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mote1985 [20]
2 years ago
10

There are a total of 128 teams at the start of the citywide 3 on 3 basketball tournament. half the teams are eliminated after ea

ch round. write and solve an exponential equation to determine after which round there are 16 left
Mathematics
1 answer:
Paha777 [63]2 years ago
4 0
Let T be the number of teams after n rounds.
T=128\times(\frac{1}{2})^{n}

When T = 16, we get:16=128\times(\frac{1}{2})^{n}
Dividing both sides by 128, we get:
\frac{1}{8}=(\frac{1}{2})^{n}
Therefore n = 3
The answer is 'after the third round'.

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scoundrel [369]
The answer is 8 because a negative number times or divide by a negative number the answer will be a positive number.
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3 years ago
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If f'(0) = 5 and F(x) = f(3x), what is F'(0)?
Llana [10]

Answer:

\displaystyle F'(0) = 15

Step-by-step explanation:

We are given that:

f'(0) = 5 \text{ and } F(x) = f(3x)

And we want to find F'(0).

First, find F(x):

\displaystyle F'(x) = \frac{d}{dx}\left[ f(3x)]

From the chain rule:

\displaystyle \begin{aligned} F'(x) &= f'(3x) \cdot \frac{d}{dx} \left[ 3x\right] \\ \\ &= 3f'(3x)\end{aligned}

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\displaystyle \begin{aligned} F'(0) & = 3f'(3(0)) \\ \\ & = 3f'(0) \\ \\ & = 3(5) \\ \\ & = 15\end{aligned}

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7 0
2 years ago
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6 0
2 years ago
Explain why this matrix equation has no solution: A 11 17 −8 13 = 0 0 0 0.
qwelly [4]

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Given to us

A + [11   17   -8    13] = [0   0   0   0]

<h3>What is the value of matrix A?</h3>

We know that the given matrix will give values as zero if the same matrix is been deducted from it, therefore,

A + [11   17   -8    13] = [0   0   0   0]

A = [0   0   0   0] - [11   17   -8    13]

A = [-11   -17   +8    -13]

Thus, the matrix is equal to [-11   -17   +8    -13].

<h3>why this matrix equation has no solution?</h3>

The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it, therefore, [11   17   -8    13] is been added to it.

Thus, the sum of the two matrices has no solution.

Learn more about Matrices:

brainly.com/question/11367104

5 0
2 years ago
Please help. I'm not the best at math.
Elena L [17]
5:4 Should be correct! I took the test Btw Hope this helps!! :D

5 0
3 years ago
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