Answer:
graph (b)
Explanation:
The farm started with 40 sheep and the number doubled each year.
So, the equation modeling this situation would be:
N(x) = 40*(2)^2
By getting the equation, we can notice that we already excluded the third and fourth choices as they have the wrong equations.
Now, we will need to select the right graph which is either graph a or graph b.
To do this, we will get the value of N(x) for different values of x as follows:
At x = 0: N(0) = 40*(2)^0 = 40
At x = 1: N(1) = 40*(2)^1 = 80
At x = 1: N(2) = 40*(2)^2 = 160
Now, taking a look at graph a, we will find that:
N(1) = 120
N(2) = 360
These numbers are not the same as the numbers we calculated, therefore, this graph is wrong
Taking a look at graph b, we will find that:
N(1) = 80
N(2) = 160
These numbers are exactly the same as the ones calculated, therefore, this graph is the correct one.
Hope this helps :)
Answer:
You are 34 years old
Step-by-step explanation:
Because, 34-17=17
17 is half of 34.
2x+20=y
y-17=0.5y
+17 +17
y=0.5y+17
2(0.5y+17)+20=0.5y+17
y+34+20=0.5y+17
y+54=0.5y+17
y=34
A(n)=ar^(n-1) and we can find the rate upon using the ratio of two points...
50/1250=1250r^2/1250r^0
1/25=r^2
r=1/5 so
a(n)=1250(1/5)^1=250
...
You could have also found the geometric mean which is actually quite efficient too...
The geometric mean is equal to the product of a set of elements raised to the 1/n the power where n is the number of multiplicands...in this case:
gm=(1250*50)^(1/2)=250
53) The metric unit of mass is kilogram. It is the mass of a piece of platinum alloy that keep in a museum in Paris. One kg (kilogram) is equal to 1000 g (gram). One kg (mass) weighs 2.205 pounds on the surface of the Earth.
54) The unit used to measure weight in the metric system is the gram. Other metric units for weight include the kilogram, the metric ton and the milligram
55) not sure about this one
56)
270 (miles) / 6 (hrs) = 45 miles per hr
in 13 hrs.....45 * 13 = 585 miles <==