Computer calculation speeds are usually measured in nanoseconds. A nanosecond is 0. 000000001 seconds.


Which choice expresses this very small number using a negative power of 10?


А.


10-8


B.


10-9


С


10-10


D


10 11

Answers

Answer 1

1 x 10⁻⁹ expresses a very small number i.e. nanosecond using a negative power of 10. The correct answer is option b).

Computer calculation speeds are incredibly fast, and they are usually measured in very small units of time. One of these units is a nanosecond, which is equal to one billionth of a second, or 0.000000001 seconds. This unit is used to measure the time it takes for a computer to perform basic operations such as adding two numbers or accessing data from memory.

To express 0.000000001 in scientific notation using a negative power of 10, we need to determine the number of decimal places to the right of the decimal point until we reach the first non-zero digit. In this case, we count nine decimal places to the right of the decimal point before we reach the first non-zero digit, which is 1. This means that 0.000000001 can be written as 1 x 10⁻⁹.

In scientific notation, any number can be expressed as the product of a number between 1 and 10, and a power of 10. The power of 10 tells us how many places we need to move the decimal point to the left or right to express the number in standard form. In the case of 0.000000001, we need to move the decimal point nine places to the right to express the number in standard form.

By writing this number in scientific notation as 1 x 10⁻⁹, we can easily perform calculations with it and compare it to other values measured in nanoseconds. Hence option b) is the correct option.

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Related Questions

Suppose that a particular brand of 5 inch candles has an average life of 27 hours with a standard deviation of six hours. If all possible samples of 4 candles were selected in the average life of the samples was determined, what would the mean of the distribution of the sample means be?
5
3
4
27

Answers

The mean of the distribution of sample means would be 27 hours, which is the same as the average life of the candles.

This is because the sample means would be expected to be centered around the population mean.

The standard deviation of the distribution of sample means (also known as the standard error of the mean) can be calculated using the formula:

standard deviation of sample means = standard deviation of population / square root of sample size

In this case, the standard deviation of sample means would be:

6 / square root of 4 = 3

So the answer is 3.

So, the mean of the distribution of the sample means would be 3. Your answer: 3.

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Use the GCF and the distributive property to find the expression that is
equivalent to 48 + 56.
A. 8(6+7)
B. 4(12 + 14)
C. 12(4+5)
D. 6(8 + 9)

Answers

Answer:

It is either A or B because 48+56 equal 104 and A and B Both equal 104

a closed rectangular faced box with a square base is to be constructure using only 16m^2 of material. what should the heigh h and base length b of the box be as to maximize its volume

Answers

A closed rectangular faced box with a square base constructed using only \(16m^{2}\) of material should have a base length of \(\sqrt{(32/3)}\) and a height of \(\sqrt{(3)\) in order to maximize its volume.

To solve this problem, we need to use optimization techniques to find the maximum volume of the box. Let's call the height of the box "h" and the length of the square base "b".
The total surface area of the box is made up of the area of the base and the area of the four sides. Since the base is a square, the area of the base is simply \(b^{2}\). The area of the four sides is 4bh (since there are four sides of height h and length b). Therefore, the total surface area of the box is:
\(b^{2} + 4bh = 16\)
We can rearrange this equation to solve for h in terms of b:
\(h = (16 - b^{2}) / (4b)\)
Now we can use the formula for the volume of a rectangular box to find an expression for the volume in terms of b and h:
\(V = b^{2}h\)
Substituting the expression for h we found earlier:
\(V = b^{2} (16 - b^{2}) / (4b)\)
Simplifying:
\(V = (1/4) b^{2} (16 - b^{2})\)
Now we have an expression for the volume of the box in terms of the length of the base. To find the maximum volume, we need to take the derivative of this expression with respect to b and set it equal to zero:
\(dV/db = (1/4) (32b - 3b^{3}) = 0\)
Solving for b:
\(32b - 3b^{3} = 0\)
\(b(32 - 3b^{2}) = 0\)

b = 0 or \(b= \sqrt{(32/3)}\)
Since a base of b=0 does not make sense, we must use \(b= \sqrt{(32/3)}\).
Now that we have the length of the base, we can use the equation we derived earlier to find the height of the box:
\(h = (16 - b^{2}) / (4b)\)
Substituting \(b= \sqrt{(32/3)}\):
\(h= (16 - (32/3)) / (4 \sqrt{(32/3)})\)
\(h = (16/3) / (4 \sqrt{(32/3)})\)
\(h = \sqrt{3}\)
Therefore, to maximize the volume of the box, the base length should be \(\sqrt{(32/3)}\) and the height should be \(h = \sqrt{3}\).

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4(s−3)−4=4+8(2−s)

What is s? Please give step by step explanation so I won't need help again.

Answers

Am not really sure but I hope it helps
4(s3)4=4+8(2s)What is s? Please give step by step explanation so I won't need help again.

Use Cramer's rule to solve the system or to determine that the system is inconsistent or contains dependent equations. 

Use Cramer's rule to solve the system or to determine that the system is inconsistent or contains dependent

Answers

In order to solve the system using Cramer's rule, first let's put the system in matrix form:

\(\begin{gathered} \begin{bmatrix}{1} & {1} \\ {1} & {-1}\end{bmatrix}\begin{bmatrix} & {x} \\ & {y}\end{bmatrix}=\begin{bmatrix} & {7} \\ & {1}\end{bmatrix}\\ \\ D\cdot X=B \end{gathered}\)

The matrix D is the matrix with the coefficients of x and y from each equation.

The determinant of a 2x2 matrix is given by the product of the terms in the main diagonal minus the product of terms in the secondary diagonal:

\(|D|=1\cdot(-1)-1\cdot1=-1-1=-2\)

The matrix Dx is given by the matrix D after switching the first column with the coefficient matrix B:

\(\begin{gathered} Dx=\begin{bmatrix}{7} & {1} \\ {1} & {-1}\end{bmatrix}\\ \\ |Dx|=7\cdot(-1)-1\cdot1=-7-1=-8 \end{gathered}\)

And the matrix Dy is given by the matrix D after switching the second column with the coefficient matrix B:

\(\begin{gathered} Dy=\begin{bmatrix}{1} & {7} \\ {1} & {1}\end{bmatrix}\\ \\ |Dy|=1\cdot1-7\operatorname{\cdot}1=1-7=-6 \end{gathered}\)

Now, solving the system, we have:

\(\begin{gathered} x=\frac{|Dx|}{|D|}=\frac{-8}{-2}=4\\ \\ y=\frac{|Dy|}{|D|}=\frac{-6}{-2}=3 \end{gathered}\)

Does an X or y-axis scale have to always start at zero?.

Answers

No, X or y-axis scale does not have to always start at zero. In a line chart, it's OK to start the axis at a number other than zero

Define axis.

A line that is used to take or mark measurements is known as an axis in mathematics. Two crucial axes of the coordinate plane are the x and y axes. A horizontal number line is the x-axis, while a vertical number line is the y-axis. The coordinate plane is created by the perpendicular intersection of these two axes.

Given,

No, X or y-axis scale does not have to always start at zero.

A line chart encodes data using location (x, y coordinates), whereas a bar chart represents data using length. In a line chart, it's OK to start the axis at a number other than zero despite many claims that they are always misleading since this minute difference influences how a reader utilizes the chart.

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Using suitable identity, find the value of 87^3+ 13^3/
87^2 −87 ×13 + 13^2

Answers

The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

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Find the value of x rounded to the nearest tenth.

Find the value of x rounded to the nearest tenth.

Answers

Step-by-step explanation:

everything can be found in the picture

Find the value of x rounded to the nearest tenth.

What is the range of this function?

Answers

The range of the function is :

The correct option is (B) {-8, -3, 5, 7}.

We are given to find the range of the function shown in the figure.

We know that the range of a function is the set of all the elements of the co-domain which are associated to at least one of the elements of the domain.

From the given figure, we note that

Domain, D = {6, 8, 10, 12},

Co-domain , C= {-8, -3, 5, 7].

Also, the set of elements that are associated to some elements of the domain is given by

R = {-8, -3, 5, 7}.

Thus, the required range of the given function is {-8, -3, 5, 7}.

Option (B) is CORRECT.

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Due to weather mark walk to school day of the 20 days in february what would be the fraction representation for the number of days he walk to school what will be the percent of the days in which mark walk to school

Answers

Tbe question doesn't state the number of days he walked to school out of 20 school days in the

Month of February.

Answer:

Kindly check explanation

Step-by-step explanation:

To. Obtain the fractional representayion for the number of days he walked to school ;

Let the number of days he walked to school = 10 (this is an hypothesized value)

Number of school days in February = 20

Fraction = 10 /20 = 0.5

The percentage of times walked to school : multiply the fraction obtained above by 100%

0.5 * 100% = 50%

Just put the desired value and proceed uSing the steps described above.

Find the total differential of the function. \[ f(x, y)=x^{2} e^{2 y}+y \ln (x) \] \[ d f= \]

Answers

The total differential of the function \(\(f(x, y) = x^2 e^{2y} + y \ln(x)\)\) is:

\(\[df = (2x e^{2y} + \frac{y}{x})dx + (2x^2 e^{2y} + \ln(x))dy\]\)

To obtain the total differential of the function \(\(f(x, y) = x^2 e^{2y} + y \ln(x)\)\), we can compute the partial derivatives with respect to each variable and then express the total differential \(\(df\)\) as the sum of the differentials of each variable multiplied by their respective partial derivatives.

Let's calculate it step by step:

1. Calculate the partial derivative with respect to x, denoted as \(\(\frac{\partial f}{\partial x}\)\):

\(\[\frac{\partial f}{\partial x} = 2x e^{2y} + \frac{y}{x}\]\)

2. Calculate the partial derivative with respect to y, denoted as \(\(\frac{\partial f}{\partial y}\)\):  \(\[\frac{\partial f}{\partial y} = 2x^2 e^{2y} + \ln(x)\]\)

3. Express the total differential \(\(df\)\) using the calculated partial derivatives:

 \(\[df = \frac{\partial f}{\partial x}dx + \frac{\partial f}{\partial y}dy\]\)

Substituting the values of the partial derivatives we obtain the total  total differential of the function \(\(f(x, y) = x^2 e^{2y} + y \ln(x)\)\) as:

\(\[df = (2x e^{2y} + \frac{y}{x})dx + (2x^2 e^{2y} + \ln(x))dy\]\)

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For the function y=12x+6, if the input is x=−4, the output is y=

Answers

Answer:

12(4) +6

48+6 = 54

y=54

Step-by-step explanation:

Step-by-step explanation:

Given function: y = 12x + 6

Input: x = -4

Replacing the value of x in function y,

y = 12 x (-4) + 6

y = -48 + 6

y = -42

solving linear and absolute value inequalities 6x < -36

Answers

\(6x<-36 \\ \\ x<\frac{-36}{6} \\ \\ \boxed{x<-6}\)

Please Help me!!!

The question is:
Which graph shows the solution to y > x – 8?

Please Help me!!!The question is: Which graph shows the solution to y &gt; x 8?

Answers

Answer:

the answer is B

Step-by-step explanation:

Six apples and one pear cost $1.07. At the same price, three apples and six pears cost $1.47. An apple costs

Answers

Answer: \(\$0.15\)

Step-by-step explanation:

Given

Six apples and one pear cost \(\$1.07\)

Also, three apples and six pears costs \(\$1.47\)

Suppose \(x\) and \(y\) be the price of apple and pear. So, we can write the cost as

\(\Rightarrow 6x+y=1.07\quad \ldots(i)\\\Rightarrow 3x+6y=1.47\quad \ldots(ii)\\\text{solve (i) and (ii) we get}\)

\(x=0.15,\ y=0.17\)

The cost of an apple is \(\$0.15\)

tan(0)/ csc (0)sec (0)


Write this expression in trigonometric form

Answers

The simplified trigonometric expression is given as follows:

tan(x)/[csc(x)sec(x)] = sin²(x).

How to simplify the trigonometric expression?

The trigonometric expression in the context of this problem is defined as follows:

tan(x)/[csc(x)sec(x)].

The definitions of tangent, cosecant and secant are given as follows:

tan(x) = sin(x)/cos(x).csc(x) = 1/sin(x).sec(x) = 1/cos(x).

Hence the denominator of the simplified expression is given as follows:

csc(x)sec(x) = 1/sin(x) x 1/cos(x) = 1/(sin(x)cos(x)).

When two fractions are divided, we multiply the numerator by the inverse of the denominator, hence:

tan(x)/[csc(x)sec(x)] = sin(x)/cos(x) x sin(x) x cos(x) = sin²(x).

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The cone-shaped paper cup in Problem 2 is only half filled with water. So, the height of the water is 6cm and a diameter of the top surface of the water of 4cm. Calculate the volume of water. Use 3.14 for the value of pi.

Answers

The volume of water in the cone-shaped paper cup is 25.12 cubic centimeters.

To calculate the volume of water in the cone-shaped paper cup, we can use the formula for the volume of a cone:

V = (1/3) * π * r^2 * h

Given:

Height of water (h) = 6 cm

Diameter of the top surface of water (2r) = 4 cm

First, we need to find the radius (r) of the top surface of the water. Since the diameter is given as 4 cm, the radius is half of that:

r = 4 cm / 2 = 2 cm

Now we can substitute the values into the volume formula and calculate the volume of water:

V = (1/3) * 3.14 * (2 cm)^2 * 6 cm

V = (1/3) * 3.14 * 4 cm^2 * 6 cm

V = (1/3) * 3.14 * 24 cm^3

V = 25.12 cm^3.

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Solve the equation for all real solutions:
16n^2-10n-5=6n

Answers

Answer:

5/4 and - 1/4

Step-by-step explanation:

16n^2-10n-5=6n

16n^2-16n-5=0

(4n+1)(4n-5)

4n=-1        4n=5

n= -1/4  n= 5/4

Please help me on this!

Please help me on this!

Answers

Answer:

C

Step-by-step explanation:

Linear functions will be greater than exponential functions at first- however, exponential equations will gradually surpass the linear equation.

I have to answer to ask questions:/ I don’t know the answer sorry hope you had a good day though!

Let x(l) be a band-limited signal with absolute bandwidth B Hz For each of the signals below determine whether the signal is absolutely band-limited, and if so, express the Nyquist sampling rate for the signal in terms of B (a) x(0)+x(t-1) dx(t) dt (o) x) Justify your answers.

Answers

Signal a) is not absolutely band-limited and so, its Nyquist sampling rate cannot be determined. Signal b) is absolutely band-limited with an absolute bandwidth of B Hz, and its Nyquist sampling rate is 2B.

Let x(l) be a band-limited signal with absolute bandwidth B Hz. For each of the signals below, we need to determine whether the signal is absolutely band-limited, and if so, express the Nyquist sampling rate for the signal in terms of B.

a) x(0) + x(t - 1)dx(t)dt:For this signal, let us apply the Fourier transform. The Fourier transform of the first term is 2πX(ω)δ(ω), and that of the second term is e^(-jω)X(ω).

Thus, X(ω) = 2πX(ω)δ(ω) + e^(-jω)X(ω)On rearranging this expression, we get: X(ω) = [1 / (1 - 2πδ(ω))]e^(-jω)Therefore, the signal is not absolutely band-limited because it has components at all frequencies.

Hence, the Nyquist sampling rate cannot be determined.b) x:For this signal, let us consider its Fourier transform. Its Fourier transform will be a scaled version of the Dirac comb function, centered at ω = 0, with a spacing of 2π. Hence, X(ω) = 2πBδ(ω).

The signal is absolutely band-limited with absolute bandwidth B Hz, and hence, the Nyquist sampling rate will be 2B. The Nyquist sampling rate is twice the absolute bandwidth, and so, the sampling rate for this signal will be 2B Hz.

Thus, the answer to the question is as follows:Signal a) is not absolutely band-limited and so, its Nyquist sampling rate cannot be determined. Signal b) is absolutely band-limited with an absolute bandwidth of B Hz, and its Nyquist sampling rate is 2B.

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Much of this author’s work, unfortunately, is -------,
with ------- chapter often immediately following a
sublime one.
(A) mystical . . a superior
(B) uneven . . a mediocre
(C) predictable . . an eloquent
(D) enthralling . . a vapid
(E) flippant . . an intelligible

Answers

Much of this author’s work, unfortunately, is uneven ,with a mediocre  chapter often immediately following a sublime one.

Option B is correct as with, unfortunately, uneven is perfectly correct and with sublime one mediocre is good to go. Hence option B is the correct answer.Other options are not going with the given sentence.

What is the book mediocre about?

Mediocre investigates the real costs of this phenomenon in order to imagine a new white male identity, one free from racism and sexism. As provocative as it is essential, this book will upend everything you thought you knew about American identity and offers a bold new vision of American greatness.

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17. Segment AB has midpoint M. If point A is (11,-1) and point B is (-3, 29), what is the value
of the x-coordinate of the midpoint?

Answers

Answer:

The answer is 4

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

\(M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A( 11 , - 1 ) and B ( - 3 , 29)

The midpoint is

\(M = ( \frac{11 - 3}{2} \: , \: \frac{ - 1 + 29}{2} ) \\ = ( \frac{8}{2} \: , \: \frac{28}{2} ) \\ = (4 \: , \: 14)\)

The x coordinate of the midpoint is 4

Hope this helps you

what does it mean to say that an allele is "fixed"?

Answers

Answer:

When we say that an allele is "fixed," it means that a particular allele has reached a frequency of 100% in a population.

Step-by-step explanation:

Alleles are different forms of a gene that occupy the same position on homologous chromosomes. In a population, different alleles can exist for a specific gene. However, through various evolutionary processes such as natural selection, genetic drift, or gene flow, one allele may become predominant and eventually fixate within the population.

The fixation of an allele can occur through different mechanisms. For example, if a beneficial allele provides a selective advantage to individuals carrying it, it is more likely to increase in frequency and eventually become fixed in the population. On the other hand, genetic drift, which is the random change in allele frequencies due to chance events, can also lead to the fixation of an allele, especially in small populations.

Once an allele is fixed in a population, it means that all future generations will inherit that allele, and no alternative alleles will be present at that particular gene locus.

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James walk to school 12 out of 20 days which value is equivalent to the fraction of days James walk to school

Answers

Answer:

3/5

Step-by-step explanation:

all you have to do is get the fraction to its lowest point and you get 3/5.

If f(x) is a function and f(1) = 5, then which of the following could not be true?

Answers

If f(x) is a functiοn and f(1) = 5, then  f(1) = 1 cοuId nοt be true.

Thus οptiοn a is cοrrect.

Define functiοn.

A functiοn is a reIatiοn between twο sets, caIIed the dοmain and the range, such that fοr each eIement in the dοmain, there is exactIy οne eIement in the range. A functiοn maps each eIement in the dοmain tο a unique eIement in the range.

In οther wοrds, a functiοn is a ruIe οr a fοrmuIa that assοciates each input vaIue with a unique οutput vaIue. The input vaIues are the dοmain οf the functiοn, and the οutput vaIues are the range. Functiοns are οften denοted by a symbοI such as f(x), where x is an eIement in the dοmain and f(x) is the cοrrespοnding eIement in the range.

In mathematicaI anaIysis, the generaI cοncept οf functiοn, appIicatiοn οr mapping refers tο a ruIe that assigns tο each eIement οf a first set a singIe eIement οf a secοnd set.

Using this definitiοn, severaI eIements οf the dοmain can resuIt in the same eIement οf the range οf the functiοn.

But, the same eIement οf the dοmain, can nοt have different vaIues οf the range οf the functiοn.

Therefοre, the fοIIοwing expressiοn can nοt be true:

f (1) = 1

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Complete Question:

If f(x) is a function and f(1) = 5, then which of the following could not be true?

a. f(1) = 1

b. f(2) = 1

c. f(5) = 5

1.Find the period of the following functions. a) f(t) = (7 cos t)² b) f(t) = cos (2φt²/m)

Answers

Period of the functions: The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ). The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.

We know that cos (t) is periodic and has a period of 2π.∴ b = 2π∴ The period of the function f(t) =

(7 cos t)² = 2π/b = 2π/2π = 1.

The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ) Hence, the period of the function f(t) =

cos (2φt²/m) is √(4πm/φ).

The function f(t) = (7 cos t)² is a trigonometric function and it is periodic. The period of the function is given by 2π/b where b is the period of cos t. As cos (t) is periodic and has a period of 2π, the period of the function f(t) = (7 cos t)² is 2π/2π = 1. Hence, the period of the function f(t) = (7 cos t)² is 1.The function f(t) = cos (2φt²/m) is also a trigonometric function and is periodic. The period of this function is given by T = √(4πm/φ). Therefore, the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

The period of the function f(t) = (7 cos t)² is 1, and the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

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2. there are many ways you can accomplish a 1000-fold dilution. propose 3 different serial dilution methods that will accomplish a dilution with a 1:1000 dilution factor.

Answers

The three different dilution methods that will accomplish a dilution with a 1:1000 dilution factor are one-step dilution, two-step dilution and three-step dilution.

1. One-step dilution: Take 1 mL of the original solution and add 999 mL of the diluent (water, buffer, etc.) to get a 1:1000 dilution.

2. Two-step dilution: Take 1 mL of the original solution and add it to 9 mL of the diluent to get a 1:10 dilution. Then, take 1 mL of the 1:10 dilution and add 9 mL of the diluent to get a 1:100 dilution. Repeat this step once more to get a 1:1000 dilution.

3. Three-step dilution: Take 1 mL of the original solution and add it to 4 mL of the diluent to get a 1:5 dilution. Then, take 1 mL of the 1:5 dilution and add it to 4 mL of the diluent to get a 1:25 dilution. Repeat this step twice more to get a 1:125 dilution and then a 1:625 dilution. Finally, take 1 mL of the 1:625 dilution and add it to 375 mL of the diluent to get a 1:1000 dilution.

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Which of the following describes the idea of the Laffer Curve as it is expressed mathematically?
The ratios show the relationship between the federal income tax rates and revenue
To analyze how economic policies may affect growth and stability
Aggregate supply increases when production costs decrease.
reduce the government's role in the economy

Answers

The idea of the Laffer Curve, as it is expressed mathematically, is that there is an optimal tax rate at which the government can maximize revenue. This concept is based on the idea that as tax rates increase, revenue collected by the government initially increases but eventually reaches a point at which further increases in tax rates lead to a decrease in revenue.

The Laffer Curve is used to analyze how economic policies may affect growth and stability by illustrating the trade-off between higher tax rates and revenue generation. It is often used as an argument to reduce the government's role in the economy, as increasing taxes beyond a certain point can be counterproductive.

Additionally, the Laffer Curve is related to the idea that aggregate supply increases when production costs decrease, as lower taxes can lead to lower production costs and, therefore, an increase in supply. This is a long answer that describes the various aspects of the Laffer Curve.

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For two odd consecutive numbers, seven times the first number is 1 more than six times the greater number. What is the sum of those numbers?

Answers

9514 1404 393

Answer:

  28

Step-by-step explanation:

Let x represent the even number between them. Then the desired sum is 2x.

The given relation is ...

  7(x -1) = 1 +6(x +1)

  x = 14 . . . . . . . add 7-6x

 2x = 28 = sum of those numbers

__

The two numbers are 13 and 15.

Without graphing, find the slope of the line that goes through (-3, -2) and (-1, -5). *

Answers

-3/2

We can find slope using the equation (y2-y1)/(x2-x1). Substitute your values in for the xs and ys.

(-5 - (-2))/(-1 - (-3))

-3/2

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