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3 years ago

The answer as a fraction

Mathematics

2 answers:

frutty [35]3 years ago

8 0

2 is 2/15 as you just times 3 and 5 and 2 stays same

Llana [10]3 years ago

6 0

ANSWERS 2. 2/15 3. 3/14

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Determine whether the situation calls for a survey, an observational study, or an experiment.

antoniya [11.8K]

Answer:

The answer is "experiment."

Explanation:

When it comes to finding out whether a new reading program can increase reading comprehension, an experiment is important. This procedure is being used in order to validate a hypothesis, particularly in a research study. In the situation above, you have to validate whether a new reading program can increase the reading comprehension or not.

The experiment consists of the independent, dependent and controlled variables. The independent variables are the ones being changed by the researcher, while the dependent variables tell whether the changes in the independent variable is significant. The controlled variables are the ones that are constant.

The dependent variable above is the reading comprehension, while the new reading program is the independent variable. Examples of controlled variables are the ages of the participants. The age directly affects the reading comprehension, thus it has to be considered.

4 0

3 years ago

For the function y=3x2: (a) Find the average rate of change of y with respect to x over the interval [3,6]. (b) Find the instant

nirvana33 [79]

Answer:

The instantaneous rate of change of $y$ with respect to $x$ at the value $x = 3$ is 18.

Step-by-step explanation:

a) Geometrically speaking, the average rate of change of $y$ with respect to $x$ over the interval by definition of secant line:

$r = \frac{y(b) -y(a)}{b-a}$ (1)

Where:

$a$ , $b$ - Lower and upper bounds of the interval.

$y(a)$ , $y(b)$ - Function exaluated at lower and upper bounds of the interval.

If we know that $y = 3\cdot x^{2}$ , $a = 3$ and $b = 6$ , then the average rate of change of $y$ with respect to $x$ over the interval is:

$r = \frac{3\cdot (6)^{2}-3\cdot (3)^{2}}{6-3}$

$r = 27$

The average rate of change of $y$ with respect to $x$ over the interval $[3,6]$ is 27.

b) The instantaneous rate of change can be determined by the following definition:

$y' = \lim_{h \to 0}\frac{y(x+h)-y(x)}{h}$ (2)

Where:

$h$ - Change rate.

$y(x)$ , $y(x+h)$ - Function evaluated at $x$ and $x+h$ .

If we know that $x = 3$ and $y = 3\cdot x^{2}$ , then the instantaneous rate of change of $y$ with respect to $x$ is:

$y' = \lim_{h \to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}$

$y' = 3\cdot \lim_{h \to 0} \frac{(x+h)^{2}-x^{2}}{h}$

$y' = 3\cdot \lim_{h \to 0} \frac{2\cdot h\cdot x +h^{2}}{h}$

$y' = 6\cdot \lim_{h \to 0} x +3\cdot \lim_{h \to 0} h$

$y' = 6\cdot x$

$y' = 6\cdot (3)$

$y' = 18$

The instantaneous rate of change of $y$ with respect to $x$ at the value $x = 3$ is 18.

5 0

3 years ago

How many sixteenth notes would be needed to have the same duration as 3 quarter notes? Represent this as a fraction

Serjik [45]

1 quarter note=2 eighth notes
1 eight note=2 sixteenth notes
so

1 quarter note=4 sixteenth note
so
times 3 both sides
3 quarter notes=12 sixteenth notes

3 0

3 years ago

Ben deposits $1,750 into each of two savings accounts.

Mrrafil [7]

Answer:

Step-by-step explanation:

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2 years ago

N + 4y + 5n + 3y What is the answer?

Marina86 [1]

Answer: The answer is 6n+7y

Step-by-step explanation: All you have to do is add like terms

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3 years ago