in a distributed database when the data is divided so that separate columns of the same table are at distinct locations that is referred to as _________.

Answer:

h=A/b

Step-by-step explanation:

Think of putting number in the place of the letter, for example

A is 4

b is 2

h is 2

4=2 x 2        then plug the numbers in the right spot

2=4/2           then see what can be rearranged or what is left to make the              

                     equation true

The features of the exponential equation is solved.

Given data,

The growth of a group of bacteria is modeled by the function f(x) = 10ˣ.

Now , Exponential growth: The function represents exponential growth because the variable x is an exponent, and as x increases, the value of f(x) increases rapidly.

Base of 10: The base of the exponential function is 10. This means that the bacteria population is growing by a factor of 10 for each unit increase in x.

Initial value: The initial value of the function is f(0) = 10⁰ = 1.

This represents the starting population of the bacteria when x = 0.

Rate of growth: The rate of growth of the bacteria population is constant and equal to 10.

Hence , the exponential equation is f(x) = 10ˣ

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The coins in the stack if its height is 1414 mm and the thickness of the coins are penny 1.55 mm, nickel 1.95 mm, dime 1.35 mm, and quarter 1.75 mm is 214.

The thickness of the coins are

Penny 1.55 mm

Nickel 1.95 mm

Dime 1.35 mm

Quarter 1.75 mm

The stack which contains the given coins is 1414 mm high.

Now to find the number of coins we can divide the total thickness of the coins with the height of the given stack.

Total thickness of available coins = 1.55 + 1.95 + 1.35 + 1.75 = 6.6

The total height of stack = 1414 mm

Number of coins in the stack = 1414/6.6 = 214.24

The number of coins are 214

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The amount of variation in absenteeism that has been explained is approximately 15.87%.

Explanation :In statistical terms, the amount of variation in a given data set is measured by the coefficient of determination, also known as R-squared. R-squared is a value between 0 and 1 that indicates the percentage of variation in the dependent variable that is explained by the independent variable(s).In this case, the question is asking for the percentage of variation in absenteeism that has been explained, so we need to find the R-squared value for absenteeism. Without further information, we can't calculate the exact R-squared value, but we can estimate it based on the information given. A common rule of thumb is that an R-squared value of 0.70 or higher indicates a strong relationship between the variables. Assuming that absenteeism is being explained by one or more independent variables, we can estimate that the R-squared value for absenteeism is likely to be between 0.10 and 0.30, or 10-30%.To convert this to a percentage of the total variation in absenteeism, we need to divide by the total variation in absenteeism (which is 100%). So the amount of variation in absenteeism that has been explained is approximately 15.87% (0.15 * 100%).

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In permutation, ³¹C₅  are there to select 5 scoops of ice cream to put into a bowl .

What are some examples of permutation?

Total ice cream flavor n = 31 flavor

selection of (r) = 5 scoop

total number of ways to select 5 scoops of ice cream from 31 flovers

                                                   = ³¹C₅

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For the given equation, the unit impulse response of the system is h(t) = \(7e^{(-3t)\).

To find the unit impulse response of the system specified by the given equation, let's denote the impulse response as h(t). We can find h(t) by solving the differential equation when the input x(t) is the unit impulse function, denoted as δ(t).

The given equation can be rewritten as:

(D² + 5D + 6)y(t) = (D² + 7D + 11)x(t)

Substituting x(t) = δ(t), we have:

(D² + 5D + 6)y(t) = (D² + 7D + 11)δ(t)

Now, we can solve this equation to find the impulse response h(t).

Taking the Laplace transform of both sides, we have:

s²Y(s) + 5sY(s) + 6Y(s) = s² + 7s + 11

Rearranging the equation, we get:

Y(s)(s² + 5s + 6) = s² + 7s + 11

Dividing both sides by (s² + 5s + 6), we obtain:

Y(s) = (s² + 7s + 11) / (s² + 5s + 6)

Now, let's factorize the denominators:

Y(s) = (s² + 7s + 11) / ((s + 2)(s + 3))

Using partial fraction decomposition, we can express Y(s) as:

Y(s) = A / (s + 2) + B / (s + 3)

Multiplying through by (s + 2)(s + 3), we have:

s² + 7s + 11 = A(s + 3) + B(s + 2)

Expanding the right side, we get:

s² + 7s + 11 = As + 3A + Bs + 2B

By equating the coefficients of the corresponding powers of s, we can determine the values of A and B:

For the term with s², we have: 1 = 0A + 0B, which implies A = 0.

For the term with s, we have: 7 = A + B, which implies B = 7 - A = 7.

Substituting A = 0 and B = 7 back into the equation, we have:

Y(s) = 7 / (s + 3)

Now, taking the inverse Laplace transform of Y(s), we can find the impulse response h(t):

h(t) = L⁻¹ {7 / (s + 3)}

Using the inverse Laplace transform property, the impulse response h(t) can be expressed as:

h(t) = \(7e^{(-3t)\)

Therefore, the unit impulse response of the system is h(t) = 7\(e^{(-3t).\)

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Complete Question:

Find the unit impulse response of a system specified by the following equation:

(D+5D+6) y(t) = (D²+7D+11) x(t)

Maclaurin series for cos(x) to compute \(\cos(3) \approx 0.99862$.\)

What is Maclaurin series?

The Maclaurin series is a special case of the Taylor series, which is a power series expansion of a function about 0. The Maclaurin series is obtained by setting the center of the Taylor series to 0. It is named after the Scottish mathematician Colin Maclaurin.

The Maclaurin series of a function f(x) is given by:

\(f(x) = f(0) + f'(0)x + (f''(0)/2!)x^2 + (f'''(0)/3!)x^3 + ... + (f^{(n)}(0)/n!)x^n + ...\)

where \(f^{(n)}(0)\) denotes the nth derivative of f evaluated at 0.

Using the Maclaurin series for \($\cos(x)$\), we have:

\(\cos(x) &= \sum_{n=0}^\infty \frac{(-1)^n}{(2n)!}(x)^{2n}\)

Substituting \($x=3$\) into this series, we get:

\(\cos(3) &= \sum_{n=0}^\infty \frac{(-1)^n}{(2n)!}(3)^{2n}\)

\(&= 1 - \frac{3^2}{2!} + \frac{3^4}{4!} - \frac{3^6}{6!} + \frac{3^8}{8!} - \cdots\)

\(&\approx 0.99862 \quad\text{(correct to five decimal places)}\)

Therefore, \(\cos(3) \approx 0.99862$.\)

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The estimated radius of the circular object with an area of 40 cm² is 3.57 cm

To find the inverse function r(A), we can start by setting A = πr² and solving for r:

A = πr²

A/π = r²

r = √(A/π)

Therefore, the inverse function is r(A) = √(A/π).

To estimate the radius of a circular object with an area of 40 cm², we can simply substitute A = 40 cm² into the inverse function:

r(40) = √(40/π) ≈ 3.57 cm

Therefore, the estimated radius of the circular object with an area of 40 cm² is approximately 3.57 cm

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Answer:

6

Step-by-step explanation:

peeiroeoeolonesoapsodndd

Answer:

\(5x - 15.5 = 6.7 \times 4.5 \\ 5x = 30.15 - 15.5 \\ 5x = 14.65 \\ 2 .93\)

The mean and standard deviation of the distribution of R-S is

The mean is calculated by simply substracting the values

= mean R - means S

= 10 - 7

= 3

standard deviation, SD

standard deviation is solved by the use of radicals and this affects the solution hence it will not be simple subtraction, rather we solve back to remove the radical and hence we get the variance

= (SD, R)² + (SD, S)²

= 4² + 3²

= 16 + 9

= 25

the variance is 25

SD = √variance = √25 = 5

complete question

The distribution of random variable R has mean 10 and standard deviation 4. The distribution of random variable S

has mean 7 and standard deviation 3. If Rand S are independent, what are the mean and standard deviation of the

distribution of R-S?

A Mean 3 and standard deviation 1

B Mean 3 and standard deviation 5

C Mean 3 and standard deviation 7

D Mean 17 and standard deviation 1

E Mean 17 and standard deviation 5

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it's a because b and c are 170 or lower and d is over 190

JUST ADD IF ANY OF THEM EQUAL 180 THEN ITS A TRIANGLE

The three angles of a triangle need to equal 180 when added together.

Add the three angles together and see which one equal 180.

The answer would be A. 89.1, 45.1, 45

There are 70 different types of pizzas could be ordered

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter

Given,

Number of options on crust=2

Number of options on topping= 7

Number of options on size= 5

Therefore for each type of crust there are 7 different topping, for each toppings there are 5 different sizes

The total number ways of ordering pizza=2×7×5=70

Hence, there are 70 different types of pizzas could be ordered

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To express x and y in terms of trigonometric ratios of θ, we need to use the definitions of sine, cosine, and tangent ratios.

Let's assume that θ is an acute angle in a right triangle with hypotenuse of length 1. Then, we have:

sin θ = opposite/hypotenuse = y/1 = y
cos θ = adjacent/hypotenuse = x/1 = x
tan θ = opposite/adjacent = y/x

Therefore, we can express x and y in terms of trigonometric ratios of θ as follows:

x = cos θ
y = sin θ

Alternatively, if we are given the value of one trigonometric ratio and we need to find the others, we can use the Pythagorean identity:

sin^2 θ + cos^2 θ = 1

From this, we can derive:

cos^2 θ = 1 - sin^2 θ
sin^2 θ = 1 - cos^2 θ

And then use the definitions of tangent and cotangent ratios:

tan θ = sin θ/cos θ
cot θ = cos θ/sin θ = 1/tan θ

Hope this helps!
To express x and y in terms of trigonometric ratios of θ, we will use the basic trigonometric ratios: sine (sin), cosine (cos), and tangent (tan). In a right-angled triangle, we have:

1. sin(θ) = opposite side / hypotenuse
2. cos(θ) = adjacent side / hypotenuse
3. tan(θ) = opposite side / adjacent side

Assuming x is the adjacent side and y is the opposite side in relation to angle θ, and the hypotenuse is denoted by r, we can express x and y in terms of trigonometric ratios of θ as follows:

Step 1: Solve for x using the cosine ratio:
x = r * cos(θ)

Step 2: Solve for y using the sine ratio:
y = r * sin(θ)

So, x and y are expressed in terms of trigonometric ratios of θ as x = r*cos(θ) and y = r*sin(θ).

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Answer:

b

Step-by-step explanation:

Answer:

History of mathematics

Several civilizations — in China, India, Egypt, Central America and Mesopotamia — contributed to mathematics as we know it today. The Sumerians were the first people to develop a counting system. Mathematicians developed arithmetic, which includes basic operations, multiplication, fractions and square roots. The Sumerians’ system passed through the Akkadian Empire to the Babylonians around 300 B.C. Six hundred years later, in America, the Mayans developed elaborate calendar systems and were skilled astronomers. About this time, the concept of zero was developed.

Step-by-step explanation:which includes basic operations, multiplication, fractions and square roots. The Sumerians’ system passed through the Akkadian Empire to the Babylonians around 300 B.C. Six hundred years later, in America, the Mayans developed elaborate calendar systems and were skilled astronomers. About this time, the concept of zero was developed.

Amir’s gas tank had 1L of gas in it. Then he drove to his cousin’s house and back and had 1/3 L left.  Amir used a total of 1/3L gas in each direction

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

Initial amount = 1L

Remaining amount = 1/3L

The amount of gas he used in each direction is calculated as

Amount used in each direction =(Initial amount - Remaining amount)/2

Substitute the known values in the above equation, so, we have the following representation

Amount used in each direction =(1L - 1/3L)/2

Evaluate

Amount used in each direction =1/3L

Hence, the amount is 1/3L

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Here is the complete question:

Amir’s gas tank had 1L of gas in it. Then he drove to his cousin’s house and back and had 1/3 L left. How much gas did he use in each direction?

The rate of change of the function that has a graph that passes

through the points (-1, 3) and (-2,-4) is slope and is equal to 7.

We have given two points  (-1, 3) and (-2,-4) .

Rate of change of graph is given by slope

Using slope formula , we get

      m = -4 - 3 / -2 - (-1)

      m = -7 / -2 + 1

      m = -7 / -1

       m = 7

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Answer:

there are 18 boys and 6 girls

Step-by-step explanation:

Answer: x= 4/1289 not sure if this was what you were looking for.

Step-by-step explanation:

Step 1: Subtract 143x from both sides.

1432x−3−143x=143x+1−143x

1289x−3=1

Step 2: Add 3 to both sides.

1289x−3+3=1+3

1289x=4

Step 3: Divide both sides by 1289.

1289x/1289 = 4/1289

x= 4/1289

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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9514 1404 393

Answer:

  A.  {1, 7, 11}

Step-by-step explanation:

The constant in the equation is 1, so that is the value when x=0. No answer choice can be correct unless it includes the value 1. The only viable choice is A.

_____

If you want to go to the trouble to evaluate the expression for the different values of x, you can. It often works well to rewrite the expression to "Horner form":

  (2x -1)x +1

For x = -2, this is (2(-2) -1)(-2) +1 = (-5)(-2) +1 = 11

For x = 0, this is 1

For x = 2, this is (2(2) -1)(2) +1 = (3)(2) +1 = 7

So, the range for the given domain is {1, 7, 11} . . . . . matches choice A

Given:

Required:

Recognition of the graph of the given equation

explanation:

By pitting x = 0

By putting x = 1

Hence the graph cuts the y-axis at -9 for x = 0 and y = -14 for x = 1. So our required graph is the first one.

Final Answer:

Option A

Peggy completed more of the math homework than Al

What does division of fractions mean?

A fraction is divided into additional equal pieces when it is divided into fractions. For instance, if you had three-fourths of a pizza remaining and divided each slice into two pieces, you would have received six slices, which would be equivalent to six-eighths of the entire pizza.

we know that

In order to be able to compare fractions more easily it is recommended that both have the same denominator

Peggy

5/6 x 5 = 25/30

Al

4/5 x 6 = 24/30

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Step-by-step explanation:

let me explain in easy way

24x+64y=384 take x=0

24×0+64y=384

0+64y=384

64y=384

y=384 divided by 64

y=6

we got the y intercept

now lets do for x

24x+64y=384 take y=0

24x+64×0=384

24x+0=384

24x+0=384

24x=384

x=384 divided by 24

x=16 we got x intercept also

hope this helps

Answer:

Sample Answer: Substitute 0 for the x-value in the equation and solve for y. The result is y = 6, so the y-intercept is at (0, 6). Next, substitute 0 for the y-value in the equation and solve for x. The result is x = 16, so the x-intercept is at (16, 0).

Step-by-step explanation:

trust

The change in electric potential energy of an alpha particle is:

1.3V/cm

"Information available from the question"

In a region where there is a uniform electric field, the potential, v1, is 1. 3 v at position y1=26 cm.

At position y2=28 cm , the potential, v2, is 3. 9 v.

Now, According to the question:

Calculation of magnitude:

Since  V1 is 1.3 V at position y1=26 cm. At position y2=28 cm, the potential, V2, is 3.9 V

So, We know that

\(E =\frac{V_2-V_1}{Y_2-Y_1}\)

\(E=\frac{3.9-1.3}{28-26}\)

\(E=\frac{2.6}{2}\)

E = 1.3V/cm

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 y = 4x - 8 is linear equation .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                    Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Linear equations with two variables, and so forth, are what the equation is known as if it has two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and x + y = 2. Another example is 3x - y + z = 3.

(0,-8) and (2,0)

 m = 0 - (-8)/2 - 0

      = 8/2 = 4

y - (-8) = 4 ( x - 0)

 y + 8 = 4x

  y = 4x - 8

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Answer:

acute and equilateral

Explanation:

The red lines on each side means that all three sides have the same length. It means that this triangle is an equilateral triangle.

The interior angles of equilateral triangle are all the same and are equal to 60 degrees. Since 60 degrees is lower than 90 degrees, the triangle is acute.

Therefore, the answer is;

acute and equilateral.