Answer:
This is a proportional relationship, the constant of proportionality is 20m/s and it represents that the horse can run 20 meters every second.
Equation: d = 20s, where d=distance and s=number of seconds.
Step-by-step explanation:
In order to find out whether this relationship is proportional, you need to see if the rate at which the horse runs is constant (the same). If you look at the three sets of data (24, 480), (40, 800) and (60, 1200) where the pair is (seconds, meters), you can see that for any two sets of data the change in meters divided by the change in seconds is consistently 20m/s. For example:
Since the constant is 20, we know that the horse can run 20 meters every second. To find the horse's total distance, we need to multiply the rate by the number of seconds that it runs:
d = 20s
1. Zoe stacked the most brownies. She stacked 27 brownies out of the 50 brownies.
2. 15
3. 43 + 3n ≥ 70, so n ≥ 9
4. D. 58x + 13 + 58y
5. The answer would be ≤4
6. 9.94 + 10.01p ≤ 70, so p ≤ 6
7. C 40 89
8. D. x+(x+5)=77
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•❋Let's start with the first step: Converting 28% into a decimal.
To do this you can multiply it by 100 which gives us .28.
Now we have $600.000 in cash and we need to then multiply it by .28.
.28*600=168.
Now we are going to subtract what we just got by the original amount $600.000
(we can also say that it is $600)
So $600-$168=$432
Now we have out answer
28% tax on a $600.000 cash prize = $432
•❋Hope this helps•❋
Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values:
S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27 = 8 24/27 = 8 8/9
Using product rule;
f(x)=(1+6x²)(x-x²)
f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1
Solving the bracket first;
f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4
f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1
