Answer:
262144
Step-by-step explanation:
its exponents
Answer: y = 1x + -4
Equation of a straight line:
y = mx + b ------(i)
Step by Step Solution:
Step 1: Calculating Slope (m).
m = y2-y1 /x2-x1
m = 3--1 /7-3
m = 4/4
m = 1
Now putting value of m in equation (i)
y = 1x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (3,-1) for calculating y-intercept:
y = mx + b
-1 = 1(3) + b
-1 = 3 + b
-4 = b
b = -4
Now putting value of b in equation (ii)
y = 1x + -4
Answer:
The diameter decreases at the rate of 0.0796 cm/min when the diameter is 10 cm.
Step-by-step explanation:
A snowball is spherical, so it's area is given by the following formula:

The radius is half the diameter so:



If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at which the diameter decreases when the diameter is 10 cm.
We have to find
when 

Applying implicit differentiation:
We have to variables(A and d), so:




The diameter decreases at the rate of 0.0796 cm/min when the diameter is 10 cm.
Let
x----------> <span>Paul and Steve heights
y----------> </span>Theresa <span>height
we know that
1 1/2-------> 3/2---> 1.5
1 1/3-------> 4/3----> 1.33
</span><span>Paul says he is 16 inches shorter than 1 1/2 times Theresa's height
</span>x=1.5y-16-------> equation 1
<span>Steve says he's 6 inches shorter than 1 1/3 times Theresa's height
x=1.33y-6------> equation 2
equals 1 and 2
1.5y-16=1.33y-6
1.5y-1.33y=-6+16
0.17y=10----------> y=58.82 in
x=1.5y-16------> 1.5*(58.82)-16------> x=72.24 in
the answer is
</span><span>Theresa is 58.82 in tall</span><span>
</span>
9514 1404 393
Answer:
(a) x + 0
Step-by-step explanation:
When translation is up or down, the x-coordinate doesn't change. It will be ...
x + 0