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Debora [2.8K]
3 years ago
6

Can anyone help me please

Mathematics
2 answers:
zaharov [31]3 years ago
7 0

Answer:

1. is 45/2

2. is 12/5

3. is 4/5

4. is 14

5. is 28

6. is 6         hope this helps :)

Step-by-step explanation:

Makovka662 [10]3 years ago
5 0

Answer:

the median height of the plants

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y=c1e^x+c2e^−x is a two-parameter family of solutions of the second order differential equation y′′−y=0. Find a solution of the
vagabundo [1.1K]

The general form of a solution of the differential equation is already provided for us:

y(x) = c_1 \textrm{e}^x + c_2\textrm{e}^{-x},

where c_1, c_2 \in \mathbb{R}. We now want to find a solution y such that y(-1)=3 and y'(-1)=-3. Therefore, all we need to do is find the constants c_1 and c_2 that satisfy the initial conditions. For the first condition, we have:y(-1)=3 \iff c_1 \textrm{e}^{-1} + c_2 \textrm{e}^{-(-1)} = 3 \iff c_1\textrm{e}^{-1} + c_2\textrm{e} = 3.

For the second condition, we need to find the derivative y' first. In this case, we have:

y'(x) = \left(c_1\textrm{e}^x + c_2\textrm{e}^{-x}\right)' = c_1\textrm{e}^x - c_2\textrm{e}^{-x}.

Therefore:

y'(-1) = -3 \iff c_1\textrm{e}^{-1} - c_2\textrm{e}^{-(-1)} = -3 \iff c_1\textrm{e}^{-1} - c_2\textrm{e} = -3.

This means that we must solve the following system of equations:

\begin{cases}c_1\textrm{e}^{-1} + c_2\textrm{e} = 3 \\ c_1\textrm{e}^{-1} - c_2\textrm{e} = -3\end{cases}.

If we add the equations above, we get:

\left(c_1\textrm{e}^{-1} + c_2\textrm{e}\right) + \left(c_1\textrm{e}^{-1} - c_2\textrm{e}  \right) = 3-3 \iff 2c_1\textrm{e}^{-1} = 0 \iff c_1 = 0.

If we now substitute c_1 = 0 into either of the equations in the system, we get:

c_2 \textrm{e} = 3 \iff c_2 = \dfrac{3}{\textrm{e}} = 3\textrm{e}^{-1.}

This means that the solution obeying the initial conditions is:

\boxed{y(x) = 3\textrm{e}^{-1} \times \textrm{e}^{-x} = 3\textrm{e}^{-x-1}}.

Indeed, we can see that:

y(-1) = 3\textrm{e}^{-(-1) -1} = 3\textrm{e}^{1-1} = 3\textrm{e}^0 = 3

y'(x) =-3\textrm{e}^{-x-1} \implies y'(-1) = -3\textrm{e}^{-(-1)-1} = -3\textrm{e}^{1-1} = -3\textrm{e}^0 = -3,

which do correspond to the desired initial conditions.

3 0
3 years ago
A survey of magazine subscribers shows that 19% rented a car during the past twelve months for business reasons, 52% rented a ca
irinina [24]

Answer:

a. 0.68 or 68%

b. 0.32 or 32%

Step-by-step explanation:

a. The probability that a subscriber rented a car during the past 12 months for  business or personal reasons (P(R)) is given by the probability that they rented a car for business reasons (P(B)=0.19), added to the probability that they rented for personal reasons (P(P)=0.52), subtracted by the probability that they rented for both reasons (P(B and P) = 0.03):

P(R)=P(B)+P(P)-P(B\cap P)\\P(R) = 0.19+0.52-0.03\\P(R)=0.68

b. The probability that a subscriber did not rent a car during the past 12 months  for either business or personal reasons (P(N)) is 100% minus the probability that they rented a car (P(R) = 0.68).

P(N) = 1-P(R) = 1-0.68\\P(N) =0.32

4 0
4 years ago
X · 7/3 = 1 I need help
Y_Kistochka [10]

Answer:

I gotchu

Step-by-step explanation:

3/7. have a good day child good luck on your homework:)

8 0
3 years ago
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Find the midpoint of BD.
myrzilka [38]

Answer: a/2 a/2

Step-by-step explanation:

same answer for both

8 0
3 years ago
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How many additional kilowatt hours of<br> electricity are produced?
hodyreva [135]
28000 because the engry is hot and the Air condition in the house make it cool so it need more energy then it go to 70000000
7 0
3 years ago
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