two points on the x-axis that are 10 units from (1,8)

Yes, they do form a triangle. This is because the sum of any two sides in a triangle must be greater than the third side. In this case, 4 + 8 is greater than 10, so it meets the criteria for a triangle.

Yes, the side lengths 4 8 and 10 can form a triangle. This is because the sum of any two sides in a triangle must be greater than the third side. In this case, 4 + 8 is greater than 10, so it meets the criteria for a triangle. A triangle is defined as a polygon with three sides and three angles, and is one of the basic shapes in geometry. It is also one of the most studied shapes in mathematics due to its wide range of applications. The three angles of a triangle must add up to 180 degrees, and the three sides must satisfy the triangle inequality, meaning that the sum of any two sides must be greater than the third side. Additionally, the interior angles of a triangle are always equal to the sum of two exterior angles. Knowing this, it can be seen that the side lengths 4 8 and 10 can form a triangle, as the sum of any two sides is greater than the third side.

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Answer:

12x = 84

x = 7

Step-by-step explanation:

12x = 83 1/3 + 2/3

12x = 84

x = 84/12

x = 7

Hope that helps!

Answer:

it's the Option 2

Explanation;

since x has to be greater than 6 the line would go to the right or towards the greater side.

Then it's a open circle because it's strickly greater than

Step-by-step explanation:

By Pythagoras' Theorem, (√74)^2 = 7^2 + (0.5x)^2.

=> 74 = 49 + (0.5x)^2, (0.5x)^2 = 25, 0.5x = 5, x = 10.

Therefore, the probability that the toll collector will have to wait longer than 26.30 minutes before collecting the eighth toll is approximately 0.038.

Since the arrival of cars at a tollbooth follows a Poisson process with a rate of 5 cars every 10 minutes, the time between arrivals of cars follows an exponential distribution with a mean of 2 minutes (10 minutes / 5 cars). Let X be the time between arrivals of cars. Then, X ~ Exp(1/2) since the mean of an exponential distribution is equal to the reciprocal of the rate.

To find the probability that the toll collector will have to wait longer than 26.30 minutes before collecting the eighth toll, we need to find the probability that the sum of the waiting times for the first seven cars is less than 26.30 minutes and the waiting time for the eighth car is greater than the remaining time.

Let Y be the waiting time for the eighth car. Then, Y ~ Exp(1/2) since the waiting time for each car is independent and identically distributed. Therefore, the probability that the toll collector will have to wait longer than 26.30 minutes before collecting the eighth toll can be calculated as follows:

P(Y > 26.30 - T), where T is the sum of waiting times for the first seven cars.

Since the waiting times for each car are independent, the sum of the waiting times for the first seven cars follows a gamma distribution with parameters k = 7 and θ = 1/2. Therefore, we have:

T ~ Gamma(7, 1/2)

Now, we can calculate the desired probability as follows:

\(P(Y > 26.30 - T) = ∫∫\int\limits^a_b { (e^(-t/2) * (1/2)^{7})/6! } \, dx\)

= 0.038

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Answer:

I'm assuming you want to know his commission for the day.

$945

Step-by-step explanation:

6300+.15= 945

The main step to add rational expressions with unlike denominators is to take least common multiple of denominator and make them like before applying the required operation.

Therefore, the addition of rational expressions with unlike denominators is simplified by taking least common multiple.

The above question is incomplete, the complete question is:

Write steps for adding rational expressions with unlike denominators with example ?

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Answer:

The woman would be about 4.6 feet tall.

Step-by-step explanation:

I think we should set up a ratio to solve. We should find the relationship between the actual height and the shadow height.

We know that the height of the flagpole is 30 feet, and the shadow height is 13 feet. We know the woman's shadow height is 2 feet, and we want to find the woman's actual height. Let's solve!

\(\frac{30ft}{13ft}\) = \(\frac{x}{2}\)

Now that we have set that up, we can cross multiply to get x.

30 * 2 = 13 * x

60 = 13x

To get x alone divide by 13 on both sides.

X ≈ 4.6

So I think the woman would be about 4.6 feet tall.

Very short woman, lol.

Hope this helps, please mark brainliest if possible.

Have a nice day. :)

Answer:

it's ¢.34

Step-by-step explanation:

a gallon has 16 cups

since there are two gallons that's 32

the price of the two gallons divided my 32 is how much each cup would be so 10.88/32 would be ¢.34

The value of n  is 4, and the regular n-sided polygon becomes a square.

When a square tile, a regular hexagon tile, and an equilateral triangle tile share a common vertex, the total interior angle between them is 360°.

We can represent the interior angle between the sides of the regular n-sided polygon as 360°/n.

In the given problem, the square tile has an interior angle = 90°

The regular hexagon tile has an interior angle = 120°

The equilateral triangle tile has an interior angle = 60°.

The sum of all these interior angles = 270°.

Now equal the sum of interior angles = 360°

360° - 270° = 90° to the total interior angle.

This can be obtained by considering n=4 for the regular n-sided polygon, as the interior angle between sides of a regular 4-sided polygon is 360°/4 = 90°.

Therefore, the value of n  is 4, and the regular n-sided polygon becomes a square.

Did you mean, A square tile, a regular hexagon tile, an equilateral triangle tile, and a regular n-sided polygon tile share a common vertex? There are no gaps or overlaps between the tiles. What is n?

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Answer:

The greatest number of bags Lucia can make = 16

Each of the 16 bags will contain 4 stickers and 3 markers

Step-by-step explanation:

Markers = 48

Stickers = 64

What is the greatest number of bags Lucia can make?

Find the highest common factor of 48 and 64

48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48

64 = 1, 2, 4, 8, 16, 32 and 64

The highest common factor of 48 and 64 is 16

The greatest number of bags Lucia can make = 16

Stickers = 64/16

= 4 stickers per bag

Markers = 48/16

= 3 markers per bag

Each of the 16 bags will contain 4 stickers and 3 markers

Answer: $2171.79

Step-by-step explanation:

The correct answer is (d) No, it is not continuous because lim x→3 f(x) ≠ lim x→3 f(x).

To determine if the function f(x) = (x+3)/(x²-9) is continuous at x=3, we need to check if the limit of the function exists as x approaches 3 from both the left and the right, and whether this limit is equal to the value of the function at x=3.

First, we can check the limit as x approaches 3 from the left:

lim x→3- f(x) = lim x→3- (x+3)/(x²-9) = (-3)/(0-) = ∞

Next, we can check the limit as x approaches 3 from the right:

lim x→3+ f(x) = lim x→3+ (x+3)/(x²-9) = (6)/(0+) = ∞

Since both one-sided limits are infinite, the limit as x approaches 3 does not exist.

Therefore, the function f(x) = (x+3)/(x²-9) is not continuous at x=3.

The correct answer is (d) No, it is not continuous because lim x→3 f(x) ≠ lim x→3 f(x).

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The correct answers are: Grams of iron in a meal, Minutes spent on this test, Snacks eaten in a week

Parametric statistics could be used to analyze the following dependent variables:

Grams of iron in a meal: Parametric statistics can be used to analyze continuous numerical variables, such as the amount of iron in a meal, by assuming a specific distribution (e.g., normal distribution) and using techniques like t-tests, ANOVA, or regression.

Minutes spent on this test: Similarly, parametric statistics can be applied to analyze continuous numerical variables like the time spent on a test. Techniques such as t-tests or regression can be used to compare groups or explore relationships between variables.

Snacks eaten in a week: Parametric statistics can also be used for analyzing count data, such as the number of snacks eaten in a week. Techniques like Poisson regression or negative binomial regression can be used to model and analyze count data.

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☆ Bio fertilizer :- Biofertilisers are organisms that enrich the nutrient quality of the soil. The main source f biofertilizers are bacteria, fungi and cyanobacteria.

Answer:

Step-by-step explanation:

80

The utility function for which there will always be only a corner solution is option a, U(X,Y) = min(X, 3Y).

A corner solution occurs when the optimal choice lies on the boundary of the feasible region rather than in the interior. In option a, U(X,Y) = min(X, 3Y), the utility function takes the minimum value between X and 3Y. This implies that the utility depends on the smaller of the two variables. As a result, the optimal choice will always occur at one of the corners of the feasible region, where either X or Y equals zero.

For the remaining options, b, c, and d, the utility functions are not restricted to the minimum or maximum values of X and Y. In option b, U(X,Y) = X^2 + Y^2, the utility is determined by the sum of the squares of X and Y. Similarly, in option c, U(X,Y) = X^2Y^2, the utility is a function of both X and Y squared. In option d, U(X,Y) = 5X + 2Y, the utility is a linear combination of X and Y. These functions allow for non-zero values of X and Y to be chosen as the optimal solution, resulting in solutions that do not necessarily lie at the corners of the feasible region. Therefore, option a is the only one that guarantees a corner solution.

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Answer:

\( \frac{18}{4} \)

Step-by-step

4.5

Answer: i believe the answer is 2/3+9.26

Step-by-step explanation:

Answer:

\(\frac{2}{3} + 9.26\) or b

Step-by-step explanation:

i did it on edge ^^  happy to help (i got it right just incase u wondering)

Answer:

hope it helps

Step-by-step explanation:

23 is the right answer

Answer:             5

Step-by-step explanation: because

Answer:

7

Step-by-step explanation:

42/6=7

==================================================

Explanation:

SAS stands for Side Angle Side. Note how the angle is between the two sides. To prove the triangles congruent with SAS, we need to know two sides and an angle between them.

We already see that BC = CD as shown by the tickmarks. Another pair of sides is AC = AC through the reflexive theorem.

The missing info is the angle measures of ACB and ACD. If we knew those angles were the same, then we could use SAS to prove triangle ACB is congruent to triangle ACD.

It turns out that the angles are congruent only when they are 90 degrees each, leading to AC being perpendicular to BD. We write this as \(\overline{AC} \perp \overline {BD}\). The upside down T symbol meaning "perpendicular" or "the two segments form a right angle".

Answer:

17

Step-by-step explanation:

You would make the 10.01 a 10 and the 7.07 a 7.

A basic feasible solution to a linear program refers to a solution that satisfies all the constraints of the problem and lies on one of the extreme points of the feasible region.

To describe all descent directions from this point, we need to consider the gradient of the objective function. A descent direction is any direction along which the objective function decreases. Mathematically, the descent directions can be obtained by considering the null space of the constraint matrix.

The null space of the constraint matrix represents all the directions in which the constraints are satisfied. In other words, any linear combination of the vectors in the null space would not violate any of the constraints. Therefore, these vectors represent feasible descent directions.

However, not all descent directions are feasible descent directions. A feasible descent direction is one that not only decreases the objective function, but also satisfies all the constraints. The feasible descent directions can be obtained by intersecting the null space with the feasible region.

The simplex method, which is commonly used to solve linear programs, does not always move in a descent direction. In some cases, the simplex method may move in a direction that increases the objective function temporarily before eventually finding a better solution. This is because the simplex method explores different vertices of the feasible region in search of the optimal solution.

The descent directions from a basic feasible solution can be obtained by considering the null space of the constraint matrix. Feasible descent directions are those that not only decrease the objective function but also satisfy all the constraints. The simplex method does not always move in a descent direction as it may explore different vertices in search of the optimal solution.

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Complete question

The complete question is shown on the first uploaded image

Answer:

The  function is \(y = \frac{1}{18} (x -4 )^2 + 3.5\)

The  domain is  [1, 7]

Step-by-step explanation:

Generally from the Graph we can see that

   For the y-coordinate the point of symmetry is  \(y = g = 4\)

    For  the x-coordinate the point of symmetry is x  =  4

The general form of quadratic equation representing this type of curve is

      \(y = b(x-g)^2 + u\)

Now considering the coordinate (4, 3.5) along the axis of symmetry we have that

        \(3.5 = b(4-4)^2 + u\)

=>      \(u = 3.5\)

Now considering point B having the coordinates (7,4)

       \(4 = b(7-4)^2 + 3.5\)

     \(4 = 9b + 3.5\)

      \(b = \frac{1}{18}\)

Generally the function that define the given graph is

      \(y = \frac{1}{18} (x -4 )^2 + 3.5\)

From the graph the  first element for x  is 1 (i.e  [1 . 4] )and the last element for x is  7 (i.e [7,4])

So the domain of the function is [1, 7]

Answer:

36

Step-by-step explanation: