Answer:
3. f(12) = -10; f(37) = -60
4. f(12) = -102; f(37) = -352
Step-by-step explanation:
3. Put the numbers in the formula and do the arithmetic:
f(12) = 12 -2(12-1) = 12 -22 = -10
f(37) = 12 -2(37-1) = 12 -72 = -60
__
4. The explicit formula for an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
Your sequence has a first term a1=8 and a common difference d=-10.
As above, fill in the numbers and do the arithmetic.
f(12) = 8 -10(12 -1) = -102
f(37) = 8 -10(37-1) = -352
Answer:
20 seconds
Step-by-step explanation:
Your friend starts 10 meters in front of the starting line.
You start from the starting line.
You run at 6 meters/ second.
Your friend runs at 5.5 meters/second.
You and your friend will be at the same distance from the starting line only when you are able to catch your friend.
The relative speed between you two is the difference in your speed and your friend's speed that is:
So to cover 10 meters of separation at the speed of 0.5 meter/second it will take:
So it will take 20 seconds for you and your friend to be at the same distance from the starting line.
Answer:
Step-by-step explanation:
ypu bhave to mulitply each by a percentage, for example, the percentage it says you mulitply it by
in Algebra. If Brett wants an average score of at least 80 after his fourth test, which can be represented by the inequality (252 +x/4) ≥ 80, what is/are the possible score(s) he can make on the last test? Select all that apply.
65
68
41
67
81
The first step is finding the height of the cake. The formula for the volume of a box: Volume= length x width x height. So given the volume and length and width: 100= 9 x 11 x h. 100=99h and solve for h. h= 1.01 inches so the batter is more than one inch thick. That means that the matter needs to be baked at 350 degrees Fahrenheit. The formula to convert from Fahrenheit to Celsius: T(C)= (T(F)-32) x (5/9). So (350-32) x (5/9) = 176.667. Rounded to the nearest whole number is 177 degrees celsius.