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
velikii [3]
3 years ago
6

2. Evaluate the geometric series given a = -120, r = 0.5 and n = 6

Mathematics
1 answer:
Tju [1.3M]3 years ago
8 0

Here we're discussing the "nth partial sum of a geom series."

                                                       1 - r^n

The formula for that is s(n) = a(1) --------------- 

                                                         1-r

We can subst. the given values and see where that takes us:

                  1 - (-2)^6        1 - 64

105 = a(1)*---------------- = ----------*a(1)  =  -21*a(1)

                    1-(-2)                3

                                              105

Solving this for a(1):  a(1) = --------- = -5    (answer)

                                              -21

You might be interested in
The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.
zheka24 [161]

Answer:

a=7.85-1/2^b

Step-by-step explanation:

2a=15.7-b Move variable to the right side and change its sign

2a=15.7-b Divide both sides of the equation by 2

a=7.85-1/2^b The final solution for a is


4 0
3 years ago
A school district transported a total of 409 students and teachers to a zoo in buses and vans.
valina [46]

Answer: There are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

Step-by-step explanation:

Since we have given that

Total number of students and teachers = 409

Let the number of vans be x

Let the number of buses be x+5

Number of students and teachers each bus transported = 55

Number of students and teachers each van transported = 12

According to question,

55(x+5)+12x=409\\\\55x+275+12x=409\\\\67x=409-275\\\\67x=134\\\\x=\frac{134}{67}\\\\x=2

Total number of students and teachers who rode to the zoo in buses will be

55(x+5)\\\\=55(2+5)\\\\=55\times 7\\\\=385

Total number of students and teachers who rode to the zoo in vans will be

12x\\\\=12\times 2=24

Hence, there are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

6 0
3 years ago
Amelia used 1/7 of an ounce of butter to make 1/4 of a pound of Jello. How many ounces of butter are needed to make 1 pound of J
son4ous [18]

Answer:

4/7

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
10 points for this question!!!!!! Please answer like
alexdok [17]
Box one ratios
Box two 35:2= 70:4

7 0
3 years ago
A solution contains 5 grams of a pure drug in 100 milliliters of solution. How many grams of pure
Artyom0805 [142]

Answer:

4.25 grams

Step-by-step explanation:

100 / 5 = 20

85 / 20 = 4.25

4.25 grams of pure drug are in 85 milliliters of a solution.

7 0
2 years ago
Other questions:
  • The lines shown below are parallel. If the green line has a slope of 8, what is the slope of the red line?
    9·1 answer
  • Maggie is training to run a 6 mile race. Her training program has her increase her weekly long run each week. This week she ran
    14·1 answer
  • Shoe sales very soon company were $25.9 billion. See other expected to increase by about 20% in the next year. Find the projecte
    15·1 answer
  • What is the solution to this equation? 6x+4=4x−2 Enter your answer in the box.
    5·2 answers
  • Tell which given value if any is a solution of the equation. <br> T-2.1=0
    11·1 answer
  • Complete the sentence with always , sometimes, or never. The altitude of a triangle is _______ the perpendicular bisector
    11·1 answer
  • Solve the quadratic equation by completing the square. <br> x^2 - 10x + 18 = 0
    5·1 answer
  • Pls help me with this question and pls don't answer if you don't know the answer.
    8·1 answer
  • Use the number line below, where RS = 5y + 2, ST = 3y + 9, and RT = 59.
    13·2 answers
  • What does the coordinate (6, 60) on the above graph mean?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!