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lakkis [162]
3 years ago
11

When drawn in standard position, in which quadrant does the terminal side of the angle −240° lie?

Mathematics
1 answer:
valina [46]3 years ago
3 0

Answer:

Option (2)

Step-by-step explanation:

All angles are positive when measured counterclockwise from the x-axis.

Terminal side of 240° degrees when measures counterclockwise will lie in the 3rd quadrant.

But the angle is -240°.

That means angle is being measured clockwise from the x-axis.

Therefore, terminal side of the of the angle will be in the 2nd quadrant.

Option (2) will be the correct option.

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What is that is the derivative of
katovenus [111]

Answer:

see explanation

Step-by-step explanation:

differentiate using the power rule.

\frac{d}{dx}( ax^{n} ) = nax^{n-1} , thus

\frac{d}{dx}(x² - x + 3 ) = 2x - 1

x = 5 → 2(5) - 1 = 10 - 1 = 9

To find the value of x for minimum , equate \frac{d}{dx} to zero

2x - 1 = 0 , then

2x = 1 and

x = \frac{1}{2}

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3 years ago
Blood pressure values are often reported to the nearest 5 mmHg (100, 105, 110, etc.). The actual blood pressure values for nine
Paladinen [302]

Answer:

a) 117.4

b) 117.9

c) Option A)  When there is rounding or grouping, the median can be highly sensitive to small change

Step-by-step explanation:

We are given the following data set in the question:

108.6, 117.4, 128.4, 120.0, 103.7, 112.0, 98.3, 121.5, 123.2

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

n = 9

a) Median of the reported blood pressure values

Sorted Values: 98.3, 103.7, 108.6, 112.0, 117.4, 120.0, 121.5, 123.2, 128.4

Median =

\dfrac{9 + 1}{2}^{th}\text{ term} = 5^{th}\text{ term} = 117.4

b) New median of the reported values

Data: 108.6, 117.9, 128.4, 120.0, 103.7, 112.0, 98.3, 121.5, 123.2

Sorted Values: 98.3, 103.7, 108.6, 112.0, 117.9, 120.0, 121.5, 123.2, 128.4

New Median =

\dfrac{9 + 1}{2}^{th}\text{ term} = 5^{th}\text{ term} = 117.9

c) Since median is a position based descriptive statistics, a small change in values can bring a change in the median value as the order of the data may change.

Option A)  When there is rounding or grouping, the median can be highly sensitive to small change

7 0
3 years ago
If x=0,5 the solve 10x
OverLord2011 [107]

Answer:

f=110132.328974hti

Step-by-step explanation:

3 0
3 years ago
Round to the nearest thousand. 5,568
cricket20 [7]

Answer:

Round to the nearest thousand.

5,568

= 5,000

7 0
3 years ago
Read 2 more answers
Can you help me with this question please
solniwko [45]

Answer:

the answer is 9^8

Step-by-step explanation:

9^3 * 9^5 = 9^ 3 + 5 = 9^8

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