Answer:
the second graph which shows parallel lines
Step-by-step explanation:
Answer:
Taji has a total of 56 quarters.
Step-by-step explanation:
Let <em>x</em> be the number of quarters that Taji has.
Amount in terms of quarter 
Let <em>y</em> be the number of dimes that Taji has.
Amount in terms of quarter 
As per question statement:
Total amount is $18.20 as given in the question statement.
Solving equations (1) and (2):
Multiplying equation (1) by 10 and subtracting from equation (2):
<em>x </em>is the number of quarters that Taji has.
So, Taji has a total of 56 quarters.
Answer:
dh/dt = 0.4 m/min
Step-by-step explanation:
The volume of the cone is:
V(c) = (1/3)*r² *h if always h = 3r then r = h/3
The volume of the cone as a function of h will be:
V(h) = (1/3)* (h/3)²*h
V(h) = (1/27)*h³
The increasing rate of the volume is equal to the rate of sand added the:
D(V)/dt = (1/27)*3*h²*dh/dt
D(v) / dt = 10 m³/min
h = 15 m and dh/dt is the rate of increasing of the height
By substitution
10 m³/min = ( 1/9)* 225 * dh/dt (m²)
dh/dt = 90 / 225 m/min
dh/dt = 0.4 m/min
To compare decimals, start by looking at the whole numbers (the number to the left of the decimal). Since the number for both is zero, next move to the other side of the decimal, the tenths place. Both numbers are still zero, so now move to the next place over, the hundredths place. We have a 6 in the hundredths place for one of the numbers and a five in the hundredths place for the other one... We can stop right there... 6 is greater than 5 so the number with the 6 in the hundredths place is the larger number.
0.06 > 0.054
Answer:
y = x + 1
Step-by-step explanation:
We can use the point-slope formula to write an equation for this problem. The point-slope formula states: <em>(y - y1) = m (x - x1) </em>
Where m is the slope and (x1 y1) is a point the line passes through.
Substituting the slope and the values from the point in the problem gives:
( y - 2 ) = 1 ( x - 1 )
We can also solve for y to put the equation in slope-intercept form. The slope-intercept form of a linear equation is: <em>y = mx + b</em>
y - 2 = 1x - 1
y = 1x - 1 + 2
<em>y = 1x + 1 or y = x + 1 </em> * are just the same.
