Make a dot plot for each set of data. Compare and contrast the shape, spread, and center of the data.

Set A = {4, 5, 6, 3, 3, 2, 4, 5, 8, 2, 5, 13}

Set B = {5, 6, 4, 2, 8, 4, 5, 6, 5, 2, 8, 3, 7, 3}

Expression 2(x+1) represents the sum of bob and Jacks age.

An expression is combination of variables, numbers and operators.

Given,

Bob is x years old,

Jack is two years older than bob=x+2

we need to find the sum of jacks age and bobs age

x plus x plus two

x+x+2

Two times of x plus two

2x+2

Take two as common, two times of x plus one

2(x+1)

Hence expression 2(x+1) represents the sum of bob and Jacks age.

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Answer:

x = a number

7 + 2x = 21

Subtract 7 from both sides

2x = 14

Divide both sides by 2

x = 7

7 is the only number that makes this sentence true.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Do the steps in reverse

Subtract 7 from 21

14

Then divide by 2

7

Hope this helps :)

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Answer:

$2.25

Step-by-step explanation:

Change

= $20 - total price of the items bought

Total price of bottled water

= 4($2.75)

= $11

Total price of fruit punch

= 5($1.35)

= $6.75

Change

= $20 -($11 +$6.75)

= $20 -$17.75

= $2.25

Answer:

Step-by-step explanation:

[tex]\dfrac{1}{256^{-4}}=256^4[/tex]

because for a real and n integer

[tex]a^{-n}=\dfrac{1}{a^n}[/tex]

take n = -4, so -n = 4,  and a =256

thanks

Answer:

Rs. 2,50,000

Step-by-step explanation:

When a partnership distributes inventory items (hot asset) to its partners, the basis of the inventory items is used to record the transaction. Only when partnerships distribute assets other than hot assets will the fair market value of the assets be used to record the transaction.

The logic is that inventory items are valued at lower of cost or market value. This means that inventory items are already valued at FMV or cost, whichever is less. If the partnership recorded the transaction using Rs.1,75,000, then it would have to record a loss, and distributions cannot generate losses to a partnership. The only way to record the inventory items at Rs.1,75,000 is that previously the partnership writes down inventory.

Combine like terms

3q^2 − 11q + 8

Given:

Initial population = 45,000

Decreasing rate = 2%

Time = 5 year

To find:

The population after a period of 5 years.

Solution:

Formula used:

[tex]f(t)=ae^{rt}[/tex]

where, a is initial population, r is rate and t is time.

[tex]r=\dfrac{2}{100}=0.02[/tex]

Decreasing rate represented by -0.02.

Substitute a=45000, r=-0.02 and t=5 in the above formula.

[tex]f(5)=45000e^{-0.02(5)}[/tex]

[tex]f(5)=45000e^{-0.1}[/tex]

[tex]f(5)=45000(0.904837418)[/tex]

[tex]f(5)=40717.68381 [/tex]

Approximate the value to the previous integer.

[tex]f(5)\approx 40717 [/tex]

Therefore, the population after 5 years is 40717.

Answer:

40,718

Step-by-step ex

The population of a city is currently 45,000 and is declining at a rate of 2% each year. Estimate the population after a period of 5 years. Use the formula ƒ(t) = aert. planation:

Answer:

$45.34

hope this helps

Answer:

$20.79

Step-by-step explanation:

0.82(6) = 4.92

15.87 + 4.92 = 20.79

Step-by-step explanation:

Given the equation;

3(x-2) = 4

A sequence of steps for solving the equation is as shown;

Step 1: Open the parenthesis by applying distributive law to distribute 3 over x and 2 as shown;

3(x-2) = 4

3(x)- 3(2) = 4

3x - 6 = 4

Step 2: Add 6 to both sides of the equation (Addition property)

3x-6+6 = 4+6

3x = 10

Step 3: Division property of equality. Divide both sides by 3;

3x = 10

3x/3 = 10/3

x = 10/3

Answer:

I believe it may be C or D.

C and D are the exact same, but I don't think it is B, seeing as it is an absolute value function. If I'm wrong, please forgive me.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

surface of the semicircle is

1/2*π*r^2=1/2*π*(10/2)^2=1/2*π*5^2

=1/2*π*25=(25/2)*π=12,5*π=12.5*3.14=39.25 approximately 39 square units

surface of the right triangle is

(6*8)/2=48/2=24 square units

so the surface of the shaded area is

surface of the semicircle minus the surface of the right triangle.

39-24=15 square units

Answer: It's A. -7.

Step-by-step explanation: I've attached an Image of my work.

Answer:

A. -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define expression

[tex](\frac{7}{8} )(-16)(-7)(\frac{-1}{14} )[/tex]

Step 2: Evaluate

Answer:

391,248 dollars

Step-by-step explanation:

Answer:

the answer is  $39,128

Step-by-step explanation:

$1087 divided by 2 = 543.4

$543.4 worth of products is sold in 1 hour

$543.4 x 720 =  $39,128

i got the 720 for the hours from 30 day so there is 720 hours in 30 days a whole month (24 x 30 =720)

i hope this helps ;)

sorry if im wrong

Answer:

The LCM of 15, 30, and 105 is 210

Step-by-step explanation:

15, 30, 105

Solution: List the prime factors of each.

15: 3 * 5

30: 3 * 10

105: 3 * 5 * 7

Multiply each factor the greatest number of times it occurs in any of the numbers.

Answer:

That’s correct

Step-by-step explanation:

y < 4 does mean that y is less than 4. if it helps. Wherever the open side is, means that one is greater. I always look at it like an alligator eating the bigger number

Answer:

Because f(g(x)) = g(f(x)) = x, f and g are inverse functions.

Step-by-step explanation:

f(g(x)) = f([tex]\frac{1}{4}\sqrt{x}[/tex]) = [tex]16(\frac{1}{4}\sqrt{x} ) ^{2} = 16(\frac{1}{16}x)=x[/tex]

g(f(x)) = g [tex](16x^{2}) = \frac{1}{4}\sqrt{16x^{2} } = \frac{1}{4}(4x) = x[/tex]

Answer:

X

X

are

Step-by-step explanation:

Answer:

[tex]Area = 9j[/tex]

Step-by-step explanation:

Given

[tex]Base = 9\ units[/tex]

[tex]Height = j\ units[/tex]

Required

Determine the area

Area of parallelogram is calculated as thus:

[tex]Area = base * Height[/tex]

Substitute values for Base and Height

[tex]Area = 9 * j[/tex]

[tex]Area = 9j[/tex]

Hence, the area of the parallelogram whose base is 9 units and height is j units, is 9j

Answer:

the answer is c

reason why I c chose is because add up every thing and multiply to see how much the company would get

Answer:

answer is 21,115 c

Step-by-step explanation:

Answer:

64 oz= 4 lbs

5 gal= 20 qt

660 yds = 0.375 miles

¼ miles = 440 yds

24 oz = 3 cups

4 c = 32 oz

24 ft = 8yds

Step-by-step explanation:

Answer:

3.3939

rounded off = 3

33 goes in 112 3 times

Two needed formulas,:

To find the area of a parallelogram, use

A = bh.

To find the area of a semicircle, use

Area = (πr^2)/2.

The area of the parallelogram is 11 x 32 or 352.

The two semicircle have the same measure.

The radius of the semicircle is (1/2)(16) or 8.

Area = (π8^2)/2

Area = 64π ÷ 2

A = 32π

There are two semicircle.

So, the area of both semicircle combined is

2(32π) or 64π.

Area of figure = 64π + 352.

Area of figure = 553.0619298304

We now round to the nearest tenths to get

Area of the figure = 553.06.

Answer:

Infinity

Step-by-step explanation:

Let one point is x1, y1 (5, -3)

the other is x2, y2 (5,4)

then slope = (y1-y2)/(x1-x2)

=(-3-4)/(5-5)

=-7/0

=Infinity

So slop is infinite

Answer:

4.73205080757

Step-by-step explanation:

Answer:

3 +[tex]\sqrt{3}[/tex]= 4.73205

Answer:

24 :)

Step-by-step explanation:

12 divided by 3 = 4

24 divided by 3 = 8

36 divided by 3 = 12

4 + 8 = 12

12 + 12 = 24

Answer:

A

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

5 times 4 is 20 divided by 2 is 10 hope this helps

Answer:

It's definitely not parallel... I think it's neither...

Step-by-step explanation:

Tip: if it is parallel, the slope is the same. The formula for finding slope is y two minus y one divided by x two minus x one.

9514 1404 393

Answer:

  (9/10)/(2/5) = ratio of work times

  2 1/4 times as long

Step-by-step explanation:

Given:

  2/5 hours work in the morning

  9/10 hours work in the afternoon

Find:

  an equation for how many times as long was afternoon work compared to morning work

  the equation solution

Solution:

  a/m = r . . . . ratio of afternoon work to morning work

  (9/10)/(2/5) = r . . . equation

  (9/10)/(4/10) = r

  9/4 = r = 2 1/4 . . . solution

The builder worked 2 1/4 times as long in the afternoon as in the morning.

Answer: Hence Pair( x, y) = [ 105/2, 105/2]

Step-by-step explanation:

Given that;

Among all pairs of numbers with a sum of 105;

the pair whose product is maximum = ?

so let pairs of numbers with a sum of 105 be x and y respectively

x + y = 105

let y = 105 - x

now

product = xy =  x( 105 - x ) = 105x - x²

now

p(x) = 105x - x²

for maximum value of p

dp/dx =0

⇒ dp/dx = 105 - 2x = 0

2x = 105

x = 105/2

y + x = 105

y = 105 - x

y = 105 - 105/2 = 105/2

Hence Pair( x, y) = [ 105/2, 105/2]