Answer:
The correct ans is 3.
g(-2) = 2(-2) + 5
=-4 + 5 = 1
f(g(-2)) = 4 - (1)^2
= 4 - 1
=3
Step-by-step explanation:
Answer:
8 for $2.08
Step-by-step explanation:
Jordan spends 50 minutes on his homework.
Step-by-step explanation:
Given,
Time spent on Maths homework = 11 minutes
This represents the 22% time of his total homework.
Let,
x be the total time spent on homework.
22% of x = 11

Dividing both sides by 0.22

Jordan spends 50 minutes on his homework.
Keywords: percentage, division
Learn more about percentages at:
#LearnwithBrainly
Answer:
XZ = 26.7
ZY = 11.7
Area = 140.4 sq inches
Step-by-step explanation:
m∠Z = 180-(26+90) = 64°
to get XZ you can use the law of sines:
sin 90°/XZ = sin 64°/24
1/XZ = sin(64°)
cross-multiply to get:
XZ·sin(64°) = 24
XZ = 24/sin(64°)
XZ = 26.7
to get ZY you can use the law of sines again:
sin 64°/24 = sin 26°/ZY
cross-multiply to get:
ZY·sin(64°) = 24·sin(26°)
ZY = 24·sin(26°) ÷ sin(64°)
ZY = 11.7
Area = 1/2(11.7)(24)
= 12(11.7)
= 140.4 sq inches
Answer:
4.1 years.
Step-by-step explanation:
We have been given that The Lisbon’s new heat pump cost $4,500. They bought it to replace their old furnace and air conditioner which cost about $2,800 a year to run. The heat pump will save them approximately 39% a year.
Yearly cost was 2800 at first and the pump will save 39% of 2800. So annual saving with new heat pump will be:

Let x be the number of years in which heat pump will pay for itself, so saving in x years will be:
Now let us equate the savings by new heat pump with cost of heat pump to find the number of years (x).


Therefore, the heat pump will pay for itself in 4.1 years.