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3 years ago

Solve for k. show work!

Mathematics

1 answer:

dolphi86 [110]3 years ago

4 0

Answer:

71 degrees

Step-by-step explanation:

A right angle is 90 degrees, so the answer is 90-19=71 degrees.

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What is one tenth seven hundredths three thousandths in standard form?

Lina20 [59]

Answer:

173/1000

Step-by-step explanation:

8 0

2 years ago

What is the solution to the system? 1. x-y + 2 z = -7<br> 2. y + z =1<br> 3. x-2 y - 3 z = 0

kvv77 [185]

You'd find this problem easier to understand and do if you'd please list the defining equations vertically and line up variables:

1. x - 1y + 2 z = -7

2. y + 1z = 1

3. x - 2 y - 3 z = 0 Now eliminate the line numbers:

x - 1y + 2 z = -7

1y + 1 z = 1

x - 2 y - 3 z = 0

Let's use the elimination method to eliminate variable z: Seeing that z = 1 - y, we transform the first equation into 1x - 1y + 2(1-y) = -7

and the third into x - 2y - 3(1-y) = 0.

Simplifying 1x - 1y + 2(1-y) = -7

and x - 2y - 3(1-y) = 0,

we get

1x - 2y - 3 + 3y) = 0 and 1x - 1y + 2 - 2y = -7

which in turn simplify to

1x + y = 3 and 1x - 3y = -9

Having eliminated the variable z, we now focus on eliminating x. Mult. the 1st equation by -1, obtaining -1x - 1y = -3. Add this result to 1x - 3y = -9:

0 - 4y = -12, which tells us that y = 3. Subbing 3 for y in 1x + 1y = 3 tells us that x = 0.

All we have left to determine is the vaue of z.

Borrowing Equation 3, from above, we get x - 2 y - 3 z = 0, and into this equation we substitute x = 0 and y = 3: 0 -2(3) - 3z = 0.

Thus, -3z = 6, and z = -2.

The solution set is (0, 3, -2). You should check this by substitution.

3 0

3 years ago

Your parents car initially costs $18,000 and it depreciates at a rate of 12% a year. How much will the car be worth after 5 year

coldgirl [10]

Answer:

Step-by-step explanation:

value after five years = $18,000×(1-0.12)⁵ = 18,000×0.88⁵ = $9,499.17

:::::

The value drops below $2,000 in the 17th year.

7 0

3 years ago

Is "2.323223222…" a rational number.

gayaneshka [121]

Answer:

No,

Step-by-step explanation:

No, it's irrational.

Because, it is a non-terminating non recurring type number.

3 0

2 years ago

1) Draw the arrow diagram and the matrix representation for the relation: R={(1, 2), (3, 4), (2, 3), (3, 2), (2, 1), (3, 1), (4,

tensa zangetsu [6.8K]

Answer:

The arrow diagram and the matrix representation for the relation is shown below.

Step-by-step explanation:

The given relation is

R={(1, 2), (3, 4), (2, 3), (3, 2), (2, 1), (3, 1), (4, 3)}

If a relation is defined as

$R=\{(x,y)|x\in R,y\in R\}$

Then the set of x values is domain and set of y values is range.

The domain of the function is

Domain={1, 2, 3, 4)

The range of the function is

Range={1, 2, 3, 4)

In arrow diagram, we have two sets first set represents the domain and second set represents the range. The arrow connecting the element represent the relation.

In matrix representation,

$M_{ij}=\begin{cases}1 & \text{ if } (x_i,y_j)\in R \\ 0 & \text{ if } (x_i,y_j)\notin R\end{cases}$

The arrow diagram and the matrix representation for the relation is shown below.

6 0

3 years ago