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Tema [17]
3 years ago
6

What is the value of x 78 53 42 72

Mathematics
1 answer:
bearhunter [10]3 years ago
4 0

Answer:

127+x=180

180-127

x=53

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The sum of the first k terms in the sequence is 118096, find the value of k. The first term is 78732 the common ratio is 1/3.
FrozenT [24]

Answer:

k = 10

Step-by-step explanation:

The sum of k terms of a geometric sequence with first term a1 and common ratio r is given by ...

... Sk = a1·(1 -r^k)/(1 -r)

For the given numbers, this is ...

... 118096 = 78732·(1 -(1/3)^k)/(1 -1/3)

Manipulating this to get the term containing k, we have

... 1 -(2/3)(118096/78732) = (1/3)^k

... 1/59049 = (1/3)^k

Taking logarithms, we get

... -log(59049) = -k·log(3)

... log(59049)/log(3) = k = 10

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4 years ago
At the store, Jason find the volume of a soda pack is 423.9 in.³. If each cylinder shaped can has a height of 6 inches and a dia
Marina86 [1]

Answer : The correct option is, (A) 10

Step-by-step explanation :

First we have to calculate the volume of cylinder shaped can.

Formula used:

Volume of cylinder = π r² h

where,

r = radius of cylinder

h = height of cylinder

Given:

Diameter of cylinder = 3 in

Height of cylinder = 6 in

Radius of cylinder = \frac{Diameter}{2}=\frac{3in}{2}=1.5in

Now putting all the given values in the above formula.

Volume of cylinder = π r² h

Volume of cylinder = 3.14 × (1.5 in)² × 6 in

Volume of cylinder = 42.39 in³

Now we have to determine the number of soda cans are in a pack.

Number of soda cans are in a pack = \frac{\text{Volume of soda pack}}{\text{Volume of cylinder shaped can}}

Number of soda cans are in a pack = \frac{423.9in^3}{42.39in^3}

Number of soda cans are in a pack = 10

Therefore, the number of soda cans in a pack are 10.

8 0
4 years ago
Can someone help me with this
abruzzese [7]

Answer:

c

Step-by-step explanation:If you never know an answer just pick c:)daily life advice

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3 years ago
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