Answer:
The 96th term of the arithmetic sequence is -1234.
Step-by-step explanation:
first term (a)=1
second term (t2)=-12
common difference (d)= t2-a
d=-12-1
d=-13
96th term (t96)=?
We know that,
t96=a+(n-1)d
t96=1+(96-1)(-13)
t96=1+95(-13)
t96=1-1235
t96=-1234
Answer:
Step-by-step explanation:
a is o.53 repeated
The <u><em>correct answer</em></u> is:
The equation is 7(c-0.75) = 2.80, and the regular price of a cookie is c = $1.15.
Explanation:
c is the regular price of a cookie. We know that today they are $0.75 less than the normal price; this is given by the expression c-0.75.
We also know if we buy 7 of them, the total is $2.80. This means we multiply our expression, c-0.75, by 7 and set it equal to $2.80:
7(c-0.75) = 2.80
To solve, first use the distributive property:
7*c-7*0.75 = 2.80
7c-5.25 = 2.80
Add 5.25 to each side:
7c-5.25+5.25 = 2.80+5.25
7c = 8.05
Divide each side by 7:
7c/7 = 8.05/7
c = $1.15.
Answer:
volume of the solid = 
Step-by-step explanation:
As given , the region : |x| + |y|
1
when y
0 ,
|x| + y = 1
⇒|x| = 1 - y
when y ≤ 0 ,
|x| - y = 1
⇒|x| = 1 + y
The given region is the rectangle with sides (0, 5) , (0, -5), (5, 0), (-5, 0)
As given , the vertical cross section are semicircle
As we know that the area of semi circle = 

Now,
Volume =
+ 
=
- 
=
[1-0] -
[0-1]
= 
⇒volume of the solid = 
The expression represents 0.30 times y, but I do not know the value of y.