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
Nonamiya [84]
3 years ago
8

What is the value of i=

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0

\sum\limits_{t=1}^3\left(4\cdot\left(\dfrac{1}{2}\right)^{t-1}\right)=4\cdot\left(\dfrac{1}{2}\right)^{1-1}+4\cdot\left(\dfrac{1}{2}\right)^{2-1}+4\cdot\left(\dfrac{1}{2}\right)^{3-1}\\\\=4\cdot\left(\dfrac{1}{2}\right)^0+4\cdot\left(\dfrac{1}{2}\right)^1+4\cdot\left(\dfrac{1}{2}\right)^2=4\cdot1+4\cdot\dfrac{1}{2}+4\cdot\dfrac{1}{4}\\\\=4+2+1=7\\\\Answer:\ \boxed{D.\ 7}

You might be interested in
How do you simplify 15/40​
Katyanochek1 [597]

Answer:3/8

Step-by-step explanation:

The simplest form of  

15 /40  is  3 /8 .

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 15 and 40 is 5

Divide both the numerator and denominator by the GCD

15 ÷ 5

40 ÷ 5

Reduced fraction:  

3 /8

Therefore, 15/40 simplified to lowest terms is 3/8.

3 0
3 years ago
An automotive manufacturer has developed a new type of tire that the research team believes to increase fuel efficiency. The man
Stolb23 [73]

Answer:

One tailed

To conclude if there is an increase in the mean gas mileage due to new type of tire.

Step-by-step explanation:

We are given the following in the question:

The manufacture wants to compare increase in the mean gas mileage.

Population mean = 32 miles per gallon

Thus, the manufacture could carry a hypothesis test to compare mean.

A one tailed test (z-test or t-test) based on the information can be used to compare the increase in mean.

Thus,

The automotive manufacturer should perform a one tailed hypothesis test to conclude if there is an increase in the mean gas mileage due to new type of tire.

6 0
3 years ago
Becky needs to make cookies for a school bake sale. The cookies need to be distributed evenly on 2 or more plates. If each plate
Lelu [443]

Answer:

We can take 2 plates , 3 plates or 6 plates.

Step-by-step explanation:

1 dozen = 12 numbers

Total number of cookies = 42

Each plate has to get atleast 7 cookies ,all the plates should have the same number of cookies and also the number of plates must be greater than or equal to 2.

  • If we take 2 plates , there can be 21 cookies in each.
  • If we take 3 plates , there can be 14 cookies in each.
  • If we take 6 plates , there can be 7 cookies in each.

These are the 3 possible cases.

Since there cannot be broken pieces, no other combination is possible.

7 0
3 years ago
If f(x) = -x^3 + 2x^2 - 3, find f(2).<br><br> A) -19<br> B) -3<br> C) -1<br> D) 5
AfilCa [17]

Answer:

B

Step-by-step explanation:

To evaluate f(2) substitute x = 2 into f(x), that is

f(2) = - (2)³ + 2(2)² - 3 = - 8 +2(4) - 3 = - 8 + 8 - 3 = - 3

7 0
3 years ago
Fine the length of the hypotenuse of a Right triangle with legs pf 20cm and21cm
Arisa [49]

Hypotenuse² = perpendicular² + base²

H² = 20²+21²

H²= 400+441 = 841

H = √841

H = 29 cm

3 0
3 years ago
Other questions:
  • PLEASE HELP!
    14·1 answer
  • Can you tell me the answer it's my birthday today
    15·1 answer
  • A pizza is divided into 12 pieces. Glenn and Sophie each ate 1/4 of the pizza on Thursday. The next day Sophie ate 1/3 of the pi
    14·1 answer
  • Please help due very soon!!!!
    7·2 answers
  • The formula A = Pe^rt calculates the amount an investment earning a nominal rate of r compounded continuously is worth. Show tha
    6·1 answer
  • The overnight temperature in Tampa never
    12·1 answer
  • Question 1 of 9
    15·1 answer
  • VW has a slope of 5. What is the slope of a line parallel to VW?
    9·2 answers
  • Y = -34x^2+ 1542x-10037
    12·1 answer
  • Jaleesa bought 2 notebooks for $8. 75 each and 1 textbook for $74. 95. If the sales tax was 7%,
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!