Step-by-step explanation:
-x/3 < -4
-x < -12
x > 12
5x +11 ≤ -4
5x ≤ -4-11
5x ≤ -15
x ≤ -3
therefore, the solution is
x ≤ -3 or x > 12
Answer:
nth term = 1 1/2n -1
Step-by-step explanation:
The arithmetic sequence formula is:
a
n
=
a
1
+
(
n
–
1
)
d
Where:
a
n
is the nth term in the sequence
a
1
is the first term in the sequence
n
is the term you are solving for
d
is the common difference for any pair of consecutive numbers in the sequence.
First Term or
n
=
1
:
This is given in the problem.
a
1 = 9
Second Term or
n
=
2
:
Substitute
2 for n
in the formula and substitute the values from the problem giving:
a
2
=
9
+
(
(
2
–
1
)
×
-2
)
a
2
=
9
+
(
1
×
-2
)
a
2
=
9
+-2
a
2
=
7
Fifth Term or n
=
5
:
Substitute in the formula and substitute the values from the problem giving:
a
5
=
9+
(
(
5–
1
)
×
-2
)
a
5
=
9
+
(
4
×
-2
)
a
2
=
9
+
-8
a
2
= 1
Using this same process you should be able to determiner the
Third Term or n
=
3
: and Fourth Term or n
=
4
:
Answer: 601
Step-by-step explanation:
The formula to find the minimum sample size(n) , if the prior population proportion is unknown:
, where E = margin of error , 
= critical z-value for confidence level c.
Given : E = 0.04
Z-value for 95% confidence = 1.96
So, the minimum sample size required = 
Hence, the minimum sample size required = 601
The computation shows that the area of the kitchen that's in the home in square feet is 50ft².
<h3>How to calculate the area?</h3>
It should be noted that an area of a rectangular space is calculated by multiplying the length by the width.
In this case, the area of the kitchen will be:
= 5ft × 10ft
= 50ft²
Learn more about area on:
brainly.com/question/25292087
