Remaining area of poster = Area of Big rectangle - Area of small rectangle
= (36*24) - (5*12) =
= 864 - 60 = 804 in^2
By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:
- r (- 3) = 15
- r (- 1) = 11
- r (1) = - 7
- r (5) = 13
<h3>How to evaluate a piecewise function at given values</h3>
In this question we have a <em>piecewise</em> function formed by three expressions associated with three respective intervals. We need to evaluate the expression at a value of the <em>respective</em> interval:
<h3>r(- 3): </h3>
-3 ∈ (- ∞, -1]
r(- 3) = - 2 · (- 3) + 9
r (- 3) = 15
<h3>r(- 1):</h3>
-1 ∈ (- ∞, -1]
r(- 1) = - 2 · (- 1) + 9
r (- 1) = 11
<h3>r(1):</h3>
1 ∈ (-1, 5)
r(1) = 2 · 1² - 4 · 1 - 5
r (1) = - 7
<h3>r(5):</h3>
5 ∈ [5, + ∞)
r(5) = 4 · 5 - 7
r (5) = 13
By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:
- r (- 3) = 15
- r (- 1) = 11
- r (1) = - 7
- r (5) = 13
To learn more on piecewise functions: brainly.com/question/12561612
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Answer:
Molar mass = 254.60g/mol
Step-by-step explanation:
Mass = 8.02g
Volume = 812mL = 0.812L
Pressure (P) = 0.967atm
Temperature of the gas = 30°C = (30 + 273.15)K = 303.15K
Molecular weight = ?
To solve this question, we'll have to use ideal gas equation, PV = nRT
P = pressure of the gas
V = volume of the gas
n = number of moles of the gas
R = ideal gas constant = 0.082J/mol.K
T = temperature of the gas
PV = nRT
n = PV / RT
n = (0.967 * 0.812) / (0.082 * 303.15)
n = 0.7852 / 24.8583
n = 0.0315 moles
Number of moles = mass / molarmass
Molarmass = mass / number of moles
Molar mass = 8.02 / 0.0315
Molar mass = 254.60g/mol
The molar mass of the gas is 254.60g/mol
Answer:
2 outfits
Step-by-step explanation:
first you have the total amount of money he has.
next subtract the amount of money he spends on the new bicycle
500-273.98=226.02
next find the total cost of the 3 bicycle reflectors
7.23 times 3 = 21.69
Subtract that total from the remaining amount of money left
226.02 - 21.69 = 204.33
Then subtract the helmet from the remaining money
204.33 - 42.36 = 161.97
now divide the remaining money by 78.12 to find out how many outfits he can buy
161.97 / 78.12 = around 2.07
So the answer is he can only buy 2 outfits with the remaining money
(you can not buy 2.07 outfits)
hope this helps and was what you were looking for
<u>Answer:
</u>
The average speed that the club is assuming is 50 miles per hour
<u>Solution:
</u>
We know that Distance = Speed × Time.
Here it is given that distance is 325 miles and the time to cover 325 miles is 
hours which is equal to 
hours.
Now to find the average speed mile per hour we use the formula
By cancelling 325 by 13 we get 25
= 25 × 2
= 50 miles per hour
Thus the average speed that the club is assuming is 50 miles per hour.
