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natita [175]
2 years ago
7

The value of x varies directly with the value of y, and when x=20, y=18. What is the value of “k”, the constant of proportionali

ty?
Mathematics
1 answer:
stealth61 [152]2 years ago
8 0

Answer:

In this case, y=30 and x=6, so 30=k*5<=> k=30/6=5.

Step-by-step explanation:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

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⚠️⚠️ help would be appreciated ⚠️⚠️
Pachacha [2.7K]

Answer:

(I rotated the trapezoid on the origin)

T' (-2, 2)

R' (-2, 5)

A' (-6, 2)

P' (-7, 5)

Step-by-step explanation:

The original points of the trapezoid were (2, -2), (2, -5), (6, -2) and (7, -5). Flipping trapezoid TRAP on the origin has the x and y coordinates showing their opposites from the original. So, find the opposite of each x and y coordinate to get the coordinates of the rotated trapezoid T'R'A'P'.

5 0
2 years ago
Use determinants to find out if the matrix is invertible.
wariber [46]

Answer:

The matrix is not invertible.

Step-by-step explanation:

We are given the following matrix in the question:

A =\left[\begin{array}{ccc}-5&0&1\\-1&3&2\\0&10&6\end{array}\right]

Condition for invertible matrix:

A matrix is invertible if and only if the the determinant is non-zero.

We can find the determinant of the matrix as:

|A| = -5[(3)(6)-(2)(10)]-0[(-1)(6)-(2)(0)] + 1[(-1)(10)-(3)(0)]\\|A| = -5(18-20)+(-10)\\|A| = 10-10\\|A| = 0

Since the determinant of the given matrix is zero, the given matrix is not invertible.

5 0
3 years ago
A medical lab is testing a drug that removes a certain percent of fluid from the lungs of a patient every eight hours. The expre
KatRina [158]

D.the number of times the drug has removed a certain percentage of fluid from the patient's lungs
8 0
3 years ago
Read 2 more answers
3) Solve the problem using your graphing calculator. Round all para meter values to the nearest hundredth.
Mama L [17]

Answer:

mmm, well, not much we can do per se, you'd need to use a calculator.

I'd like to point out you'd need a calculator that has regression features, namely something like a TI83 or TI83+ or higher.

That said, you can find online calculators with "quadratic regression" features, which is what this, all you do is enter the value pairs in it, to get the equation.

Step-by-step explanation:

8 0
2 years ago
What is the derivative of y=(4x+1)(1-x)^3
Rudik [331]
I am not so sure of this but I feel it would serve as hint

6 0
3 years ago
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