First one:
you can add -10m and -13m but you can't add -10m and 2m^4 becuase the powers aren't the same so
when adding the like terms
look at the:
powers, (x^3 adds with x^3)
placehloder letter (x adds with x and y adds with y and so on)
-10m+2m^4-13m-20m^4
powers: m^1 and M^4
placeholders: all m
add
-10m-13m+2m^4-20m^4
-23m-18m^4
second one:
when multiplying exponents, you add with like
so if you multipliy
x^2yz^3 times x^4y^2z^2 thne you would get x^6y^3z^5
when multiply with coeficients
2x^2yz^3 times 4x^4y^2z^2=8x^6y^3z^5
so using associative property a(bc)=(ab)c
2/3 times p^4 times y^3 times y^4 times s^5 times 6 times p^2 times s^3
group like terms
(2/3 times 6) times (p^4 times p^2) times (y^3 times y^4) times (s^5 times s^3)
(4) times (p^6) times (y^7) times (s^8)
4p^6y^7s^8
Answer:

Step-by-step explanation:
Since the sample size is quite large, we can use the z-distribution.
The margin of error is given by

Where n is the sample size, s is the sample standard deviation and
is the z-score corresponding to a 90% confidence level.
The z-score corresponding to a 90% confidence level is
Significance level = α = 1 - 0.90= 0.10/2 = 0.05
From the z-table at α = 0.05
z-score = 1.645

Therefore, the margin of error is 0.776.
7a
TSA = 2lw<span> + 2</span>lh<span> + 2</span><span>wh
TSA = 140 + 70 + 100 = 310 ft^2
7b
310 x $4 =$1240
cost = </span>$1240
7c
V= wlh = <span>7×10×5 = </span><span>350 ft^3</span>
Data Input
Simone paid $13 for an initial year's
The renewal rate is $8 per year
Equation
y = 8x + 13
Table
x (number of years renewed) | (total cost in dollars)
0 -> 13 dollars
1 -> 21 dollars
2 -> 29 dollars
3 -> 37 dollars
4 -> 45 dollars
The mode is 17 because it occurs most often.
There are 23 data points, so the 12th one is the median (middle). The median is 15.
The mean is 15.435 because it is the average. Add up all the ages, then divide by the number of people.