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lys-0071 [83]
3 years ago
13

PLEASE HELP! Math (recursive sequences)

Mathematics
1 answer:
stira [4]3 years ago
6 0

Answer:

a₄ = 123

Step-by-step explanation:

a₁ = 1

a₂ = (1)² + 2

a₂ = 3

a₃ = (3)² + 2

a₃ = 11

a₄ = (11)² + 2

a₄ = 123

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Simultaneous Equations <br> 2x+4y=22 <br> 2x+2y=15
Aleks04 [339]

Answer:

x = 4

y = \frac{7}{2}

Step-by-step explanation:

Ummmm

I'm not sure if this is corrrect but this is what I got

So first you solve 2x+4y=22 to find x

and you get x = -2y+11

Then you have to subtitute -2y+11 for x in 2x+2y=15

which you then get y= \frac{7}{2}

After you have to subttitute y= \frac{7}{2}  for y in x = -2y+11

which you get as x=4

Finally you get the answer as:

x = 4

y = \frac{7}{2}

5 0
3 years ago
Find the area each sector. Do Not round. Part 1. NO LINKS!!<br><br>​
sladkih [1.3K]

Answer:

\textsf{Area of a sector (angle in degrees)}=\dfrac{\theta}{360 \textdegree}\pi r^2

\textsf{Area of a sector (angle in radians)}=\dfrac12r^2\theta

17)  Given:

  • \theta = 240°
  • r = 16 ft

\textsf{Area of a sector}=\dfrac{240}{360}\pi \cdot 16^2=\dfrac{512}{3}\pi \textsf{ ft}^2

19)  Given:

  • \theta=\dfrac{3 \pi}{2}
  • r = 14 cm

\textsf{Area of a sector}=\dfrac12\cdot14^2 \cdot \dfrac{3\pi}{2}=147 \pi \textsf{ cm}^2

21)  Given:

  • \theta=\dfrac{ \pi}{2}
  • r = 10 mi

\textsf{Area of a sector}=\dfrac12\cdot10^2 \cdot \dfrac{\pi}{2}=25 \pi \textsf{ mi}^2

23)  Given:

  • \theta = 60°
  • r = 7 km

\textsf{Area of a sector}=\dfrac{60}{360}\pi \cdot 7^2=\dfrac{49}{6}\pi \textsf{ km}^2

3 0
2 years ago
A 500 g model train car traveling at 0.8 m/s collides with a 300 g stationary car. The cars hook up and move off down the track
sdas [7]

Answer:

0.5ms^{-1}

Step-by-step explanation:

Let v be the speed after the collision of both the cars.

Now, momentum is given by: mass × velocity, then by equating the total momentum before and after the collision of the two cars, we get

500{\times}0.8+300{\times}0=(500+300)v

⇒400+0=800v

⇒400=800v

⇒v=0.5ms^{-1}

Thus, they are moving at the velocity of 0.5ms^{-1}

3 0
3 years ago
Read 2 more answers
The locus of points idea allows you to define a circle without giving a numerical value for the radius?
Lunna [17]

<span>The answer would be yes, the locus of points idea allows you to define a circle without giving a numerical value for the radius.

A locus of points</span> is the set of <span>points<span>, and only those </span>points</span>, that satisfies given conditions. The locus of points at a given distance from a given point is a circle whose center is the given point<span> and whose radius is the given distance.</span>

4 0
3 years ago
Read 2 more answers
Pls help! On the day of the big game, 298 marching band members were waiting to get on the
elixir [45]

Answer:

here u go!

Step-by-step explanation:

each bus can fit 45 people and there are 298 TOTAL. there will be an extra bus with less than 45 people btw.

first divide 298 by 45, you will get 6.2 something. however, you CANNOT have .2 of a bus. the 6 represents 6 buses of 45 people.

now taking that 6 again, multiply it by 45. 45 x 6 = 270. we have 28 people left over, this adds an extra bus.

7 buses will be needed to get them to the game.

4 0
2 years ago
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