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rewona [7]
3 years ago
5

In how many ways can a 12-question true-false exam be answered? (Assume that no questions are omitted.)

Mathematics
1 answer:
ch4aika [34]3 years ago
5 0

Answer:

4,096 ways

Step-by-step explanation:

Assuming that all questions have to be answered, there are two ways to answer each of the 12 questions (True or False). The total number of possible answers is given by:

n=2^{12}\\n=4,096\ ways

A 12-question true-false exam can be answered in 4,096 different ways.

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A portion of the graph of f(x) = −x2 + 6x − 5 is shown. Which of the following describes all solutions for f(x)? a partial parab
marishachu [46]

Answer:

c

Step-by-step explanation:

7 0
3 years ago
PLEASE HELPPP!!!! Will give brainiest!!!!
Lady_Fox [76]

Answer:

  • 0.008 °C

Explanation:

<u>1) Write the changes in the temperature of the city over the 4 days in an easy way to read.</u>

<u />

  • 1.34 °C
  • - 5 / 7 °C
  • - 0.75 °C
  • 4/9 ° C

<u />

<u>2) Write the expression to show the average daily change in temperature.</u>

The average of a set of data is calculated with the expression:

  • Average = (sum of the data) / amount of data

Hence, you need to add the four change of temperature data and divide by 4.

The expression is:

  • Average =  [ 1.34 °C + (- 5 / 7 °C) + ( - 0.75 °C) + 4/9 ° C ] / 4

<u>3) Write the steps to solve the expression:</u>

You can choose between adding  fractions or adding the decimal forms of the numbers.

If you choose adding decimals, keep the complete decimals in your calculator, to avoid the accumulation of errors due to rounding. Round only the final result.

These are the steps.

<u>a. Find the decimal forms of the fractions:</u>

  • - 5/7  ≈ 0.71428
  • 4 /9 ≈ 0.44444

<u>b. Add the four data:</u>

  • 1.34°C + (- 0.71428 °C) + (-0.75 °C) + 0.44444 °C ≈ 0.32019 °C

<u />

<u>c. Divide the sum by the number of data (4)</u>

  • 0.32019 °C / 4 ≈ 0.080004 °C

<u>4. Round to the nearest hundredth</u>

The place of the hundreth is the second after the decimal point, which is 8 in this case:

  • 0.080004 °C ≈ 0.08 °C

7 0
2 years ago
Thanks if you help.....
marissa [1.9K]

Answer:

I'm guessing it's D.

Step-by-step explanation:

Sorry if wrong :> Hope i helped! Have a awesome day!!! You're a great hooman ^_^ Please mark brainliest !!

5 0
2 years ago
What is the domain of F(x) = In(x)?
jekas [21]

Answer as an inequality:  x > 0

Answer in interval notation:  (0, \infty)

Answer in words: Set of positive real numbers

All three represent the same idea, but in different forms.

======================================================

Explanation:

Any log is the inverse of an exponential equation. Consider a general base b such that f(x) = b^x. The inverse of this is f^{-1}(x) = \log_b(x)

For the exponential b^x, we cannot have b^x = 0. We can get closer to it, but we can't actually get there. The horizontal asymptote is y = 0.

Because of this, \log_b(x) has a vertical asymptote x = 0 (recall that x and y swap, so the asymptotes swap as well). This means we can get closer and closer to x = 0 from the positive side, but never reach x = 0 itself.

The domain of \log_b(x) is x > 0 which in interval notation would be (0, \infty). This is the interval from 0 to infinity, excluding both endpoints.

------------------------

The natural log function Ln(x) is a special type of log function where the base is b = e = 2.718 approximately.

So,

\log_e(x) = \text{Ln}(x)

allowing all of what was discussed in the previous section to apply to this Ln(x) function as well.

------------------------

In short, the domain is the set of positive real numbers. We can't have x be 0 or negative.

8 0
3 years ago
An energy drink manufacturer wants to find out the effect of different amounts of their product on the maximum anaerobic power l
Licemer1 [7]

Answer:

An experimental study

Step-by-step explanation:

An experimental study should be used. This will enable the energy  drink manufacturer to have an experimental group and control group. Using experimental study, the effect of independent variables on the dependent variables can be determined with the amount of the drink consumed as the controlled factor.

5 0
2 years ago
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