Starting with 5^0 (since in PEMDAS, we have parenthesis, exponents, multiplication, division, addition, and subtraction, and exponents come before multiplication), we know that anything to the power of 0 equals 1. Therefore, 5^0=1. Next, for 2^1, anything to the power of 1 means it's that number, so 2^1=2. Note that for 2^3 (and for most exponents), however, it's 2 multiplied by itself 3 times, or 2*2*2=8. Since 5^0=1 and 2^1=2, 5^0*2^1=1*2=2
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For number one I would recommend using an app called math papa it works really well with algebra and etc
Answer:
a). total length of rope=132 m
b). total cost of the rope=$528
Step-by-step explanation:
Step 1
To get the total length of rope needed to cover the circular garden twice, we express this as;
P=πD
where;
P=perimeter
π=pi
D=diameter
In our case;
π=22/7
D=21 m
replacing;
P=(22/7)×21=66 m
2×P=2×66=132 m
total length of rope=132 m
Step 2
The expression to calculate the total cost can be written as;
total cost=cost per meter length×total length of rope
where;
cost per meter=$4
total length of rope=132 m
replacing;
total cost=4×132=$528
total cost of the rope=$528
Step-by-step explanation:
This problem bothers on the density of substances
Given data
Mass of substance m= 16kg
Volume of substance v = 2L
the equation that relates the volume. V. to the mass, m is the expression for density
ρ= mass/volume
Substituting our given data
ρ= 16/2= 8kg/L
Using the density calculated above we can get the volume liters, of 128kg of liquid
8= 128/v
v=128/8
v= 16L
The volume is 16L
The density of a substance is expressed as the mass per unit volume
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