a machine holds a spool with 32 yd of ribbon. the machine uses at a rate of 4 ft per min. how long does it take the machine to use all the ribbon from the spool? show your work. 1 yd = 3ft​

To determine the maximum number of 2/0 AWG THW aluminum compact conductors permitted in a 2½-inch PVC conduit, Schedule 80, we need to consult the applicable electrical code or standards.

The number of conductors allowed in a conduit is typically governed by factors such as fill capacity and heat dissipation.

The specific requirements may vary depending on the jurisdiction and the electrical code being followed. It is recommended to consult the local electrical code or a qualified electrician to ensure compliance with the regulations in your area.

They will be able to provide the precise guidelines and restrictions for conductor fill capacity based on the conduit size, type, and the specific application.

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The sampling technique is called "simple random sampling."

In the field of statistics, the process of sampling is used to select a subset of individuals or units from a larger population to study and analyze.

The goal of sampling is to gather data that can be used to make accurate and reliable inferences about the characteristics of the entire population.

One of the most common and straightforward methods of sampling is simple random sampling.

In this technique, each member of the population has an equal chance of being selected to be a part of the sample.

The process of selecting individuals for the sample is usually done through a randomization process, which ensures that each member of the population has an equal probability of being chosen.

Simple random sampling is considered to be an unbiased method of sampling because it ensures that all members of the population have an equal chance of being selected.

This helps to minimize the potential for sampling bias, which is a type of error that can occur when the sample selected is not representative of the entire population.

To implement simple random sampling, researchers can use various methods, including a random number generator or drawing names from a hat.

The sample size required for simple random sampling will depend on the size of the population and the level of precision required for the study.

Overall, simple random sampling is a powerful tool for gathering data that can be used to make accurate and reliable inferences about the characteristics of a larger population.

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Answer:

1/10

Step-by-step explanation:

if you add all of it it becomes 10/10

Answer:

74

Step-by-step explanation:

To solve the equation we need to know about expression.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

t can be written as  \(\rm{ \dfrac{I}{ p \times r}\).

Given to us

As the equation given to us, solving it for t,

\(\rm{ I = p \times r\times t\)

\(\rm{ t =\dfrac{I}{ p \times r}\)

Hence, t can be written as  \(\rm{ \dfrac{I}{ p \times r}\).

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The concept of "equally likely outcomes" refers to the idea that every possible outcome in a given sample space has an equal chance of occurring. In other words, if we were to conduct the experiment multiple times, each possible outcome would have an equal probability of being observed.

In the case of rolling a fair die, the sample space consists of the numbers 1 through 6, and each of these outcomes has an equal probability of occurring. This is because the die is assumed to be fair, meaning that each side has an equal chance of landing face-up.

However, in the case of a loaded die, the sample space does not have equally likely outcomes. This is because the probabilities of each outcome are not equal. A loaded die is one that has been manipulated in some way so that certain outcomes are more likely than others. For example, if the loaded die has been weighted to favor the number 6, then the probability of rolling a 6 would be higher than the probability of rolling any of the other numbers.

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Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

Answer: opposite/hypotenuse

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the equation h=6d, the independent variable is d, which represents the number of days. The dependent variable is h, which represents the height of the plant that depends on the number of days it has been growing.

Answer:

A

Step-by-step explanation:

6*13+6*7

because 6 in both side

6(13+6)

The expression 6 · 13 + 6 · 7 is equivalent to the expression 6(13+6) after using the distributive property option (A) is correct.

The distributive property is the property that expresses the distributive law of algebraic multiplication. Similarly, in polynomial expression we can use the distributive property, for example, we can write a(c+b)  in the form of (ac+bc).

It is given that:

The expression is:

6 . 13 + 6 . 7

In the above expression 6 is common in both terms.

We can write the above expression as:

6(13 + 6)

Thus, the expression 6 · 13 + 6 · 7 is equivalent to the expression 6(13+6) after using the distributive property option (A) is correct.

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Answer:

The second choice.

Step-by-step explanation:

Correspond sides are in the same ratio

12/4 =  x/8

.

9514 1404 393

Answer:

  62°

Step-by-step explanation:

The measure of the external angle where the secants meet is half the difference of the arcs they subtend.

  ∠A = (DE - BC)/2

  2×∠A = DE -BC

  DE = BC + 2×∠A

  DE = 38° +2(12°)

  arc DE = 62°

The probability of having a 5-card hand that is a flush or royal flush is 0.00196

Probability: Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Flush, straight flush, and royal flush probabilities are calculated as follows: 5148/2598960≅0.00198

A flush's likelihood (while eliminating straight and royal flushes) is 5108/2598960, ≅0.00196.

Finding the fraction with the number of ways to have a flush as the numerator and the number of possible five-card hands as the denominator will allow us to determine the likelihood.

Combinations will be used to find each of these numbers (we don't care about the draw order; only about what shows up in our hand). Combinations' general formula is Cn,k=n!/(k)!(n-k)! with k=picks and n=population

Let's first determine the denominator by selecting 5 cards at random from a deck of 52 cards: C52,5=52!/(5)!(525)!

=52!/(5!)(47!)

Let's assess it!

52×51×50^10×49×48^2×47!/5×4×3×2×47!=52×51×10×49×2=2,598,960

Let's now determine the numerator.

In order to examine each hand with five cards of the same suit, we will compute all hands that feature a flush (including straight flushes, royal flushes, and flushes) (with a suit having 13 cards in total). We can say that we understand this by:

C13,5

Remember that there are 4 suites in which this might occur, but we only want 1, so multiply by C4,1. Putting it all together, we obtain:

C4,1×C13,5=4!/(1!)(4−1)!×13!/(5!)(13−5)!=4!13!/3!5!8!

Let's assess this.

4!×13×12×11×10×9^3×8!/3×2×5×4!×8!=13×12×11×3=5148

(Remember that we just calculated all hands, including straight flushes and royal flushes, that have a flush component to them!

The probability of getting a hand with a flush is:

5148/2598960≅.00198

We may exclude straight and royal flush possibilities from the 5148 flush hands by excluding those hands (which are hands with 5 consecutive value cards in the same suit, such as 3, 4, 5, 6, and 7 of hearts). Since there are four suits and 10 potential ways to get a straight (A-5, 2-6, 3-7,..., 10-A), we can subtract 4 from 5148 to get 5108 hands, which gives us the result 5108/2598960=0.00196.

The probability of having a 5-card hand that is a flush or royal flush is 0.00196

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The value of the given definite integral, evaluated from 2 to 11, is approximately -1.112 × 10¹⁶ j - 9.516 k - 1.333.

We are given the definite integral to evaluate:

∫₂¹¹ [(sec²(t) i) + (t(t² + 1)⁵ j) + (6 ln(t) k)] dt + 2 ∫₂¹¹ [(-1/2) sec²(t) dt] - 1/12 ∫₂¹¹ [12/t²] dt

We first integrate each component of the integral separately with respect to t:

∫ sec²(t) dt = tan(t) + C₁

∫ t(t² + 1)⁵ dt = 1/6 (t² + 1)⁶ + C₂

∫ 6 ln(t) dt = 6 ln(t) - 6 t + C₃

∫ (-1/2) sec²(t) dt = (-1/2) tan(t) + C₄

∫ (12/t²) dt = -12/t + C₅

where C₁, C₂, C₃, C₄, and C₅ are constants of integration.

We substitute the limits of integration (2 and 11) into the respective expressions and compute the differences:

∫₂¹¹ [(sec²(t) i) + (t(t² + 1)⁵ j) + (6 ln(t) k)] dt = [(tan(11) - tan(2)) i + (1/6)(11² + 1)⁶ - (1/6)(2² + 1)⁶ j + (6 ln(11) - 6 ln(2) - 66) k]

2 ∫₂¹¹ [(-1/2) sec²(t) dt] = 2[(-1/2) tan(11) + (1/2) tan(2)]

1/12 ∫₂¹¹ [12/t²] dt = 1/12 [(-12/11) + 12/2]

Substituting the values obtained from Separating the values of integral into the original expression, we obtain:

[(tan(11) - tan(2)) i + (1/6)(11² + 1)⁶ - (1/6)(2² + 1)⁶ j + (6 ln(11) - 6 ln(2) - 66) k] + 2[(-1/2) tan(11) + (1/2) tan(2)] - 1/12 [(-12/11) + 12/2]

Simplifying the expression:

[(1/6)(11² + 1)⁶ - (1/6)(2² + 1)⁶ j + (6 ln(11) - 6 ln(2) - 66) k] - (11/6) + 1

Finally, we approximate the value of the expression as:

-1.112 × 10¹⁶ j - 9.516 k - 1.333

This is the final value of the given definite integral, evaluated from 2 to 11.

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Answer:

b=4  c=7

Step-by-step explanation:

I think not positive

Answer:

453+557 = 1010

hence b is 5 and c is 3

Answer:

1.5^2 = 2.25

(it looks like 1.5 but if it's 15 then it would be 225)

Step-by-step explanation:

1.5^2 means (1.5*1.5) you multiply the number by itself by how many it says to do. So if it were 1.5^52 you would multiply 1.5 by 1.5, 52 times.

Answer:

-1

Step-by-step explanation:

Use slope formula.

y2-y1/x2-x1

(2, -1) and (-3, 4)

4+1/-3-2=

=5/-5=-1

The slope is -1. The line is slanted down from left to right.

Hope this helps!

Please mark as brainliest if correct!

Answer:

y = - x + 1

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 )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, - 1 ) and (x₂, y₂ ) = (- 3, 4 )

m = \(\frac{4-(-1)}{-3-2}\) = \(\frac{4+1}{-5}\) = \(\frac{5}{-5}\) = - 1 , then

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 3, 4 )

4 = 3 + c ⇒ c = 4 - 3 = 1

y = - x + 1 ← equation of line

The sum of the infinite geometric series is -288.

A finite geometric series with n = 4, a₁ = -144, and r = ½.

What is the sum of the infinite geometric series?

The sum of the infinite is determined by the following formula;

\(\rm S_\infty = \dfrac{a_1(1-r^n)}{1-r}\)

A finite geometric series with n = 4, a₁ = -144, and r = ½.

Substitute all the values in the formula;

\(\rm \rm S_\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\ S\infty = \dfrac{-144(1-\dfrac{1}{2}^{4})}{1-\dfrac{1}{2}}\\\\ \rm S_\infty = \dfrac{-144 \times \dfrac{15}{16}}{\dfrac{1}{2}}\\\\ \rm S_\infty = -270\)

Therefore,

The sum of the infinite geometric series is,

\(\rm S = \dfrac{a_1}{1-r}\\ \\ S = \dfrac{-144}{1-\dfrac{1}{2}}\\ \\ S = \dfrac{-144}{0.5}\\ \\ S = -288\)

Hence, the sum of the infinite geometric series is -288.

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n(x) is a vertical dilation of scale factor 4 followed by a translation of 2 units upwards of the parent linear function.

The parent linear function is:

f(x)= x

And the function n(x) is:

n(x) = 4x + 2

If first we apply a vertical dilation of scale factor 4 to the parent linear function, we will get:

n(x) = 4*f(x)

And if now we apply a translation of 2 units upwards, then we get:

n(x) =4*f(x) + 2

Replacing f(x) by x we get:

n(x) = 4*x + 2

And we returned to n(x), so these are the transformations that define our function in terms to the parent function.

And the slope 4 means that each month 4 books are added, the y-intercept 2 means that she starts with 2 books.

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Step-by-step explanation:

Hey there!!

It 's so simple.

You remember common property of triangle. (i.e sum of interior angle of a triangle is 180°)

So,

77° + 31° + x = 180°

x + 108° = 180°

x = 180° - 108°

Therefore the measure of angle x is 72°.

Hope it helps....

The given statement is correct.

Hence it is true.

We have a statement regarding the quadratic equations.

We have to verify whether it is true or not.

Since we know that,

A quadratic equation is an equation with a single variable of degree 2. Its general form is ax² + bx + c = 0, where x is variable and a, b, and c are constants, and a ≠ 0.

According to the question, we are provided with the standard form of the quadratic equation as -  ax² + bx + c = 0.

If we compare the statement given in the question with the definition discussed above, then it can be concluded that the given statement is true. Equation ax² + bx + c = 0 is the standard form of a quadratic equation with a, b, and c as constant real numbers.

The constant 'a' cannot be 0, as this would reduce the degree of the equation to 1.

Hence, the given statement is correct.

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Answer:181/250

Step-by-step explanation:

The thirty-fourth term of the arithmetic sequence is the thirty-second term plus the common difference, which is not equal to 0.

The thirty-fourth term of the arithmetic sequence is calculated by adding the common difference to the thirty-second term. The common difference is the amount by which each successive term increases or decreases. As the common difference is not equal to 0, the thirty-fourth term is not the same as the tenth or second terms. The second, tenth, and thirty-fourth terms form a geometric sequence, which means that the ratio between any two successive terms is always the same. This ratio is determined by the common difference of the arithmetic sequence, and the thirty-fourth term can be calculated by adding the common difference to the thirty-second term.

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Answer:

the answer interm of pie will be 18π

Step-by-step explanation:

circumference of circle is given as πD where D is the diameter , we have been given diameter as 18 , hence c=πD will be 18π

Answer:

Step-by-step explanation:

t is the number of hours

12.24+0.11t = 12.74-0.15t

0.11t + 0.15t = 12.74 - 12.24

0.26t = 0.5

t= 0.5/0.26

t= 1.92 hours

approx to 2 hours

Answer:

\(\boxed{\textbf{a}-\dfrac{3}{2}\textbf{b}}\)

\(\boxed{10 \textbf{a}-15\textbf{b}}\)

\(\boxed{-4 \textbf{a}+6\textbf{b}}\)

\(\boxed{2\textbf{a}-12\textbf{b}+4\textbf{a}+3\textbf{b}}\)

Step-by-step explanation:

Given vector:

\(\overrightarrow{\rm FG}=2 \textbf{a}-3\textbf{b}\)

Two vectors are parallel if one can be written as a scalar multiple of the other.

Therefore, the following vectors are parallel to FG:

\(\textbf{a}-\dfrac{3}{2}\textbf{b}=\dfrac{1}{2}(2 \textbf{a}-3\textbf{b})\)

\(10 \textbf{a}-15\textbf{b}=5(2 \textbf{a}-3\textbf{b})\)

\(-4 \textbf{a}+6\textbf{b}=-2(2 \textbf{a}-3\textbf{b})\)

\(2\textbf{a}-12\textbf{b}+4\textbf{a}+3\textbf{b}=6\textbf{a}-9\textbf{b}=3(2 \textbf{a}-3\textbf{b})\)

Step-by-step explanation:

(2*3-3*2-8)-(-5*3-2*2+7*2-3)

(6-6-8)-(-15-4+14-3)

(12-8)-(-15-18-3)

4-33-3

37-3

34