Answer: Yes; you do combine "-w" and "4w" ; because they are both "like terms" ; that is, they are both terms with the SAME first degree single variable in the entire expression.
So, to combine them:
-w + 4w = -1w + 4w = 3w ;
and we can simplify the entire expression:
" -w + 4w + 12 " ;
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to: " 3w + 12 " .
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Hope this explanation helps!
Answer:
4.78 cm
Step-by-step explanation:
The formula for the volume of a cone of radius r and height h is
V = (1/3)πr²h. Here, V = 31.254 cm³ and r = 2.5 cm.
We begin by solving V = (1/3)πr²h for the unknown height, h:
31.254 cm³ 3(31.254 cm³) 93.762 cm³
h = ------------------------ = -------------------------- = -------------------- ≈ 4.78 cm
(1/3)πr² π(2.5 cm)² 19.635 cm²
Answer: 0.893
Step-by-step explanation:
Given : Sample size of residential water bills: n=100
Number of residences had reduced their water consumption over that of the previous year = 80
Then sample proportion: 
Critical value for 98% confidence= 
The upper bound for confidence interval for population proportion :


Hence, the 98% upper confidence bound for the proportion of residences that reduced their water consumption.=0.893
This is the concept of functions. We are required to calculate for the total cost of tickets if 27, 39 and 43 people attended a concert whose cost was represented by C=10n+26.
To solve for this we substitute the each values in the function as follows;
When n=27
C(27)=10*27+26=296
When n=39
C(39)=10*39+26=416
When n=43
C(43)=10*43+26
=456
<span>"Y is inversely proportional to the cube of x" translates to Y = kx</span>³ where k is unknown constant. We need to solve for k.
So we have Y = 3 and x = 2. Plug in and we get 3 = k2³ = 8k
So k = 3/8
Now we can solve for Y when x = 3
Y = (3/8)3³ = (3/8)27 = 81 / 8
Final answer: 81 / 8