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Nitella [24]
2 years ago
11

Please help!!! picture below

Mathematics
1 answer:
iVinArrow [24]2 years ago
6 0

Answer:

4^3x=4^(4x+4)

Step-by-step explanation:

You can eliminate the first 2 options since those don’t make sense already, and the last option changed 64 to 2^6 which is correct, but when they changed the other side. They should have multiplied 8 to both x and 1 which would have made the whole term 2^(8x+8) and not 2^(8x+1). Left with the third option, 4 to the power of 3 is 64 so the left side makes sense, 4^3x=64^x, on the right side, 4^4 equals 256, so the whole exponent should multiply by 4 so from 256^(x+1) you get 4^4(x+1) giving 4^(4x+4) making the third choice the right answer.

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Suppose that the number of bacteria in a certain population increases according to an exponential growth model. A sample of 2600
melisa1 [442]

Answer: There is 3.994% continuous growth rate per hour.

Step-by-step explanation:

Since we have given that

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After two and a half hours,

Number of bacteria = 2873

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As we know the equation for continuous growth rate per hour.

y=y_0e^{rt}\\\\2873=2600e^{2.5r}\\\\\dfrac{2873}{2600}=e^{2.5r}\\\\1.105=e^{2.5r}\\\\\text{Taking log on both the sides}\\\\\ln 1.105=2.5r\\\\0.0998=2.5r\\\\r=\dfac{0.0998}{2.5}\\\\r=0.0399\times 100\\\\r=3.994\%

Hence, there is 3.994% continuous growth rate per hour.

3 0
3 years ago
The circumference of a circle is 62.8 inches.Using pi as 3.14,what is the radius.PLEASE SHOW YOUR WORK!!!!
mamaluj [8]
The circumference of a circle - C=2 \pi r

C=62.8 \\ \\
62.8=2 \times 3.14 \times r \\
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The radius is 10 in.
7 0
3 years ago
Please help 2 qeastions
Neko [114]
B and D ..............
3 0
3 years ago
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Simora [160]

Answer:

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Step-by-step explanation

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3 years ago
A squirrel jumps along the number line. Each of its jumps is 5 units long. The squirrel sometimes jumps to the right and sometim
Tcecarenko [31]

9514 1404 393

Answer:

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Step-by-step explanation:

For some integer n, the squirrel lands on numbers that are ...

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7 0
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