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
Varvara68 [4.7K]
2 years ago
5

Tell me the Definition of each Word listed (math)

Mathematics
1 answer:
ahrayia [7]2 years ago
5 0
Constant - a fixed value
variable - symbol for an unknown number
term - a single number or a variable , or numbers and variables multiplied together
like terms - terms whose variables with any exponents are the same
coefficient- a number used to multiply a variable
You might be interested in
A plot of land is in the shape of a triangle. If one side is x meters, a second side (5x−3) meters, and a third side is ​( 7x −
liubo4ka [24]

Given, the plot is in the shape of triangle.

First side = x meter

Second side = ( 5x-3 )meters

Third side = ( 7x-6 ) meters

Perimeter of triangle is equal to the sum of all the three sides.

Perimeter = x + (5x-3) + (7x-6)

Combine like terms by adding all the x terms together and all the constant terms together.

Perimeter = (x+5x+7x) + ( -3 -6 )

Perimeter = 13x - 9 feet ... Answer


3 0
3 years ago
65 432m vuông = .........ha
aleksklad [387]

Answer:

Step-by-step explanation:

they won't understand bạn hỏi trên hoidap247 đúng không :)

3 0
2 years ago
Kareem made $273 for 13 hours of work. at the same rate, how many hours would he have to make to work to make $147?
klio [65]

Answer:

105

Step-by-step explanation:

273/13 × 5= 105

That's the correct answer

5 0
2 years ago
Two lines intersecting at a right angle
Zinaida [17]

Answer:

Perpendicular Lines

5 0
3 years ago
y′′ −y = 0, x0 = 0 Seek power series solutions of the given differential equation about the given point x 0; find the recurrence
sukhopar [10]

Let

\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = a_0 + a_1x + a_2x^2 + \cdots

Differentiating twice gives

\displaystyle y'(x) = \sum_{n=1}^\infty na_nx^{n-1} = \sum_{n=0}^\infty (n+1) a_{n+1} x^n = a_1 + 2a_2x + 3a_3x^2 + \cdots

\displaystyle y''(x) = \sum_{n=2}^\infty n (n-1) a_nx^{n-2} = \sum_{n=0}^\infty (n+2) (n+1) a_{n+2} x^n

When x = 0, we observe that y(0) = a₀ and y'(0) = a₁ can act as initial conditions.

Substitute these into the given differential equation:

\displaystyle \sum_{n=0}^\infty (n+2)(n+1) a_{n+2} x^n - \sum_{n=0}^\infty a_nx^n = 0

\displaystyle \sum_{n=0}^\infty \bigg((n+2)(n+1) a_{n+2} - a_n\bigg) x^n = 0

Then the coefficients in the power series solution are governed by the recurrence relation,

\begin{cases}a_0 = y(0) \\ a_1 = y'(0) \\\\ a_{n+2} = \dfrac{a_n}{(n+2)(n+1)} & \text{for }n\ge0\end{cases}

Since the n-th coefficient depends on the (n - 2)-th coefficient, we split n into two cases.

• If n is even, then n = 2k for some integer k ≥ 0. Then

k=0 \implies n=0 \implies a_0 = a_0

k=1 \implies n=2 \implies a_2 = \dfrac{a_0}{2\cdot1}

k=2 \implies n=4 \implies a_4 = \dfrac{a_2}{4\cdot3} = \dfrac{a_0}{4\cdot3\cdot2\cdot1}

k=3 \implies n=6 \implies a_6 = \dfrac{a_4}{6\cdot5} = \dfrac{a_0}{6\cdot5\cdot4\cdot3\cdot2\cdot1}

It should be easy enough to see that

a_{n=2k} = \dfrac{a_0}{(2k)!}

• If n is odd, then n = 2k + 1 for some k ≥ 0. Then

k = 0 \implies n=1 \implies a_1 = a_1

k = 1 \implies n=3 \implies a_3 = \dfrac{a_1}{3\cdot2}

k = 2 \implies n=5 \implies a_5 = \dfrac{a_3}{5\cdot4} = \dfrac{a_1}{5\cdot4\cdot3\cdot2}

k=3 \implies n=7 \implies a_7=\dfrac{a_5}{7\cdot6} = \dfrac{a_1}{7\cdot6\cdot5\cdot4\cdot3\cdot2}

so that

a_{n=2k+1} = \dfrac{a_1}{(2k+1)!}

So, the overall series solution is

\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = \sum_{k=0}^\infty \left(a_{2k}x^{2k} + a_{2k+1}x^{2k+1}\right)

\boxed{\displaystyle y(x) = a_0 \sum_{k=0}^\infty \frac{x^{2k}}{(2k)!} + a_1 \sum_{k=0}^\infty \frac{x^{2k+1}}{(2k+1)!}}

4 0
2 years ago
Other questions:
  • nicole bought a piece of perperty for $12,000.00.she sold it for $15,000.00.what is the the percent of increase ?
    6·1 answer
  • The number 5/9 is an example of a
    14·1 answer
  • What is 2/28=7/8 cross multiplied
    9·1 answer
  • A number decreased by 5 is less than 33
    8·1 answer
  • F−1(−2) = <br><br> f(−4) = <br><br> f(f−1(−2))
    12·2 answers
  • What is the surface area of this rectangular prism?
    9·2 answers
  • Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies.
    11·2 answers
  • We can describe 12x – 8 as an expression.
    8·1 answer
  • Marius combined 4/8 gallon of lemonade, 3/8 gallon of cranberry juice, and 6/8 gallon of soda water to make punch for a party. H
    13·1 answer
  • The mayor knows the area needed for a flower garden in the park. She wants the base to be a certain length. How can she determin
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!