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
Lostsunrise [7]
2 years ago
15

Find the 8th term of geometric sequence {a_{n}, n = 1, 2, 3, . . .} with common ratio r = 0.5 and first term a_{1} = 2.

Mathematics
1 answer:
weqwewe [10]2 years ago
6 0
a_n=a_1\cdot q^{n-`1}\\\\a_1=2;\ q=0.5=\frac{1}{2}\\\\\\a_8=a_1\cdot q^{8-1}=a_1\cdot q^7\\\\a_8=2\cdot\left(\frac{1}{2}\right)^7=2\cdot\frac{1}{2^7}=2\cdot\frac{1}{128}=\frac{1}{64}\\\\\\Answer:a_8=\frac{1}{64}
You might be interested in
Can someone help me with this plz plz !!
saul85 [17]
There is no question
6 0
3 years ago
Read 2 more answers
Danielle found an outfit she liked at two different stores. Store 1 marked the outfit down by 15%. They then marked down the red
guajiro [1.7K]

Answer: Store 2

Step-by-step explanation: sorry I don’t know how to explain.

6 0
2 years ago
Drag each tile to the correct box. Vector t, with a magnitude of 4 meters/second and a direction angle of 60°, represents a swim
astraxan [27]

Answer:

From top to bottom, the boxes shown are number 3, 5, 6, 2, 4, 1 when put in ascending order.

Step-by-step explanation:

It is convenient to let a calculator or spreadsheet tell you the magnitude of the sum. For a problem such as this, it is even more convenient to let the calculator give you all the answers at once.

The TI-84 image shows the calculation for a list of vectors being added to 4∠60°. The magnitudes of the sums (rounded to 2 decimal places—enough accuracy to put them in order) are ...

... ║4∠60° + 3∠120°║≈6.08

... ║4∠60° + 4.5∠135°║≈6.75

... ║4∠60° + 4∠45°║≈7.93

... ║4∠60° + 6∠210°║≈3.23

... ║4∠60° + 5∠330°║≈6.40

... ║4∠60° + 7∠240°║≈ 3

_____

In the calculator working, the variable D has the value π/180. It converts degrees to radians so the calculation will work properly. The abs( ) function gives the magnitude of a complex number.

On this calculator, it is convenient to treat vectors as complex numbers. Other calculators can deal with vectors directly

_____

<em>Doing it by hand</em>

Perhaps the most straigtforward way to add vectors is to convert them to a representation in rectangular coordinates. For some magnitude M and angle A, the rectangular coordinates are (M·cos(A), M·sin(A)). For this problem, you would convert each of the vectors in the boxes to rectangular coordinates, and add the rectangular coordinates of vector t.

For example, the first vector would be ...

3∠120° ⇒(3·cos(120°), 3·sin(120°)) ≈ (-1.500, 2.598)

Adding this to 4∠60° ⇒ (4·cos(60°), 4°sin(60°)) ≈ (2.000, 3.464) gives

... 3∠120° + 4∠60° ≈ (0.5, 6.062)

The magnitude of this is given by the Pythagorean theorem:

... M = √(0.5² +6.062²) ≈ 6.08

___

<em>Using the law of cosines</em>

The law of cosines can also be used to find the magnitude of the sum. When using this method, it is often helpful to draw a diagram to help you find the angle between the vectors.

When 3∠120° is added to the end of 4∠60°, the angle between them is 120°. Then the law of cosines tells you the magnitude of the sum is ...

... M² = 4² + 3² -2·4·3·cos(120°) = 25-24·cos(120°) = 37

... M = √37 ≈ 6.08 . . . . as in the other calculations.

4 0
2 years ago
Martina starting playing video games as soon as she got home from school. She played video games for 15 minutes. Then Martina he
VLD [36.1K]

Answer:

3:30PM

Step-by-step explanation:

Martina starting playing video games as soon as she got home from school. She played video games for 15 minutes. Then Martina helped clean the kitchen for 45 minutes. After the kitchen was clean, it took Martina 15 minutes to finish her homework. When Martina finished her homework, it was 4:45 P.M. What time did Martina get home from school?

Step 1

We add up the minutes it took her to do things

= Minutes for video games + Minutes for cleaning the kitchen + Minutes for doing homework

= 15 minutes + 45 minutes + 15 minutes

= 75 minutes

= 1 hour 15 minutes

Step 2

When Martina finished her homework, it was 4:45 P.M. What time did Martina get home from school?

This is calculated be subtracting 1 hour 15 minutes from 4:45 PM

= 4:45 PM - 1 : 15

= 3:30PM

Therefore, Martha got home from school by 3:30 PM

3 0
2 years ago
If a = b and b = c, which statement must be true?
murzikaleks [220]

Answer:

D.- ac

Step-by-step explanation:

mark me as brainliest pls

7 0
3 years ago
Read 2 more answers
Other questions:
  • Rashad is having a picnic for 62 guests. He plans to serve each guest at least one hamburger. If each package, p, contains eight
    15·1 answer
  • The functions f and g are defined as follows.
    12·1 answer
  • Grandfath
    9·1 answer
  • Find the area of the trapezoid with bases 12 cm and 4 cm and height 1/6<br> cm.
    11·1 answer
  • What is the value of x
    13·1 answer
  • Express into partial fractions 3x³ - 5x² - 3x - 40/( x² + 4)(x - 3)​
    11·1 answer
  • Can someone please help me on this question
    9·1 answer
  • A cell phone costs $120 dollars. The price is reduced 30% for a sale. How much is the savings?
    5·1 answer
  • The half-life of a radioactive substance is the time required for half of a sample to undergo radioactive decay,or for the quant
    5·1 answer
  • Whcih choice best describes the group this shape belongs in, based on the kinds of sides and angles it has? Angela chose A as th
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!