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3 years ago

A _____ is a section on a number line where few to no data points fall.

1 answer:

8 0

<span>The geometric term described as an infinite set of points that has length but not width is called a line. It has a negligible with and depth. In geometry, a line located in the plane is defined as the set of points whose coordinates satisfy a given linear equation. </span>

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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

A rectangle has a perimeter of 150 feet and a base of 45 feet. What is the height?

frez [133]

Answer:

Step-by-step explanation:

45+45 = 90

150-90 = 60

60/2 = 30

I think...

8 0

3 years ago

What is the coefficient of q<br> (2/3q-3/4) and -1/6q-r)

kirza4 [7]

The coefficient in (2/3q-3/4) is 2/3 and in (-1/6q-r) is -1/6

4 0

3 years ago

You earn $42 for washing 6 cars. How much do you earn for washing 3 cars? Find the unit rate.

antoniya [11.8K]

Answer:

21$

Step-by-step explanation:

42÷6=7

7×3=21

6 0

3 years ago

Read 2 more answers

one market vendor says to the other: "if i were to give you 10 apples, we'd both have the same number of apples. but if you were

Allushta [10]

Answer:

One market vendor has 70, and the other has 50.

Step-by-step explanation:

Hope I helped!

4 0

2 years ago