what is 120kg in lb?

the reflection of the given function will be f(-x) = 0.5 4⁻ˣ and the graph of this function is attached below.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given, a function as shown in the graph:

To reflect a function over the y-axis we use the rule:

f(-x) reflects the graph of f(x) over the y-axis. In other words,  to reflect f(x) over the y-axis, we just need to replace x with -x.

Let's find f(x) first using the standard exponential growth function:

f(x) = a( 1 + b )ˣ

From our graph, we can infer that f(x) = 1/2 when x =0, so let's replace those values in our function:

f(x) = a( 1 + b )ˣ

1/2 = a(1 +b)⁰

a = 1/2

We can also infer that f(x) = 8 when x =2. Since we already know that a = 1/2, let's replace the values to find and complete our function:

f(x) = a( 1 + b )ˣ

8 = 1/2(1 +b)²

4 = 1+b

b = 3

So putting it all together:

f(x) = 1/2( 1 + 3 )ˣ

Finally, we can apply the reflection rule to find the reflection over the y-axis:

f(-x) = 1/2(4)⁻ˣ

f(-x) = 0.5 4⁻ˣ

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The coordinates of point bbb are \left(\dfrac{2a+7c}{9}, 0\right)left( 9 2a+7c ​ , 0 right).

To find the coordinates of point bbb on \overline{ac}ac start overline, a, c, end overline, we need to use the formula for the division of a line segment in a given ratio. The formula is:

\begin{aligned} x &= \dfrac{x_1m+x_2n}{m+n} \\ y &= \dfrac{y_1m+y_2n}{m+n} \end{aligned}
Where m and n are the given ratio, and (x1, y1) and (x2, y2) are the coordinates of the two endpoints of the line segment.

In this case, the given ratio is \dfrac{2}{7}7 2 ​ start fraction, 2, divided by, 7, end fraction, and the coordinates of the two endpoints are (x1, y1) = (a, 0) and (x2, y2) = (c, 0).

Plugging in the values into the formula, we get:
\begin{aligned} x &= \dfrac{a \cdot 2 + c \cdot 7}{2+7} \\ y &= \dfrac{0 \cdot 2 + 0 \cdot 7}{2+7} \end{aligned}

Simplifying the equations, we get:
\begin{aligned} x &= \dfrac{2a+7c}{9} \\ y &= 0 \end{aligned}

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Answer:

Step-by-step explanation:

If 1in is equal to 47 feet irl, then that means that the actual width is 47ft and the actual length is 94ft.

Multiply those two together and you get 4,418 sq ft as your answer.

Answer: Here is the answers to your previous question that was deleted. As for this question, I believe the answer is the first one.

1) [tex]200\pi[/tex]
2) [tex]3\sqrt{3}[/tex]  
3) [tex]-1[/tex]  
4) 9  
5) 0.151

Step-by-step explanation:

#1

[tex]=\frac{dV}{dt} =\frac{4}{3} \pi .3r^3\frac{dr}{dt}[/tex]

[tex]=\frac{dV}{dt} =4\pi r^2\frac{dr}{dt}[/tex]

[tex]=\frac{dV}{dt} =4\pi r^2*2...[\frac{dr}{dt} =2][/tex]

[tex]=\frac{dV}{dt} = 8\pi r^2~~~ in^3/min[/tex]

         [tex]r=5[/tex]

[tex]=\frac{dV}{dt} =8\pi (5)^2[/tex]

[tex]=200\pi ~~~in^3/min[/tex]

#2

[tex]\frac{d}{dt} (x^2+y^2)=\frac{d}{dt} (16)[/tex]

[tex]2x(\frac{dx}{dt} )+2y(\frac{dy}{dt})=0[/tex]

[tex]2x(\frac{dx}{dt} )+-2y(\frac{dy}{dt})=0[/tex]
Divide both sides by 2.

[tex]x(\frac{dx}{dt})=-y(\frac{dy}{dt})[/tex]

[tex]\frac{dx}{dt}=\frac{-y(\frac{dy}{dt}) }{x}[/tex]

As the particle is passing through the point [tex](2,2\sqrt{3})[/tex] , So, the point will satisfy the equation. Substituting the value of [tex]x=2[/tex] , [tex]y=2\sqrt{3}[/tex] and [tex]\frac{dy}{dt} -3[/tex],

we get ,

[tex]\frac{dx}{dt} =\frac{((-2\sqrt{3})*(-3))}{2}[/tex]

[tex]=\frac{6\sqrt{3} }{2}[/tex]

[tex]=3\sqrt{3}[/tex]

#3

Go on to Desmos and put in [tex]x+3y=6[/tex] and look at x=0 and x=1 and use those two as your points.

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]=\frac{1-3}{2-0}[/tex]

[tex]=\frac{-2}{2}[/tex]

[tex]=-1[/tex]

#4

[tex]y=3x^2-4x-6[/tex]

[tex]\frac{dy}{dt} =5x-6[/tex]

[tex]\frac{dy}{dt}=5(3)-6[/tex]

[tex]\frac{dy}{dt} =9[/tex]

#5

[tex]V=s^3[/tex]

[tex]\frac{dV}{dt} =3*s^2(\frac{ds}{dt})[/tex]

[tex]-2=3*s^2(\frac{ds}{dt} )~~~~~~~~~~~~~Equation 1[/tex]

[tex]\frac{ds}{dt} =\frac{1.33}{s^2}[/tex]

[tex]V=s^3[/tex]

[tex](27)^0^.^3^3=(s^3)^0^.^3^3[/tex]

[tex]s[/tex] ≈ [tex]2.97 ~~~~~~~~~~~~~~~~~~~~~~Equation2[/tex]

Substitute equation2 to equation1, we get

[tex]\frac{ds}{dt} =\frac{1.33}{(2.97)^2} =0.151[/tex]

I hope this helps you! Cheers! ^^

Knowing the absolute prices of goods X, Y and Z, we obtain their relative prices:

The relative price of a good is the price of that good in terms of another good. It is calculated by dividing the absolute price of one good by the absolute price of another good.

The relative price of X in terms of Y is calculated by dividing the absolute price of X by the absolute price of Y:

Relative price of X in terms of Y = Absolute price of X / Absolute price of Y

X/Y = $23 / $42

X/Y = 0.55

The relative price of Y in terms of Z is calculated by dividing the absolute price of Y by the absolute price of Z:

Relative price of Y in terms of Z = Absolute price of Y / Absolute price of Z

Y/Z = $42 / $56

Y/Z = 0.75

The relative price of Z in terms of X is calculated by dividing the absolute price of Z by the absolute price of X:

Relative price of Z in terms of X = Absolute price of Z / Absolute price of X

Z/X = $56 / $23

Z/X = 2.43

In conclusion, the relative price of X in terms of Y is 0.55, the relative price of Y in terms of Z is 0.75, and the relative price of Z in terms of X is 2.43.

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The economic life cycle analysis does not take into account factors such as technological advancements or changes in regulatory requirements, which can affect the optimal replacement interval.

Yet, it is important to review and update the analysis periodically to ensure that the replacement interval remains optimal.

There are the normal steps for calculating the optimum replacement interval using the economic life cycle analysis:

1. Estimate the annual maintenance and repair costs for the item, based on historical data or industry standards.

2. Estimate the annual operating costs for the item, such as energy or fuel costs.

3. Compare the total cost of ownership for the item over its expected useful life to the cost of replacing the item with a newer or more efficient model.

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The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.

The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.

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500 grams is equivalent to approximately 17.637 ounces.

Gram is a metric unit of weight equal to one thousandth of a kilogram.

Ounce is a unit of weight equal to one sixteenth of a pound or 16 drams or 28.349 grams.

Ounce is defined as exactly 28.349523125 grams and is equivalent to one sixteenth of an avoirdupois pound.

To convert 500 grams to ounces,

We can use the conversion factor that 1 ounce is equal to 28.3495 grams.

So, we can write:

500 grams = (500 ÷ 28.3495) ounces

500 grams = 17.637 ounces (rounded to three decimal places)

Therefore, 500 grams is equivalent to approximately 17.637 ounces.

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Answer:

The solutions to the equation cos(x + 3π/2) = √2/2 on the interval [0, 2π] are x = π/4 + 2kπ, k ∈ {0, 1, 2, 3}.

To determine how many miles Theden needs to hike on the third day to finish the trail, we can subtract the distance he hiked on the first two days from the total trail distance:

Total trail distance = 40 miles

Distance hiked on first day = 12.8 miles

Distance hiked on second day = 16.9 miles

Total distance hiked on first two days = 12.8 + 16.9 = 29.7 miles

Distance left to hike on the third day = 40 - 29.7 = 10.3 miles

Therefore, Theden needs to hike 10.3 miles on the third day to finish the trail.

In reference to the article “Climate Change and Ecosystems,” the EPA  explains how the Earth's ecosystems are being impacted by climate change, resulting in negative consequences for both natural resources and human well-being.

In response to widespread public environmental concerns that grew in strength in the 1950s and 1960s, the Environmental Protection Agency was established. By examining the effects of pollutants and setting usage restrictions, the EPA has worked to preserve and protect the environment while also enhancing human health.

The EPA controls the production, transformation, use, and disposal of chemicals and other pollutants. The EPA is also tasked with figuring out the acceptable levels of chemicals and other pollutants in water, animal feed, and food.

In general, the Environmental Protection Agency develops and implements environmental regulations, sponsors and conducts research, and guards against serious health risks to people and the environment and also maintain a favorable climate for all.

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Answer: 240 people

Step-by-step explanation:

If each class has 23 students and 1 teacher then there are a total of 24 people in each class. Multiply that by 10 classes, you should get 240 people.

The correct answer is (c) Understate change in the cost of living because consumers substitute toward goods whose relative prices are declining.

consumers do substitute toward goods whose relative prices are declining. This means that they are able to maintain their standard of living even if the overall cost of living increases. Therefore, the CPI tends to understate changes in the cost of living because it does not fully account for consumer substitution.  

The other options are not correct because:

a. The CPI does take into account quality changes by adjusting prices for changes in quality.

b. The CPI adjusts for changes in relative prices, so it does not overstate changes in the cost of living due to substitution effects.

d. The CPI includes services, but it may understate changes in the cost of living if the prices of services are increasing faster than the prices of goods.

e. The CPI includes a wide range of items, including volatile items such as fruit, vegetables, and petrol. However, the weights assigned to these items may change over time to reflect changes in consumer spending patterns.

The correct answer is (c) Understate change in the cost of living because consumers substitute toward goods whose relative prices are declining.

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As a result, if the two angles' measurements are (3y+11) and (11y+15) and they are congruent, then y must equal -1/2.

An angle is a geometric figure formed by two rays that have a common endpoint, called the vertex. The rays are also known as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees. Angles can also be measured in radians, which are another unit of angular measurement used in mathematics and physics. One radian is equal to the angle subtended by an arc of a circle that has a length equal to the radius of the circle. The size of an angle is determined by the amount of rotation that occurs between the two rays. This is typically measured relative to the positive x-axis, with counterclockwise rotations being considered positive and clockwise rotations being considered negative. Angles are used in a wide range of mathematical and scientific applications, including geometry, trigonometry, physics, engineering, and architecture. They are also used in many everyday situations, such as measuring the size of an opening or the angle of incidence of sunlight on a surface.

Here,

If the two angles are congruent, then they must have the same measure.

So we can set the expressions for the measures of the two angles equal to each other and solve for y:

3y + 11 = 11y + 15

Subtracting 3y from both sides:

11 = 8y + 15

Subtracting 15 from both sides:

-4 = 8y

Dividing both sides by 8:

y = -1/2

Therefore, if the measure of the two angles is (3y+11) and (11y+15) and they are congruent, then y must equal -1/2.

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The required value of h(t)=-20+11t at t=11 is , h(11)=101.

The word PEMDAS is primarily used in the US, although we refer to it as BODMAS in India and the UK. Yet, there is no distinction between them. For both the rule and brackets, addition, subtraction, multiplication, and division are performed in the same order.

The following is the full form of PEMDAS:

P – Parentheses  [{()}]

E – Exponents (Powers and Roots)

MD- Multiplication and Division (left to right) (× and ÷)

AS –A= Addition  and S= Subtraction (left to right) (+ and -)

whereas the full form of BODMAS is – Brackets Order Division Multiplication Addition and Subtraction.

If h(t)=-20+11t and you wish to evaluate h(11):

h(11)=-20+11(11)

h(11)=-20+121

h(11)=101

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Answer:

-10 - 4i

Step-by-step explanation:

We can rewrite the equation as (by getting rid of parentheses):

-8 + 3i - 2 - 7i

Now, we can add/subtract the values:

(-8-2) + (-7i+3i)

= -10 - 4i

The given set of points {(-7, 20), (3, 5), (0, 5), (-2, 0), (6, -4), (-6, -9), (4, 4)} is a function since each x-value has a unique y-value.

To determine whether the given set of points is a function or not, we need to check if each input (x-value) corresponds to exactly one output (y-value).

Let's first list the x-values in the set: -7, 3, 0, -2, 6, and -6.

Now, we need to check if each of these x-values has a unique y-value. We can see that:

The point (-7, 20) has an x-value of -7 and a y-value of 20.

The point (3, 5) has an x-value of 3 and a y-value of 5.

The point (0, 5) has an x-value of 0 and a y-value of 5.

The point (-2, 0) has an x-value of -2 and a y-value of 0.

The point (6, -4) has an x-value of 6 and a y-value of -4.

The point (-6, -9) has an x-value of -6 and a y-value of -9.

The point (4, 4) has an x-value of 4 and a y-value of 4.

We can see that each of the x-values has a unique y-value. Therefore, this set of points is a function.

In fact, we can even represent this function using set-builder notation as:

{ (x, y) | x ∈ {-7, 3, 0, -2, 6, -6, 4}, y is the corresponding y-value for x }

or using a mapping notation as:

f = { (-7, 20), (3, 5), (0, 5), (-2, 0), (6, -4), (-6, -9), (4, 4) }

where f(x) is the corresponding y-value for x.

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We need to add (t - 2πr) units of rope.

We have,

Let's call the radius of the hula hoop "r" and the distance from the center of the hula hoop to the rope "d".

We want to find the length of the rope we need to add in order to create a circle with radius "d" that is tangent to the hula hoop.

The distance between the center of the hula hoop and the center of the tangent circle is (r + d), so the diameter of the tangent circle is

2(r + d), and the length of the circle is 2π(r + d).

We want to find the value of d that will make the circle just touch the person's toes, so the radius of the tangent circle is equal to the length of the person's toes, which we'll call t.

So we have the equation:

2π(r + d) = t

Solving for d.

d = (t/2π) - r

The amount of rope we need to add is:

2πd = 2π((t/2π) - r) = t - 2πr

Thus,

We need to add (t - 2πr) units of rope.

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The volume of the solid generated when the region bounded by y = 9x and y = 27x/x is revolved around the x-axis is given by V = 27lnx - 9x + c

To calculate this volume, we need to calculate the area of the cross-section of a shell at x.

The cross-section is found by taking the difference of the two curves, y = 9x and y = 27x/x, at that particular x in the form of a rectangle.

The height of the rectangle is y₂ - y₁ and the width is the interval dx. Therefore, the area of the cross-section is given by

A(x) = (y₂ - y₁)dx = [(27x/x - 9x)dx].

The volume of the solid is then given by the formula

=> V = ∫A(x)dx.

Substituting in the expression for A(x), we have

=>  V = ∫(27x/x - 9x)dx.

Integrating this expression, we get V = 27lnx - 9x + c, where c is an arbitrary constant.

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Answer:

918

Step-by-step explanation:

Answer:

A) 210 B) 0.18

Step-by-step explanation:

got it right

For converting fractions to decimals, we need to divide numerator with denominator,

So, the value of 51/16 as a decimal is equal to 3.1875.

In mathematics, the ratio of two integers is how a fraction is defined in mathematics.

The fraction indicates that it is the numerator value to denominator value ratio.

A decimal number is one in which the decimal point separates the whole number component from the decimal component.

From the question,

As we need to convert the given fractional value to decimal.

So, for determining the equivalent decimal value, we will simply divide the value given in the numerator to the value given in the denominator.

So, dividing 51 by 16

We will get it as:

51/16: 51 16 = 3.1875

As a result, 51/16 is equivalent to 3.1875 in decimal form.

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From the given information provided, the probability of event F given that event E has occurred is 0.5.

Conditional probability is probability of an event A occurring with given that event B has occurred. It is denoted as P(A|B) and is calculated as follows:

P(A|B) = P(A and B) / P(B)

To find P(F/E), we use the conditional probability formula:

P(F/E) = P(E and F) / P(E)

We are given that P(E and F) = 0.1 and P(E) = 0.2. Substituting the given values in the formula, we get:

P(F/E) = 0.1 / 0.2

Simplifying this expression, we get:

P(F/E) = 0.5

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Linda can choose any combination of three events that adds up to more than a kilometer but less than 1.5 kilometers

In order to find the best combination of events for Linda to sign up for to run a total of more than a kilometer but less than 1.5 kilometers, we must first determine the total distances of the individual events.

Depending on the events offered, Linda can choose three events that add up to more than a kilometer but less than 1.5 kilometers.

If Linda has the option of running the 100m, 200m, and 800m, she can satisfy her requirement of running more than a kilometer but less than 1.5 kilometers by choosing the 100m, 200m, and 800m.

This would add up to 1100m, which is slightly over a kilometer but below 1.5 kilometers.

Another option for Linda is to run the 100m, 400m, and 600m, which would add up to 1100m, once again satisfying her requirement.

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Rana has 1 and 5/12 cups of chocolate chips left. Answer: $\boxed{\text{one and five-twelfths cups}}$.

How to find?

To find out how many cups of chocolate chips Rana has left, we need to subtract the amount she used in the cookie recipe from the amount she bought.

First, we need to convert both mixed numbers to improper fractions, so we can subtract them.

Three and three-fourths cups can be written as:

3\frac{3}{4} = \frac{(3 \times 4) + 3}{4} = \frac{12 + 3}{4} = \frac{15}{4}

Two and one-third cups can be written as:

2\frac{1}{3} = \frac{(2 \times 3) + 1}{3} = \frac{7}{3}

Now, we can subtract:

\frac{15}{4} - \frac{7}{3} = \frac{45}{12} - \frac{28}{12} = \frac{17}{12}

Therefore, Rana has 1 and 5/12 cups of chocolate chips left. Answer: $\boxed{\text{one and five-twelfths cups}}$.

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Answer:

81°

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°.

The base of the 10 triangles make a straight line.  180/10 = 18°

The small angle along the base is 18°

180-18 = 162

The other two angles of the triangle must add up to 162. Since this is a isosceles triangle.  The other 2 angles have the same measurements.

162/2 = 81.  The measurement of the angle we are looking for is 81°

The density of air in lb/ft³ based on the conversion using the formula is 0.08 lb/ft³.

We know that the density of air is 1.29 grams per litre. Now, to perform the conversion, we need to find the relation between grams and pounds and litre and feet.

So, we know that 1 gram is equal to 0.0022 pound and 1 litre is equal to 0.0353 cubic foot.

Therefore, keeping these values in the actual formula for conversion.

Density of air = 1.29 × 0.0022/0.0353

Performing division and multiplication on Right Hand Side of the equation

Density of air = 0.08 lb/ft³

Therefore, the density of air is 0.08 lb/ft³.

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Labro overlooks the Rieti Valley, which was frequently visited by which saint: Francis of Assisi.

Francis of Assisi spent a great deal of time in the Rieti Valley, where he established four sanctuaries that are stopping points for pilgrims following the Cammino di Francesco pathway. Francis is also said to have made the first live nativity scene during a visit to the valley in 1223.

Francis of Assisi, one of the Catholic Church's most loved and darling saints. St. Francis is known for his ministry to poor people and oppressed, his consideration for nature and animals, and establishing the Franciscan request.

His life and message were uncompromising and simple: voracity causes suffering for both the victims and the perpetrators.

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For the given trapezoid,

a) Length of AB is found by

   b² = 3² + 4²

b) Perimeter = 30 units.

What is a trapezoid?

A trapezoid is a quadrilateral with at least one pair of parallel sides. A polygon with only one set of parallel sides is called a trapezoid. The parallel bases of a trapezoid are another name for these parallel sides. Trapezoids have two additional sides that are not parallel and are referred to as their legs. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one.

The trapezoid is given in the figure below.

a) In this trapezoid, we can draw a perpendicular from B to the line AD. Let this point be E.

So the triangle ABE will be a right triangle.

Now the hypotensue will be AB.

Using Pythagoras' theorem, we can write the following relation.

AB² = AE² + BE²

From the graph of the trapezoid, we can get

AE= 4 -1 = 3 units

BE = 7 - 3 = 4 units

So if AB =b

The length of AB can be found using the,

b² = 3² + 4²

b = 5

Therefore the given statement is false.

b) The perimeter of trapezoid  = perimeter of triangle ABE + periemeter of rectangle BCDE

                                      = 5+4+3 +  2* (5+4)

                                      = 12 + 18 = 30 units.

Therefore for the given trapezoid, the perimeter is 30 units.

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The total number of possible selections is 18,643,560. This is calculated using the combination formula nCr.

In nCr, n is the total number of objects (50) and r is the number of objects to be selected (7). This is equal to 50C7, which can be written as

To explain this further, the combination formula is used to find the total number of combinations when selecting a certain number of objects from a larger set. In this case, we are selecting 7 numbers from a set of 50, so the total number of combinations is 18,643,560.

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