I think these are wrong so I need answers

Answer:

25 students didn't like any of the games

Step-by-step explanation:

20-15=5     40-10=30

20-5=25

The function, which Ladarius could use for the estimation of the replacement of equipment is defined as t(v) = m*v + b.

For an estimate of when Ladarius would need to replace his equipment, we need to define a relation between time and a variable that gives us the condition of the equipment. These are represented by 't' and 'v' respectively.

We can create a function based on the information given.

If Ladarius knows the rate at which the equipment deteriorates, which he measures under the variable v, we can establish a relation between time and v, which goes as follows:

t(v) = m*v + b

where t(v) is the time taken for replacing the equipment, clearly dependent on v.

v, as mentioned before measures the conditions of the equipment.

m is the slope of the graph between t(v) and v, and thus also the rate at which equipment deteriorates.

b is the y-intercept of the above equation on the graph.

To use this equation, Ladarius would need to study the behaviors of the equipment at different and frequent intervals of time. By plotting such data systematically, he can obtain the slope and the y-intercept, which ultimately helps him write the equation.

As a word of caution, it is important to note, that t(v) may not just be linearly dependent on v, and might involve a couple more parameters influencing the process. In both these cases, the equation will change.

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Ladarius can estimate when he would need to replace the equipment based on its current value.

To estimate when Ladarius would need to replace the equipment, we can use a function called t(v). The function t(v) represents the time, in years, that Ladarius would need to replace the equipment based on its value v.

To find the function t(v), we need to consider the lifespan of the equipment and how its value decreases over time. Let's say the equipment has a lifespan of 10 years. We can assume that its value depreciates linearly over those 10 years.

We can start by finding the rate of depreciation per year. Let's say the initial value of the equipment is V0 and its value after 10 years is V10. The rate of depreciation per year can be calculated as (V0 - V10)/10.

Now, we can use this rate of depreciation to find the value of the equipment after any number of years t. The function t(v) can be represented as:

t(v) = (V0 - v)/[(V0 - V10)/10]

In this function, v represents the value of the equipment after t years. Each part of the function represents the following:

- V0: The initial value of the equipment.
- V10: The value of the equipment after 10 years.
- (V0 - V10)/10: The rate of depreciation per year.
- (V0 - v): The difference between the initial value and the value after t years.

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The value of the last side of the fence be so he can make a triangular fenced field is belong in between 3 and 25.

We have to given that;

Cipriano wants to build a triangle grazing area for his cows.to save on expenses he plants to recycle materials that are already available.

Here, He decides that he will make two sides 11m and 14m long.

Hence, The value of the last side of the fence be so he can make a triangular fenced field is, x

⇒ 14 - 11 < x < 11 + 14

⇒ 3 < x < 25

Thus, The value of the last side of the fence be so he can make a triangular fenced field is belong in between 3 and 25.

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The sum of 1039 g and 36.7 kg expressed in milligrams (mg) to the correct number of significant figures is 37,739,000 mg.

To perform the addition, we need to convert 36.7 kg to grams before adding it to 1039 g. There are 1000 grams in 1 kilogram, so we multiply 36.7 kg by 1000:

36.7 kg * 1000 g/kg = 36,700 g

Now, we can add 1039 g and 36,700 g:

1039 g + 36,700 g = 37,739 g

To convert grams to milligrams, we multiply by 1000 because there are 1000 milligrams in 1 gram:

37,739 g * 1000 mg/g = 37,739,000 mg

The final result, expressed in milligrams with the correct number of significant figures, is 37,739,000 mg.

The sum of 1039 g and 36.7 kg, expressed in milligrams (mg) with the correct number of significant figures, is 37,739,000 mg. Remember to consider unit conversions and maintain the appropriate number of significant figures throughout the calculation.

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\(65 \div 5 = 87 \div 3 \\ 15 = 29\)

So, False

Answer:

The equation is false

Step-by-step explanation:

65 ÷5 = 13

87 ÷ 3 = 29

13 and 29 are not equal thus making the equation false.

The distance between the given coordinates  (−5, −19) and (−5, 32) is given by 51 units.

Let us consider the coordinates of two given points be,

(x₁ , y₁ ) = ( -5 , -19 )

(x₂ , y₂ ) = (-5 , 32 )

Distance formula between two points is equals to,

Distance = √ ( y₂ - y₁)² + ( x₂ - x₁ )²

Substitute the values of the coordinates we have,

⇒ Distance = √ ( 32 - (-19))² + ( -5- (-5) )²

⇒ Distance = √ (32 +19)² + (-5 + 5)²

⇒ Distance = √ 51² + 0²

⇒ Distance =  51 units.

Therefore, the distance between the two points is equal to 51 units.

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Answer:

Step-by-step explanation:

Because angle NRM is vertical to angle QRP, they are congruent. That means that arc NM is congruent to arc PQ, making arc MQ and arc NP congruent. That means that arc NP is also 162. Since the outside of a circle measures 360 regardless of how big or small the circle is, we can find the measures of arcs MN and PQ by doing some simple math.

Arc MN = Arc PQ = 360 - 162 - 162 = 36 and divide that in half to get

Arc MN = Arc PQ = 18°. As we all know, the measure of a central angle is congruent to the measure of the arc it intercepts, so the measure of angle NRM is 18°. That gives us the angle we need for the formula:

\(AL=\frac{\theta}{360}*2\pi r\) where θ is the measure of the central angle, 18°:

\(AL=\frac{18}{360}(3.1415)(8)\) which gives us

AL = 1.26 feet (Note: arc length is in distance measures, like feet, inches, meters, etc., while arc measure will always be in degrees!)

Answer:

y=33 z=69

Step-by-step explanation:

The series diverges because ∫(from 1 to infinity) x^2 * e^(-x) dx is not finite.

The integral test states that if a series ∑(from n=1 to infinity) aₙ is a positive, decreasing function, and the integral ∫(from n=1 to infinity) a(x) dx converges, then the series ∑ aₙ also converges. Conversely, if the integral diverges, then the series also diverges.

Let's analyze the given series ∑(from n=1 to infinity) n^2 * e^(-n).

To apply the integral test, we consider the function f(x) = x^2 * e^(-x). This function is positive and decreasing for x ≥ 1 since the exponential term e^(-x) is always positive, and the square term x^2 decreases as x increases.

Now, we evaluate the integral of f(x) from 1 to infinity:

∫(from 1 to infinity) x^2 * e^(-x) dx

To determine whether the integral converges or diverges, we can integrate the function:

∫(from 1 to infinity) x^2 * e^(-x) dx = -x^2 * e^(-x) - 2x * e^(-x) - 2 * e^(-x) | (from 1 to infinity)

Evaluating the limits of the integral, we get:

[-infinity * e^(-infinity) - 2 * infinity * e^(-infinity) - 2 * e^(-infinity)] - (-1 * e^(-1) - 2 * e^(-1) - 2 * e^(-1))

The first term on the left side evaluates to 0 since e^(-infinity) approaches 0 as x approaches infinity. The second term on the right side evaluates to -1 - 2e^(-1).

Therefore, the integral ∫(from 1 to infinity) x^2 * e^(-x) dx does not converge, as the value is not finite.

According to the integral test, if the integral diverges, the series also diverges. Hence, the correct statement is:

The series diverges because ∫(from 1 to infinity) x^2 * e^(-x) dx is not finite.

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The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

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Answer:

Well x=3.375

Step-by-step explanation:

That's all I got.... sorry......

The least common denominator (LCD) of the rational expressions is (x+1)(x-1).

When adding or subtracting rational expressions, we need to find a common denominator. The least common denominator (LCD) is the smallest multiple of the denominators of the rational expressions.

To find the LCD, we follow these steps:

Let's consider an example to illustrate this process:

Example:

Find the LCD of the rational expressions:

x/(x+1) and 1/(x-1)

Step 1: Factor the denominators:

x+1 and x-1

Step 2: Identify the common factors:

There are no common factors in this case.

Step 3: Take the product of the highest powers of each common factor:

Since there are no common factors, we skip this step.

Step 4: Include any unique factors:

The unique factors are x+1 and x-1.

Step 5: Simplify the resulting expression:

The LCD is (x+1)(x-1).

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The least common denominator of the rational expressions in this problem is given as follows:

4x(x + 5).

The rational expressions for this problem are defined as follows:

9/(4x + 20), 10/(x² + 5x).

The denominators are given as follows:

The denominators can be simplified as follows:

The least common denominator is the multiplication of the unique factors, hence it is given as follows:

4x(x + 5).

The expression that completes this problem is given as follows:

9/(4x + 20), 10/(x² + 5x).

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Answer:

A = 222 in²

Step-by-step explanation:

A = 2(wl+hl+hw)             Use this equation to find the surface area of the rectangular prism

A = 2(5*12 + 3*12 + 3*5)    Multiply

A = 2(60 + 36 + 15)            Add in the parentheses

A = 2(111)                             Multiply

A = 222 in²

If this answer is correct, please make me Brainliest!

1. We can use the subset A = R as the domain of the function f.

2. The data support a well-defined function.

3.  (a) f(x) = x^2 -- The function is well-defined.

(b) g(a) = 1/a --The function is not well-defined on R.

(c) h(x) = √(x-2) + 42 -- The function is not defined for any input x less than 2, so it is not well-defined on the entire domain of R.

1. To make f(x) = 3 - 7x a well-defined function, we need to ensure that the output of the function is a real number for every input in the domain.

Since the function is defined for all real numbers x, the domain of the function can also be all real numbers.

2. The data { (1,3), (2,4), (3,2), (4,1)} support a well-defined function from (1,2,3,4) to (1,2,3,4).

For a function to be well-defined, each input in the domain must correspond to exactly one output in the range.

In this case, we can see that each input in the domain (1,2,3,4) has exactly one corresponding output in the range (1,2,3,4).

3.

(a) f(x) = x^2 is a well-defined function on the domain of all real numbers, R. For every input x, the output x^2 is a real number, so the function is well-defined.

(b) g(a) = 1/a is not a well-defined function on the domain of all real numbers, R. The function is undefined at a = 0 because division by zero is not allowed. Therefore, the function is not well-defined on R.

(c) h(x) = √(x-2) + 42 is a well-defined function on the domain x ≥ 2. For every input x greater than or equal to 2, the output √(x-2) + 42 is a real number, so the function is well-defined.

However, the function is not defined for any input x less than 2, so it is not well-defined on the entire domain of R.

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Work Shown:

Plug the first equation into the second equation.

2x - y = 5

2x - (3x-1) = 5

2x - 3x+1 = 5

-x+1 = 5

-x = 5-1

-x = 4

x = -4

Use this to find the value of y.

y = 3x-1

y = 3*(-4)-1

y = -12-1

y = -13

The solution is (x,y) = (-4,-13)

This points to    choice A    as the final answer.

You can use graphing software like Desmos or GeoGebra to confirm that the two lines intersect at (-4,-13).

Answer:

A)  False

B)  True

Step-by-step explanation:

For A) First let's do x/11 = 15. If you solved it by now, you will know that the answer is 0.7333333. So now you just do 11x15. Because the answer is different then the answer we got when doing the division, the answer for A is false

For B) B is definitely true because equation are any mathematical sentences that have an equation symbol. So it's like saying 8x3=24 and 6x4=24. These two equations end up with the same answer so B is true.

I hope this helped you find out the rest :)

Answer:

Step-by-step explanation:

Answer:

Chord = 2 • sine (Central Angle) • radius

radius = 8 cm / 2 * 0.86603

radius = 4.6187776405  cm

Step-by-step explanation:

Answer:

The light blue/greenish one that says T=PV/K or Greeland

Step-by-step explanation:

We can make the equation more simplier by multiplying both sides by P to remove fractions.

It would become VP=KT

The only answer with VP or PV is B, or the T=PV/K

also, to isolate T, divide the VP=KT by K on both sides to isolate T.

VP/K=T

Answer:

Step-by-step explanation:

Therefore, √2 = 1.414 ⇒ √2 = 1.41 (correct tip to 2 places of decimal)

Therefore, √3 = 1.7324 ⇒ √3 = 1.732 (correct tip to 3 places of decimal)

Therefore, √0.08 = 0.894 ⇒ √0.8 = 0.89 (correct tip to 2 places of decimal)

● Square Root.

Answer:

Step-by-step explanation:

You can use the division method to find the value of the non-perfect square number.

The correct rule to describe the function g as a function of f and gives the correct rule is that g(x) = 3x³-6x²+21x-33.

This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.

The correct rule to describe the function

g(x) = 3f(x)

in terms of the function f(x) = x³-2x²+7x-11 is that

g(x) = 3(x³-2x²+7x-11) and thus

g(x) = 3x³-6x²+21x-33.

In order to obtain the function g(x) from the given function f(x), it is necessary to multiply it by a constant, in this case 3.

Therefore, g(x) = 3f(x) means that g(x) is three times f(x).

Thus, we can obtain g(x) as follows:

g(x) = 3f(x) = 3(x³-2x²+7x-11) = 3x³-6x²+21x-33

Therefore, the correct rule to describe the function g as a function of f and gives the correct rule is that

g(x) = 3x³-6x²+21x-33.

This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.

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Draw the triangle with required dimension.

Determine the length of side EY by using the trigonometry.

Thus option B is correct.

The solution is y = 2500/27

The value of y is 2500/27 when x = 5

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the proportionality constant be represented as = k

Now , the value of k is calculated by

y is directly proportional to the cube of x

Substituting the values in the equation , we get

y ∝ x³

On simplifying the equation , we get

y = kx³   where k is the proportionality constant

Now ,

when x = 3 , y = 20

Substituting the values in the equation , we get

20 = k ( 3 )³

20 = k x 27

Divide both sides by 27 , we get

k = 20/27

So , the proportionality constant k = 20/27

Now , when x = 5 ,

y = 20/27 ( 5 )³

y = ( 20 x 5 x 5 x 5 ) / 27

y = 2500/27

Therefore , the value of y is 2500/27

Hence ,

The value of y is 2500/27 and the proportionality constant is 20/27

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9514 1404 393

Answer:

  x = -3±√31 ≈ {-8.568, +2.568}

Step-by-step explanation:

The usual steps are to ...

  group the x-terms

     (x² +6x) -22 = 0

  add and subtract the square of half the x-coefficient

     (x² +6x +(6/2)²) -22 -(6/2)² = 0

  simplify to a binomial square

     (x +3)² -31 = 0

Solve for x.

  (x +3)² = 31

  x +3 = ±√31

  x = -3 ±√31 . . . . . solution to the quadratic

Answer:

x=44 degrees

Step-by-step explanation:

A line = 180 degrees

Given degrees: 136

180-136= 44

The answers are:

Given that:

The perimeter of vegetable plot:

= 4m + 3.5m + 4m + 2m + (3.5 + 2m)

= 19m

Area of vegetable plot:

(1.3 x 5.5) + ( (4 - 1.3) x 3.5)

rounding up to one decimal place = 67.6m²

To know the numbers of meter fence that one can buy, the equation will be:

(perimeter of vegetable plot + the left plot)  - gates.

(19m + (6.5 + 4 + (6.5 - 2) ) )m  - (2.5ft x 2)

= 19m + 15m - 1.5424m

=32.476

=32.5m

Therefore, the answers are:

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The solution to the differential equation D²y(t) + 12 Dy(t) + 36y(t) = 2 \(e^{(-5t)}\), with initial conditions y(0) = 1 and Dy(0) = 0, is \(y(t) = (1 + 6t) e^{(-6t)}\).

To solve the given differential equation using the classical method, we can assume a solution of the form \(y(t) = e^{(rt)}\) and find the values of r that satisfy the equation. We then use these values of r to construct the general solution.

Using the classical method:

Substitute the assumed solution \(y(t) = e^{(rt)}\) into the differential equation:

D²y(t) + 12 Dy(t) + 36y(t) = \(2 e^{(-5t)}\)

This gives the characteristic equation r² + 12r + 36 = 0.

Solve the characteristic equation for r by factoring or using the quadratic formula:

r² + 12r + 36 = (r + 6)(r + 6)

= 0

The repeated root is r = -6.

Since we have a repeated root, the general solution is y(t) = (c₁ + c₂t) \(e^{(-6t)}\)

Taking the first derivative, we get Dy(t) = c₂ \(e^{(-6t)}\)- 6(c₁ + c₂t) e^(-6t).\(e^{(-6t)}\)

Using the initial conditions y(0) = 1 and Dy(0) = 0, we can solve for c₁ and c₂:

y(0) = c₁ = 1

Dy(0) = c₂ - 6c₁ = 0

c₂ - 6(1) = 0

c₂ = 6

The particular solution is y(t) = (1 + 6t) e^(-6t).

Using the Laplace transform method:

Take the Laplace transform of both sides of the differential equation:

L{D²y(t)} + 12L{Dy(t)} + 36L{y(t)} = 2L{e^(-5t)}

s²Y(s) - sy(0) - Dy(0) + 12sY(s) - y(0) + 36Y(s) = 2/(s + 5)

Substitute the initial conditions y(0) = 1 and Dy(0) = 0:

s²Y(s) - s - 0 + 12sY(s) - 1 + 36Y(s) = 2/(s + 5)

Rearrange the equation and solve for Y(s):

(s² + 12s + 36)Y(s) = s + 1 + 2/(s + 5)

Y(s) = (s + 1 + 2/(s + 5))/(s² + 12s + 36)

Perform partial fraction decomposition on Y(s) and find the inverse Laplace transform to obtain y(t):

\(y(t) = L^{(-1)}{Y(s)}\)

Simplifying further, the solution is:

\(y(t) = (1 + 6t) e^{(-6t)\)

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Work Shown:

To find the average price, we will add up the 9 values in column 2 to get

120+272+358+328+406+392+530+592+610 = 3,608

Then divide that total by 9 since there are 9 values we added up

We get the average to be (3,608)/9 = 400.888 which is approximate. This rounds to 400.89

Side note: It's a bit strange how your teacher mentions "charge in pounds" but then uses a dollar sign.

Step-by-step explanation:

To find the mean, you add all the numbers together then divide by the number of numbers.

Charge : 120+272+358+328+406+392+530+592+610=3608/9=400.888888 =400.89 dollars

Answer:

Step-by-step explanation:

y = 12x

12x = y

x = y/12