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
Vera_Pavlovna [14]
3 years ago
7

Calculate:

Mathematics
1 answer:
Nadya [2.5K]3 years ago
8 0

Answer:

13.64 litres

Explanation

Since 1 gallon = 4.546 litres

Therefore...3 gal

; 3 × 4.546 = 13.64 litres

You might be interested in
I need help pleaseeee
algol13

Answer:

Option A

Step-by-step explanation:

Thisbis because when two of them are hanged on the same side it means that it's addition. (Addition of weight)

8 0
3 years ago
Read 2 more answers
AM= 3x+4, MB=5x-6<br> AM=<br> MB=<br> AB=
Leviafan [203]

AB= 3x+4 + 5x-6 = 8x-2

the others are just what they are given as

3 0
3 years ago
The circumference of a circle is 36x feet. What is the length of the radius of this circle?
s2008m [1.1K]

Answer:

18h

Step-by-step explanation:

7 0
3 years ago
Please determine whether the set S = x^2 + 3x + 1, 2x^2 + x - 1, 4.c is a basis for P2. Please explain and show all work. It is
ohaa [14]

The vectors in S form a basis of P_2 if they are mutually linearly independent and span P_2.

To check for independence, we can compute the Wronskian determinant:

\begin{vmatrix}x^2+3x+1&2x^2+x-1&4\\2x+3&4x+1&0\\2&4&0\end{vmatrix}=4\begin{vmatrix}2x+3&4x+1\\2&4\end{vmatrix}=40\neq0

The determinant is non-zero, so the vectors are indeed independent.

To check if they span P_2, you need to show that any vector in P_2 can be expressed as a linear combination of the vectors in S. We can write an arbitrary vector in P_2 as

p=ax^2+bx+c

Then we need to show that there is always some choice of scalars k_1,k_2,k_3 such that

k_1(x^2+3x+1)+k_2(2x^2+x-1)+k_34=p

This is equivalent to solving

(k_1+2k_2)x^2+(3k_1+k_2)x+(k_1-k_2+4k_3)=ax^2+bx+c

or the system (in matrix form)

\begin{bmatrix}1&1&0\\3&1&0\\1&-1&4\end{bmatrix}\begin{bmatrix}k_1\\k_2\\k_3\end{bmatrix}=\begin{bmatrix}a\\b\\c\end{bmatrix}

This has a solution if the coefficient matrix on the left is invertible. It is, because

\begin{vmatrix}1&1&0\\3&1&0\\1&-1&4\end{vmatrix}=4\begin{vmatrix}1&2\\3&1\end{vmatrix}=-20\neq0

(that is, the coefficient matrix is not singular, so an inverse exists)

Compute the inverse any way you like; you should get

\begin{bmatrix}1&1&0\\3&1&0\\1&-1&4\end{bmatrix}^{-1}=-\dfrac1{20}\begin{bmatrix}4&-8&0\\-12&4&0\\-4&3&-5\end{bmatrix}

Then

\begin{bmatrix}k_1\\k_2\\k_3\end{bmatrix}=\begin{bmatrix}1&1&0\\3&1&0\\1&-1&4\end{bmatrix}^{-1}\begin{bmatrix}a\\b\\c\end{bmatrix}

\implies k_1=\dfrac{2b-a}5,k_2=\dfrac{3a-b}5,k_3=\dfrac{4a-3b+5c}{20}

A solution exists for any choice of a,b,c, so the vectors in S indeed span P_2.

The vectors in S are independent and span P_2, so S forms a basis of P_2.

5 0
3 years ago
5(w+4) please help me quick
Margarita [4]

Answer:

5w+20

Step-by-step explanation:

Distributive property, (5*w)+(5*4)= 5w+20

4 0
3 years ago
Other questions:
  • I need help please i really need help
    14·1 answer
  • Mariah purchased a car for $8,599. If the rate of depreciation is 2.5%, what will the value of the car be after 4 years? Round y
    11·1 answer
  • What is a solution to the equation 3 / m + 3 - M / 3 - M equals m^2 + 9 / m^2-9?​
    5·1 answer
  • Use three fours to make 11.
    6·1 answer
  • Please help ..........​
    9·1 answer
  • This is the picture that goes with my question.​
    10·1 answer
  • A student is trying to calculate his semester average. He knows that his test average is an 80, his quiz average is a 72, homewo
    8·1 answer
  • If 34 container of paint covers 35 of a wall, which statement is true?
    11·1 answer
  • Two fair dice are rolled at the same time. What is the probability that one die will show 3 and the other will show 4? A. 1/36
    13·1 answer
  • Sweet Dreams Bakery sells apple, cherry, and pumpkin pies. Yesterday, the bakery sold 20 more apple pies than cherry pies, and 1
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!