Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

The required simplified value of the given expression is x = 1/3.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression is an exponential expression,
Though,
8ˣ = 2
Taking logs on both sides,
xlog8 = log 2
x = log2/log8
x = log2/3log2
x = 1/3

Thus, the required simplified value of the given expression is x = 1/3.

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Answer:

3 2/9

Step-by-step explanation:

9 can go into 29 3 times with 2 leftover.

Answer: 3.2 or 3.22

Step-by-step explanation: To write an improper fraction a mixed number you start by seeing how many times the denominator (bottom number) goes in to the numerator (top number). Since the denominator is 9 and the numerator is 29, 9 goes into 29 3 times.

According to the manufacturer of the candy Skittles, 20% of the candy produced is red. If we take a random sample of 100 bags of Skittles, the sampling distribution for proportion is obtained.

The sampling distribution is the distribution of a statistic based on samples drawn from a population. If draw all possible samples of a given size from a population, the mean and standard deviation of that sample are the expected value and standard error of the sampling distribution.

The sampling distribution of a proportion is a probability distribution of sample proportions drawn from a population. The mean of a sampling distribution of a proportion is the population proportion itself; that is, the sampling distribution's mean is equal to p.

The standard deviation of a sampling distribution of a proportion is known as the standard error of the proportion. The formula for the standard error of the proportion is

standard error of the proportion = sqrt(pq/n),

where p = proportion of individuals in the population that has a certain characteristic q = 1-pn = size of the sample.

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Answer:

x < 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Inequality

3x + 1 < 10

Step 2: Solve for x

Here we see that any value x smaller than 3 would work as a solution to the inequality.

At the end of the fifth day, a bricklayer has laid 324 bricks on the job.

Multiplication is a mathematical arithmetic operation.

It is also a process of adding the same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given, a bricklayer lays 4 bricks on the first day on the job.

On each day thereafter, he lays three times the number of bricks he laid on the previous day.

And he continued his pattern.

Let x be the number of bricks he laid in the previous day.

Then according to the question,

The number of bricks in total is = 3x

For the second day, x =4

Number of the bricks he laid on the second day = 12

Now the x =12 for the third day.

Number of the bricks he laid on the third day = 36

Now x = 36 for the fourth day.

Number of the bricks he laid on the fourth day = 108

Now the x = 108 for the fifth day.

Number of the bricks he laid on the fifth day = 324

Therefore, 324 bricks he has laid at the end of the fifth day.

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Answer:

2 hours and 45 minutes

Step-by-step explanation:

you add the 15 and 30 and then add 2 hours.

Ana spent 2 hours and 45 minutes working.

Unitary method is a technique used in mathematics to solve problems that involve proportional relationships. It involves finding a unit rate (i.e., a rate per unit) and using it to solve problems that involve different quantities of the same type of unit.

To find the amount of time Ana spent working, we need to subtract the starting time from the finishing time.

The starting time is 2:45 pm and the finishing time is 5:30 pm.

We can subtract the starting time from the finishing time as follows:

5:30 pm

2:45 pm

2:45 pm

So, Ana spent 2 hours and 45 minutes working.

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Answer:

The alphabets Z, H, S, N and O have rotational symmetry.

The probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.

The given probability distribution table shows the probabilities of having 1, 2, or 3 computers in a randomly selected home in Queens. However, the probability of having 4 or more computers is not given in the table.

To find the probability of having 4 or more computers in a randomly selected home, we can use the complement rule. The complement rule states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, the event we are interested in is having 4 or more computers in a home, and the complement of this event is having 1, 2, or 3 computers in a home.

So, the probability of having 4 or more computers in a randomly selected home in Queens can be calculated as:

P(4 or more) = 1 - P(1 or 2 or 3)

P(1 or 2 or 3) = P(1) + P(2) + P(3) = 0.4 + 0.3 + 0.2 = 0.9

P(4 or more) = 1 - 0.9 = 0.1

Therefore, the probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.

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The magnitude of the resultant force is 135.83 pounds, and its direction angle is 67.7°.

To find the magnitude and direction of the resultant force, we can use vector addition. We first convert the forces into their x and y components. The x-component of the first force is 90 cos(68°) = 34.48 pounds, and the y-component is 90 sin(68°) = 82.73 pounds.

Similarly, the x-component of the second force is 50 cos(61°) = 22.69 pounds, and the y-component is 50 sin(61°) = 41.06 pounds.

To find the x and y components of the resultant force, we add the corresponding components of the two forces. The x-component of the resultant force is 34.48 + 22.69 = 57.17 pounds, and the y-component is 82.73 + 41.06 = 123.79 pounds.

Using the Pythagorean theorem, we can find the magnitude of the resultant force as the square root of the sum of the squares of its x and y components. Thus, the magnitude of the resultant force is sqrt(57.17^2 + 123.79^2) = 135.83 pounds (rounded to the nearest hundredth).

To find the direction angle of the resultant force, we can use trigonometry. The direction angle is the arctan of the y-component divided by the x-component, but we need to adjust for the appropriate quadrant.

Thus, the direction angle is arctan(123.79/57.17) + 180° = 67.7° (rounded to the nearest tenth of a degree), where we add 180° to account for the fact that the resultant force is in the third quadrant.

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Answer:

.

Step-by-step explanation:

https://byjus.com/maths/rational-and-irrational-numbers/

check it bro

The statement that is true about Scientific process and method is the scientific process is a continuous process of collecting data and refining hypothesis.  

Studies and researches are done by a scientific method which follows certain standards and protocols. The method starts with an observation, a question is asked why it happens and formulating a hypothesis. Either we can do a controlled experiment to test whether the hypothesis is correct or not, or we can do a non-experimental hypothesis, where experimenting will not be ethical.

The scientific process is a continuous process, which need to be collecting data and refining hypothesis. Even our data support hypothesis, the data might not be true in some cases. So work on a scientific concept is never complete. Even if we have data on causes and effects of a natural phenomena, we could not necessarily predict it every time, example: earthquake. Also, while collecting data, we should be fair in its treatment. We can't take data that only support our hypothesis.

So, the correct statement is option c. Scientific process is a continuous process of collecting data and refining hypotheses.

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Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

">" makes each inequality statement true. since -19 > -20

Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than."

Given three inequalities symbols>, <, and = and we need to compare -19 and -20 as per the problem. Hence -19 > -20

Therefore, Each inequality assertion is true when ">" is used. since -19 > -20

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Answer:

See below

Step-by-step explanation:

Next step is to gather 'like' terms

-x2 - 4x -3 = 2x + 5.

x^2 + (4x + 2x)   + (3+5)    = 0       then simplify

x^2 + 6x + 8     = 0        then factor

(x+4)(x+2) = 0  

so either of these terms = 0

x+4 = 0    means   x = -4

x+ 2 = 0 means  x = - 2          

Answer:

d

Step-by-step explanation:

Combine like terms onto one side of the equation.

\(\huge \bf༆ Answer ༄\)

Question 4 : Perimeter of squash field ~

English sentence :

Length of the field is 4 times y and Width of the field is (x + 1), and hence it's perimeter is 2 times the sum of Length and Width.

Question 5 : Area of Beans field ~ [ Length × Width ]

or, after further simplification :

Question 6 : Volume of the cuboid is [ L × W × H ]

So, The volume will be Length (xy + 1) times Width (xy + 5) times height (x + 3)

that is ~

The solution to all the questions about rectangles are;

4) Perimeter of the Squash field is 2 times the sum of it's Length and Width.

5) A = x²y² + 6xy + 5

6) V = x³y² + 6x²y + 5x + 3x²y² + 18xy + 15

4) We can see the squash field is rectangular and the dimensions are;

Length; L = x + 1

Width; w = 4y

Formula for perimeter of a rectangle is;

P = 2(L + w)

P = 2((x + 1) + 4y)

In English sentence, we can say that;

Perimeter of the Squash field is 2 times the sum of it's Length and Width.

5) The beans field is rectangular and its' dimensions are;

Length; L = xy + 5

Width; w = xy + 1

Area of rectangular Beans field;

A = Length × Width

A = (xy + 5) * (xy + 1)

A = x²y² + 6xy + 5

6) Formula for volume of the cube formed by the height will be;

V = L * w * h

since h = (x + 3)

Thus, volume is;

V = (xy + 5) * (xy + 1) * (x + 3)

V = x³y² + 6x²y + 5x + 3x²y² + 18xy + 15

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Answer:

A. Right triangle

Step-by-step explanation:

For problems like this, make use of the Pythagorean Theorem to determine which triangle can be formed.

Thus, there are always 3 sides in a ∆, as we've been given in the question above. The following rule can be use to find out which triangle can be formed:

1. If a² + b² = c², a right triangle is formed.

2. If a² + b² > c², an acute triangle is formed.

3. If a² + b² < c², an obtuse triangle is formed.

Where, c is always the longest side, while a and b are the 2 other shorter side lengths compared to c.

From the question given,

a = 24

b = 45, while

c = 51

Let's find out which of the 3 rules this side lengths fit in, to determine the triangle they form.

24² + 45² ? 51²

576 + 2025 ? 2601

2601 = 2601 (this fits into rule 1 stated above)

Therefore, the side lengths given in the question would form a right triangle.

Answer:

Will has $216, Luke has $72, and Jack has $27

Step-by-step explanation:

Let's form some equations.

Let W represent the amount of money that Will has

Let L represent the amount that Luke has

and Let J represent the amount that Jack has

L+W+J= $315

W=3L

L=2J+18

If we input the value of L into Will's equation, it will look like this:(replace the value of L with the equation representing L)

W=3(2J+18)

Now lets input these equations into the first equation, which will then look like this:

(2J+18)+3(2J+18)+J=315

Now that we only have one variable in the equation, we can simplify it to get

9J+72=315

and when we solve for J, we get:

J=27

we then input the value of J into the equation used to find the amount that Luke has:

L=2J+18

L=2(27)+18 to get

L= 72

and now we solve Will's equation:

W=3L

W=3(72)

W=216

So Will has $216, Luke has $72, and Jack has $27

if we add these up, we get a total of $315

There are different ways to approach this question, but one possible method is to conduct a one-sample t-test using the formula t = (M - μ) / (s / sqrt(n)), where M is the sample mean, μ is the population mean (null hypothesis), s is the sample standard deviation, and n is the sample size. With the given information, the t-value is (1.6 - 0) / (0.8 / sqrt(16)) = 8.

The degrees of freedom is n - 1 = 15. Using a t-table or a calculator, the p-value for a one-tailed test with 15 degrees of freedom and a t-value of 8 is much smaller than .05 (e.g., < .0005). Therefore, we can reject the null hypothesis and conclude that women find a sense of humor to be important in a long-term relationship at a .05 level of significance. The correct answer is b.

Test 2 is associated with smaller critical values. The critical values for a t-test depend on the level of significance, the degrees of freedom, and whether the test is one-tailed or two-tailed. In general, a smaller level of significance or a larger sample size leads to smaller critical values (i.e., it becomes easier to reject the null hypothesis). Since Test 2 has a larger sample size than Test 1, it is more likely to detect a significant effect (i.e., have a smaller Type II error rate), and therefore requires smaller critical values to achieve a .05 level of significance. The correct answer is b.

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Answer:

Break even 126 units

105x - (90x + 1890)  Profits will be revenue minutes expenses.

The second answer.

Step-by-step explanation:

105x = 90x +1890  Subtract 90x from both sides

15x = 1890  Divide both sides by 15

x 126

They need to sell 126 units to break even.

105(91) -[90(91) + 1890]

9555-8190-1890

9555 - 16380

-6825

Selling 91 units will produce a loss of 6825

Therefore, the volume is increasing at a rate of about 56548.19 mm³/s when the diameter is 60 mm.

We are given that the radius of a sphere is increasing at a rate of 5 mm/s.

We need to find how fast the volume is increasing when the diameter is 60 mm using the formula

V = (4/3)πr³

where r is the radius of the sphere.

We know that diameter is twice the radius so,

r = d/2 = 60/2 = 30 mm

Differentiating the formula V = (4/3)πr³ using Chain Rule, we get

dV/dt = 4πr² (dr/dt)

Put the values, we get

dV/dt = 4π(30)² (5)

dV/dt = 18000π mm³/s

dV/dt ≈ 56548.19 mm³/s (rounded to two decimal places)

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Answer:

it means that the speed of water was constant

Y = 32.0⁰ or 32⁰ in the nearest tenth

Step by step explanation:

sin y = 9 = 0.53

17

y = arcsin 0.53 = 32.0⁰ = 32 ⁰

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Answer:

y = 32.0°

Step-by-step explanation:

As the given triangle is a right triangle, use trigonometric ratios to solve.

Trigonometric ratios

\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)

where:

From inspection of the triangle:

Therefore, use the sine trigonometric ratio to find y:

\(\implies \sin y = \dfrac{9}{17}\)

\(\implies y=\sin^{-1} \left( \dfrac{9}{17} \right)\)

\(\implies y = 31.96571875...^{\circ}\)

\(\implies y=32.0\:\:\sf(nearest\:tenth)\)

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When no undergraduate students, graduate students, or faculty members are employed, 520 interviews are allowed.

Term definitions for faculty. a teacher who holds a position at a college or university. the words "academic" and "academician" It does, and it depends on the situation. A group of employees can be referred to as a "faculty" and the plural form is "faculties." I am a faculty member in the school of medicine. A faculty member of the School of Mathematics is my colleague. Educators, lecturers, researchers, scholars, and professors of various academic positions, such as associate professor, assistant professor, and so forth, make up a faculty. As previously mentioned, there are three levels of faculty rank: assistant, associate, and full professor.

Let xi represent the undergraduate​ students, graduate​ students and faculty  students.

The maximum interview, \(P=18x_{1} +25x_{2} +30x_{3}\)

Subject to \(x_{1} +x_{2} +x_{3}\)≤20

\(100x_{1} +150x_{2} +200x_{3}\)≤3200

With \(x_{1},x_{2} ,x_{3}\)≥0

\(P_{max}=520\)  when \(x_{1} =0\), \(x_{2} = 16\), \(x_{3} = 4\)

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The maximum distance Frank can travel would be 10 miles.

What is maximum distance?

For maximum distance that is maximum range of a projectile, the angle of projectile should be 45°.

From given question,

taxicabs charge for first mile = $1.00

for each additional mile = $0.30

The cost for the first mile is $1, and for each additional mile it's $0.30, so for 10 miles it would be $1 + 9 * $0.30 = $4.70. Since Frank has only $3.50, he can travel a maximum of 10 miles.

Therefore, The maximum distance Frank can travel would be 10 miles.

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(a) To use the chain rule, we need to find the partial derivatives of w with respect to u and v, the partial derivatives of w with respect to x, y, and z. The answer is , \(∂z/∂x = x / sqrt(1 - x2 - y2)\) and \(∂z/∂y = y / sqrt(1 - x2 - y2).\)

Using the chain rule, we have:

\(∂w/∂x = ∂w/∂xyz * ∂xyz/∂x\)

\(= e^xyz * (zy) * (3u+v)\)

\(∂w/∂y = ∂w/∂xyz * ∂xyz/∂y\)

\(= e^xyz * (xz) * (3u-v)\)

\(∂w/∂z = ∂w/∂xyz * ∂xyz/∂z\)

\(= e^xyz * (xy) * (2yv)\)

To find \(∂w/∂u\), we use the chain rule again:

\(∂w/∂u = ∂w/∂x * ∂x/∂u + ∂w/∂y * ∂y/∂u + ∂w/∂z * ∂z/∂u\)

\(= e^xyz * (zy) * 3 + e^xyz * (xz) * 3 + e^xyz * (xy) * (2y(2u-v))\)

\(= 3e^xyz * (zy + xz + 2xy(yu - yv))\)

To find ∂w/∂v, we use the chain rule again:

\(∂w/∂v = ∂w/∂x * ∂x/∂v + ∂w/∂y * ∂y/∂v + ∂w/∂z * ∂z/∂v\)

\(= e^xyz * (zy) + e^xyz * (-xz) * 3 + e^xyz * (xy) * (2y(y2-v2))\)

\(= e^xyz * (zy - 3xz + 2xyy2 - 2xyv2)\)

(b) We are given that \(x2+y2+z2=1\), which means that \(z = sqrt(1 - x2 - y2)\). Using the chain rule, we can find the partial derivatives of z with respect to x and y:

\(∂z/∂x = (-1/2) * (1 - x2 - y2)^(-1/2) * (-2x) = x / sqrt(1 - x2 - y2)\)

\(∂z/∂y = (-1/2) * (1 - x2 - y2)^(-1/2) * (-2y) = y / sqrt(1 - x2 - y2)\)

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The five elements to be assessed during sample selection in audit sampling are Sapmlinf Frame, Sample Size, Sampling Method, Sampling Interval, Sampling Risk.

1. Sampling Frame: The sampling frame is the list or source from which the sample will be selected. It is important to ensure that the sampling frame represents the entire population accurately and includes all relevant elements.

2. Sample Size: Determining the appropriate sample size is crucial to ensure the sample is representative of the population and provides sufficient evidence for drawing conclusions. Factors such as desired confidence level, acceptable level of risk, and variability within the population influence the determination of the sample size.

3. Sampling Method: There are various sampling methods available, including random sampling, stratified sampling, and systematic sampling. The chosen sampling method should be appropriate for the objectives of the audit and the characteristics of the population.

4. Sampling Interval: In certain sampling methods, such as systematic sampling, a sampling interval is used to select elements from the population. The sampling interval is determined by dividing the population size by the desired sample size and helps ensure randomization in the selection process.

5. Sampling Risk: Sampling risk refers to the risk that the conclusions drawn from the sample may not be representative of the entire population. It is important to assess and control sampling risk by considering factors such as the desired level of confidence, allowable risk of incorrect conclusions, and the precision required in the audit results.

During the sample selection process, auditors need to carefully consider these elements to ensure that the selected sample accurately represents the population and provides reliable results. By assessing and addressing these elements, auditors can enhance the effectiveness and efficiency of the audit sampling process, allowing for meaningful generalizations about the population.

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Answer:

m=-2 its just -2

Step-by-step explanation:

Answer:

Using the slope-intercept form, the slope is −2 .

Step-by-step explanation:

Answer:

x = (y+1/4)/5

Step-by-step explanation:

graph{y=5x-1/4 [-10, 10, -5, 5]}

By finding the vertical and horizontal asymptotes, you can use them to help find an expression for the rational function

To find an expression for a rational function given a vertical asymptote and a horizontal asymptote, start by recognizing that the general form of a rational function is f(x) = (ax + b)/(cx + d), where a, b, c, and d are all constants.

Next, use the given information to solve for a, b, c, and d in the equation. The vertical asymptote represents the x-values at which the denominator of the equation equals zero, so set cx + d equal to zero and solve for x. Similarly, the horizontal asymptote can be found by setting ax + b equal to the asymptote’s y-value.

Once both equations are solved for x, substitute the x-values back into the equation for the rational function and solve for the corresponding a, b, c, and d values.

A vertical asymptote occurs when the denominator of the rational function is equal to zero, so you can set the denominator equal to zero and solve for the variable to find the vertical asymptote.

A horizontal asymptote occurs when the degree of the numerator and denominator are equal, so you can look at the leading coefficients of the numerator and denominator to find the horizontal asymptote.

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