Find the length of BD in rectangle ABCD. a2 + b2 = c2 5 23 25 31

Answer:

Option: D

Step-by-step explanation:

To find the quotient of −219 and 3, we perform the division:

-73

_________

3 | -219

- 21

-----

9

The quotient of −219 and 3 is -73. Therefore, the correct answer is D: -73.

Answer:

B is not true

Step-by-step explanation:

Answer:

x^4

Step-by-step explanation:

The values of x that are not in the domain of the rational function are:

x = -2

x = -4

To find the values that are not in the domain, we need to find the values of x such that the denominator becomes zero.

The denominaot is:

x² + 6x + 8

This is 0 when:

x² + 6x + 8 = 0

x² + 2*3*x + 9 - 1 =0

(x + 3)² - 1 = 0

x = ±1 - 3

So the two values are:

x = +1 - 3 = -2

x = -1 - 3 = -4

These values are not in the domain.

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To answer this question, we need to have into account the formula for the volume of a cylinder. This formula is given by:

1. We have that pi is approximately equal to 3.1415926535...

2. The radius is half of the diameter. In this case, the diameter is 6 feet. Therefore, the radius is 3 feet.

3. The height of the storage tank (cylinder) is h = 10 feet.

Hence, we can plug all of these values into the formula, and we can get the value for the total volume of this cylinder:

Now, since the tank is half-filled with oil, we have that the oil, in cubic feet, in the cylindrical tank is half of the value of the previous value, that is:

Hence, the current volume of oil in the cylindrical tank is:

(Option C).

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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Answer:

a

Step-by-step explanation:

Answer:

simplified is -2

Step-by-step explanation:

......

Answer:

First one is 2^5 = 3x+5

Second is x = 2

Third one is x^3 = 64

last one is x = 4

w > -5 shows that w is greater than -5 and since 13 is greater than -5, hence the inequality expression w > -5 is true

We need to get the equation that is true for w to be 13. This means that the required inequality expression should be w must be a positive integer.

For the Expression -w - 3 > -5

-w > -5 + 3

-w > -2

w < 2

Since w is less than 2, hence the inequality is wrong

For the inequality

-w - 3 > 5

-w > 5 + 8

-w > 13

w < -13

Since w < -13, hence the inequality is wrong

For the inequality w > -5

It shows that w is greater than -5 and since 13 is greater than -5, hence the inequality expression w > -5 is true

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Therefore, The lie factor is a helpful tool to identify misleading graphs, but it should be used alongside critical thinking and contextual understanding.

The lie factor is a measure of how much a graph distorts the data it represents. It is calculated by dividing the size of the effect shown in the graph by the size of the effect in the data. A lie factor of 1 indicates no distortion, while a lie factor greater than 1 indicates distortion. In practice, the concept of a lie factor can be useful to identify misleading graphs that exaggerate or downplay the significance of the data. However, it should be used in conjunction with other critical thinking skills and contextual understanding to fully evaluate the accuracy and relevance of a graph's message.

Therefore, The lie factor is a helpful tool to identify misleading graphs, but it should be used alongside critical thinking and contextual understanding.

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a.) The line passing through (0, -1) and (2, 2) can be represented by the equation y = 1.5x - 1.

b.) i) The y-intercept is -1.

ii) The gradient of the line is 1.5.

a)To find the equation of the line passing through the points (0, -1) and (2, 2), we can use the point-slope form of a linear equation:

y - y₁ = m(x - x₁)

where (x₁, y₁) are the coordinates of one point on the line, m is the slope of the line, and (x, y) are the coordinates of any other point on the line.

Let's use the point (0, -1) as (x₁, y₁) and the slope we previously calculated, which is 1.5.

Substituting the values into the point-slope form equation:

y - (-1) = 1.5(x - 0)

Simplifying:

y + 1 = 1.5x

Rearranging the equation to the slope-intercept form (y = mx + b) by isolating y:

y = 1.5x - 1

Therefore, the equation of the line passing through the points (0, -1) and (2, 2) is y = 1.5x - 1.

After plotting both points, we can draw a line connecting them.

b) Determining the y-intercept and gradient from the graph:

i) Y-intercept:

The y-intercept is the point at which the line crosses or intersects the y-axis. By looking at the graph, we can observe that the line intersects the y-axis at the point (0, -1). Therefore, the y-intercept is -1.

ii) Gradient:

The gradient, also known as the slope, represents the change in y divided by the change in x. It indicates the steepness of the line. To determine the gradient from the graph, we can calculate the ratio of the vertical change (change in y) to the horizontal change (change in x) between the two points we plotted.

Vertical change (change in y) = 2 - (-1) = 3

Horizontal change (change in x) = 2 - 0 = 2

Gradient = (change in y) / (change in x) = 3 / 2 = 1.5

Therefore, from the graph, we find that:

i) The y-intercept is -1.

ii) The gradient of the line is 1.5.

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Note the correct and the complete question is

Q- 1). a). Plot the points (0, -1) and (2, 2) on graph paper.

b). From your graph, determine

i). y-intercept

ii). gradient​

Answer:

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

Use circumference formula:

Find the radius by rearranging the formula and substituting 32 for C:

Answer:

5.09 in

Step-by-step explanation:

We know that the formula to find the circumference of a circle is:

C = 2πr

Here,

C → Circumference → 32 in

r → radius

Let us find the radius of the circle by substituting the given values.

\(\sf C = 2\pi r\\\\\sf 32 = 2\pi r\\\\Divide\:both\:sides\:by\:2 \pi \:and\:make\:r\:the \:subject\\\\\dfrac{32}{2 \pi} =\dfrac{2 \pi r}{2 \pi} \\\\\red{5.09 \:in=r}\)

820

Step-by-step explanation:

because 800+20 is 820

Answer:

bsosbsodndodnelsnsodnendk

b= 2.7 yd

The answer is: 2.7yd

Answer Ratio tables show equivalent ratios between two quantities. You can create a ratio table by multiplying (or dividing) both quantities in the ratio by the same value to find an equivalent ratio. A ratio table can help you find equivalent ratios in order to solve problems.

I hope it is helpful

The explanation regarding the ratio table that are used for graph the equivalent ratios is to be described below:

The following information should be considered:

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The measure of angle y is 52.81 degrees.

In this geometry problem, we are asked to determine the measure of angle y. After performing the necessary calculations, we find that the measure of angle y is 52.81 degrees. This answer has been rounded to the nearest hundredth.

To arrive at this result, we likely had access to a diagram or description of the given angles and their relationships. By applying the appropriate geometric principles, such as the properties of supplementary or complementary angles, we were able to identify the relevant information needed to find the measure of angle y.

It is important to note that without a specific diagram or further context, it is challenging to provide a detailed explanation of the specific steps involved in solving this problem. The answer of 52.81 degrees represents the final outcome based on the given information, calculations, and rounding instructions.

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Answer :

94 minutes (movie)

7 minutes (to get to the movie theater)

7 minutes (to get back)

94 + 7 + 7

94 + 14 = 108 minutes

Hope it helped

Answer:

0*2=0

4*5=20+3+1+0

Step-by-step explanation:

Answer:

Well If is just putting numbers then number 2 and 4.

But it like addition, multiplication then....

4x5 = 20

20 + 2 + 3 = 25

25 -1 = 24

24 - 0 = 24

The table is

x | 4 | 8 | 12
y |  1 | 2 | 3

The question is not understandable. The well-formatted question is

Complete the table for the given rule

Rule:

\(y=\dfrac{1}{4}x\)

Table:

x | 4 | 8 | 12
y |  ? | ? | ?

Evaluation of an algebraic expression when a specified integer is used to replace a variable is known as evaluating the expression. We use the provided number to replace the expression's variable before applying the sequence of operations to simplify the expression.

For instance

On evaluation of y= x+7  when x=3, and x=12

we get y(3) = 3 + 7 = 10 and y(12) = 12 + 7 = 19

The given equation is

\(y=\dfrac{1}{4}x\)

So, the table is

x | 4 | 8 | 12
y |  1 | 2 | 3

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Answer:

0

12/4

1.75

in that order

The missing data value according to the given z-score is 39.

We can determine how distant a data point is from the mean using its z-score. It is a crucial subject in statistics. Z-scores are a way to compare data to a population that is considered "normal." When attempting to compare someone's weight to that of the "average" person, for instance, it might be intimidating to look at a large table of data even though we know they weigh 70 kg. A z-score offers us an indication of how that person's weight compares to the mean weight of the general population. We shall discover what the z score is in this post.

The z score is a measurement of how many standard deviations a raw score is below or above the population mean. If the value is higher than the mean, it will be positive; if it is lower, it will be negative. The standard score is another name for it. It shows how far away from the mean an object is, in terms of standard deviations. The mean and population standard deviation must be known to apply a z-score. The likelihood of a score happening inside a typical normal distribution may be calculated with the use of a z score. We may also compare two scores from other samples thanks to it. A z score table is a table that contains the values of, which represent the cumulative distribution function of the normal distribution.

The equation is given by z = (x – μ)/ σ.

μ = mean

σ = standard deviation

x = test value.

In the question, z = -2.1, μ = 43, and σ = 2.

Substituting the values, we get:

-2.1 = (x - 43)/2,

or, x - 43 = -2.1*2,

or, x = -4.2 + 43,

or, x = 38.8 ≈ 39.

Thus, the missing data value according to the given z-score is 39.

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Answer:

Step-by-step explanation:

Perfect squares are numbers that their square root can be found easily without any remainder.

Given the following patterns;

1*1 = 1  and 1*1*1 = 1

It can be seen that 1 is 1 perfect square since 1*1 = 1² = 1

Also 1 is perfect cube since 1*1*1 = 1³ = 1 (cube of the value gives 1)

Similarly for the expression;

8*8 = 64

8² = 64 (since the square of 8 gives 64, then 64 is known to be a perfect square)

Also 4*4*4 = 64

i.e 4³ = 64 (This shows that the cube root of 64 is 4 making it a perfect cube since we can get a whole number for the cube root of 64)

The same is applicable for other expressions 729 = 27 × 27, and 9 × 9 × 9, 4,096 = 64 × 64, and 16 × 16 × 16

This values are easily expressed as a constant multiple of a number showing that they are both perfect squares and perfect cubes.

John Doe was killed approximately 4.06 hours ago.

To determine the time of death for John Doe, we will use the given formula: \(T = T0 + (T1 - T0)(0.97)^t\),\)where T is the body temperature at time t, T0 is the air temperature (74°F), and T1 is the body temperature at the time of death (93°F).

We are trying to find the time (t) when John Doe's body temperature was 98.6°F (normal body temperature). So, we'll set T equal to 98.6°F and solve for t:

\(98.6 = 74 + (93 - 74)(0.97)^t\)

To solve for t, follow these steps:

1. Subtract 74 from both sides:
\(24.6 = 19(0.97)^t\)

2. Divide by 19:
\(1.2947 ≈ (0.97)^t\)

3. Take the natural logarithm of both sides:
ln(1.2947) ≈ \(ln((0.97)^t)\)

4. Apply the logarithm power rule:
ln(1.2947) ≈ t * ln(0.97)

5. Divide by ln(0.97):
t ≈ ln(1.2947) / ln(0.97)

6. Calculate t:
t ≈ 4.06

So, John Doe was killed approximately 4.06 hours ago.

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Answer: Let the number be x.

According to the question,

2x-3=13

So, 2x=16

So, x=8.

Thus, the number is 8

Step-by-step explanation:

We know that an experiment can be considered verifiable, meaning that its results can be trusted and used to inform future research and decision-making.

For an experiment to be considered verifiable, several things should be done. Firstly, the experiment should be designed in a way that allows others to replicate it and obtain the same results. This means that all procedures, materials, and variables used should be clearly documented and made available to others.

Secondly, the experiment should be conducted in a controlled environment, where all external factors that could influence the results are minimized or eliminated.

Thirdly, the data obtained from the experiment should be analyzed and interpreted objectively, without any bias or preconceived notions. Finally, the results should be subjected to peer review and scrutiny by experts in the relevant field to ensure that they are valid and reliable.

By following these steps, an experiment can be considered verifiable, meaning that its results can be trusted and used to inform future research and decision-making.

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Answer:

The complete set of domain (x) and range values (y) is given by:

x                   y

-2                39

0                 13

3                  11

Step-by-step explanation:

Considering the function

\(f(x)=-8x+13\)

As we know that the range of a function consists of the entire set of all possible resulting values of the dependent variable commanly called y or f(x), once we have substituted the domain.

Now

Putting x = -2 in f(x) to determine the range for the value x = -2

\(f(x)=-8x+13\)

\(f(-2)=-8(-2)+13=16+13=39\)

Putting x = 0 in f(x) determine the range for  the value x = 0

\(f(x)=-8x+13\)

\(f(0)=-8(0)+13=0+13=13\)

Putting x = 0 in f(x) determine the range for the value x = 3

\(f(x)=-8x+13\)

\(f(3)=-8(3)+13=-24+13=11\)

Therefore, the complete set of domain (x) and range values (y) is given by:

x                   y

-2                39

0                 13

3                  11

Answer:

Since the lines are parallel, we know that alternate interior angles are congruent. Therefore, angles 1 and 5 are congruent, as they are alternate interior angles. So any angle that is congruent to angle 5 is also congruent to angle 1.

Looking at the answer choices, we see that angle 2 is adjacent to angle 5 and therefore also congruent to angles 1 and 5. So the correct answer is:

Therefore, the answer is "2".

Hey there! I'm happy to help!

I assume that n is supposed to be π. To find the volume of a cone, you multiply the base by the height and then divide by three.

First, we find the area of the base, which is a circle. To find the area of a circle, you square the radius and multiply by π.

5²=25

And we multiply by π.

25π

Now we multiply by the height.

25π×13=325π

We divide by three.

325π/3≈108π

Therefore, the answer is 108π in.

Have a wonderful day! :D

Answer:

30/ 15 = 2, 2 * 12 = 24 Answer: 24 flags

Step-by-step explanation:

I split it up into 1/4’s. Hope you get at good score.