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8_murik_8 [283]
3 years ago
10

Simplify the expression. (–2 – c)(–1)

Mathematics
1 answer:
Akimi4 [234]3 years ago
4 0

Answer: 2+c

Step-by-step explanation: Simplify the expression.

Hope this helps you out! ☺

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Consider the initial value problem:
Inessa [10]

Answer:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

Step-by-step explanation:

The given initial value problem is;

y''-5y'+6y=-5\sin(2t)---(1)\\y(0)=-5,y'(0)=2

Let

u(t)=y(t)----(2)\\v(t)=y'(t)----(3)

Differentiating both sides of equation (1) with respect to t, we obtain:

u'(t)=y'(t)---(4)\\ \\\implies u'(t)=v(t)---(5)

Differentiating both sides of equation (2) with respect to t gives:

v'(t)=y''(t)----(6)

From equation (1),

y''=5y'-6y-5\sin(2t)\\y''=5v(t)-6u(t)-5\sin(2t)\\\implies v'(t)=5v(t)-6u(t)-5\sin(2t)----(7)

Putting t=0 into equation (2) yields

u(0)=y(0)\\\implies u(0)=-5

Also putting t=0 into equation (3)

u'(0)=y'(0)\\u'(0)=2

The system of first order equations is:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

3 0
3 years ago
* PLEASE HELP *
LiRa [457]
The first one is 135 per hour if you barely went 90 miles in a hour in a half, and the second one it is 1/3+1/3+1/3 you add 2 more thirds so it means you add 2 forths 1/4/+1/4+1/4=3/4 so you paint 3/4's of the wall
5 0
3 years ago
What is 8/15 + (-6/15)=
patriot [66]

Answer:

0.1333 or \frac{2}{15}

Step-by-step explanation:

The attached image contains the steps.

8 0
2 years ago
What is the missing value
Vikentia [17]
If A is equal to 30, and A+B equals 42. That means B equals 12. So, if the value increased with the same rate of change, it would be 54. This is because 30 plus 12 is 42. 42 plus 12 would equal 54.
4 0
3 years ago
A cement walkway of uniform width has been built around an in-ground rectangular pool. the area of the walkway is 1344 square fe
Elza [17]

Answer:

6 feet.

Step-by-step explanation:

Dimensions of the Pool =80 feet long by 20 feet wide

Area of the walkway =1344 square feet.

If the width of the walkway=w

  • Length of the Larger Rectangle =80+2w
  • Width of the Larger Rectangle =20+2w

Area of the Walkway =Area of the Larger Rectangle - Area of the Pool

1344=(80+2w)(20+2w)-(80*20)\\1344=80*20+160w+40w+4w^2-80*20\\4w^2+200w=1344\\4w^2+200w-1344=0\\We factorize\\4(w^2+50w-336)=0\\4(w^2-6w+56w-336)=0\\w(w-6)+56(w-6)=0\\(w-6)(w+56)=0\\w-6=0$ or $ w+56=0\\w=6$ ft or $ w=-56$ \\Therefore, the width of the walkway , w=6 feet.

6 0
3 years ago
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