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
Zepler [3.9K]
3 years ago
8

What is the highest degree of the following polynomial? X^2+3X-10

Mathematics
1 answer:
anyanavicka [17]3 years ago
8 0

Answer:

The highest degree of the following polynomial x²+3x-10 is 2

You might be interested in
5. If position of object x = 3 sinΘ – 7 cosΘ then motion of object is bounded between position.​
lesya692 [45]

9514 1404 393

Answer:

  ±√58 ≈ ±7.616

Step-by-step explanation:

The linear combination of sine and cosine functions will have an amplitude that is the root of the sum of the squares of the individual amplitudes.

  |x| = √(3² +7²) = √58

The motion is bounded between positions ±√58.

_____

Here's a way to get to the relation used above.

The sine of the sum of angles is given by ...

  sin(θ+c) = sin(θ)cos(c) +cos(θ)sin(c)

If this is multiplied by some amplitude A, then we have ...

  A·sin(θ+c) = A·sin(θ)cos(c) +A·cos(θ)sin(c)

Comparing this to the given expression, we find ...

  A·cos(c) = 3   and   A·sin(c) = -7

We know that sin²+cos² = 1, so the sum of the squares of these values is ...

  (A·cos(c))² +(A·sin(c))² = A²(cos(c)² +sin(c)²) = A²(1) = A²

That is, A² = (3)² +(-7)² = 9+49 = 58. This tells us the position function can be written as ...

  x = A·sin(θ +c) . . . . for some angle c

  x = (√58)sin(θ +c)

This has the bounds ±√58.

3 0
2 years ago
The sum of a number and two more than twice the number is less than 50. Find the number
prisoha [69]

Answer:


Step-by-step explanation:19 and 31


7 0
2 years ago
Ben consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Ben's body decr
Airida [17]

Answer:

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

Step-by-step explanation:

After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.

This means that the amount of caffeine after t hours is given by:

A(t) = A(0)e^{-kt}

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.

1 - 0.2722 = 0.7278, thus, A(10) = 0.7278A(0). We use this to find k.

A(t) = A(0)e^{-kt}

0.7278A(0) = A(0)e^{-10k}

e^{-10k} = 0.7278

\ln{e^{-10k}} = \ln{0.7278}

-10k = \ln{0.7278}

k = -\frac{\ln{0.7278}}{10}

k = 0.03177289938


Then

A(t) = A(0)e^{-0.03177289938t}

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?

We have to find find A(5), as a function of A(0). So

A(5) = A(0)e^{-0.03177289938*5}

A(5) = 0.8531

The decay factor is:

1 - 0.8531 = 0.1469

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

7 0
3 years ago
If m< xyz=68 and m Mee!
torisob [31]

Answer:

Angle ZXY = 41 degrees.

Step-by-step explanation:

If WX is parallel to ZY then angle XZY = 71 degrees.

Angle ZXY = 180 - 68 - 71 = 41 degrees.

3 0
2 years ago
What should be added to both sides of this equation to solve for the variable?<br> -6 + f = 13
SpyIntel [72]

Answer:

Nesesito ayuda sobre estas dos preguntas la1 y la ocho pero tiene que tener sentido con las demas

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • Alice makes bracelets and sells them for $5 each. If it cost her $2 to make a bracelet, what percent of the money she makes is p
    6·1 answer
  • How many roots does the following equation have? f(x) = 4x5 - 16x4 + 17x3 - 19x2 + 13x - 3 = 0
    6·1 answer
  • Help with number 12 please
    5·1 answer
  • Plz do number 3 4 and 5 plz I will give brainlest
    14·2 answers
  • Cuales son las diferencias entre bisección , triseccion y bisectriz ? , por favor lo necesito urgente
    11·1 answer
  • A president, vice-president, and secretary will be chosen from a committee of 8 members. In how many different ways can the thre
    10·1 answer
  • 1. The temperature of a body rises from -6°c to 5°c. By how much degrees does it rises? <br>​
    12·1 answer
  • Ill just casually give points away :)
    12·2 answers
  • Find the product ........
    11·1 answer
  • How many solutions does this graph have?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!