What can you tell about a triangle when given three side lengths?

What can you tell about the relationship between the angles of a triangle and its sides?

Answer:

Neither

Step-by-step explanation:

suppose that y = -2/5x+3 <=> y= ax+b and y=2/5x +7 <=> y=a'x+b'

so we have: a = -2/5; a'= 2/5

b= 3; b'=7

- 2 lines parallel when : a=a' and b not equal b'

- 2 lines perpendicular when: a * a' = -1

By the following things, 2 lines are not parallel or perpendicular.

A person who does not ignore a sunk cost increases the probability of making irrational decisions. This is because they are more likely to continue investing time, money, or effort into a project or situation that is not yielding positive results.

When we refer to a "sunk cost," we mean a cost that has already been incurred and cannot be recovered. Ignoring a sunk cost means not taking it into consideration when making decisions about the future. By not ignoring a sunk cost, individuals may feel a psychological attachment to their past investment, leading them to continue investing in something that may not be beneficial.

This can result in irrational decision-making and potentially wasting additional resources. For example, imagine a person who has spent a significant amount of money on a gym membership but rarely goes to the gym. Instead of accepting the fact that the money is already spent and may not be recouped.

They may feel compelled to continue paying for the membership in the hopes of eventually utilizing it. This decision is influenced by their failure to ignore the sunk cost and assess the situation rationally.

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The domain of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of f and the domain of g which is false.

A statement, opinion, or rule that forms a linking of two variables is characterized as a function. Mathematics has functions, which are necessary for the design of meaningful relationships.

The range refers to all potential values of y, and the domain refers to all conceivable values of x.

The denominator of the rational function shouldn't be 0. The function is not defined if the denominator is 0.

Thus, the given statement is false.

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The points on the curve where the tangent line has a slope of -1 are (2/√3, -(2/√3)) and (-2/√3, 2/√3). None of the given answer choices matches this solution, so the correct option is (E) None of the above.

For the points on the curve where the tangent line has a slope equal to -1, we need to find the points where the derivative of the curve with respect to x is equal to -1. Let's find the derivative:

Differentiating both sides of the equation x^2 - xy + y^2 = 4 with respect to x:

2x - y - x(dy/dx) + 2y(dy/dx) = 0

Rearranging and factoring out dy/dx:

(2y - x)dy/dx = y - 2x

Now we can solve for dy/dx:

dy/dx = (y - 2x) / (2y - x)

We want to find the points where dy/dx = -1, so we set the equation equal to -1 and solve for the values of x and y:

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

Cross-multiplying and rearranging:

y - 2x = -2y + x

3x + 3y = 0

x + y = 0

y = -x

Substituting y = -x back into the original equation:

x^2 - x(-x) + (-x)^2 = 4

x^2 + x^2 + x^2 = 4

3x^2 = 4

x^2 = 4/3

x = ±sqrt(4/3)

x = ±(2/√3)

When we substitute these x-values back into y = -x, we get the corresponding y-values:

For x = 2/√3, y = -(2/√3)

For x = -2/√3, y = 2/√3

Therefore, the points on the curve where the tangent line has a slope of -1 are (2/√3, -(2/√3)) and (-2/√3, 2/√3).

None of the given answer choices matches this solution, so the correct option is:

E) None of the above.

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Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

Answer: Knockin’

Step-by-step explanation:

When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

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Given that AC is a diameter of the circle, we can conclude that triangle ABC is a right triangle, with AC being the hypotenuse. The area of the circle is not directly related to finding the lengths of BC or AB, so we will focus on the given information: AB = 16 units.

Using the Pythagorean theorem, we can find BC. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AC) is equal to the sum of the squares of the other two sides (AB and BC):

AC² = AB² + BC²

Substituting the given values, we have:

(AC)² = (AB)² + (BC)²

(AC)² = 16² + (BC)²

(AC)² = 256 + (BC)²

Now, we need to find the length of AC. Since AC is a diameter of the circle, the length of AC is equal to twice the radius of the circle.

AC = 2 * radius

To find the radius, we can use the formula for the area of a circle:

Area = π * radius²

Given that the area of the circle is 2897 units², we can solve for the radius:

2897 = π * radius²

radius² = 2897 / π

radius = √(2897 / π)

Now we have the length of AC, which is equal to twice the radius. We can substitute this value into the equation:

(2 * radius)² = 256 + (BC)²

4 * radius² = 256 + (BC)²

Substituting the value of radius, we have:

4 * (√(2897 / π))² = 256 + (BC)²

4 * (2897 / π) = 256 + (BC)²

Simplifying the equation gives:

(4 * 2897) / π = 256 + (BC)²

BC² = (4 * 2897) / π - 256

Now we can solve for BC by taking the square root of both sides:

BC = √((4 * 2897) / π - 256)

To find the measure of angle BC (mBC), we know that triangle ABC is a right triangle, so angle B will be 90 degrees.

In summary:

BC = √((4 * 2897) / π - 256)

mBC = 90 degrees

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Answer:

k = 2.25 or  9/4

Step-by-step explanation:

2x^2 - 6x + k = 0

2(x^2 - 3x + 2.25) = 0

x                 -1.5

x                 -1.5

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

(x - 1.5) (x - 1.5) = 0

x = 1.5 or 15/10 = 3/2

one solution

If Laura has 6 pounds of chocolate, and she cuts them all into blocks that each weigh 1/5 of a pound, then the total number of blocks of chocolate would be;

Note that the chocolates have been cut in such a way that each weighs 1/5 of a pound, which means, each pound has been cut into 5 equal parts. Therefore, the total of 6 pounds of chocolate would yield 6 times 5 which equals 30 blocks of chocolate.

Answer:

\(G\) is not function. The reason is that it is not one-to-one.

Step-by-step explanation:

A function is a mapping that is also one-to-one.

\(G\) is indeed a mapping; it takes an input and relates it to one or more outputs.

A mapping is one-to-one if and only if each input is mapped to only one output. \(G\) is not one-to-one because it maps the input \(1\) to four different outputs. Hence, \(G\) isn't a function.

Answer:

2428.57mg

Step-by-step explanation:

170 mg of sodium =7%

170/7% = 2428.57mg

well, clearly is 4 :).

now, if we take 25 to be the 100%, what is 4 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 25 & 100\\ 4& x \end{array} \implies \cfrac{25}{4}~~=~~\cfrac{100}{x} \implies 25x=400\implies x=\cfrac{400}{25}\implies x=16\)

Answer:

x = 25/4

Step-by-step explanation:

snuzjsbzhsisnzbxhsjnsbx

Answer:

$426

Step-by-step explanation:

Step one:

given data

He bought a video game system for $299

2 games at $49 apiece= 2*49= $98

total cost = 299+98=$397

tax= 7.33%

=7.33/100*397

=0.0733*397

=29.1001

total cost = 29.1001+397

=$426

Answer:

10000000 Thousand second ........°°°°°°

A × B = {a, b} × {1, 2, 3} = {{a, 1}, {a, 2}, {a, 3}, {b, 1}, {b, 2}, {b, 3}}

Answer: 6.3

Step-by-step explanation:

Answer: 27.33 g water

Step-by-step explanation:

For this problem, we will need to use the equation for heat: q=mCΔT. Since we are given heat, change in temperature, and specific heat, all we have to do is plug them in to find grams.

4000J=m(4.181J/g°C)(100-65°C)              [find change in temperature]

4000J=m(4.181J/g°C)(35°C)    [divide both sides by specific heat and change in temperature]

m=27.33 g

The total rice flour is 5.6 ounces can be bought for $2.80 at that cost.

There are 16 ounces in a pound. So $8/16 ounces = $0.50 per ounce. Therefore, $2.80/$0.50 = 5.6 ounces of rice flour can be bought for $2.80 at that cost.

The calculation was determining how many ounces of rice flour can be bought for $2.80 at a cost of $8 per pound. It converts the cost per pound to cost per ounce and then divides the total cost by the cost per ounce to find the number of ounces that can be bought.

This type of calculation can be applied in daily life when comparing prices of different units of measurement (e.g. pounds to ounces) or when trying to stay within a budget when purchasing items. It can be used to compare prices and help make informed decisions about what to buy.

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All parts of the problem given have been explained and provided below.

Variables in any particular dataset are defined as any characteristics, numbers, or quantity that can be measured or counted to give information about any object, on which the dataset is based.

So, the variables in this given dataset are;

Overall score

Recommended

owner satisfaction

Overall miles per gallon

Acceleration (0-60) sec

Categorical or qualitative variables are those which can't be quantified or measured. Their values are defined by an order relation between the different categories.

the categorical variables in this dataset are,

Recommended

Owner satisfaction

Quantitative variables are those which can be measured in an order to provide information about an object.

the quantitative variables in this dataset are,

Overall score

Overall miles per gallon

Acceleration (0-60) sec

In the given dataset, 7 vehicles are recommended,

So their percentage would be,

7/15 × 100 = 46.67%

The average overall miles per gallon of these 15 vehicles is 25.4.

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The correct answer is 44

Answer:

2 hours 32 minutes

Step-by-step explanation:

Subtract.

If you could subscribe to my friend penny_pg3d on YT, that would be great! :)

The solution of the graph of the solution set y< 2x - 8 and y > -1/2 x - 3 is shown in image by purple shade.

What is Inequality?

To compare two or more mathematical expression in a relation is called an Inequality.

Given that;

The solution sets are;

y < 2x - 8

y > -1/2 x - 3

Now, We draw graph of inequalities.

Then we get,

The graph of the solution set y< 2x - 8 and y > -1/2 x - 3 is shown in image by purple shade.

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Step-by-step explanation:

25 min. to get to the library

1-hour story = 60 min.

25 min. to go back home

25 + 25 + 60 = 110 min.

110. min = 1.83333 hrs.

9:15 am + 1.83333 = 10.98333 am

98 - 60 = 38

60 = 1 hr. -----> 60 + 60 = 120 minutes -----> 2 hrs.

11: 38 am

Brainlist Pls!

Here, we want to find the total surface area of the square pyramid

From the net given, we have a square base and four triangles

The total surface area is the addition of the area of the square base to the area of the four triangles

The area of the square base will be;

Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

Answer:

3/7

Step-by-step explanation: