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4 years ago

Jessie estiments the weight of her cat to be 10 pounds the actual weight of the cat is 13.75 pounds fine the percent error

Mathematics

1 answer:

GarryVolchara [31]4 years ago

3 0

Answer:

The percent error would be 27.27%

Step-by-step explanation:

percent error = \frac{measured - actual}{actual} x 100%

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A differential equation and a nontrivial solution f are given below. Find a second linearly independent solution using reduction

ki77a [65]

Answer:

The second linearly independent solution is

g(t) = = -(4/9)(3t + 1)

Step-by-step explanation:

Given the differential equation

tx'' - (3t + 1)x' + 3x = 0 ...................(1)

and a solution

f(t) = 4e^(3t)

We want to find a second linearly independent solution g(t), using the method of reduction of order.

Let this second solution be

x = uf(t)

x = u. 4e^(3t) ...................................(2)

x' = u'. 4e^(3t) + u. 12e^(3t) ...........(3)

x'' = u''. 4e^(3t) + u'. 12e^(3t) + u'. 12e^(3t) + u. 36e^(3t)

= 4u''e^(3t) + 24u'e^(3t) + 36ue^(3t) .............(4)

Using the values of x, x', and x'' in (2), (3), and (4) in (1), we have

t[4u''e^(3t) + 24u'e^(3t) + 36ue^(3t)] - (3x + 1)[u'. 4e^(3t) + u. 12e^(3t)] + 3u. 4e^(3t) = 0

4tu''e^(3t) + (12t - 4)u'e^(3t) = 0......(5)

Let w = u'

then w' = u''

(5) now becomes

4tw'e^(3t) + (12t - 4)we^(3t) = 0

4tw'e^(3t) = (4 - 12t)we^(3t)

w'/w = (4 - 12t)/4t = (1/t) - 3

Integrating this, assuming all constants of integration are 0, we have

lnw = lnt - 3t

w = e^(lnt - 3t) = e^(lnt)e^(-3t)

w = te^(-3t)

But remember w = u'

=> u' = te^(-3t)

Integrating this, by part, taking constant of integration as 0, we have

u = -(1/9)(3t + 1)e^(-3t)

Using this in (2)

x = 4 [-(1/9)(3t + 1)e^(-3t)]e^(3t)

= -(4/9)(3t + 1)

And this is what we are looking for.

8 0

3 years ago

brooke opens a credit card with an APR of 28.99%. how much is charged in interest this month if her balance is $500?

Varvara68 [4.7K]

To find the interest accrued for the month, you will use the interest formula I = prt. P stands for the principal (the amount of money borrowed), r is the interest rate, and t is the time period. Because the interest rate is an annual (yearly) interest rate, you will use the fraction 1/12 in your calculation. The math would be $500 x 0.2899 x 1/12. This equals an interest charge of $12.08.

4 0

4 years ago

The number 98 is decreased to 97

Sonbull [250]

Answer:

One was subtracted.

4 0

3 years ago

Read 2 more answers

Possible names for the following angle -picture is shown

svlad2 [7]

Answer:

EFB

Step-by-step explanation:

E,F and B I believe

5 0

3 years ago

What is a mean median and mode

Anarel [89]

Answer:

Mean, median, and mode are three kinds of "averages".

Step-by-step explanation:

Find the mean, median, mode, and range for the following list of values:

13, 18, 13, 14, 13, 16, 14, 21, 13

The mean is the usual average, so I'll add and then divide:

(13 + 18 + 13 + 14 + 13 + 16 + 14 + 21 + 13) ÷ 9 = 15

Note that the mean, in this case, isn't a value from the original list. This is a common result. You should not assume that your mean will be one of your original numbers.

The median is the middle value, so first I'll have to rewrite the list in numerical order:

13, 13, 13, 13, 14, 14, 16, 18, 21

There are nine numbers in the list, so the middle one will be the (9 + 1) ÷ 2 = 10 ÷ 2 = 5th number:

13, 13, 13, 13, 14, 14, 16, 18, 21

So the median is 14.

The mode is the number that is repeated more often than any other, so 13 is the mode.

The largest value in the list is 21, and the smallest is 13, so the range is 21 – 13 = 8.

mean: 15

median: 14

mode: 13

range: 8

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4 years ago