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labwork [276]
1 year ago
9

From this year to ten years, the number of people employed as physician assistants in the country is expected to increase by 39%

. The number of people employed as physician assistants today is 56,000. Find the predicted number of physician assistants after ten years.
Mathematics
1 answer:
scoray [572]1 year ago
8 0

Answer:

the predicted number of physician assistants after ten years is 77840.

Step-by-step explanation:

The number of people employed as physician assistants today is 56,000.

increment in employment =39%

after 10 years

total physicians=  56000*(1+0.39)  

[ total =initial + profit]

[profit =profit*initial]

=77840

the predicted number of physician assistants after ten years is 77840.

Learn more here

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Can anyone help me in explaining subtraction of polynomials please help I’m desperate and I’m pretty much on my own when it come
Sidana [21]

Answer:

Think of combining <u>like terms</u> when subtracting polynomials. For example, 3x² and -2x². They both have x² in common. So, if you were to combine 3x² and -2x², it would be like 3x² + (-2x²). Think of this like 3 + (-2), which equals 1. In this case, it would equal 1x² or x².

Let's take this problem for example: 6x² - 3x + 4 - (-2x² +2x - 2)

Parentheses are super important; The first thing you want to do is distribute the negative sign out to everything inside the parentheses!

So,

6x² - 3x + 4 - (-2x² +2x - 2) *multiply the neg. to -2x², 2x, and -2

Now, if you do that, the equation would now look like:

6x² - 3x + 4 + 2x² - 2x + 2

Now think of combining like terms. Here are the like terms:

6x² <em>- 3x</em> <u>+ 4</u> + 2x² <em>- 2x</em> <u>+ 2</u> (Let's rewrite it to look like this...)

6x² + 2x² <em>- 3x</em> <em>- 2x </em><u>+ 4</u> <u>+ 2</u>

Let's combine the x²'s first, so... 6x² + 2x² = 8x²

Let's combine the x's, so...<em> -3x - 2x = -5x</em>

Let's combine the constants (numbers with no variable), so... <u>4 + 2 = 6</u>

<u />

Your solution should be 8x² - 5x + 6

4 0
2 years ago
A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere
pentagon [3]

Answer:

V=298.5cm^3

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

SA=4\pi r^2

from this formula we clear the radius r:

r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }

and we substitute the known value of the surface area, and also the value of \pi:

r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm

and now that we know the radius we find the volume:

V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3

the volume of the sphere is 298.5cm^3

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2 years ago
A car rental agency advertised renting a car for $26.95 per day and $0.27 per mile. If David rents this car for 3 days, how many
Lapatulllka [165]

Step-by-step explanation:

1 day = $ 26.95

3 days = 26.95 × 3

= $80.85

Remainder = $100 - $80.85

= $19.15

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= $19.15 ÷ $0.27

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2 years ago
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A horticulturist wants to improve the soil quality in a garden by adding 120 pounds of nitrogen and 54 pounds of potassium. A pa
eimsori [14]

x and y are the packs of organic and inorganic fertilizer, respectively.

pounds of nitrogen added = 2x + 6y = 120

pounds of potassium added = 3x + 2y = 54

eliminate the y terms. subtract the first equation from 3 times the second equation.

9x + 6y = 162

-2x - 6y = -120

------------------

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x = 6

y = 18

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3 years ago
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Answer:

B.

\frac{1}{ \sqrt{2} }

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