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Elina [12.6K]
3 years ago
6

114 is the product of dianes age and 6 use the variable d to represent diane age​

Mathematics
1 answer:
ss7ja [257]3 years ago
6 0

Answer:

D= 19

Step-by-step explanation:

114 ÷ 6 is 19

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4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o
harina [27]

Answer:

y=3e^{-4t}

Step-by-step explanation:

y''+5y'+4y=0

Applying the Laplace transform:

\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0

With the formulas:

\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)

\mathcal{L}[y']=s\mathcal{L}[y]-y(0)

\mathcal{L}[x]=L

s^2L-3s+5sL-3+4L=0

Solving for L

L(s^2+5s+4)=3s+3

L=\frac{3s+3}{s^2+5s+4}

L=\frac{3(s+1)}{(s+1)(s+4)}

L=\frac3{s+4}

Apply the inverse Laplace transform with this formula:

\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}

y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}

7 0
3 years ago
The function C(x) = 25x + 50 represents the labor cost (in dollars) for Certified Remodeling to build a deck, where x is
Whitepunk [10]

Answer:

  • Master Remodeling

Step-by-step explanation:

<em>Original question is attached</em>

<h3>Option 1</h3>
  • C(x) = 25x + 50
  • C(8) = 25*8 + 50 = $250
<h3>Option 2</h3>
  • As per table, the rate of change is $30 per 2 hours.
  • So 8 hours will cost
  • $190 + $30 = $220

As we see the second option is cheaper so we should hire the Master Remodeling

5 0
3 years ago
Peter buried a treasure chest on a remote island and is.making a map so he can find it later. One of the key landmarks in the ar
PIT_PIT [208]
Where’s the rest of the question?
5 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B11%7D%7B7%7D%20%20%5Cdiv%20%20%5Cfrac%7B7%7D%7B10%7D%20" id="TexFormula1" title="
AysviL [449]

11/7÷7/10

=11/490

Hope this helps!

6 0
3 years ago
Read 2 more answers
PLEASE HELP!
wariber [46]

Answer: The maximum value: P = 6x + 7y - 2 is 84 at (5,8).

Step-by-step explanation:

Here, Object of constraint P(max) = 6x + 7y - 2.

And, the system of constraints,

x≤5,   y≤(1/5)x + 7,   x≥0,   y≥0        

Since, x= 5 is a line parallel to y-axis.

And  at origin it is giving 0≤5 ( false)

Thus the area of inequality x≤5 does not contain the origin.

Now, x -intercept and y-intercept of line y=(1/5)x + 7 are (-35,0) and (0, 7) respectively.

Also, at (0, 0),  0 ≤(1/5)×0 + 7 (true)

Therefore, inequality y≤(1/5)x + 7 will contain the origin.

Now, x≥0,   y≥0  shows the first quadrant.

Thus, we get feasible region ABCD.

In which at A≡(0,7), P = 49.

At B≡(5,8), P= 84,

At C≡(5,0), P= 30,

And, D≡(0,0), P= 0

Therefore at B, P is maximum.

8 0
3 years ago
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