Answer:
½log3 + ½logx
Step-by-step explanation:
½(log(3x))
½(log3 + logx)
½logx + ½log3
The actual area of the tennis court is 264 m²
First use the scale to find the actual dimensions of the court:
1 cm : 0.8m
30 cm in the drawing would be:
= 0.8 x 30
= 24 m outside
13.75cm in the drawing would be:
= 0.8 x 13.75
= 11 m outside
Area of a rectangle (which is what the dimensions resemble):
= Length x width
= 24 x 11
= 264 m²
In conclusion, the area of the tennis court is 264 m²
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We have been given that Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount 1.03.
We are asked to write an expression for the amount of money Clare would have after 30 years if she never withdraws money from her account.
We will use exponential growth function to solve our given problem.
An exponential growth function is in form 
, where
y = Final value,
a = Initial value,
r = Growth rate in decimal form,
x = Time.
We can see that initial value is $160. Upon substituting our given values in above formula, we will get:
To find amount of money in Clare's account after 30 years, we need to substitute 
in our equation.
Therefore, the expression 
represents the amount of money that Clare would have after 30 years.
(5/6,39),(5/8,29.85)
slope = (29.85 - 39) / (5/8 - 5/6) = - 9.15 / (-5/24) = -9.15 * - 24/5 =
219.6 /5 = 43.92
y = mx + b
slope(m) = 43.92
(5/6,39)....x = 5/6 and y = 39
now sub and find b, the y int
39 = 43.92(5/6) + b
39 = 36.6 + b
39 - 36.6 = b
2.4 = b
so ur equation would be : y = 43.92x + 2.4
and when it is empty, x = 0
y = 43.92(0) + 2.4
y = 2.4 <=== so when the tank is empty, the mass is 2.4 kg
Jada and lin are comparing inches and feet.
Let I denote inches and F denote feet.
It is given that
I =k F or F=m I
So, I/F=k or m=F/I
As we know 1 feet = 12 inches
constant of proportionality i.e k=1/12
In case 2, constant of proportionality=12/1=12
So, Jada must have calculated ratio of feet to inches while Lin has calculated the ratio of inches to feet.
