a piece of pipe is 40in. long. It is cut in to 3 pieces. the longest piece is 3 times as long as the middle sized piece and the shortest piece is 23 in. shorter than the longest piece. Find the lengths of all 3 pieces of pipe.​

"No greater than" means that the number could be "less than or equal" to 20.

Therefore,

n − 6 ≤ 20

Add 6 to both sides.

n − 6 + 6 ≤ 20 + 6

n ≤ 26

(a) The zero vector in the space of degree three polynomials is the polynomial with zero coefficients, i.e., p(x) = 0 for all x.

In mathematics, a vector is an ordered collection of numbers, typically referred to as scalars.

(b) The zero vector in the space of matrices is the matrix with all elments equal to zero, i.e., A = [0, 0, ..., 0] where A is an m x n matrix.

(c) The zero vector in the space of continuous functions is the constant function with value zero, i.e., f(x) = 0 for all x.

(d) The zero vector in the space of real-valued functions of one natural number variable is the function that maps every natural number to zero, i.e., f(n) = 0 for all natural numbers n.

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Answer:

 =  − 1

Step-by-step explanation:

Answer:

If we're taking in terms of square roots (that are in the equation I'm working with), then your answer would be:

x = -12

The 95 percent confidence intervals for µ is (50.049, 51.071) and for 99 percent confidence intervals is (49.903, 51.247).

What is confidence interval?

A confidence interval is defined as the estimate's mean plus and minus the estimate's range.

We are given that the mean(x) = 50.560, s = 1.68, and the sample size is over 30.

Using the formula, we get

95% confidence interval

⇒Mean(x) (+/-) 1.96 (1.68/v40)  

⇒(50.560 - 0.511 , 50.560 + 0.511)

⇒(50.049, 51.071)

99% confidence interval

⇒Mean(x) (+/-) 2.576 (1.65/v40)

⇒(50.560 - 0.672, 50.560 + 0.672)

⇒(49.888, 51.232)

Hence, the 95 percent confidence intervals for µ is (50.049, 51.071) and for 99 percent confidence intervals is (49.903, 51.247).

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Only set B: (-1,-3), (4,2), (6,4) appears to lie on the graph of a linear function, as the slopes between any two points remain constant.

To determine which set of points appears to lie on the graph of a linear function, we can check if the slope between any two points remains constant.

Let's calculate the slopes for each set of points:

A. (0,2), (3,1), (4,6)

The slope between (0,2) and (3,1):

m1 = (1 - 2) / (3 - 0) = -1/3

The slope between (3,1) and (4,6):

m2 = (6 - 1) / (4 - 3) = 5

We can see that the slopes are not equal, so this set of points does not lie on the graph of a linear function.

B. (-1,-3), (4,2), (6,4)

The slope between (-1,-3) and (4,2):

m1 = (2 - (-3)) / (4 - (-1)) = 5/5 = 1

The slope between (4,2) and (6,4):

m2 = (4 - 2) / (6 - 4) = 2/2 = 1

The slopes are equal, so this set of points appears to lie on the graph of a linear function.

C. (-3,-2), (0,0), (2,4)

The slope between (-3,-2) and (0,0):

m1 = (0 - (-2)) / (0 - (-3)) = 2/3

The slope between (0,0) and (2,4):

m2 = (4 - 0) / (2 - 0) = 4/2 = 2

The slopes are not equal, so this set of points does not lie on the graph of a linear function.

D. (5,-7), (0,-2), (2,2)

The slope between (5,-7) and (0,-2):

m1 = (-2 - (-7)) / (0 - 5) = 5/(-5) = -1

The slope between (0,-2) and (2,2):

m2 = (2 - (-2)) / (2 - 0) = 4/2 = 2

The slopes are not equal, so this set of points does not lie on the graph of a linear function.

Based on the calculations, only set B: (-1,-3), (4,2), (6,4) appears to lie on the graph of a linear function, as the slopes between any two points remain constant.

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Answer:

16

Step-by-step explanation:

Step 1: Write down the function \(f(x)=7x^2+2x+3.\)

Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)

Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)

Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)

Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)

Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)

Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)

Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)

Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)

The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)

The digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number,

A rational number is a number that can be expressed as a ratio or fraction of two integers (a numerator and a non-zero denominator).

We can see that the next three digits in the decimal points are 6, 6 and 6, respectively. Therefore, the decimal equivalent of 22/6 is:

22/6 = 3.666666...

We notice that the digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number, which means that its decimal representation either terminates (ends) or repeats in a pattern. In this case, it repeats in a pattern of 6's.

Each of the digits after the decimal point will be 6 because this number is a rational number and repeating decimal with a repeating digit of 6.

The difference between 40 and the product of these digits and 6 is always 4.

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Answer:

Whichever one is underlined, it's the one directly to the right of it.

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm gaAy and I want some imma boy

The IQR is the best measure of variability, and it equals 45.

Data variation can be caused by a variety of sources. Variability is also known as data spread. The standard deviation is a measure of variability since it measures the spread of data.

The range is the best measure of variability for the data shown, and its value is 45.

The range is defined as the difference between the largest and smallest values in a set of data.

In this case, the largest score is 88 and the smallest score is 20, so the range is 88 - 20 = 68.

The IQR (interquartile range) is another measure of variability, but it is not the best measure for this data set because the data set has only a few values and does not form a normal distribution. The IQR is a more appropriate measure for larger data sets that form a normal distribution.

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Answer:

36

Step-by-step explanation:

(r∘q)(2)=

= ((3x)^2(2)

=(3*2)^2

=6^2

=36

The calculated measure of m∠PNM is 87 degrees

from the question, we have the following parameters that can be used in our computation:

The circle

Where, we have

PM = 360 - 64 - 122

Evaluate

PM = 174

Next, we have

m∠PNM = 1/2 * 174

So, we have

m∠PNM = 87

Hence, the measure of m∠PNM is 87 degrees

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Answer:

1/12 gallons

Step-by-step explanation:

We can determine how much more hot chocolate than apple cider die Joe serve by subtracting 1/12 from 1/6.

Step 1:  Since 1/12 has the bigger denominator and 6 * 2 = 12, let's give 1/6 the same denominator as 1/12 by multiplying the entire fraction by 2/2

(1/6) * (2/2) = 2/12

Step 2:  Now we can subtract 1/12 from 2/12:

2/12 - 1/12 = 1/12

Thus, Joel served 1/12 more gallons of hot chocolate than apple cider.

according to the graph the ansswer is the system of inequalities is A

The measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

Join the points B and O and then join points D and O

Angle A = (1/2)Angle BOD

Angle B = 140 degrees

Angle A = (1/2)140 degrees

Angle A = 70 degrees

Thus, the measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.

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Answer:

Hello

Step-by-step explanation:

The answer is 6 1/2

The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.

To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:

chain speed = 2 x pi x radius x rotational speed

where pi is a mathematical constant approximately equal to 3.14.

We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:

60 = 2 x 3.14 x radius x 40

Simplifying the equation, we get:

radius = 60 / (2 x 3.14 x 40)

radius = 0.2387 ft

To convert feet to inches, we can multiply the answer by 12:

radius = 0.2387 x 12 = 2.8644 inches.

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Answer:

Step-by-step explanation:

the volume of a rectangle is length x width x height, so the volume of the first rectangle is 2700.

the square has a length and width of 15 with a missing height. because they have the same volume, you can plug in the length and width of the square with the volume of the prism to find the height

v = length x width x height

2700 = (15)(15)h

2700/225 = h

the height is 12

The equation for calculating the volume of a rectangle is shown below:

volume= length × width × height.

Hence, the height of the second prism is \(12\).

What is the volume of the rectangle?

The equation for calculating the volume of a rectangle is shown below:

volume= length × width × height.

A rectangular prism has a base with a length of \(25\)

A rectangular prism has a base with a width of \(9\)

A rectangular prism has a base with a height of \(12\)

The volume of a first rectangular prism is

\(v=(25)(9)(12)\\v=2700\)

A second prism has a square base with a side of \(15\) as we know the sides of the square are equal so by substituting the values in length and width we find out the height of second rectangular prism

\(v=(15)(15)h\\2700=225(h)\\h=\frac{2700}{225}\\h=12\)

Hence, the height of the second prism is \(12\).

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Answer:

200,000

Step-by-step explanation:

The 5 next to the 1 causes the 1 to turn to a 2

Answer: 153,000

Step-by-step explanation:

When rounding, if the number you are using to round(in this case, the 3 in the hundreds place) is less than 5 round down(keep the numbers the same). If the number is greater than 5, round up(It would be 154,000 but due to the 3, it is not)

the probability that x is 4 is given by the formula  P(x) = \((1 - p)^(x-1) * p\)

The formula for the probability of a geometric distribution is \(P(x) = (1 - p)^(x-1) * p\)

Given the probability of success (p) is 0.3, the probability of x being 4 would be:\(P(x) = (1 - 0.3)^(4-1) * 0.3\)

P(x) = 0.0729 or 7.29%

The geometric distribution is a probability distribution for the number of failures before the first success in a series of independent trials.

In this problem, the probability of success (p) is 0.3 and the probability of failure (1-p) is 0.7.

Therefore, the probability that x is 4 is given by the formula  \(P(x) = (1 - p)^(x-1) * p\)

Plugging in the values of p and x, we get:

\(P(x) = (1 - 0.3)^(4-1) * 0.3\)

This simplifies to

P(x) = 0.0729 or 7.29%

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Answer:

It represents 5 miles in 5 minutes

Step-by-step explanation:

Because, if the bycicleist travels 1 mile in 1 minute, in 5 minutes he traveled 5 miles

Answer:

Step-by-step explanation:

Bello,

\(\dfrac{u(x)}{v(x)}=\dfrac{x^5-x^4+x^2}{-x^2}=-x^3+x^2+1\)

thanks

Answer: -x^3 + x^2 -1

answer c 2021

Step-by-step explanation:

Answer:

He pays income tax of 1175 a year

Step-by-step explanation:

Mr. Ekpeh Salary PY = 4700

so 4700 / 100% = 47

1% = 47

47x25% = 1175

so income tax = 1175 a Year

Answer:

1,000 days

Step-by-step explanation:

6 tires per minute = 600 per hour

600 per hour times 10 hours = 6,000 per day

Divide 6,000,000 by 6,000 per day = 1000 days.

The number of years it will it take for the account to grow to at least $1500 is 4

The formula for simple interest is given as:

A = P ( 1 + rt)

Where:

Substitute the values

1500 = 1000 ( 1 + 5t)

Divide both sides by 1000

1500/ 1000 = 1 + 5t

1. 5 = 1 + 5t

collect like terms

1. 5 - 1 = 5t

0. 5 = 5t

Make 't' the subject of formula

t = 5/ 0. 5

t = 10 years

Thus, the number of years it will it take for the account to grow to at least $1500 is 4

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A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.

Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.

For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.

This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.

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