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2 years ago

PLS HELP ME PLS ITS DUE

Mathematics

1 answer:

blondinia [14]2 years ago

5 0

C) 3y(2y+9)

Step-by-step explanation:

you have to divide 6 and 2 then you have to use a factor of 27 to get 9.

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Solve 5y'' + 3y' – 2y = 0, y(0) = 0, y'(O) = 2.8 y(t) =( Preview

Karolina [17]

Answer:

$y=\frac{4}{5}e^{t}-\frac{4}{5}e^{-\frac{2}{5}t}$

Step-by-step explanation:

The given equation 5y'' + 3y' - 2y =0 can be written as

$(5D^{2}+3D-2)y(t)=0$

Solving for complementary function we have Roots of $(5D^{2}+3D-2)$ as follows

$(5D^{2}+5D-2D-2)$

$5D(D+1)-2(D+1)=0\\\\(5D-2)(D+1)=0\\\\\therefore D=-1\\D=+2/5$

Thus the complementary function becomes

y= $y=c_{1}e^{m_{1}t}+c_{2}e^{m_{2}t}$

where

$m_{1},m_{2}$ are calculated roots

thus solution becomes

$y=c_{1}e^{-t}+c_{2}e^{\frac{2}{5}t}$

Now to solve for the coefficients we use the given boundary conditions

$y(0)=0\\\\\therefore c_{1}+c_{2}=0\\\\y'(0)=-c_{1}+\frac{2}{5}c_{2}=2.8\\\\\therefore c_{2}+\frac{2}{5}c_{2}=2.8\\\\c_{2}=2\\\\\therefore c_{1}=-2}$

hence the solution becomes

$y=-2e^-{t}+2e^{\frac{2}{5}t}$

8 0

2 years ago

I need help please

vagabundo [1.1K]

For the area you need the do length x width

4 0

2 years ago

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric

Zanzabum

Answer:

a) (1215, 1297)

b) (1174, 1338)

c) (1133, 1379)

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 1256

Standard Deviation, σ = 41

Empirical Rule:

Also known as 68-95-99.7 rule.
It states that almost all the data lies within three standard deviation for a normal data.
About 68% of data lies within 1 standard deviation of mean.
About 95% of data lies within two standard deviation of mean.
About 99.7% of data lies within 3 standard deviation of mean.

a) range of years centered about the mean in which about 68% of the data lies

$\mu \pm 1(\sigma)\\=1256 \pm 41\\=(1215, 1297)$

68% of data will be found between 1215 years and 1297 years.

b) range of years centered about the mean in which about 95% of the data lies

$\mu \pm 2(\sigma)\\=1256 \pm 2(41)\\=1256 \pm 82\\=(1174, 1338)$

95% of data will be found between 1174 years and 1338 years.

c) range of years centered about the mean in which about all of the data lies

$\mu \pm 3(\sigma)\\=1256 \pm 3(41)\\=1256 \pm 123\\=(1133, 1379)$

All of data will be found between 1133 years and 1379 years.

3 0

3 years ago

Chloe has a box that is 15 cm long, 4 cm wide, and 9 cm tall. How many 1 cm by 1 cm by 1 cm dice can Chloe fit into the box?

ElenaW [278]

540 dice should fit into the box

5 0

2 years ago

What is the most reasonable for the weight of a table and four chairs? A 19 pounds B 90 pounds C 900 pounds D 9 tons

Rom4ik [11]

Answer:

B. 90 pounds.

Step-by-step explanation:

19 pounds would be too light, 900 pounds would be too heavy, and 9 tons is equal to 18,000 pounds which is wayy too heavy.

Hope this helps!

7 0

2 years ago

PLS HELP ME PLS ITS DUE​

PLS HELP ME PLS ITS DUE