What is the difference of -6-(-7)?

The tip of the minute hand on a clock travels approximately 26.4 cm in 11 minutes if the minute hand is 23 cm long.

What is Circle?

A circle is a two-dimensional geometric shape that is defined as the set of all points in a plane that are a fixed distance away from a given point, called the center of the circle. This distance is known as the radius of the circle.

A circle can also be defined as the locus of a point that moves in a plane in such a way that its distance from a fixed point is constant. The constant distance is the radius of the circle.

The minute hand on a clock makes a full rotation in 60 minutes, which means it travels the circumference of a circle with a radius of 23 cm in 60 minutes. The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14.

Therefore, the circumference of the circle traced by the tip of the minute hand is:

C = 2πr = 2 × 3.14 × 23 cm ≈ 144.44 cm

To find out how far the minute hand travels in 11 minutes, we need to calculate what fraction of the circumference it covers in that time. Since 11 minutes is about 18.3% of an hour (60 minutes), the minute hand travels 18.3% of the circumference of the circle in that time:

Distance traveled = 0.183 × 144.44 cm ≈ 26.4 cm

Therefore, the tip of the minute hand on a clock travels approximately 26.4 cm in 11 minutes if the minute hand is 23 cm long.

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Answer:

Removing the outlier lowers the standard deviation by 1.09

Step-by-step explanation:

Find the standard deviation of the data WITHOUT the outlier first.

If you don't know how to do standard deviation, here are the steps:

1. Find the mean

2. Subtract the mean by the data set values

3. Square the differences

4. Add the squared numbers together and divide by the number of data set values

5. What you have now is the variance, and all you have to do now is square the variance and you have the standard deviation

Repeat this, but WITH the outlier this time.

Final step, just subtract the smaller number (answer you got from the data with the outlier) by the greater number (answer you got from the data without the outlier) and you have your answer: 1.09!

The median exceeds the mean by more. The histogram is skewed to the right, which shows that lower values are dragging down the mean.

The median of the histogram on the right is higher than the mean. This is evident from the histogram's form, which is tilted to the right. This shows that the lower values tend to drag the mean down. The median is greater than the mean. The right-handed skewness of the histogram indicates that the mean is being pulled down by lesser values and However, because it is the centre number and is only impacted by the higher and lower values equally, the median is unaffected by the lower values. Because of this, the mean in this histogram is less than the median.

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Answer:

H. 94.0

Explanation:

The original list: \(a _1\) \(a _2\) \(a _3\) \(40\)

The new list: \(a_1\) \(a_2\) \(a_3\) \(48\)

\(\frac{a_1+a_2+a_3+40}{4} =92\)

\(a_1+a_2+a_3=92\) × \(4-40=328\)

\(\frac{a_1+a_2+a_3+48}{4} =\frac{328+48}{4} =94\)

The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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Answer:

20

Step-by-step explanation:

that is right...........

Answer: 4x² + 2x + 9

Step-by-step explanation:

Given that :

Area of rectangle (A) = 4x³−6x²+5x+8

Width of rectangle (W) = x - 2

Recall:

A = length (L) * W

L = A / W

Using long division :

(4x³−6x²+5x+8) ÷ (x - 2)

Kindly check attached picture for the calculation using long division.

It is better written on a notebook. Thank you.

The growth rate of the bacterial colony after 3 hours is 32%, the population of a slowly growing bacterial colony after t hours is given by the function p(t) = 100 + 24t + 2t²

The growth rate of the colony is the rate of change of the population, which is given by the derivative of the function. The derivative of p(t) is p'(t) = 24 + 4t

The growth rate after 3 hours is p'(3) = 24 + 4 * 3 = 32. This means that the population of the colony is increasing by 32% after 3 hours.

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Answer:

20/35

Step-by-step explanation:

The framed wall art Modern is 20 and the total is 35  so unless you have to simplify this should be the answer

Answer:

one of the options are correct

Step-by-step explanation:

Given the expression 2 + 32*5-3, we are to locate the point where parenthesis will be placed to get 44;

There is no point where we are we are going to put parenthesis to get 44

For Option A :

2+32×(5−3)

= 2+ 32 * 2

According to PEMDAS, multiplication is next in precedence

= 2(32*2)

= 2(64)

= 128

For Option B:

2+(32*5)-3

= 2+160-3

= 162-3

= 159

For Option C:

(2+32) * 5 - 3

= 34 * 5 -3

= 170-3

= 167

For Option D:

(2+3)2*5 - 3

5(2)*5 - 3

10*5 -3

= 50 - 3

= 47

From the expansion, none gave us 44, hence none of the options are correct

The functions f and g that could accurately represent the given composite function (fg)(x) = h(x), where h(x) = √(6x + 4) is :

(E) None of these.

We can test each option by computing (fg)(x) and verifying if it matches the given h(x).

(A) f(x) = 6x + 4 and g(x) = √x:

(fg)(x) = (6x + 4) √x ≠ √(6x + 4) ≠ h(x)

(B) f(x) = √(6x + 4) and g(x) = x:

(fg)(x) = √(6x + 4) * x ≠ √(6x + 4) ≠ h(x)

(C) f(x) = x and g(x) = √(6x + 4):

(fg)(x) = x √(6x + 4) = √(x^2(6x + 4)) ≠ √(6x + 4) ≠ h(x)

(D) f(x) = √x and g(x) = 6x + 4:

(fg)(x) = √x * (6x + 4) = √(x(6x + 4)) = √(6x^2 + 4x) ≠ √(6x + 4) ≠ h(x)

None of the options (A), (B), (C), or (D) accurately represent the functions f and g for the given composite function (fg)(x) = h(x) = √(6x + 4).

Therefore, (E) none of the provided options accurately represent f and g.

The correct question is :

If (fg)(x) = h(x) such that h of x is equal to the square root of the quantity 6 times x plus 4 end quantity which of the following could accurately represent f and g?

(A) f(x) = 6x + 4 and g(x) = √x

(B) f(x) = √(6x + 4) and g(x) = x

(C) f(x) = x and g(x) = √(6x + 4)

(D) f(x) = √x and g(x) = 6x + 4

(E) None of these.

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In mathematics, the operation in question is function composition. For example, with h(x) = x^2 + 2, f(x) could be x^2 and g(x) could be x + 2, since substituting g(x) into f gives you the original function h(x).

In function composition, specifically (fg)(x), you are applying function g to x, and then applying function f to the result. A simple example could be where h(x) = x^2 + 2.

An option for function f could be f(x) = x^2 and for function g could be g(x) = x + 2. This is because if you substitute g(x) into function f, f(g(x)) = (x + 2)^2, you get the original function h(x). Thus, the functions f and g meet the condition (fg)(x) = h(x).

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Answer:

2(-4x-2) +6 = 10 -3(x+1)

  -8x-4 + 6 = 10 -3x + 3

 -11x -4 + 6 = 10 + 3

     -11x + 2 = 13

           -11x = 15

Answer: D

Step-by-step explanation:

Answer:

2 < x < 12

Step-by-step explanation:

given 2 sides of a triangle then the third side x is in the interval

difference of 2 sides < x < sum of 2 sides , that is

7 - 5 < x < 7 + 5

2 < x < 12

third side could be 3, 4, 5, 6, 7, 8, 9, 10, 11

The Prism has a larger surface area than the pyramid.

Area is the amount of space occupied by a two dimensional shape or object.

Surface area of Prism = 2 * base area + 4(base length)(height)

Surface area of Prism = 2(6 * 6) + 4(6)(4) = 168 in²

Surface area of pyramid = (base area) + 2(base length)(slant height)

Surface area of pyramid = (6 * 6) + 2(6)(5) = 96 in²

The Prism has a larger surface area than the pyramid.

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Answer: 1 and 5  ?

i'm so confused o-o

Step-by-step explanation: i have no idea what i'm doing i just picked a random  answer, i'm very sorry if i'm wrong :c

Answer:

Do you have a picture, I can answer you faster?

\(10x+4y=16\\\\\implies 4y = 16-10x\\\\\implies y =\dfrac14(16-10x)\\\\\implies y = 4 - \dfrac 52 x\\\\\implies y=-\dfrac 52 x +4\\\\\text{This is the slope - intercept form (y=mx+b).}\)

Answer:

y = - 2.5x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

10x + 4y = 16 ( subtract 10x from both sides )

4y = - 10x + 16 ( divide through by 4 )

y = \(\frac{-10}{4}\) x + 4 , that is

y = - 2.5x + 4 ← in slope- intercept form

4

\(\mathbf{Based}\ \mathbf{on}\ \mathbf{the}\ \mathbf{given}\ \mathbf{conditions},\ \mathbf{formulate}:\)

\(32/8\)

\(\frac{32}{8}\)

\(4\)

I hope this helps you

:)

The solutions to the equation \(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

To solve the equation \(2/x - 1 = 16/(x^2 + 3x - 4),\) we'll simplify and rearrange the equation to isolate the variable x. Here's the step-by-step solution:

1. Start with the given equation: 2/x - 1 = 16/(x^2 + 3x - 4)

2. Multiply both sides of the equation by x(x^2 + 3x - 4) to eliminate the denominators:

\(2(x^2 + 3x - 4) - x(x^2 + 3x - 4) = 16x\)

3. Simplify the equation:

\(2x^2 + 6x - 8 - x^3 - 3x^2 + 4x - 16x = 16x\)

4. Combine like terms:

  -x^3 - x^2 + 14x - 8 = 16x

5. Move all terms to one side of the equation:

\(-x^3 - x^2 - 2x - 8 = 0\)

6. Rearrange the equation in descending order:

  -x^3 - x^2 - 2x + 8 = 0

7. Try to find a factor of the equation. By trial and error, we find that x = 2 is a root of the equation.

8. Divide the equation by (x - 2):

\(-(x - 2)(x^2 + x - 4) = 0\)

9. Apply the zero product property:

  x - 2 = 0 or x^2 + x - 4 = 0

10. Solve each equation separately:

   x = 2

11. Solve the quadratic equation:

   For x^2 + x - 4 = 0, you can use the quadratic formula or factoring to solve it. The quadratic formula gives:

 \(x = (-1 ± √(1^2 - 4(1)(-4))) / (2(1)) x = (-1 ± √(1 + 16)) / 2 x = (-1 ± √17) / 2\)

Therefore, the solutions to the equation\(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

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Answer: C - If the null hypothesis is true, the probability of observing a test statistic pf 1.592 or greater is 0.059

Step-by-step explanation:

The correct interpretation of the p-value is option C. If the null hypothesis is true, the probability of observing a test statistic of 1.592 or greater is 0.059.

In hypothesis testing, the p-value helps us determine the likelihood of obtaining a test statistic at least as extreme as the one observed, assuming the null hypothesis is true. In this case, the null hypothesis (H₀) states that B1 = 0, meaning there is no relationship between the number of times a song is listened to and recording sales. The alternative hypothesis (H₁) states that B1 > 0, suggesting a positive linear relationship between the variables. Since the test is one-tailed and we are testing for a positive relationship, we are looking for a test statistic of 1.592 or greater.

Based on the given p-value of 0.059, we can conclude that if the null hypothesis is true, there is a 5.9% chance of observing a test statistic of 1.592 or greater. This helps us to assess the strength of the evidence against the null hypothesis and make a decision whether to reject or fail to reject it based on a chosen significance level.

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Answer:

Check the explanation

Step-by-step explanation:

1 centimetre is = 0.01 meter

therefore the scale in Brennan drawing is 1 centimetre  is used to represent 7 metres

Answer:

1 cm:7 meters

Step-by-step explanation:

The scale drawing shows the length in the drawing, then a colon and the actual lenght of the object. The actual building is 147 meters long and the drawing is 21 centimeters long. From this, we have:

21 cm:147 meters

As both numbers can be divided by 21, you can simplify and you would have that the scale of the drawing is:

1 cm:7 meters

Answer:

Step-by-step explanation:

-Start by distributing the 2, -2(3m+1/2).

-Getting -6m-1, your equation should look like -40-6m-1=7m-2

-Combine -40 and -1 to get -41, and then add the -6m to the other side.

-The equation should look like -41=13m-2. Add the 2 to the -41 to get -39.

-Now, we have -39=13m. divide both sides by 13 to get m=-3.

The total surface area of a cylinder of radius 4 cm and height of 8cm in terms of pie is 96π cm².

Surface area of cylinder  = 2πr(r + h)

where

Therefore,

height  = 8 cm

radius = 4 cm

Hence,

Surface area of cylinder  = 2 × π × 4 (4 + 8)

Surface area of cylinder  = 8π(12)

Surface area of cylinder  = 96π cm²

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The statements that are true concerning the study that was carried out by the pharmaceutical company include the following: This study uses random sampling, This study uses blinding and This study uses a control group. That is option A, B and E.

A pharmaceutical company is defined as the company that has been certified to manufacture and distribute drugs such as the children's vitamin.

While selecting sample for the study, it was stated that 500 children grouped by age was randomly selected.

Out of the total samples, 250 was given the vitamin while the remaining half was given a placebo ( a blind) which would serve as concealment of the group allocation from them as they are serving as the control.

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Answer:

A,B,C,

Step-by-step explanation:

PLATO

Answer:

8 or -8

Step-by-step explanation:

Lets just say their net results equals x so -10+2=x

-10+2=-8 which i think you would take off the negitave and it would be an 8 I'm not sure sorry:(

Sorry I couldn't help

Answer:

1.49 hrs or 1 hr and 30 minutes approximately

Step-by-step explanation:

if fran go 2.8m up then the river flow at a rate of 0.8m; the since we are taking the speed of fran and river to be constant. the ratio between their speed will always remain constant. that is if 0.8/2.8 = 0.286≈ this will be always constant.

so if he go up 4m then the horizontal length has to be 1.143 because 1.143/4 = 0.286.

now we find the distance between frans initial positon and final position. to find it we use pythagoras theorem.

\(\sqrt{(4^2 + 1.143^2)} =4.160 miles\)

to find the time divide distance traveled by speed;

4.160/2.8 = 1.49 hrs

A scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.

Therefore, a scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.

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We have shown that for any given ε > 0, there exists a natural number N such that for all m, n > N, the absolute difference |((2m+1)/m) - ((2n+1)/n)| is less than ε. Therefore, the sequence (2n+1)/n is Cauchy.

Let's define what it means for a sequence to be Cauchy. A sequence is considered Cauchy if, for any arbitrarily small positive number, there exists a natural number N such that for any two terms of the sequence with indices greater than N, the difference between them is less than the chosen positive number. In other words, the terms of a Cauchy sequence get closer and closer together as the sequence progresses. To prove that the sequence (2n+1)/n is Cauchy, we must show that it satisfies the above definition. Let ε be any positive number. Then, for any two terms (2n+1)/n and (2m+1)/m with indices greater than N, we have: |(2n+1)/n - (2m+1)/m| = |(2nm + n - 2mn - m)/(mn)| = |(n-m)/(mn)|.

Since n and m are both greater than N, we can say that |n-m| is less than εN. Also, we know that n and m are both greater than or equal to N, so |mn| is greater than or equal to N^2. Therefore, we have:|(2n+1)/n - (2m+1)/m| < εN/N^2 = ε/N. Since ε is arbitrary, we can choose N to be any natural number greater than 1/ε. Therefore, we have shown that the sequence (2n+1)/n is Cauchy. In conclusion, we have proven that the sequence (2n+1)/n is Cauchy by showing that, for any arbitrarily small positive number, there exists a natural number N such that for any two terms of the sequence with indices greater than N, the difference between them is less than the chosen positive number.

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