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Lapatulllka [165]
3 years ago
13

There are 5,000 employees in a company. Each year 20% of the employees retire, but the company hires 500 new employees after the

reduction. Write a recursive rule to find the number of employees for any year
Mathematics
1 answer:
Genrish500 [490]3 years ago
8 0
5,000/2=250
5,000-250+500= 5,025

I hope that is what you needed
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Find two unit vectors orthogonal to both given vectors. i j k, 4i k
Maurinko [17]
The cross product of two vectors gives a third vector \mathbf v that is orthogonal to the first two.

\mathbf v=(\vec i+\vec j+\vec k)\times(4\,\vec i+\vec k)=\begin{vmatrix}\vec i&\vec j&\vec k\\1&1&1\\4&0&1\end{vmatrix}=\vec i+3\,\vec j-4\,\vec k

Normalize this vector by dividing it by its norm:

\dfrac{\mathbf v}{\|\mathbf v\|}=\dfrac{\vec i+3\,\vec j-4\,\vec k}{\sqrt{1^2+3^2+(-4)^2}}=\dfrac1{\sqrt{26}}(\vec i+3\,\vec j-4\vec k)

To get another vector orthogonal to the first two, you can just change the sign and use -\mathbf v.
6 0
3 years ago
A machine can pack 80 cans in 5 minutes. Choose all of the values that show the ratio of cans to minutes.​
Drupady [299]

Answer:

16 cans per minute

Step-by-step explanation:

Its simple 80 divided by 5 is 16 so ever minute 16 cans are packed.

4 0
2 years ago
The expression once The left side of an equation is shown below. 3(x+1)+9 if the equation has no solution which expression can b
lys-0071 [83]
<h3>Answer:</h3>

C. 4(x-3)-x

<h3>Step-by-step explanation:</h3>

All of the given expressions are equivalent to 3x+12 except selection C. Using that in your equation makes it be ...

... 3(x +1) +9 = 4(x -3) -x

... 3x +12 = 3x -12

... 12 = -12 . . . . . <em>false</em>

There is no value of x that will make this true, hence NO SOLUTION.

_____

<em>Comment on the other choices</em>

3x+12 = 3x+12 has an <em>infinite number of solutions</em>, as <u><em>any</em></u> value of x will make this true.

7 0
3 years ago
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If the measure of angle 5 is (11 x minus 14) degrees and x = 6, which expression could represent the measure of angle 2? 3 lines
g100num [7]

Answer:

The measure of angle 2 is 52°.

Step-by-step explanation:

Consider the below figure attached with this question.

It is given that

m\angle 5=(11x-14)^{\circ}

and x=6.

From the below figure it is clear that Lines 1,2 and 3 intersect each other at a point and form 6 angles.

It is clear that angle 2 and angle 5 are vertical opposite angles because these angles created by intersection of line 2 and line 3.

If two lines intersect each other then vertical opposite angles are congruent.

m\angle 2=m\angle 5                   (vertical opposite angles)

m\angle 2=(11x-14)^{\circ}

Substitute x=6.

m\angle 2=(11(6)-14)^{\circ}

m\angle 2=(66-14)^{\circ}

m\angle 2=52^{\circ}

Therefore, the measure of angle 2 is 52°.

6 0
3 years ago
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If a person types 300 words in 5 minutes with 5 errors what is their typing speed?
GenaCL600 [577]
The answer would be 60 miles per hour
7 0
3 years ago
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