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kirill115 [55]
3 years ago
6

Sequences:

Mathematics
1 answer:
IrinaK [193]3 years ago
7 0

Answer:

A.

  • aₙ = (2n + 3)/4

<u>The first 5 terms:</u>

  • a₁ = (2*1 + 3) / 4 = 5/4
  • a₂ = (2*2 + 3) / 4 = 7/4
  • a₃ = (2*3 + 3)/ 4 = 9/4
  • a₄ = (2*4 + 3) / 4 = 11/4
  • a₅ = (2*5 + 3) / 4 = 13/4

B.

  • aₙ = (n - 3)/(n - 2)

<u>The first 5 terms:</u>

  • a₁ = (1 - 3) / (1 - 2) = 2
  • a₂ = (2 - 3) / (2 - 2) = undefined
  • a₃ = (3 - 3)/ (3 - 2) = 0
  • a₄ = (4 - 3) / (4 - 2) = 1 / 2
  • a₅ = (5 - 3) / (5 - 2) = 2 / 3
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Answer:

Step-by-step explanation:

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4 years ago
Can someone help with #4<br><br> 15 points
BigorU [14]

I would check my math but 4/3 = 1.3 x 18= 24 divided by 2 for radius would be 12x12=144 x pie or 3.14 would be 452.16

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3 years ago
Can someone help me ​
ICE Princess25 [194]

Answer:

S=49

Step-by-step explanation:

Any triangle has an interior angle of 180.

So just add them up and set the sum equal to 180 degrees.

2s+s+33=180

3s=180-33

3s=147 .   Divide both sides by 3 to isolate variable s

s=49

7 0
2 years ago
Read 2 more answers
Find the width of the rectangular prism when the surface area is 208 square centimeters.
ozzi
SA=2(lw+wh+lh) This is the formula for finding the surface area of a rectangular prism, where SA is surface area, l is length, w is width, and h is height.

208=2(lw+wh+lh)
104=lw+wh+lh Here, I divided both sides by 2 to get ride of the 2.

Now, I used prime factorization to find out all the prime factors of 104, which are 2, 2, 2, and 13. Since rectangular prisms only have 3 dimensions, I needed to combine two of the prime factors. In this case, I can either combine 2 of the 2s to get 2, 4, and 13 or I can combine 13 with one of the 2s to get 26, 2, and 2.

If my dimensions were 2, 4, and 13...
my surface area would be 172 sq cm.

If my dimensions were 2, 2, and 26...
my surface area would be 208 sq cm.

Hence, the width of the rectangular prism when the surface area is 208 square centimeters can be either 2 or 26.
7 0
4 years ago
A company is designing a new cylindrical water bottle. The volume of the bottle will be 179 cmcubed. The height of the water bot
tresset_1 [31]

Answer:

The radius of the water bottle is 2.72cm

Step-by-step explanation:

In this question, we are concerned with calculating what the radius of the cylindrical water bottle is given its volume and height.

Mathematically, the volume of a cylinder is V = pi * r^2 * h

From the question, we know that V = 179 cm^3. , h = 7.7cm while r = ?

we substitute these values into the volume equation.

179 = pi * r^2 * 7.7

179 = 3.14 * r^2 * 7.7

179 = 24.178 * r^2

r^2 = 179/24.178

r^2 = 7.403

r = square root 7.403

r = 2.72 cm

7 0
3 years ago
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