What is the missing dimention with a cilinder with base as d and the height as 14 and it has a volume of 7433 in 3

In an experiment where a person eating at a cafeteria choose 4 out of the 19 vegetables on offer, the number of elements in the sample space is 3876.

A sample space of an experiment is the set of all possible outcomes of a random experiment. So the number of elements in a sample space is the total number of possible outcomes of  the experiment.

Here the experiment is choosing 4 vegetables from a set of 19 vegetables offered. The total number of ways to choose 4 out of 19 distinct vegetables = 19C4

= 19! / (4! × (19-4)!)

= 3876

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There are 176,851 ways to assign the 100 pages to the four printers.

Since there are no restrictions on how many pages a printer can print, we can think of this problem as distributing 100 identical pages among 4 distinct printers. This is an example of a "balls and urns" problem, which can be solved using the stars and bars formula.

The stars and bars formula states that the number of ways to distribute k identical objects among n distinct containers is:

C(k+n-1, n-1)

where C represents the combination function. In this case, we have k = 100 identical pages and n = 4 distinct printers. Therefore, the number of ways to assign the pages to the printers is:

C(100+4-1, 4-1) = C(103, 3) = 176,851

So there are 176,851 ways to assign the 100 pages to the four printers.

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If the temperature was lowered by 9.5 C every hour for 3 1/2 hours, the total temperature decrease is:

9.5 x 3.5 = 33.25 C

So, the final temperature is:

15 - 33.25 = -18.25 C

This means the liquid's final temperature is -18.25 degrees Celsius.

Answer:

I would say it 11a+5 I'm not sure tho

Answer:

The answer is B. 50

Step-by-step explanation:

180-105=75

75+55=130

180-130=50

The statement is true.

When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.

When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.

The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.

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So, the expressions (10 + 8) - 2 are equivalent to options C (10-2) + (82)

and D (2.10) + 8.

The expression (10 + 8) - 2 is equivalent to option A and not option C or D.

A. (8 + 10) * 2 = 18 * 2 = 36

Option B is not equivalent because it involves multiplication and addition without following the order of operations. The correct interpretation of option B would be:

B. 10 * (2 + 8) = 10 * 10 = 100

So, the expression (10 + 8) - 2 is equivalent to option A, which is (8 + 10) * 2 = 36.

The expression (10 + 8) - 2 is equivalent to options C and D.

C. (10-2) + (8*2) = 8 + 16 = 24

D. (2*10) + 8 = 20 + 8 = 28

Options A and B do not provide an equivalent expression.

A. (8 + 10) * 2 = 18 * 2 = 36

B. 10 * (2 + 8) = 10 * 10 = 100

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We can say with 99% confidence that the true mean length of all Hollywood movies made in the last 10 years is between 107.2 and 116.0 minutes.

We are given:

Sample size (n) = 45

Sample mean (x) = 111.6 minutes

Sample standard deviation (s) = 14.3 minutes

Confidence level = 99%

To construct the confidence interval, we can use the formula:

Confidence interval = x ± zα/2 * (s/√n)

Where:

x = sample mean

zα/2 = the z-score associated with the desired confidence level (in this case, 99% corresponds to a z-score of 2.576)

s = sample standard deviation

n = sample size

Substituting the given values, we get:

Confidence interval = 111.6 ± 2.576 * (14.3/√45)

Confidence interval = 111.6 ± 4.36

Confidence interval = (107.2, 116.0)

Therefore, we can say with 99% confidence that the true mean length of all Hollywood movies made in the last 10 years is between 107.2 and 116.0 minutes.

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Answer:

b = y - mx

Step-by-step explanation:

Given

y = mx + b ( subtract mx from both sides )

y - mx = b

Answer:

This question can be solved using direct and inverse variation. Direct variation can be solved using unitary method that is common sense like if you buy 10 chocolates for 100 rupees how many rupees would you pay for 20 - this is simple as if 10 chocolates is 100 then 20 would be 200. HOWEVER,  Inverse Variation is when one value increase the other value decreases and they are proportional. They have a formula called x1/x2 = y2/y1.

In this problem we can use this formula, x1/x2 = 15/42 and y2/y1 = 30/x

so hence 15/42 = 30/x

= 15x = 30*42

x= 1260/15

 = 84

Therefore 84 is the answer.

The probability that all adjacent points differ in colour is \(\frac{1}{5}\).

What is probability ?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

Have given ,

We have first three colour Green that is g1 , g2 and g3

And We have next three colour red that is r1 , r2 and r3

The probability that all adjacent points differ in colour = 3! * \(^{4}C_{3}\) 3! / 6!

=> \(\frac{ 3! * 4! *3!}{6!}\)

=> \(\frac{1}{5}\)

The probability that all adjacent points differ in colour is \(\frac{1}{5}\).

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Answer:

p is 5 by 7 the a is 3 by 6

Step-by-step explanation:

Answer:i took this test so i’m pretty sure it’s c and f

Step-by-step explanation:

Answer:

20    :l

Step-by-step explanation:

Answer:

20.

Step-by-step explanation:

you add and get 20. boom easy

Answer:

B

Step-by-step explanation:

(f – g)(x) = f (x) – g(x)=

\(3 {x}^{2} - 4x + 3 \\ - 2 {x}^{2} + 6x + 4 \\ = 5 {x}^{2} - 10x - 1\)

Thermal energy that comes from the movement of particles.

The energy present in a system that determines its temperature is referred to as thermal energy. Thermal energy flows as heat. Thermodynamics is a whole field of physics that studies how heat is transmitted between various systems and how the procedure is carried out (see the first law of thermodynamics).

The energy that results from a substance's temperature is known as thermal energy. The amount of molecular vibration increases with temperature, increasing thermal energy.

Heat energy is another name for thermal energy. A moving object's kinetic energy is its energy. Thermal energy is a type of kinetic energy because it is produced by moving particles.

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To determine a basis for the set spanned by the given vectors, we can perform row operations on the augmented matrix [v1 | v2 | v3 | v4 | v5 | v6] and identify the pivot columns.

Row-reducing the augmented matrix yields:

[1 3 1 5 2 2 | 0]

[2 6 3 11 7 0 | 0]

[3 9 5 17 12 0 | 0]

By performing row operations, we can simplify the matrix to its row-echelon form:

[1 3 1 5 2 2 | 0]

[0 0 1 1 3 0 | 0]

[0 0 0 0 0 0 | 0]

The pivot columns are the columns with leading 1's in the row-echelon form. In this case, the pivot columns are 1, 3, and 5.

Therefore, a basis for the set spanned by the given vectors is {v1, v3, v5}, which corresponds to the columns of the original matrix in the pivot columns. These three vectors are linearly independent and can span the entire space represented by the given vectors.

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To find h'(3) given h(x) = f(x) xg(x), we use the product rule of differentiation:

h'(x) = f'(x) xg(x) + f(x) g(x) + f(x) xg'(x)

We are not given the functions f(x) and g(x), but we can use the given graphs to estimate their values near x = 3. Let's say that f(3) = 2 and g(3) = 5. We also need to estimate f'(3) and g'(3) in order to calculate h'(3). We can estimate these values using the slopes of the tangent lines to the graphs at x = 3.

Let's say that the slope of the tangent line to the graph of f(x) at x = 3 is 1, and the slope of the tangent line to the graph of g(x) at x = 3 is 3. Then we have:

f'(3) ≈ 1

g'(3) ≈ 3

Substituting these values into the product rule for h'(x), we get:

h'(x) = f'(x) xg(x) + f(x) g(x) + f(x) xg'(x)

h'(3) = f'(3) 3 g(3) + f(3) g(3) + f(3) 3

h'(3) = (1)(3)(5) + (2)(5) + (2)(3)

h'(3) = 19

Therefore, h'(3) is approximately equal to 19, based on the given graphs and our estimates of f'(3) and g'(3).

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Answer:

1. 4.5 x 10^5

2. Reflection

3. 10^16

4. t = 4

5. 230

6. 0

7.  1/2x^2

Step-by-step explanation:

1. There are 4 zereos in the number, and in order to convert something to scientific notation, there has to be a decimal that is less than 10, so you would convert the 45 to 4.5. The number of places to move over from the decimal in 4.5 to the end of the number 450,000 is 5, so it would be 10 to the 5th power (10^5).

2. A reflection is when a shape is flipped across an invisible line. Imagine a vertical line. If you took the triangle on the left and flipped it over the line, you would get the triangle on the right, so it's a reflection.

3. When multiplying two powers of 10 like this, you just add the exponents. So your answer would be 10^(7+9) = 10^16.

4. Start by multiplying both sides by 5.

t + 16 = 20

Then subtract 16 from both sides. And you get...

t = 4

5. 4.4 + 0.2 = 4.6 so then divide that number by 0.02. Remember, when dividing a number by another number that is less than one, the answer will be bigger than the original number. 4.6 / 0.02 = 230

6. Exponents represent the number of times you multiply the original number. So 5^1 is just 5 since you don't multiply it by 5 again. 3^2 = 3 * 3 = 9. 4^0 is 1 because all numbers to the 0th power are 1. Take all of these numbers and add/subtract accordingly. Remember PEMDAS, so the 5*3 is multiplied before it is subtracted.

5 + 9 + 1 = 15

15 - (5*3) = 0

7. The two x^3 on the bottom can be added together to create 2x^3. Then you can cancel out x^2 from both the top and bottom.

x^2/(2x^3) = 1/2x^2

Answer:

1228 is your answer

Step-by-step explanation:

Answer:

1200 ounces

Step-by-step explanation:

How much of an alloy that is 10% copper should be mixed with 600 ounce of an alloy that is 70%copper in order to get an alloy that is 30%copper?

Let us represent

Number of ounce of 10% copper = x

Hence, our Equation =

x × 10% + 600 × 70% = (x + 600) × 30%

0.1x + 420 = (x + 600)0.3

0.1x + 420 = 0.3x + 180

Collect like terms

0.3x - 0.1x = 420 - 180

0.2x = 240

x = 240/0.2

x = 1200 ounces

Check the picture below.

If the value of the variable 'x' is 12. Then the measure of the angle ∠B will be 118°.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

In triangle ΔABC, ∠B = (12x − 26)°, and the measure of the exterior angle to ∠B is (7x − 22)°.

The sum of the interior and exterior angles will be 180°. Then the equation is given as,

(12x − 26)° + (7x − 22)° = 180°

12x - 26 + 7x - 22 = 180

19x - 48 = 180

19x = 228

x = 12

Then the measure of the angle ∠B will be given as,

∠B = 12 (12) - 26

∠B = 144 - 26

∠B = 118°

If the value of the variable 'x' is 12. Then the measure of the angle ∠B will be 118°.

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Answer:

118

Step-by-step explanation:

(12x - 26)

12x - 26 + 7x - 22 = 180

12x  + 7x + 26 - 22 = 180 (add 26 and 22 together)

19 - 48

180 + 48

228/19 = 12

(12x(12) - 26)

12 x 12 = 144 - 26 = 118

118 is your answer deer (lol corny joke)

Answer:

6

Step-by-step explanation:

When dividing fractions, you want to multiply the reciprocal of the fraction (flip the fraction so the numerator is the denominator and the denominator is the numerator).

\(4*\frac{12}{8}\)

If you don't know how to multiply fractions as well, I will show you now.

Since 4 is just 4/1, I will convert just so you can visually see how I multiply.

\(\frac{4}{1} * \frac{12}{8}\)

When multiplying fractions, you multiply the numerators and the denominators.

So it would be 4 * 12 & 1 * 8

\(\frac{4}{1} * \frac{12}{8} = \frac{48}{8}\)

Your fraction is 48/8. But it can be simplified, let's divide 48/8. That equals 6!

The required answer is 6 when 4 divided by 8/12 is equal to 6.

The division operation is given as follows:

4 ÷ (8/12)

To divide by a fraction, you can multiply by its reciprocal.

In this case, you want to divide 4 by 8/12. To do this, you can multiply 4 by the reciprocal of 8/12, which is 12/8.

So, the division can be rewritten as:

4 x (12/8)

Now, simplify the expression by multiplying:

(4 x 12) / 8

48 / 8

⇒ 4 ÷ (8/12) = 6

The final result is 6.

Therefore, 4 divided by 8/12 is equal to 6.

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The total cost change for every taco special the food truck makes is $2.50.

As per the given data, the total cost of making a daily taco special for a restaurant is represented by the function C(t) = 2.5t + 1

Where t is the number of tacos made.

Here we have to determine the total cost change for every taco special the food truck makes.

We have,

Here, 1 is a constant because it is free from the variable, and 2.5 is the coefficient of t.

It means, 1 represents the fixed cost of making tacos but 2.5t changes with respect to t.

Differentiate C(t) = 2.5t + 1 with respect to the variable 't'.

C'(t) = 2.5

Thus, 2.5 represents the additional cost of every food truck's taco special.

So, $2.5 is the total cost change for every taco special the food truck makes.

Therefore, the correct option is b.

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The z-score for an individual midge that spends 12. 7 days in its larval stage is -0.636

Given,

The mean number of days that the midge Chaoborus spends in its larval stage = 14.1 days

Standard deviation = 2.2 days

We have to find the z-score for an individual midge that spends 12. 7 days in its larval stage;

Now,

z score = (x - μ) / σ

Here,

x = 12.7

Mean, μ = 14.1

Standard deviation, σ = 2.2

Then,

z score = (x - μ) / σ = (12.7 - 14.1) / 2.2 = -0.636

That is,

The z-score for an individual midge that spends 12. 7 days in its larval stage is -0.636

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The coordinates of the centroid of the triangle with the given vertices are (4,3).

To find the centroid of a triangle, we need to find the average of the x and y coordinates of the three vertices. The formula for the centroid is:

Centroid = ((x1 + x2 + x3)/3 , (y1 + y2 + y3)/3)

Using the given coordinates of I(3,1), J(6,3), and K(3,5), we can substitute them into the formula and solve for the centroid.

Centroid = ((3 + 6 + 3)/3 , (1 + 3 + 5)/3)

Centroid = (4, 3)

Therefore, the coordinates of the centroid of the triangle with the given vertices are (4,3).

The centroid of a triangle is an important point that represents the center of mass of the triangle. It is also the point of intersection of the medians of the triangle. The medians are the line segments that connect each vertex to the midpoint of the opposite side.  

The centroid is also the point where the triangle is in balance, meaning that if it was a physical object, it would balance perfectly on a point placed at the centroid.

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The diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

To convert the diameter of Earth from miles to kilometers, we can multiply the given diameter in miles by the conversion factor of 1.6 kilometers per mile.

Given that Earth's diameter is 7,926 miles, we can calculate its diameter in kilometers as follows:

Diameter in kilometers = Diameter in miles × Conversion factor

Diameter in kilometers = 7,926 miles × 1.6 kilometers/mile

Diameter in kilometers = 12,681.6 kilometers

Rounding this value to the nearest whole number, we get 12,682 kilometers.

Therefore, the correct answer is option D: 12,682 km.

Option A: 49,553 km is not the correct answer. It is not consistent with the given diameter of Earth.

Option B: 120,586 km is also not the correct answer. It is not consistent with the given diameter of Earth.

Option C: 1,392,650 km is significantly larger than the actual diameter of Earth and is not a plausible value.

In conclusion, the diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

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To find the tensions in the ropes of the block-and-tackle pulley, we can use the principles of equilibrium. Let's denote the tension in the rope on the left as Tleft and the tension in the rope on the right as Tright.

In equilibrium, the sum of the vertical components of the tensions must equal the weight of the hoist. The vertical component of Tleft is Tleft * sin(24°), and the vertical component of Tright is Tright * sin(88°). So we have the equation:Tleft * sin(24°) + Tright * sin(88°) = 1854.2 N

Next, we consider the horizontal components of the tensions. The horizontal component of Tleft is Tleft * cos(24°), and the horizontal component of Tright is Tright * cos(88°). Since the horizontal components must cancel out, we have:Tleft * cos(24°) = Tright * cos(88°)

Now, we can solve these two equations simultaneously to find the values of Tleft and Tright. Once we have the values, we can calculate the magnitude of each tension by taking the square root of the sum of the squares of their vertical and horizontal components.After performing the calculations, the magnitude of the tension for the rope on the left is approximately 926.7286 N (rounded to 4 decimal places).

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Answer:

14

Step-by-step explanation:

(2 x 6) + ( \(\sqrt{16\\}\) - 8 ÷ 2^2) =

12 + (4 - 8 ÷ 4)

12 + (4 - 2)

12 + 2

14