Answer:
Sequence: 13, 20, 27
Rule: Tn = 7n + 6
Step-by-step explanation:
The 3 other numbers that can form an arithmetic progression is 13, 20, 27...
The nth term of an arithmetic progression is expressed as;
Tn = a + (n-1)d
a is the first term = 13
n is the number of terms
d is the common difference = 20 - 13 = 27 - 20
d = 7
Substitute
Tn = 13 + (n-1)(7)
Tn = 13 + 7n - 7
Tn = 7n+13-7
Tn = 7n + 6
This gives the required rule
Answer:
Perimeter of the paperboard that remains after the semicircle is removed = 94.26 in
Step-by-step explanation:
Watch the attached figure of how the semi circle is cut out of the rectangular paperboard.
Length = 24 in
Width = 18 in
Radius of the semi circle = Half of the width of the paperboard =
= 9 in
1) Circumference of the semi circle = π*radius
= 3.14*9
= 28.26 in
2) Perimeter of the paperboard that remains after the semicircle is removed
= Top + Left + Bottom + Right Circumference of the semi circle
= 24 + 18 + 24 + 28.26
= 94.26 in
Answer:
n=-2
Step-by-step explanation:
1−(2n+9)=4(1−2)
1+−1(2n+9)=4(1−2)
1+−1(2n)+(−1)(9)=4(1−2)
1+−2n+−9=4(1−2)
1+−2n+−9=−4
(−2n)+(1+−9)=−4
−2n+−8=−4
−2n−8=−4
−2n−8+8=−4+8
−2n=4
Divide both sides by -2
-2n/2=4/-2
n=-2
Well
8oz= 1 cup
1 cup= 2 pint
2 pint= 1 Quart
4 Quart= 1 Gallon
so you do the math
Answer:
0.00176
Step-by-step explanation:
Probability = 10/30 × 9/29 × 8/28 × 7/27 × 6/26
= 56/31668