A ​used-boat dealership buys a boat for ​$2900 and then sells it for ​$4500. What is the percent​ increase?(Round to the nearest whole number as​ needed.)

Answers

Answer 1

Answer:

55%

Step-by-step explanation:

We have to divide the new price by the original price

4500/2900 = ca. 1.5517

Take away 100% from this answer and we get 0.5517 over the original price

This is the same as 55.17% can be rounded to 55%

Answer 2
Final answer:

To find the percent increase in the boat's price, subtract the original price from the selling price, divide by the original price, then multiply by 100 and round to the nearest whole number. The calculation shows about a 55% increase from the original price of $2900 to the selling price of $4500.

Explanation:

To calculate the percent increase, you would subtract the original price of the boat from the selling price and then divide by the original price to get the fraction of the increase. Finally, you multiply this fraction by 100 to convert it to a percentage. Using the given numbers: The original price is $2900, and the selling price is $4500.

Subtract the original price from the selling price: $4500 - $2900 = $1600Divide the increase by the original price: $1600 / $2900 ≈ 0.5517241379Multiply by 100 to convert to a percentage: 0.5517241379 × 100 ≈ 55.17%

When you round this to the nearest whole number, you get a percent increase of 55%.

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Related Questions

Brian went shopping and spent $47 on jewelry. If he spent $67 total, what percentage did he spend on jewelry? Round your answer to the nearest percent.

Answers

Brian spent 70% of his money on jewelry.

Step-by-step explanation:

Given,

Amount spent on jewelry = $47

Total amount spent = $67

Percentage of jewelry = [tex]\frac{amount\ spent\ on\ jewelry}{total\amount\ spent}*100[/tex]

[tex]Percentage\ of\ jewelry=\frac{47}{67}*100\\\\ Percentage\ of\ jewelry=\frac{4700}{67}\\Percentage\ of\ jewelry= 70.14\%[/tex]

Rounding to nearest whole number.

Percentage of jewelry = 70%

Brian spent 70% of his money on jewelry.

Keywords: percentage, division

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2/5(10x+15)=26 solve for x

Answers

Answer:

x=5

Step-by-step explanation:

2/5(10x+15)=26

10x+15=26/(2/5)

10x+15=(26/1)(5/2)

10x+15=130/2

10x+15=65

10x=65-15

10x=50

x=50/10

x=5

Answer:

x=5

Step-by-step explanation:

John has $8 in his bank account when he gets a job. He begins making $80 a day. A student found that
the equation that represents this situation is y = 8x + 80.
What is wrong with the student's equation? Complete the explanation and correct the student's error.

Answers

Answer:

y = 8 + 80x

Step-by-step explanation:

Given,

The equation is, y = 8x + 80

It is the wrong equation. Because John has $8 in his bank when he gets a job. It means it is fixed. On the other hand, since he begins earning $80 per day. It becomes variable earnings for him. We know that variables (x, y, z) are multiplied by the variable number (If there is no value for variables). Therefore, the equation will be =

As $8 is fixed and $80 is a variable earnings,

y = 8 + 80x

Here, x represents the number of days John will work. If he works for 20 days, the value will be changed for the number of days he earns. The fixed amount will never be changed.

Need help with geometric sequences quick
30 points!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Order the integers from least to greatest 11 , 0, -8, 9, 3

Answers

Answer:

The answer is -8, 0, 3, 9, 11

Answer:

-8, 0, 3, 9, 11

Step-by-step explanation:

PLEASE HELP! I NEED TO GET THIS DONE SOON!


Given: Circle O, diameter, marked perpendicular, Chord BC= 10,
find x

Answers

Answer:6

Step-by-step explanation:

In a circle, a radius perpendicular to a chord bisects the chord. So BC = CA BC = 6 (given) x (or AC) = 6 Answer = 6. Tell me if I was right. Thanks.

Answer:

it's 6

Step-by-step explanation:

what is the relationship between angle 1 and angle 5​

Answers

Answer:

○ b Corresponding Angles

Step-by-step explanation:

These two angles are a mirror, so they correspond.

I am joyous to assist you anytime.

Final answer:

Angle 1 and angle 5 are alternate interior angles with the same measure.

Explanation:

Angle 1 and angle 5 are alternate interior angles formed by a transversal line intersecting two parallel lines. Alternate interior angles are equal in measure, which means that angle 1 and angle 5 have the same measure. This relationship holds true regardless of the specific measurements of angle 1 and angle 5.

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(x2 - 4x + 3) + (3x2 – 3x - 5)
What’s the difference in standard form?

Answers

Answer:

the different is 96 * 56

Step-by-step explanation:

for example

4555/69   ///////54

Answer: (x-2)•(4x+1)

Step-by-step explanation:

you run 10 miles in 1 hour and 15 mintues keeping the same pance how long would it take to run 15miles

Answers

Answer:

1 hour and 30 minutes

Step-by-step explanation:

because it took an hour for 10 mile so add another five miles and it would take 30 minutes

Answer:

it would take you 1 hour and 30 mins

Step-by-step explanation:

it would be that because 1 hour is 60 mins and it takes you 60 mins to run 1 mile add half a mil and then it would be 1 hr 30

4. What is the largest number of identical cubes whose volumes are whole numbers (1,2,3,...) that would fit in a cube
whose volume is 1080 cm3? Show all your work.

Answers

Answer:

The largest number of identical cubes whose volumes are whole numbers  that would fit in a cube of volume 1080 [tex]cm^{3}[/tex] is 10.

Step-by-step explanation:

Given that volume of larger cube is 1080[tex]cm^{3}[/tex]

To find number of smaller cube with volume as whole numbers can fit the larger cube:

Imagine Rubik's cube of 3x3 as larger volume and one piece of Rubik's cube is smaller cube. On one edge, three smaller cube with volume

In the same way,

Assuming one edge has 'x' number of cube with volume as whole numbers

Since, It is cube. Number of cube in other edges will be 'x' too

For smaller cube,

Take one side of smaller cube as x

Therefore, One side of larger cube will be nx

For cube,  length = height = breath =nx

The volume of larger cube : [tex](nx)^{3} =1080[/tex]

nx=10.2598cm

we need to find the "largest" number of cube( i.e n )

Therefore, Side x will be smallest and n will be largest.

For smallest value of x,

It is also said that " volumes are whole numbers "

smallest whole number is 1

Thus,

nx=10.2598cm

n=10.2598

n is also whole number so that n=10

The largest number of identical cubes whose volumes are whole numbers  that would fit in a cube of volume 1080 [tex]cm^{3}[/tex] is 10.

The planet Mars has two moons – Phobos and Deimos. Phobos has a mass of 10.8 × 1015 kilograms, and Deimos has a mass of 2.0 × 1015 kilograms. How much greater is the mass of Phobos than the mass of Deimos?
A) 8.8 × 1015 kilograms
B) 8.8 × 1016 kilograms
C) 9.2 × 1014 kilograms
Eliminate
D) 9.2 × 1015 kilograms

Answers

A) 8.8 × 10^15 kilograms is the right answer

Step-by-step explanation:

Given

Mass of Phobos = [tex]10.8 * 10^{15}\ kg[/tex]

Mass of Deimos = [tex]2.0 * 10^{15}\ kg[/tex]

In order to find how greater is the mass of Phobos from Deimos, the smaller mass will be subtracted from the larger mass

So,

[tex]= 10.8*10^{15} - (2.0*10^{15})[/tex]

As the exponents are same, the numbers can be subtracted directly

[tex]=(10.8-2.0) * 10^{15}\\= 8.8*10^{15}\ kg[/tex]

Hence,

A) 8.8 × 10^15 kilograms is the right answer

Keywords: Exponents, Addition

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Round 67,492,384 to the nearest million

Answers

The next higher million is 68 million.

The next lower million is 67 million.

67,492,384 is closer to 67 million than to 68 million.

So the nearest million is 67,000,000 .

To round 67,492,384 to the nearest million, round the millions place up by 1 because the digit to its right is 7.

To round 67,492,384 to the nearest million, we need to consider the digits in the millions place and the digit to its right. In this case, the digit in the millions place is 6, and the digit to its right is 7. Since 7 is greater than or equal to 5, we round the millions place up by 1. Therefore, 67,492,384 rounded to the nearest million is 68,000,000.

2.5 \dfrac{\text{g}}{\text{cm}^3}2.5 cm 3 g ​ 2, point, 5, start fraction, start text, g, end text, divided by, start text, c, m, end text, cubed, end fraction.

Answers

Answer:

bojdsvj

Step-by-step explanation:dvsDV

I sorry lol i need points :/

Is (-3,2)(−3,2) a solution of -4x -10y < -9−4x−10y

Answers

Answer:

No

Step-by-step explanation:

-4(-3)-10(2)=-8

-9-4(-3)-10(2)=-17

-8>-17

Amanda wants to know if the teenagers in her town like a new Friday night bowling event.​

Answers

Answer:

C

Step-by-step explanation:

Answer choice A and B are biased towards No answers because they point out flaws with the event. Choice D is not biased because it doesn't discuss good or bad aspects of the event.

As per the question the teenagers in Amanda's town like to watch the bowling event every new Friday night.

This can be known by sentence C that states that you like the new Friday night bowling event with free snacks and lives music. As this response is most likely to trigger a yes.

Hence the option C is correct.

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The inequality of the graph

Answers

Answer:

[tex]\displaystyle y > 4x - 2[/tex]

Step-by-step explanation:

Starting from the y-intercept of [tex]\displaystyle [0, -2],[/tex]you do [tex]\displaystyle \frac{rise}{run}[/tex]by either moving four blocks south over one block west or four blocks north over one block east [west and south are negatives]. Next, we have to determine the types of inequality symbols that are suitable for this graph, which will be less than and greater than since this is a dashed line graph. We then use the zero-interval test [test point (0, 0)] to ensure whether we shade the opposite portion [portion that does not contain the origin] or the portion that DOES contain the origin. At this step, we must verify the inequalities as false or true:

Greater than

[tex]\displaystyle 0 > 4[0] - 2 → 0 > -2[/tex]☑

Less than

[tex]\displaystyle 0 < 4[0] - 2 → 0 ≮ -2[/tex]

This graph is shaded in the portion of the origin, so you would choose the greater than inequality symbol to get this inequality:

[tex]\displaystyle y > 4x - 2[/tex]

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what is the square root of 25/64

Answers

The square root of 25/64=5/8

The value of square root of 25/64 will be;

⇒ 5/8

What is square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

The number is,

⇒ square root of 25/64

⇒ √(25 / 64)

Now,

Since, The number is,

⇒ √25/64

⇒ √ (5×5 / 8×8)

⇒ 5 / 8

Thus, The value of √ 25/64 = 5/8

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Question 5
Which set of coordinates represents a function?
(x, y)
(-2, 4)
(-1, 1)
(0,0)
(-1,-1)
(-2,-4)
(x, y)
(0,5)
(1, 10)
(2, 15)
(3, 20)
(4, 25)
(x, y)
(0,0)
(3, 3)
(3,-3)
(5,5)
(5, -5)
(x, y)
(1, 1)
(1,2)
(1, 3)
(1,4)
(1,5)

Answers

Answer:

Im guessing every time  (x,y) comes, it starts a new set

Step-by-step explanation:

In that case,

(x, y)

(0,5)

(1, 10)

(2, 15)

(3, 20)

(4, 25)

is the correct set

a buyer spend $164 for two loads of mulch at $22.50 per load $35 worth of flowers and 42 landscaping blocks. fine the cost per block

Answers

Answer:

The cost per block was about 45$

Step-by-step explanation:

I think so, but dont believe it... I may be wrong. Please mark me brainliest

Final answer:

The buyer spent $2 per landscaping block.

Explanation:

Firstly, we need to find out how much money was spent on the landscaping blocks. Given that the buyer spent $164 for two loads of mulch at $22.50 per load and $35 worth of flowers, subtract the total cost of the mulch and flowers from the total amount spent. This gives us:

($22.50 x 2) + $35 =$80 spent on mulch and flowers. Therefore, $164 - $80 = $84 spent on landscaping blocks.

Finally, find the cost per block, by dividing the total amount spent on blocks by the number of blocks. So, $84 / 42 blocks = $2 per block.

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PLEASE PLEASE PLEASE ANSWER!!

Sarah wants to make a quilt that is 6 feet wide and 8 feet long. She is patching together 4- inch sided squares of fabric to make the quilt. How many patches of fabric will Sarah need?

A.) 120 patches
B.) 216 patches
C.) 432 patches
D.) 1,728 patches

Answers

Answer:

The answer is D brother

Step-by-step explanation:

First, convert the 6 by 8 into inches: 96 by 72 which equals 6912. Now take 6912 and divide it by 4 (for the individual squars) and you get: 1728

A = L x W

A= 8 x 6

A= 96 x 72

96 x 72 = 6912

6912 / 4" = 1728

If your teachers mean like mine, they make you write it out like this:)

Hope that clears it up:)

By taking the quotient between the area of the quilt and the area of a single patch, we will see that she needs 432 patches.

How many patches does she need?

To get this, we need to find the quotient between the surface area of the quilt and the area of a patch.

The quilt is 6ft by 8ft, then the area is:

A = 6ft*8ft = 48ft^2

Remember that:

1ft = 12 in

1ft^2 = (12 in)^2 = 144 in^2

Then the area in square inches is:

A = 48ft^2 = 48*(144 in^2) = 6,912 in^2

Now, the patches are squares of sidelength of 4 inches, then the area of each patch is:

a = (4 in)^2 = 16 in^2

The quotient between the areas gives:

A/a = (6,912 in^2)/(16 in^2) =432

This means that Sarah needs 432 patches, so the correct option is C.

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ABCD is a trapezoid with mid-segment (E f). If Ad=5x-11, E f=3x+7, Bc=2x+7, how many units in length is (E f) i need equation, algebra procedures, value of x, and length of (E f)

Answers

Answer:

x = 18

Step-by-step explanation:

The length of the midsection is the sum of the two bases divided by 2. Remember that the bases of a trapezoid are the two parallel sides. So that means:

((5x - 11) + (2x + 7)) /2 = 3x + 7

Simplify ((5x - 11) + (2x + 7)) /2:

(5x - 11) + (2x + 7) /2 = (5x + 2x - 11 + 7) /2 = (7x - 4) /2

Therefore:

(7x - 4) /2 = 3x + 7

Now solve this simultaneous equation:

7x - 4 = 6x + 14

7x = 6x + 18

x = 18

Write the equation in function form
6y - 4x = 24

Answers

Answer:

f(x) = (2/3)x + 4

Step-by-step explanation:

An equation in function is found by isolating y, and changing "y" to "f(x)".

Isolate y by moving everything else to the other side

What is done to one side must be done to the other

6y - 4x = 24

6y - 4x + 4x = 24 + 4x          (add 4x to both sides. -4x +4x cancels out)

6y = 24 + 4x

6y/6 = 24/6 + 4x/6             (divide both sides by 6)

y = 4 + (2/3)x          (simplify)

y = (2/3)x + 4        (rearrange to a familiar format "y=mx+b")  

f(x) = (2/3)x + 4        (replace y with f(x))

An element with mass 820 grams decays by 26.8% per minute. How much of the element is remaining after 18 minutes, to the nearest 10th of a gram?

Answers

Answer:

3.0 grams of the element are left after 18 minutes

Step-by-step explanation:

Recall that an exponential decay that can be studied with the following formula for the amount of material (A) as a function of time (t):

[tex]A(t)=A_0(1-r)^t[/tex]

where:

[tex]A_0[/tex] is the starting amount of the substance (in our case 820 grams)

r is the rate of decay (which in our case given as 26.8% can be written in decimal form as 0.268

and t is the time in minutes (in our case t = 18 minutes)

Then we have:

[tex]A(t)=A_0(1-r)^t\\A(18)=820*(1-0.268)^18\\A(18)=820*(0.732)^18\\\\A(18)=2.985\,grams[/tex]

which can be rounded to 3.0 grams

Answer: 3.0

Step-by-step explanation:

a=820

r= rate= 26.8%=0.268

b=1-r=1-0.268=0.732

y=820(0.732)^18

y=2.985474

y=3

Danielle walked from her house to several locations in her town. The graph represents her distance from home after x hours.


a.How far from home was Danielle after 1/2 hour?

b.What was Danielle's speed between 0 and 1 hour?

c.What was Danielle's speed between 1 and 2 hours?

d.What is the domain when the function is increasing?

e.What is the domain when the function is decreasing?

f.What is the domain when the function is constant?

Graph down below

PLEASE HELP ASAP!!!





















Answers

Answer:

The answer for A. Would be 1 mile B. 2mph C. 4mph and the rest Im still working on

Step-by-step explanation:

Answer:

a. How far from home was Danielle after 1/2 hour?

According to the graph, after half hour, Danielle was 1 mile far from home.

b. What was Danielle's speed between 0 and 1 hour?

To find the speed we have to apply the formula:

[tex]s=\frac{\Delta d}{\Delta t}[/tex]

From [tex]t=0[/tex] and [tex]t=1[/tex], Danielle went from [tex]d=0[/tex] to  [tex]d=2[/tex]. Replacing this values, we calculate the speed:

[tex]s=\frac{\Delta d}{\Delta t}\\s=\frac{2-0}{1-0}=2[/tex]

Therefore, the speed between 0 and 1 hour is 2 miles per hour.

c. What was Danielle's speed between 1 and 2 hours?

The Danielle's speed between 1 and 2 hours is zero ([tex]s=0[/tex]). Because, according to the graph, during this time, Danielle didn't move, and without move, there's no speed.

d. What is the domain when the function is increasing?

The domain when the function is increasing refers to the increasing x intervals.

From the graph, this increasing interval is from 0 to 1 hours only, it's the only period of time when Danielle was increasing her position.

e. What is the domain when the function is decreasing?

The parts of the decreasing domain are:

From 2 to 3 hours.From 3 and a half to 4 hours.

In the graph, you can see these decreasing intervals, which are characterized by a downwards direction of the line.

f. What is the domain when the function is constant?

The parts where the function is constant:

From 1 to 2 hours.From 3 to 3 and a half hours.

Constant intervals, means no increase, no decrease, just an horizontal line.

1. What are transition metals?

Answers

Answer:

Any of the set of metallic elements occupying a central block (Groups IVB–VIII, IB, and IIB, or 4–12) in the periodic table, e.g., iron, manganese, chromium, and copper. Chemically they show variable valence and a strong tendency to form coordination compounds, and many of their compounds are colored.

Step-by-step explanation:

Which ordered pair is a solution of the equation? X+7y=17

Answers

Answer:

Both (10,1) and (-4,3)

Step-by-step explanation:

No need but hope it helps:D

Answer:

C

Step-by-step explanation:

if it is on khan this answer is right

A collection of dimes and quarters is worth $10.45. There are 70 coins in all. Find how many of each there are

Answers

There are 47 dimes and 23 quarters.

Step-by-step explanation:

Total amount = $10.45 = 10.45*100 = 1045 cents

Total coins = 70

1 dime = 10 cents

1 quarter = 25 cents

Let,

Dimes = x

Quarters = y

According to given statement;

x+y=70   Eqn 1

10x+25y=1045   Eqn 2

Multiplying Eqn 1 by 10;

[tex]10(x+y=70)\\10x+10y=700\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](10x+25y)-(10x+10y)=1045-700\\10x+25y-10x-10y=345\\15y=345[/tex]

Dividing both sides by 15;

[tex]\frac{15y}{15}=\frac{345}{15}\\y=23[/tex]

Putting y=23 in Eqn 1

[tex]x+23=70\\x=70-23\\x=47[/tex]

There are 47 dimes and 23 quarters.

Keywords: linear equations, subtraction

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How many cubes with side lengths of 1/2 cm does it take to fill the prism? Height: 3/2 cm Width:1 cm length: 2 cm

Answers

Answer:

24

Step-by-step explanation:

If we want to cover the base of the prism having dimensions 2 cm × 1 cm with [tex]\frac{1}{2}[/tex] cm length of cube, then there will be (4 × 2) = 8 cubes that can occupy the base.

Width is 1 cm, so there can fit 2 cubes of length [tex]\frac{1}{2}[/tex] cm and length is 2 cm, where 4 cubes of length [tex]\frac{1}{2}[/tex] cm can fit. So, in total (4 × 2) = 8 cubes of [tex]\frac{1}{2}[/tex] cm length.

Now, height of the prism is [tex]\frac{3}{2}[/tex] cm where 3 cubes of length [tex]\frac{1}{2}[/tex] cm can fit.

Therefore, in total there can be (8 × 3) = 24 cubes of [tex]\frac{1}{2}[/tex] cm length. (Answer)

Answer:

24 cubes

Step-by-step explanation:

Please see the pictures below:  

(I hope this helped! :) )

Please help me and please use substitution

4x - y = 18
-8x – 2y = 4

Answers

[first, multiply the first equation by 2]
[8x - 2y = 36]
[now combine the like terms from each equation. For example, -8x + 8x = 0]
[-4y = 40]
[y = -10]
[x = 2]
(2, -10)
Point Form: (2,-10)
Equation Form: x = 2, y = -10


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2. What elevation is Point E on Map 1? *


10 feet

30 feet

50 feet

70 feet


3. What elevation is Point F on Map 1? *


10 feet

30 feet

50 feet

70 feet


Answers

Answer:

2. 30 ft

3. 50 ft.

Step-by-step explanation:

2. The contour map of a place is shown in the diagram.  

The point E is placed near to the 30 ft contour line.

Therefore, the elevation of the point E on the map is 30 ft. (Answer)

3. From the same contour map shown in the diagram, it is clear that,  

The point F is placed near to the 50 ft contour line.

Therefore, the elevation of the point F on the map is 50 ft. (Answer)

Other Questions
find the slope between the points (-4,5) and (-8,-5) Fats in foods a. add taste and contribute to "mouth feel" b. are digested and absorbed in the stomach c. carry water-soluble nutrients d. need to be eliminated to have a healthful diet In a department of biology, there are five professors and five students. If seven members of the department are randomly selected to form a committee for admission, and if the number of professors must be one more than students, how many combinations are possible? Triangle DEF (not shown) is similar to ABC shown, with angle B congruent to angle E and angle C congruent to angle F. The length of side DE is 6 cm. If the area of ABC is 5 square centimeters, what is the area of DEF ? What is the first step to take when solving this linear system of equations by the addition-subtraction method? 2x + 4y = 3 x + 3y =13 A)solve for y in terms of x B)solve for x in terms of y C)multiply the first equation by 2 D)multiply the second equation by 2 Which region did the United States obtain fromGreat Britain?CaliforniaOregon CountryTexas Movement of the chromosomes during anaphase would be most affected by a drug that prevents The energy change, H, associated with the following reaction is +81 kJ.NBr3(g) + 3 H2O(g) 3 HOBr(g) + NH3(g)What is the expected energy change for the reverse reaction of nine moles of HOBr and two moles of NH3?1.) -81 kJ2.) +162 kJ3.) +243 kJ4.) -365 kJ5.) -243 kJ6.) +365 kJ7.) +81 kJ8.) -162 kJ Find percent increase, round to the nearest percent From 24 teachers to 225 pencils Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?(A) 648(B) 1,800(C) 2,700(D) 10,800(E) 64,800 3. In order to enter the state fair, there isan admission cost. Each game is $3.Steven went to the state fair, played4 games and spent a total of $20 onadmission and games. Assume therelationship is linear. Find and interpretthe rate of change and the initial value. A beauty salon buys bottles of styling gel for 4.50 per bottle and marks up the price by 40% By how much does the price go up. Elige las palabras apropiadas: 1. El nacimiento / muerte es el final de la vida. 2. Juventud / Vejez es la etapa en la que nos jubilamos. 3. A la edad de sesenta y cinco aos, muchas personas comienzan / terminan de trabajar. 4. Julin y nuestro primo se casan / se divorcian maana. 5. Mam ama / odia a su hermana. 6. El abuelo muri, por eso la abuela est separada / viuda. 7. Cuando te gradas de la universidad, ests en la etapa de adolescencia / juventud. 8. Mi to nunca se cas; l es viudo / soltero. what is the simplified expression to 3.4m+2.4m Why do you think Joseph Stalin removed the other men from the original photograph At what pressure does ethane (CH) have a density of 37.2 g/L at 40.0 C? 8.8 Lab: Swapping variables Write a program whose input is two integers and whose output is the two integers swapped. Ex: If the input is 3 8, then the output is 8 3 Your program must define and call a function. SwapValues returns the two values in swapped order. void SwapValues(int& userVal1, int& userVal2) zybooks c++ g In a experiment on relaxation techniques, subject's brain signals were measured before and after the relaxation exercises with the following results: Person 1 2 3 4 5 Before 32 38 66 49 29 After 26 36 59 52 24 Assuming the population is normally distributed, is there sufficient evidence to suggest that the relaxation exercise slowed the brain waves? (Use =0.05) A garden is shaped like a square root with area 4w2. What is the length of each side of the garden What is the Anthropocene? a. the epoch during which anthropoids emerged from early primates b. the epoch between the Miocene and Pliocene, during which modern humans emerged c. a proposed new geological epoch during which humans have a profound role in changing the planets land surface and atmosphere d. the name given for the span of time from the Eocene to the present studied by physical anthropologists.