the ______ empire affected the byzantine immediately prior to it's existence​

Answer:

Rounded to the nearest hundredths, the volume of the cylinder is approximately 58.91 cm^3.

Step-by-step explanation:

To find the volume of a cylinder, you need to know its radius (r) and height (h). In this case, the radius is given as 5 cm and the height is 0.75 cm.

The formula for the volume of a cylinder is:

V = π * r^2 * h

where π is a mathematical constant approximately equal to 3.14159.

Let's substitute the given values into the formula:

V = π * (5 cm)^2 * 0.75 cm

V ≈ 3.14159 * (25 cm^2) * 0.75 cm

V ≈ 58.909 cm^3

its b

Step-by-step explanation:

cuz to sides are the exact same then one side is bigger than the others :)

Answer:

g = 8

Step-by-step explanation:

Hello!

We can solve for g by isolating the variable.

The value of g is 8.

Answer:

\( \sf \: g = 8\)

Step-by-step explanation:

Now we have to,

→ find the required value of g.

The equation is,

→ 2.8(g - 6) + 1.06 = 6.66

Then the value of g will be,

→ 2.8(g - 6) + 1.06 = 6.66

→ 2.8g - 16.8 = 6.66 - 1.06

→ 2.8g - 16.8 = 5.6

→ 2.8g = 5.6 + 16.8

→ g = (22.4)/(2.8)

→ [ g = 8 ]

Hence, the value of g is 8.

Answer:

a. \(\tt \frac{1}{9}\)

b. \(\frac{1}{16}\)

c. 4

Step-by-step explanation:

\(\tt a. \:3^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\) So, we have:

\(\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}\)

\(\hrulefill\)

\(\tt b.\: -2^{-4}\)

We can use the rule that \(\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.\) So, we have:

\(\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}\)

\(\hrulefill\)

\(\tt c. \:(\frac{1}{2})^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\). So, we have:

\(\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4\)

Answer:

Step-by-step explanation:

(a) 3^-2 = 1/9

(b) (-2)^-4 = 1/(-2)^4 = 1/16

(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4

The sum of the areas in the density histogram is indeed one.

To form a frequency histogram, count the number of observations falling within each bin range. Here's the frequency histogram for the given Test Scores vector, with each bin representing a 15-point range starting at 45 and going to 105:

Bin Range | Frequency

45 - 59 | 3

60 - 74 | 6

75 - 89 | 8

90 - 104 | 4

To form a density histogram, calculate the density (frequency divided by the total count) for each bin range. Here's the density histogram for the Test Scores vector with breaks at (45, 50, 70, 85, 100):

Bin Range | Density

45 - 49 | 0.1304

50 - 69 | 0.1739

70 - 84 | 0.3043

85 - 99 | 0.2609

100 - 114 | 0.1304

To find the sum of the areas in the histogram, sum up the densities for all the bins. In this case, the sum of the areas should be equal to 1:

Sum of densities = 0.1304 + 0.1739 + 0.3043 + 0.2609 + 0.1304 = 1

So, the sum of the areas in the density histogram is indeed one.

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Answer:

\(m=-2\)

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in the 2 coordinates into the slope formula to find slope m:

\(m=\frac{-1-3}{-1-(-3)}\)

\(m=\frac{-4}{-1+3}\)

\(m=\frac{-4}{2}\)

\(m=-2\)

By conducting mathematical operations, we know that John's gross pay will be $1,012 if he works 44 hours a week.

A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.

The supplied operands or integers must adhere to a set of predefined rules that are connected to the symbol of the math operator.

The order of operations refers to the rules that specify how to solve an expression including many operations.

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are all referred to as PEMDAS (from left to right).

So, we know that:

John earns $22 per hour for the first 40 hours of a week.

After every additional hour, he earns 1.5 times $22 each hour.

22 * 1.5 = $33

So, John's gross pay if he worked 44 hours will be:

22*40 + 33*4

880 + 132

$1,012

Therefore, by conducting mathematical operations, we know that John's gross pay will be $1,012 if he works 44 hours a week.

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The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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(the tail points right on the number line), the mean is higher than the median.

What is median?

The value of the middle observation found after the data are arranged in ascending order is referred to as the median of the data. In many cases, it is challenging to take all of the facts into account when representing something, and in these cases, median is helpful. The median is one of the simples to compute statistical summary metrics. The median is also known as the place average since it uses the data that is in the center of a sequence to determine its value.

Every student learns one of the fundamental principles of statistics, which is that in a skewed distribution, the mean is closer to the tail, in around the second week of introductory statistics.

Every student learns one of the fundamental principles of statistics, which is that in a skewed distribution, the mean is closer to the tail, in around the second week of introduction to statistics. Therefore, the mean is greater than the median in a right-skewed distribution (where the tail points directly to the right on the number line).

Hence, (the tail points right on the number line), the mean is higher than the median.

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This gives us a wavelength of 0.48 nm of the photon emitted when an electron in an H atom undergoes a transition from n = 5 to n = 2.

The Bohr equation is used to calculate the energy of an electron in a hydrogen atom. To find the wavelength of the photon in a transition from n=5 to n=2, we must first find the energy difference between the two states.

We can calculate this energy difference using the Bohr equation:

E_n = -13.6eV*(1/n^2)

E_5 - E_2 = -13.6eV*(1/5^2 - 1/2^2) = -3.4eV

To find the wavelength, we can use the equation

Wavelength = hc/E

h is Planck's constant (6.626*10^-34 J*s) and c is the speed of light (2.998*10^8 m/s). Plugging in the values, we get

Wavelength = (6.626*10^-34 J*s)*(2.998*10^8 m/s)/(-3.4eV)

This gives us a wavelength of 0.48 nm.

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Complete question:

Usee the Bohr equation to find the wavelength (in nm) of the photon emitted when an electron in an H atom undergoes a transition from n = 5 to n = 2.

Answer:

the x intercept is (-6/5,0)

and the y intercept is (0,6)

Step-by-step explanation:

It should be noted that to determine the values of a and b from a description of an exponential function of the form f(x) = ab^x, one can use two points on the graph.

Use two points on the graph: If you have two points on the graph of the exponential function, you can use them to solve for a and b. Let (x1, y1) and (x2, y2) be two points on the graph. Then, you can set up two equations:

y1 = ab^(x1)

y2 = ab^(x2)

Divide the second equation by the first equation to get:

y2/y1 = (ab^(x2))/(ab^(x1)) = b^(x2 - x1)

Take the logarithm of both sides to get:

log(y2/y1) = (x2 - x1) log(b)

Solve for log(b) and substitute back into the first equation to get:

a = y1 / b^(x1)

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Hi 

let call "a number" X.

then we have: 4-13X = X + 8 ..

Answer:

x=  9     y=5

Step-by-step explanation:

hello :

use phtagor-rul :

y² = 3²+4²

y² =25

so : y=5

same method :

15²=12²+x²

x² =15²-12²

x² =225-144

x² = 81

so : x= 9

Answer:

400000

Step-by-step explanation:

Answer:

12.2%

Step-by-step explanation:

\(\huge{ \color{black}{ \boxed{ \color{hotpink}{Answer}}}}\)

Three pairs of Prime Numbers less than 20 whose sum is divisible by 5 are (2,3), (3,7), (2,13)

\( \: \)

\(\large\tt\:⚘ \: MishiChaeYoon \: ⚘\)

Answer:

(8)2 + 3

16 + 3 = 19

awnser is 19

Solution:

Given:

To reflect a function f(x) across the y-axis, the rule below applies;

Hence, the new function g(x) is;

The graph of both functions is shown below indicating the reflection across the y-axis.

Therefore, the equation of the resulting function is;

Answer:

P = 17/120 Divided 37/120

Step-by-step explanation:

Due to 120 as total and with the following 17 and 20 are form there classes and they are trying to find the members ONLY FOR THERE classroom.

The probability p that the perdimos also a female is 17/120.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Let "A" represent the event that "the selected volunteer is a student of the class"

And "B" the event that "the selected student is female".

Now, Using the formula of conditional probabilities

P(A∩B) = P(A) . P(B)

            = 37/120. 17/20

            = 629/2400

            = 0.26

and, P(A) = 37/120 = 0.308

Then, P(B|A) = 17/20 = 0.85.

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The surface area of the cylinder is 905 square centimeters

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

Diameter, d = 12 cm

Height, h = 18 m

This means that

Radius, r = 12/2 = 6 cm

Using the above as a guide, we have the following:

Surface area = 2πr(r + h)

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

Surface area = 2π * 6 * (6 + 18)

Evaluate

Surface area = 905

Hence, the surface area is 905 square centimeters

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Answer:

least common denominator for 2 and 5 is 10.

The side length of the the rectangular garden are 20 feet by 5 feet.

Let

s = side length of the square garden

l = length of the rectangular garden

w = width of the rectangular garden

From the problem statement,

area of the square garden = area of the rectangular garden

Since the area of a square is just the side length squared, we can write:

s² = l * w

We also know that the length of the rectangular garden is 10 feet longer than the side of the square garden, and that the width of the rectangular garden is 5 feet shorter than the side of the square garden. We can express them as:

l = s + 10

w = s - 5

Now we can substitute these expressions for l and w into our first equation:

s² = (s + 10) * (s - 5)

Expanding the right-hand side, we get:

s² = s² + 5s - 50

0 = 5s - 50

5s = 50

Dividing both sides by 5, we get:

s = 10

Since the side length of the square garden is 10 feet.

We can use this to find the dimensions of the rectangular garden:

l = s + 10 = 10 + 10 = 20

w = s - 5 = 10 - 5 = 5

So the dimensions of the rectangular garden are 20 feet by 5 feet.

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Answer:

$70

Step-by-step explanation:

If the account start with $95, and you deposited $15:

95+15 = $110

After that, you took 65:

110 -65 = $45

After you deposited $40:

45 + 40 = $85

And for last you took more 15:

85 -15 = $70

The probability of Miguel selecting a tile number less than 3 from each bag -1 is 1/5 and bag-2 is 2/5.

The given tiles in bag-1 = {2, 4, 5, 8, 9}

Total number of tiles in bag-1 = 5

The number of tiles less than number 3 in the bag - 1 = 1

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 1/3

The given tiles in bag-2 = {0, 1, 3, 6, 7}

Total number of tiles in bag-2 = 5

The number of tiles less than number 3 in the bag-2 = 2

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 2/3

From the above analysis, we solved the problem.

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The value of \((f+g)(1)\) is 3.

In this question we must apply the definition of addition between functions, whose operation is described below:

\((f+g) (x) = f(x) + g(x)\) (1)

\((x, (f+g)(x)) = (x, f(x))+(x, g(x))\) (1b)

If we know that \((x, f(x) ) = (1,1)\) and \((x,g(x)) = (1,2)\), then the result of the operation is:

\((1, (f+g) (1)) = (1, 3)\)

The value of \((f+g)(1)\) is 3.

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Answer:F. √x = 5-(x + 2)

Step-by-step explanation:

The surface area of the vase is 168.4 square inches.

What is a cylinder?

A cylinder is a three-dimensional geometric shape that has two congruent circular bases connected by a curved surface.

The surface area of the cylindrical vase can be found using the formula SA = B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the vase. Since the vase has a circular base, the area of the base can be found using the formula for the area of a circle: B = πr², where r is the radius of the base.

The diameter of the vase is 4.3 inches, so the radius is half of that, or 2.15 inches. The area of the base is therefore:

B = πr² = 3.14 * (2.15)² ≈ 14.46 square inches.

The perimeter of the base is the circumference of the circle, which can be found using the formula C = 2πr:

P = 2πr = 2 * 3.14 * 2.15 ≈ 13.53 inches.

Now we can use the formula SA = B + Ph to find the surface area of the vase:

SA = B + Ph = 14.46 + 13.53 * 11 ≈ 168.39 square inches.

Rounding to the nearest tenth of a square inch, the surface area of the vase is approximately 168.4 square inches.

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Using a calculator, the trigonometric ratio of sin 98 is approximately 0.9848.

One of the trigonometric ratio we have in mathematics is the sine ratio. We can use calculator to find the sine of an angle without making use of tables. To do this on your calculator, enter the sine function followed by the degree of the angle you want to find its sine. You will get your answer.

Using a calculator, we can find the sine of 98 degrees as follows:

sin 98° ≈ 0.9848

Rounding this to four decimal places, we get:

sin 98° ≈ 0.9848

Therefore, sin 98° is approximately equal to 0.9848.

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