What is the leg opposite

Answer:

x = 76.58°

Step-by-step explanation:

hyp = 13.41

tan = opp/adj

tan = 1/2 = 26.57

x = 76.58

Answer:

459

Step-by-step explanation:

15×15×2+10-1

15×15= 225 × 2 +10 - 1

225 × 2= 450 + 10 -1

450 + 10 = 460 - 1

460 - 1 = 459

A little true story:

A five your old boy (little boy blue( was out with is siblings when he fell over a bridge and passed away. Now at the very same river he passed all you have to do is go up there turn off your lights and put baby powder all over you car and sit and wait. Soon enough you will see a little blue light and than little hand prints on your car.

The polynomial with a GCF of 5z is 5z * (x  + 1) and the equivalent form is 5xz + 5z and 5xz + 4z + z

From the question, we have the GCF of the polynomial to be:

GCF = 5z

So, we represent the polynomial as follows:

Polynomial = GCF * Other factor

Substitute the known values in the above equation

Polynomial = 5z * Other factor

Let the other factor be x + 1

So, we have:

Polynomial = 5z * (x  + 1)

Expand the polynomial

Polynomial = 5xz + 5z

Hence, the polynomial with a GCF of 5z is 5z * (x  + 1) and the equivalent form is 5xz + 5z and 5xz + 4z + z

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Answer:

Step-by-step explanation:

To find an exponential regression equation for this set of data, we can use a calculator or spreadsheet software with built-in regression functions. Using a calculator, we can input the data points into lists and use the exponential regression function to find the equation:

x y

0 1353

1 1584

2 2037

3 2248

4 2630

5 3146

Using exponential regression, we get the equation y = 1323.119e^(0.216x).

To determine the number of bacteria present after 14 hours, we can plug in x = 14 into the equation:

y = 1323.119e^(0.216 * 14) ≈ 35433

Therefore, the number of bacteria present after 14 hours is approximately 35,433 (rounded to the nearest whole number).

True. The variance and standard deviation both quantify how far spaced apart a set of data is from the mean. They cannot be used to calculate the dispersion around the median or mode, or any other center-of-mass metric.

The variance and standard deviation both quantify how far spaced apart a set of data is from the mean. They can therefore be used to calculate the difference between the highest and lowest values in a data set. The standard deviation, which is the square root of the variance, is used to calculate how far away from the mean each result is on average. The average of the squared deviations between each data point and the mean is the variance. The variance and standard deviation cannot be used to quantify the dispersion of data around other measures of center, such as the median or mode, because they only measure the dispersion of data around the mean.

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Answer:

RQ = 7.4

Step-by-step explanation:

From the right triangle PQR,

m∠Q = 90°

m∠P = 55°

Hypotenuse PR = 9

By applying sine rule in the given triangle,

Sin(55°) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

0.819152 = \(\frac{\text{RQ}}{\text{PR}}\)

0.819152 = \(\frac{RQ}{9}\)

RQ = 9×0.819152

RQ = 7.37

     ≈ 7.4

The probability of producing at least 232,000 barrels is 0.5.

The standard normal distribution table, also known as the z-table, is a table that provides the probabilities for a standard normal distribution, which has a mean of 0 and a standard deviation of 1.

The table lists the probabilities for values of the standard normal distribution between -3.49 and 3.49, in increments of 0.01.

Here we have

Daily output of marathon's garyville, louisiana, refinery is normally distributed with a mean of 232,000 barrels of crude oil per day with a standard deviation of 7,000 barrels.

Since the daily output of the refinery is normally distributed,

we can use the standard normal distribution to calculate the probability of producing at least 232,000 barrels.

First, we need to standardize the value using the formula:

=> z = (x - μ) /σ

where:

x = value we want to calculate the probability for (232,000 barrels)

μ = mean (232,000 barrels)

σ = standard deviation (7,000 barrels)

=> z = (232000 - 232000) / 7000 = 0

Next, we look up the probability of producing at least 0 standard deviations from the mean in the standard normal distribution table.

This value is 0.5.

Therefore,

The probability of producing at least 232,000 barrels is 0.5.

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No, the three lines 2x1 − 4x2 = 8, 4x1 + 6x2 = −40, and −2x1 − 10x2 = 48 do not have a common point of intersection. They form a system of linear equations that is inconsistent.

To determine if the three lines have a common point of intersection, we need to check if there is a solution to the system of linear equations. We can rewrite the system of equations in matrix form as:

| 2  -4 |   | x1 |   |  8 |

| 4   6 | * | x2 | = | -40 |

|-2 -10 |   | x3 |   |  48 |

If we attempt to solve this system using Gaussian elimination or any other method, we will find that it leads to an inconsistent system, meaning there is no solution that satisfies all three equations simultaneously.

This can be seen by examining the matrix formed by the coefficients of the variables. The second row is a linear combination of the first row, and the third row is a multiple of the first row. Inconsistent systems occur when the rows of the coefficient matrix are linearly dependent or when one row is a multiple of another.

Therefore, the given system of equations does not have a common point of intersection.

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Answer:

it would have to be 5:30 if not then 5:00 but i really think it is 5:30

Step-by-step explanation:

it has the small hand behind the 6 and the big hand at 6 so the would be 30 minutes so for that reason i say 5:30

The correct response is D. a segment of a line that goes on forever in one direction from one terminal.

A line is a one-dimensional, perfectly straight shape that extends forever and is infinitely thin in both directions. A line may be referred to as a straight line or, more formally, a right line (Casey 1893), to stress that there are no "wiggles" throughout its entire length. When two points are connected with the smallest possible distance between them and both ends stretched to infinity, a line is the shape that results. Despite the fact that lines don't have a clear beginning or finish, they are represented in our daily lives by things like railroad tracks and freeways. Any section of a line with two fixed endpoints is referred to as a line. Line segments make up a line.

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Answer:

\(adjacent = \sqrt{ {50}^{2} - {14}^{2} } = 48 \\ \\ \sin(Q) = \frac{14}{50} = \frac{7}{25} \\ \cos(Q) = \frac{48}{50} = \frac{24}{25} \\ \tan(Q) = \frac{14}{48} = \frac{7}{24} \)

\( \sin(R) = \frac{48}{50} = \frac{24}{25} \\ \cos(R) = \frac{14}{50} = \frac{7}{25} \\ \tan(R) = \frac{48}{14} = \frac{24}{7} \)

Base

Now

Answer:

2^x = 2*2*2*2*2

2^X = 2^5

x=5

Step-by-step explanation:

A supplement of an angle is six times as large as a complement of the angle. the measure of the angle is 72°.

To find the measure of the angle, we can use the concept of the supplementary angle and the complementary angle. So, Let's consider the angle as "x"∴ Complement of the angle = 90° - x Supplement of the angle = 180° - x According to the given statement,180° - x = 6(90° - x) ⇒ 180° - x = 540° - 6x⇒ 5x = 540° - 180°⇒ 5x = 360°⇒ x = 360°/5⇒ x = 72°.

We are given that, a supplement of an angle is six times as large as a complement of the angle. We need to find the measure of the angle. Let's consider the angle as "x".∴ Complement of the angle = 90° - x Supplement of the angle = 180° - x According to the given statement, we can write,180° - x = 6(90° - x)⇒ 180° - x = 540° - 6x.

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Answer:

Step-by-step explanation:

I think is x-1

It is because you need to find f(1) and the formula of x-1 when x is greater and equal to 1.

Answer:

Step-by-step explanation:

G is the centeroid of the triangle. G splits AE in the ratio 2 : 1

AG : GE = 2 : 1

AG = 2x  and GE = x

2x = 20

x = 20/2

x = 10

GE = 10 ; AG = 20

AE = 20+10 = 30

CG : GD = 2:1

CG = 2x  and GD = x

2x = 10

x = 10/2

x = 5

GD = 5

BF = 30

BG : GF = 2 : 1

BG = 2x  ; GF = x

BF = 30

BG + GF = 30

2x + x = 30

3x = 30

x = 30/3

x = 10

GF = 10

The proportion of cranberries required for the muffins is 4 pounds x 16 ounces/pound = 64 ounces of cranberries. Therefore, to make the muffins for the party, you will need 64 ounces of cranberries.

To calculate the amount of cranberries needed for the muffins at a party of 12 people, making 11/2-ounce muffins and assuming each person will have three muffins, we need to convert the measurements and quantities.

Given that each muffin weighs 11/2 ounces, and each person will have three muffins, we can calculate the total weight of muffins needed. 11/2 ounces is equivalent to 1.5 ounces, so each person will consume 1.5 ounces x 3 muffins = 4.5 ounces of muffins.

For a party of 12 people, the total amount of muffins required is 4.5 ounces/person x 12 people = 54 ounces of muffins.

Now, to determine the amount of cranberries needed for the muffins, we need to consider the recipe's proportion. The recipe makes 15 pounds of dough and calls for 4 pounds of cranberries. To convert pounds to ounces, we know that 1 pound is equal to 16 ounces.

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Answer:

The correct option is (D) \(y=\frac{4}{7}\ x+\frac{1}{7}\).

Step-by-step explanation:

The two-point form for the equation of straight line is:

\((y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})\)

The two points provided are:

A = (5, 3)

B = (12, 7)

Compute the equation of the trend line as follows:

\((y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})\\\\(y-3)=\frac{7-3}{12-5}\ (x-5)\\\\(y-3)=\frac{4}{7}\ (x-5)\\\\y-3=\frac{4}{7}\ x-\frac{20}{7} \\\\y=\frac{4}{7}\ x-\frac{20}{7}+3\\\\y=\frac{4}{7}\ x+\frac{-20+21}{7}\\\\y=\frac{4}{7}\ x+\frac{1}{7}\)

Thus, the equation of the trend line is \(y=\frac{4}{7}\ x+\frac{1}{7}\).

The correct option is (D).

Answer:

D

Step-by-step explanation:

The value of the missing length is c = √181

From the question, we have the following parameters that can be used in our computation:

Legs = 9 and 10

Hypotenuse = c

The missing length of the triangle can be calculated using the Pythagorean Theorem represented as a​² + b² = c²​

So, we have the following equation

c² = 9² + 10²

Evaluate the sum of squares

c² = 181

Take the square root of both sides

c = √181

Hence, the missing length is c = √181

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Answer: Hard to say... Your image is a black Screen.

Answer:

what am i anwsering

Step-by-step explanation:

In general, the area of a rectangle is given by the formula below

where l is its length and w its width.

Furthermore,

Solving the system of equations,

Use the quadratic formula to find w, as shown below,

Since w is a length, it cannot be negative; therefore, w=4

Finding l,

The length is 6in and the width is 4in.

Answer:

-0.025

Step-by-step explanation:

Answer:

the original number is 7

Step-by-step explanation:

7•4 = 28

28+12=40

Answer:

. hope that will help you

If A and B are independent, then the correct statements are P(A and B) = 0.12 and P(A or B) = 0.58.

Let's evaluate each statement:

P(B/A) = 0.4:

This statement is incorrect. If events A and B are independent, the occurrence of event A does not affect the probability of event B.

Therefore, P(B/A) would still be equal to the probability of B, which is 0.4 in this case.

P(A and B) = 0.12:

This statement is correct. The probability of the intersection of independent events A and B is calculated by multiplying their individual probabilities. In this case, P(A and B) = P(A) * P(B) = 0.3 * 0.4 = 0.12.

P(A/B) = 0.3:

This statement is incorrect. If events A and B are independent, the occurrence of event B does not affect the probability of event A. Therefore, P(A/B) would still be equal to the probability of A, which is 0.3 in this case.

P(A or B) = 0.58:

This statement is incorrect. To calculate the probability of the union of two events, we need to consider whether the events are mutually exclusive or not.

If events A and B are independent, but not mutually exclusive, we can calculate P(A or B) as P(A) + P(B) - P(A and B). In this case, P(A or B) = 0.3 + 0.4 - 0.12 = 0.58.

Therefore, the correct statements are:

The statements regarding P(B/A) = 0.4 and P(A/B) = 0.3 are incorrect in the context of independent events A and B.

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Answer:

\(\huge\boxed{\sqrt{(125^2)^{-\frac{1}{3}}}=\dfrac{1}{5}}\)

Step-by-step explanation:

\(\sqrt{(125^2)^{-\frac{1}{3}}}\qquad\text{use}\ (a^n)^m=(a^m)^n\\\\=\sqrt{\left(125^{-\frac{1}{3}\right)^2}\qquad\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=125^{-\frac{1}{3}}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{125^\frac{1}{3}}\qquad\text{use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\dfrac{1}{\sqrt[3]{125}}=\dfrac{1}{5}\qquad\text{because}\ 5^3=125\)

To solve the equation and find the radius, we need to rewrite it in the form of a circle equation, which is (x - h)² + (y - k)² = r², where (h, k) represents the center of the circle and r represents the radius.

Given equation: x² + y² + 2x - 10y + 8 = 8y - 46

To rewrite the equation in the form (x - h)² + (y - k)² = r², we complete the square for both the x and y terms:

\(\sf\:(x^2 + 2x) + (y^2 + 10y) = 8y - 46 - 8 \\\)

Completing the square for x terms:

\(\sf\:x^2 + 2x = (x + 1)^2 - 1 \\\)

Completing the square for y terms:

\(\sf\:y^2 + 10y = (y + 5)^2 - 25 \\\)

Substituting the completed square forms into the equation:

\(\sf\:(x + 1)^2 - 1 + (y + 5)^2 - 25 + 8 = 8y - 46 - 8 \\\)

Simplifying the equation:

\(\sf\:(x + 1)^2 + (y + 5)^2 = 8y - 46 - 8 + 1 + 25 - 8 \\\)

\(\sf\:(x + 1)^2 + (y + 5)^2 = 8y - 36 \\\)

Now we can see that the equation is in the form of (x - h)² + (y - k)² = r², where h = -1, k = -5, and r² = 8y - 36. Therefore, the radius is \(\sf\:\sqrt{8y - 36} \\\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The correct answer is option C. A sampling plan refers to a detailed strategy for obtaining a sample from a population for the purpose of data collection.

It describes the precise procedures needed to choose the sample, determine the members of the sample, and gather the data.

The sampling strategy should take into account the type of sampling design, sample size, sampling process, and the methods to be employed for data collecting.

The strategy for implementing sampling should be outlined in the plan, along with instructions on how to make sure the sample is representative of the population, how to prevent bias in the sampling process, and how to make sure the data gathered is of high quality.

A good sampling plan should provide a clear and consistent method for gathering data and be founded on basic statistical concepts.

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The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.

When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.

For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.

Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.

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