Find the value of x and measure of the angle labeled 16x.

The volume of cylinder lies between the 97.34 and the 100.48 inches per cube.

According to the statement

we have given that the some data and we have to find the volume of the cylinder.

So, For this purpose, we know that the

The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. Cylinder's volume is given by the formula, πr^2h, where r is the radius of the circular base and h is the height of the cylinder.

So, The radius of the cylinder is 2 inches and the height is between 7.75 and 8 inches.

Volume of the cylinder = \(\pi r^{2}h\)

Substitute the values in it then

radius = 2 inches and the height = 7.75

then volume  becomes

volume = \((3.14)(2)^{2}7.75\)

volume = 97.34 inches per cube

And now take height = 8 inches

then volume  becomes

volume = \((3.14)(2)^{2}8\)

volume = 100.48 inches per cube.

So, The volume of cylinder lies between the 97.34 and the 100.48 inches per cube.

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The formula for the arithmetic sequence if the sum of the same sequence is given by Sn = 2n+3n is an = 10 - a1

The formula for an arithmetic sequence is given by:
an = a1 + (n - 1)d
Where an is the nth term of the sequence, a1 is the first term, n is the number of terms, and d is the common difference.

If the sum of the same sequence is given by Sn = 2n + 3n, then we can use the formula for the sum of an arithmetic sequence to find the formula for the sequence itself.

The formula for the sum of an arithmetic sequence is given by:
Sn = n(a1 + an)/2

Substituting the given formula for Sn into this equation, we get:
2n + 3n = n(a1 + an)/2

Solving for an, we get:
an = (4n + 6n)/n - a1
an = 10 - a1

Therefore, the formula for the arithmetic sequence is:
an = 10 - a1

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\( \mathcal \pink{GIVEN:}\)

\( \mathcal \purple{TO \: FIND:}\)

\( \mathcal \blue{CALCULATION:}\)

\( \qquad{ \sf \: volume = \pi{r}^{2}h }\)

Where,

\( \qquad{ \tt\nrightarrow \: \frac{22}{7} \times {3}^{2} \times 7}\)

\( \qquad{ \tt\nrightarrow \: \frac{22}{ \cancel7} \times {3}^{2} \times \cancel7}\)

\( \qquad{ \tt\nrightarrow \: 22 \times {3}^{2} }\)

\( \qquad{ \tt\nrightarrow \: 22 \times 9 }\)

\( \qquad{ \boxed{ \tt\Rrightarrow \: 198\: {m}^{3} }}\)

➪ Henceforth, The volume of the cylinder is 198 m³...

There are 90 ways that a coach can select a starting team of one center, two forwards, and two guards if the basketball team consists of three centers, five forwards, and three guards.

To determine the number of ways to select a starting team, we first need to choose one center out of three centers, which can be done in 3 ways.

Then we need to choose two forwards out of five forwards, which can be done in 5C2 ways, where 5C2 represents the number of combinations of 2 items that can be chosen from a set of 5 items.

Finally, we need to choose two guards out of three guards, which can be done in 3C2 ways.

Using the multiplication principle, the total number of ways to select a starting team is:

3 x 5C2 x 3C2 = 3 x 10 x 3 = 90

Therefore, there are 90 ways.

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The expansion of Cos(A-B) is:

We are provided with the following:

We will have to obtain the values of Cos B and Sin A. Thus, we have:

To be obtain Sin A, we have to get the value of the third side, which is the opposite side, by applying the pythagoras theorem. Thus, we have:

To be obtain Cos B, we have to get the value of the third side, which is the adjacent side, by applying the pythagoras theorem. Thus, we have:

Now that we have obtained the values of Cos B and Sin A, we can then go on to solve the original problem.

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Answer:

16-1=15

Step-by-step explanation:

decreased means subtraction

The interval where f is positive is \(0 \le x < 1.5\)

The missing function is added as an attachment

From the attached graph, the function f(x) is positive from x = 0 to x = 1.5

As an interval notation, this can be represented as:

\(0 \le x < 1.5\)

Hence, the interval where f is positive is \(0 \le x < 1.5\)

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Since the researcher is merely observing and comparing existing groups without any manipulation or intervention, this study is classified as an observational study.

In an observational study, the researcher observes and collects data on existing groups or individuals without intervening or manipulating any variables. In this case, the researcher selected two groups of grocery shoppers (one group shopping at a health food supermarket and the other at a neighborhood grocery store) and observed their food costs over a month. The researcher did not control or manipulate any factors or assign participants to specific groups.

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Answer:

Life forms change over time

Step-by-step explanation:

Step-by-step explanation:

13^2 + x^2 = 17^2

169 + x^2 = 289

289 - 169 = 120

x^2 = 120

\( \sqrt{120} = 10.9544511501\)

x = 11.0

Hence, 15 people out of 3 people can be chosen in 35 ways.

It is given that:

The total number of people in a race, n = 15

The number of finalists, r = 3.

Hence, the number of ways in which 3 people out of the 15 people can be finishers are:

\(^{15}C_{3} }\) = \(\frac{15!}{(15-3)!3!}\) = \(\frac{15!}{12!3!}\) = 35.

Hence, 15 people out of 3 people can be chosen in 35 ways.

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Answer:

You will have to work 361 hours

Step-by-step explanation:

Create an equation: 100+28(x)=10,220

Parentheses: 100+28x=10,220

Subtraction property of equality(Subtract 100 from 10,220): 28x=10,120

Division property of equality(divide 28 from 10,120): x=361

Volume = base area x height

Base area = Length x width = 10 x 8 = 80 in2

Volume = 80 in2 x 6 in = 480 cubic inches

Answer:

La respuesta correcta es la opción C: 91 cm³.

Step-by-step explanation:

La fórmula del volumen de un cubo es la siguiente:

\( V = a^{3} \)

En dónde:

a: es cada lado del cubo = 4,5 cm

Entonces, el volumen del cubo es:

\( V = a^{3} = (4,5 cm)^{3} = 91.1 cm^{3} \approx 91 cm^{3} \)

Por lo tanto, la respuesta correcta es la opción C: 91 cm³.  

Espero que te sea de utilidad!

The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

Given data: Initial velocity, u = 0 ft/sec

Acceleration, a = g = 32.2 ft/sec²

The maximum rate of fall, vmax = 80 mph

Time, t = 2 seconds

Air resistance constant, Ar = 0.2

We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.

The governing equation for the velocity of the skydiver is given by the following:

ma = -m * g + k * v²

where, m = mass of the skydive

r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.

The equation can be written as,

v' = -g + (k / m) * v²

Here, v' = dv/dt = acceleration

Hence, the modified Euler's formula for the velocity can be written as

v1 = v0 + h * v'0.5 * (v'0 + v'1)

where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²

As the initial velocity of the skydiver is zero, we can write

v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))

v1 = 62.732 mph

Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

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The conditions for conducting one-sample t-procedures are as follows:

1. Random Sample: The data should be obtained from a random sample or a randomized experiment to ensure that it is representative of the population of interest. This condition helps to minimize bias and ensure the validity of statistical inference.

2. Independence: The observations within the sample should be independent of each other. In other words, the values should not be influenced by each other and should be selected or measured independently. Violation of independence can lead to inaccurate results.

3. Normality or Large Sample Size (Central Limit Theorem): The population from which the sample is drawn should follow a normal distribution, or the sample size should be sufficiently large. If the population is known to be normally distributed, there are no specific requirements on the sample size. However, if the population distribution is unknown, the sample size should generally be at least 30 to apply the Central Limit Theorem, which states that the sample mean tends to follow a normal distribution, regardless of the population distribution shape.

4. Outliers: The presence of outliers can have a significant impact on the results of t-procedures. It is important to check for and address any outliers in the data. Outliers can distort the distribution and violate the assumptions of the t-test.

5. Equal Variances (for two-sample t-test): In the case of a two-sample t-test, if comparing two groups, the variances of the two populations should be equal. This assumption is necessary for calculating the correct degrees of freedom and obtaining accurate results. If the variances are not equal, a modified version of the t-test, called the Welch's t-test, can be used instead.

It is important to carefully assess these conditions before conducting one-sample t-procedures to ensure that the results are valid and reliable. Violations of these conditions may require alternative statistical tests or adjustments to the analysis.

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Answer: cool

Step-by-step explanation:

Answer: ok

Step-by-step explanation: ok

The two surfaces that need NOT be sanitized between the two tasks are:

A cup used first to measure sugar and then flour.

A knife used to first filet fish and then slice ham.

In both cases, there is no risk of cross-contamination between allergens or harmful bacteria.

The two surfaces that need NOT be sanitized between the two tasks are:

A cup used first to measure sugar and then flour.

A knife used to first filet fish and then slice ham.

In both cases, there is no risk of cross-contamination between allergens or harmful bacteria. The cup is being used for dry ingredients (sugar and flour), which pose a minimal risk of contamination. Similarly, the knife is being used on two different types of proteins (fish and ham), but as long as it is properly cleaned after use, there is no immediate risk of cross-contamination.

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The definition of slope-intercept form y=mx+b is given below.

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

In geometry, there are two types of lines: straight and curved. Vertical and horizontal straight lines are further divided into categories. Parallel, intersecting, and perpendicular lines are further types of lines.

In the given question:-

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope may be determined using a variety of approaches.

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Answer:

mint green

Step-by-step explanation:

brainliest?

Answer:

Pink

Step-by-step explanation:

because I'm 15 years old and I'm a girl

I like princess colors?

Answer:

4 months

Step-by-step explanation:

Equation:

y = 55 + 30x

y = gym membership

x = per month

Work:

y = 55 + 30x

175 = 55 + 30x

30x = 175 - 55

30x = 120

x = 4

4 months

Answer:

-177.8 feet below sea level.

Step-by-step explanation:

First, we know that decend means to lower. Anything lower than 0 has to be negative. It says that she decends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.

Hope this helps!

Answer: (m+7)(m+2)

Step-by-step explanation:

So, let's find two numbers that can multiply together and equal 14.

To get fourteen here are the options:

1 * 14

2 * 7

Not many options, but let's see which ones would add to equal 9.

1 + 14 = 15

2 + 7 = 9

There's our answer, 2 and 7 multiply to get 14, and add to get 9.

To write it in factored form, we would write (m+7)(m+2)

The correct answer is 65.89 cm³.

First, let's calculate the radius of the ice cream cone. The diameter is given as 4 centimeters, so the radius (r) is half of that:

r = 4 cm / 2 = 2 cm

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where V is the volume, π is approximately 3.14, r is the radius, and h is the height.

Plugging in the values:

V = (1/3) × 3.14 × (2 cm)² × 16 cm

V = (1/3) × 3.14 × 4 cm² × 16 cm

V = (1/3) × 3.14 × 64 cm² × 16 cm

V ≈ 65.89 cm³ (rounded to the nearest hundredth)

Therefore, the volume of ice cream that can be contained within the cone is approximately 65.89 cm³.

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The amount of data compression an algorithm can produce is reliant upon:

Opiton B) Several patterns in the data.

Data compression is the process of reducing the size of a file by encoding its data information more efficiently. The more patterns in the data, the more efficiently it can be compressed.

An algorithm is a set of instructions that are used to complete a task, such as compressing data. If there are several patterns in the data, the algorithm can use these patterns to create a smaller, more efficient representation of the file, resulting in greater data compression.  This means that if there are repeating parts of the file being compressed, the algorithm can make use of that to reduce the size of the file.

However, the size of the file (whether it's large or small) does not necessarily affect the amount of data compression.

Therefore, the amount of data compression an algorithm can produce is reliant upon the presence of several patterns in the data.

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¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

i. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx (5 marks)

Proof:

1. ∃x(Fx & Gx) [Premise]

2. Fx & Gx [∃-Elimination, 1]

3. ∃xFx [∃-Introduction, 2]

4. ∃xGx [∃-Introduction, 2]

5. ∃xFx & ∃xGx [Conjunction Introduction, 3 and 4]

6. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx [1-5, Modus Ponens]

ii. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px (5 marks)

Proof:

1. ¬ 3x(Px v Qx) [Premise]

2. ¬ Px v ¬ Qx [DeMorgan’s Law, 1]

3. Vx ¬ Px [∀-Introduction, 2]

4. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px [1-3, Modus Ponens]

iii. ¬ Vx(Fx → Gx) v 3xFx (10 marks; Hint: To derive this theorem use RA.)

Proof:

1. ¬ Vx(Fx → Gx) v 3xFx [Premise]

2. (¬ Vx(Fx → Gx) v 3xFx) → (¬ Vx(Fx → Gx) v Fx) [Implication Introduction]

3. ¬ Vx(Fx → Gx) v Fx [Resolution, 1, 2]

4. (¬ Vx(Fx → Gx) v Fx) → (Fx → Gx) [Implication Introduction]

5. Fx → Gx [Resolution, 3, 4]

6. ¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

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The approximate slope and y-intercept of the line of best fit is y = -0.17x + 33.3.

In Mathematics, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁) or \(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\)

Where:

At data point (20, 20), a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

\(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\\\\y - 20 = \frac{(10- 20)}{(80-20)}(x -20)\)

y - 20 = -1/6(x - 20)

y = -x/6 + 20/6 + 20.

y = -x/6 + 200/6

y = -0.17x + 33.3

In this context, we can reasonably infer and logically deduce that a linear function that represent the line of best fit in slope-intercept form is y = -0.17x + 33.3.

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