1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
babymother [125]
3 years ago
10

In a West Texas school district the school year began on August 1 and lasted until May 31. On August 1 a Soft Drink company inst

alled soda machines in the school cafeteria. It found that after t months the machines generated income at a rate of f(t) = 300t/2t2 + 8 dollars per month. Find the total income, $Tscc, produced during the second semester beginning on January 1.
Mathematics
1 answer:
WINSTONCH [101]3 years ago
3 0

Answer:

$95.78

Step-by-step explanation:

f(t) = 300t / (2t² + 8)

t = 0 corresponds to the beginning of August.  t = 1 corresponds to the end of August.  t = 2 corresponds to the end of September.  So on and so forth.  So the second semester is from t = 5 to t = 10.

$T₂ = ∫₅¹⁰ 300t / (2t² + 8) dt

$T₂ = ∫₅¹⁰ 150t / (t² + 4) dt

$T₂ = 75 ∫₅¹⁰ 2t / (t² + 4) dt

$T₂ = 75 ln(t² + 4) |₅¹⁰

$T₂ = 75 ln(104) − 75 ln(29)

$T₂ ≈ 95.78

You might be interested in
What statement statement is not true is not true
Black_prince [1.1K]
C is the answer because with this kind of math the answer can be Neg or Postive <span />
5 0
3 years ago
Thirty elves would like to build a skating ring so they can all use it at the same time. Santa tells them, they need at least 40
Delicious77 [7]

Answer:

The Possible dimension of the ring could be;

20 ft × 60 ft

25 ft × 48 ft

30 ft × 40 ft

60 ft × 20 ft

48 ft × 25 ft

40 ft × 30 ft

Step-by-step explanation:

Given:

Number of skaters = 30

Area for each skater = 40 sq ft

We need to find the dimension of rectangular ring the are going to build.

Now we know that they building the skating ring such that they all can use at same time.

Hence if the all use at same time then we will find the total area first.

Total area can be calculated by multiplying Number of skaters with area required for each skaters.

Framing the equation we get;

Total area = 30\times 40 = 1200 \ ft^2

Hence The total area of the rectangular ring would be 1200 sq. ft.

Now we know that Total area is equal to product of length and width.

length\times width =1200ft^2

1200 can be written as = 20 × 60, 25 × 48, 30 × 40,60 × 20,48 × 25,40 × 30

Hence the Possible dimension of the ring could be;

20 ft × 60 ft

25 ft × 48 ft

30 ft × 40 ft

60 ft × 20 ft

48 ft × 25 ft

40 ft × 30 ft

3 0
3 years ago
36 red beads, 49 green and 76 blue beads are to be packed into packets, each containing 3 red, 5 green and 7 blue beads respecti
lakkis [162]
9 packets.

36 divided by 3 = 12
49 divided by 5 = 9.8
76 divided by 7 = 10.8

Maximum packets that can be obtained is 9 packets because only 9 packets with 5 green beads each can be packaged.
6 0
3 years ago
Help plsss A sign in a bakery gives these options: 12 cupcakes for $29, 24 cupcakes for $56, and 50 cupcakes for $129 a) Find ea
xxTIMURxx [149]

Answer:

A) $2.42, $2.33, $2.58

B) The best deal is 24 cupcakes for $56

Step-by-step explanation:

5 0
3 years ago
John is 6 years older than Keisha. Together, their ages equal four times Keisha's age. How old is each? (Note: There must be an
borishaifa [10]
<span>k= Keisha  
k + 6= John</span> <span>         
k + k + 6 =  4k</span> <span>  
2k + 6 ( - 2k) =  4k ( - 2k)</span> <span>              
6 = 2k</span> <span>           
3 = k    
(Keisha= 3 years old)</span> <span>         
k + 6 = 9    
(John = 9 years old)
</span>
3 + 3 + 6 = 4 (3) <span>         
12 = 12

</span><span>So we made the pawn represent Keisha’s age.  Then we knew that John is 6 years older than Keisha so we represented his age with a pawn plus 6. This went on 1 side of the equation because it said that together they equal 4 times Keisha’s age. So on the other side of the equation we put 4 pawns because we are using each pawn as Keisha’s age.  Then we subtracted the pawns from each side to keep the equation balanced.  So we had that 2 pawns equal 6, which means that each pawn equals 3 so Keisha is 3 years old.  Since John is 6 years older than Keisha, he must be 9 years old.  We checked our work and substituted 6 in for each pawn and found that 12 equals 12, so our equation is balanced.
</span>
Hope this helps :)

4 0
3 years ago
Read 2 more answers
Other questions:
  • How to solve this problem?
    11·1 answer
  • Any ideas please help thank you
    7·1 answer
  • Algebra 2 question , PLEASE HELP (picture) more than one answer is right
    12·1 answer
  • Solve the inequality |2h-3| &gt;1
    12·1 answer
  • The lowest or highest point of a function (never a linear function, though).<br> I
    9·1 answer
  • Which step shows the result of applying the subtraction property of equality?
    9·1 answer
  • I Really Need Help!!!!! :)
    13·1 answer
  • Solve each of the following equations<br><br> a.3x+4=21<br> b.2x-13=3x+18<br> c.6/15=3/x
    8·2 answers
  • The perimeter of a rectangle is 42 cm. The width is 7 cm less than the length.
    10·2 answers
  • If x = 4, what is the value of 4x + 3?<br><br> A. 13<br> B. 16<br> C. 19<br> D. 47
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!