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3 years ago

Find the 86 term of the arithmetic sequence 18, 21, 24

Mathematics

2 answers:

lukranit [14]3 years ago

7 0

Answer:

263

Step-by-step explanation:

den301095 [7]3 years ago

4 0

Answer:

answer is 273

Step-by-step explanation:

use the arithmetic sequence

a86=18+(86-1)(3)

a86=18+ (85)(3)

273

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Find the solution to the differential equation dx/dy+y/3=0 subject to the initial conditions y(0)=12.

ycow [4]

$\dfrac{\mathrm dx}{\mathrm dy}+\dfrac y3=0\iff\mathrm dx=-\dfrac y3\,\mathrm dy$
$\implies\displaystyle\int\mathrm dx=-\frac13\int\mathrm y\,dy$
$\implies x=-\dfrac16y^2+C$

Given that $y(0)=12$ , we have

$0=-\dfrac16(12)^2+C\implies C=24$

So the particular solution to the initial value problem is

$x=-\dfrac16y^2+24\iff y^2=144-6x$

8 0

3 years ago

NO COPYING

worty [1.4K]

So its going to equal a fraction.

To convert let x equal the repeating decimal (0.1515... it would usually have a line on top of it but I cant type it)

Then examine the number see what place it is in then add another place (in this case it is in the 10000ths place) so multiply it but 10000x

so it would look like: 10000x = 0.1515

then you will move the decimal in to a whole numbers place (0.1515 to 1515.1515

then subtract the decimal 1515.1515- .1515= 1515.

dont forget to subtract from both sides so subtract the 10000x too. (999.515)

then write as fraction form 1515/9999

5 0

3 years ago

Caroline is looking for a tool to measure the mass of a dictionary. Which tool should she use?

Yuri [45]

Answer:

scale

Step-by-step explanation:

scales are used to measure weight

6 0

3 years ago

Read 2 more answers

17x - 400 = 250 + 30x

ruslelena [56]

-50 i hope this helps.

4 0

3 years ago

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What is the solution(s) to the system of equations y = x² +4 and y = 2x + 4

bija089 [108]

Answer:

$(x,y) = (0,4)~ \text{and}~ (x,y) = (2,8)$

Step by step explanation:

$y = x^2 +4~~~~~~~~~...(i)\\\\y = 2x +4~~~~~~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~x^2 +4 = 2x+4\\\\\implies x^2 = 2x\\\\\implies x^2 -2x = 0\\\\\implies x(x-2) = 0\\\\\implies x =0,~ x = 2$

$\text{Substitute x = 0 in eq (i):}\\\\y = 0^2 +4 = 4\\\\\text{Substitute x = 2 in eq (i):}\\\\y=2^2+4 = 4+4 = 8\\\\\text{Hence,}~ (x,y)= \{(2,8), (0,4)\}$

3 0

2 years ago