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
Greensboro gets 12 times as many inches of snow as Redville gets. Altoghter, the two towns gets 65 inches of snow.How many inche
Tomtit [17]
Inches of snow Greensboro gets = g
Inches of snow Redville gets = r

\left \{ {{g=12r} \atop {g+r=65}} \right.  \\  \\ (12r)+r=65 \\ 13r=65 \\ r=5

Redville gets 5 inches of snow.
6 0
3 years ago
Which expression is equivalent to m^2-13m-30?
sergiy2304 [10]

Answer: First option

Step-by-step explanation:

You have the quadratic equation given in the problem:

m^2-13m-30

To find an equivalent expression you cacn factorize. Find two numbers whose sum is -13 and whose product is -30.

These numbers would be -15 and 2.

Therfore, you obtain the following equivalent expression:

(m-15)(m+2)

If you don't want to apply the method above, you can use the quadratic formula:

x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}

Where:

a=1\\b=-13\\c=-30

When you susbstitute values you obtain that:

x=15\\x=-2

Then you can rewrite the equation as (m-15)(m+2)

7 0
3 years ago
Read 2 more answers
Find the inverse for each relation. <br> 1. { (1, -3), (-2, 3), (5, 1), (6, 4) }
velikii [3]
You just flip each of the numbers spots - the x and y
3 0
3 years ago
The article on the next page from the San Francisco Chronicle, January 27, 1996, describes very serious problems of subsidence,
Mekhanik [1.2K]

Answer:

246.3%

the complete question is found in the attached document

Step-by-step explanation:

1st step:

using 1936 data,

w1= 356% = 3.56(356/100) , H= 79 feet

specific gravity = 2.65

Sₓ= 100%= 1

initial void ratio(e₀)= (w1 x specific gravity)/Sₓ

=3.56 x 2.65/1 = 9.434

2nd step

using 1996 data

ΔH= 22ft

ΔH/H = Δe/(1 + e₀)

22/79 = Δe/(1+9.434)

0.278=Δe/10.434

Δe= 0.278 x 10.434

Δe= 2.905

Δe= e₀ - eₓ

eₓ= e₀-Δe

eₓ= 9.434 - 2.905

eₓ= 6.529

3rd step

calculating water content in 1996

eₓ =6.529, specific gravity= 2.65, Sₓ= 100%

W2 X 2.65 = 1 x 6.529

w2 = 6.529/2.65 = 2.463 = 246.3%

6 0
3 years ago
Can you help me, Please!? 3-9 use the image on the top right of the paper
masya89 [10]
3. Is alternate interior angles
4. Supplementary angles
5. Exterior angles
6. 76
7. 75
8. 114
9. 130
5 0
3 years ago
Other questions:
  • What does it mean use doubles to find the sum 7+8.
    11·2 answers
  • 1. 7:__= 63: 36 and 2. __: 24 = 4: 3
    5·1 answer
  • Molly wants to buy a scooter for $540. She can save $75 a week but owes her sister $60. How many weeks will it take Molly to pay
    7·1 answer
  • In example 5, a hot dog stand is located halfway between the shoe store and the pizza shop, at point H. Show that PH=HM.
    15·1 answer
  • The lifetime of a certain brand of battery is normally distributed with a mean value of 8 hr and a standard deviation of 0.8 hr
    8·1 answer
  • СРОЧНО ПОЖАЛУЙСТА !!!. Знайдіть другий член геометричної прогресії: Б) 0,7;b 2 ;70;... .​
    11·1 answer
  • Which expressions are equivalent to z +(2+6)?
    12·2 answers
  • Give letter answer if you give equations rewritten I will give extra points :)
    9·1 answer
  • Do all number lines show only whole number
    7·1 answer
  • Please help due tonight!! Thank you
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!