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4 years ago

Which function has the domain x>or= -11

1 answer:

iogann1982 [59]4 years ago

6 0

I'm assuming this is multiple choice and you forgot to post the answers. I'll take a guess and say it probably looks something like this:
$y = \sqrt{x + 11}$
Because you can't take the square root of a negative number without getting an imaginary result, resulting in the function having a closed domain limit.

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Plez help click on picture

Volgvan

The volume of the spherical piece is 288.55 cm³.

Solution:

Diameter of the sphere = 8.2 cm

Radius of the sphere = 8.2 ÷ 2 = 4.1 cm

The value of π = 3.14

Volume of the sphere $=\frac{4}{3} \pi r^{3}$

$$=\frac{4}{3} \times 3.14 \times(4.1)^{3}$

$$=\frac{4}{3} \times 3.14 \times68.921$

= 288.55 cm³

The volume of the spherical piece is 288.55 cm³.

3 0

4 years ago

Determine the equation of the line that is perpendicular to the given line, through the given point.

exis [7]

Answer:

The equation of the line is $y + 7 = -\frac{1}{3}(x - 9)$

Step-by-step explanation:

Equation of a line:

The equation of line, in point-slope form, is given by:

$y - y_0 = m(x - x_0)$

In which m is the slope and the point is $(x_0, y_0)$

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

Through (9,-7)

This means that $x_0 = 9, y_0 = -7$

$y - y_0 = m(x - x_0)$

$y - (-7) = m(x - 9)$

$y + 7 = m(x - 9)$

Perpendicular to y = 3x + 4

This line has slope 3, so:

$3m = -1$

$m = -\frac{1}{3}$

Thus

$y + 7 = m(x - 9)$

$y + 7 = -\frac{1}{3}(x - 9)$

4 0

3 years ago

What is the area of the trapezoid with height 10 units? Enter your answer in the box.

Keith_Richards [23]

170 I'm positive I took the same test

8 0

3 years ago

Read 2 more answers

Find the x- and y-intercepts of the parabola y=x2+10x+4

Nuetrik [128]

Answer:

x-intercepts: -5 +/- $\sqrt{21}$ . y-intercept: 4

Step-by-step explanation:

For x-intercepts use the quadratic equation

$x= (-b +/-\sqrt{b^2-4ac} )/2a$

Fill in your values:

$x= (-10 +/-\sqrt{100-16} )/2$

And solve

$x=-5 +/- \sqrt{21}$

For y-intercepts set x=0 and solve. In this case, setting x= 0 gives you y=4.

6 0

2 years ago

16. What is the (approximate) probability that Die1+Die2+Die3=6? a. Probability is approximately 5% b. Probability is approximat

Mashutka [201]

Answer: A.) Probability is approximately 5%

B.) probability that Die1 + Die + Die > 12 is approximately 26%

Step-by-step explanation:

Total possible outcomes of the three dies (sample space) = (6^3) = 216

For die1 + die2 + die3 to be equal six, then the number of outcomes which produces our required outcome from the sample space is = 6

Therefore, probability of die1 + die2 + die3 = 6 is given by;

P(die1 + die2 + die3 = 6) = total required outcome / total possible outcomes

P(die1 + die2 + die3 = 6) = 10/216

P( die1 + die2 + die3 = 6) = 0.04629

P( die1 + die2 + die3 = 6) = 4.63% approximately 5%

B) probability that Die1 + Die + Die > 12

P(Die1 + Die + Die > 12) = 57/216 = 0.2638

= 26.38%

Approximately 26%

3 0

3 years ago