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Ipatiy [6.2K]
3 years ago
14

What is the 8th term of this sequence 2,8,18,36,66, 112,178

Mathematics
1 answer:
hjlf3 years ago
6 0
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50

Step-by-step explanation:

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9. A blueprint of a house plan uses a scale in
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Answer:

The length on the blueprint for an actual length of 65 feet is 16\frac{1}{4}\ inches

Step-by-step explanation:

Given:

Scale of the blueprint is \frac{1}{4}\ in=1\ foot

Length of one side of the house is 65 feet.

Now, as per given data;

1 foot in actual = \frac{1}{4}\ in on the blueprint.

Therefore, using unitary method, we can find find the length on the blueprint for an actual length of 65 feet by multiplying 65 and \frac{1}{4}. Therefore,

Length on the blueprint for 65 feet is given as:

=\frac{1}{4}\times 65\\\\=\frac{65}{4}\\\\=16\frac{1}{4}\ inches

Therefore, the length on the blueprint for an actual length of 65 feet is 16\frac{1}{4}\ inches

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3 years ago
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Lana71 [14]
Cuboid C is 4 and 4. Cuboid D is 2 and 4.
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3 years ago
The half-life of cesium-137 is 30 years. Suppose we have a
VMariaS [17]
(a) If y(t) is the mass (in mg) remaining after t years, then y(t) = y(0) e^{kt}=100e^{kt}.

y(30) = 100 e^{30k} = \frac{1}{2}(100) \implies e^{30k} = \frac{1}{2} \implies k = -(\ln 2) /30 \implies \\ \\
y(t) = 100e^{-(\ln 2)t/30} = 100 \cdot 2^{-t/30}

(b) y(100) = 100 \cdot 2^{-100/30} \approx \text{9.92 mg}

(c)
100 e^{- (\ln 2)t/30} = 1\ \implies\ -(\ln 2) t / 30 = \ln \frac{1}{100}\ \implies\ \\ \\
t = -30 \frac{\ln 0.01}{\ln 2} \approx \text{199.3 years}
 
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3 years ago
What is the parent function of the graph?
Alik [6]

Answer:

y = |x| – 4

Step-by-step explanation:

If we substitute x as 0, we get -4 therefore this is the answer.

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3 years ago
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