30043——————3.0043 x 10^4
30.043—————— 3.0043 x10^1
0.0030043—————-3.0043 x 10^-3
0.30043—————-3.0043 x 10^-1
3.0043————-3.0043 x 10^0
Hope this helps please mark brainiest
Answer:
D) When x=2, y=14
When x=4, y=28
Step-by-step explanation:
By using slope= y2-y1/x2-x1
I get (1,7) and (3,21) from the table
slope= 21-7/3-1= 14/2= 7
Then I plug in the values into y=mx+b
7= 7(1) +b
b= 0
Getting an equation of y=7x
When x= 2
y= 7(2)= 14
When x= 4
y= 7(4)= 28
Answer:
x = 5
Step-by-step explanation:
because the log is base 2 you can remove the log by raing 2 to the power of each side:
the 2 and log2 cancel leaving:
this means we can now solve through simple algebra:
The dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Let's suppose x and y are the sides of the rectangular garden and y is the parallel to the river.
Then according to the problem:
2x + y = P ..(1)
P is the perimeter of the rectangle.
xy = 405000 (area of the rectangle)
Plug the value of y in the equation (1) from the above equation.
P(x) = 2x + 405000/x
P'(x) = x—405000/x² = 0
x = 450 m
P''(x) > 0 hence at x = 450 the value of P(x) is minimum.
y = 405000/450
y = 900 m
P(min) = 1800 m
Thus, the dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.
Learn more about the rectangle here:
brainly.com/question/15019502
#SPJ4
Answer:
33
Step-by-step explanation:
3 years ago, the difference in ages was twice Daniel's age. So, Daniel was 20/2 = 10 years old at that time. Ben was 30.
Now, Ben is 33.
_____
If two numbers have a ratio of 3:1, their difference is (3-1) = 2 times the smaller number.
