Over twenty years, it was found that the number of doctors of medicine, MD (in thousands), in the United States can be approximated by MD=(28,390+693t)/(85-t) where t=0 represents 1980. The number of doctors of osteopathy, DO (in thousands), can be approximated by DO=(776-12t)/(65-2t) .Write an expression for the total number I of doctors of medicine (MD) and doctors of osteopathy (DO). Simplify the result.

How many MDs did the United States have in 2010? How many MDs did the United States have in 2010?

Answers

Answer 1
Answer:

The expression for the total number of doctors is (-1374t^2+43192.22t+67805.35)/((65-2t)(85-t) )

We have to write an expression for the number of MD and DO

a. MD + DO

(28390+693t)/(85-t) +(776-12t)/(65-2t)

This can be simplified as

((28390+693t)(65-2t)+(776-12t)(85-t) )/((85-t)(65-2t) )

= (-1374t^2+43192.22t+67805.35)/((65-2t)(85-t) )

b. If t = 0 in 1980, in 2010, t = 30

The number of MD would be

(28390+693*30)/(85-30) \n= 379

The number of DO would be

(776-12*30)/(65-2*30)\n\n= 83

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Answer 2
Answer:

Answer:

16. the expression below.

17. about 470,933 MD's and about 18,743 DO's


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Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro delivered 5 newspapers and earned $37.50. This week, he delivered 20 newspapers and earned $75. Let x equal the number of newspapers Pedro delivers and y be the earnings he receives in dollars. Which linear function models the scenario?

Answers

y=mx+b
x=number of newspapers
37.5 earned for 5 newspapers
37.5=5m+b

earned 75 and deliverd 20 newpapers
75=20m+b

we have

37.5=5m+b and
75=20m+b
multiply first equaiton by -1 and add to other equaiton

-37.5=-5m-b
75=20m+b  +
37.5=15m+0b

37.5=15m
divide both sides by 15
2.5=m

sub back to find b
75=2.5(20)+b
75=50+b
minsu 50 both sides
25=b

y=2.5x+25 is lnear funtion

The linearfunction is y=2.5x+25

What is linear function?

A linear function is a function whose graph is a straightline, that is, a polynomial function of degreezero or one.

As, we know equation of line

y=mx + b

x=number of newspapers

37.5=5m+b...............(1)

also,

75=20m+b....................(2)

Solving (1) and (2) , we get

37.5=15m

m=2.5

and, 75=2.5(20)+b

75=50+b

b= 25

Hence, y=2.5x+25 is linear function.

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What is x?
35=5(x+9)

Answers

Answer:

x = -2

Step-by-step explanation:

How to solve -5/7-11/7x=-y
2y=7+5x

Answers

\left\{\begin{array}{ccc}-(5)/(7)-(11)/(7)x=-y&/\cdot(-1)\n2y=7+5x\end{array}\right\n\left\{\begin{array}{ccc}(5)/(7)+(11)/(7)x=y\n2y=7+5x\end{array}\right\n\nsubstitute\n\n2\cdot\left((5)/(7)+(11)/(7)x\right)=7+5x\n\n(10)/(7)+(22)/(7)x=7+5x\ \ \ /\cdot7\n\n10+22x=49+35x\n\n22x-35x=49-10\n\n-13x=39\ \ \ /:(-13)\n\nx=-3

\left\{\begin{array}{ccc}x=-3\ny=(5)/(7)+(11)/(7)x\end{array}\right\n\left\{\begin{array}{ccc}x=-3\ny=(5)/(7)+(11)/(7)\cdot(-3)\end{array}\right\n\left\{\begin{array}{ccc}x=-3\ny=(5)/(7)-(33)/(7)\end{array}\right\n\left\{\begin{array}{ccc}x=-3\ny=-(28)/(7)\end{array}\right\n\left\{\begin{array}{ccc}x=-3\ny=-4\end{array}\right

What can I multiple -8x-4y-3z=11 so that the X variable Can eliminate with 6x+8y-7z=-63

Answers

Answer:

fhk frrhjklnby

Step-by-step explanation:

g pay no of the month of November month of the year end of the day is a very happy birthday to you and your family members of the world cup final in the world cup today and today is the last date of the day of the day and the day I was in the same time for you and your family members and all the best for your future

Question 1 Which expression is the simplified form of the square root 150 times b cubed?

6 times b times the square root of 5 times b

5 times b times the square root of 6

6 times b times the square root of 5

5 times b times the square root of 6 times b

Answers

5 times b times the square root of 6 times b;
\sqrt{150* b^(3) }
\sqrt{25*6* b^(3) }
=5b√(6b)

Answer:

The simplified form of the given expression is:

       5 times b times the square root of 6 times b .

Step-by-step explanation:

We are given a expression in  words as:

     square root 150 times b cubed.

Now mathematically it is expressed as:

   √(150b^3)

Now on simplifying as follows:

√(150b^3)=√(5^2* 3* 2* b^2* b)\n\n√(150b^3)=√((5b)^2* 6b)\n\n√(150b^3)=√((5b)^2)* √(6b)\n\n√(150b^3)=5b√(6b)

Hence, we obtain the expression:

                     5 times b times the square root of 6 times b .

(i.e.  5b√(6b)   )

Use the cubic model y=5a^3-2a^2+a-45 to find the value of y when x=4.

Answers

Answer:

y = 247

Step-by-step explanation:

The given cubic model that expresses the value of y is

y = 5a³ - 2a² + a - 45

We have to find the value of y at a = 4

We can calculate the value of y by putting a = 4

y = 5(4)³ - 2(4)² + 4 - 45

 = 5(64) - 2(16) - 41

 = 320 - 32 - 41

 = 247

y = 247

easy
remember: exponents first

y=5(4³)-2(4²)+4-45
y=5(64)-2(16)-41
y=320-32-41
y=288-41
y=247

answer is 247