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Anna [14]
2 years ago
10

Sequence is defined recursively using the equation . If f(1)=100, what is f(6)?

Mathematics
1 answer:
ehidna [41]2 years ago
3 0
60 is the correct answer
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Suppose the time to complete a 200-meter backstroke swim for female competitive swimmers is normally distributed with a mean μ =
Natali [406]
Answer: The proportion that will qualify is 0.0314 or 3.14%.

First, we need to find the z-score of a time of 128 seconds. To do this, we find the difference of the mean and score and divide by the standard deviation.

(128 - 141) / 7 = -1.86

Now, use a standard normal distribution table to determine the percent below a z-score of -1.86. That value is 0.0314 or 3.14%.
6 0
3 years ago
a rectangle has a length if x + 7 centimeters. The perimeter of the rectangle is 23 centimeter. What is the value of x
Tems11 [23]

23 = 14 + 2x
reasoning \: for \: each \: term \: in \: the  \\ \: above \: equation\\  \\ p = 23 \\  14 = 7 \times 2 \\ 2x = 2 \times x
\:  \:  \:  \:  \: 23 - 14 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 14 + 2x - 14 \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  9 = 2x
\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 9  \div 2 \:  \:  \:  \:  \:  \:  \:  \:  \: 2x \div 2 \\  \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 4.5 = x
So, the answer is 4.5
8 0
3 years ago
Which of the following graphs represents a quadratic equation with roots of -5 and 2.5
tiny-mole [99]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
Which logarithmic equation is equivalent to the exponential equation below?
anzhelika [568]

Answer:

log_e^{67.21}= a

Step-by-step explanation:

The equation is ,

\implies 67.21 = e^a

  • Here e is the Euler's Number . The log which are defined on the base e are called Natural logarithms.

Say if we have a expoteintial equation ,

\implies a^m = n

In logarithmic form it is ,

\implies log_a^n = m

Similarly our required answer will be ,

\implies\boxed{ log_e^{67.21}= a  }

3 0
3 years ago
If cos x = sin(20+x) degrees and 0 degrees < x < 90 degrees, the value of x is
Natalka [10]

Answer:

50

Step-by-step explanation:

Which number is greatest?

2.89 times 10 Superscript negative 8

1.997 times 10 Superscript 2

8.9 times 10 Superscript negative 6

5 times 10 Superscript negative 6

4 0
3 years ago
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