A football field is 150 meters long. Karl takes 30 seconds to run the entire length. How fast was Karl running?

Quotients equal to 50

4500 ÷ 900 = 5

450 ÷ 90 = 5

45000 ÷ 900 = 50

4500 ÷ 90 = 50

450 ÷ 9 = 50

Answer:

45000 ÷ 900

The number of moles of carbon in the sample is approximately 38.4 moles.

The chemical formula for nickel tetracarbonyl is Ni(CO₄).

From the formula, we can see that there are four carbon atoms (C) in one molecule of nickel tetracarbonyl.

Given that there are 9.6 moles of nickel (Ni) in the sample, we can use the stoichiometry of the compound to determine the number of moles of carbon (C).

From the formula, we can see that the ratio of carbon to nickel is 4:1.

Therefore, for every 1 mole of nickel, there are 4 moles of carbon.

So, to find the number of moles of carbon, we can multiply the number of moles of nickel by the ratio:

Number of moles of carbon = 9.6 moles of nickel × (4 moles of carbon / 1 mole of nickel)

Number of moles of carbon = 9.6 moles × 4

Number of moles of carbon = 38.4 moles

Rounding to two significant digits, the number of moles of carbon in the sample is approximately 38.4 moles.

Hence the number of moles of carbon in the sample is approximately 38.4 moles.

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If speed is important and the array is large, the a. Binary search algorithm should be used. This algorithm is designed to efficiently search through sorted arrays by repeatedly dividing the search interval in half.

It has a time complexity of O(log n), which means that as the size of the array increases, the time it takes to search for an item will not increase at the same rate.
On the other hand, ascending bubble sort and other sorting algorithms such as selection sort and insertion sort have a time complexity of O(n^2), which means that as the size of the array increases, the time it takes to sort the array will increase exponentially. Therefore, these algorithms are not efficient for large arrays and should not be used if speed is important.
In summary, when dealing with large arrays and speed is important, binary search is the best algorithm to use for searching, while ascending bubble sort and other sorting algorithms with a time complexity of O(n^2) should be avoided.

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Inverse functions are indicated by the symbol \(f^{-1}\) and are functions whose inverse is the function itself (x).

A function takes in values, applies specific operations to them, and produces an output. The inverse function acts, agrees with the outcome, and returns to the initial function. The inverse function, which also returns the beginning value, returns the result of a function.

The relationship that results from swapping out an independent variable for a variable that depends on a given equation, and which may or may not be a function. Consider the inverse relationship between the functions f and g: f(g(x)) = g(f(x)) = x.

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\(\mathrm{Domain\:of\:}\:\left|x-6\right|-6\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\)

\(\mathrm{Range\:of\:}\left|x-6\right|-6:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:-6\:\\ \:\mathrm{Interval\:Notation:}&\:[-6,\:\infty \:)\end{bmatrix}\)

\(\mathrm{Axis\:interception\:points\:of}\:\left|x-6\right|-6:\quad \mathrm{X\:Intercepts}:\:\left(0,\:0\right),\:\left(12,\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:0\right)\)

\(\mathrm{Asymptotes\:of}\:\left|x-6\right|-6:\quad \mathrm{None}\)

\(\mathrm{Extreme\:Points\:of}\:\left|x-6\right|-6:\quad \mathrm{Minimum}\left(6,\:-6\right)\)

Answer:

y = -1/2x + 1

Step-by-step explanation:

The y-intercept can be determined since the line touches the y-axis at the point (0,1), making it 1. The slope can be determined since the line is going down negatively, down one half and right one, making it -1/2

Dividend must be put in AX register when using DIV or IDIV.  True.

In x86 assembly language, the DIV instruction is used for unsigned division, and the IDIV instruction is used for signed division. Both instructions require the dividend to be placed in the AX register.

The AX register is a 16-bit general-purpose register in the x86 architecture. It stands for "accumulator" and is commonly used for arithmetic operations. When using the DIV or IDIV instructions, the dividend value should be loaded into the AX register before executing the instruction.

The DIV instruction divides the contents of the AX register by the specified divisor, and the quotient is stored in the AX register. The remainder of the division operation is stored in the DX register.

Similarly, the IDIV instruction performs signed division. The contents of the AX register (the dividend) are divided by the specified divisor, and the signed quotient is stored in the AX register. The remainder is stored in the DX register.

By placing the dividend in the AX register, the DIV or IDIV instructions know where to find the value to be divided and where to store the result of the division operation. This ensures that the division operation is performed correctly and the resulting quotient or remainder is properly handled.

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Answer:

65,because it appears more than once

The work required to stretch the spring from 7 cm to 15 cm past equilibrium is 0.268 J (joules).

What is work?

Work is a physical quantity that measures the amount of energy transferred to or from an object due to the application of a force over a displacement. It is the product of the magnitude of the force applied to an object and the distance over which the force is exerted.

The work done to stretch or compress a spring can be calculated using the formula: W = (1/2) * k * Δx².

Given that the spring constant (k) is 140 kg/s² and the displacement (Δx) is 15 cm - 7 cm = 8 cm = 0.08 m, we can substitute these values into the formula:

W = (1/2) * 140 kg/s² * (0.08 m²)

W = 0.5 * 140 kg/s² * 0.0064 m²

W = 0.448 J

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Answer:

$54

Step-by-step explanation:

First, we calculate the amount she paid for each pen.

$255/5 = $51

She paid $51 for each pen.

She made a profit of $3 per pen, so she sold each pen for $51 + $3 = $54

Answer: $54

Answer:

9

Step-by-step explanation:

The two general approaches are qualitative and quantitative.

Forecasting is a technique that uses past data as inputs to make future predictions by determining the direction of trends in the future.

It is an estimation methodology that uses judgment, other than numerical analysis. This type of forecasting depends upon the knowledge of most experienced employees and consultants to provide predictions for future outcomes.

It is a data-based math process that teams use to understand performance and predict future based revenue on the data and the patterns. Forecasting results gives businesses the ability to make informed decisions on strategies and processes to ensure continuous success

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The correct first step to solving the system of equations in the most efficient manner is x = -4y +19.

The given system of equations is;

\(\rm 3 x + 2 y = 17\\\\x + 4 y = 19\)

The first step would be to rearrange the variables in the second equation so we have a defined expression for x.

We would want to do this so we could then plug in the defined expression for x into the other equation and solve for the other variable.

x + 4y = 19

Rearrange this by getting the 4y to the other side.

We can get 4y on the other side by subtracting 4y from both sides

x + 4y - 4y = 19 - 4y

x = -4y + 19

Hence, the correct first step to solving the system of equations in the most efficient manner is x = -4y +19.

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Answer:

(A)x = negative 4 y + 19

Step-by-step explanation:

i did the test on edge good luck

Step-by-step explanation:

Break down the word expression:

j more than 328 is the same as 264 as an equation

'more' - addition (+)

'same' - equals to (=)

\(j + 328 = 264\)

The volume of the solid obtained is (960π/7) cubic units.

The given region is bounded by the graphs of y = 16 - x² and y = 3x + 12, along with the line x = -1. To find the volume of the solid obtained by rotating this region about the x-axis, we can use the method of cylindrical shells.

We integrate along the x-axis from the point of intersection between the two curves (which can be found by setting them equal to each other) to x = -1.

For each infinitesimally thin strip of width dx, the circumference of the shell is given by 2πx, and the height is the difference between the two curves, (16 - x²) - (3x + 12).

The integral for the volume is:

V=∫-4−1 2πx[(16−x² )−(3x+12)]dx

Simplifying and evaluating the integral gives the volume V = (960π/7) cubic units.

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Answer:

$327.00 (total interest)

Step-by-step explanation:

This is simple interest

Converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year.

A = 300[1 + (0.03 × 3)] = 327

A = $327.00

Answer: 27.82

Step-by-step explanation: Based on Principal Amount of $300, at an interest rate of 3%, over 3 year(s):

The probability of finding oil (to 1 decimal) is 0.7.

Probability is a statistic that is used to show the possibility or chance that a certain event will occur. Probabilities can be expressed as fractions from 0 to 1, in contrast to percentages from 0% to 100%. The four main types of probability that mathematicians study are axiomatic, classic, empirical, and subjective. Given that the terms potential and probability are interchangeable, you could define probability as the probability that a particular event will take place.

To determine probability the  Preliminary geologic  , we obtain,

P(oil)=0.3+0.4

P(oil)=0.7.

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Answer:

x = 2.67

Move variables to the right and constants to the left, Then divide and you get the answer.

Step-by-step explanation:

-1.3+4.6x=0.3+4x (given)

-1.3x + 0.6x =0.3 (subtraction property of equality)

0.6x = 1.6 (addition property of equality)

x = 2.66666666667 (division property of equality)

2.66666666667 = 2.67 (rounding to the nearest tenth)

Answer:

greater than 16 and less than 25(easy)

The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.

Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.

In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.

This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.

However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.

As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.

As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.

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The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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Each element x in V has a unique additive inverse, satisfying the property of a vector space

To prove that each element x in a vector space V has a unique additive inverse, we need to show two things: existence and uniqueness.

Existence:

Let x be an element of V. We need to show that there exists an element y in V such that x + y = 0, where 0 is the additive identity in V.

Since V is a vector space, it satisfies the properties of closure under addition and existence of an additive identity. This means that there exists an element y in V such that x + y = 0. Therefore, the additive inverse of x exists in V.

Uniqueness:

Now, let's assume there are two elements y1 and y2 in V such that x + y1 = 0 and x + y2 = 0.

Subtracting x from both equations, we get y1 = -x and y2 = -x. This implies that y1 and y2 are both additive inverses of x.

Since y1 = -x and y2 = -x, we can conclude that y1 = y2, proving the uniqueness of the additive inverse.

Therefore, each element x in V has a unique additive inverse, satisfying the property of a vector space.

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If p is an odd prime and n is a positive integer, then there exists a primitive root of p.

Let g be a primitive root of pk. Then, by problem 4, either g or g + p (or both) is a primitive root of pk + 1. By mathematical induction, this means that there exists a primitive root of pk for all k ≥ 1. Therefore, there exists a primitive root of p.

To prove this by direct solution, we can use the following steps:

1. Show that there exists a primitive root of p.

2. Show that if g is a primitive root of p, then g + p is also a primitive root of p.

3. Use induction to show that there exists a primitive root of pk for all k ≥ 1.

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Answer:

  15 minutes

Step-by-step explanation:

Their rate together is 1/6 floor per minute.

Her rate alone is 1/10 floor per minute.

His rate is the difference of these:

  1/6 - 1/10 = 5/30 -3/30 = 2/30 = 1/15 . . . . floor per minute

It would take Jacob 15 minutes to do it alone.

The main advantage of an independent measures design is that it reduces the risk of order or practice effects and minimizes the influence of individual differences between participant

An independent measures design, also known as a between-subjects design, is a type of research study in which different groups of participants are used for each condition being tested.

In other words, each participant is only exposed to one condition, and the data from each group is analyzed and compared to determine if there are any significant differences between the groups.

The main characteristics of an independent measures design are:

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Answer:

Good luck undersatnding.

Step-by-step explanation:

1.

A) 27 (over) 4

B)  97 (over) 117

2.

C) 8

D) -243 (over) 32

3.

Square root of 25 is 5

Square root of 16 is 4

Square root of 9 is 3

Square root of 1 is 1

4.

E)  553 (over) 72

F) 11 (over) 56

G) 65 (over) 18

H) 28 (over) 9

5.

E) 35941

F) 81130

G) 79567.75

H) 20525.857

I dont know 7-8

9.

E) Negative

F) Positive

G) Positive

H) Negative

10.

Square root of 25 is 5

Square root of 64 is 8

Square root of 121 is 11

Square root of 225 is 15

I couldn't post images for 6, it wont let me.

Answer:

Step-by-step explanation:

Well the internet has some good videos on how to graph but I'll try to explain it.

That -3/5 which is beside your x is the slope. 3 is the rise and 5 is the run.

That -3 or your b value is the y-intercept. So when x=0

So put a dot on (0, -3)

Next try to plug in whole number values for x to find points on the graph. Then connect the dots and you're done.

The depreciation of the car is $12,600.

The cost of the car per mile is $0.28

Depreciation is the decline in the value of an asset as a result of wear and tear.

Depreciation = cost of the asset - value of the asset now

$24,890 - $12,290 = $12600

Cost per mile = total cost / total mile

($2,805.60  + $1,870.40) / 16700 = $0.28

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