
If y=e5t is a solution to the differential equation
a_sh-v [17]

Answer:

k = 30, y(t) = C_1e^{5t}+C_2e^{6t}

Step-by-step explanation:

Since y=e^{5t} is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}

Then, replacing the derivatives in the equation we have:

25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0

Since e^{5t} is a positive function, we have that

25-55+k = 0 \rightarrow k = 30.

Now, consider a general solution y(t) = Ae^{rt}, A \in \mathbb{R}, then, by calculating the derivatives and replacing them in the equation, we get

Ae^{rt}(r^2-11r+30)=0

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

y(t) = C_1e^{5t}+C_2e^{6t}

8 0
3 years ago
Find the equation of the vertical line through (7,-3)
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X = 7
Is a vertical line that passes through (7,-3).
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3 years ago
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