Answer:
Answer: Option c. 0.1875 is the first term of the sequence.
Step-by-step explanation:
In this question sixth term of a sequence is given as A(6)= 192
Ratio of terms is given as 4
And we have to calculate the first term of the sequence.
As per formula A(n) = A(1)×
A(6) = 
192 = 
A(1) = 
= 192/1024
=0.1875
So the first term of the sequence will be 0.1875
To find out how much each book cost first we will subract to find out how many 2 books cost. Then we will divide. last but not least we will check our wok. Lets do it:-
30 - 8.95 = <span>21.05
</span><span>21.05 - 7.25 = 13.80
</span>
CHECK OUR WORK:-
13.80 + 7.25 = 21.05
21.05 + 8.95 = 30
We were RIGHT!!!
Now lets divide:-
13.80 ÷ 2 = 6.90
1 book costs $6.90.
CHECK OUR WORK:-
6.90 × 2 = 13.80
We were RIGHT!!!!
So, 1 book costs $6.90.
Hope i helped ya!!
Answer:
The expressions are not equivalent.
Step-by-step explanation:
Here we have two expressions:
4*(2 + p)
14 + p
We want to evaluate these two expressions in two different values of p to check if the expressions are equivalent or not.
First, we evaluate both of them in p = 2, this is just replace p by 2 in each expression and then solve it.
4*(2 + 2) = 4*4 = 16
14 + 2 = 16
In this case, we can see that both expressions yield the same number, so we could think that the expressions are equivalent, now let's try with other value of p.
Now let's do it with p = 8
4*(2 + 8) = 4*10 = 40
14 + 8 = 22
Now we can see that the results are different, then we can conclude that the expressions are not equivalent.
Answer:
Step-by-step explanation: pi r^2
so 42/2 equals 21 radius
volume=22/7 x 21^2
v=1385