All categories

3 years ago

What is the domain of the relation {(–2, 5), (0, 0), (3, –2), (4, 6)}

Mathematics

1 answer:

babunello [35]3 years ago

8 0

Answer:

second option

Step-by-step explanation:

You might be interested in

The data from exercise 3 follow. excel file: data12-17.xls the estimated regression equation for these data is ŷ = 7.6 + .9x. co

Margaret [11]

Answer:

SSE = 127.3

SST = 281.2

SSR = 153.9

percentage of the total sum of squares can be accounted for by the estimated regression equation is 54.7%

sample correlation coefficient = 0.736.

Step by step explanation: Please find the attached files for the solution

4 0

3 years ago

How do I put -(x-4)^2 -1 into standard form

Archy [21]

Standard form is ax²+bx+c

expand then simlify
-(x-4)²=-(x-4)(x-4)=-(x²-8x+16)=-x²+8x-16
now we gots
-x²+8x-16-1
-x²+8x-17 is standard form

4 0

3 years ago

Pls, help me asap-10 points :)

Masteriza [31]

Answer:

15 pt

Step-by-step explanation:

5 qt= 10 pt

10 pt + 5 pt= 15 pt

4 0

4 years ago

Find the volume of the tetrahedron in the first octant bounded by the coordinate planes and the plane passing through (2 comma 0

SVETLANKA909090 [29]

Answer:

The volume of the tetrahedron is:

$\frac{50}{3}=16.667$

Step-by-step explanation:

The volume of the tetrahedron is given by the intersection of the planes x = 0, y = 0, z = 0 and the plane formed by the three points given.

The equation of the plane formed by the three points is:

Points: (2,0,0);(0,5,0);(0,0,4)

$\pi :\frac{x}{2} +\frac{y}{5} +\frac{z}{4} =1$

It can also be expressed as:

$10x + 4y+5z=20$

We have to calculate the triple integral, therefore we must define the domain:

The values of x are given by:

0≤x≤2

We will integrate the values of y between the y = 0 axis and the line formed when z = 0:

z=0 ⇒ 10x + 4y=2 ⇒ $y=\frac{20-10x}{4} =$

$0\leq y \leq 5-\frac{5}{2}x$

We will integrate the values of z between the plane z = 0 and the plane 10x + 4y+5z=20

10x + 4y+5z=20 ⇒ $z=\frac{20-10x-4y}{5} =4-2x-\frac{4}{5}y$

$0\leq z \leq 4-2x-\frac{4}{5}y$

The volume of the tetrahedron is:

$\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} \ \ \ \int\limits^{4-2x-\frac{4}{5}y }_{0} {z} \, dz\, dy \,dx$

$\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} \frac{z^2}{2}|^{4-2x-\frac{4}{5}y}_0\, dy \,dx$

$\frac{z^2}{2}|^{z=4-2x-\frac{4}{5}y}_{z=0}=\frac{5}{25}(5x+2(y-5))^2$

$\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} {\frac{5}{25}(5x+2(y-5))^2}\, dy \,dx$

$\int\limits^{2}_{0} {-\frac{25}{6}(x-2)^3} dx=-\frac{25}{24} (x-2)^4|^{2}_{0}=\frac{50}{3}$

6 0

4 years ago

How many sides are there on a convex polygon if the sum of the interior angles is 3240?

svp [43]

Answer:

Step-by-step explanation:

Let the number of sides be n

One exterior angle = 360/n

Exterior angle + interior angle = 180

Interior angle = 180 - Exterior angle

= 180 - 360/n

Sum of interior angle = n(180 - 360/n) = 3240

n(180 - 360/n) = 3240

180n - 360 = 3240

180n = 3240 - 360

= 3600

n = 3600/180

= 20

8 0

3 years ago