Find the nth term, a n, of the given arithmetic sequence. a^1 = 75, d = –8, n = 11a. 742
c. 155
b. –13
d. –5

Answers

Answer 1

Answer: an = a1+d*(n-1)
a11 = 75-8*(11-1) = -5

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90 students were surveyed about their favorite subject in school between Math and Social Studies. How many students chose only math as their favorite subject? (3 points)32 social studies
20 chose both

Answers

Answer: 38 students

Step-by-step explanation:

There are only 90 students. You subtract 90 minus the 32 that said social studies was there favorite. So now you have 58 then minus the people who said both which was 20. Your left with 38. So 38 students said just math as there favorite subject.

Y = x² + x + 8 find 1st and 2nd derivitive

Answers

Answer:

y' = 2x + 1

y'' = 2

Step-by-step explanation:

y = x² + x + 8

y' = 2x + 1

y'' = 2

travis has passed 11 tests and his classmate Jennifer has passed 2 tests. Going forward Travis plans to pass 2 tests per week. Meanwhile Jennifer plans to pass 5 tests per week. Eventually she will catch up to Travis. How many tests will each student have passed and how many weeks will it take?

Answers

If Travis already has passed 11, and Jennifer has already passed 2, then we just add 2 to Travis and 5 to Jennifer x amount of times until they have passed the same amount of tests. So:

Travis:    11 Jennifer: 2
Week1    + 2     + 5
Week2     2    5
Week3     2    5
      -------          --------
17    17

So= it will take 3 weeks for them to have both passed a total of 17 tests each.

A pizza place offers 6 different cheeses and 12 different toppings. In how many ways can a pizza be made with 1 cheese and 3 toppings?

Answers

You need to "choose" three toppings, which means you need to do a combination (versus a permutation, which would only be needed if you cared about the order that the toppings are added to the pizza, which you obviously don't care about). The combination formula is n!/(r!(n-r)!).
12!/(12-3)!(3!)= 220 ways to choose toppings.
**know that ! Means 12*11*10*9...*3*2*1

Then multiply that by the 6 cheeses to get 220*6 = 1,320 ways. (Each choice of three different toppings can be paired with six different choices for cheese)

Which function could be represented by the graph on the coordinate plane?

Answers

Since no function can be seen in this question, it may describe overall -the slope. The slope is the direction and magnitude of a relationship in the given graph. It introduces the relationship between two variables and is called correlation. Proportionality or variation is state of relationship or correlation between two variables It has two types: direct variation or proportion which states both variables are positively correlation. It is when both the variables increase or decrease together. On the contrary, indirect variation or proportion indicates negative relationship or correlation.

Answer:

Step-by-step explanation:

If z=4.0 and y= 7.2 what is the value of x?