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3 years ago

Write the set of real numbers from - 10 through 10 in interval notation.

Mathematics

1 answer:

Klio2033 [76]3 years ago

8 0

Answer:

1) $(-10,10)$ - Greater than -10 and less than 10.

2) $[-10, 10]$ - Greater than or equal to -10 and less than or equal to 10.

3) $[-10, 10)$ - Greater than or equal to -10 and less than 10.

4) $(-10, 10]$ Greater than -10 and less than or equal to 10.

Step-by-step explanation:

There are four form of describing that set in interval notation, which presented below:

1) $(-10,10)$ - Greater than -10 and less than 10.

2) $[-10, 10]$ - Greater than or equal to -10 and less than or equal to 10.

3) $[-10, 10)$ - Greater than or equal to -10 and less than 10.

4) $(-10, 10]$ Greater than -10 and less than or equal to 10.

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What is the radian value of arccos(-3/sqrt(2))?

Ksju [112]

Answer:

Not defined over the real numbers

Step-by-step explanation:

Let

$x = arc \cos( \frac{ - 3}{ \sqrt{2} })$

This implies that:

$\cos(x) = \frac{ - 3}{ \sqrt{2} }$

This implies that:

$\cos(x) = - 2.12$

The range of the cosine function is -1≤y≤1

Therefore

$arc \cos( \frac{ - 3}{ \sqrt{2} })$

is not defined for over the real numbers.

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3 years ago

In the Fall STA 2023 Beginning of the Semester Survey, students were asked how many parties they attended every week and how man

Shtirlitz [24]

Answer:

-95.78

Step-by-step explanation:

As the researcher decided to make the number of parties attended per week the explanatory variable, this would be variable x in the regression line, and of course, the variable y would be the number of text messages sent per day.

After constructing the linear regression equation, the researcher found that an approximate value $\hat y$ for the actual value of y could be represented by the line

$\hat y=64.96+25.41x$

Since this is an approximate value, it is not expected that it coincides with the actual value of y. We define then the residual for each value of x as the difference between the actual value of y and the approximation for the given x.

For the value x = 2 (the student attended 2 parties that week) the actual value of y is 20 (the student sent 20 text messages per day that week).

The approximate value of y would be according to the regression line

$\hat y(2)=64.96+25.41(2)=64.96+50.82=115.78$

Hence, the residual value for x=2 would be

$y_{real}-\hat y=20-115.78=-95.78$

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3 years ago

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rusak2 [61]

Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5

If this line is given to have a slope of 3/2, let us at least put it in standard form, substituting the point ( 7, 4 ) into the equation afterwards:

y = 3/2* x + b, provided b ⇒ y - intercept,

( 4 ) = 3/2 * ( 7 ) + b,

4 = 21/2 + b,

b = 4 - 10.5,

b = -6.5

Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5

3 0

3 years ago

Read 2 more answers

Calculate the volume of the composite shape please please help giving brainliest!!

Ilya [14]

${\qquad\qquad\huge\underline{{\sf Answer}}}$

There are two hemispheres in there with radius 3 cm, so we can consider it as a whole one. and the other shape in between is Cylinder with radius 3 cm and height 4 cm.

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$\qquad \sf \dashrightarrow \: \cfrac{4}{3} \pi {r}^{3}$