Dr. David Smith lived 1/13 of his life as a child. He spent 4/39 of his life preparing for an outstanding
medical career. For 1/ 2 of his life, he was a successful surgeon in a famous children's hospital. Since his
retirement, he has lived 13 years on a comfortable pension. How old is he? (unrealistic answer))

Answers

Answer 1

Answer:

40 14/25 years

Step-by-step explanation:

Well, this certainly is fun.

First, to find the fraction of the doctor's life which 13 years represents, subtract the fractions from 1 (and in this case l stands for lifetime):

[tex]13 = (1 - (\frac{1}{13} + \frac{4}{39} + \frac{1}{2}))(l)[/tex]

[tex]13 = (\frac{25}{78})(l)[/tex]

So, multiply this equation by the reciprocal of 25/78 to isolate one of l:

[tex]13(\frac{78}{25}) = l[/tex]

[tex]l = 40\frac{14}{25}[/tex] years


Related Questions

Determine which equation has exactly one real solution. PLS HELPP

Answers

Answer:

b)  [tex]4x^2-12x+9=0[/tex]

Step-by-step explanation:

We can use the discriminant [tex]b^2-4ac[/tex] to determine how many real solutions a quadratic equation in the form [tex]ax^2+bx+c=0[/tex] has.

discriminant > 0 ⇒ 2 real solutionsdiscriminant = 0 ⇒ 1 real solutiondiscriminant < 0 ⇒ no real solutions

[tex]5x^2+9x-4=0[/tex]

[tex]b^2-4ac=9^2-4(5)(-4)=161 > 0\implies \textsf{2 solutions}[/tex]

[tex]4x^2-12x+9=0[/tex]

[tex]b^2-4ac=(-12)^2-4(4)(9)=0 \implies \textsf{1 solution}[/tex]

[tex]-9x^2+6x+1=0[/tex]

[tex]b^2-4ac=6^2-4(-9)(1)=72 > 0 \implies \textsf{2 solutions}[/tex]

[tex]-2x^2-7=0[/tex]

[tex]b^2-4ac=0^2-4(-2)(-7)=-56 < 0 \implies \textsf{no solutions}[/tex]

please help!! this is for my midterm.

Answers

Answer: A

Step-by-step explanation: It looks like it matches up to the y value, plus d has 6 points and c has two points in the same area and b doesn’t look as good as a

What is the chance of rolling an odd number on a 6−sided die?

Answers

Answer:

1/2 or 50%

Step-by-step explanation:

there is 6 numbers non a dice 1-6

1, 3, and 5 are odd

2, 4, and 6 are odd

3/6 are odd and 3/6 are even

3/6 is simplified to 1/2

1/2 as percent is 50%

2/5 of a number is 14 what’s the number

Answers

35 is the answer to your question

Select the correct answer from each drop-down menu. Polygon ABCD goes through a sequence of rigid transformations to form polygon A′B′C′D′. The sequence of transformations involved is a reflection across the , followed by a reflection across the line . Reset Next

Answers

Answer:

The sequence of transformations involved is a reflection across the x axis, followed by a reflection across the y = x line

Step-by-step explanation:

The polygon ABCD is shown in the image attached. The coordinates of the polygon are A(-6, 6), B(-4, 6), C(-4, 4), D(-6, 2), while the polygon A'B'C'D' is at A'(-6, -6), B'(-6, -4), C'(-4, -4), D'(-2, -6)

A transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, dilation and rotation.

If a point O(x, y) is reflected across the x axis, the new coordinate is O'(x, -y).

If a point O(x, y) is reflected across the y = x line, the new coordinate is O'(y, x)

Hence if polygon ABCD is reflected across the x axis, the new coordinates are A*(-6, -6), B*(-4, -6), C*(-4, -4), D*(-6, -2). If a reflection across the y = x line, the new coordinates are A'(-6, -6), B'(-6, -4), C'(-4, -4), D'(-2, -6)

Answer:

Polygon ABCD goes through a sequence of rigid transformations to form polygon A′B′C′D′. The sequence of transformations involved is a reflection across the y-axisy = -x, followed by a reflection across the line y = xy = -x.

Step-by-step explanation:

The wholesale price for a bookcase is $105. A certain furniture store marks up the wholesale price by 28% Find the price of the bookcase in the furniture store.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

$134.40

Step-by-step explanation:

The markup is 28% of 105, or .28(105) = $29.40

Thus the retail price is $105 + $29.40 = $134.40

The price of the bookcase in the furniture store, after a 28% markup on the wholesale price, is $134.40.

To find the price of the bookcase in the furniture store after a 28% markup on the wholesale price, we need to add the markup amount to the wholesale price.

The markup amount is calculated by multiplying the wholesale price by the markup percentage (expressed as a decimal). In this case, the markup percentage is 28%, which is equivalent to 0.28 as a decimal.

Markup amount = Wholesale price * Markup percentage

Markup amount = $105 * 0.28

Markup amount = $29.40

Now, to find the price of the bookcase in the furniture store, we add the markup amount to the wholesale price:

Price in the furniture store = Wholesale price + Markup amount

Price in the furniture store = $105 + $29.40

Price in the furniture store = $134.40

To learn more about price/percentage click on,

https://brainly.com/question/29247503

#SPJ2

HELPPP FOR BRAINEST!!!

Answers

Answer:

Whether a net force acts on the object.

Step-by-step explanation:

Newtons first law states that an object will remain at rest unless it is acted upon by an imbalanced force.

what is the domain of this function?​

Answers

Answer:

B

Step-by-step explanation:

Domain is basically x. The left side is connecting with the right side (y).

this is why the domain is B

Hope this helps!

B is the answer to “what is the domain of this function”

Enter the value of (8)(50)(1/8).

Answers

Answer:

50

Step-by-step explanation:

8×50×1/8

50×1

50

:) have a good day/night!

Ms. Leong owned an ice cream store and had chocolate ice cream and vanilla ice cream for sale. She sold ¾ of the chocolate ice cream and ½ of the vanilla ice cream. If, at the end of the day, she had 20 scoops of chocolate ice cream and 30 scoops of vanilla ice cream left, what is the total number of scoops of ice cream Ms. Leong had at the start of the day?

Answers

Answer:

140

Step-by-step explanation

Answer:140

Step-by-step explanation:

ur welcome

2x+6=-72
what does x equal

Answers

Answer:

- 39

Step-by-step explanation:

Step 1:

2x + 6 = - 72         Equation

Step 2:

2x = - 78      Subtract 6 on both sides

Step 3:

x = - 78 ÷ 2         Divide

Answer:

x = - 39

Hope This Helps :)

Answer:

2x+6=-72

-6 -6

6 cancles out on the left side.

2x=-78

divide 2 on each side

66/2=-39

x=-39

Find the value of the variables in each figure. Explain your reasoning.

Answers

Answer:

see explanation

Step-by-step explanation:

The figure has one pair of parallel sides and is a trapezoid.

Each lower base angle is supplementary to the upper base angle on the same side, thus

15x + 30 + 10x = 180 , that is

25x + 30 = 180 ( subtract 30 from both sides )

25x = 150 ( divide both sides by 25 )

x = 6

Also

3y + 18 + 90 = 180 , that is

3y + 108 = 180 ( subtract 108 from both sides )

3y = 72 ( divide both sides by 3 )

y = 24

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

2x, 90 and x lie on a straight line and sum to 180 , thus

2x + 90 + x = 180 , that is

3x + 90 = 180 ( subtract 90 from both sides )

3x = 90 ( divide both sides by 3 )

x = 30

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

2y and x are alternate angles and congruent , thus

2y = x = 30 ( divide both sides by 2 )

y = 15

f(x) = 2x^2 + 24x + 3

How do I find the vertex of this function?

Answers

Answer:

(-6,-69)

Step-by-step explanation:

y=2x^2 + 24x + 3

=2(x^2+12x+36)-2*36+3

=x(x+6)^2-69

vertex: when x=-6. y=-69

Shaun keeps his baseball card collection in an album. The album has 25 pages, and each page can hold 9 cards. Four pages are empty, and the rest are full. Write an equation that can be used to determine the number of baseball cards b in Shaun's collection.

Answers

Answer:

25x5-4=b

Step-by-step explanation:

The equation to determine the number of baseball cards in Shaun's collection is b = (25 - 4) × 9

Number of pages in the album = 25 pages

Number of empty pages = 4

Number of full pages = 25 pages - 4 pages = 21 pages.

Number of cards that each page can hold = 9 cards.

Therefore, the equation to determine the number of baseball cards in Shaun's collection will be:

b = (25 - 4) × 9

b = 21 × 9

b = 189 cards.

There are 189 cards in the collection.

Read related link on:

https://brainly.com/question/18084619

Which absolute value function, when graphed,
represents the parent function, f(x) = \X], reflected
over the x-axis and translated 1 unit to the right?
f(x) = x1
3 2 -1,
Of(x) = -x + 1
Of(x) = -IX – 11
Of(x) = -x + 1
Of(x) = |-X-11
-2
-3

Answers

An absolute value function, which when graphed, represents the parent function, f(x) = |x|, reflected over the x-axis and translated 1 unit to the right include the following: B. f(x) = –|x – 1|.

What is a reflection across or over the x-axis?

In Mathematics, a reflection across or over the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would either change from positive to negative or negative to positive.

This ultimately implies that, a reflection across the x-axis is given by this transformation rule: (x, y)  →  (x, -y).

By applying a reflection across or over the x-axis to the function, we have the following;

f(x) = -|x|

-f(x)' = |x|

f(x)' = -|x|

Next, we would translate the function to the right by 1 unit as follows;

f(x)' = -|x - 1|

Read more on reflection here: brainly.com/question/24678259

#SPJ1

What is the difference between-10 and9?????

Answers

Answer:-10-9=

-19

Step-by-step explanation:

name an angle adjacent to AOB

Answers

Answer: B.

Step-by-step explanation:

your answer is what????

Answers

Answer:

4 Hours and 32 minutes

Step-by-step explanation:

Let's first find the amount between 9:15 to 2:17

The difference between 9:00 and 2: 00 is 5 Hours

Now the minutes ->  17-15 = 2

Thus, the difference is 5 Hour and 2 Minutes

Then She took a 30 minutes break for lunch.

Let's convent all to minutes:

1 Hour = 60

Then 60  x 5  = 300

Plus the 2 minutes is

302

Now 302 minutes - 30 minutes = 272 minutes

Now convent back to Hour

Thus, 272/60 =4 with a remainder of 32.

Hence, it took stephanie 4 hour and 32 minutes to finish her SOL test.

~Lenvy

-24 + 6x < 36, solve for X

Answers

x<10

Step-by-step explanation:

-24+6x<36

6x<36+24

6x<60

x<10

What is the remainder when r' + 3 is divided by r - 1?

Answers

Answer:

Step-by-step explanation:

woldnt you just find what r equals what ever it equals you ad then do the same thing to the otther side and then  you would just dived what equals


What is the relationship between 7 and —7?

Answers

Answer: absolute value

Step-by-step explanation:

Sorry for my writing it’s horrible ik I’m in a hurry rn lol

12-inch-tall boxes are being stacked next to 8-inch-tall boxes.
What is the shortest height at which these two stacks will be the same height?

Answers

find lowest common multiple of 12 and 8
= 24inches

Answer:

I just answered your other question. BTW, Its two 12-inch boxes, and three 8-inch boxes

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

What is the Volume and Surface Area of the following figure?

Answers

Answer:

71.4

Step-by-step explanation:

you wiil plus it by 30.4+27+14 that is how i got71.4

HELP IF YOU'RE GOOD AT GEOMETRY

Answers

Answer:

corresponding angles- 4 and 8, 3 and 7, 1 and 5, 2 and 6

same side interior angles- 2 and 5, 3 and 8

alternate interior angles- 3 and 5, 2 and 8

alternate exterior angles- 1 and 7, 4 and 6

Step-by-step explanation:

One of the legs of a right triangle measures 19 em and its hypotenuse measures 20
cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Use the Pythagorean theorem;
A^2 +B^2 =C^2
C is the hypotenuse
The equation will be 19^2 + x^2 =20^2
“X is the Messing leg”

The answer is 6.2

STUDY TIME VS.
AVERAGE TEST SCORES
90
4. The following graph shows the relationship between
students' test scores and the amount of time they spent
studying
85
80
Is this relationship a function? Explain your reasoning.
Average Test Score
75
.
70
0 5 10 15 20 25 30
Study Time

Answers

add the total and get answer by could be a function too

11 Which group of numbers is in order
from greatest to least?
A. 7.095, 7.905, 8.009, 8.905
B. 8.905, 8.007, 7.903, 7.093
C. 8.905, 7.903, 8.007, 7.093
D. 7.903, 8.007, 8.905, 7.093

Answers

Answer:

B. 8.905, 8.007, 7.903, 7.093  :)

Step-by-step explanation:

Hello!

A is correct


Hope this helps!

-Bambi

simplify 4/7 + 5/6 whoever possible

Answers

Hey there!

4/7 + 5/6

≈ 24/42 + 35/42

≈ 24 + 36/ 42 - 0

≈ 59/42

≈ 1 17/42



Therefore, your answer is:

59/42 or 1 17/42

EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE EQUIVALENT.


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

If f(x) = x to the 2nd power+ 2x - 10, what is f(-2)?

Answers

Answer:

Step-by-step explanation:

f(-2)= x^2+2x-10= (-2)^2+2(-2)-10= 4-4-10= 0-10 = -10

17. Find the perimeter of the rectangle. please help me

Answers

i believe it’s 68 ft
Other Questions
What is the range of this data set?{23.9, 37.2, 21.5, 30.8, 30.4, 26.9, 28.1, 25.1, 38.4, 26.7, 37.9, 35.7}Enter your answer as a decimal in the box.Will give brainiest for the first right answer! NEED HELP ASAP WILL GIVE 30 POINTS IF U ANSWER PZZ HELP DUE TODAYSelect the correct answer.Read these two excerpts from Lincolns First Inaugural Address (Excerpt 1) and Daviss Inaugural Address (Excerpt 2). How are the speakers arguments in the excerpts different?Excerpt 1I hold that, in contemplation of universal law and of the Constitution, the Union of these States is perpetual. Perpetuity is implied, if not expressed, in the fundamental law of all national governments. It is safe to assert that no government proper ever had a provision in its organic law for its own termination. Continue to execute all the express provisions of our National Constitution, and the Union will endure foreverit being impossible to destroy it except by some action not provided for in the instrument itself.Excerpt 2 We have entered upon the career of independence, and it must be inflexibly pursued. Through many years of controversy with our late associates, the Northern States, we have vainly endeavored to secure tranquility, and to obtain respect for the rights to which we were entitled. As a necessity, not a choice, we have resorted to the remedy of separation; and henceforth our energies must be directed to the conduct of our own affairs, and the perpetuity of the Confederacy which we have formed. A. One focuses on the independence of governments around the world, and the other focuses on the independence of the Union.B. One speaks of the permanent existence of the Union, and the other speaks of the permanent existence of the Confederacy.C. One argues for continuing to enslave people, and the other argues for putting an end to the enslavement of people.D. One describes how a government can destroy itself, and the other describes how a government can protect itself. What is the purpose of this source?to describe the challenges faced by those living outside of the citiesto show similarities in the living conditions of those inside and outside of the citiesto contrast the different living conditions for the middle and working classesto show the positive effects of urbanization for those who lived in industrialized cities two things needed to produce electricity: 1. 2. The Mongol Empireestablishes the Yuandynasty in ChinaDynastic rule endsas the Republic ofChina is formed.China is renamedthe People'sRepublic of ChinaA. The Nationalist Party establishes power in Taiwan.B. People settle along the Huang He and Chiang Jiang rivers.C. The Qing dynasty loses a war with Great Britain.D. The Ming dynasty expands China's Grand Canal and Great Wall. Define social control Amendments have been passed to do all of the following EXCEPT:A.give voting rights to all citizensB.allow only the smartest, most qualified citizens to vote on the governmentC.lower the voting age so that those who are old enough to go to war are old enough to voteD.determine how citizens vote the president and vice president into office I14: Unit FOUR Quiz4Select the correct answer.Atmospheric scientists study weather patterns.A.TrueB.FalseResetNext C(n)=1/500 n^2-n +200 where is n is the number. does the cost have a minimum or maximum value explain I dont know you can help me pleaseeeeee An engineer sketches a design for a flashlight that uses a mirror in the shape of a parabola to maximize the output of the light. the function representing the mirror is graphed on the left. which function models the situation? f(x) = (x 6)2 2 f(x) = (x 0)2 20 f(x) = 3(x 6)2 2 f(x) = 3(x 0)2 20 what is third-person omniscient narrator? The three-carbon structure that forms the backbone of a triglyceride is called. Find the value of[tex]\\ \rm\Rrightarrow {6+log_{\frac{3}{2}}\left(\dfrac{1}{3\sqrt{2}}\sqrt{4-\dfrac{1}{3\sqrt{2}}\sqrt{4-\dfrac{1}{3\sqrt{2}}\sqrt{4-\dfrac{1}{3\sqrt{2}}\dots}}}\right)}[/tex]Options are [tex]\sf \circ -4[/tex][tex]\sf \circ 1[/tex][tex]\sf \circ 4[/tex][tex]\sf \circ 2[/tex]Note:-Kindly don't answer wrong if you don't know .Spams/copied from web/short/wrong/irrelevant answers will be deleted on the spot . Why cant security gates detect plastic bomb ? What imagery from ""the latin deli: an ars poetica"" helps develop the woman who runs the bodega as a ""mother figure"" to people of various ages and cultures? she ""must trade"" with ""closed ports."" she is ""presiding over a formica counter."" she sells products that ""would cost less at the a There are 18 students in the math club.Of the 18 students, 1/6 have red hair. How many of the students have red hair?Part b: of the 18 students, 4/6 have brown hair. How many of the students have brown hair? Part c:What is the relationship do you notice between the number of students with brown hair and the number of students with red hair? wich one do you think is greater 4x 32/5 or 3x42/5 how can yu tell without multplying explain how does haemochromatosis affect human health?