tins are cylindrical of height 20cm and a radius of 7cm.The tins are placed standing upright in a carton and 12 tins fit exactly along the length of the carton.What is the length of the carton in centimetres??​

Answer:

X > 9

Step-by-step explanation:

\(2x + 4 > 22 \\ 2x > 22 - 4 \\ 2x > 18 \\ \frac{2x}{2} > \frac{18}{2} \\ x > 9\)

Answer:

Step-by-step explanation:

A ∪ B -----> we have to write all the elements from A & B set without duplicating.

B∩C ------> We have to write only the elements that are found in both B set and C set

A) A ∪ B = {1,3,5, 6, 7, 9, 10,12}

b) A ∪ C = {1, 3, 5, 6, 7, 9, 10,2,4,8,12}

c) B ∩ C = {10,12}

Answer:

a. A U B = { 1,3,5,6,7,9,10,12 }

b. A U C = { 1,2,3,4,5,6,7,8,9,10,12}

c. B n C = { 10.12 }

Step-by-step explanation:

a. A U B — you put all the numbers in set A and B together without repeating anything.

A U B = { 1,3,5,6,7,9,10,12}

b. A U C — you put all the numbers in set A and C without repeating anything.

A U C = { 1,2,3,4,5,6,7,8,9,10,12}

c. B n C — you find a common number in sets B and C.

B n C = { 10,12}

The numbers 10 and 12 are the only common thing in sets B

and C.

Answer:

both cost the same amount of money

Step-by-step explanation:

Match the Data Visualisation terms as follows:

1. Numpy: Working with arrays and matrices.

2. Bar chart: Representing categorical data with rectangular bars.

3. Pip: Package installer for Python.

4. S: Statistical library for Python.

The following are the meanings of the given terms:

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Answer:

18.75

Step-by-step explanation:

Remark

For this question, you need to set up a proportion. The ratio on each side of the equal sign is dollars  over pounds.

Proportion

15/8 = x / 10                     Cross Multiply

Solution

8x = 15 * 10                      Combine

8x = 150                           Divide by 8

x = 150/8

x = 18.75

Answer:

Step-by-step explanation:

A fraction is a smaller part of a whole number.

A whole number is defined as the number that is natural and it includes numbers such as 0, 1,2,3,4,5,6,7,8,9, 10. This means that is doesn't contain numbers that has decimal points or fractions such as. 1.5 or 1½ respectively.

A fraction is defined as the part of a whole value such as 1/4 which is 25% of 1. This means that it is the smaller part of a whole number.

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The rate at which the wage earners and rural households should save is 21%.

Given that:

Depreciation (δ) = 0.03

Capital output ratio (c) = 3

Profit share of income (π/Y) = 0.5

Savings out of capital income (sπ) = 25% = 0.25

We know that the modified Harrod-Domar growth model is given as:

c(g+δ) = (sπ - sW)(Yπ) + sW

We can rearrange the above equation to find the value of savings out of wage income as follows:

sW = c(g+δ - sπ(Yπ))/ (sπ - π/Y)

Plugging in the given values:

sW = 3(0.04 + 0.03 - 0.25(0.5))/ (0.25 - 0.5)

On solving the above equation, we get:

sW = 0.21 or 21%

Hence, the rate at which the wage earners and rural households should save is 21%. Therefore, the required answer is 21%.

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Answer:

24

Step-by-step explanation:

Highest 33

lowest 9

range = 33 - 9 = 24

What is the range of fat grams for the five sandwiches?

⇒ Range of fat grams for the five sandwiches = 33 - 9

Calculating further, We get,

⇒ Range of fat grams for the five sandwiches = 24 g

Since, 24 is also given as option E. 24. Therefore, option E. 24 is the correct answer.

Answer: 70% of the brownies are caramel.

Step-by-step explanation: First take 56/80 because 56 of the brownies were caramel out of the 80. Which divided that give you 0.7. Multiply then by 100 which will give you 70. So the answer is there are 70% caramel brownies.

Answer:

7

Step-by-step explanation:

Answer:

0.3333333333

0.4444444444

0.5555555556

Answer:14

Step-by-step explanation:

All of them are divisible by 14

You can see that if you prime factor them

Answer: 150*40/100=60

60+150=210.

Step-by-step explanation:

This integral is quite complex and does not have an analytical solution is 2pi ∫\(0^2\) \(e^{-r sin(\theta)\)) r (1 - 2\(r^2\)\(cos^{2}(\theta)\) (2\(-r^2\)) dr dtheta

To evaluate the triple integral of e^(x-y) over the region enclosed by the surfaces z=\(x^2-1, z=1-x^2, y=0,\) and y=8, we will use the cylindrical coordinates since the region is symmetric about the z-axis.

In cylindrical coordinates, we have:

x = r cos(theta)

y = r sin(theta)

z = z

The limits of integration for r, theta, and z are as follows:

0 <= r <= 2

0 <= theta <= 2pi

\(x^2\)-1 <= z <= 1-\(x^2\)

Substituting the cylindrical coordinates into the integral, we get:

∫∫∫ e^(x-y) dv = ∫∫∫ \(e^{(r cos(\theta) - r sin(\theta))\)r dz dr dtheta

Now, we need to determine the limits of integration for z in terms of r. Solving for z in the two equations that define the boundaries of the region, we get:

z =\(x^2\)- 1 -> z = \(r^2\)\(cos^2(\theta)\) - 1

z = 1 - \(x^2\) -> z = 1 - \(r^2\) \(cos^2(\theta)\))

Thus, the limits of integration for z become:

\(r^2 cos^2\)(theta) - 1 <= z <= 1 -\(r^2\) \(cos^2(\theta)\)

Substituting these limits into the integral and performing the integrations, we get:

∫∫∫ \(e^{r cos(\theta)\) - r sin(theta)) r (1 - \(r^2\) \(cos^2(\theta)\)) - \(r^2\) \(cos^2(\theta))\) dz dr dtheta

= ∫\(0^8\)∫\(0^2\)pi ∫\(0^2\) \(e^{r cos(\theta)\) - r sin(theta)) r (1 - 2\(r^2\) \(cos^2(\theta))\)dz dr dtheta

= 2pi ∫\(0^2\) \(e^{-r sin(\theta))\)r (1 - 2\(r^2\) \(cos^2(\theta))\) (2-\(r^2\)) dr dtheta

This integral is quite complex and does not have an analytical solution. Therefore, we need to evaluate it numerically using a computer or calculator.

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Answer: The answer is 6x^2y(9 - 2y)

Step-by-step explanation: I am not completely sure sorry if its wrong

Answer:

a × 2 means 'a' multiplied by 2

a(2) also means 'a' multiplied by 2

So both mean the same.

a × 2 means 2 times the value of variable "a".

a(2) represents a function "a" with input 2.

a × 2 means the value of variable "a" multiplied by 2. In mathematical terms, it is simply "2 times a" or "2 * a."

a(2) indicates a function notation, where "a" is a function and "2" is the input to that function.

It is not multiplication but rather a way of representing the value of the function "a" when the input is 2.

Hence, a × 2 means 2 times the value of variable "a".

a(2) represents a function "a" with input 2.

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Answer:

9 years = 2626.76 so 2626 Martians

13 years = 1575.255 so 1575 Martians

Step-by-step explanation:

Answer:

180-11x-30=140

180-170=11x

10=11x

x=10/11

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

1-2-3-x-x

1-3-2-x-x

2-1-3-x-x

2-3-1-x-x

3-1-2-x-x

3-2-1-x-x

Answer:

Shelly walked 1/15 km farther

Step-by-step explanation:

We need to get a common denominator.

1/3 * 5/5 =5/15

Shelly walked 5/15 km

Kelly walked 4/15 km

Shelly walked farther

5/15 - 4/15 = 1/15

She walked 1/15 farther

Answer:

Shelly walked the furthest by 0.06 km.

Step-by-step explanation:

On a calculator (you can do it on paper, but it will take longer), take 1/3 and divide 1 by 3:

1 divided by 3 = 0.33

Then, do the same with 4/15:

4 divided by 15 = 0.27

So, Shelly walked the furthest.

To find out how much farther Shelly walked then Kelly, we simply subtract the 2 answers:

0.33 - 0.27 = 0.06

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James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

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The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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Answer:

1, 5 6 10 15 30 because these numbers times certain numbers can also give 30 for instance 1 by 30 is30, 5 by6 is 30 6 by 5 is 30 10 by 3 is 30 15 by 2 is 30 30 by 1 is 30

The decrease in the number of pirates in the world correlates with an increase in mean global temperature is an example of a spurious correlation.

While there might be a statistical relationship between these two variables, it is not a causative one, and the correlation is likely coincidental.This is the importance of distinguishing between correlation and causation. In this case, the decrease in the number of pirates and the increase in mean global temperature are unrelated factors that happen to show a correlation when observed over time.

This is often used humorously to demonstrate the fallacy of assuming causation based solely on a correlation. It underscores the need for careful analysis and consideration of other relevant factors before making conclusions about causal relationships. In reality, factors such as greenhouse gas emissions, deforestation, and industrialization have a more significant impact on global temperature trends than the number of pirates in the world.

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Answer:

Step-by-step explanation:

The point P' lies in II Quadrant.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

We have,

Point P is located at (–4, –7) and P is reflected across the x-axis to create P'.

Here we can see P (-4, -7) lies in third quadrant.

So, if we reflect it across x -axis to create P' then it would be in Second quadrant.

Then, the point P' lies in II quadrant and P (-4, -7) would be P'( -4 , 7).

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Answer:

Should be 360

Step-by-step explanation: