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Rus_ich [418]
3 years ago
6

Three boxes are stacked one on top of the other. one box is 2 feet 7 inches tall, one is 3 feet 11 inches tall, and one is 6 fee

t 9 inches tall. how high is the stack?
Mathematics
1 answer:
Marianna [84]3 years ago
4 0
2 ft   7 in
3 ft  11 in
6 ft  9 in
-----------------add
11 ft  27 in........and since 1 ft = 12 inches, then 27 inches = 2 ft 3 inches

so it would become : 13 ft  3 inches <==
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How do you do these questions?
Iteru [2.4K]

Step-by-step explanation:

∑ₙ₌₀°° aₙ xⁿ has a radius of convergence of 2, which means│x│< 2.

∑ₙ₌₀°° aₙ 3ⁿ/2ⁿ means x = 3/2.  Since │3/2│< 2, the series converges.

i) ∑ₙ₌₀°° bₙ xⁿ converges when x = -4.

∑ₙ₌₀°° bₙ (-4)ⁿ = ∑ₙ₌₀°° (-1)ⁿ bₙ (4)ⁿ.  This is an alternating series.  So it converges if lim(n→∞) bₙ (4)ⁿ = 0.  Which means lim(n→∞) bₙ < (¼)ⁿ.

Therefore bₙ (4)ⁿ < (r)ⁿ where r < 1, and ∑ₙ₌₀°° bₙ (4)ⁿ converges by comparison test.

ii) From (i), we found lim(n→∞) bₙ < (¼)ⁿ.  Therefore, ∑ₙ₌₀°° bₙ converges by comparison test.

ii) ∑ₙ₌₀°° (-1)ⁿ bₙ (9)ⁿ = ∑ₙ₌₀°° bₙ (-9)ⁿ, so x = -9.

However, we do not know if -9 is within the interval of convergence.  So there is not enough information.

7 0
3 years ago
The pyramid shown has a square base that is 32 centimeters on each side. The slant height is 24 centimeters. What is the lateral
masya89 [10]
L.S.A.=1/2pl where p represents the perimeter of the base and l the slant height.
L.S.A. = ½(4*32)(24)
L.S.A. = ½ (128)(24)
L.S.A. =1/2(3072)
L.S.A. = 1536 cm
6 0
3 years ago
Read 2 more answers
A 6th grade class did a weekend fitness challenge.
jarptica [38.1K]

Answer:

Doubt I'm right but I'm gonna say 110%.

3 0
3 years ago
Could yall maybe give me an example of the fifth law in the law of exponents with an answer? The zero exponent property.
Dmitrij [34]
If the exponent is 0 it always equals 1
3 0
3 years ago
Read 2 more answers
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
notka56 [123]

Answer:

30%

Step-by-step explanation:

The options are 3,4,5,6,7,8 for a total of 6 choices

odd number: 3,5,7 = 3 options

P (odd number) = number of options / total choices

                          =3/6

                           =1/2

Now we pull our odd choice out and keep it ( assume 3)

The options are ,4,5,6,7,8 for a total of 5 choices

even number: 4,6,8 = 3 options

P (even number) = number of options / total choices

                            = 3/5

P (odd, no replacement, even) = 1/2* 3/5 = 3/10

Changing to a percent = 30/100 = 30%

6 0
4 years ago
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