Answer:
30 km
Step-by-step explanation:
7½ litres → 225 km
1 litre → 225 ÷ 7½ = 30 km
Answer:
The cost of an orange is 21.5
Step-by-step explanation:
let orange be O and lemon be L
it becomes simultaneous Equations
2O+3L=64----1. x3
3O+4L=89----2. x2
6O+12L=192
6O+8L=178
subtracting
4L=14
L=7
put 7 for L in equ 1
2O+3(7)=64
2O+21=64
2O=64-21
2O=43
O=21.5
F is the midpoint of a segment in the diagram
Complete question:
The growth of a city is described by the population function p(t) = P0e^kt where P0 is the initial population of the city, t is the time in years, and k is a constant. If the population of the city atis 19,000 and the population of the city atis 23,000, which is the nearest approximation to the population of the city at
Answer:
27,800
Step-by-step explanation:
We need to obtain the initial population(P0) and constant value (k)
Population function : p(t) = P0e^kt
At t = 0, population = 19,000
19,000 = P0e^(k*0)
19,000 = P0 * e^0
19000 = P0 * 1
19000 = P0
Hence, initial population = 19,000
At t = 3; population = 23,000
23,000 = 19000e^(k*3)
23000 = 19000 * e^3k
e^3k = 23000/ 19000
e^3k = 1.2105263
Take the ln
3k = ln(1.2105263)
k = 0.1910552 / 3
k = 0.0636850
At t = 6
p(t) = P0e^kt
p(6) = 19000 * e^(0.0636850 * 6)
P(6) = 19000 * e^0.3821104
P(6) = 19000 * 1.4653739
P(6) = 27842.104
27,800 ( nearest whole number)
We are given the expression (5v² + 3v + 9) - (4v² + 2v - 5) + (-8v² - 8v + 8), and are told to simplify. First, we can use the distributive property to get rid of all the paranthesis. This gives us 5v² + 3v + 9 - 4v² - 2v + 5 - 8v² - 8v + 8. Now, just combine like terms. This gives us -7v² - 7v + 22, which is our answer. Hope this helps and have a phenomenal day!