Select True or False for each statement about equilateral triangles.

A. An equilateral triangle has 3 equal angle measures.
A True B False
B. An equilateral triangle has 3 equal side measures.
A True B False
C. An equilateral triangle has 3 lines of symmetry.
A True B False

Please help!!

The statement is false. A function can have at most one horizontal asymptote.

A horizontal asymptote is a line that a function approaches as the input values become very large (positive or negative). A function can approach the same horizontal line from both sides as the input values approach infinity, which gives us a single horizontal asymptote. However, a function cannot approach two different horizontal lines as the input values become very large because that would mean it is behaving in two different ways at infinity, which is not possible. Therefore, a function can only have one horizontal asymptote, if it has any at all.

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Answer:

the bowling ball!

b-brainliest..........?????

Reason:

The tree is already 48 inches tall. We add on 3x to represent the idea the tree is growing 3 inches per month. Therefore, the total height is 48+3x or 3x+48 inches.

Let's say x = 5 months have elapsed as an example.

The tree would have grown 3*x = 3*5 = 15 inches to get 48+15 = 63 inches tall. In other words, y = 3x+48 will have y = 63 when x = 5.

The radical form of the expression  (5ab)\(^\frac{3}{2}\)  is √(125 a³b³).

Simply put, simplifying a radical eliminates the need to find any more square roots, cube roots, fourth roots, etc. when expressing it in its simplest radical form. Additionally, it entails eliminating any radicals from the denominator of a fraction.

The sign used to represent the square root or nth root. Square-root-containing expressions are known as radical expressions.

Radical equation  = b\(\frac{m}{n}\)  

= \(\sqrt[n]{b^m}\)

So,

(5ab)\(^\frac{3}{2}\) = \(\sqrt[2]{5^3}\)

\(\sqrt[2]{5^3}\) a³ b³

5³ = 125

√(125 a³b³)

The radical form of the expression  (5ab)\(^\frac{3}{2}\)  is √(125 a³b³).

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Answer:

6

Step-by-step explanation:

Answer:

12.4

Step-by-step explanation:

First you need to find the hypotenuse of the other triangle, because it makes up a necessary side for finding AD. Pythagorean theorem states that

a^2 + b^2 = c^2 where a and b are leg lengths and c is the hypotenuse. For the triangle on the left, you're given 2 legs. So you can substitute those into that formula:

a^2 + b^2 = c^2

(10)^2 + (6)^2 = c^2

100 + 36 = c^2

136 = c^2.

Now take the square root of both sides to isolate c.

11.6619038 = c.

11.6619038 rounds to 11.7 so c = 11.7

Now that you have the second leg length for the triangle on the right, you can find its hypotenuse.

Follow the same process. Substitute your values into the equation and then solve for c:

a^2 + b^2 = c^2

(11.7)^2 + (4)^2 = c^2

136.89 + 16 = c^2

152.89 = c^2

Now find the square root of both sides to isolate c

12.3648696 = c.

12.3648696 rounds to 12.4 so c = 12.4

So the distance of AD is 12.4

Answer:

Yes

Step-by-step explanation:

The given length of sides are \(5\) feet, \(6\) feet, and \(9\) feet.

For these sides to form a triangular truss, the sum of any two sides must be greater than the third side.

Here, \(5+6=11\) which is greater than \(9\), the third side.

Similarly, \(6+9=15\) which is greater than \(5\), and \(5+9= 14\) which is greater than \(6\).

So, this satisfies the conditions to the three sides to form a triangle.

Hence, yes, the triangular truss can be made by the given three sides.

Answer: there is so picture

Step-by-step explanation: it should give you the option when you ask the question it’s the little paper clip

Answer:

0,1

2,2

4,3

6,4

Step-by-step explanation:

Some Examples

4 = 1/2 (6) + 1

4 = 3 + 1

4=4

----------

2 = 1/2 (2) + 1

2 = 1 + 1

2 = 2

h

0

2

4

6

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

Answer:

  x = 1 +√5

Step-by-step explanation:

There are different formulas for the area of a triangle available, depending on the given information.

When two sides and the angle between them are given, the relevant area formula is ...

  Area = 1/2(ab)sin(C)

When the base and height of a triangle are given, the relevant area formula is ...

  Area = 1/2bh

The problem statement tells us the two triangles shown have equal areas. That means the two formulas will give the same result.

  Area from angle = Area from base/height

  1/2(x·x)sin(30°) = 1/2(x-2)(x+1)

  x² = 2(x² -x -2) . . . . . . . . . . . use sin(30°) = 1/2, multiply by 4

  x² -2x -4 = 0 . . . . . . . . subtract x², eliminate parentheses

  (x -1)² = 5 . . . . . . . . . add 4+1 to complete the square

  x = 1 ± √5 . . . . . . take the square root, add 1

The value of x must be greater than 2 in order for the triangle side lengths to be positive. (x-2 > 0) This means x = 1-√5 is an extraneous solution.

The value of x is 1 +√5.

The power functions among the given options are f(x) = 3⋅10x and f(x) = 8⋅2x.

A power function is a function of the form f(x) = ax^n, where a and n are constants. The variable x is raised to a constant power n, and the coefficient a determines the scale or magnitude of the function.

Among the given options:

- f(x) = 4⋅15x is not a power function because the base of the exponent is not a constant.

- f(x) = 17x√5 and f(x) = 12x√10 are not power functions because they include a square root term, which is not in the form of a constant power.

- f(x) = 3⋅10x and f(x) = 8⋅2x are power functions because they have a constant base (10 and 2, respectively) raised to a power that is a constant (x).

Therefore, the power functions among the given options are f(x) = 3⋅10x and f(x) = 8⋅2x.

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Answer:

THE ANSWER IS -13

Step-by-step explanation:

YOU REPLACE THE -6 In THE given function as follows

g(x)=3x+5

g(-6)=3(-6)+5

g(-6)=-18+5

g(-6)=-13

Answer:

a.2,3,4

Step-by-step explanation:

That's your answer .

Garrett's slope is incorrect. He should have put the x values in the denominator and the y values in the numerator. The correct calculation of the slope for the given table is: Slope = (13.00 - 12.00) / (8 - 4) = 1.00 / 4 = 0.25

To calculate the slope, we need to find the change in the y-values divided by the change in the x-values. In Garrett's case, he incorrectly calculated the slope by subtracting the x-values (years) from each other in the numerator and the y-values (hourly rates) from each other in the denominator.

The correct calculation of the slope for the given table is:

Slope = (13.00 - 12.00) / (8 - 4) = 1.00 / 4 = 0.25

Therefore, Garrett's slope is not correct. He made an error by swapping the x and y values in the calculation. The correct calculation would have the x values (4, 8, 12) in the denominator and the y values (12.00, 13.00, 14.00) in the numerator.

Additionally, Garrett's calculation does not consider the values in the table decreasing. The sign of the slope indicates the direction of the relationship between the variables. In this case, if the values were decreasing, the slope would have a negative sign. However, this information is not provided in the given table.

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Given :

Insurance cost , $693.00 .

Gas cost , $452.00 .

Average charge per fare , $7.00 .

Tuition fee , $3280.00 .

To Find :

The fare he have to get to pay his fee .

Solution :

Let , number of fair required is n .

Therefore , total profit is :

\(Profit = earning - expenditure \\Profit = 7n - 693-452\\Profit = 7n-1145\)

Now , to pay his fee this profit must be equal to his fee because he don't have other expenditure .

So ,

\(7n-1145=3280\\\\7n=4425\\\\n=\dfrac{4425}{7}\\\\n=632.1\)

But number of rides cannot be in decimal so minimum rides he must get is

632+1 = 633 .

Hence, this is the required solution .

This question is incomplete

Complete Question

The weight of an organ in adult males has a bell shaped distribution with a mean of 320 grams and a standard deviation of 20 grams. Use the empirical rule to determine the following. A.) About 68% of organs will be between what weights? B.) what percentage of organs weighs between 280 grams and 360 grams? C.) what percentage of organs weighs less than 280 grams or more than 360 grams? D.) what percentage of organs weighs between 300 grams and 360 grams?

Answer:

A.) About 68% of organs will be between what weights?

Therefore, 68% of the organs will weigh between 300 and 340 grams.

B.) what percentage of organs weighs between 280 grams and 360 grams?

95%

C.) what percentage of organs weighs less than 280 grams or more than 360 grams?

5%

D.) what percentage of organs weighs between 300 grams and 360 grams?

81.5%

Step-by-step explanation:

Empirical formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

Where:

μ = Population mean

σ = Population standard deviation

From the above question, we have the following information

Mean weight = 320 grams

Standard deviation = 20 grams

a) About 68% of organs weight between:

To solve for this, we would use the empirical rule:

68% of the data values lie within 1 standard deviation of the mean

Hence, 68% of the data values lie in the range:

Mean - 1 standard deviation to Mean + 1 Standard Deviation.

Mean - 1 Standard Deviation

μ - σ

= 320grams - 20grams = 300 grams

Mean + 1 Standard Deviation

μ + σ

= 320grams + 20grams = 340 grams

Therefore, 68% of the organs will weigh between 300 and 340 grams.

B.) what percentage of organs weighs between 280 grams and 360 grams?

Mean weight = 320 grams

Standard deviation = 20 grams

Hence,

x - mean = 280 grams - 320 grams = -40 grams

x - mean = 360 grams - 320 grams = 40 grams

Note that both differences = 2 × standard deviation

Hence, from the empirical formula above,

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ applies

Therefore, 95% of the organs fall between 280 grams and 320 grams

C.) what percentage of organs weighs less than 280 grams or more than 360 grams?

Mean weight = 320 grams

Standard deviation = 20 grams

Hence,

x - mean = 280 grams - 320 grams = -40 grams

x - mean = 360 grams - 320 grams = 40 grams

So, from the empirical formula above,

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ applies

Therefore, 95% of the organs fall between 280 grams and 320 grams

It is important to note that finding the percentage of data that weighs less than or more than the given range of values, the formula is given as:

Percentage of Value outside( less than or more than) the range = 100% - Percentage of values within the range

100% - 95%

= 5%

Therefore, the percentage of organs weighs less than 280 grams or more than 360 grams is 5%

D.) what percentage of organs weighs between 300 grams and 360 grams?

Mean weight = 320 grams

Standard deviation = 20 grams

Hence,

x - mean = 300 grams - 320 grams = -20 grams

20 grams = 1 × standard deviation

For 300 grams, the empirical formula that states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ applies.

It is important to note that the percentage of values below the mean and above the mean must be the same.

But since this is a bell shaped distribution, the percentage of data between 300 and 320 grams = 68%/2

= 34%

x - mean = 360 grams - 320 grams = 40 grams

40 = 2 × standard deviation

For 360 grams , the empirical formula that states that,

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ applies

It is important to note that the percentage of values below the mean and above the mean must be the same.

Since this is a bell shaped distribution, the percentage between 320 and 360grams = 95%/2

= 47.5%

Therefore, the percentage of organs that weighs between 300 grams - 360 grams = 34% + 47.5%

= 81.5%

Answer:

y=1x+2

Step-by-step explanation:

so 1x when x equals 2               1 x 2 =2+2 +=4

Answer:

Congruence in two or more triangles depends on the measurements of their sides and angles. The three sides of a triangle determine its size and the three angles of a triangle determine its shape. Two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal.

hope this helps mark me brainliest

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

the sum of the interior angles of a quadrilateral is 360°

let x be the fourth angle then sum and equate to 360°

x + 75° + 75° + 96° = 360°

x + 246° = 360° ( subtract 246° from both sides )

x = 114

that is the fourth angle is 114°

Answer:

30

Step-by-step explanation:

Let x be his speed at the morning, in miles per hour.

Then his speed after lunch was (x+10) mph.

2x + 3(x+10) = 220.

2x + 3x + 50 = 220

The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

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Answer: 22 meters

Step-by-step explanation:

I dont need to show

Answer:

Find 2 points on an exact coordinate.

Then find the change in the y and x.

Then divide y/x

Step-by-step explanation:

Hope this helps.

To determine the value of the rate constant, we can use the integrated rate law for a first-order reaction, which is: ln([AB]₀/[AB]) = kt.

Where [AB]₀ is the initial concentration of AB, [AB] is the concentration at time t, k is the rate constant, and t is the time.
We can rearrange this equation to solve for k: k = (1/t) * ln([AB]₀/[AB]), We can use any set of data points to calculate k, but it's best to choose a set that gives a straight line when ln([AB]₀/[AB]) is plotted against time.

Let's use the first and second data points:
ln([AB]₀/[AB]) = ln(0.206/0.186) = 0.099
t = 20 min

k = (1/20 min) * 0.099 = 0.00495 min⁻¹
We can also use the other sets of data points to calculate k and check if the values are similar:

ln([AB]₀/[AB]) = ln(0.206/0.181) = 0.135
t = 40 min

k = (1/40 min) * 0.135 = 0.00338 min⁻¹
ln([AB]₀/[AB]) = ln(0.206/0.117) = 0.613
t = 120 min
k = (1/120 min) * 0.613 = 0.00511 min⁻¹

ln([AB]₀/[AB]) = ln(0.206/0.036) = 1.763
t = 220 min
k = (1/220 min) * 1.763 = 0.00801 min⁻¹

The values of k calculated using different sets of data points are similar, which indicates that the reaction is first-order. The average value of k is: k = (0.00495 + 0.00338 + 0.00511 + 0.00801) / 4 = 0.00536 min⁻¹

Therefore, the value of the rate constant is 0.00536 min⁻¹ or 5.36 × 10⁻³ min⁻¹ (rounded to three significant figures). The units of k are min⁻¹ because the time is in minutes and the concentration is in M. We can also express k in units of s⁻¹ by multiplying it by 60, which gives 0.322 s⁻¹ (rounded to three significant figures).

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Answer: 100

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

If its a right triangle it will obey the Pythagoras theorem.

17^2 = 289

11^2 + 15^2 = 121 + 225  = 346

- so NOT a right triangle.

Answer:

bro i knew this in first grade

\(\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}\)

C.) 64 to 66 seconds

because, the function is decreasing with respect to time between interval 64 to 66 seconds.

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Answer:

1/9

Step-by-step explanation:

So, we are given the following data or parameters or infomation in the question above;

=>" A container has 14 yellow chips, 10 blue chips, and 12 red chips in it. "

=> "One chip is randomly chosen from the container, then a second chip is randomly chosen after replacing the first chip."

Therefore, the total number of chips in the container = 14 + 10 + 12 = 36 chips.

The probability of drawing a red chip in the first draw = 12/36 = 1/3.

The probability of drawing a red chip in the second draw = 1/3 also.

Thus, the probability that both chips are red => 1/3 × 1/3 = 1/9.