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Amanda [17]
3 years ago
11

A student conducted a experiment on plant growth . Plant A was fed a different fertilizer than Plant B . Before the experiment b

egan,Plant A measured 14 centimeters tall, and Plant B measured 16 centimeters tall. At the end of the experiment,Plant A measured 18.2 centimeters tall, and Plant B measured 20 centimeters tall. Which plant, A or B, grew at a greater rate ?
Mathematics
1 answer:
Trava [24]3 years ago
3 0

Answer:Plant A


Step-by-step explanation: Plant A underwent 4.2 centimeters of growth, whereas Plant B underwent 4 centimeters of growth. Plant A grew more drastically than Plant B



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Find the general term of {a_n}
Assoli18 [71]

From the given recurrence, it follows that

a_{n+1} = 2a_n + 1 \\\\ a_{n+1} = 2(2a_{n-1} + 1) = 2^2a_{n-1} + 1 + 2 \\\\ a_{n+1} = 2^2(2a_{n-2}+1) + 1 + 2 = 2^3a_{n-2} + 1 + 2 + 2^2 \\\\ a_{n+1} = 2^3(2a_{n-3} + 1) + 1 + 2 + 2^2 = 2^4a_{n-3} + 1 + 2 + 2^2 + 2^3

and so on down to the first term,

a_{n+1} = 2^na_1 + \displaystyle \sum_{k=0}^{n-1}2^k

(Notice how the exponent on the 2 and the subscript of <em>a</em> in the first term add up to <em>n</em> + 1.)

Denote the remaining sum by <em>S</em> ; then

S = 1 + 2 + 2^2 + \cdots + 2^{n-1}

Multiply both sides by 2 :

2S = 2 + 2^2 + 2^3 + \cdots + 2^n

Subtract 2<em>S</em> from <em>S</em> to get

S - 2S = 1 - 2^n \implies S = 2^n - 1

So, we end up with

a_{n+1} = 4\cdot2^n + S \\\\ a_{n+1} = 2^2\cdot2^n + 2^n-1 \\\\ a_{n+1} = 2^{n+2} + 2^n - 1 \\\\\implies \boxed{a_n = 2^{n+1} + 2^{n-1} - 1}

5 0
2 years ago
Would this event be labeled as independent probability or conditional probability?
Katarina [22]

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6 0
3 years ago
Name the object that exhibits rotational symmetry.
salantis [7]

Answer:

circular plate

Step-by-step explanation:

Rotational symmetry is attained on a figure if it is possible to achieve the same image of the figure after rotating it. For example , rotating a circular plate marked with numbers 1 to 6 through a 360° rotation, the number marked 1 with attain a position similar like that before rotation.

8 0
3 years ago
This is urgent I need help!
Nata [24]

Answer:

Step-by-step explanation:

1. Write an expression to show how to calculate the number of buses needed. Make sure to include parenthesis to show what should be done first since order of operations is important.

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Each bus,excluding the driver,holds 44 people

237/44 = 5.3863636363.......

2. How many buses will be needed?

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3. Why must the answer to the problem be a whole number?

Buses cannot be divided in fractions It should be or 5 buse or 6

But 5 buses are not enough

4. Why shouldn't you round the answer the usual way?

Even when rounded it is still a decimal and buses need to be counted by whole number

5. Can your answer be classified as a rational number? Explain why or why not.

6 is a rational number (whole number)

5.38636363.......is rational ( repeating decimal

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3 years ago
H(x) = x -2<br> g(x) = 2x² – 3x<br> Find h(g(-2))
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Answer:

h[g(-2)] = 12

Step-by-step explanation:

hope this helps

6 0
3 years ago
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