Answer:
7
Step-by-step explanation:
Amplitude is the positive multiple of sin(theta) which is 7 here.
Answer:
$=19400
Step-by-step explanation:
Average prices= $18,500
Number of prices that were quoted= 7
Expected sum that produces this mean= 7*18,500=$129,500
Sum of quoted prices=
$(15,500+ 18,800+ 16,900+ 19,900+18,000+21,000) =$110100
Next price to be quoted will be ;
$129,500-$110,100
$=19400

Parallel lines have the same slope.
The given line has a slope of 3, therefore, the line parallel to the given line has a slope of 3.
Now, we have the slope of the line and a point that it passes through.
So, we can use the Point-Slope formula:







Answer:
The cost of fertilizing the field is 
Step-by-step explanation:
we know that
The area of the figure is equal to the area of the rectangle plus the area of a complete circle (two semicircles)
Step 1
Find the area of the rectangle
The area of rectangle is equal to

where
L is the length side of rectangle
w is the width side of the rectangle
In this problem we have


substitute

Step 2
Find the area of the circle
The area of the circle is equal to

where
r is the radius of the circle
In this problem we have

substitute

Step 3
Find the area of the figure
Adds the area of rectangle and the area of the circle

Step 4
Find the cost
Multiply the total area by 
so

Answer:
\frac{276}{5}-8x)
Step-by-step explanation:
We are given with
H(x)=1/3x3/3 3x2+9x-2
And
M(x)=13 3/5x+6x3-2x2-4x
And asked to determine
[h(x) +m(x)]-[h(x)-m(x)]
Opening the second parenthesis
h(x) +m(x)-h(x)+m(x)
As we subtracted the second bracket, the sign get reversed.
As h(x) has opposite signs , they get cancelled
h(x) +m(x)-h(x)+m(x)
=2m(x)
=2(13\tfrac{3}/{5}x+6x3-2x2-4x)
=2(\frac{13 \times 5 + 3}{5}+18-4-4x)
=2(\frac{68}{5}+14-4x)
=2(\frac{68+70}{5}-4x)
=2(\frac{138}{5}-4x)
=\frac{276}{5}-8x)