8.5x + 55 = 123
You would use the formula: mx + b = y
The slope is the amount of money each day(mx),and the y-intercept would be the fee(b) and the total cost would be y.
A.
y = 7 - |x| = 7 - 2 = 5
b.
y = x² - 1 = 2² - 1 = 4 - 1 = 3
c.
y = √(x + 14) = √(2 + 14) = √16 = 4
<u>Answer</u><u> </u><u>:</u><u>-</u>
9(3+√3) feet
<u>Step </u><u>by</u><u> step</u><u> explanation</u><u> </u><u>:</u><u>-</u>
A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .
Now here the other angle will be = (90°-30°)=60° .
<u>In ∆ABC , </u>
=> sin 30 ° = AB / AC
=> 1/2 = AB / 18ft
=> AB = 18ft/2
=> AB = 9ft .
<u>Again</u><u> </u><u>In</u><u> </u><u>∆</u><u> </u><u>ABC</u><u> </u><u>,</u><u> </u>
=> cos 30° = BC / AC
=> √3/2 = BC / 18ft
=> BC = 18 * √3/2 ft
=> BC = 9√3 ft .
Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .
<h3>
<u>Hence </u><u>the</u><u> </u><u>perim</u><u>eter</u><u> of</u><u> the</u><u> </u><u>triangular</u><u> </u><u>pathway</u><u> </u><u>shown</u><u> </u><u>is</u><u> </u><u>9</u><u> </u><u>(</u><u> </u><u>3</u><u> </u><u>+</u><u> </u><u>√</u><u>3</u><u> </u><u>)</u><u> </u><u>ft</u><u> </u><u>.</u></h3>
Answer:
Option A
Step-by-step explanation:
Statistics is basically the analysis of figures and data to give explanatory understanding of these figures and data in form of an information for future research, further analysis and development.
Data is an important tool for development and some are represented in form of figures and the only way to extract some information is using statistics, which is a mathematical tool.
Technological advancement has always been as the end product of information extracted from data in different forms. statistics has various methods to explain data processes and that is why data scientists and statisticians have a good bond in this profession because they share the same idea to give a common goal which is information
Answer:
- premium: 165 gallons
- water: 120 gallons
Step-by-step explanation:
Let 'a' represent the amount of 95% antifreeze in the mix. Then the amount of water is (285 -a). The mix has this amount of antifreeze in it:
0.95a +0(285 -a) = 0.55(285)
a = 0.55/0.95(285) = 165 . . . gallons of 95%
285 -a = 285 -165 = 120 . . . . gallons of water
There are 120 gallons of water and 165 gallons of premium antifreeze in the mixture.