find the square root of 729 using factorisation method.​

This lane symbol is used for marking the beginning and ending of a left turn to the drivers.

What are lane symbols?

A permitted lane usage is denoted by a lane symbol. For example, a lane marked with a diamond is one that is designated for high-occupancy cars.  A lane symbol of a bicycle marks that the lane is designated for cyclists. At crossings, arrows indicate movements that are necessary or allowed. The user of the roadway must yield when there is a row of solid triangles. Likewise, two large curved arrows facing each other on a lane in the middle of a two way road with dashed lines on either sides indicate the beginning and ending of a left turn.

A Lane symbol or marking are also utilized to warn drivers of potentially dangerous situations that may be coming up. For instance, a triangle with no filling indicates a yield ahead. A speed hump is indicated by a succession of lines across a lane that get bigger and wider.

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The statement explaining why Chris will incorrectly determine the cost of taking the taxi cab to the airport is D. Chris should have multiplied 2.4 by d as shown by the equation c=(2.4d).

An equation is a mathematical statement proving two or more mathematical expressions to be equivalent or equal.

Equations use the symbol (=) to depict the equality of the expressions.

The equation to show the total cost of hiring a tax cab should multiply the distance (miles) by the unit rate.

The tax cab charge (rate) per mile = $2.40

The cost function or equation is C = distance x $2.40

= 2.40d

Thus, the correct cost equation is Option D.

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Since the measure of m<LKJ and m<MKL are both 40 degrees, this means that ray KL bisects m<MKL

The point where two lines meet is known as an angle.

From the diagram attached, the following expression is true;

m<MKJ = m<MKL + m<LKJ

Given the following parameters

m<MKJ = 80 degrees

m<MKL = 2x + 10

m<LKJ = 3x - 6

Substituting the given parameters into the formula:

2x + 10 + 3x - 5 = 80

5x + 5 = 80

5x = 80 - 5

5x = 75

x = 75/5

x = 15

Get the measure of m<MKL

m<MKL = 2x + 10

m<MKL = 2(15) + 10

m<MKL = 30 + 10

m<MKL = 40 degrees

Get the measure of m<LKJ

m<LKJ = 3x - 5

m<LKJ = 3(15) - 5

m<LKJ = 45 - 5

m<LKJ = 40 degrees

Since the measure of m<LKJ and m<MKL are both 40 degrees, this means that ray KL bisects m<MKL

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Answer:

C.  Her conclusion is correct because the value of x is 15.

Step-by-step explanation:

The number of blocks with exactly one red face is 25000 - 1200 = 23800.

The entire 10 * 10 * 10 cube has a total of 6 x 10^2 = 600 red faces, since all six faces are painted red.

When the cube is cut into ten 10 * 10 * 1 slices, each slice will have 100 red faces (since it has 10 * 10 = 100 square faces in total). Thus, all ten slices will have a combined total of 1000 red faces.

When each of these ten slices is cut into twenty-five 2 * 2 * 1 blocks, each block will have at least one face that was originally a red face. Specifically, there are two 2 * 2 faces and two 1 * 2 faces on each block, so at least one of these must be a red face. Therefore, there are a total of 25 x 1000 = 25000 blocks that have at least one red face.

To count the number of blocks with exactly one red face, we need to subtract the number of blocks with more than one red face from the total number of blocks with at least one red face.

Each 2 * 2 * 1 block has four edges, and each edge is shared by two adjacent blocks. Therefore, the total number of edges in the 25000 blocks is 4 x 25000 / 2 = 50000.

However, each block with more than one red face contributes twice to this count, since it shares two red edges with its neighbors. There are 600 blocks with more than one red face (the ones in the center of each slice), so they contribute 2 x 600 = 1200 to the total count.

Thus, the number of blocks with exactly one red face is 25000 - 1200 = 23800.

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Answer:

a. 6 + y

b. 3 × x

c. (10 × c) - 5

d. (6 × t) + 14

e. x + y = 18

f. x - 12 = 7

The average rate of change for the given quadratic function whose graph is shown on 0≤x≤4 is -1.

The average rate of change of the given quadratic function on the interval 0 ≤ x ≤1 is the slope of the secant line connecting the points (0,f(0)) and (1,f(1)).

That is the average rate of change is:

\(\frac{f(1)-f(0)}{1-0}\)

From the graph, f(0) is 0 and f(1) is -1

We plug in these values to obtain

= \(\frac{(-1)-0}{1-0}\)

This simplifies to;

= \(\frac{-1}{1}\)

= -1

Hence the average rate of change for the given quadratic function whose graph is shown on 0≤x≤4 is -1.

A quadratic function is a polynomial function that has one or more variables and the largest exponent of the variable is two. Since the term of the highest degree of a quadratic function is the term of the second degree,  it is also called a polynomial of degree 2. A quadratic function has at least one term that is a square term. This is an algebraic function.

The upper function of the square is of the form f(x) = x2 and  connects  points whose coordinates are of the form (number, number2). Transformations can be applied to this function, where it usually shows the form f(x) = a (x - h)2 k and can further  be transformed to f(x) = ax2 bx c. We will explore each of them in detail in the following sections.

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Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

got it right on edge

Answer:

226.2

Step-by-step explanation:

I took the test. I hope this helps! :)

The area of the circular lace is required.

The smallest circular piece of lace to cover the entire top of the table is 226.2 inches².

Length of each side of square = 12 inches

The diameter of the circle will be the length of the diagonal of the square from the given figure.

\(d=\sqrt{12^2+12^2}\\\Rightarrow d=12\sqrt{2}\ \text{in}\)

Area of a circle is given by

\(A=\pi\dfrac{d^2}{4}\\\Rightarrow A=\pi \dfrac{(12\sqrt{2})^2}{4}\\\Rightarrow A=226.194\approx 226.2\ \text{in}^2\)

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The null and alternative hypotheses for this hypothesis test is H₀ : p = 0.93,  Hₐ : p > 0.93.

A hypothesis in a scientific context, is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

Null and alternative hypotheses are used in statistical hypothesis testing. The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.

Let 'p' be the population proportion.

Given statement : The new brand of seeds advertises that 93% of the seeds germinate, which is higher than the germination rate of the seeds she is currently using.

Since null hypothesis shows that there is no significant difference between the quantities where as alternative hypothesis believes that there is some  difference,

Hence, the null and alternative hypotheses for this hypothesis test will be :-  H₀ : p = 0.93

          Hₐ : p > 0.93

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Wayne's Actual ACT score is 19.2 where mean is 21, standard deviation is 5 and the Z - score is -0.6.

Standard Deviation:

Standard deviation is  a measure of the dispersion of a set of numerical values from their mean.

The general form of the standard deviation is,

\(SD=\sqrt{\frac{\sum (x_i-\bar{x})}{n} }\)

where

xi is each value in the data set,

x-bar is the mean, and

n is the number of values in the data set.

Given,

Mean = 21.

Standard deviation = 5

Wayne's standardized score on the act = −0.6 .

Here we need to find the Wayne's Actual ACT score.

Let x be the Wayne's Actual ACT score.

So,
=> z-score = (x - mean)/SD

Apply the values on it,

=> -0.6 = (x - 21) / 3

=> -1.8 = x - 21

=> x = 21 - 1.8

=> x = 19.2

Therefore, Wayne's Actual ACT score is 19.2

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if you're solving it for R, it's r = 3s

if you're solving for S, it's s = r/3

The value of x is given as follows:

x = 7.

The angle measures are given as follows:

To obtain the value of x, we must consider that the sum of the internal angle measures of a triangle is of 180º.

The interior angles for the triangle in this problem are given as follows:

Hence the value of x is obtained as follows:

5x + 28 + 4x + 39 + 50 = 180

9x = 63

x = 63/9

x = 7.

Then the angle measures are given as follows:

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73² - 27² = 5329 - 729

= 4600

your welcome. Mark Me Brainliest

An angle in a rectangular coordinate system is in standard position if its vertex is at the origin of the plane, the initial side of the angle is on the positive x-axis, and the terminal side of the angle is in one of the four quadrants. The angle is measured in a counterclockwise direction from the positive x-axis and is considered positive if it lies in the counterclockwise direction and negative if it lies in the clockwise direction.

The position of an angle is measured from the reference line called the initial side, which is the positive x-axis, and it ends at the terminal side, which is the side where the angle is located. An angle in a rectangular coordinate system is in a standard position if its vertex is at the origin of the plane. An angle is said to be in a standard position if its vertex is located at the origin of the coordinate system.

To summarize, an angle in a rectangular coordinate system is in standard position if its vertex is at the origin of the plane, the initial side of the angle is on the positive x-axis, and the terminal side of the angle is in one of the four quadrants. The position of an angle is measured from the reference line called the initial side, which is the positive x-axis, and it ends at the terminal side, which is the side where the angle is located.

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Answer:

Area = ab

Step-by-step explanation:

Area is length × width, so fill in a for the length and b for the width. Multiply a and b together.

A = a×b

A = ab

Answer:

\(y - 3 = \frac{2}{3} (x - 3)\)

\(y = \frac{2}{3} x + 1\)

\(2x - 3y = - 3\)

Step-by-step explanation:

\(m = \frac{ - 5 - 3}{ - 9 - 3} = \frac{ - 8}{ - 12} = \frac{2}{3} \)

\(y - 3 = \frac{2}{3} (x - 3)\)

\(y - 3 = \frac{2}{3} x - 2\)

\(y = \frac{2}{3} x + 1\)

\(3y = 2x + 3\)

\( - 2x + 3y = 3\)

\(2x - 3y = - 3\)

Answer:

Area under the curve f (x) = 38 on interval [88, 132]: 38 132 -3344 (Decimal: 1672)

Step-by-step explanation:

Answer:

6 possible intergers brainliest me

Answer:

its 7

Step-by-step explanation:

The surface area of the composite figure shown in the figure attached is 233.6 cm²

An equation is an expression that shows the relationship between two or more numbers and variables.

The surface area of the composite = (6 * 8) + 2(8 * 3.6) + 2(0.5)(6 + 2 + 6 + 2)(3) + (8)(2 + 6 + 2) = 233.6 cm²

The surface area of the composite figure shown in the figure attached is 233.6 cm²

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Probability of receiving a hand with exactly three suits \(= (4 * (13^3)) / 2,598,960\)

What is Combinatorics?

Combinatorics is a branch of mathematics that deals with counting, arranging, and organizing objects or elements. It involves the study of combinations, permutations, and other related concepts. Combinatorics is used to solve problems related to counting the number of possible outcomes or arrangements in various scenarios, such as selecting items from a set, arranging objects in a specific order, or forming groups with specific properties. It has applications in various fields, including probability, statistics, computer science, and optimization.

To calculate the probability of receiving a hand with exactly three suits when dealt 5 cards from a well-shuffled deck of cards, we can use combinatorial principles.

There are a total of 4 suits in a standard deck of cards: hearts, diamonds, clubs, and spades. We need to calculate the probability of having exactly three of these suits in a 5-card hand.

First, let's calculate the number of favorable outcomes, which is the number of ways to choose 3 out of 4 suits and then select one card from each of these suits.

Number of ways to choose 3 suits out of 4: C(4, 3) = 4

Number of ways to choose 1 card from each of the 3 suits\(: C(13, 1) * C(13, 1) * C(13, 1) = 13^3\)

Therefore, the number of favorable outcomes is \(4 * (13^3).\)

Next, let's calculate the number of possible outcomes, which is the total number of 5-card hands that can be dealt from the deck of 52 cards:

Number of possible outcomes: C(52, 5) = 52! / (5! * (52-5)!) = 2,598,960

Finally, we can calculate the probability by dividing the number of favorable outcomes by the number of possible outcomes:

Probability of receiving a hand with exactly three suits =\((4 * (13^3)) / 2,598,960\)

This value can be simplified and expressed as a decimal or a percentage depending on the desired format.

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The probability distribution of the sample mean is approximately normal, with mean of 24.4 points and standard deviation of 1.175 points.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by the equation presented as follows: \(s = \frac{\sigma}{\sqrt{n}}\).

The mean is the same as the population mean, of 24.4 points, while the shape is approximately normal.

The standard error is given as follows:

\(s = \frac{4.7}{\sqrt{16}} = 1.175\)

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When 293 college students are randomly selected and surveyed, it is found that 114 own a car. The upper limit for the 90% confidence interval for the percentage of all college students who own a car is 46.3%.

The given problem is an example of confidence intervals in statistics. The formula for finding the confidence interval in percentage is given below:

Confidence Interval in Percentage = P ± Z Score x √ (PQ/n)

where

P = Sample proportion

Q = 1 - P

n = Sample Size

Z Score is obtained from the Z-Table where the confidence level is given.

To obtain the upper limit, the following formula should be used:

Upper Limit of the Confidence Interval = P + Z Score x √ (PQ/n)

Substitute the given values of the question into the formula:

P = 114/293 = 0.3891

Q = 1 - 0.3891 = 0.6109

n = 293

The upper limit for the 90% confidence interval is given by the Z-Table at 1.645:

Upper Limit of the Confidence Interval = 0.3891 + 1.645 x √ [(0.3891 x 0.6109)/293]

≈ 0.3891 + 1.645 x 0.0467

≈ 0.3891 + 0.07701

≈ 0.4661 = 46.3%

Therefore, the answer is 46.3%.

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Note that given the parameters of Triangle ABC, the measure of angle BC is 8cm.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.

To solve the above problem, we must use the Pythagoras Theorem.

BC = √AB²−√AC²

BC =√17² - √15²

BC =√(289 - 225)

BC = √64

BC = 8 cm

Thus, the length of BC is 64cm

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Full Question:

In ΔABC, c=90°,AB = 17 cm and AC = 15 cm . Calculate the measure of angle ABC.

Given that:

James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3 .

To find:

The equation that can be used to solve for zach's age.

Solution:

Let the age of zach be Z.

Zach added 8 to his age = Z+8

And multiplied this sum by 3 = 3(Z+8)

James is 6 times older than his friend Zach = 6Z

Now,

\(6Z=3(Z+8)\)

\(6Z-3Z=24\)

\(3Z=24\)

Divide both sides by 3.

\(Z=8\)

Therefore, the required equation is \(6Z=3(Z+8)\) is age of zach is 8 years.

Answer:

The lines are parallel

Step-by-step explanation:

When lines are parallel they travel side-by-side without ever crossing paths.

Answer: Parallel

Step-by-step explanation:

Two parellel lines have the same slope, thus will never cross, regardless of how far in each direction you go. This is true of the image attached, thus the lines are parallel.

Answer:

Yes, it represents direct variation.

The constant of variation is 2/3.

Step-by-step explanation:

Rearrange the equation to put it into y = kx form, which is the direct variation equation

3y - 7 = 2x - 7

Add 7 to both sides:

3y - 7 = 2x - 7

3y = 2x

Divide each side by 3:

y = 2/3x

So, the equation is y = 2/3x, which represents direct variation because it is in the form y = kx.

In y = kx, k is the constant of variation. Since the equation is y = 2/3x, k = 2/3.

So, the constant of variation is 2/3.

To find the cooling rate of the car, we need to determine the temperature decrease per unit of time.

Given that the car overheats at 280°F and can be driven again at 230°F, we can calculate the temperature difference:

Temperature difference = overheating temperature - driving temperature
Temperature difference = 280°F - 230°F
Temperature difference = 50°F

Since the cooling rate of the car is not explicitly given, we cannot directly determine it. However, we can make some assumptions based on the information provided.

Assuming that the cooling rate is linear, we can calculate the temperature decrease per degree Fahrenheit.

Temperature decrease per degree Fahrenheit = temperature difference / (overheating temperature - outside temperature)
Temperature decrease per degree Fahrenheit = 50°F / (280°F - 80°F)
Temperature decrease per degree Fahrenheit = 50°F / 200°F
Temperature decrease per degree Fahrenheit = 0.25°F

Therefore, the cooling rate of the car would be 0.25°F per degree Fahrenheit.

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Answer:

1

Step-by-step explanation:

p ÷ 5 - 2, If p = 15

15/5 - 2

(15/5=3)

3 - 2 = 1

1 is the answer