Answer:
x = 12.6 pennies
Step-by-step explanation:
total number of coins = 1 + 2+ 4 + 3 = 10 coins
P(penny) =
P(nickels) =
P(dimes) =
P(quarters) =
hence average value of the coin
x = Penny x P(Penny) + nickel x P(nickel) + dimes x P(dimes) + quarters x P(quarters)
nickels = 5 pennies dimes = 10 ; and quarters = 25 pennies
x = 0.1 + 1 + 4 + 7.5
x = 12.6 pennies
hence, the average pennies for the first draw is equal to x = 12.6 pennies
We have that
<span>Log3 a/3
</span>Rewrite log3(a/3) using the change of base <span>formula
we know that
</span>The change of base rule can be used if a and b are greater than 0 and not equal to 1, and x is greater than 0<span>.
</span>so
loga(x)=<span>logb(x)/<span>logb<span>(a)
</span></span></span>Substitute in values for the variables in the change of base <span>formula
</span>
in this problem
b=10
a=3
x=a/3
log3(a/3)=[log (a/3)]/[log (3)]
the answer is
[log (a/3)]/[log (3)]
Answer:
y = 2 ( x − 1 ) ^ 2 + 2
Step-by-step explanation:
y = a ( x − h ) ^ 2 + k
where vertex is (h,k) = (1,2)
h=1, k=2
y = a ( x − 1 ) ^ 2 + 2
sub ( 3,10)
10 = a (3 - 1)^2 + 2
a=2
y = 2 ( x − 1 ) ^ 2 + 2
Answer:
55
Step-by-step explanation:
6m+90=96m
Answer:
C 36
Step-by-step explanation:
When we have to exponents to the same base, and we are dividing them, we can subtract the exponents
a^b ÷ a^c = a^ (b-c)
6^7 ÷ 6^5 = 6^(7-5)
= 6^(2)
= 36
