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
Katarina [22]
3 years ago
8

For a finite sequence of nonzero numbers, the number of variations in sign is defined as the number of pairs of consecutive term

s of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 1, –3, 2, 5, –4, –6 ?
Mathematics
1 answer:
elena55 [62]3 years ago
7 0

Answer:

The no. of variations in sign is 3

Step-by-step explanation:

Variation in sign occurs when every single time a negative product is produced by a pair of consecutive terms.

Therefore, the determination of the number of changes in sign in the given sequence is must.

Therefore, we take the product of the pair of consecutive terms as:

1\times (-3) = - 3, variation in sign

(-3)\times 2 = - 6,  variation in sign

2\times 5 = 10,  no sign variation

5\times (- 4) = - 20,  variation in sign

- 4\times (-6) = 24, no sign variation

You might be interested in
The corner store sells carrots at a rate of $1.50 per carrot. If Isabella has $6.00 dollars, how many carrots
allochka39001 [22]

Answer:

4 Carrots

Step-by-step explanation:

6/1.5 =4

8 0
2 years ago
Read 2 more answers
Determine if the product CA is defined. If the product is defined, state its dimensions. Do not calculate the product.
Troyanec [42]

ANSWER

The multiplication, CA is defined, and its dimension is 3×2

EXPLANATION

Matrix A is a 2x3 matrix.

Matrix C is a 3×2 matrix.

The product of the two matrices , CA, is defined if and only if the inner product of their dimension are the same.

CA = (2 \times 3)(3 \times 2)

The inner products are the same.

Hence the matrix multiplication, CA is defined and its dimension is the outer products.

2 \times 2

8 0
3 years ago
Please help please giving out brainless
Readme [11.4K]

Answer:

C

Step-by-step explanation:

The length of arc AC (L) is calculated as

L = circumference of circle × fraction of circle

  = 2πr × \frac{150}{360}

  = 2π × 12 × \frac{5}{12}

 = 2π × 5

 = 10π ≈ 31.42 → C

4 0
2 years ago
Medicine taken by a patient breaks down and eventually leaves the patient’s system. Suppose a dose of 60 milligrams (mg) of medi
jeyben [28]

Answer:

60*0.8 raised to the t power where t is time

Step-by-step explanation:

60*0.8³=30.72

60*0.8∧4.25=23.24254578

3 0
2 years ago
DJ Giovanni is making a playlist for a friend; he is trying to decide what 12 songs to play and in what order they should be pla
Elena L [17]

Answer:

5.78×10¹⁵

Step-by-step explanation:

The playlist has 12 songs, and he wants the same number of songs for each genre, so he must pick 4 songs per genre.

The number of ways he can choose 4 country songs (ignoring the order) is ₂₂C₄ = 7315.

The number of ways he can choose 4 reggae songs (ignoring the order) is ₁₁C₄ = 330.

The number of ways he can choose 4 pop songs (ignoring the order) is ₅C₄ = 5.

The total number of combinations is 7315 × 330 × 5 = 1.21×10⁷.

Once he has his 12 songs selected, the number of ways he can arrange them is ₁₂P₁₂ = 12! = 4.79×10⁸.

So the total number of possible playlists is:

(1.21×10⁷) × (4.79×10⁸) = 5.78×10¹⁵

4 0
3 years ago
Other questions:
  • Help me with these problems please!
    5·2 answers
  • A family room has a circular rug with a radius of 7 m .
    10·1 answer
  • Racionalize os denominadores:<br> raiz quadrada de 5/ raiz quadrada de 8 <br> (é em fração)
    14·1 answer
  • Gymnast Clothing manufactures expensive hockey jerseys for sale to college bookstores in runs of up to 300. Its cost (in dollars
    10·1 answer
  • What’s the equation for this
    5·2 answers
  • Can someone help me answer this
    11·1 answer
  • 35 POINTS PLEASE HELP!!!!!! Describe the two types of transformations that occur between function f and function g. (Use words l
    10·2 answers
  • Find (g o f) (x) <br> F(x)= x^2 - 7x + 14 <br> g(x)= 4x-9
    15·1 answer
  • The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). which represents g(x)?
    6·1 answer
  • Quick algebra 1 question for 50 points!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!