-1 because they in between
Answer:
Step-by-step explanation:
Function (1) has been given as,
y = 0.5 + 3x
Table for the points on this function,
x 0 1 2 3 4
y 0.5 3.5 6.5 9.5 12.5
There is a common difference of 3 each successive term of y from the previous term.
Therefore, starting point of the function is (0, 0.5)
There is a linear growth of 3 with the increase in the value of x.
Function (2),
y = 3(0.5)ˣ
x 0 1 2 3 4
y 3 1.5 0.75 0.375 0.1875
Starting point of the function will be (0, 3)
There is a common ratio of 0.5 in each successive term to the previous term.
Function (2) increases exponentially with a common ratio of (0.5) with the increase in x.
Answer:
X=4
Step-by-step explanation:
90-58=32
32÷8=4
The diagonals are bisected perpendicular so it equals 90. subtract 58 and simplify
Answer:
The ratio is 14:12, fraction it is 14/12, simplify 7/6
Step-by-step explanation:
Answer:
5700 BTU
Step-by-step explanation:
Data provided in the question:
1 kwh = 3400 BTU’s
1 gallon = 8 pounds of water
Initial temperature = 50°F
Final temperature = 100°F
Water used by dishwasher = 10 gallons
Electrical energy used = 0.5 kwh
Now,
Water used in pounds = 10 × 8 = 80 lb
Total electrical energy used in BTU = 0.5 × 3400 BTU [ as 1 kwh = 3400 BTU]
Total electrical energy used in BTU = 1700 BTU
Energy used by water = Water used by dishwasher × Change in temperature × Specific heat of water
[ Specific heat of water = 1 BTU / °F.lb ]
Thus,
Energy used by water = 80 × 1 × ( 100 - 50 )
= 4000 BTU
Hence,
Total energy used = 1700 BTU + 4000 BTU = 5700 BTU
