The sequence is given as follow
,
When finding the pattern of a sequence, we can try to work out whether there is a common difference or a common ratio between each term. We try by finding a common ratio
The term to term rule is multiplied by
The
term is given
×
The
term is given by
×
Answer:
Note that orthogonal to the plane means perpendicular to the plane.
Step-by-step explanation:
-1x+3y-3z=1 can also be written as -1x+3y-3z=0
The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).
Let us find a point on this line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively
Therefore, the vector equation is given as:
-1(x-0) + 3(y-0) + -3(z-5) = 0
-x + 3y + (-3z+15) = 0
-x + 3y -3z + 15 = 0
Multiply through by - to get a positive x coordinate to give
x - 3y + 3z - 15 = 0
Answer:
x=2
Step-by-step explanation:
Add 14 to both sides
Square root it
x=2
From.the calculated area and perimeter of the field, it will cost the farmer $475740 to fence and seed the pasture.
<h3>What is the area of the field?</h3>
The area of the field is calculated as follows:
Area of square = 450 ft × 450 ft = 202500 square feet
Area of triangle = (450 ft × 120 ft)/2 = 27000 square feet
Area of field = 229500 square feet
Cost of seeding the field = 229500 × $2 = $459000
Perimeter of the field = 450 + 450 + 450 + 255 + 255 = 1860 ft
1 ft = 1/3 yard
1860 ft = 1860 × 1/3 yards = 620 yards
Cost of fencing = 620 × $27 = $16740
Total cost of seeding and fencing = $475200
Therefore, it will cost the farmer $475740 to fence and seed the pasture.
Learn more about area and perimeter at: brainly.com/question/19819849
Answer: Approximately 18.33%
Work Shown:
11/60 = 0.1833 approximately
This decimal converts to 18.33% when moving the decimal point over to the right two spots. Round this value however you need to.
