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The illustrated volume of the cylinder is 769cm³.

One of the most fundamental curvilinear geometric shapes, a cylinder has traditionally been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In many contemporary branches of geometry and topology, a cylinder can also be defined as an infinite curvilinear surface.

It should be noted that the formula for finding the volume of a cylinder is πr²h

where π = 3.14

r = radius

h = height

Let's assume that the height is 5cm and radius is 7cm. The volume will be:

V = πr²h

Volume = 3.14 × 7² × 5

Volume = 769cm³

Note that your information was incomplete and an overview was given.

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Answer:

2/3 + -1/3 = positive 1/3

Answer:

To find the sum of 2/3 + (-1)/3, you can first convert the fraction to an equivalent fraction with a common denominator. In this case, the common denominator would be 3. 2/3 can be written as 2 x (3/3) = 2/3 and -1/3 can be written as -1 x (3/3) = -1/3. Then, you can add the numerators and the denominator will remain the same. So, the sum of 2/3 + (-1)/3 is 1/3.

Answer:

22mile=1sec

x=360sec

criss cross method

(x)(1)=360×22

x=7920miles

Answer:

m = -21.

Step-by-step explanation:

To solve this equation, we can use the distributive property to expand the left side and the right side of the equation:

19(2m - 16) = 13(2m + 4)

38m - 304 = 26m + 52

Then we can combine like terms on both sides of the equation to obtain:

38m - 26m = 52 - 304

12m = -252

Finally, we can divide both sides of the equation by 12 to find the value of m:

12m / 12 = -252 / 12

m = -21

Therefore, the value of m that satisfies the equation is m = -21.

The constant of proportionality for the data in the table is 65. This can be determined by dividing the number of trees planted by the number of weeks for each data point in the table. For example, for the first data point where 2 weeks have passed, 130 trees have been planted, which means the constant of proportionality is 65 (130 / 2 = 65). This value is the same for all of the data points in the table, which means it is the constant of proportionality for the data.

A) First we need to subtract the tax, the correct option is D.

B) by dividing the total cost without the tax by the number of people, we wiill see that each ticket costs $6, the correct option is C.

We want to find the total cost of each ticket not including the tax, then the first thing that we need to doo is take the total cost ($256) and subtract the $10 of the tax, we will ge:

$256 - $10 = $246

Then the correct option is D

"Subtract $10 from $256 to find the total cost of the tickets without the tax."

Part B:

Now we can divide that amount by the number of people so we get how much each ticket costs:

19 + 22 = 41

We will get:

$246/41 = $6

Then the correct option is C.

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It s true that a text file contains bytes of data that represent characters from a particular character set such as Unicode or ASCII. The correct option to this question is "True".

The text file contains texts that are represented by Unicode or ASCII. The Unicode or ASCII represents how the numbers, text, or other commands are displayed and written in a text file.

To represent text digitally in the text file, characters have their own unique character representation bit-pattern. These bit-pattern have a combination of 1s and 0s. And these patterns are represented by character codes that are either Unicode or ASCII.

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With 450 kids and chaperone there are 451 passengers to be transported, Using simple unitary method, The answer is 6 buses.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.

The arithmetic operator is used to carry out mathematical operations on the provided operands, including addition, subtraction, multiplication, division, and modulus.

total members to be transported = 451

each bus hold = 80

Number of bus needed = 451/80 = 5.63

So, We need 6 buses in total.

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Answer:

Step-by-step explanation: y+9=-3(x-4)......given equation

This equation can be expanded further and simplified

y+9=-3x+12

We want to put the equation into the form y=mx+b so we can read its characteristics

To do this we need to get y on its own. We must take 9 from both sides

y+9-9=-3x-9+12

y=-3x+3

The equation has a gradient or slope or m =-3 and it cuts the y-axis at +3 or is the yintercept

The measurement of angles △XYZ are ∠X = 59°, ∠Y = 89°, and ∠Z = 32°.

The measurement of angles △LMN are ∠L = 59°, ∠M = 89°, and ∠N = 32°.

What is angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Given that, △XYZ and △LMN are similar triangle.

Since the triangles are similar, thus the measurement of triangles are similar.

Therefore,

∠X = ∠L, ∠Y = ∠M, ∠Z = ∠N.

∠Y = ∠M = 89° and ∠Z = ∠N = 32°.

The sum of all interior angles of triangle is 180°.

∠X + ∠Y + ∠Z = 180°

∠X + 89° + 32° = 180°

∠X + 121° = 180°

Subtract 121° from both sides:

∠X  = 59°

∠X = ∠L = 59°.

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the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done.

A force applied across a distance is what is referred to as work.

In this problem,

the force applied is the weight of the cable (5 lb/ft) multiplied by the length of the cable (100 ft).

Therefore, the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done.Work is a force applied across a distance, and it is measured in a unit of energy called foot-pounds. In this problem, the force applied is the weight of the cable (5 lb/ft) multiplied by the length of the cable (100 ft). Therefore, the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done. This means that 500 ft-lb of energy must be expended in order to move the cable 100 ft. This energy can be provided by a variety of sources, such as human labor, a motor, or some other mechanism.

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Answer:

b = -144

Step-by-step explanation:

b/24 = -6

Multiple 24 on both sides since it's being divided.

b = -144

Answer:

[tex] \sf \: b = - 144[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of b.

The equation is,

→ b/24 = -6

Then the value of b will be,

→ b/24 = -6

→ b = (-6) × 24

→ [ b = -144 ]

Hence, the value of b is -144.

Answer:

4a)   [tex]P=2L+2W[/tex]

4b)  

       [tex]42=2L+2W\\L=2W+3[/tex]

4c)  

     [tex]L=15\\W=6[/tex]

Step-by-step explanation:

Note:

[tex]P=[/tex] Perimeter

[tex]L=[/tex] Length

[tex]W=[/tex] Width

The perimeter of a rectangle is the sum of all its sides.

We can say

[tex]P=L+L+W+W[/tex]

Which simplifies to

[tex]P=2L+2W[/tex]

This is the equation to find the perimeter of a rectangle.

We are given the perimeter which is 42.

We are also given that the length is the sum of twice its width and 3.

So we can write

[tex]42=2L+2W\\L=2W+3[/tex]

Lets solve using substitution.

Substitute [tex]L=2W+3[/tex] into the first equation.

[tex]42=2W+2(2W+3)[/tex]

Expand the right side of the equation then simplify.

[tex]42=2W+4W+6\\42=6W+6[/tex]

Subtract 6 from both sides.

[tex]36=6W[/tex]

Divide both sides by 6 to isolate [tex]W[/tex].

[tex]W=6[/tex]

Perform a back substitution.                                                                           Substitute [tex]W=6[/tex] into the second equation, [tex]L=2W+3[/tex]

[tex]L=(2*6)+3\\L=12+3\\L=15[/tex]

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A graph [tex]\frac{1}{A_{t}}[/tex] and time yields a straight line for a second order reaction. The positive slope of the straight line is rate constant k for second order.

For a second order reaction A→B.

The integrated rate law is

-d[n]/dt = k[A]^{r}

where, k = rate constant of second order reaction and

[A]^{r} = concentration of [A]

-[tex]\int^{A_{t}}_{A_{0}}\frac{d[A]}{[A]^{r}} = k\int^{t}_{t_{0}}dt[/tex]

where, [tex]A_{t}[/tex] = concentration of A at time t

[tex]A_{0}[/tex] = concentration of A at time t=0

[tex]\frac{1}{A_{t}}-\frac{1}{A_{0}}=kt[/tex]

Adding [tex]\frac{1}{A_{0}}[/tex]on both side, we get

[tex]\frac{1}{A_{t}}=kt+\frac{1}{A_{0}}[/tex]....................(1)

On comparing the equation 1 by the equation y = mx+c, we get that the plot of [tex]\frac{1}{A_{t}}[/tex] and plot of time t will be in the straight line with the positive slope k.

The plot is given below:

Hence, a graph [tex]\frac{1}{A_{t}}[/tex] and time yields a straight line for a second order reaction. The positive slope of the straight line is rate constant k for second order.

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The complete question is given below:

Answer:

A. 1 cm and 5 cm

Step-by-step explanation:

Let me know if my work makes sense!

Answer:

30) 0.0,000,115

31) 0.00,000,000,022

32) 43,000,000,000

Step-by-step explanation:

30

1.15 x [tex]10^{-5}[/tex]  The negative exponent is telling us that the number in standards form is smaller than 1.15.  To write in standard form we move the decimal 5 places to the left.

0.0,000,115

31

2.2 x [tex]10^{-10}[/tex] This is like question 30, but we will move the decimal 10 places to the left this time.

0.00,000,000,022

32

4.3 x [tex]10^{10}[/tex]  the exponent is positive this time.  That means in standard from the number is much larger than 4.3.  Move the decimal point 10 places to the right.  If you do not see a decimal point, it means that it is at the end of the number.

43,000,000,000

To answer the question, Miae needs 3/8 cup of sugar for 1/2 of a batch, it is important to understand the concept of fractions. miae is baking .the recipe uses 3/4 cup sugar.Miae needs 3/8 cup of sugar for 1/2 of a batch.

To answer the question, Miae needs 3/8 cup of sugar for 1/2 of a batch, it is important to understand the concept of fractions. A fraction is a part of a whole, it is represented by a numerator and denominator, the numerator represents the number of parts and the denominator represents the total number of parts. In this question, the recipe calls for 3/4 cup of sugar for the entire batch, so to get 1/2 of the batch, Miae needs to divide the fraction by 2. To do this, we can either divide the numerator and denominator by 2, or multiply the fraction by 1/2. In this case, 3/4 multiplied by 1/2 is 3/8, so Miae needs 3/8 cup of sugar for 1/2 of a batch.

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Step-by-step explanation:

5.

y = 3

yes, that's it for this here too.

it means that any value for x is valid, and all have the assigned y value 3.

6.

remember, the usual equation for a line is

y = ax + b

"a" being the slope, "b" the y-intercept (the y-value when x = 0).

we see the y-value for x = 0 is 3. that is "b".

for the slope we need 2 points and calculate the x- and y- coordinate differences.

always look for points with integer coordinates.

I see e.g. (0, 3) and (3, 2).

x changes by +3 (from 0 to 3).

y charges by -1 (from 3 to 2).

the slope "a" = -1/+3 = -1/3

the equation is then

y = (-1/3)x + 3

7.

we do exactly the same things.

we see the y-value for x = 0 is +1. that is "b".

I see e.g. these points : (0, 1) and (3, 2).

x changes by +3 (from 0 to 3).

y changes by +1 (from 1 to 2).

the slope "a" is +1/+3 = 1/3.

the equation is

y = (1/3)x + 1

8.

and again the same things.

we see the y-value for x = 0 is +3. that is "b".

I see e.g. these points : (0, 3) and (-3, 0).

x changes by -3 (from 0 to -3).

y changes by -3 (from 3 to 0).

the slope "a" is -3/-3 = 3/3 = 1.

the equation is

y = x + 3

Answer:

1,100

Step-by-step explanation:

1000 x 0.1 = 100

1000 + 100 = 1,100

The set of the values of the side lengths of an isosceles triangle that has a hypotenuse that is 8 units long is: C. 4√2, 4√2, and 8.

An isosceles triangle is a type of triangle that has two sides that are of the same length, while the third side has a different length.

The hypotenuse is found in a triangle that has a right angle. This means the triangle is a right triangle, and therefore, according to the Pythagorean theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the other legs of the triangle.

Considering the definition given above, it means the right triangle we are looking for must be a right triangle is isosceles, which hast two equal sides and an hypotenuse that is 8 units long.

The values of the set of lengths, 2, 4, and 8 cannot be the isosceles triangle because they have three different side lengths.

8,8, and 16 do not conform to the Pythagorean Theorem because:

16² ≠ 8² + 8²

4√2, 4√2, and 8 conform to the Pythagorean Theorem because:

8² = (4√2)² + (4√2)²

64 = 64

Therefore, the values of side lengths are: C. 4√2, 4√2, and 8.

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The equivalent expression to {(2 3/10)⁴ ÷ (9/10)⁵}⁴ is "2 and three tenths raised to the sixteenth power divided by nine tenths raised to the twentieth power".

The correct answer choice is option B

Exponents refers to the power to which a number, expression or symbol is to be raised. For instance, 4²; the exponent is 2 which is a power.

{(2 3/10)⁴ ÷ (9/10)⁵}⁴

= (2.3⁴ ÷ 0.9⁵)⁴

Multiply the powers

= 2.3¹⁶ ÷ 0.9²⁰

It can also be written as

(2.3)¹⁶ / (0.9)²⁰

Consequently, the expression which is equivalent to 2 and three tenths raised to the fourth power divided by nine tenths raised to the fifth power, all raised to the fourth power is (2.3)¹⁶ / (0.9)²⁰

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Answer:

I am 100% sure it is b

Step-by-step explanation:

I have proof( i did the test) and took a picture

Answer: See attached for the graph.

Step-by-step explanation:

     To find the answer to this question, we will isolate the variable x.

   Given:

|x| + 3 > 3

   Subtract 3 from both sides of the equation:

|x| > 0

  Aboslute value:

x > 0, x < 0

   This means the graph will be greater than or less than 0.

The fraction or ratio for the bracelet aren't equivalent.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.

Here Marcia made 10 bracletes for 5 friends. This will be:

= 10/5

= 2:1

Jen made 1 braclets for 4 friends. This will be:

= 1/4.

= 1:4

The fraction or ratio aren't equivalent.

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Answer:

y= 6

Step-by-step explanation:

9³ = 3^y

3²^³ = 3^y

3⁶ = 3^y

therefore

y=6

A function f such that f '(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f is f(x) = 3x^4/4 + 729/4.

In the given question, we have to find a function f such that f'(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f.

The given function is f'(x) = 3x^3.

No integrating on both side,

f(x) = [tex]\int3x^3dx[/tex] + C

f(x) = 3x^4/4 + C

As given, the line 81x + y = 0 is tangent to the graph of f.

So, slope at point of tangent; f'(x) = -81

So, 3x^3 = -81

Divide by 3 on both side, we get

x^3 = -27

Taking cube root on both side, we get

x = -3

So putting the value of x in 81x + y = 0, we get

y = 243

Thus, f(x) passes through (-3, 243).

So, 243 = 3/4(81) + C

Multiply by 4 on both side, we get

972 = 243 + 4C

Subtract 243 on both side, we get

4C = 729

Divide by 4 on both side, we get

C = 729/4

So, f(x) = 3x^4/4 + 729/4

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A plot of all the ordered pairs for the values in the domain is shown in the graph attached below.

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input values (x-values) to a function and the domain of a graph consist of all the input numerical values which are shown on the x-axis.

Based on the values given for the domain of this function, the ordered pairs would be calculated as follows:

When x = -8, we have;

y = 1/2(-8) + 1

y = -3

Ordered pair = (-8, -3)

When x = -4, we have;

y = 1/2(-4) + 1

y = -1

Ordered pair = (-4, -1)

When x = 0, we have;

y = 1/2(0) + 1

y = 1

Ordered pair = (0, 1)

When x = 2, we have;

y = 1/2(2) + 1

y = 2

Ordered pair = (2, 2).

When x = 6, we have;

y = 1/2(6) + 1

y = 4

Ordered pair = (6, 4)

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The exponential function in the form y = ab^x is y = 18(7)^x

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

Points: (0, 18) and (3,6174).

The above can be represented as

(x, y) = (0, 18) and (3,6174).

An exponential function is represented as

y = ab^x

Where

a = y when x = 0

This means that

a = 18

So, we have

y = 18b^x

At (3,6174), we have

6174 = 18b^3

So, we have

343 = b^3

Take the cube root of both sides

b = 7

This means that

y = 18(7)^x

Hence, the function is y = 18(7)^x

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Using the normal distribution, the middle 50% would be expected to be in the range of 250 to 270 days.

Using the central limit theorem, for the samples of 36, the middle 50% would be expected to be in the range of 258 to 262 days.

A sort of continuous probability distribution for a real-valued random variable is the normal distribution or the Gaussian distribution.

Normal Distribution of Probabilities

The z-score formula, which for a measure X, in a set with mean and standard deviation, is given by: can be used to address problems with normal distributions.

Z = (X - μ)/σ

The z-score calculates the measure's standard deviation from the mean.

A p-value, or percentile of X, is assigned to each z-score.

Mean (μ) = 260.

Standard deviation (σ)= 15 .

The normal distribution is symmetric, which means that the middle 50% is between the 25th percentile and the 75th percentile.

The 25th percentile is X when Z has a p-value of 0.25, so X when Z = -0.675.

The 75th percentile is X when Z has a p-value of 0.75, so X when Z = 0.675.

Lower bound:

Z = (X - μ)/σ

⇒ -0.675 = (X - 260)/15

⇒ X - 260 = -0.675*15

⇒ X - 260 = -10.125

⇒ X = 260 - 10.125

⇒ X ≈ 250

Upper bound:

Z = (X - μ)/σ

⇒ 0.675 = (X - 260)/15

⇒ X - 260 = 0.675*15

⇒ X - 260 = 10.125

⇒ X = 260 + 10.125

⇒ X ≈ 270

The middle 50% of pregnancies would be in the range of 250 to 270 days.

For sample of 36: By the Central Limit Theorem, the standard deviation of the sampling distribution of sample means of size n is given by .

Sample of 36, thus n=36, s=15/√36

⇒ s=15/6

⇒ s=2.5

Lower bound:

Z = (X - μ)/s

⇒ -0.675 = (X - 260)/2.5

⇒ X - 260 = -0.675*2.5

⇒ X - 260 = -1.69

⇒ X = 260 - 1.69

⇒ X ≈ 258

Upper bound:

Z = (X - μ)/s

⇒ 0.675 = (X - 260)/2.5

⇒ X - 260 = 0.675*2.5

⇒ X - 260 = 1.69

⇒ X = 260 + 1.69

⇒ X ≈ 262

The middle 50% of pregnancies would be in the range of 258 to 262 days.

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a) The volume of the gas is 0.923 x [tex]10^{-6}[/tex] m³.

b) The pressure of the gas is 0.532 x [tex]10^7[/tex] Pascals.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

3 = 4k is an equation.

We have,

Volume of a gas (V) ∝ 1/ Pressure of a gas (P)

This can be written as,

Volume of a gas = K / Pressure of a gas

K = VP

Now,

P =1.8 x [tex]10^6[/tex] Pascals

V = 2.1 x [tex]10^{-8}[/tex] m³

K = VP = 1.8 x 2.1 x [tex]10^{-2}[/tex]

k = 3.78 x [tex]10^{-2}[/tex] pascal m³

Now,

P = 4.1 x [tex]10^4[/tex] Pascals

V = K/P =  3.78 x [tex]10^{-2}[/tex] Pascal m³ / 4.1 x [tex]10^4[/tex] Pascals

V = 0.923 x [tex]10^{-6}[/tex] m³

Now,

V = 7.1 x [tex]10^{-9}[/tex] m³

P = k/V =  3.78 x [tex]10^{-2}[/tex] Pascal m³ / 7.1 x [tex]10^{-9}[/tex] m³

P = 0.532 x [tex]10^7[/tex] Pascals

Thus,

The volume is 0.923 x [tex]10^{-6}[/tex] m³.

The pressure is 0.532 x [tex]10^7[/tex] Pascals.

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