The first one, because it cannot be represented as a/b.
Answer:
70
Step-by-step explanation:
Answer: Tom will pay $20.01 lesser than the original price.
Step-by-step explanation:
The original price of the phone is $137.99. It is now on sale for 1/10 off the original price. This means that the discount on the original price is 1/10 × 137.99 = 13.799. The new price will be the original price - the discount.
The new price is 137.99 - 13.799 = $124.191
Tom has a coupon for an extra 5% off the sale price. It means that Tom would pay 5% off $124.191. The amount that Tom would pay will be
124.191 - (5/100 × 124.191) = 124.191 - 6.20955 = $117.98
The difference between the original price and the price that Tom will pay is
137.99 - 117.98 = $20.01
Answer:
a) P=2(L+W)
b)
c)-2 inch/hour
Step-by-step explanation:
given:
length of the rectangle as L inches
width of the rectangle as W inches
a) The perimeter is defined as <u>the measure of the exterior boundaries</u>
therefore, for the rectangle the perimeter 'P' will be
P= length of AB+BC+CD+DA (A,B,C and D are marked on the figure attached)
Now from figure
P= L+W+L+W
OR
=> P=2L+2W .....................(1)
b)now dp/dt can be found as by differentiating the equation (1)
.............(2)
c)Now it is given for the part c of the question that
L=40 inches
W=104 inches
dL/dt=2 inches/hour
dW/dt= -3 inches/hour (here the negative sign depicts the decrease in the dimension)
substituting the above values in the equation (2) we get


First of all, recall the definition of absolute value:

So if <em>x</em> < 4, then <em>x</em> - 4 < 0, so |<em>x</em> - 4| = -(<em>x</em> - 4), and the first case in <em>h(x)</em> reduces to

Next, in order for <em>h(x)</em> to be continuous at <em>x</em> = 4, the limits from either side of <em>x</em> = 4 must be equal and have the same value as <em>h(x)</em> at <em>x</em> = 4. From the given definition of <em>h(x)</em>, we have

Compute the one-sided limits:
• From the left:

• From the right:

If the limits are to be equal, then
-1 = 5<em>k</em> - 16
Solve for <em>k</em> :
-1 = 5<em>k</em> - 16
15 = 5<em>k</em>
<em>k</em> = 3