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svp [43]
4 years ago
7

Formula of minimmum pressure​

Mathematics
1 answer:
Dafna11 [192]4 years ago
3 0
P = W/A.
Where W =weight ,A =area
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Find the value of t for which (4,6,3, t) is a linear combination of (1,3,-4,1), (2,8,-5,-1) and (-1,-5,0,2)
Andrew [12]

The value of t for which (4, 6, 3, t) is a <em>linear</em> combination of (1, 3, - 4, 1), (2, 8, - 5, - 1) and (- 1, - 5, 0, 2) is equal to 13.

<h3>How to find a vector as a linear combination of other vectors</h3>

In this question we must solve for t such that (4, 6, 3, t) is a linear combination of vectors (1, 3, - 4, 1), (2, 8, - 5, - 1) and (- 1, - 5, 0, 2), which means that <em>non-zero</em> coefficients have to be found by <em>algebraic</em> handling:

(4, 6, 3, t) = α₁ · (1, 3, - 4, 1) + α₂ · (2, 8, - 5, - 1) + α₃ · (- 1, - 5, 0, 2)

Which is equivalent to this system of linear equations:

α₁ + 2 · α₂ - α₃ = 4

3 · α₁ + 8 · α₂ - 5 · α₃ = 6

- 4 · α₁ - 5 · α₂ = 3

α₁ - α₂ + 2 · α₃ - t = 0

Whose solution is (α₁, α₂, α₃, t) = (38, - 31,  - 28, 13). The value of t for which (4, 6, 3, t) is a <em>linear</em> combination of (1, 3, - 4, 1), (2, 8, - 5, - 1) and (- 1, - 5, 0, 2) is equal to 13.

To learn more on linear combinations: brainly.com/question/9672435

#SPJ1

8 0
2 years ago
A pakage of 5 pairs of inclated gloves cost $29.45 what is the unit costof the pairs of gloves
castortr0y [4]
I'm not entirely sure of your question, but I'll try to answer haha. If you're asking what the unit would be for a pair of gloves, it would still be in dollars. If you're asking how much one pair of gloves costs, you would divide the total number (29.45) by the number of items you have (5 pairs). Your answer is $5.89 for a pair of gloves. Hope this helps, but sorry if it doesn't!
3 0
4 years ago
The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city
Tresset [83]

The quadratic regression equation for this data set is \rm y=-0.143x^2+0.59x+2.82\\.

<h3>What is the general form of a quadratic equation?</h3>

The general form of the quadratic equation is given by;

\rm ax^2+bx+c=0

Where; a, b, and c are the constants.

x;   0       1         2        3          4         5

y;  2.82  3. 29  3. 46  3. 33   2. 88  2. 24

From the table when the value of x = 0 the value of y is 2.82.

Then,

\rm y=ax^2+bx+c\\\\x=0\\\\2.82=a0^2+b(0)+c\\\\c=2.82

From the table when the value of x = 3 the value of y is 3.33.

\rm y=ax^2+bx+c\\\\x=3\\\\2.82=a(3)^2+b(3)+c\\\\9a+3b+2.82=2.82\\\\9a=-3b\\\\b=-3a\\\\

From the table when the value of x = 5 the value of y is 2.24.

\rm y=ax^2+bx+c\\\\x=3\\\\2.24=a(5)^2+(-3a)(5)+c\\\\25a-15a+2.82=2.24\\\\40a=2.24-2.82\\\\10a=-0.68\\\\a= \dfrac{-0.68}{10}\\\\a=-0.143

And the value of b is;

\rm b=3a\\\\b=3(-0.14)\\\\b=0.59

Therefore,

The quadratic regression equation for this data set is;

\rm y=ax^2+bx+c\\\\y=-0.143x^2+0.59x+2.82\\\\

Hence, the quadratic regression equation for this data set is \rm y=-0.143x^2+0.59x+2.82\\.

To know more about the Quadratic equation click the link given below.

brainly.com/question/14935613

8 0
3 years ago
you start with 15 dollars and save 8 dollars each week. What algebraic expression model of the total amount you saved
Darya [45]
15 + 8(7)=x?
15 + 8(x)= x? 
no i think it will be the first one! 
15 + 8(7)= x
hope that helped?!!!
:)
8 0
4 years ago
Solve the system of equations.
postnew [5]

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(20,−1)

Equation Form:

x=20,y=−1

plz mark me as brainliest :)

5 0
3 years ago
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