Select all numbers that are irrational.

Answer:

Step-by-step explanation:

2344

If Cole brought 21 cans and his sister brought 7 cans less, then the total number of cans brought by them is 35 cans.

The number of cans which Cole brought = 21 cans of food.

His sister brought in 7 fewer cans than he did, which means she brought in:

⇒ 21 - 7 = 14 cans of food,

Let the total number of food-cans be = "f",

So, the equation to find the number of cans is written as :

⇒ x = 21 + 14,

On adding the number of cans,

We get,

⇒x =  21 + 14 = 35,

Therefore, together they brought in 35 cans of food.

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Answer: 358 miles

Step-by-step explanation:

Answer: 385

Step-by-step explanation: 77x5

$9,664.47

After 15 years the account will have $9,664.47

Answer: The correct answer is B

Step-by-step explanation:

Remember that the coordinates (4,π3) tell us the radius r=4 and the angle θ=π3. So the point should be on the circle labeled 4 and form an angle of π3 with the positive x-axis. Point B is the correct point

Answer:

The answer is

x= -2

y= -8

Step-by-step explanation:

x=y+6

substitute into equation 1

13(y+6)-6y=22

13y+78-6y=22

13y-6y=22-78

7y=-56

divide both sides by 7

7y/7= -56/7

y= -8

x=y+6

x= -8+6

x= -2

Evaluating the exponential decay we can see that 200 years, there will be 47.43 pounds left of the material.

A general exponential decay is:

f(x) = A*(b)^x

Where A is the initial value, b is the rate of decay, x is the variable.

We know that we start with 68 pounds, and after 40 years there are 63.3 pounds left, so we have an exponential decay:

63.3 = 68*(b)^40

Where b defines how it decays, we can solve that equation for b to get:

(63.3/68)^(1/40) = b

0.9982 = b

Then the decay is:

f(x) = 68*(0.9982)^x

The amount left after 200 years will be:

f(200) = 68*(0.9982)^200 = 47.43

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To perform this and any other construction in math, you need to use the right tools which include a compass, your drawing board or paper, and a clear understanding of the instruction.

A key to getting the shape and angles of any construction includes knowing what is required of you and implementing these in your construction. In the second slide, you are told to use the segment tool to create segment AB. This tool will be a scale and the measurement will be that of a  line AB.

Next, identify the radius of the circle. This is the point from the center of the circle to any line on the circle. Understanding the instructions is key to bisecting the segment and completing the other activities.

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What does not make the context given as such is since PPI measures the change of the price the producer receives for their product and the CPI measure the change of the price the consumer pays for the product, one should rise while the other will fall. The Option D is correct.

This is because two indexes measure different things. The PPI measures change in prices of goods and services at the producer level while CPI measures the change in prices of goods and services at the consumer level.

That tells us PPI assess prices producers receive for their goods while CPI assess prices consumers pay for those same goods. So, while we have overlap between them, they are measuring different aspects of the economy and their trends may not always move in lockstep with each other.

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Callie can make 5 necklaces.

So to convert from a value in inches to one in yards, we need to divide by 36. To convert a value in yards to inches, we need to multiply by 36.

Now, She has a pieces of leather cord that has a length of 4 yards.

Each necklace will have a length of 28 inches.

We have to determine the how many necklaces can Callie make?

We know that :

1 yard= 36 inches

So, Multiply by 36 into 4 yards

4 yards= 36x4= 144

Length of leather cord is 4 yards

144/4 = 5.14

Callie can make 5 necklaces.

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Answer:

2013 - $880,000

2019 - $640,000

Step-by-step explanation:

The office building is being depreciated linearly over 25 years, which means the annual depreciation rate is:

Depreciation rate = (Cost - Scrap value) / Useful life = ($1,000,000 - $0) / 25 = $40,000 per year

To find the book value of the building in 2013, we need to determine how many years have elapsed since 2010. Since 2013 is three years after 2010, the building has been depreciated for three years. Therefore, the book value in 2013 is:

Book value in 2013 = Cost - Depreciation = $1,000,000 - ($40,000/year x 3 years) = $880,000

To find the book value of the building in 2019, we need to determine how many years have elapsed since 2010. Since 2019 is nine years after 2010, the building has been depreciated for nine years. Therefore, the book value in 2019 is:

Book value in 2019 = Cost - Depreciation = $1,000,000 - ($40,000/year x 9 years) = $640,000

Therefore, the book value of the building was $880,000 in 2013 and will be $640,000 in 2019.

Step-by-step explanation:

5^(x+2)  <= 3^x    

5^x  *  5^2  <= 3^x

25 <=  3^x / 5^x

25<= (3/5)^x                  LOG both sides

log 25 <= x log (3/5)

log 25 / log (3/5) <= x

- 6.3 <= x

Answer:

3/5

Step-by-step explanation:

opposite/hypotenuse

21/35

Simplify by dividing by 7 on the numerator and denominator

3/5

An example of simple random sampling is given as follows:

C. In a bag of more than 500 marbles, reaching the hand into a bag and drawing 25 of them.

Samples may be classified as:

Hence the samples for this problem are classified as follows:

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It looks like there are five data points in the box plot, representing Juan's total sales during each shift. The third data point is $200, which is the median value. Since there are an odd number of data points, we know that the median is exactly in the middle of the data set. This means that two of the data points are less than $200, and two of the data points are greater than $200.

The last data point is $300, which is the maximum value. So we know that only one of the data points is between $200 and $300. Therefore, the fraction of Juan's shifts that had total sales of $225 or more is 1/5, or 20%.

Answer:

Step-by-step explanation:

The required two column proof is explained below.

A midpoint is a point which divides a line segment into two equal parts. Thus it can be referred to as the middle point of the line segment.

The two column proof for the information is given as:

M is the midpoint of CD    (Given)

CD = CM + MD   (addition property of a line segment)

CM = MD  (definition of a midpoint)

So that;

5x – 2 = 3x + 2    (Definition of midpoint)#

Then,

5x - 3x = 2 + 2 (collecting like terms)

2x = 4

x = 2

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To find the equation of the circle with center (0, −1) that contains the point (−8, 10), we can use the standard form of the equation of a circle:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center of the circle and r is the radius.

Since the center of the circle is given as (0, −1), we have:

(x - 0)^2 + (y + 1)^2 = r^2

We still need to find the radius, r. We know that the circle passes through the point (−8, 10), so we can substitute these values for x and y and solve for r:

(-8 - 0)^2 + (10 + 1)^2 = r^2

64 + 121 = r^2

r^2 = 185

So the equation of the circle is:

x^2 + (y + 1)^2 = 185

Alternatively, we can expand the equation to get it in standard form:

x^2 + y^2 + 2y + 1 = 185

x^2 + y^2 + 2y - 184 = 0

So another form of the equation is:

x^2 + (y + 1)^2 = 185

Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

Sides AB = 3√2 and BC = 6.

The given triangle ABC is a right-angled triangle, as ∠BAC = 90°.

In the given right triangle ABC,

Hypotenuse of the triangle = BC

Base and height = AC and AB.

Also, we see from the diagram that ∠ACB and ∠ABC are equal.

∴ Triangle ABC is isosceles, with sides AC = AB = 3√2.

Now, by Pythagoras' theorem,

Hypotenuse² = Base² + Height²

Or, BC² = AC² + AB²

Or, BC² = (3√2)² + (3√2)²

⇒ BC² = 36

Or, BC = 6

Hence, sides AB = 3√2 and BC = 6.

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Answer:

Do whatever you want, but paying attention would really help you.

Step-by-step explanation:

If you find yourself bored in class, consider the following options to make the most of your time and stay engaged:

1. Actively participate: Ask questions, contribute to discussions, and try to engage with the material. Active participation can make the class more interesting and help you retain the information better.

2. Take notes: Focus on taking detailed notes, even if you think you understand the material. This will help you stay engaged and make it easier to review the content later.

3. Find connections: Try to relate the class material to your interests or real-world applications. This can make the content more engaging and relevant.

4. Set learning goals: Set specific learning objectives for each class, and try to achieve them during the session. This can help you stay focused and motivated.

5. Practice active listening: Pay attention to the teacher and try to understand the main points they are making. This can help you stay focused and better comprehend the material.

6. Break down the material: Divide the content into smaller chunks and focus on understanding each part. This can make the material more manageable and engaging.

7. Speak with your teacher: If you're consistently bored in class, consider discussing your concerns with your teacher. They may be able to offer suggestions or modify their teaching approach to better suit your learning style.

Remember, it's essential to stay engaged in class to maximize your learning experience and make the most of your education.

Answer:

watch RUN BTS EPISODE simple

Answer:

the corresponding sides are proportional

Answer:

C. Points have no size and no dimensions.

Answer:

I think it is choice A and choice C

The chances of rolling between 20 and 40 aces (inclusive) in 180 rolls is approximately 0.9544 or 95.44%.

We can first standardize the values of 20 and 40 using the formula:

z = (x - μ) / σ

where x is the value we want to standardize (20 or 40), μ is the expected value (30), and σ is the standard deviation (5).

For x = 20, we get:

z = (20 - 30) / 5 = -2

For x = 40, we get:

z = (40 - 30) / 5 = 2

probability of getting a z-score between -2 and 2.

Using a standard normal distribution table or calculator, we find that the probability of getting a z-score between -2 and 2 is approximately 0.9544.

Therefore, the chances of rolling between 20 and 40 aces (inclusive) in 180 rolls is approximately 0.9544 or 95.44%.

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Answer:A,D

Step-by-step explanation:

y = [5.3, 27]

x= [-1,3]

(a) The lesson time in 2007 is 11.1% more than the lesson time in 2006.

(b) The lesson lasted 40 minutes in 2005.

(c) James will take 180 seconds to swim 100 meters in a year's time.

(d)  Robert will also take 180 seconds to swim 100 meters in a year's time.

(e) James and Robert will swim equally which means that their speed will be same and they will be complete at same time.

(a) The increase in lesson time from 2006 to 2007 is:

Increase = 50 - 45 = 5 minutes

The percentage increase is:

Percentage increase = (5 / 45) x 100% = 11.1%

Therefore, the lesson time in 2007 is 11.1% more than the lesson time in 2006.

(b) Let x be the lesson time in 2005. The lesson time in 2007 is 25% more than it was in 2005, so:

1.25x = 50

Solving for x, we get:

x = 40

Therefore, the lesson lasted 40 minutes in 2005.

(c) James currently takes 240 seconds to swim 100 meters. If he improves his time by 25%, his new time will be:

New time = 240 - (0.25 x 240) = 180 seconds

Therefore, he will take 180 seconds to swim 100 meters in a year's time.

(d) Robert currently takes 240 seconds to swim 100 meters. If he increases his speed by 25%, his new time will be:

New time = 240 - (0.25 x 240) = 180 seconds

Therefore, he will also take 180 seconds to swim 100 meters in a year's time.

(e) Both James and Robert will take the same time to swim 100 meters in a year's time, so they will be equally fast.

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Adding the number 6 to the given dataset did not affect the mode, as the number 19 still appeared the most frequently in the new dataset. (option c).

Now, if we add the number 6 to this dataset, we need to determine how this will affect the mode. We can start by looking at the number 19, which was the original mode. If the number 19 still appears the most frequently in the dataset after the addition of the number 6, then the mode will remain 19. However, if another number appears more frequently than 19 after the addition of 6, then the mode will change.

In this case, the number 6 does not appear anywhere in the original dataset, so it cannot be the mode. Therefore, the mode can either remain as 19 or change to a new number, depending on whether any other number appears more frequently than 19 after the addition of 6.

To determine if the mode changes, we need to calculate the frequency of each number in the new dataset. After adding 6, the dataset becomes:

18 24 19

19 18 20

26 25 19

6

From this dataset, we can see that the number 19 still appears twice, while all other numbers appear only once. Therefore, the mode of the new dataset is still 19, and the answer to your question is (C) "The mode will change to one number."

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Complete Question:

What happens to the mode of the data set shown below if the number 6 is added?

18 24 19

19 18 20

26 25 19

A The mode will change to two numbers.

B The mode will increase by 4.

C The mode will change to one number.

D The mode will increase by 2.

The correct inequality to represent the normal temperature range of a dog is |t − 101.8| ≤ 0.7. So, correct option is B.

Here, |t - 101.8| represents the absolute value of the difference between the body temperature of the dog (t) and the average temperature of dogs (101.8° F). The inequality states that this absolute value must be less than or equal to 0.7° F, which is the maximum amount that the temperature of a dog can vary from the average.

If the temperature of a dog is within this range, it is considered to have a normal body temperature. If the temperature is outside this range, it may indicate an underlying health issue or illness.

The other answer choices are incorrect because they do not accurately represent the relationship between the body temperature of a dog and the normal temperature range. For example, |t - 0.7| ≥ 101.8 makes no sense in the context of the problem, as there is no logical reason to subtract 0.7 from the body temperature.

So, correct option is B.

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Integration of   [tex]\int\limits^6_0 {\frac{8}{1+74e^{-0.3t} } } \, dt[/tex]   is 2.199.

We can solve this integral using the substitution method, where u = 1 + 74[tex]e^{-0.3t}[/tex] . Taking the derivative of both sides, we have du/dt = -222[tex]e^{-0.3t}[/tex] .

We can rewrite the integral in terms of u:

∫[8/(1+74[tex]e^{-0.3t}[/tex] )]dt = ∫[8/u * (-1/222) * (-222[tex]e^{-0.3t}[/tex] )]du

Simplifying this expression, we have:

= (-8/222) ∫[1/u] du

= (-4/111) ln|u| + C

where C is the constant of integration.

Substituting back for u, we have:

= (-4/111) ln|1 + 74[tex]e^{-0.3t}[/tex] | + C

To evaluate the definite integral from 0 to 6, we plug in the limits of integration:

= (-4/111) [ln | 1 + 74[tex]e^{-0.3(6)}[/tex] | - ln | 1 + 74[tex]e^{-0.3(0)}[/tex] |]

= (-4/111) [ln|1 + 74[tex]e^{-1.8}[/tex]| - ln75]

≈ 2.199

Therefore, the value of the definite integral is approximately 2.199.

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Answer: The correct answer is (5, 11π/6). or C

Step-by-step explanation:

The polar coordinates of the point (x, y) = (5√3/2, -5/2) are (r, θ) = (5, 11π/6).

Explanation:

Using the formulas for converting Cartesian coordinates to polar coordinates:

r = √(x^2 + y^2)

θ = atan2(y, x)

Plugging in the given values:

r = √((5√3/2)^2 + (-5/2)^2)

= √(75/4 + 25/4)

= √(100/4)

= 5

θ = atan2(-5/2, 5√3/2)

≈ 11π/6 radians

So, the correct polar coordinates of the point (5√3/2, -5/2) are (r, θ) = (5, 11π/6).