Answer:
4.718592
Step-by-step explanation:
To get to -14.4 from 18 you multiply 18 x 0.8
Repeat that until you get to the 7th term
18 (1st)
18 x 0.8 = -14.4 (2nd)
-14.4 x 0.8 = 11.52 (3rd)
11.52 x 0.8 = 9.216 (4th)
9.216 x 0.8 = 7.3728 (5th)
7.3728 x 0.8 = 5.89824 (6th)
5.89824 x 0.8 = 4.718592 (7th)
Answer:
6x^2
Step-by-step explanation:
The missing term is in the box that signifies the multiplication of the term 2x and the term 3x:
2x * 3x = 6x^2
<span>–36, –32, –28, –24 This is an arithmetic sequence because each term has the same difference from the preceding term, called the common difference, d...
-32--36=-28--32=-24--28=4 So 4 is d, the common difference.
The sequence of any arithmetic sequence has the form:
a(n)=a+d(n-1), a=first term, d=common difference, n=term number...in this case we have:
a(n)=-36+4(n-1)
a(n)=-36+4n-4
a(n)=4n-40 so the 29th term is:
a(29)=4(29)-40
a(29)=116-40
a(29)=76
...
distance=velocity * time
d=vt we want to find t so
t=d/v and in this case:
t=234/70
t=(210+24)/70
t=3hr+(60*24)/70
t=3hr+20min+34sec so
t≈3hr 20min
...
This is an arithmetic sequence...100,150,200...
The sum of an arithmetic sequence will always be the average of the first and last terms times the number of terms....
the rule for the sequence is:
a(n)=a+d(n-1), a(n)=100+50d-50, a(n)=50n+50
Now we know the nth term is 50n+50, and we also know the first term is 100 so:
s(n)=n(100+50n+50)/2 and we want to know the sum of the first 10 terms so
s(10)=10(100+500+50)/2
s(10)=$3250
...
The first two terms are 2 and 4 so:
a(n)=2+2(n-1)
a(n)=2+2n-2
a(n)=2n
a(10)=20
...
You could do synthetic or long division, but you also could just use the fact that the factor being (x+8) should indicate a zero for the function when x=-8. If f(x) could be divided by (x+8) the value of y(-8) would equal zero, however calculating y(-8)=-10 so that would be the remainder if you did the division.</span>
Answer:
The percentage decrease from the first week to the third week is 25 %
Step-by-step explanation:
The number of popcorn bags sold on the first week = 500 bags
The second week, they sell 50% more than the first week
So, the number of bags sold on the second week is
= 500 + 50% of 500
=
= 
= 500 + 250
= 750 bags
The third week, they sold 50% less than the second week
So, the number of bags sold on the third week is
= 750 - 50% of 750
= 
= 
= 750 - 375
= 375 bags
Now the percentage decrease from the first week to the third week is
=
= 
= 
= 25 %
There are infinitely many ways to answer this as there is no one single answer to pick from.
<h3>Here is one possible answer: x^3 + 5x^2 + 7x + 12</h3>
The four terms are x^3, 5x^2, 7x and 12. They are separated by the plus signs.
The constant is 12. It does not have any variable attached to it.
Terms 5x^2 and 7x have coefficients of 5 and 7 respectively.
The leading term x^3 has a coefficient of 1, but 1*x^3 = x^3, meaning it's convention to leave the 1 out. So technically x^3 does not have a coefficient directly written/shown. Instead, its more implied.
