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asambeis [7]
3 years ago
14

Paracelsus University has two kinds of professors: academic professors and professional professors. At Paracelsus University, 60

% of the professors are academic professors, and 70% of the professors are tenured. If 90% of the professors at Paracelsus University are academic professors or tenured or both, then what percent of the professional professors there are tenured?A. 25
B. 37.5
C. 50
D. 62.5
E. 75
Mathematics
1 answer:
Phoenix [80]3 years ago
7 0
I got b that’s what I got
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ΔABC has vertices A(0,10), B(4,10), and C(-2,4).
laiz [17]

A simple diagram will show you the intersection of altitudes is in the 2nd quadrant. It must have x-coordinate -2, as the altitude to the "base" y=10 must be the vertical line through (-2, 4).

The appropriate choice is ...

... C: (-2, 12)

8 0
3 years ago
Write three equations whose solution is x=3.5
My name is Ann [436]

Answer:

  • 1. 2x + 23 = 30
  • 2. 3x + 19.5 = 30
  • 3. (10x - 20)/ 5 = 3

Explanation:

Work backward:

1. 2x + 23 = 30

Start:

  • x = 3.5

Multiply the equation by 2:

  • 2x = 2 (3.5)
  • 2x = 7

Subtract 30 from both sides

  • 2x - 30 = 7 - 30
  • 2x - 30 = -23

Add 23 and 30 to both sides:

  • 2x + 23 = 30

2. 3x + 19.5 = 30

Start:

  • x = 3.5

Add 6.5 to both sides:

  • x + 6.5 = 10

Multiply by 3:

  • 3(x + 6.5) = 30

Distributive property:

  • 3x + 19.5 = 30

3. (10x - 20)/ 5 = 3

Start:

  • x=3.5

Multiply by 10:

  • 10x = 35

Subtract 20:

  • 10x - 20 = 15

Divide by 5:

  • (10x - 20)/ 5 = 15/5

  • (10x - 20) / 5 = 3
3 0
3 years ago
The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = -2. The y-intercept
Maru [420]

Answer:

p(x) =  - 0.7(x - 3)^{2} (x + 2)

Step-by-step explanation:

We have that the polynomial, has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = -2.

This means the factored form of the polynomial will be.

p(x) = a(x - 3)^{2} (x + 2)

Also, it was given that, the y-intercept is y=-12.6.

This implies that:

- 12.6= a(0 - 3)^{2} (0 + 2)

- 12.6= a(- 3)^{2} (2)

- 12.6= 18a

Divide both sides by 18;

a =  \frac{ - 12.6}{18}

a= - 0.7

Therefore the polynomial is

p(x) =  - 0.7(x - 3)^{2} (x + 2)

7 0
3 years ago
Is 52 right??? This is my 4th post
Snezhnost [94]

Answer:

Yes I think so

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How many times is 1 trillion greater than 1 billion
vodomira [7]

1 trillion can be written as 1,000,000,000,000

1 billion can be written as 1,000,000,000

There are 3 more 0’s in 1 trillion than there are in 1 billion, so therefore 1 trillion is 1,000 times greater than 1 billion.

If you have any further questions feel free to ask.

Hope this helps

8 0
3 years ago
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