‘y’ is inversely proportion to the square of x and x = 4 when y = 2. Find the value of x when

y = 4.

Answers

Answer 1

Answer:

x = 2√2

Step-by-step explanation:

If is inversely proportional to x², then:

[tex]y \propto \dfrac{1}{x^2} \implies y=\dfrac{k}{x^2} \quad \textsf{(for some constant k)}[/tex]

Given:

x = 4 when y = 2

Substitute the given values into the found equation and solve for k:

[tex]\implies 2=\dfrac{k}{4^2}[/tex]

[tex]\implies 2=\dfrac{k}{16}[/tex]

[tex]\implies k=32[/tex]

Therefore:

[tex]y=\dfrac{32}{x^2}[/tex]

To find the value of x when y = 4, substitute y = 4 into the found equation and solve for x:

[tex]\implies 4=\dfrac{32}{x^2}[/tex]

[tex]\implies x^2=\dfrac{32}{4}[/tex]

[tex]\implies x^2=8[/tex]

[tex]\implies x=\sqrt{8}[/tex]

[tex]\implies x=\sqrt{4 \cdot 2}[/tex]

[tex]\implies x=\sqrt{4} \sqrt{2}[/tex]

[tex]\implies x=2\sqrt{2}[/tex]


Related Questions

R =x^2/y

x=3.8x10^5
y=5.9x10^4

Work out the value of R

Give your answer in standard form to an appropriate degree of accuracy

Answers

Answer:

  2.4×10⁶

  2,400,000 in the US

Step-by-step explanation:

You want the value of the expression x²/y rounded to an appropriate precision when x=3.8×10⁵ and y=5.9×10⁴.

Calculator

The attached calculator display shows the result to 2 significant figures, the appropriate for computation using values that have 2 significant figures.

  x²/y ≈ 2.4×10⁶

In the US, "standard form" would be the usual form in which numbers are written:

  x²/y ≈ 2,400,000

__

Additional comment

If you're working this out with pencil and paper, the value you want to compute is ...

  (3.8×10⁵)²/(5.9×10⁴) = (3.8²/5.9)×10¹⁰⁻⁴ = (144.4/59)×10⁶ ≈ 2.4×10⁶

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In triangle JFR , m angle J=35 and the measure of the exterior angle at F is 115. Which is the longest side of the triangle ?

Answers

Answer:

JF

Step-by-step explanation:

There is a rule where if the angle in a triangle is facing the smallest side, that angle is the smallest of the other 2 angles in the triangle, and vice versa. If the angle in a triangle is facing the biggest side, well, you can see where this is going(the angle is the biggest)

So if we look at this beautiful drawing that I drew :

Angle <JFR is 180 - 115, which is 65.

And the last angle is 180 - 65 - 35 = 80

Angle R is the biggest angle.

So the side that is facing R is the longest side, which is JF

in this problems you will consider paths on the integer grid that start at (0,0) in which every step increments one coordinate by 1 and leaves the other unchanged. a) (4 points) how many such paths are there from (0,0) to (85, 65)?

Answers

The number of such paths from (0,0) to (85,65) is C(150, 85).

What is co-ordinate ?

In mathematics, a coordinate is a pair of numerical values that represent a specific location on a two-dimensional surface, such as a graph, a map, or an image. The two values are usually referred to as the x-coordinate and the y-coordinate.

A path from (0,0) to (85,65) on the integer grid that starts at (0,0) and increments one coordinate by 1 and leaves the other unchanged at each step is equivalent to a sequence of 85 "right" steps and 65 "up" steps. The number of ways to arrange these steps is given by the binomial coefficient C(85+65, 85), which is the number of ways to choose 85 items (the "right" steps) from a set of 150 items (85 "right" and 65 "up" steps) without replacement and where order matters.

The general formula for the binomial coefficient is C(n, k) = n! / (k!(n-k)!), where n! is the factorial of n, i.e., the product of all integers from 1 to n, and k! is the factorial of k. Using this formula, we have:

C(150, 85) = 150! / (85!(150-85)!) = (150149148*...6665) / (858483*...1) = (150149148...6665) / (85!)

So, the number of such paths from (0,0) to (85,65) is C(150, 85).

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Nathan can swim 20.8m in 10.4 minutes. how many meters will she swim in 1 minute

Answers

Answer: 2 meters

Step-by-step explanation:

[tex]\frac{20.8 \text{ m}}{10.4 \text{ min}}=2[/tex]

Answer: 2 Meters

Step-by-step explanation: 20.8 divided by 10.4 is 2

Workers employed in a large service industry have an average wage of $7. 00 per hour with a standard deviation of $. 50. The industry has 64 workers of a certain ethnic group. These workers have an average wage of $6. 90 per hour. Is it reasonable to assume that the wage rate of the ethnic group is equivalent to that of a random sample of workers from those employed in the service industry

Answers

There's still a 5.48% chance that you'd find that the average of their 64 wages is $6.90 or less so to assume that the wage rate of the ethnic group is equivalent to that of a random sample of workers from those employed in the service industry is not valid.

What is a random normal distribution?A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution.It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution is depicted graphically as a "bell curve."

If the true mean of this group's wages is also $7.00 and the standard deviation is $0.50, then the average of a sample of n workers has the same mean and a standard deviation of (pop. stan. dev. / √n).

In this case, the sample average is a random variable with a mean of $7.00 and a standard deviation of $0.50/√64 = 0.0625.

If a random variable has a normal distribution with a mean $7.00 and st. dev. $0.0625, then the probability of observing it as $6.90 or less is:

P[sample mean < 6.90] = P[z < (6.90 - 7.00)/0.0625] = P[z < -1.6] = 0.0548.

In other words, it could be the case that there's no discrimination against ethnic workers, and there's still a 5.48% chance that you'd find that the average of their 64 wages is $6.90 or less.

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Y=9 find the ordered pair

Answers

Answer:

(0, 9)

Step-by-step explanation:

y = 9 is the same as (0, 9)

A kangaroo leaps a total distance of 3 feet with a maximum height of 1 foot. another kangaroo is originally 5 feet in front of the first kangaroo and jumps the same distance, but 6 inches higher. write the equation representing the path of each kangaroo.
a. kangaroo 1: y=-(x-3)^2+1 ; kangaroo 2: y=-(x-5)^2+1.5
b. kangaroo 1: y=-(x-1.5)^2+1 ; kangaroo 2: y=-(x-6.5)^2+1.5
c. kangaroo 1: y=-4/9(x-3)^2+1 ; kangaroo 2: y=-2/3(x-5)^2+1.5
d. kangaroo 1: y=-4/9(x-1.5)^2+1 ; kangaroo 2: y=-2/3(x-6.5)^2+1.5

Answers

On solving the provided question, we can say that the equation representing the path of each kangaroo. x = 4ft and y = 11ft

What is equation?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

equation

let X be kangaroo 1

and Y be kangaroo 2.

So the equation

X = 3ft + 1ft

while

Y = 5ft + 1ft +.5ft.

and now,

x = 4ft and y = 11ft

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At the beginning of spring, Anand planted a small sunflower in his backyard. When it
was first planted, the sunflower was 10 inches tall. The sunflower then began to grow
at a rate of 2 inches per week. How tall would the sunflower be after 9 weeks? How
tall would the sunflower be after w weeks?

Answers

Answer:

The sunflower is 28 inches tall after 9 weeks

The sunflower is 2w + 10 tall after w weeks

Step-by-step explanation:

We know

The sunflower was 10 inches tall, growing at a rate of 2 inches per week. Let's T represent the tall of the sunflower; we have the equation

t = 2w + 10

How tall would the sunflower be after 9 weeks?

t = 2(9) + 10

t = 28 inches

How tall would the sunflower be after w weeks?

t = 2(w) + 10

t = 2w + 10

So,

The sunflower is 28 inches tall after 9 weeks

The sunflower is 2w + 10 tall after w weeks

write the linear equation in slopw-intercept form from the given description. The cost c, of instant camera film is $9.25 per box, x, plus $4.50 in shippping

Answers

The linear equation in slope-intercept form from the given description is

c = 9.25x + 4.50.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

The standard form of slope-intercept form:

y = mx + b,

where m is the slope and b is the y-intercept.

The cost c, of instant camera film is $9.25 per box, x, plus $4.50 in shipping.

That means,

c = 9.25x + 4.50

Therefore, the linear equation is c = 9.25x + 4.50.

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Please help me and explain thank u so much

Answers

Answer:

Step-by-step explanation: if 9p to the 3rd power is what I think it means the answer is 1458 if the 9 just means 9 then the answer is 18

he chart shows specific heat data for four substances.a chart with 2 columns and 5 rows. the first column is labeled substance with entries w, x, y, z. the second column is labeled specific heat with entries 2.542, .900, 3.209, 1.657.which conclusion is best supported by the data?

Answers

The specific heat shows that Substance Y has more atoms per gram than substance W.

Specific heat:

Specific heat is a property of a substance that describes how much heat energy is required to raise the temperature of a certain amount of that substance by one degree. It is typically measured in units of joules per gram per degree Celsius (J/g°C).

Different substances have different specific heats. For example, water has a relatively high specific heat of 4.18 J/g°C, which means that it takes a lot of heat energy to raise the temperature of water by one degree. This is why water is often used as a coolant or in air conditioning systems, as it can absorb a large amount of heat energy without experiencing a significant temperature change.

Therefore, the specific heat shows that Substance Y has more atoms per gram than substance W.

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how many ways are there to distribute 15 distinguishable objects into five distinguishable boxes so that the boxes have one, two, three, four, and five objects in them, respectively.

Answers

There are 37,837,800 ways to distribute 15 distinguishable objects into five distinguishable boxes so that the boxes have one, two, three, four, and five objects in them, respectively.

We are trying to find the number of ways to distribute 15 distinguishable objects into five distinguishable boxes so that each box has 1, 2, 3, 4, and 5 objects in them, respectively.

We can use the formula for combination to solve this problem. The number of ways to distribute n distinct objects into r distinct boxes where the first box has k1 objects, the second box has k2 objects, ..., and the last box has kr objects is:

n! / (k1! * k2! * ... * kr!)

Where n! is the factorial of n, k1! is the factorial of k1 and so on.

In this case, we have 15 distinct objects and 5 distinct boxes where the first box has 1 object, the second box has 2 objects, the third box has 3 objects, the fourth box has 4 objects, and the fifth box has 5 objects.

So, the number of ways to distribute 15 distinguishable objects into five distinguishable boxes so that the boxes have one, two, three, four, and five objects in them, respectively is:

15! / (1! * 2! * 3! * 4! * 5!) = 15! / (1×2×6×24×120)

= 37,837,800

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A population of 32 goats is released into a wildlite region. The population increases by 71% each year for 2 years. How many goats are there after 2 years?
O 16
O 93
O 45
O 174

Answers

Answer: 174

Step-by-step explanation: In the first year, the population of 32 goats increases by 71/10032 = 22.72 goats

So the population after 1 year would be 32+22.72 = 54.72 goats

In the second year, the population of 54.72 goats increases by 71/10054.72 = 38.9792 goats

So the population after 2 years would be 54.72+38.9792 = 93.69 goats

It's important to note that the answer provided (93) is the population after one year, not two years. The population after two years would be 174 goats.


Is this triangle a right triangle? Explain how you know. Show your work and/or support your claim using complete mathematically precise sentences.

Answers

Answer:

A triangle is a right angle triangle if and only if the Pythagorean theorem holds true for the sides of the triangle. The Pythagorean theorem states that in a right angle triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we can call the side opposite the right angle the hypotenuse, and the other two sides the legs. According to the information given, the hypotenuse is AC, and the legs are AB and BC.

So, we can use the Pythagorean theorem to check if this triangle is a right angle triangle:

AC^2 = AB^2 + BC^2

26^2 = 10^2 + 25^2

676 = 100 + 625

676 = 725

This equation does not hold true, so the triangle is not a right angle triangle.

a room classified as a group a-2 occupancy has dimensions of 60 feet by 80 feet and is in a sprinklered building. what is the minimum required separation distance

Answers

A room classified as a group a-2 occupancy has dimensions of 60 feet by 80 feet and is in a sprinklered building. the minimum required separation distance from the nearest exit door is  r is 50 feet

This is determined by the occupancy type of the room, which is classified as a Group A-2 occupancy. According to the International Building Code, Group A-2 occupancies are those that involve assembly uses with an occupant load of 50 or more and with fixed seating. Therefore, the minimum required separation distance from the nearest exit door is 50 feet.  

To calculate this, I referred to the International Building Code (IBC) Chapter 10, which outlines the requirements for means of egress. Section 1020.1 of the IBC states that the required separation distance between an exit door and the nearest obstruction must be at least half the length of the maximum overall diagonal dimension of the room. Since the room has dimensions of 60 feet by 80 feet, the maximum overall diagonal dimension is 100 feet.

Therefore, half of this distance is 50 feet, which is the minimum required separation distance from the nearest exit door.   In addition, the IBC also requires that Group A-2 occupancies be sprinkled, which the room in question is. This means that there may be additional requirements for separation distances for the egress system depending on the specific type of sprinkler system being used.

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a room classified as a group a-2 occupancy has dimensions of 60 feet by 80 feet and is in a sprinklered building. what is the minimum required separation distance from the nearest exit door?

three students (a, b, and c) are asked to determine the volume of a sample of ethanol. each student measures the volume three times with a graduated cylinder. the results in milliliters are: a (87.1 , 88.2, 87.6); b (86.9, 87.1 , 87.2); c (87.6, 87.8, 87.9). the true volume is 87.0 ml. which student has the best precision?

Answers

The values in b are compared with the true volume. And we conclude that b is precise and accurate.

Accuracy determines how closely measured values match the actual value. The degree to which two measured values are inside a certain range, or how closely they agree, is called precision.

First calculate the mean of a, b, and c. We get, the mean of a is 87.63, the mean of b is 87.06, and the mean of c is 87.77.

From the values in "a", we can tell there is no good agreement between the given values, and just one (87.1) value is near to the true value. So a is neither precise nor accurate.

From the values in "b", we can tell these given values are reasonably close to the true value and exhibit good agreement. So b is precise and accurate.

From the values in "c", we can tell there is a considerable agreement between the given values but they are not very close to the true value. So c is precise but not accurate.

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help me pls thank you!

Answers

Answer: Information given below…

Step-by-step explanation:

Answer:

QR =40

Step-by-step explanation:

25÷5=5

35÷7=5

They are similar so we can conclude that QPR is 5 times bigger than ABC

Therefore

8^5= 40

And that's the answer

Write an euation in slope-intercept form of a line with a slope of 1/2 and a y-intercept of 5.

Answers

Hi!

y = m x + c is the slope intercept form of a line whose slope is m and

y intercept is c. Hence

y=x/2+5

LCM

y=x+10/2

2y=x+10

x-2y+10=o

Required equation of the line is x - 2 y +10 = 0

Can anyone help with me this would like a explaination to

Answers

The length of the side XY for the given triangles is 3 units.

What are congruent triangles?

Congruent figures and shapes are those that may be reversed or rearranged such that they match up with other figures and shapes. These shapes can be produced by mirroring these forms.

A closed polygon known as a triangle has three line segments that cross at each of its three angles.

Given two triangles,

ΔHIJ and ΔXYZ

and both are congruent,

ΔHIJ ≅ ΔXYZ

for congruent triangles the measure of sides and angles are equal,

we find that,

YZ ║ IJ, HI ║ XY and XZ ║ HJ

so YZ = IH = 4 units

HI = XY = 3 units

XZ = HJ = 5 units

Hence the length of XY is  3 units.

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while playing a game, amy defeated 6 enemies with each enemy defeated earning her 2511 points. if she traded all her points for 3 extra lives, how many points is it per life

Answers

Therefore , the solution of the given problem of unitary method comes out to be Points equal 5020 for each life.

What is meant by unitary method?

The unitary strategy is a way of solving problems that involves first figuring out how much of a single model there is, then multiplying that value to achieve the solution. Simply described, the unit technique is used to retrieve a single program value from a supplied many. As an example, 40 pens cost 400 rupees ($1.01), or Rs. It's possible that the procedure utilized to do this will be regulated. a single country. Anything has a distinguishing feature. Its capable of integrating and reciprocal are equal (mathematics, algebra).

Here,

There are 5 enemies.

Each adversary is worth 3012 points.

Total points: 15060 (or 3012 multiplied by 5)

There are 3 lives left.

Points for every life equal?

Points per life are calculated as follows: total points / quantity of life = 15060/3

Points equal 5020 for each life.

Therefore , the solution of the given problem of unitary method comes out to be Points equal 5020 for each life.

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assiment find the value of x

Answers

Answer:

x = 9

Step-by-step explanation:

the intersecting secants theorem states that IH * IS = IF * IT

here, x = IH

x * 16 = 8 * (10+8)

16x  = 144

divide both sides by 16 to get x

x = 9

[tex]if \sqrt{x}2x+5=5 then the value ofx is[/tex]

Answers

The compound proposition defined by implication is: If 2 · x + 5 = 5, then the value of x is 0.

How to complete a proposition

Propositions are logical constructions that contains a truth value. Proposition can be simple or composite, that is, the result of combination between simple propositions by use of operators. In this case we find a composite proposition formed by two simple propositions and a logic operator (an implication):

α ⇒ β

Where:

α - Antecedentβ - Consequent⇒ - Implication

If the antecedent is true, then the consequent must be true. If 2 · x + 5 = 5, then we must clear x within the equation to determine a value such as composite proposition becomes true:

2 · x + 5 = 5

2 · x = 0

x = 0

Remark

The statement presents several mistakes and is incomplete. Correct form is presented below:

Complete this proposition:

If 2 · x + 5 = 5, then the value of x is ___________.

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. In one paragraph explain in your own words why is parallel line so important in our everyday lives.

Answers

The reason why parallel line is so important in our everyday lives is that help us to understand the path of the objects and sides of the various shapes.

Why is studying parallel lines important?

Because they allow us to construct congruent angle pair relationships, parallel lines and transversals are crucial to the study of geometry.

Understanding the movement of objects and the sides of various forms is made easier with the aid of parallel lines. For instance, the opposing sides of parallelograms, squares, and rectangles are parallel to one another. The parallel line is frequently employed in the building sector.

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Segment MN has endpoints on a sphere. If segment MN does not pass through the center of the sphere, the most specific name for segment MN is BLANK ( options : chord, diameter, radius)
If segment MN passes through the center, the most specific name for segment MN is BLANK ( options : chord, diameter, radius)
Segment MN lies on a plane that intersects the center of a sphere. The intersection between the sphere and the plane is the BLANK ( options : diameter, great circle, radius, tangent)

Please help me out! Math 3 Q4

Answers

The intersection between the sphere and the plane is the is diameter.

What is a sphere?

A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the centre of the sphere, and r is the sphere's radius.

Given that, segment MN has endpoints on a sphere. If segment MN does not pass through the center of the sphere.

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc.

So, the most specific name for segment MN is chord.

Here, segment MN lies on a plane that intersects the center of a sphere.

A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

Therefore, the intersection between the sphere and the plane is the is diameter.

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what is the common ratio of the geometric system 24,6,1.5,0.75

Answers

Answer:

0.25 or 1/4

Step-by-step explanation:

To find the common ration in a geometric sequence, divide the second number by the first number.  In this case, divide 6 by 24.

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if we count by $3\text{'s}$ starting with $1,$ the following sequence is obtained: $1,$ $4,$ $7,$ $10,$ $\dots.$ what is the $100^\text{th}$ number in the sequence?

Answers

The 100th number of the sequence 1, 4, 7, 10..., is 298.

The given series 1, 4, 7, 10..., is an AP.

Arithmetic Progression (AP) is a sequence of numerals in order, in which the difference between any two consecutive digits is a constant value. A progression is a type of sequence for which it is possible to get a formula for the nth term.  

The Arithmetic Progression is the most generally used sequence in maths with easy-to-understand formulas. The nth-term formula of the AP (arithmetic progression) is

aₙ = a₁+ d(n-1)

Where

n = number of terms

a = first term

d = common difference

Here, n = 100, d = 3 and a₁ = 1

[tex]a_{100}[/tex] = 1 + 3(100-1)

[tex]a_{100}[/tex] = 1 + 3(99)

[tex]a_{100}[/tex] = 1 + 297

[tex]a_{100}[/tex] = 298

--The given question is incorrect, the correct question is

''If we count by 3's starting with 1, the following sequence is obtained: 1, 4, 7, 10..., what is the 100th number in this sequence?"--

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the population of the united states is aging. at right is the stemplot of the percentage of residents aged 65 and older in each of the 50 states, according to the 2010 census. there are three outliers: alaska has the lowest, utah has the second lowest, and florida has the highest. what is the percentage for utah?

Answers

The percentage for Utah is 9.0%.

The collection of data is gathered and chosen from a statistical population with the use of some prescribed techniques in both statistics and quantitative methodology. Data sets may be divided into two categories: sample and population.

All the components of the data set are included in the population, which also contains quantifiable qualities like mean and standard deviation.

A sample is made up of one or more observations that are taken from the population, and a statistic is what makes a sample quantifiable. The act of sampling is the selection of a sample from a population.

Thus, The percentage for Utah is 9.0%.

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1. What is the shortest distance between points A and B on the cylinder shown, if we already know that the height of the cylinder is 12 inches & the circumference of the base is 18 inches?​

Answers

The shortest distance between points A and B on the cylinder is 6 inches.

What is the shortest distance between points A and B on the cylinder?

This problem uses the Pythagorean Theorem to calculate the shortest distance between points A and B. The Pythagorean Theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In this problem, the hypotenuse is the shortest distance between points A and B and the other two sides are the radius and height of the cylinder.

Step 1: Calculate the radius of the cylinder by dividing the circumference of the base (18 inches) by 2π (3.14159):

r = 18 inches / 2π = 2.827 inches

Step 2: Calculate the height (h) of the cylinder by subtracting the radius from the total height (12 inches):

h = 12 inches - 2.827 inches = 9.173 inches

Step 3: Calculate the shortest distance between points A and B by multiplying the height (h) by 2:

d = 9.173 inches x 2 = 18.346 inches

Step 4: Round the result to the nearest whole number:

d = 18.346 inches ≈ 6 inches

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Boon Li spent 3/4 of his money on a calculator and 1/3 of the remainder on a torch. What fraction of his money did Boon Li spend altogether?

Answers

Answer:

Boon Li spent 7/12 of his money altogether.

What are the 3 types of slope formulas?

Answers

The slope formula, when two points are on a line, the Slope-intercept formula, Point-slope formula, are the 3 types of slope formulas.

The slope of a line is defined as the change in the y coordinates with respect to the change in the x coordinate of that line.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of the line in the coordinate plane.

Slope formula:  m = (y₂ - y₁) / (x₂ - x₁), when two points on a line,

Slope-intercept formula: y = mx + b, the slope, and y-intercept of a line

Point-slope formula: y - y1 = m(x - x1), the slope of a line and a point on the line.

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Other Questions
When is an object acceleration steve wants to download a selection of new music. how many ways can steve select three rock songs, five alternative songs, and six rap songs from a list of five rock songs, six alternative songs, and nine rap songs? In Bash, which of the following commands can you use to view the contents of a document. Check all that apply.opencatlessdog a primary health care provider prescribes an intravenous (iv) solution of 5% dextrose and half-normal saline (0.45%) with 40 meq of potassium chloride for a child with hypotonic dehydration. the nurse performs which priority assessment before administering this iv prescription? For what values of the variable does each of the following expressions make sense? We call the set of this values the domain of the expression. sqaure root of -(6-x) in focusing on urban social disorganization, the chicago school emphasized all but one of the following as inherent characteristics of urban life. which was not one of their foci? how did william penn's religious beliefs impact the founding of pennsylvania? responses athey attracted a large number of non-christian settlers to pennsylvania.they attracted a large number of non-christian settlers to pennsylvania. bthey caused pennsylvania to become a mostly roman catholic colony.they caused pennsylvania to become a mostly roman catholic colony. cthey led to the establishment of pennsylvania as a colony for quakers.they led to the establishment of pennsylvania as a colony for quakers. dthey made pennsylvania the strictest religious colony in america. Find the non-zero value of $c$ for which there is exactly one positive value of $b$ for which there is one solution to the equation $x^2 + \left(b + \frac 1b\right)x + c = 0$ what is the most accurate statement about workplace teams? a. decisions reached by teams usually get less buy-in than decisions reached individually. b. team members experience greater individual risk. c. effective teams often take longer to solve problems. d. team members are less resistant to change if they are part of the decision making. If y represents yearly salary, w represents weekly salary, b represents biweekly salary, and m represents monthly salary, which of the following statements are true? Select all that apply.A. b=y26B. y=m12C. y=52wD. 12m=yE. 26y=bF. y=52w Which sentence is correct?O The King James bible describes both heaven and hell.O The King James Bible describes both heaven and hell.O The King James Bible describes both Heaven and Hell.O The King James bible describes both Heaven and Hell. Autorhythmicity DefinitionAutorhythmicity is referred to as a process in which cardiac muscle cells produces an action potential that helps in the continuous and rhythmic beating of the heart without any external stimulus. What does "But now we are a mob. Man does not stand in awe of man, nor is his genius admonished to stay at home, to put itself in communication with the internal ocean, but it goes abroad to beg a cup of water of the urns of other men. We must go alone. I like the silent church before the service begins, better than any preaching. How far off, how cool, how chaste the persons look, begirt each one with a precinct or sanctuary! So let us always sit. Why should we assume the faults of our friend, or wife, or father, or child, because they sit around our hearth, or are said to have the same blood? All men have my blood, and I have all men's. Not for that will I adopt their petulance or folly, even to the extent of being ashamed of it. But your isolation must not be mechanical, but spiritual, that is, must be elevation. At times the whole world seems to be in conspiracy to importune you with emphatic trifles. Friend, client, child, sickness, fear, want, charity, all knock at once at thy closet door, and say, -- `Come out unto us.' But keep thy state; come not into their confusion. The power men possess to annoy me, I give them by a weak curiosity. No man can come near me but through my act. "What we love that we have, but by desire we bereave ourselves of the love." mean? (para 28). structures consisting of four fused rings of carbon atoms with one or more polar hydroxyl groups attached to the ring structure are called What states are considered to be in the Southwest region of the US?ACalifornia, Arizona, Nevada, HawaiiBMontana, Idaho, Colorado, NevadaCArkansas, Louisiana, Mississippi, Tennessess, Georgia, FloridaDArizona, New Mexico, Texas, Oklahoma y=x, y=x^2, y=x^3, y=|x,| y=1/x, y=x, y=e^x, y=1/1+e^-x, y=ln(x), y=floor(x), y=sinx, y=cosx12. three functions that are bounded above Shoring can only be used with:A. Stable rock.B. Cohesive soil.C. Fine, sandy soil.D. Non-cohesive soil. a smartphone is an internet-capable phone that usually also includes a calendar, an address book, a calculator, a notepad, games, browser, and numerous other apps. a. true b. false Three compounds contain the elements sulfur, S, and fluorine, F. How does the following datasupport the law of multiple proportions?Compound A: 1.188 g F for every 1.000 g SCompound B: 2.375 g F for every 1.000 g SCompound C: 3.563 g F for every 1.000 g S what could cause some inaccuracies if you rolled the ball down the ramp 5 separate times, starting at the same location without adjusting the ramp?