Write the word sentence as an equation. Then solve.

10 more than a number c is 3.

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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The first five terms of the sequence are 27, 22, 17, 12, and 7.

To find the first five terms of the sequence given by a₁=27 and d=-5,

we can use the formula for the nth term of an arithmetic sequence:

\(a_n=a_1+(n-1)d\)

Substituting the given values, we have:

\(a_n=27+(n-1)(-5)\)

Now, we can calculate the first five terms of the sequence by substituting the values of n from 1 to 5:

\(a_1=27+(1-1)(-5)=27\)

\(a_1=27+(2-1)(-5)=22\)

\(a_1=27+(3-1)(-5)=17\)

\(a_1=27+(4-1)(-5)=12\)

\(a_1=27+(5-1)(-5)=7\)

Therefore, the first five terms of the sequence are 27, 22, 17, 12, and 7.

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Answer:

A

Step-by-step explanation:

To know the distance between the two on a number line, we subtract both numbers from each other

Since the absolute value will give the same result irrespective of the number we used first, we can see that it is the first option that would give the needed results

This means that option A is our answer

Answer:

Hange-san is a big fan of you :) She wants you to help her with her titan experiments! :)

Step-by-step explanation:

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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Answer:

no

Step-by-step explanation:

cause she will need (4 x 2) X 30

The symbols x, y, and z are examples of variables in an instruction like z = x + y.

A variable is a term that signifies anything that can be varied or altered. In programming, variables are utilized to hold values that might be modified and used in later code.

A variable is a name that identifies a memory location where data is stored. It can be changed anytime. Variables are commonly used in mathematical expressions, such as those seen in algebra. For example, x + 150 = 300In this instance, x is the variable. 150 and 300 are constants.

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The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).

In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.

In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:

M(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given parameters into the formula for line ratio, we have;

M(x, y) = [(5(2) + 4(-6))/(5 + 4)],  [(5(-11) + 4(-2))/(5 + 4)]

M(x, y) = [(10 - 24)/(9)],  [(-55 - 8)/9]

M(x, y) = [-14/9],  [(-63)/9]

M(x, y) = (-1.6, -7)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The SQL aggregate function that gives the arithmetic mean for a specific column is `AVG()`.

SQL (Structured Query Language) aggregate functions are functions that operate on a set of values and return a single value as a result. These functions are used in SQL queries to perform calculations on groups of rows in a database table.

There are several common aggregate functions in SQL, including:

1. `COUNT()` - returns the number of rows in a table or the number of non-null values in a specific column.

2. `SUM()` - calculates the sum of values in a specified column.

3. `AVG()` - calculates the average value of values in a specified column.

4. `MAX()` - returns the maximum value in a specified column.

5. `MIN()` - returns the minimum value in a specified column.

Aggregate functions are typically used with the `GROUP BY` clause in SQL queries to group the data based on one or more columns and then apply the aggregate function to each group.

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The SQL aggregate function for calculating the arithmetic mean of a specific column is AVG.

The SQL aggregate function that gives the arithmetic mean for a specific column is AVG.

For example, if you have a table called 'students' with a column called 'grades', you can use the AVG function in SQL to calculate the average grade:

SELECT AVG(grades) FROM students;

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It will take approximately 7.85 hours to fill the pool.

To determine the time needed to fill the pool, first calculate the volume of the pool, then convert the volume to gallons, and finally, divide by the fill rate.

The pool is a cylinder with a radius of 10 ft and a height of 4 ft. The volume of a cylinder is given by the formula V = πr²h.

V = π(10 ft)²(4 ft) = 400π cubic feet ≈ 1256.64 cubic feet

Next, convert the volume to gallons using the given conversion factor:

1256.64 cubic feet * 7.5 gallons/cubic foot ≈ 9424.8 gallons

Now, divide the total gallons by the fill rate of 20 gallons/minute to find the time in minutes:

9424.8 gallons ÷ 20 gallons/minute ≈ 471.24 minutes

Finally, convert the time to hours:

471.24 minutes ÷ 60 minutes/hour ≈ 7.85 hours

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P(B∣A) is approximately 0.22 when rounded to two decimal places.

To calculate P(B∣A), we can use the formula for conditional probability:

P(B∣A)= P(A∩B)/P(A)

Given that P(A)=0.45, P(B)=0.3, and P(A∩B)=0.1, we can substitute these values into the formula to find P(B∣A):   P(B∣A)=0.1/0.45

Calculating the value: P(B∣A)=9/2 ≈0.22

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None of them.To determine which case provides the biggest torque about the rotation axis, we need to consider the factors that affect torque.

Torque is calculated as the product of the magnitude of the applied force and the perpendicular distance from the force to the rotation axis. In other words, torque = force * lever arm.

Given that the magnitude of the applied force is the same for all cases, we only need to consider the lever arm or the perpendicular distance.

Among the options provided (F1, F2, F3, F4), the case with the biggest torque will be the one with the largest lever arm or the greatest perpendicular distance from the fraction force to the rotation axis.

we cannot determine which one has the largest lever arm or the biggest torque.

Therefore, the answer is: None of them.

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The sum of two draws from a box containing 11 tickets labeled 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 is equivalent to the sum of two dice rolls, as the outcomes are not equally likely

What are dice rolls?

Dice rolls are a random event used in various games and activities. A dice typically has six sides, each side marked with a different number of , ranging from 1 to 6. To roll a dice, the player tosses it in the air, causing it to spin and land on a random side.

Dice rolls are often used in games of chance, such in role-playing games, where they are used to determine the outcome of actions or events. They are also used in probability theory, where the probability of a certain outcome can be calculated based on the number of sides on the dice and the number of times it is rolled.

The sum of two dice that are independently rolled and the sum of two draws from a box containing six tickets labeled 1, 2, 3, 4, 5, 6 are indeed equivalent. This is because there are 36 possible outcomes when rolling two dice, and each outcome is equally likely. The sum of the two dice can range from 2 (when both dice show a 1) to 12 (when both dice show a 6).

Similarly, when drawing two tickets from a box containing six tickets labeled 1, 2, 3, 4, 5, 6, there are 36 possible outcomes, with each outcome being equally likely. The sum of the two draws can range from 2 (when both draws yield a 1) to 12 (when both draws yield a 6).

However, if we use a box containing 11 tickets labeled 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, the outcomes will not be equally likely, and the sum of the two draws will not be the same as the sum of two dice rolls. For example, there is only one way to get a sum of 2 with two dice (rolling two 1s), but there are two ways to get a sum of 2 when drawing from the box (drawing a 1 and a 1 or drawing a 2 and a 0).

Therefore, we cannot say that the sum of two draws from a box containing 11 tickets labeled 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 is equivalent to the sum of two dice rolls, as the outcomes are not equally likely.

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Answer:

\(p = \frac{3}{4}\)

Step-by-step explanation:

If we roll two number cubes we can summarize the results of products in the following table (Check table in the attachment)

According to table of product:

we roll two numbers with an even product  in 27 cases out of a total of 36 result.

 Then The probability of rolling two numbers where their product is an even number is :

27/36 = 3/4

the measure of the smallest exterior angle is 13. 846 degrees

It is important to note that the sum of the exterior angles of a polygon is expressed with the formula;

Sum of exterior angles = 360

Note that are hexagon is defined as a polygon with 6 sides and six vertices.

Now, substitute the measure of the angles

x + 2x + 6x + 8x + 9x = 360

collect the like terms, we have;

26x = 360

Divide both sides by the coefficient of x, we have;

26x/26 = 360/x

x = 13. 846 degrees

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Answer:

z=3

Step-by-step explanation:

Distribute: 4z-8=4

Add 8: 4z=12

z=3

Answer:

C. )Benjamin Franklin

Step-by-step explanation:

Who's picture is on the 100 dollar bill?

A. )George Washington

B. )Thomas Jefferson

C. )Benjamin Franklin

D. )Abraham Lincoln

The critical value zα/2 for a level of confidence of 92% can be found as follows: In general, the confidence interval for the population mean is given by:\($$\large\bar x \pm z_{\frac{\alpha }{2}}\frac{\sigma }{\sqrt{n}}$$\) Where, \(\(\bar x\)\) is the sample meanσ is the population standard deviation (if known) or the sample standard deviation is the sample size\(\(z_{\frac{\alpha }{2}}\)\)is the critical value that corresponds to the level of confidence α.

We need to find\(\(z_{\frac{\alpha }{2}}\)\) for a 92% confidence interval. The area in the tail of the normal distribution beyond zα/2\(zα/2\)  is equal to \((1 - α)/2\) . Thus, for a level of confidence of 92%, the area in the tail of the distribution beyond\(zα/2\)is\((1 - 0.92)/2 = 0.04/2 = 0.02\) .

Therefore, the critical value\(zα/2\) that corresponds to a 92% confidence interval is\(z0.04/2 = z0.02 = 1.75\) . Hence, we have\(:$$\large z_{\frac{\alpha }{2}}= z_{0.02} = 1.75$$\) Thus, the critical value \(zα/2\)  that corresponds to a confidence level of 92% is 1.75.

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The correct option is B. The length of arc AB of the circle C rounded to the nearest tenth is 15.7cm.

We shall use the formula:

arc length = (arc angle/360) × 2 × 22/7 × radius

where arc angle is measured in degrees and radius is the distance from the center of the circle to the point on the circle where the arc begins.

If BC = 10cm and is the radius, with the arc angle m ∠ACB = 90° then the arc length AB is derived as follows:

(90°/360°) × 2 × 22/7 × 10cm

90°/360° can be reduced to 1/4

1/4 × 2 × 22/7 × 10cm

By simplifying further, we have;

1 × 11/7 × 10cm

110cm/7

15.71cm

Therefore, the circle C have the arc length AB equal to 15.7cm rounded up to the nearest tenth.

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Answer:

missing length= 2.8

Step-by-step explanation:

a^2+b^2=c^2

a^2+1^2=3^2

a^2=3^2-1^2

a^2=8

a=2.8284271247461

a=2.8

Answer:

$8.8

Step-by-step explanation:

\(8*0.10=0.8\)

\(8+0.8=8.8\)

The percent that accurately reflects the white section in the circle is 38%. So, the correct option is A).

To find the percentage of the circle that is white, we need to divide the area of the white region by the area of the entire circle and multiply by 100.

Looking at the diagram, we can see that the white region takes up about 3/8 of the circle, or 37.5% (since 3/8 is equal to 0.375 or 37.5%). This is closest to answer choice A, which is 38%.

Therefore, the percent that accurately reflects the white section in the circle is 38%.

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Answer:

the answer is 1,203 because your finding the unit price.

Step-by-step explanation:

Answer:

the answer would be D

Step-by-step explanation:

Answer:

d)s

Step-by-step explanation:

Answer:

4.28

Step-by-step explanation:

To find what the length of AC is, we can use the tangent of angle A, which is 35°.  Here's the equation:

tan(35)=3/x

multiply both sides by x

x·tan(35)=3

divide both sides by the tangent of 35

x=4.28 (rounded to the nearest hundredth)

This means that AC=4.28

Hope this helps! :)

The air pressure inside a category five hurricane with a wind speed of 300 km/h can be estimated using Bernoulli's equation.the atmospheric pressure is 20.96 atmospheres,

Bernoulli's equation states that the pressure inside the hurricane is equal to the density of the air multiplied by the wind speed squared, divided by two.

In this case, the air pressure can be calculated to be 20.96 atmospheres.  density of the air can be taken to be 1.29 kg/m³ . This demonstrates that the air pressure inside a category 5 hurricane with a wind speed of 300 km/h is very high, which is why these storms are so destructive.

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Answer:

x=32

Step-by-step explanation:

Answer:

x= 32

Step-by-step explanation:

Remember all triangles sum up to 180 degrees.

Equation= 98+50+x=180

Step 1- Add to simplify

148+x= 180

Step 2- Subtract 148 to both sides.

148+x= 180

-148       148

x= 32