Because the difference between any term and the previous term is a constant, this is an arithmetic sequence because of that constant which is referred to as the common difference, d. Which in this case is -35--38=-32--35=3
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=initial term, d=common difference, n=term number.
In this case a=-38 and d=3 so
a(n)=-38+3(n-1) which we can simplify to
a(n)=-38+3n-3
a(n)=3n-41, so the 52nd term is:
a(52)=3(52)-41
a(52)=156-41
a(52)=115
N/d = 15
d= 4 + 3n
d=n/15
n/15=4+3n
n=60+45n
44n=-60
n=-15/11
-15/11 / d = 15
-15/11 = 15d
d=-1/11
15/11 / 1/11. = 15
Answer:
Step-by-step explanation:
Volume of a rectangular prism is length × height × width
Length=7 1/2
Width= 15 1/2
Height=12
Volume of the prism is therefore:
7 1/2×12×15 1/2= 1395cm3
No of cubes with edge length 1/2 to fit into the prism will be:
Volume of cube is L*W*H
1/2*1/2*1/2= 1/8cm3
Therefore the no of cubes to fit into the Prism will be:
1395/(1/8)= 11160 cubes.
If one was stuck,the number of 1/2 edge length cube to fit into 1cm will be:
1/(1/8)= 8 cubes
Answer:
The inequality equation is 12 ≤ 2x + 3y
Step-by-step explanation:
Protein in a cheese square = 2 grams
Protein in a turkey square = 3 grams
And She can eat 12 or more grams of proteins
Let x be the number of cheese squares and y be the number of turkey squares that she eats.
So, we can write an inequality equation, that describes the given situation in the problem.
i.e. 2x + 3y ≥ 12 or 12 ≤ 2x + 3y
So the inequality equation is 12 ≤ 2x + 3y
Answer:
$6000
Step-by-step explanation:
accumulated amount = A = PI
A = $6900
Let P = x
6900 - I = x
I = (x)(0.05)(3yrs) = 0.15x
6900 - 0.15x = x
Add
6900 = 1.15x
Divide, solve for x
x = 6000
