Answer:
A) 
B) 
Step-by-step explanation:
a) <u><em>According to Outside Angles theorem:</em></u>
=> m∠VYW = 
Where mVX = 79, VW = 173
=> m∠VYW = (173-79)/2
=> m<VYW = 94/2
=> m∠VYW = 47 degrees
b) <u><em>According to Angles of Intersecting Chords Theorem:</em></u>
=> m∠VZW = 
Where m∠VZW = 64, VW = 51
=> 64 = 1/2(51+XY)
Multiplying both sides by 2
=> 64*2 = 51+XY
=> 128 = 51+XY
=> XY = 128-51
=> XY = 77 degrees
Salt flows into the tank at a rate of
(1/2 lb/gal) * (6 gal/min) = 3 lb/min
and flows out at a rate of
(Q(t)/60 lb/gal) * (6 gal/min) = 6Q(t) lb/min
The net rate of change of the amount of salt in the tank at time 
is then governed by
Solve for 
:
![\dfrac{\mathrm d}{\mathrm dt}[e^{6t}Q]=3e^{6t}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Be%5E%7B6t%7DQ%5D%3D3e%5E%7B6t%7D)
The tank starts with 10 lb of salt, so that Q(0) = 10. This gives us
so that the amount of salt in the tank at time is given by
Answer: ella usó (1/2) kg de arroz para cocinar.
Step-by-step explanation:
La madre de Ernesto tenía una bolsa con 3/4 kg de arroz.
Sabemos que uso 2/3 de esa cantidad para hacer un guiso.
Entonces ella usó 2/3 de 3/4 kilogramos de arroz.
Entonces ella usó:
(2/3)*(3/4) kg de arroz.
Recordemos que esto se puede escribir como el producto entre los numeradores dividido por el producto de los denominadores:
(2*3)/(3*4) kg de arroz.
(6/12) kg de arroz
(1/2) kg de arroz.
Esto significa que ella usó (1/2) kg de arroz para cocinar.
Answer:
A) 1 line of symmetry
Step-by-step explanation:
The difference quotient and simplification will be = [4 -h-2x]
The given equation is as follows: f(x)= 4x - x²
For finding the quotient and further simplification we must follow the following steps:
[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h
<h3>What is simplification of algebraic operations?</h3>
Getting the functions in their lowest terms is known as simplification.
Brackets will get open and solved further;
[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h
[f(x + h) - f(x)] / h = [4h - h² - 2x]/ h
Finally dividing the whole equation with h;
= [4 - h - 2x]
Learn more about algebraic operations,
brainly.com/question/12485460
# SPJ1
