If m= 3 and n= 2, then m2-n2 is equal to

Without a visual of the tree diagram mentioned in the problem, it is difficult to provide an exact answer. However, we can use the fundamental counting principle to determine the number of possible combinations.

If there are, for example, 4 colors of balloons and 5 types of toys, then the number of different combinations a child may receive would be:

4 (number of colors) x 5 (number of types of toys) = 20

Therefore, the child may receive 20 different combinations of one color of balloon and one type of toy. However, this number may vary depending on the actual number of colors and types of toys available.

The total surface area of the figure is 498 cm².

We are given that;

s = 6 cm, h = 8 cm

Using the properties of this special triangle, we can find that:

a = s/2√3 = 6/2√3 = 3/√3 cm b = √(h² + a²) = √(8² + (3/√3)²) = √(64 + 9/3) = √(73) cm

Now we can plug these values into the formulas and simplify:

Surface area of a hexagonal prism = 6s(a + h) = 6(6)(3/√3 + 8) = 36(9/√3 + 8) ≈ 432.47 cm² Surface area of a hexagonal pyramid = 3ab + 3bs = 3(3/√3)(√73) + 3(6)(√73) = 9√73 + 18√73 = 27√73 ≈ 159.12 cm² Area of a hexagonal base = (3√3/2)s² = (3√3/2)(6)² = (9√3)(6) ≈ 93.53 cm²

Total surface area of the figure = Surface area of prism + Surface area of pyramid - Area of common base = 432.47 + 159.12 - 93.53 = 498.06 cm²

Rounding to the nearest square centimeter=498 cm²

Therefore, by the area the answer will be 498 cm².

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To choose a number between 14 and 20 as the sum for each line, let's select 17 as the sum.

By choosing different pairs of numbers, we can create an infinite number of combinations that result in the desired sum of 17 for each line.

We will then write numbers for each line so that the sum of each line is equal to 17.

Line 1: 5 + 12 = 17

Here, we selected two numbers, 5 and 12, whose sum is equal to 17.

Line 2: 8 + 9 = 17

By choosing 8 and 9, we ensure that their sum equals 17.

Line 3: 6 + 11 = 17

In this line, we opted for the numbers 6 and 11, whose sum adds up to 17.

Line 4: 10 + 7 = 17

By selecting 10 and 7, we maintain the sum of 17 for this line.

Each line is carefully crafted to have a sum of 17 by combining two numbers that add up to that value.

By choosing different pairs of numbers, we can create an infinite number of combinations that result in the desired sum of 17 for each line.

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The number of students that leave by bus or car is given as follows:

5801 students.

The union and intersection sets of multiple sets are defined as follows:

The or operation is equivalent to the union operation, meaning that we add the number of students that leave by bus to the number of students that leave by car.

Hence the number of students that leave by bus or car is given as follows:

3232 + 2549 = 5801 students.

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Answer:

its going to be option D

Step-by-step explanation:

i promise im right

Answer:

4 degrees Fahrenheit

Step-by-step explanation:

Answer:

negative four

Step-by-step explanation:

Answer:

D) g(x) = 2x-8

Step-by-step explanation:

Answer:

(7, -1)

Step-by-step explanation:

3x + 7y = 14

y = x - 8

3x + 7(x - 8) = 14

3x + 7x - 56 = 14

10x - 56 = 14

Add 56 to both sides.

10x = 70

Divide both sides by 10.

x = 7

3(7) + 7y = 14

21 + 7y = 14

Subtract 21 from both sides.

7y = -7

Divide both sides by 7.

y = -1

(7, -1)

The value of b/a of the number plates is 0.0

Decimals with the same number of decimal places are referred to as like decimals (after the decimal point). For instance, because both 2.33 and 4.52 include up to two decimal places, they are similar to decimals. Likely decimals are those that do not have the same number of decimal places (after the decimal point).

Decimal fractions and recurring (repeating or non-terminating, like) decimals are the three different types of decimals.

According to the above question

26 x 10000 = 260,000

If letter and digit repeats are allowed, the number of license plates that can be created under the new system is (26)3 * 1000 = 17,576, 000.

In other words, 260,000 / 17,576,000 = 0.0148, which, when rounded to the nearest tenth, equals 0!

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The value of x obtained by applying the rules of exponent is; x = 2

Exponents are a way to present repeated multiplication.

The specified equation is expressed as follows;;

√(2√(2√(2√(2)))) = √(x√(x√(x√(x))))

The specified equation indicates that the possible value of x can be obtained by applying the rules of exponents and raising both sides to the power of 16 as follows;

(√(2√(2√(2√(2)))))^(16)  = (√(x√(x√(x√(x)))))^(16)

2√(2√(2√(2))))^(8) = x√(x√(x√(x))))^(8)

2²×2√(2√(2)))^(4) = x²×(x√(x√(x)))^(4)

2⁴×2²2(√(2))^(2) = x⁴×x²x√(x))^(2)

2⁸2⁴2²2 = x⁸x⁴x²x

2¹⁵ = x¹⁵

Therefore;

2¹⁵/¹⁵ = x¹⁵/¹⁵

2¹⁵/¹⁵ = 2

x¹⁵/¹⁵ = x

2¹⁵/¹⁵ = 2 = x¹⁵/¹⁵ = x

2 = x

x = 2 (Symmetric property)

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Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

The probability that the gold coin was pulled from the box with two gold coins is 2/3, thus the correct option is c.

To find the probability that the gold coin was pulled from the box with two gold coins, we can use Bayes' theorem. Let's define the events:

Event A: Choosing the box with two gold coins
Event B: Pulling a gold coin

We are looking for the probability P(A|B). By Bayes' theorem, we have:

P(A|B) = P(B|A) * P(A) / P(B)

Now we need to find the probabilities for each term:

1. P(B|A) = Probability of pulling a gold coin given that we chose the box with two gold coins. This is equal to 1 since both coins in the box are gold.

2. P(A) = Probability of choosing the box with two gold coins. There are three boxes, so this is equal to 1/3.

3. P(B) = Probability of pulling a gold coin. This can be calculated by considering all possible ways to pull a gold coin from the three boxes:
 - From the first box (2 gold coins): (1/3) * (2/2) = 1/3
 - From the second box (1 gold and 1 silver coin): (1/3) * (1/2) = 1/6
 So, P(B) = 1/3 + 1/6 = 1/2

Now we can plug these values back into Bayes' theorem:

P(A|B) = (1) * (1/3) / (1/2) = (1/3) * (2/1) = 2/3

So the probability that the gold coin was pulled from the box with two gold coins is 2/3, which corresponds to answer choice C.

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Answer:

-Congruent triangles and their relationships.

-Similar triangles and their relationships

-SSS, ASA, SAS criterion of similarity

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Angles on a straight line add to 180°.

\(5x+1+6x+3=180 \\ \\ 11x+4=180 \\ \\ 11x=176 \\ \\ x=16\)

Answer:

y = 2x + 0

Step-by-step explanation:

Check the picture below.

(a) Find the dual of the LP.Primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\) subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n \leq\) \(b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n \leq b_m$ and $x_1, x_2,\)..., x_n\(\geq 0$\)

Let us find the dual of the above primal problem.

Dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq\)\(C_1$...$a_{1n}y_1+a_{2n}y_2+...+a_{mn}y_m \leq C_n$\)

and\($y_1, y_2, ..., y_m \geq 0$\)

(b) Find the standard form of the LP and dual.Standard form of the primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\)subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n +s_1 = b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n +s_m = b_m$\) and\($x_1, x_2, ..., x_n, s_1, s_2, ..., s_m \geq 0$\)

Standard form of the dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq 0$...$a_{1n}y\)

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Answer:

The Domain are 3,-5,2,-3

Step-by-step explanation:

hope that helps

Answer:

The domain is (3, -5, 2, -3

Step-by-step explanation:

Plz give brainlyest

In order to build a cutlery holder with a slope of 0.7, Sam needs to determine the height of each vertical column, labeled 'a', 'b', 'c', 'd', and 'e'.  Sam will be able to create a cutlery holder with a slope of 0.7.

To calculate the height of each vertical column, Sam needs to understand the concept of slope. Slope is the ratio of the vertical change (rise) to the horizontal change (run). In this case, the slope is given as 0.7.

Let's assume that the horizontal distance between each column is equal. We can assign a standard value of 1 unit for the horizontal run between columns.

To find the vertical rise for each column, we can multiply the horizontal run by the slope. Therefore, the height of column 'a' would be 0.7 units, column 'b' would be 1.4 units (0.7 * 2), column 'c' would be 2.1 units (0.7 * 3), column 'd' would be 2.8 units (0.7 * 4), and column 'e' would be 3.5 units (0.7 * 5).

By assigning these respective heights to each vertical column, Sam will be able to create a cutlery holder with a slope of 0.7.

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Answer:

The freshwater sources that are generally in continuous motion and follow a simple sequence

Step-by-step explanation:

I took the test

Answer:

57.5°

Step-by-step explanation:

For triangle ABC C = 90 Side AC = 13.5 Side BC = 8.6 Find the measure of angle B​

We solve using the Trigonometric function of Tangent

tan θ = Opposite/Adjacent

θ = Angle B

Opposite = Side AC 13.5

Adjacent = Side BC = 8.6

Hence:

tan θ = 13.5/8.6

θ = arc tan (13.5/8.6)

θ = 57.501354056°

Approximately = 57.5°

Therefore, Angle B = 57.5°

The probability  to unlock the tablet on his first try is \(P=\frac{1}{10^{9} }\).

According to the statement

We have to find that the probability  to unlock the tablet on his first try.

For this purpose, we know that the

Probability is the the ratio of the number of outcomes to the total number of possible outcomes.

And

The desired outcomes is the 1 because only 1 password is the correct.

And the total outcomes is the

Nine-digit codes.so,

\(T=10^{9}\)

Because For each digit, there are 10 possible outcomes.

And the probability is the

\(P=\frac{1}{10^{9} }\).

So, The probability  to unlock the tablet on his first try is \(P=\frac{1}{10^{9} }\).

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Answer:

x=5

Step-by-step explanation:

Simplifying 5x + -7 = 2x + 8 Reorder the terms: -7 + 5x = 2x + 8 Reorder the terms: -7 + 5x = 8 + 2x Solving -7 + 5x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 5x + -2x = 8 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x = 8 + 0 -7 + 3x = 8 Add '7' to each side of the equation. -7 + 7 + 3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 8 + 7 3x = 8 + 7 Combine like terms: 8 + 7 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5

Answer:

y = mx + b

Step-by-step explanation:

so you first put the points on the graph and connect them with a slanted line.

Next, for your equation start of with y =

then, your going to find your slope, after you find it put it in front of x (slope x) (Ex; if the slope was 3 then it would look like this 3x)

finally you write + and the y intercept (at which point the line goes through the y axis)

the equation together should look like y = slope x + y intercept

Answer:

\(\large \boxed{\mathrm{Option \ 4}}\)

Step-by-step explanation:

The area has to be found for the floor.

The whole rectangle = length × width = x × (x-4), has an area of x(x-4).

The area x(x-4) has to be subtracted from the area of the stage and closet.

Area of stage = area of triangle : base × height × 1/2

(x-4) × 8 × 1/2

(0.5) × (8) × (x-4)

Area of closet = area of rectangle : length × width

(3) × (7)

The area of the floor = x(x-4) - 0.5(8)(x-4) - 3(7)

Answer:

i don’t understand it either

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

16-4=12

7+6=11

The false statement is;

C. 16 - 4 = 7 + 6

Given that;

The mathematical expression is;

A. 16 + 3 = 11 + 8

B. 16 = 16

C. 16 - 4 = 7 + 6

D. 16 = 19 - 3

We have to state the false statement.

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The mathematical expression is;

A. 16 + 3 = 11 + 8

Left hand side,

16 + 3 = 19

Right hand side,

11 + 8 = 9

Left hand side = Right hand side

Hence, This is true.

B. 16 = 16

Left hand side = Right hand side

Hence, This is true.

C. 16 - 4 = 7 + 6

Left hand side;

16 - 4 = 12

Right hand side,

7 + 6 = 13

Hence, This is false.

D. 16 = 19 - 3

Left hand side;

16

Right hand side,

19 - 3 = 16

Left hand side = Right hand side

Hence, This is true.

Therefore, The false statement is;

C. 16 - 4 = 7 + 6

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Answer:

2.34

Normally it would be 1.95*6 however since everything is 20% off you need to find 20% of 1.95. You find that by:

Step-by-Solution for What is 20 percent of 1.95: 20 percent *1.95 = (20:100)*1.95 = (20*1.95):100 = 39:100 = 0.39. Now we have 20 percent of 1.95 = 0.39. explanation:

After you find that you multiply it by 6 so it would be 0.39*6 which equals 2.34. I hope this helped! :)

The confidence interval approach is the correct method by which to determine sample size. True

Confidence Interval:

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

In statistics, confidence is another word for probability. If you create a confidence interval, for instance, with a 95% level of confidence, you can be sure that 95 out of 100 times, the estimate will fall between the upper and lower values indicated by the confidence interval.

Your desired confidence level is usually one minus the alpha (α) value you used in your statistical test:

                    Confidence level = 1 − α

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The critical point of f at z = 1 is a local minimum.

To find the critical points of the function f(z, 3) = 4z^2 - 8z + 1, we need to find the values of z where the first partial derivatives with respect to z are equal to zero. Let's solve it step by step.

Take the partial derivative of f with respect to z:

∂f/∂z = 8z - 8

Set the derivative equal to zero and solve for z:

8z - 8 = 0

8z = 8

z = 1

The critical point of f occurs when z = 1.

To determine whether the critical point is a local minimum, local maximum, or a saddle point, we can use the second partial derivative test. We need to calculate the second partial derivative ∂²f/∂z² and evaluate it at the critical point (z = 1).

Taking the second partial derivative of f with respect to z:

∂²f/∂z² = 8

Evaluate the second derivative at the critical point:

∂²f/∂z² at z = 1 is 8.

Analyzing the second derivative:

Since the second derivative ∂²f/∂z² = 8 is positive, the critical point (z = 1) corresponds to a local minimum.

Therefore, the critical point of f at z = 1 is a local minimum.

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