The stem and leaf plot below displays a set of data recorded in the North Pole.

Stem:
-3, -2, -1, 0, 1, 2, 3

Leaf:
5,2,2,1,0,7,7,7,5,3,2,0,-9,-6,-4,-1,-1,0,3,6,1,2,5

Which box plot closely resembling the data set within the stem and leaf plot, represents a data set with outliers?

Answer:

The mass of aluminum is 26.982 g/mol.

Step-by-step explanation:

The molar mass of an element is the mass in grams of 1 mole of the element. It is determined by taking the atomic weight of the element on the periodic table, and writing it as g/mol.

The mass of aluminum will depend on the quantity and context. Given quantities in chemical compounds range from 26.98g in AlPO4 to 80.94g in Al2S3 (for 1 mol). For specific quantities or other situations, the mass should be calculated proportionally.

The mass of aluminum can be determined using the specific heat and molecular absorption principles. A known quantity of aluminum in a compound like AlPO4 contains 1.000 mol or 26.98 g Al, while an Al2Cl6 molecule contains 1.994 mol or 53.74 g Al. When considering an Al2S3 molecule, it contains 3.00 mol or 80.94 g Al, which is the greatest mass of Al among the examples.

To calculate the mass for a different quantity of aluminum, you need to adjust these figures proportionally. For instance, if you have only half a mol of Al2S3, the mass would not be 80.94g, but half of that. Also, regarding mass of atoms, it is often represented in atomic mass units (amu) or in kilograms.

These examples give a clear idea of how to determine the mass of aluminum in different situations. The specific condition determines which calculation or table to use.

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Answer:

the desired equation is y = (1/6)x + 3/2.

Step-by-step explanation:

From the graph you can see immediately that the y-intercept is (0,3/2).

This is "b" in y = mx + b.

Focus on point (-3,1).  Substitute -3 for x in y = mx + 3/2 and then 1 for y:

1 = m(-3) + 3/2

Clear this result of fractions by mult. all three terms by 2:

2 = m(-6) + 3.  Solving for m, -6m = 2 - 3, or -6m = -1.  Then m = 1/6, and the

desired equation is y = (1/6)x + 3/2.

Answer:

B= -4.3 or -13/3

Answer:

C) y + 1 = -2/3(x - 4)

Step-by-step explanation:

The given line passes through the points A (4, -1) and B (-2, 3)

Let's find the slope now.

Slope (m) = (y2 - y1)/(x2 - x1)

= (3 - (-1)) / (-2 - 4)

= (3 + 1)/-6

= 4/-6

Slope (m) = -2/3

The equation of line y - y1 = m (x - x1)

y - (-1) = -2/3(x - 4)

y + 1 = -2/3(x - 4)

Answer:  C) y + 1 = -2/3(x - 4)

Thank you.

Answer:

answer is c)

Step-by-step explanation:

:)

Step-by-step explanation:

First , Subtract y from both sides:

−3x = −10 −y

Second, Divide both sides by −3

x = [tex]\frac{-10-y}{3}[/tex]

That's ur answer

Hope this helped u!!!

Good luck!!

Answer:

The correct answer is $81.28

Step-by-step explanation:

In order to find this, we simply treat the word of as a multiplication symbol.

0.8% of 125% of $8128

Now change the percentages to decimals

0.008 * 1.25 * 8128 = 81.28

Answer:

Step-by-step explanation:

To solve this kind of problem, we must remember that the word "of" means multiplication in math language, and all percentages numbers can be expressed as a fraction where the denominator is 100. Applying all this, we have

[tex]0.8\%\times 125\%\times 8128\\\frac{0.8}{100}\times \frac{125}{100} \times 8128\\ 0.008(1.25)(8128)=81.28[/tex]

Therefore, all those percentages of 8128 results in 81.28

Answer:

B. -6 and 4/9  

Answer:

A.   [tex] 2 \dfrac{2}{9} [/tex]

Step-by-step explanation:

[tex] -2\dfrac{1}{9} - \left(-4 \dfrac{1}{3} \right) = [/tex]

[tex] = -2\dfrac{1}{9} + 4 \dfrac{1}{3} [/tex]

[tex] = -\dfrac{19}{9} + \dfrac{13}{3} [/tex]

[tex] = -\dfrac{19}{9} + \dfrac{39}{9} [/tex]

[tex] = \dfrac{20}{9} [/tex]

[tex] = 2 \dfrac{2}{9} [/tex]

Answer:

NO

Step-by-step explanation:

Because that just means they started off with 0

The error in the table is that the "total" value for miles = 40 and gallons = 8 is incorrect.

The error in the given ratio table is that the values in the "total" row are not calculated correctly based on the provided "miles" and "gallon" values.

The values in the "total" row do not match the sum of the "miles" and "gallon" values for each corresponding column.

When miles = 0 and gallons = 0, the total should also be 0.

When miles = 10 and gallons = 2, the total should be 12.

When miles = 20 and gallons = 4, the total should be 24.

When miles = 30 and gallons = 6, the total should be 36.

When miles = 40 and gallons = 8, the total should be 48 (not 49).

When miles = 50 and gallons = 10, the total should be 60.

The error occurs in the row where miles = 40 and gallons = 8. The "total" value is listed as 49 instead of the correct value, which should be 48. So, the error in the table is that the "total" value for miles = 40 and gallons = 8 is incorrect.

for such more question on error

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Answer -7

Step-by-step explanation:

I would make a table and plug in values for "x" in the equation to find f(x) or y

x = 0

[tex]f(x)=2*(3)^x[/tex]

[tex]f(0)=2*(3)^0[/tex](there is a rule that when the exponent is 0, the result is 1)

[tex]f(0)=2*1[/tex]

f(0) = 2                   (0,2)

x = 1

[tex]f(x)=2*(3)^x[/tex]

[tex]f(1)=2*(3)^1[/tex]

[tex]f(1)=2*3[/tex]

f(1) = 6        (1,6)

You could do more points.

But these two points shows that the y-intercept (the y value when x = 0 or (0,y)) is 2, and that the graph is increasing.

Your answer is B

Graph B matches with the function.

A relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

The given function is  f(x) = 2 ([tex](3)^{x}[/tex])

So, option C is wrong

Again,

So, option D is also wrong.

Now,

So, option A is wrong

Hence option B is correct which also satisfies all the conditions mentioned above.

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Answer:

21.

Step-by-step explanation:

As 3/4 of the students play, we just have to multiply 3/4 by the total number of students.

3/4 * 28 = 84/4, or 21. 21 students play a team sport.

The absolute value of a number is its distance from zero on the number line, which is always positive or zero. If point D is -7, its absolute value would be 7, matching option D in the given choices.

The absolute value of a number is the distance of that number from zero on the number line, regardless of direction. Therefore, it is always a positive value or zero. In this case, whether point D is -6, 9, 7, or -7, the absolute value would be the positive counterpart of that number.

To find the absolute value of point D, we look for the option that falls in line with the definition of absolute value. For option A (-6), the absolute value is 6; for option B (9), the absolute value remains 9; for option C (7), the absolute value remains 7; and for option D (-7), the absolute value is 7.

Thus, considering point D is given a negative value in the question, the correct answer for the absolute value of point D is 7, which corresponds to choice C if the value of D is 7 or D if the value of D is -7.

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Answer:

6

Step-by-step explanation:

logx 27  * log3 x^2

The first step is to convert to base 10

(log 27/logx) * (log x^2/log3)

27 = 3^3 so we can rewrite this

(log 3^3/logx) * (log x^2/log3)

log a^b  = b log a

(3 log 3/logx) * (2log x/log3)

We can cancel the log x in the numerator and denominator and the log 3 in the numerator and denominator

3 * 2

6

Answer:

$17,600,000

Step-by-step explanation:

First, we need to count the amount of money we pay for each episode. If each episode costs you $200,000 to make, that would be subtracted from your total amount. If there are 150,000 viewers per episode, we can multiply 150,000 by 11, because there are 11 episodes. There are 1,650,000 people watching your show! Since the advertiser pays you $12 per person, we can simply multiply 12 times the number of people. You have earned $19800000. However, we need to subtract how much it took us to make the episodes, so we multiply the number of episodes, 11, by $200,000 and subtract the product from our total amount. Your amount of profit is $17,600,000.

Hope this helps! (Brainliest please!)

Answer:

$99 000

Step-by-step explanation:

(a) No. of episodes

There are 11 episodes per season.

No. = 0.5 × 11

No. = 5.5 episodes

=====

(b) No. of viewers

There are 150 000 viewers per episode

No. = 5.5 × 150 000/1

No. = 825 000 viewers

=====

(c) Payment

The advertiser pays $12 per 100 viewers.

Pay = 825 000 × 12/100

Pay = $99 000

The advertiser will pay you $99 000.

Answer: a is greater and less than -5 AND a is less than 5 (second choice)

Step-by-step explanation: they’re both valid inequalities when leaving the absolute value alone. |a| becomes a.

Because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2   y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. Now you can do the same thing with 0 and 2 as x. You get y=8 when x=0 and y=14 when x=2.

x  |   y

-2 |  2

0  |  8

2  |  14

Answer: a = c^(1/2) which is the first answer choice of the list

Work Shown:

a = b^(2/3) ... given equation

a = (c^(3/4))^(2/3) ... replace b with c^(3/4)

a = c^((3/4)*(2/3)) .... multiply exponents

a = c^(1/2) .... Simplify; note the 3's cancel, also 2/4 turns into 1/2

Answer:

The property for 8 +0 = 8, Additive Identity Property

Answer:

3 7/10

Hope that helped!

Answer:

3.7 converted into a fraction is [tex]\frac{37}{10}[/tex]

Step-by-step explanation:

Answer:

The correct answer is 9.

Step-by-step explanation:

Answer:

the answer is C hope this helps

Step-by-step explanation:

Answer:

(-1,4)

x=-1,y=4

Step-by-step explanation:

To solve by elimination, add the two equations together to eliminate y.

5x-4y=-21

-2x+4y=18

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

3x = -3

Divide by 3

3x/3 = -3/3

x=-1

Now we still need to find y

-2x + 4y = 18

-2(-1) +4y =18

2+4y =18

Subtract 2 from each side

-2+2 + 4y = 18-2

4y = 16

Divide by 4

4y/4 = 16/4

y =4

Answer:

Although I'm not entirely sure of the question (sorry lol), any ratio that is 1.5:2 , 6:8 , 9:12 , 12:18 etc would be equivalent to 3 to 4.

Step-by-step explanation:

If you divide both 3 and 4 by 2 you'd wind up with 1.5 ( 3 ) and 2 ( 4 ). When multiplying, you'd get 3x2 = 6 and 4x2=8, 3x3 = 9 and 4x3 = 12 and so on.

Answer:

d.  2x^2    -3x  -8

Step-by-step explanation:

if f(×)=2x^2-5 and

g(×)=3×+3

(f-g)(×)=

I like to line them up vertically

2x^2-5

-(3x+3)

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

Distribute the minus sign

2x^2-5

-3x-3

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

Line up the powers

2x^2+ 0x   -5

           -3x-3

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

2x^2    -3x  -8

Answer:

D. 45 students

25+4n=115+2n

     -2n         -2n

25+2n=115

-25         -25

2n=90

2n/2=90/2

n=45

The cost for both bus companies A and B is equal when there are 45 students on the trip. This result is achieved by setting the cost equations of the two companies equal to each other and solving for the number of students.

To solve this problem, we set the cost equations for bus companies A and B equal to each other and solve for the number of students.

For company A, the cost is $25 (rental fee) + $4 per student. For company B, the cost is $115 (rental fee) + $2 per student.

So, the equation becomes: $25 + $4 * number of students = $115 + $2 * number of students.

If you rearrange that equation and solve for the student variable by subtracting $2 * students from both sides and subtracting $25 from both sides, you end up with $2 * students = $90.

This means that the number of students, when divided by $90 and $2, is equal to 45. Thus, 45 is the number of students for the bus cost from both companies to be equal. Therefore, the answer is (d) 45 students.

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Answer:

P (black)  = 2/7

Step-by-step explanation:

We need to know the total amount of marbles.

2 red + 3 green + 2 black = 7 marbles

P ( black) = number of black marbles / total marbles

              = 2 /7

Answer:

1.What was the net price paid by Rowly

by 5/4/2  percentage 137000 cents,138400 cents,141200 cent

2.What was the amount of trade discount

by 5/4/2 percentage 7000 cents,5600 cents,2800 cents

Step-by-step explanation:

list price= $1,400

percentage discounts=5%

4%

and

2%

we have to find net price=?

we will calculate discount one by one

5% of 1400=[tex]\frac{5}{100}[/tex]×1400

5% of 1400=70

amount of trade discount for 5 %=70 dollar

we know that

1 dollar=100 cent

we will convert dollar into cents

7o dollar=70*100=7000 cent

Net amount  paid for 5% discount=1440-70=1370 dollar

1370 dollar=1370*100=137000 cent

4% of 1400=[tex]\frac{4}{100}[/tex]×1400

4% of 1400=56

amount of trade discount for 4 %=56 dollar

56 dollar=56*100=5600 cent

Net amount  paid for 4% discount=1440-56=1384 dollar

1384 dollar=1384*10138400 cent

2% of 1400=[tex]\frac{2}{100}[/tex]×1400

2% of 1400=28

amount of trade discount for 2%=28 dollar

28 dollar=28*100=2800 cent

Net amount  paid for 2% discount=1440-28=1412 dollars

1412 dollar=1412*100=141200 cent

Answer:

Approximately 201.06 in² of pizza sauce is needed

(if using the approximation π ≈ 3.14, then the answer is 200.96 in²)

Step-by-step explanation:

We assume that the pizza is perfectly circular and that we want to cover the entire surface. We need the formula for the surface area of a circle which is

  A = πr²,

where r is the radius of the pizza.

By definition, the diameter is twice the radius. So the radius of this pizza is half of 16'' = 16 inches, which is 8 in.

Therefore, (using a calculator value for π instead of 3.14 approximation),

  A = π(8 in)² = 64π in² ≈ 201.06 in².

Approximately 201.06 in² of pizza sauce is needed.

If you are need to use the approximation π ≈ 3.14, then the answer is 200.96 in²

Answer:

201.06 square inches

Step-by-step explanation:

We need to cover the whole surface area of the pizza so if the pizza is a circular one (using the typical shape), then we can use the formula of the area of a circle.

Area of a circle = pi * r^2

We are given the diameter of the circle to be 16 inches so its radius will be 8 inches.

Substituting this value of radius in the formula to get:

[tex]\pi r^2[/tex] = [tex]\pi (8)^2[/tex] = [tex]201.06[/tex]

Therefore, about 201.06 square inches of pizza sause is needed to cover the pizza.

Answer:

Option D is correct.

Explicit formula for the geometric sequence is, [tex]a_n = 64 \cdot (0.5)^{n-1}[/tex]

Step-by-step explanation:

Geometric sequence states that a sequence of numbers in which the ratio between consecutive terms is constant,

we can write a formula for the nth geometric sequence in the form of:

[tex]a_n = a_1r^{n-1}[/tex] .....[1] where [tex]a_1[/tex] is the first term and  r is the common ratio between successive term.

Given the sequence: 64, 32, 16 , 8......

Here, first term ([tex]a_1[/tex]) = 64.

Common ratio(r) = 0.5

Since,

[tex]\frac{32}{64} =0.5[/tex]

[tex]\frac{16}{32} = 0.5[/tex] ,

[tex]\frac{8}{16} = 0.5[/tex] ......

Substitute the value of a and r in [1] we get;

[tex]a_n = 64 \cdot (0.5)^{n-1}[/tex]

therefore, the explicit formula for the geometric sequence is, [tex]a_n = 64 \cdot (0.5)^{n-1}[/tex]

Answer:

I believe the answer to your question is p = 33

Step-by-step explanation:

Question: p÷3 - 7.2 = 3.8

Step 1: Add 7.2 to both sides of the equation

p÷3 - 7.2 = 3.8

+7.2           +7.2

p÷3 = 11

Adding 7.2 to both sides cancels out 7.2 on the left and whatever you do unto one side of an equation, you must do to the other (it's just a rule in math)

Step 2: Multiply by 3 on both sides

p÷3 = 11

x 3     x 3

p = 33

Same as last time; multiplying by 3 cancels out 3 on the left and whatever you do unto one side, you must do to the other

Answer:

p=33 is the answer

Step-by-step explanation: