9.45 = 28.2 can you answer

Answer:

Option B is correct

The numerical values of the circumference and area are equal.

Step-by-step explanation:

Circumference(C) and Area (A)of the circle is given by:              ....[1]           ......[2]where, r is the radius of the circle.As per the statement:A circle has a diameter of 4 inches. We know:Diameter = 2 (radius(r))then;4 = 2rDivide both sides by 2 we have;r = 2 inchesSubstitute these in [1] and [2] we have;Use then;Therefore, the numerical values of the circumference and area are equal i.e 12.56

Answer:

B and D

Step-by-step explanation:

Answer:

B and D on edgen 2020

Step-by-step explanation:

Answer:

200π m²

Step-by-step explanation:

Lateral area of a cone = πrl

r = 8 m

l = 25 m

Plug in the values

Lateral area = π × 8 × 25

Lateral area = π × 200 = 200π m²

Answer:

200

Step-by-step explanation:

I did it in my acellus

The damping ratio (ζ) is 1, indicating critical damping, and the natural frequency (ωn) is 7.

To illustrate the location of poles and zeros on the s-plane for the given transfer function G(s) = 49/(s+7)(s+7), we first need to factorize the denominator. The transfer function has two poles at s = -7 and s = -7, indicating a double pole at s = -7. The denominator (s+7)(s+7) represents a second-order system.

The poles represent the points on the s-plane where the transfer function becomes infinite, or the system becomes unstable. In this case, the poles are located at s = -7, indicating that the system is critically damped since there is a double pole at the same point.

To determine the damping ratio (ζ) and natural frequency (ωn), we can compare the given transfer function to the standard second-order transfer function form:

G(s) = ωn^2 / (s^2 + 2ζωn s + ωn^2)

By comparing the coefficients, we can see that ωn^2 = 49 and 2ζωn = 14 (since 2ζωn is the coefficient of s). Solving for ωn and ζ, we get:

ωn = sqrt(49) = 7 2ζωn = 14 => ζ = 1

Therefore, the damping ratio (ζ) is 1, indicating critical damping, and the natural frequency (ωn) is 7.

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Answer:

(1 , 1)

Step-by-step explanation:

x+3y=4

x-2y=-1

We can solve this system of equations using the elimination method. In this method there must be two identical variables ( which in this case there is, that variable being x ). If there are two identical variables you can subtract the two equations "eliminating" one of the variables. There is then only one variable in which you can solve for.

So first let's subtract the two equations

x + 3y = 4

- ( x - 2y = -1 )

------------------

remove parenthesis and apply negative sign

x + 3y = 4

-x + 2y = +1

-----------------

0 + 5y = 5

We are now left with one variable in which we can solve for.

5y = 5

divide both sides by 5

y = 1

Next we want to find the value of x.

To do so we simply plug in the value of y into one of the equations and solve for x. Note that we could do this to either equation and we would get the same answer.

x + 3y = 4

y = 1

x + 3(1) = 4

multiply 3 and 1

x + 3 = 4

subtract 3 from both sides

x = 1

So x = 1 and y = 1

Therefore the solution to the system of equations is (1,1)

Answer:

its 4 or d

Step-by-step explanation:

hope this helps!

please mark me brainliest! thanks!

Answer:

y=1

Step-by-step explanation:

8y-9=-3y+2

-2

8y-11=-3y

-8y

-11=-11y/-11

Answer:

y=1

Step-by-step explanation:

8y+3y=2+9

11y/11=11/11

y=1

The expression that represents the volume of the prism in cubic units is xy²/2.

The oblique prism below has an isosceles right triangle base. The expression that represents the volume of the prism in cubic units is V = bh/2 × h, where b is the length of the base and h is the height of the prism. The base is an isosceles right triangle, which means that the two equal sides are each length x.

According to the Pythagorean theorem, the length of the hypotenuse (which is also the length of the base) is x√2. Therefore, the area of the base is:bh/2 = x²/2

The height of the prism is y units. So, the volume of the prism is:

V = bh/2 × h = (x²/2) × y = xy²/2

Therefore, the expression that represents the volume of the prism in cubic units is xy²/2.

The answer is therefore:xy²/2, which represents the volume of the prism in cubic units.

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The product or multiplication of the polynomials is given as

x² +11x + 24.

A result or product is produced by multiplication or a statement that lists the factors to be multiplied.

Given (x+8) (x+3)

let us find the product :

= x² + 8x + 3x + 24

= x² +11x + 24

Let us now test the equivalency .

(x+8) (x+3) = (1+8)(1+3) = (9)(4) = 36

x² +11x + 24 = (1)² + 11(1) + 24 = 36

Hence we can see that the product is same in both the cases.

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In this problem, the lower limit of integral is -3 and the upper limit of integration is 3.

We can use the formula for the surface area of a solid of revolution generated by a curve revolving around a given axis. The formula is S = 2π ∫ a b y dx, where a and b are the lower and upper limits of integration, and y is the height of the curve at x. In this problem, the lower limit of integration is -3 and the upper limit of integration is 3. Substituting y = 1/16(e^8x + e^-8x) into the equation gives S = 2π ∫ -3 3 (1/16(e^8x+e^-8x)) dx. Integral this expression gives S = 10512π.

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Answer:

She did not represent the two original factors correctly on the headers.

Step-by-step explanation:

Adi Algebra titles method is based on the field of values. In the given question the representation of of the product is not correct. The two negative titles must be in the top header so the correct sign in incorporated with the variables.

Answer:

A. She used the algebra tiles correctly.

Step-by-step explanation:

She represents each step of the equation with algebra tiles correctly, even if it could be simplified more.

The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.

The importance of the hydrologic cycle can be understood by considering its various functions:

Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.

Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.

Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.

Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.

Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.

It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.

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Answer:

x = 5

Step-by-step explanation:

vertical angles are equal so we can write this equation:

2x-4 = x+1

x - 4 = 1

x = 5

The dimensions of the rectangle are width = 8 inches and length = 12 inches if its area is 96 square inches.

Let's denote the width of the rectangle as x inches. According to the given information, the length of the rectangle will be (x + 4) inches since it exceeds the width by 4 inches.

The formula for the area of a rectangle is length multiplied by width. We know that the area is 96 square inches, so we can set up the following equation:

Area = Length × Width

96 = (x + 4) × x

To solve this quadratic equation, we can rearrange it and set it equal to zero:

x² + 4x - 96 = 0

Now we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, we can factor the equation:

(x + 12)(x - 8) = 0

Setting each factor equal to zero gives us two possible solutions:

x + 12 = 0

x = -12 (ignore negative value since dimensions cannot be negative)

x - 8 = 0

x = 8

Therefore, the width of the rectangle is 8 inches. Since the length exceeds the width by 4 inches, the length will be (8 + 4) = 12 inches.

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Answer:

the length is 12 inches where as the width is 8 inches

Step-by-step explanation:

assume that the width is x and since its length exceeds in by 4, we can assume that its lenght is x+4 and the area ia 96 so

(x)(x+4)=96

x^2+4x=96

x^2+4x-96=0 hence now we have a quadratic equation

the factors are + 12 and -8

hence,

x^2+12x-8x-96=0

x(x+12)-8(x+12)=0

take (x+12) common

(x-8)(x+12)=0

now lets find the two solutions

x-8=0

x=0+8

x=+8

x+12=0

x=0-12

x=-12

we'll consider +8 only as the length width or height of any shape can't be in negative so lets put 8 into the orignal equation

(x)(x+4)

=(8)(8+4)

=(8)(12)

=96 and so it works

the length is 12 inches where as the width is 8 inches

Note: your equation is a little bit unclear. Thus, I am assuming that

y = 2x+5

Anyway, the procedure remains the same. It would anyways clear your concept.

Answer:

We conclude that the ordered pair (2, 1) is a solution.

Step-by-step explanation:

Given the equation

\(y = -2x+5\)

Check for point (2, 1)

substituting the point (2, 1) in the equation to check whether the ordered point satisfies the equation or not.

\(y = -2x+5\)

plug in x = 2 and y = 1

1 = -2(2)+5

1 = -4+5

1 = 1

R.H.S = L.H.S

TRUE

Therefore, the given ordered pairs satisifes the equation.

Hence, we conclude that the ordered pair (2, 1) is a solution.

we are given a ring homomorphism f: R → R' between commutative rings R and R'. We need to show that if P is a prime ideal of R' and f^(-1)(P) ≠ R, then the ideal f^(-1)(P) is a prime ideal of R.

To prove this, we first note that f^(-1)(P) is an ideal of R since it is the preimage of an ideal under a ring homomorphism. We need to show two properties of this ideal: (1) it is non-empty, and (2) it is closed under multiplication.

Since f^(-1)(P) ≠ R, there exists an element a in R such that f(a) is not in P. This means that a is in f^(-1)(P), satisfying the non-empty property.

Now, let x and y be elements in R such that their product xy is in f^(-1)(P). We want to show that at least one of x or y is in f^(-1)(P). Since xy is in f^(-1)(P), we have f(xy) = f(x)f(y) in P. Since P is a prime ideal, this implies that either f(x) or f(y) is in P.

Without loss of generality, assume f(x) is in P. Then, x is in f^(-1)(P), satisfying the closure under multiplication property.

Hence, we have shown that f^(-1)(P) is a prime ideal of R, as desired.

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Here books can be arranged in: a) 39,916,800 ways b) 17,280 ways c) 86,400 ways d) 86,400 ways e) 30,240 ways

a) When the books can be arranged in any order, the total number of ways is given by 11!, which is the factorial of the number of books that is 39,916,800 ways. b) We have 2! ways to arrange the group and within the group, the math books can be arranged in 6! ways and the biology books can be arranged in 5! ways which is 17,280 ways.

c) The math books can be arranged in 6! ways, and the remaining books can be arranged in 5! ways that is 86,400 ways. d) If the math and biology books must alternate, we consider them as one group. Within this group, the math and biology books can be arranged in 6! ways that is 86,400 ways.

e) When none of the biology books can be next to each other, we consider the arrangements of the math books and the spaces between them. There are 7 spaces available for the biology books to be placed, and we use the permutation formula 7P5 to calculate the number of arrangements which can be 30,240 ways.

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Answer:

step 1 - C.

step 2 - A.

step 3 - B.

Answer:

I do not understand ummmm

The ball will be approximately 352 feet down the fairway when it hits the ground.

To find the distance down the fairway when the ball hits the ground, we need to determine the value of t when y equals zero. We set the equation for y equal to zero and solve for t: -16t^2 + 100sin(40)t = 0

Factoring out t, we have: t(-16t + 100sin(40)) = 0

This equation is true when t = 0 or when -16t + 100sin(40) = 0. However, t = 0 represents the starting point, so we disregard it.

Solving -16t + 100sin(40) = 0 for t, we find:

-16t = -100sin(40)

t = -100sin(40) / -16

Using a calculator, we find t ≈ 2.181.

To find the distance down the fairway, we substitute this value of t into the x equation:

x = 100cos(40)(2.181)

x ≈ 352 feet

Therefore, the ball will be approximately 352 feet down the fairway when it hits the ground.

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A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).

The numbers are written in an ordered list according to their values when they are arranged from least to greatest. The smallest number should be written on the left, followed immediately by the next smallest number.

Ascending order refers to the arrangement of numbers in which the smallest number comes before the largest. The numbers are listed in this fashion in ascending order. It is ideal for the first number to be less than the second. Descending order refers to arranging the integers from largest to least value.

When two fractions have the identical denominators, they are ranked according to the size of their numerators, with the smaller fraction being the smallest. The largest fraction is the one with the largest numerator. Both ascending and descending orders of fractions are possible.

Hence, when we arrange least to greatest the order will be

2/5,2/3,0.67,3.1,31/3

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When we arrange least to greatest the order will be 2/5,2/3,0.67,3.1,31/3

Hence, when we arrange least to greatest the order will be

2/5,2/3,0.67,3.1,31/3

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The person's total salary over the first 6 years is $231,750.

To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.

Given information:

- Initial salary: $34,000

- Annual raise: $1,850

- Number of years: 6

To calculate the total salary, we can use the arithmetic progression formula:

[ S = frac{n}{2} left(2a + (n - 1)dright) ]

Where:

- ( S ) is the sum of the salaries

- ( n ) is the number of terms (years)

- ( a ) is the first term (initial salary)

- ( d ) is the common difference (annual raise)

Substituting the given values, we have:

[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]

Simplifying the expression:

[ S = 3 left( 68000 + 5 times 1850 right) ]

[ S = 3 left( 68000 + 9250 right) ]

[ S = 3 times 77250 ]

[ S = 231750 ]

Therefore, the person's total salary over the first 6 years is $231,750.

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Answer:

x = 99,53633682

Step-by-step explanation:

sin(34) = x/178

x = sin(34)×178

x = 99,53633682

Mateo takes 20 minutes to run around the track once.

The rate at which an object goes from one location to another is known as its speed. It is described as the distance that an object covers in a certain amount of time. The distance traveled in one unit of time is typically used to express speed, such as meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph) (mph).

\(Speed = \frac{distance}{time }\)

Here we assume that the distance around the track is 'd', Adrian's speed is 'a' (in distance per minute) and Mateo's speed is 'm' (also in distance per minute).

Since Adrian takes 15 minutes to run around the track once, we have:

a = d/15

Let's use the formula: time = distance/speed

to write two equations for the total distance traveled by each boy.

For Adrian: 2d = a × 30

For Mateo: 2d = m × t

where 't' is the time it takes Mateo to run around the track once.

Since we know that Mateo runs faster than Adrian, we have:

m > a

Substituting the expression we found for 'a' into the equation for Adrian, we get:

2d = (d/15) × 30

d = 225

Now, we can solve for Mateo's speed using the equation for the total distance traveled by Mateo:

2d = m × t

2(225) = m × t

m = 450/t

Substituting this expression for 'm' into the inequality m > a, we get:

450/t > d/15

15×450 > d×t

6750 > d×t

Substituting d = 225, we get:

6750 > 225t

t < 30

Since Mateo takes less than 30 minutes to run around the track once, and we know that Adrian takes 15 minutes, the possible value for t is 20 minutes: t = 20.

Therefore, Mateo takes 20 minutes to run around the track once.

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Answer:

use the formula: mEq = (mg x valence) / atomic or molecular weight

Step-by-step explanation:

Answer: $239.74 :)

Step-by-step explanation:231.75 for Karen, mom, and dad's rafting, plus 7.99 for the water bottle=239.74 USD