Can someone please explain to me how to work this out?

To prove the conjecture "If -1/3n = 12, then n = -36," we can use a two-column proof. The proof will involve algebraic steps to show that when -1/3n is equal to 12, n is indeed equal to -36.

-1/3n = 12 | Given

-1n = 12 * 3 | Multiply both sides by 3

-n = 36 | Simplify

n = -36 | Multiply both sides by -1

In the two-column proof above, we start with the given equation -1/3n = 12.

We then multiply both sides of the equation by 3 to eliminate the fraction, resulting in -1n = 12 * 3, which simplifies to -n = 36. Finally, we multiply both sides by -1 to isolate n, giving us n = -36.

By following the logical steps of algebraic manipulation, we have shown that if -1/3n is equal to 12, then n is indeed equal to -36. Thus, the two-column proof validates the conjecture.

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Answer:

23.63

Step-by-step explanation:

First you want to start with PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition and Subtraction)

Since we have parentheses we will start with those

\(4.5 * 10 = 45\\4.2 *10 =42\\8 *10= 80\)

for the decimals whenever you multiply a decimal by 10 you move the period one over to the right

now our equation looks something like this:

45 * 42 ÷ 80

for multiplication and division it doesn't matter which comes first as long as its in the order of the equation

\(45 * 42 = 1890\)

now we divide that by 80

1890 ÷ 80= 23.625

so then we rounded the 2 to 3 because if the number to the right is ≥ (greater than or equal to) 5 we round up, therefore having:

23.63

The expected one-period return for the asset is given by the expression 0.0675 + 0.045 + 0.03 + 0.04p + 0.04, where 'p' represents an unknown probability.

The given probability distribution represents the one-period return for an asset, with corresponding probabilities assigned to each return value. To find the expected one-period return, we need to calculate the weighted average of the returns, where the weights are the probabilities.

Let's calculate the expected one-period return step by step:

1. Multiply each return value by its corresponding probability:

  0.27 * 0.25 = 0.0675

  0.18 * 0.25 = 0.045

  0.10 * 0.30 = 0.03

  p * 0.04 = 0.04p

  0.20 * 0.20 = 0.04

2. Sum up the products calculated in step 1:

  0.0675 + 0.045 + 0.03 + 0.04p + 0.04

3. Set the sum equal to the expected one-period return, denoted as E(R):

  E(R) = 0.0675 + 0.045 + 0.03 + 0.04p + 0.04

Therefore, the expected one-period return of the asset is 0.0675 + 0.045 + 0.03 + 0.04p + 0.04.

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Answer:

D

Step-by-step explanation:

Because consecutively when the line heads up, it goes (8,2) then (12,3) then (16,4)

This is a relationship proportionally because for every 4 the x goes up, the y will go up 1

Answer:

D

Step-by-step explanation:

A and C aren't proportional relationships because a straight line denotes a constant of proportionality. They aren't straight so no such relationship exists. B is also incorrect because a proportional relationship means that
y = kx. When x = 0, y should also be 0, but it's not. So there is no proportional relationship between x and y for Option B.
(equation is y = x - 2)

Option D is a proportional relationship because the constant k of proportionality is 1/4. The function of Option D is y = x/4. Divide each y-value by its respective x-value and the answer will by 1/4 or 0.25 always.

Answer:

5?

Step-by-step explanation:

There is no value for x, but the y value for 0 would be 5.

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find which expression represents the description "twice the quantity m plus n".

\(\triangle~\fbox{\bf{KEY:}}\)

First, add m and n:

\(\star~\large\pmb{m+n}\)

Now, multiply two times this sum:

\(\star~\large\pmb{2(m+n)}\)

See, the parentheses around the sum show that we multiply two times both m and n.

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

Answer:

2(m + n)

Step-by-step explanation:

The words describe a quantity. "Twice" means two-times the previous amount. m and n are the unknown numbers that are being added, so you must put them in parentheses to indicate that they should be added first.

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer: Option c.

Step-by-step explanation:

The dotted line means that the points in the line do not belong to the system, while the other line has all the points on the line.

Now, the point we are looking for must be a solution for both inequalities, so it must be in the region of the graph that is double shaded. (this would be the area at the left)

You now can take each point and see where it is located in the graph, if it is inside the double shaded area, then it is the correct answer.

Now, you will see that the only point that lies inside the double shaded area is the point (-4,1), so the correct option is c.

The point (-4, 1) is in the solution set of the system of inequalities.

An inequality shows the non equal comparison between two numbers or variables.

Given the inequalities as shown in the graph, the solution set of the inequalities is the point that lies on the dark shaded portion.  

The dark shaded portion is the solution of the inequality.

From the graph the point (-4, 1) lies on the dark shaded portion.

Therefore the point (-4, 1) is in the solution set of the system of inequalities.

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Answer:

Step-by-step explanation:

To find the total area of the track, we need to calculate the area of each section and then add them together.

Area of a semi-circle with radius 31m:

A = (1/2)πr^2

A = (1/2)π(31m)^2

A = 4795.4m^2

Area of a rectangle with length 92.7m and width 31m (the straight parts):

A = lw

A = (92.7m)(31m)

A = 2873.7m^2

To find the total area, we need to add the areas of the two semi-circular ends and the two straight sections:

Total area = 2(Area of semi-circle) + 2(Area of rectangle)

Total area = 2(4795.4m^2) + 2(2873.7m^2)

Total area = 19181.6m^2

Rounding this to 1 decimal place, we get:

Total area ≈ 19181.6 m^2

Therefore, the total area of the track is approximately 19181.6 square meters.

Answer:

cos (C) = (2x + 5) / (3x + 2)

Step-by-step explanation:

The cosine ratio is cos (θ) = adjacent side/hypotenuse.

When C is θ, BC is the adjacent side and AC is the hypotenuse (always opposite the right angle).

Since BC =2x + 5 and AC = 3x + 2, cos (C) = (2x + 5) / (3x + 2)

Answer:

ca,ga,ba,ca,cd,hr,ga,bb,ca,

Answer:

S = -90t + 550

Step-by-step explanation:

First we must note a few key things the question tells us:

1. The tickets sell at a constant rate, thus implying a linear relationship.

2. Tickets start selling at 10

3. The independent variable (t) is in hours after 10

4. The number of tickets (S) is declining, thus we should expect a negative gradient.

5. The number of tickets is our dependent variable since it is reliant on time.

y = mx+c is our general linear expression which we will call "Eq 0"

Lets substitute our knowns into this to find m and c. We know that "t" is independent and that "S" is dependent on "t" therefore, we know that our x-axis will be representing values for "t" and that our y-axis will represent values for "S"

We must use simultaneous equations to find m and c

Eq 1: 550 = m(0) + c -> 550 = c

Eq 2: 280 = m(3) + c -> 280 = 3m + c

From Eq 1. we already know that our y intercept is at 550.

To find our gradient, we must substitute our known (550 being the y-intercept) into the next equation.

Thus,

280 = 3m + 550

To isolate our variable (m) we subtract both sides by 550

280 - 550 = 3m + 550 - 550

-270 = 3m

To finally find m, we divide both sides by 3

-270/3 = 3m/3

-90 = m

Now we substitue both our knows into Eq 0, note that our gradient (m) is negative as expected.

y = -90x + 550

Or, in terms of S and t

S = -90t + 550

The volume of the solid figure is 704 cm³.

We have,

The volume of the cube and a right equilateral triangular prism.

Cube = side³ ______(1)

Equilateral triangular prism = (1/2 x base x height) x side _____(2)

Now,

Side = 8 cm

Height of the triangular prism = 6 cm

Base of the triangular prism = 8 cm

Substituting in (1) and (2).

Cube = side³ = 8³ = 512 cm³ ______(3)

Equilateral triangular prism

= (1/2 x base x height) x side

= 1/2 x 8 x 6 x 8

= 4 x 6 x 8

= 192 cm³ ______(4)

Now,

The volume of the solid figure.

From (3) and (4)

= 512 + 192

= 704 cm³

Thus,

The volume of the solid figure is 704 cm³.

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Answer: Natural/Counting = 1, 0, 6, 3,

Whole = 1234, 135

Integers = -42,260, -97

Rational = 0.5432, 14.4, 6.2, 6.5892,

-14.4, 7.7777777, -13.574,

3.14, 0.4, 6.2, 0.4, 0.34,

12/6, -8/4, -10/5, -3/4, -3/8,

3/7, -4/8, 6/2, -8/4

Irrational = √34, -√34, -√ 36, 2π, √81,

√300, √1, π.

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Answer:

It's exponential

Step-by-step explanation:

(a) Yes, a confidence interval for the true average lifetime can be calculated without assuming anything about the nature of the lifetime distribution.

(b) Using the given data, we can calculate a confidence interval with a 99% confidence level for the true average lifetime, with a mean of 1191.6 and a standard deviation of 506.6.

(a) It is possible to calculate a confidence interval for the true average lifetime without assuming any specific distribution. This can be done using methods such as the t-distribution or bootstrap resampling. These techniques do not require assumptions about the underlying distribution and provide a reliable estimate of the confidence interval.

(b) To calculate a confidence interval with a 99% confidence level for the true average lifetime, we can use the sample mean (1191.6) and the sample standard deviation (506.6). The formula for calculating the confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

The critical value depends on the desired confidence level and the sample size. For a 99% confidence level, the critical value can be obtained from the t-distribution table or statistical software.

The standard error is calculated as the sample standard deviation divided by the square root of the sample size.

Once we have the critical value and the standard error, we can calculate the confidence interval by adding and subtracting the product of the critical value and the standard error from the sample mean.

Interpreting the confidence interval means that we are 99% confident that the true average lifetime falls within the calculated range. In this case, the confidence interval provides a range of values within which we can expect the true average lifetime of individuals suffering from blood cancer to lie with 99% confidence.

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Cambodia takes initiatives such as the conservation of ancient temples, traditional arts and crafts, and cultural festivals. Myanmar promotes traditional music, dance, and literature.

In Cambodia, the preservation of cultural heritage is a significant priority. The country places great importance on the conservation of ancient temples, particularly the iconic Angkor Wat complex, which is a UNESCO World Heritage Site. Restoration projects are carried out to maintain the structural integrity of these temples, ensuring their long-term preservation. Additionally, Cambodia takes pride in its traditional arts and crafts, such as silk weaving and pottery, and efforts are made to pass on these skills to younger generations. Cultural festivals, such as the Water Festival and the Khmer New Year, are celebrated with enthusiasm, providing a platform to showcase traditional music, dance, and cuisine.

On the other hand, Myanmar focuses on preserving its cultural identity by promoting traditional forms of expression. Traditional music, such as the haunting melodies of the Burmese harp (saung-gauk) and bamboo flute (palwei), is encouraged and performed during cultural events. Classical dance forms, like the graceful Burmese dance (a-nat), are preserved and taught in schools. Literature also plays a crucial role in Myanmar's cultural preservation, with efforts made to safeguard ancient scripts and manuscripts. The country's rich religious practices, particularly Buddhism, are also carefully preserved, with numerous pagodas and monasteries serving as centers for spiritual and cultural activities.

While their approaches differ, both Cambodia and Myanmar recognize that preserving their respective cultures is vital for maintaining their unique identities and attracting tourists. The conservation efforts in Cambodia and the promotion of traditional art forms in Myanmar contribute to the countries' cultural vibrancy and serve as a testament to their rich heritage. By preserving their cultural treasures, both nations aim to not only safeguard their past but also foster a sense of national pride and identity in the present and future.

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Answer:

3

Step-by-step explanation:

Answer:

Life without you is like a broken pencil…..pointless.

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

12/1/2 - (-4/1/2) becomes 12 1/2 + 4 1/2 after simplification.  Note that 12/1/2 is invalid.

Combining 12 1/2 and 4 1/2 yields 17.

Divisions of the rectangle will be equal apart from the color Inga assign.

A rectangle is a two-dimensional shape that has four sides and four right angles. The opposite sides are parallel and equal in length. The area of a rectangle can be calculated by multiplying the length of the rectangle by its width.

Here,
Since the rectangles are identical, they would have the same area and thus, the same divided parts. Therefore, the areas of the colored parts would also be equal.

Thus, divisions of the rectangle will be equal apart from the color Inga assign.

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The measure of <1 is 147 degree.

Given:

m∠2 = 12x - 15

m∠7 = 3x + 21

Since angles 2 and 7 are alternate Exterior angles, they are congruent.

So, 12x - 15 = 3x + 21

12x - 3x = 21 + 15

9x = 36

x = 4

So, <2 = 12x - 15= 48 - 15 = 33

Now, <1 + <2 = 180 (Linear Pair)

<1 + 33 = 180

<1 = 147 degree

Thus, the measure of <1 is 147 degree.

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Answer:

A

Step-by-step explanation:

We can calculate the equation of the lines based on two points. First line m:

y = ax +b

where a is the slope and b is the y-intercept. To find the slope we use the x and y of the points as:

a = \(a = \frac{y_1-y_2}{x_1-x_2} = \frac{4- -32}{2- -4} = \frac{36}{6} = 6.\)

So:

y = 6x + b

we can find the y intercept by substituting the x and y for one of the points:

solving for b:

b=-32-(6)(-4)= -8.

So the equation is:

y = 6x - 8.

We can change it to:

y + 8 = 6x

8 = 6x - y.

So it’s (A).

Hope that helps!

Answer:

B I think

Step-by-step explanation:

Answer:

6, 8, and 10 cm

Step-by-step explanation:

3+4+5=12

24/12=2

2*3=6

2*4=8

2*5=10

The congruence postulate or theorem that can be used to prove that

< SMI ≅ < LEI is Side - Angle - Side postulate

Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules

Some of the rules include

The problem requires the prove by Side - Angle - Side = SAS to ensure that the the triangles are congruent

The SAS have it that the two triangles being compared should have their two sides and the included angle to be equal

the angles and side used here include

SI  - < SIM - IM

LI - < LIE - IE

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Answer:

She spent $49.57

Step-by-step explanation:

30.95+9.99+5.79+2.84= $49.57

Answer:

10 cm long

Step-by-step explanation:

Darrin says that Gordo is wrong by 25% so if Gordo says his fish is 40 cm long then you just have to figure out what is 25% of 40.  

Answer:

x=145

Step-by-step explanation:

x+10+x=720-460

Answer:

125°

Step-by-step explanation:

Accumulate every detail given:

720 = 120+100+120+120+ (x+10) + x

720 = 120+100+120+120+2x+10

720=470+2x

Flip the equation to avoid negative equation

470+2x=720

2x=720

x=250/2

x=125

125 Is the final answer