Answer:
$4.75 = 4 dollars and 75 cents
Step-by-step explanation:
$1.85 for a sandwich
$1.15 for a drink
$0.65 for a bag of chips
$1.10 for two apples.
The total amount of money the student spent at lunch, in dollars and cents is:
$1.85 + $1.15 + $0.65 + $1.10
= $4.75
In words = 4 dollars and 75 cents
Hello,
A: if x=3 then x²=6 but the converse is false if x²=6 then x=√6 or x=-√6
B: if x=2 then x²=4 but the converse is false if x²=4 then x=2 or x=-2
C: if x²=4 then x=2 is false!!! and the converse too.
D:if x=1 then 2x=2 is true and the converse if 2x=2 then x=1 is also true!
Answer D
Answer:
-0.69 feet per second
Step-by-step explanation:
We have dx/dt = 2 ft/sec, and we want to determine dy/dt.
x and y are related by the Pythagorean Theorem.
x²+y²=16²
Differentiate both sides of this equation with respect to t to get
![2x\frac{dx}{dt}+2y\frac{dy}{dt} =0](https://tex.z-dn.net/?f=2x%5Cfrac%7Bdx%7D%7Bdt%7D%2B2y%5Cfrac%7Bdy%7D%7Bdt%7D%20%3D0)
![2y\frac{dy}{dt} =-2x\frac{dx}{dt}](https://tex.z-dn.net/?f=2y%5Cfrac%7Bdy%7D%7Bdt%7D%20%3D-2x%5Cfrac%7Bdx%7D%7Bdt%7D)
Divide both sides by 2y
![\frac{dy}{dt} =-\frac{x}{y}\frac{dx}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D%20%3D-%5Cfrac%7Bx%7D%7By%7D%5Cfrac%7Bdx%7D%7Bdt%7D)
When x = 5 ft, we have
x²+y²=16²
5²+y²=256
y²=256-25=231
therefore
y= ![\sqrt{213}](https://tex.z-dn.net/?f=%20%5Csqrt%7B213%7D%20)
![\frac{dy}{dt} =-\frac{5}{\sqrt{213}}\frac{2 ft}{sec}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D%20%3D-%5Cfrac%7B5%7D%7B%5Csqrt%7B213%7D%7D%5Cfrac%7B2%20ft%7D%7Bsec%7D)
=-0.69
The top of the ladder is sliding down (because of the negative sign in the result) at a rate of -0.69 feet per second.
Answer:
replace x with your answer and it should equal out
Step-by-step explanation: