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3 years ago

Differentiate the equation in the picture. S(2)=1

Mathematics

1 answer:

Leviafan [203]3 years ago

3 0

Answer:

y(t)''=3y(t)^2-(s2+13)

Step-by-step explanation:d[y(t)]/dt is the same thing as y'(t). Thus:

d[y'(t)]=y''(t); d[y(t)^3]=3.y(t)^(3-1)=3y(t)^2; and d[k.y(t)] is k, where k is a variable or constant that independs on y.

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A video game club charges $8 per month as a membership fee, plus $2.75 for each game rental. Eugenie plans to join and rent no m

Andru [333]

Answer:

22 dollars

Step-by-step explanation:

2.75x5=13.75 dollars

$13.75+$8.00=$21.75

Round it up to the closest number which is $22

6 0

2 years ago

Read 2 more answers

Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....

Nuetrik [128]

Answer:

Li Jing's formula i.e. $\boxed{g_n=-5\cdot \:5^{n-1}}$ is right.

Step-by-step explanation:

Considering the sequence

$-5,\:-25,\:-125,\:-625,...$

A geometric sequence has a constant ratio r and is defined by

$g_n=g_0\cdot r^{n-1}$

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}$

$\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5$

$\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$r=5$

So, the sequence is geometric.

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$g_1=-5$

$r=5$

$g_n=g_1\cdot r^{n-1}$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$g_n=-5\cdot \:5^{n-1}$

Therefore, Li Jing's formula i.e. $\boxed{g_n=-5\cdot \:5^{n-1}}$ is right.

8 0

3 years ago

Which statement is true of z11.7?

Alexxx [7]

Answer

z11.7 is between 1 and 2 standard deviations of the mean.

Step-by-step explanation:

7 0

3 years ago

The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $10

cestrela7 [59]

Let X be the weekly incomes of a large group of executives. The weekly incomes of a large group of executives follows Normal distribution with mean $2000 and standard deviation $100.

μ =2000, σ =100

We have to find z score for income $2100 i.e x=2100

Z = $\frac{x-mean}{standard deviation}$

= $\frac{2100 - 2000}{100}$

Z = 100/100

Z = 1

The z score for income $2100 is 1

6 0

3 years ago

Completethe equationso that it has no solution.5x – 4 = 5 + ?

Naddik [55]

Step-by-step explanation:

5x−4=5

1 Add 44 to both sides.

5x=5+4

2 Simplify 5+45+4 to 99.

5x=9

3 Divide both sides by 55.

x=\frac{9}{5}

4 0

2 years ago