Answer:
Mean = 70,000 dollars
SD = 800 dollars
For Khan Academy
Step-by-step explanation:
Answer:
y=5sin(16pix)+3
Step-by-step explanation:
Amp=5 means our curve is either y=5sin(bx+c)+d or y=-5sin(bx+c)+d.
y=sin(x) has period 2pi.
So y=sin(bx) has period 2pi/b.
We want 2pi/b=1/8.
Cross multiplying gives: 16pi=b
y=5sin(16pix+c)+d
d=3 since we want midline y=3.
y=5sin(16pix+c)+3
We can choose c=0 since we aren't required to have a certain phase shift.
y=5sin(16pix)+3
Answer:
x = 2/5, y= -22/5
Step-by-step explanation:
4x−y=6;3x−2y=10
Step: Solve4x−y=6for y:
4x−y+−4x=6+−4x(Add -4x to both sides)
−y=−4x+6
-y/-1 = -4x +6 over -1 (Divide both sides by -1)
y=4x−6
Step: Substitute4x−6for y in 3x−2y=10:
3x−2y=10
3x−2(4x−6)=10
−5x+12=10(Simplify both sides of the equation)
−5x+12+−12=10+−12(Add -12 to both sides)
−5x=−2
-5x/-5 = -2/5 (Divide both sides by -5)
x= 2
/5
Step: Substitute 2/
5 for x in y=4x−6:
y=4x−6
y=4 (
2/
5
) −6
y= −22
/5
(Simplify both sides of the equation)
x = 2/5, y= -22/5
This is a square root problem since the patio is square.
A of a square is L x W or L^2 or W^2 - it's all the same.
So find the square root of 220 feet.
14.8323 We are to round to nearest hundreth which is the second position right of decimal. Look at the number to the right of that position.
It is a 2. So we do not round the number up.
14.83 is the rounded sq. ft of each side.
Check it!
14.83^2 = 219.92 Because we rounded, this number is not exact, but close.
Answer:
driven by a desire to regain the land it had lost to Britain
Step-by-step explanation:
Spain's motivation to help the American colonists was driven by a desire to regain the land it had lost to Britain and, with other European powers, make incremental gains against British possessions in other parts of the world.
