Cary is 5 5 years older than dan. in 5 years the sum of their ages will be 81. find the age of each man now.

Answers

Answer 1
C = Cary, D = Dan
C - 55 = D
(C + 5) + (D + 5) = 81
C = D + 55
(D + 55 + 5) + (D + 5) = 81
(D + 60) + (D + 5) = 81
2D = 16
D = 8
C = 8 + 55 = 63

Cary is 63 years old, and Dan is 8 years old
Answer 2
Let's call x the age of Cary and y the age of Dan.

y = x - 55
x + 5 + y + 5 = 81

Then,

x + 5 + x - 55 + 5 = 81
2x - 45 = 81
2x = 81 + 45
2x = 126
x = 126/2 = 63

Now, let's find y.

y = 63 - 55 = 8.

Therefore Cary is 63 years old and Dan is 8 years old.

Hope this helps !

Photon

Related Questions

Yuma needs a singer. Singer A is offering her services for an initial $55 in addition to $20 per hour. Singer B is offering his services for an initial $85 in addition to $5 per hour. When will the two singers charge the same amount of money? The two singers will charge the same amount of money after :blank: hours.What is the answer to the blank.

Answers

Equation for Singer A: 55 + 20x
Equation for Singer B: 85 + 5x

Make the two equations equal to each other and solve for x.

55 + 20x = 85 + 5x
20x - 5x = 85 - 55
15x = 30
x = 30/15 = 2 hours.

Answer:
At 2 hours both singers will charge the same amount of price.

Answer Check:
Singer A Cost: 55 + 20 (2 hours) = $ 95
Singer B Cost: 85 + 5 (2 hours) = $ 95

Choose the best decimal to represent 3 5/9

Answers

The decimal equivalent of 3 5/9 is 3.55555...
If the question asks for you to round to the nearest 10th it would be 3.6 and nearest hundredth would be 3.56 and so on.

Conversion of the fraction to decimal gives us; 3.55.....

How to get decimal from fraction?

There are different types of fractions such as;

Mixed Fractions

Improper Fractions

Proper Fractions

We are given the fraction as; 3 5/9

Now, this can also be expressed as:

3 + 5/9

We know that 5/9 when converted to decimal gives:

5/9 = 0.55555....

Approximating gives 0.55....

Thus;

3 + 5/9 = 3 + 0.55....

= 3.55.....

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You drive 70 miles per hour but then slow your speed by 15 miles per hour. You then return to your speed of 70 miles per hour. Which expression shows how your speed changed?

A. -70 + 15 + (-15) C. 70 + (-15) + (-15)
B. 70 + 15 + 15 D.70 + (-15) + 15

Answers

Driving 70 miles per hour.
Slow your speed means decrease in speed= 70+(-15)=70-15=55 miles/ hr
And then return to speed of 70 miles/hr means add 15 miles to the speed.
We get
70+(-15)+15 =70 miles / hr

Option D is correct.

Answer:Option D is correct

Step-by-step explanation:

I had the same problem and I clicked option D and it was correct

A​ country's people consume 6.36.3 billion pounds of candy​ (excluding chewing​ gum) per year. Express this quantity in terms of pounds per person per month. Note that the population of the country is 301301 million.

Answers

the correct question is
A​ country's people consume 6.3 billion pounds of candy​ (excluding chewing​ gum) per year. Express this quantity in terms of pounds per person per month. Note that the population of the country is 301 million.

we know that
1 billion------------------> 1000000000 (Thousand Million)=1 x 10^9
then
6.3 billion pounds--------------> 6.3 x 10^9 pounds
[pounds of candy per person per year]=[6.3 x 10^9 pounds]/[301 x 10^6]

[pounds of candy per person per year]=20.93 pounds per person per year

[pounds of candy per person per month]=20.93/12=1.74 pounds per person per month

the answer is 1.74 pounds per person per month

What is the exact volume of the sphere? 36.868π m³ 94.46π m³ 147.456π m³ 463.01π m³ Sphere with dotted line extending from middle point of sphere to edge. Line is labeled four and eight-tenths meters.

Answers

80% sure it b 94.46π m³

The solution is Option C.

The volume of the sphere is given by the equation V = 147.456π m³

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the volume of the sphere be represented as V

Now , the equation will be

Let the radius of the sphere be r

The value of r = ( 4 8/10 ) m

So , the radius of the sphere = 4.8 m

Now , Volume of a Sphere = ( 4/3 ) πr³

Substituting the values in the equation , we get

Volume of Sphere V = ( 4/3 ) π ( 4.8 )³

On simplifying the equation , we get

Volume of Sphere V = ( 4/3 ) π ( 110.592 )

On further simplification , we get

Volume of Sphere V = 147.456π m³

Hence , the volume of sphere is 147.456π m³

'

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Find two consecutive odd intefers whose product is 63

Answers

Two consecutive odd integers are known as back-to-back odd whole numbers; one right after the other.
For example; 1 and 3, 3 and 5, 5 and 7, and so on. Let’s work up to which two consecutive odd integers make a product of 63.
1 x 3 = 3; no
3 x 5 = 15; no
5 x 7 = 35; no
7 x 9 = 63; yes

From the work shown above, we can see that the two consecutive odd integers “7” and “9” make a product of 63.

I hope this helps!
Hello,

Let's assume 2n-1 the first integer
and 2n+1 the second.

(2n-1)*(2n+1)=64
(2n)²-1=64
4n²=64
n²=16
==>n=4 or n=-4
If n=-4 then 2n-1=2*(-4)-1=-9 and 2n+1=2*(-4)+1=-7
If n=4 then 2n-1=2*(4)-1=7 and 2n+1=2*(4)+1=9

(-9,-7) and (7,9) are the 2 solutions.




The shorter leg of a right triangle is 12 yards. if the hypotenuse is 20 yards, how long is the other leg?

Answers

I believe the other leg should be 16 yards long.
If this answer helped you and was correct you can name me "Brainliest." ty :) 

about how much air would fill a ball with a radius of 16cm

Answers

The volume of a sphere is given by [tex]V=( \frac{4}{3} ) \pi r^{3} [/tex]. Since the radius is 16cm we replace r with 16 to obtain: [tex]V=( \frac{4}{3} ) \pi (16)^{3}=( \frac{4}{3} )(4096) \pi = \frac{16384}{3} \pi [/tex] centimeters cubed.

That's the exact answer. If you divide you get 5,461.3 (with the 3 repeating)

Riverside College had 4,439 students enrolled last year. Of those students, 1,049 graduated and left. If there are 1,110 new students this year, how many students are enrolled at Riverside College this year?

Answers

There is a total of 4,500 students enrolled.

Work:

4,439 - 1,049 = 3,390

3,390 + 1,110 = 4,500

The number of students  that are enrolled at Riverside College this year is 4500.

What are the number of students enrolled?

Using this formula

Number of student=(Riverside college students-Number of student left)+Number of new students

Let plug in the formula

Number of student=(4,439 - 1,049)+ 1,110

Number of student = 3,390+ 1,110

Number of student= 4,500

Therefore the number of students  that are enrolled at Riverside College this year is 4500.

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Is it possible for a composite number to have more than one prime factorization? Yes. I'm I right @dirtydan667

Answers

Is it possible for a composite number to have more than one prime factorization?The Answer is Yes. Prime factors are factors of a composite number that are indivisible except by the number 1 or the number itself. it is possible especially for very large numbers. 2&3. No, because as mentioned previously, the default prime factors of numbers are 1

(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4) simplify and answer in standard form

Answers

we have that
(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4)=14x2 - 3x3 + 9x4 +14 - 13x3 - 11x4
(14x2 - 16x3  +14 - 2x4)

then
-2x4-16x3+14x2+14=0--------------> this is the standard form

simplify dividing the entire expression by two
-x4-8x3+7x2+7=0

the answer is 
-x4-8x3+7x2+7=0

Two cylinders are similar. The volume of the larger cylinder is 343 ft³ and the volume of the smaller cylinder is 125 ​​ft³. The height of the smaller cylinder is 5 ft.

What is the height of the larger cylinder?

Please show the work

Answers

x = height of larger cylinder

The ratio of the heights can be cubed to get the ratio of the volumes

(x/5)^3 = 343/125

(x^3)/(5^3) = 343/125

(x^3)/125 = 343/125

x^3 = 343

x = (343)^(1/3)

x = 7

The height of the larger cylinder is 7 feet

Can someone help and explain this to me please...?

Answers

Answer:

[j, k] →[9, 5]

[g, h] → [4, 2]

[x, y] → [−4, −4]

Step-by-step explanation:

{4j - 2k = 26

{5j - 2k = 35

[5j - 2k = 35]

{4j - 2k = 26

{4j + 1⅗k = 28 >> NEW EQUATION

________________

−⅖k = −2

_____ ___

−⅖

k = 5 [Plug this back into both equations above to get the j-value of 9]; 9 = j

__________________________________________________________

{6g + 8h = 40

{−6g + 2h = −20

________________

10h = 20

h = 2 [Plug this back into both equations above to get the g-value of 4]; 4 = g

__________________________________________________________

{4x - 9y = 20

{2x - 6y = 16

−½[4x - 9y = 20]

{2x + 4½y = 10 >> NEW EQUATION

{2x - 6y = 16

_________________

−1½y = 6

______ __

−1½ −1½

y = −4 [Plug this back into both equations above to get the x-value of −4]; −4 = x

** Tip: Keep using the Elimination Method until you really have to use the Substitution Method. Use the Substitution Method only when one variable is given to you in one of or both equations, meaning that at least one of the equations has to be in Slope-Intercept Form [y = mx + b].

I am joyous to assist you anytime.

Which box and whisker plot shows the scores of ten students on a mathematics exam? 89, 78, 93, 90, 75, 81, 91, 80, 89, 79.

Answers

first you got to put them too--- least to greater --- then star with lowest ### the that will be Q1=75   Q2=81    Q3=91   the last one will be highest ### for Q4 93

this is my educated guess not for sure so don`t get mad ..........

(6) Check my answer?
Im putting never because a pentagon has 5 sides, 2 of which are not parallel, while a parallelogram is a 4 sided figure with 2 sets of parallel sides

Are a parallelogram and a pentagon always, sometimes, or never similar?
A) always
B) sometimes
C) never****

Answers

Agreed. The figures need to have the same number of sides to have the same shape. Similar figures have the same shape but different sizes. 

(1.3t3 + 0.4t2 – 24t) – (0.6t2 + 8 – 18t)
What is the additive inverse of the polynomial being subtracted?

Answers

To solve this problem you must apply the proccedure shown below:
 1. You have that the the polynomial being subtracted is 0.6t²+8-18t, therefore,  to find the additive inverse of the polynomial, you must multiply it by -1, as following:
 (0.6t²+8-18t)
 (-1)(0.6t²+8-18t)
 2. Therefore, you obtain the following result:
 -0.6t²-8+18t
 Then, tas you can see, the  answer is -0.6t²-8+18t.

Answer:

The first one is B then the second is B and the third question is D

Step-by-step explanation:

Multiply (7x – 6)(8x +3). A. 56x2 – 27x – 18 B. 12x2 – 50x + 8 C. 56x2 – 18 D. 56x2 – 69x + 18

Answers

You can use the FOIL method to solve: multiply FIRST, multiply OUTSIDE, multiply INSIDE, multiply LAST to help remember to multiply all terms.

=(7x – 6)(8x + 3)
multiply first term by first term, multiply outside by outside, inside by inside, last by last
=(7x*8x) + (7x*3) + (-6*8x) + (-6*3)
multiply terms
=56x^2 + 21x - 48x - 18
combine like terms
=56x^2 - 27x - 18

ANSWER: A) 56x^2 - 27x - 18

Hope this helps! :)

Use the formula A=bh , where A is the area, b is the base length, and h is the height of the parallelogram, to solve this problem. A sign on the side of a van is in the shape of a parallelogram. The area of the sign is 330 square inches. The base of the sign is 22 inches long. What is the height of the sign?

Enter your answer in the box.

--------
[ ]
--------

Answers

The height of this specific sign is 15 inches. 
i think the height is 15/or 16

A width of a rectangular painting is 3 in. More than twice the height. A frame that is 2.5 in. Wide goes around the painting. Write an expression for the combined area of the painting and frame

Answers

The frame will go around all 4 sides of the painting.  That means that the length of each side of the painting will increase by 2.5 inches.  The height, h, will now be h + 5 (2.5  inches on the top and the bottom).  The width, 2h + 3, will now be 2h + 3 + 5 (again, 2.5 inches on the top and the bottom).  The area would be given by 
(h + 5)(2h + 3 + 5) = (h + 5)(2h + 8)
Multiplying this, we have:
h*2hh*8 + 5*2h + 5*8 = 2h² + 8h + 10h + 40 = 2h² + 18h² + 40

The cost of a bagel increases from $0.80 to $1.25. What is the percent of increase?

Answers

1.25-0.8=0.45
0.45/0.8=0.5625
0.5625*100=56.25 percent increase

The percent increase is 56.25%

Work is provided in the image attached.

Mr. Franco’s seventh grade science class recorded the daily high temperatures during the month of November. The temperatures are shown in the table What is the lower quartile of the daily high temperatures? a. 26 c. 20 b. 25 d. 28

Answers

To find the lower quartile of the daily high temperatures, arrange the data in ascending order and identify the value that separates the lowest 25%, which is 25.

The lower quartile of the daily high temperatures in Mr. Franco's seventh-grade science class can be found by arranging the temperatures in ascending order and then determining the value that separates the lowest 25% of the data. In this case, the lower quartile is 25.

The perimeter of a rectangle is 136 ft. The ratio of its length to its width is 9 : 8. What are the dimensions of the rectangle? a. 48 ft by 20 ft b. 40 ft by 28 ft c. 36 ft by 32 ft d.44 ft by 24 ft

Answers

the answer is c. hope this helps.

Find the simplified form of the expression. Give your answer in scientific notation. (4 x 10^10)(9 x 10^5) 3.6 x 10^4 3.6 x 10^49 36 x 10^5 3.6 x 10^6 and please explain

Answers

it's simple arithmetic.  The Answer is 604661760000000000000000000000000000000000000000000000000000000000000000000000000000 and in scientific notation
60466176 x 10⁸³

BRAINLIESTTT ASAP!

The function f(x) = –x^2 + 60x – 116 models the monthly profit, in dollars, a shop makes for repairing windshields, where x is the number of windshields repaired, and f(x) is the amount of profit.

Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points)

Part B: Determine the x-intercepts. What do these values mean in the context of the problem? (5 points)

Answers

f(x)=y=-x^2+60x-116
y+116=-x^2+60x
y+116=-1(x^2-60x)
y+116-900=-1(x^2-60x+900)
y-784=-1(x-30)^2
y=-1(x-30)^2+784
we know that 
h=-b/2a
h=-60/(-2*1)
h=30
k=-30^2+60(30)-116
k=784

the vertex is at (30,784) this means that the point of symmetry of the parabola is at (30,784), in our context it means that the maximum number of windshields repaired is 30 and the minimum profit will be $784

Part B
x-intercept
to determine the x-intercept we let f(x)=0
thus
0=-2x^2+60x-116
solving for x we get:
x=2 and x=58
this means that when the shop repairs 2 windshields or 58 windshields, they will not make any profits


The length of a rectangle is 4 m longer than its width. if the perimeter of the rectangle is 36 m , find its area.

Answers

Answer:   The area of the rectangle is:  " 77 m² " .

__________________________________________________________
Note:  The formula for the area, "A" of a rectangle:

 →  A  =  L  *  w   ;

                 in which:  
     A = "area (of rectangle)" ; [in units of "m² " ; that is:  "square meters" ] ; 
                                     
     L = length = "(4 + w)" {in units of "meters (m)" } ;  
             
     w = width  {in units of "meters (m)" } ; 
_______________________________________________________

So;  " A = L * w " ;  

Substitute the known expression for the "length, L" ;  & rewrite the formula for the given area of OUR area for the rectangle in OUR GIVEN PROBLEM:

              →  A = (4 + w) * w '' ;
______________________________________________________

Note the formula for the perimeter, "P" ; 

 →  P = 2L + 2w  ; 

↔   2L + 2w = P 

 →  2L + 2w  = 36 m ;
_____________________________________________________
We want to find the "area" , "A" :
_____________________________________________________
Using the formula for the "perimeter, "P" (of the rectangle) ; & given that the perimeter is:  "36" (meters) ;  

 →  2L + 2w  = 36 ;

 →  Let us plug in the values for "Length (L)" & "width (w)" ; 

 →  2(w + 4)  + 2w = 36  ; 

So;   (2*w) + (2*4) + 2w = 36 ;  Solve for "w" ;

    →  2w + 8 + 2w = 36 ; 

    → Combine the "like terms" :

         + 2w + 2w = 4w ; 

   →  And rewrite: 

         4w + 8 = 36 ; 

Now, subtract "8" from EACH SIDE of the equation:

         4w + 8 − 8 = 36 − 8 ; 

to get: 

         4w = 28 ; 

Now, divide EACH SIDE of the equation by "4" ; 
      to isolate "w" on EACH SIDE of the equation ; & to solve for "w" ; 

         4w / 4 = 28 / 4  ; 

           → w = 7 ;   → The "width" of the rectangle is:  " m " .

Now, we can find the "length" of the rectangle:

The length, "L" , of the rectangle = 4 + w = 4 + 7 = 11 .
      
             L = 11 .  →  The "length" of the rectangle is:  " 11 m " .
___________________________________________________
 
Now, we can find the area, "A", of the rectangle.

 A = L * w  =  11 m * 7 m  =  " 77 m² " .

  →  The area of the rectangle is:  " 77 m² " .
__________________________________________________

To check our answer:
__________________________________________________
 
→  P = 2L + 2w "  ; 

Given that "P = 36 m" ; 

Plug in "36 m" (for "P") ; into the equation ;

and plug in our calculated values for
                        "length, L" (which is "11 m") ; & "width, w" (which is "7 m") ; 

to see if the equation holds true ; that is, to see if both sides of the equation are equal ;
_______________________________________________________  

 →  36 m = ?  2L + 2w ?? ;

 →  36 m = ?  2(11 m) + 2(7 m) ?? ; 

 →  36 m = ?  22 m + 14 m ?? ; 

 →  36 m = ?  36 m ?  Yes! 
__________________________________________________

The process involves setting up an equation using the given perimeter and the relation between length and width, solving for width, then calculating length and subsequently the rectangle's area, resulting in 77 square meters.

The question involves finding the area of a rectangle given the relationship between its length and width, and its perimeter. First, let's represent the width as w meters. Therefore, the length will be w + 4 meters, since the length is 4 meters longer than the width. The perimeter of a rectangle is calculated as 2(length + width). Given the perimeter is 36 meters, we can set up the equation: 2(w + w + 4) = 36.



Simplifying this equation gives 2(2w + 4) = 36, and further simplification results in 4w + 8 = 36. Solving for w, we subtract 8 from both sides getting 4w = 28, and divide by 4 to find w = 7 meters. The length, being 4 meters longer, is 11 meters.



Finally, to find the area of the rectangle, we multiply the length by the width: Area = length × width = 11m × 7m = 77 square meters. Therefore, the area of the rectangle is 77 square meters.

A limousine service charges $35 per day and an additional $0.75 per mile. Which of the following represents the number of dollars the limousine service will receive after a 12 mile ride? (A) (35 x 0.75) + 12 (B) 12 x (0.75 x 35) (C) 35 + (0.75 + 12) (D) 35 + (12 x 0.75) (E) (35 x 12) + 0.75

Answers

C because it lets you know that if you going one place 35$ then 12 x 0.75 will give you your total

Mary used Delicious (d) and Golden Delicious (g) apples to make homemade applesauce. Delicious apples are $0.75 each and Golden Delicious apples are $1.25 each. Mary spent $21.00 on 22 apples. What should the second equation be?

d + g = 21

g – d = 21

0.75d + 1.25g = 21

0.75d – 1.25g = 21

Answers

I think the answer would be 0.75d + 1.2g = 21 good luck!

The second equation, representing the total cost of both apples as 0.75d + 1.25g = 21.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that Mary used Delicious (d) and Golden Delicious (g) apples to make homemade applesauce. Delicious apples are $0.75 each and Golden Delicious apples are $1.25 each. Mary spent $21.00 on 22 apples.

Assume that the number of Delicious apples are (d) and Golden Delicious are (g) apples.

We can write the second equation as -

0.75d + 1.25g = 21

and the first equation as -

d + g = 22

Therefore, the second equation, representing the total cost of both apples as 0.75d + 1.25g = 21.

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Which of the following shows the graph of a line with a slope of 6/5 and a y intercept of -3?

Answers

Answer:

The correct option is 1.

Step-by-step explanation:

It is given that the slope of the line is 6/5 and y intercept is -3. It means the line must be passes through the point (0,-3).

The slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

Substitute m=6/5 and b=-3 in the above equation to find the equation of line.

[tex]y=\frac{6}{5}x+(-3)[/tex]

So, the equation of line is [tex]y=\frac{6}{5}x+(-3)[/tex].

Substitute y=0 in the above equation to find the x-intercept of the line.

[tex]0=\frac{6}{5}x-3[/tex]

Add 3 on both the sides.

[tex]0+3=\frac{6}{5}x-3+3[/tex]

[tex]3=\frac{6}{5}x[/tex]

Multiply both sides by 5.

[tex]15=6x[/tex]

Divide both sides by 6.

[tex]\frac{15}{6}=x[/tex]

[tex]2.5=x[/tex]

The x-intercept of the line is 2.5. It means the line must be passes through the point (2.5,0).

Since only in graph 1, the line passes through the points (0,-3) and (2.5,0), therefore the graph 1 represents the required line and option 1 is correct.

Find sin q if q is an angle in standard position and the point with coordinates (4, 3) lies on the terminal side of the angle.

I don't understand what I'm suppose to be doing here.

Answers

Let’s say we have a starting point (0,0), the point (4,3) are distance apart at 90 degrees, hence the hypotenuse to those two distance will be 5. Therefore sin q = 4/5.

What are the roots of x2 + 8x – 48 = 0?
show me the work

Answers

x^2 + 8x – 48 = 0
That is a quadratic equation where
a = 1
b = 8
c = -48
We can solve it by using the quadratic formula:
x = [-b +-sq root (b^2 - 4ac)] / 2a
x = [-8 +- sq root (64 -4*1*-48)] / 2*1
x = [-8 +- sq root (256)] / 2
x = [-8 +-16] / 2
x1 = 8 / 2 = 4
x2 = -24 / 2 = -12





Other Questions
Write a story problem to represent 5 divided by 1/4 ALGEBRAIC PROOF PLEASE HELP IT IS MY LAST QUESTION I AM STUMPEDUse the following problem to answer the question below:Given: 3(x 4) = 33Prove: x = 153(x 4) = 33 Given3x 12 = 33 A3x 12 + 12 = 33 + 12 B3x + 0 = 45 C3x = 45 Dx = 15 Division Property of EqualityWhat is the reason for D? Rachel opened a savings account 6 years ago. The account earns 8% interest, compounded monthly. If the current balance is $1,000.00, how much did she deposit initially? Which of the following is not a power of the president? Describe and give an example of how it possible for two igneous rocks to have the same mineral composition but be different rocks. 2/5 of the children in a club are girls,if there are 24 boys,how many children are there altogether?how many more boys than girls are there There is an old riddle about a frog at the bottom of a 20-foot well. if he climbs up 3 feet each day and slips back 2 feet each night, how many days will it take him to reach the 20-foot mark and climb out of the well? Which of the following in-text citations is written correctly for a periodical citation? The author of the source is Audre Syng, the title of the article is "Little Lord Fauntleroy and the Representation of Poverty in Children's Books," and the paper paraphrases a passage on page 18. Describe how you would make 1.0 l of a supersaturated solution of cdi2 What is the name of the particular feeling that Romantic landscapes were meant to invoke in viewers? True or false: fresco is a monochrome painting done mainly in neutral grays to simulate sculpture. A rat raised in an enriched versus a deprived environment typically develops _____ .a. a larger bodyb. a thicker cerebral cortexc. predictable behavioral repertoiresd. more complicated behavior patterns How did pennsylvania settlers undermine william penn's vision for his proprietary colony? Behavioral genetics is a(n) __________. field devoted to uncovering the contributions of nature and nurture to human diversity ambitious international research program aimed at deciphering genomes biochemical process triggered by certain experiences that alter gene expression medical procedure that permits detection of developmental problems before birth The period in history when many people left their homes and farms to work in mills was called the Industrial Revolution. True or false What are some other sources of ethical values?a. laws and regulations, and codes of professional ethics.b. church doctrines and individual organizations' codes of conduct.c. neither of the above describe other sources of ethical values.d. both a and b describe other sources of ethical values? Name the complex mncl2(en)2. the oxidation number of manganese is +2. Refer to Explorations in Literature for a complete version of the narrative. Read this excerpt from "Goodbye to All That" by Joan Didion. Part of what I want to tell you is what it is like to be young in New York, how six months can become eight years with the deceptive ease of a film dissolve, for that is how those years appear to me now, in a long sequence of sentimental dissolves and old-fashioned trick shotsthe Seagram Building fountains dissolve into snowflakes, I enter a revolving door at twenty and come out a good deal older, and on a different street. How does Joan Didion's extended metaphor of comparing her time in New York to a movie affect the mood of this excerpt? It creates an exuberant mood as Didion suggests that her life in New York was as exciting as the life of a character in a movie. It creates a regretful mood as Didion indicates that the mistakes she made in New York were like those made by tragic film heroines. It creates a dreamy mood as Didion conveys to readers how, on looking back at her time in New York, her experiences blur together. It creates an emotional mood as Didion highlights times of great joy and times of deep depression she experienced in New York. How might have the invention of the telegraph prevented the War of 1812 Nicole is considering opening a Roth Individual Retirement Account. If she invests into the Roth IRA, determine the amount in the account if she makes annual payments of $4,291 into an account paying 2.23% interest compounded annually for 30 years.