Answer:
Initial temperature;
432.76
Common ratio;
-0.067
Equation;
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Step-by-step explanation:
In this scenario, the time in minutes represents the independent variable x while the temperature of the pizza represents the dependent variable y.
The analysis is performed in Ms. Excel. The first step is to obtain a scatter plot of the data then finally inserting an exponential trend line to obtain the required equation.
The Ms. Excel output is shown in the attachment below. To obtain the initial temperature we substitute x = 0 in the equation. On the other hand, the common ratio is the exponent in the equation.
100 because you make ten groups of ten and it makes 100 Hope that helped Have a good day! :)
Hey there!!
Basic formula :
... a² - b² = ( a + b ) ( a - b )
Equation given :
... 81x² - 25
... ( 9x )² - ( 5 )²
... ( 9x + 5 ) ( 9x - 5 )
Hope it helps!!
1.)
6% of 38
1% of 38 = 3.8 ( you just move the decimal placement over by one.
1% * 6 = 6%
3.8 * 6 = 6%
3.8 * 6 = 22.8
6% =22.8
2.)
5% of 90
90/5 = 5%
90/5 = 18
18 = 5%
3.)
15/5 = 9/x
15/5 = 3
3 = 9/x
(nine divided by ? is three?....3!)
3 = 9/x(3)
3 = 9/3
3 = 3
x = 3
4.)
1/12 = .8/x
Multiply each side by ten.
1/12 * 10 = 5/6
.8/x * 10 = 8/x
5/6 = 8/x
Cross Multiply (switch the second numbers around)
5x = 6*8
Simplify
5x = 48
Divide both sides by 5 to get x by itself
5x/5 = x
48/5 = 9.6
*Whoo last problem lol*
5.)
A three liter bottle costs $2.97 what is the unit rate.
Well the unit is the object we're talking about, in this case a liter bottle.
The unit rate is how much it costs or is per unit.
Now that that's out of the way...
3L = 2.97
Like the other problems we want to get x by itself, so we'll divide by three)
3L/3 = L
2.97/3 = .99
L = .99
The Unit Rate is $0.99 per liter bottle.
Hope this helped :)
Answer:
Cross Multiply.
Step-by-step explanation:
Multiply the denominator (3) of one side and the numerator (n).
Then, multiply the numerator (2) of on side and the denominator (4) of the other.
3n = 8
You divide both sides by 3 to have n be by itself, equaling ~2.6 or 8/3.