If Dominik completes a project by himself, it will take him 8 hours. Working with Katarina, it will take them 5 hours. If they work together, what is the missing value from the table that represents the part of the project Dominik will complete? 8r 8(5) r (5)

Answer:

x=8

Step-by-step explanation:

The angles are vertical angles so they are equal

8x+36 = 5x+60

Subtract 5x from each side

8x+36-5x = 5x+60-5x

3x+36 = 60

Subtract 36 from each side

3x+36-36 = 60-36

3x =24

Divide each side by 3

3x/3 = 24/3

x=8

The measurement of the angles formed between parallel lines having a common transversal are readily determined by the relationship between the angles

The measures of the angles in the figures are as follows;

2. The required two column proof is presented as follows;

Statement  \({}\)                                                  Reason

∠1 and ∠a are linear pair angles   \({}\)             Given

∠1 + ∠a = 180° \({}\)                                             Linear pair ∠s are supplementary

∠2 and ∠b are linear pair angles   \({}\)            Given

∠2 + ∠b = 180°                                             Linear pair ∠s are supplementary

∠a and ∠b are consecutive interior ∠s   \({}\)   Definition

x║y    \({}\)                                                           Given

∠1 and ∠b are corresponding angles  \({}\)      Definition

∠1 ≅ ∠b   \({}\)                                                     Corr. ∠s formed between║ lines

∠1 = ∠b   \({}\)                                                      Definition of congruency

∠a + ∠b = 180°                                              Substitution property

∠a and ∠b are supplementary  \({}\)                  Definition

The information obtained from the proof is that given ∠1 and ∠b are located in corresponding locations relative to the common transversal of the parallel lines, they (∠1 and ∠b) are equal, and therefore, the the sum of ∠a and ∠b is 180°, given that the sum of ∠1 and ∠a is 180° by substitution property of equality. Which gives that ∠a and ∠b are supplementary angles. Therefore

3. Some of the other relationships between ∠1, ∠2, ∠a, and ∠b, are;

4. A real-life scenario where parallel lines and transversal exist are the handrail and baluster on railings of staircases

The limitations of the Ski slope scenario are;

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c. Explain what the result of your proof tells you about angles a and b.

Specifically, if you measured one angle, what would you know about the

other? (2 points)

One of the rules of probability states that the probability of any event A satisfies 0 ≤ P(A) ≤ 1. In other words, the probability of any event is greater than or equal to zero and less than or equal to zero.

Considering that, the value that cannot represent the probability of an event happening is 1.2.

1.2

Answer:

5

Step-by-step explanation:

Answer:

5 because 20/4=5.......

Answer:

59.8741928

Step-by-step explanation:

132lbs to kg is 59.8741928

Answer:

B. 1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 4(2)ˣ

Step 2: Evaluate

Answer:

y=4x+1

Step-by-step explanation:

Find the slope=rise/run. Use plot points to find intercept. 3=4(.5)+b, 3=2+b, 1=b

There are 4660194 metric ton of water fell on the city.

According to the statement

we have to find that the How many metric tons of water fell on the city.

And for this purpose, we know that the

From the given information:

Time period - 2hours

And A storm dumps 1.0 cm of rain on a city 6km wide and 8km long.

So,

we know that the

1 cm = 0.01 m

6 km = 6000 m

8 km = 8000 m

Now, the volume becomes

Volume of water = 0.01 m x 6000 m x 8000 m =  480000 m³

480000 m³ = 480000000 kg of water (density of water = 1000kg/m³)

103 kg = 1 metric ton

480000000 kg = 480000000 / 103 = 4660194 metric ton.

So, There are 4660194 metric ton of water fell on the city.

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Considering that the volunteers will record the standard deviation for each sample, and the samples are independent, the correct option is:

c. independent samples t test

Considering the three bullet points above, option c is correct.

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The measure of angle A is equal to 41.11 rounded to two decimal place, using trigonometric ratio for the cosine of the angle A. The correct option is B.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

cos A = 55/73 {adjacent/hypotenuse}

A= cos⁻¹(55/73) {cross multiplication}

A = 41.1121

Therefore, the measure of angle A is equal to 41.11 rounded to two decimal place, using trigonometric ratio for the cosine of the angle A

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Answer:

A) 7,950.00

Step-by-step explanation:

i got it right on the test

Answer:

The Answer is $7,960.93!!

Step-by-step explanation:

Probability that exactly 20 will be in the interval 0.5 to 0.75 Is about 7.8%

To find the probability that exactly 20 random numbers will be in the interval 0.5 to 0.75, we need to use the binomial distribution formula. Let p be the probability of a number falling in the interval (0.5 to 0.75), which is 0.25. Let n be the total number of random numbers generated, which is 100.

We want exactly 20 of these numbers to fall within the interval (0.5 to 0.75). Therefore, using the binomial distribution formula, we get: P(X = 20) = (100 choose 20) * (0.25)^20 * (0.75)^80

Using a binomial calculator, we find that P(X = 20) is approximately 0.078, or 7.8%. This means that if we generate 100 random numbers over the interval 0 to 1 many times, we can expect to see exactly 20 of them fall within the interval (0.5 to 0.75) about 7.8% of the time.

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Answer:

I think point D.

Step-by-step explanation:

Answer:

The answer is Point G

Step-by-step explanation:

I took the test on K12

Answer:

V = pi*r^2*h

V = 150 m^3

h = 8 m

150 = pi*r^2*8

Solve for r (the radius) then multiply by 2 to obtain the diameter.Only, this is a cone, not a cylinder.

V = 1/3 pi r^2 h

Diameter of the cone is 15 m. So, option D is correct.

Solid shapes are defined as the three-dimensional objects that are described by the three dimensions length, breadth and height.

Here,

Volume of the cone is given by,

 V = 150\(\pi\) m³

Height of the cone, h = 8 m

We know, the equation for the volume of a cone is,

V = 1/3\(\pi\)r²h

where r is the radius and h is the height of the cone.

So,

(1/3) \(\pi\)r²h = 150\(\pi\)

r²x 8 = 3 x 150 = 450

r² = 450/8

r² = 56.25

r = 7.5 m

Therefore, diameter of the cone,

d = 2r

d = 2 x 7.5

d = 15 m

Hence,

Diameter of the cone is 15 m.

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Answer:

OP = discount amount × 100 / discount %

Step-by-step explanation:

if I understand this correctly, the actual sale price was 36% (100-64) of the originally marked price.

original price (OP) = 100%

64% of OP = 30

1% of OP = 30/64

OP (100%) = 100 × 30/64

this could be simplified to 100 × 15/32, but this hinders is finding the global formula :

OP = discount amount × 100 / discount %

The profit function P(x) is given by:

P(x) = R(x) - C(x)

Substituting the given expressions for R(x) and C(x), we get:

P(x) = (-2x^2 + 469x) - (9x + 13650)

Simplifying this expression, we get:

P(x) = -2x^2 + 460x - 13650

To find the smallest break-even point, we need to find the quantity x for which the profit is zero. That is, we need to solve the equation:

P(x) = 0

Substituting the expression for P(x), we get:

-2x^2 + 460x - 13650 = 0

Dividing both sides by -2, we get:

x^2 - 230x + 6825 = 0

We can use the quadratic formula to solve for x:

x = [230 ± sqrt(230^2 - 4(1)(6825))] / 2(1)

x = [230 ± sqrt(52900)] / 2

x = [230 ± 230] / 2

x = 115 or x = 59.348

Since x represents the number of bins of cat food produced, we must choose the integer value for x. Therefore, the smallest break-even point occurs at x = 115.

Note that we could also have found the break-even point by setting the revenue equal to the cost and solving for x:

R(x) = C(x)

-2x^2 + 469x = 9x + 13650

2x^2 - 460x + 13650 = 0

Dividing both sides by 2, we get the same quadratic equation for x as before, which has solutions x = 115 and x = 59.348. However, we know that x must be a positive integer, so we choose x = 115 as the smallest break-even point.

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Given:

The objective is to find the explain the slope of a graph with an example.

The slope of a graph can be identified by the formula,

Here, x and y represents the any two coordinates of a graph.

Consider a graph of straight line with two coordinates.

Consider,

Now substitute the values in the formula of slope.

Hence, the slope of the graph is 1/2.

Answer:

Step-by-step explanation:

yeah

Answer:

11a + 13c -b - 36

Step-by-step explanation:

We add all the sides together because we're looking for perimeter.

Answer:

Liam has $12.

Step-by-step explanation:

Since Drew has $18 and that is $6 more than Liam's amount of money, you would subtract 6 from 18.

18-6=12

Hence, Liam has $12.

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The first constraint is a linear equation that relates the variables x1, x2, and x3, and the second constraint is an inequality constraint involving x1 and x2The given problem is a linear programming problem in its primal form.

The objective is to maximize the expression z = 7x1 - 5x2 - 2x3, subject to two constraints.. The goal is to find the values of x1, x2, and x3 that maximize the objective function while satisfying the given constraints.

In the primal problem, the objective is to maximize the expression z, which is a linear combination of the decision variables x1, x2, and x3. The coefficients 7, -5, and -2 represent the weights assigned to each variable in the objective function. The constraints represent the relationships and limitations imposed on the variables. The first constraint is an equality constraint, which means that the left-hand side of the equation must equal the right-hand side. The second constraint is an inequality constraint, indicating that the value of the expression 2x1 + x2 must be less than or equal to a certain value.

To solve this linear programming problem, various optimization techniques such as the simplex method or interior point methods can be applied. These methods iteratively adjust the values of the decision variables to find the optimal solution that maximizes the objective function while satisfying the given constraints. By solving the primal problem, the values of x1, x2, and x3 can be determined, leading to the maximum value of the objective function z.

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Complementary angles has sum of \(90^{o}\) and supplementary angles have sum of \(180^{o}\) , The answer is \(62^{o}\) and \(48^{o}\) .

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together.

When two angles' measurements add up to 90 degrees, they are said to be complementary. When two angles' measures sum up to 180 degrees, they are said to be supplementary. Keeping in mind that the letter s follows the letter c in the alphabet and that 180 is greater than 90 can help you avoid conflating these definitions.

\(28^{o}\)

complement = \(90^{o}-28^{o}\) = \(62^{o}\)

\(132^{o}\)

supplement= \(180^{o}-132^{o}\) = \(48^{o}\)

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Answer: "Count 2 and then count 31 more."

Step-by-step explanation:

We have the equation:

231 - 198

Now, the negative number is kinda ugly, so i will write it as:

200 - 2 = 198

Is a lot easier work with 200 and 2, than with 198.

Then the equation is now:

231 - (200 - 2)

And the left number we also have a "200", so it can be written as:

200 + 31 = 231

As this is a sum, we can ignore the parentheses.

200 + 31 - 200 + 2

31 + 2

Then the correct option is:

"Count 2 and then count 31 more."

The solutions of the equation 2sinθ - 1 = 0 in the interval (0, 2π) are θ = π/6 and θ = 13π/6.

To find all solutions of the equation 2sinθ - 1 = 0 in the interval (0, 2π), we can solve for θ by isolating the sine term and then using inverse sine (arcsin) to find the angles.

Start with the equation: 2sinθ - 1 = 0.

Add 1 to both sides of the equation: 2sinθ = 1.

Divide both sides by 2: sinθ = 1/2.

Take the inverse sine (arcsin) of both sides: θ = arcsin(1/2).

The inverse sine (arcsin) of 1/2 is π/6, so we have one solution θ = π/6.

However, we need to find all solutions in the interval (0, 2π). Since the sine function has a periodicity of 2π, we can add 2π to the solution to find additional solutions.

Adding 2π to π/6, we get θ = π/6 + 2π = π/6, 13π/6.

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Answer:

1.

Sin Q=14/50=7/25

Cos Q=PQ/50

Tan Q=14/PQ

Sin R=PQ/50

Cos R=14/50=7/25

Tan R=PQ/14

2. Tan (48) = x/14, x~~15.549

3. Sin (67) = x/29, x~~26.695

Step-by-step explanation:

REMEMBER SOHCAHTOA (Sin=Opp./Hyp., Cos=Adj./Hyp., Tan=Opp./Adj.)

1.

Sin Q=14/50=7/25

Cos Q=PQ/50

Tan Q=14/PQ

Sin R=PQ/50

Cos R=14/50=7/25

Tan R=PQ/14

2. Tan (48) = x/14, x~~15.549

3. Sin (67) = x/29, x~~26.695

Fruit punch is served during the reception in 154-ounce cups using division.

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groupings. When dividing numbers, we divide a bigger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.

For instance, 4 2 Equals 2. As a multiplication fact, this can be expressed as 2 + 2 = 4.

The division is represented mathematically by a symbol consisting of a tiny horizontal line with dots above and below the line. The division of two integers is represented by one of two fundamental division symbols.

Total fruit punch foe prepared = 3696 ounces

Number of punch balls = 4

Each serving has = 6 ounces of punch

So, 4 servings will have

4 × 6 = 24

The number of servings of fruit punch available at reception is given by

3696÷24

= 154

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Answer:

2%

Step-by-step explanation: