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Tanya [424]
3 years ago
10

What is the common difference between the terms in the following sequence?

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
8 0

Answer:

  -6

Step-by-step explanation:

Take a couple of differences and see:

  11 -17 = -6

  5 -11 = -6

The common difference is -6.

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Solve the differential equation 3ydx+(xy+5x)dy=0
Brrunno [24]

The ODE is separable:

3y\,\mathrm dx+(xy+5x)\,\mathrm dy=0\implies x(y+5)\,\mathrm dy=-3y\,\mathrm dx\implies\dfrac{y+5}y\mathrm dy=-\dfrac3x\,\mathrm dx

Integrating both sides gives

\displaystyle\int\left(1+\frac5y\right)\,\mathrm dy=-3\int\frac{\mathrm dx}x\implies y+5\ln|y|=-3\ln|x|+C

4 0
3 years ago
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I need answers kind of struggling
SIZIF [17.4K]

Answer:

45

Step-by-step explanation:

1/200*90=9/20

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5 0
2 years ago
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saveliy_v [14]

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3 years ago
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The sun causes a flagpole to cast a shadow that measures 85 ft. from the base of the pole. At the same time of the day, a 6.5 ft
valentina_108 [34]

Answer:

Length of the shadow of player's sister is 5.25 feet.

Step-by-step explanation:

From the figure attached,

AB represents the basketball player and DE is his little sister.

Height of basketball player = 6.5 ft

Length of shadow of the player = 9.75 ft

Height of player's sister = 3.5 ft

Since, ΔABC and ΔEDC are the similar triangles, their corresponding sides will be proportional.

\frac{AB}{DE}= \frac{ED}{DC}

\frac{6.5}{3.5}= \frac{9.75}{x}

x = \frac{9.75\times 3.5}{6.5}

x = 5.25 ft

Therefore, length of the shadow of player's sister is 5.25 feet.

4 0
3 years ago
#2) Choose the graph that matches the equation below.<br> y = 1/2x+1<br> A<br> B<br> C<br> D
frosja888 [35]
For questions like this search up desmos graphing and put that equation in.
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