Cindy left Hillview Town at 4.20 pm, travelling towards Beach Town which was 600 km away at an average speed of 108 km/h. Claudia left Hillview Town at 5 pm, travelling at an average speed of 124 km/h.
(a) How long did Claudia take to catch up with Cindy?
(b) How far away were they from Beach Town when Claudia caught up with Cindy?​

Answers

Answer 1

Answer:

(a) To find out how long it takes for Claudia to catch up with Cindy, we can first calculate the head start that Cindy had before Claudia started. Cindy had a head start of:

d = rt = 108 km/h x 1 h 40 min = 180 km

where d is the distance that Cindy traveled during the 1 hour 40 minutes (1.67 hours) between her departure and Claudia's departure, r is Cindy's speed, and t is the time she traveled.

When Claudia started, both Cindy and Claudia were 180 km away from Beach Town. The distance between them decreases at a rate equal to the difference in their speeds, which is:

124 km/h - 108 km/h = 16 km/h

So Claudia catches up at a rate of 16 km/h. The time it takes for Claudia to catch up is then:

t = d / r = 180 km / 16 km/h = 11.25 hours

However, we need to subtract the 1 hour 40 minutes (1.67 hours) that Cindy traveled before Claudia started to find the actual time Claudia took to catch up with Cindy:

t = 11.25 hours - 1.67 hours = 9.58 hours

Therefore, Claudia took about 9 hours and 35 minutes (0.58 x 60 minutes) to catch up with Cindy.

(b) When Claudia catches up with Cindy, they are both the same distance away from Beach Town. Cindy has already traveled 180 km when Claudia catches up, so the distance they are from Beach Town is:

600 km - 180 km = 420 km

Therefore, they were 420 km away from Beach Town when Claudia caught up with Cindy.


Related Questions

Find an equation of the tangent plane to the given parametric surface, x=u+v, y=5u2,z=u−v, at the point (2,5,0)

Answers

To find the equation of the tangent plane to the parametric surface, we need to find the partial derivatives of x, y, and z with respect to u and v, evaluate them at the point (u, v) = (2, 1), and use them to construct the equation of the tangent plane.

The partial derivatives of x, y, and z with respect to u and v are:

∂x/∂u = 1, ∂x/∂v = 1

∂y/∂u = 10u, ∂y/∂v = 0

∂z/∂u = 1, ∂z/∂v = -1

Evaluating these partial derivatives at (u, v) = (2, 1), we get:

∂x/∂u = 1, ∂x/∂v = 1

∂y/∂u = 20, ∂y/∂v = 0

∂z/∂u = 1, ∂z/∂v = -1

So the normal vector to the tangent plane is:

N = <1, 20, 1> × <1, 0, -1> = <-20, 0, -20>

This normal vector is perpendicular to the tangent plane, so the equation of the tangent plane can be written as:

-20(x - 2) + 0(y - 5) - 20(z - 0) = 0

Simplifying this equation, we get:

-20x + 20z = -40

Dividing both sides by -20, we get:

x - z = 2

Therefore, the equation of the tangent plane to the given parametric surface at the point (2, 5, 0) is x - z = 2.

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how many milligrams are in milliliters

Answers

The density of water is 1 gram per milliliter, which means that 1 milliliter of water weighs 1000 milligrams (1 gram).

Milligrams (mg) and milliliters (ml) are two different units of measurement used for different purposes. Milligrams are used to measure mass or weight, while milliliters are used to measure volume or capacity.

The conversion between milligrams and milliliters depends on the density of the substance being measured. The density is a measure of the amount of mass per unit of volume.

In general, the conversion between milligrams and milliliters is not straightforward and requires knowing the density of the substance being measured. However, for liquids with a density of approximately 1 gram per milliliter, 1 milliliter is equivalent to 1000 milligrams.

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what is the volume of the compisite figure? PLEASE HELP

Answers

The volume of the composite figure would be 120 m³.

What is algebraic expression?

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is the composite figure as shown in the image.

We can write the volume of the image as -

V = {6 x 5 x 2} + {1/2 x 5 x 4 x 6}

V = {60 + 60}

V = 120 m³

Therefore, the volume of the composite figure would be 120 m³.

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what is 1 oz in tbsp

Answers

There are 2 tablespoons in 1 fluid ounce. This conversion is often used in cooking and baking recipes, where ingredients are measured in ounces or tablespoons.

Fluid ounces and tablespoons are both units of volume used to measure liquids in cooking and baking recipes. One fluid ounce is equal to 29.5735 milliliters or approximately 2 tablespoons, which is equivalent to 6 teaspoons. Therefore, there are 2 tablespoons in 1 fluid ounce.

This conversion is important to know when following recipes that call for ingredients in fluid ounces or tablespoons. It allows for accurate measurement of ingredients, which is crucial for successful cooking and baking. Other common units of volume used in the kitchen include teaspoons, cups, and quarts, among others.

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a discrete probability table shows the number of links, x, followed by visitors to a website. find the mean and the standard deviation of the probability distribution using a ti-83, ti-83 plus, or ti-84 graphing calculator. round the mean and standard deviation to two decimal places.

Answers

The mean of the discrete probability is 3.57 and the standard deviation of the discrete probability is 1.78.

What is discrete probability?

The outcomes of events that can be counted or are finite are included in a discrete probability distribution.

Contrast this with continuous distributions, where results can occur anywhere along a continuum.

The binomial, Poisson, and Bernoulli distributions are typical examples of discrete distributions.

Data tests of "counts" or "how many instances" an incident occurs are frequently used in these distributions.

Discrete distributions are utilized in finance to price options and predict recessions or market shocks.

Using the graphing calculator, the mean and standard deviation of the discrete probability is calculated as follows.

Hence, the mean of the discrete probability is 3.57 and the standard deviation of the discrete probability is 1.78.

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STUVWXYZ is a cuboid. M and N are the mid-points of
ST and WZ respectively.
Find angle
a SYW
b TNX
c ZMY

Answers

MN = 17.09 cm

NMV = 16.31°


What is a Cuboid?

A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. Cuboid is short for "like a cube." A cuboid is similar to a cube in that a cuboid can become a cube by varying the lengths of the edges or the angles between the faces.

MV = 1/2 VS = 6cm (midpoint)

NV= 1/2YV = 5cm (midpoint)

MV = [tex]\sqrt{MV^2 + UV^2} = \sqrt{6^2 + 16^2} = 17.09cm[/tex]

MN = [tex]\sqrt{MU^2 + NU^2} = \sqrt{6^2 + 16^2 + 5^2} = 17.80cm[/tex]

tanNMV= 5/17.09

= 16.31°

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6x^2-5x-4 is equivalent to:
(1) (6x-1)(x+4)
(2) (3x-1)(2x-4)
(3) (x-1)(6x-4)
(4) (2x+1)(3x-4)

Answers

Step-by-step explanation:

What is the electric potential at the centre of square of side 1 m ? the changes 1 x 10^-8c , - 2 x 10^-8 c, 3 x 10^-8 c and 2 x 10^-8 c are placed at the corners

It is equivalent to answer number 2

the binomial probability distribution is a ​ __________ probability distribution that describes probabilities for experiments in which there are two​ __________ outcomes.

Answers

The binomial probability distribution is a discrete probability distribution that describes the probabilities of two independent outcomes in an experiment. A Poisson probability distribution is a discrete distribution whereby the stochastic process x makes a difference the number of occasions that an event occurs in a given interval.

Is the result of such a laboratory activity a probability distribution?

A probability distribution consists of a table or an equation that associates each output of a random experiment with the likelihood of its event occurring. Consider the following simple experiment: we toss a coin twice. The experiment could result in the head count being equal in 2 different coin flips.

What are the two binomial distribution outcomes?

Binary Distribution

Each trial yields one of two outcomes: success or failure. The success probability, denoted by p, remains constant from trial to trial. The n trials are autonomous.

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I NEED HELP W THIS QUESTION PLS BE FASTT

Answers

The area of the figure composed of the square and four semicircles is approximately 242.4 square units.

Describe Semicircle?

A semicircle is a two-dimensional geometric shape that is half of a circle. It is formed by drawing a diameter of a circle and then drawing the arc that connects the two endpoints of the diameter. The diameter divides the circle into two equal parts, each of which is a semicircle.

A semicircle has several important properties, including:

It has one straight side, which is the diameter of the circle.

The other side is curved, and it is a half-circle.

The radius of the semicircle is equal to half the diameter of the circle.

The circumference of a semicircle is half the circumference of the circle.

The area of a semicircle is half the area of the circle.

Semicircles are used in many applications of geometry and trigonometry, including in the study of angles, arcs, and circles. They are also used in architecture and engineering to design buildings, bridges, and other structures that have semicircular features.

In addition to being a geometric shape, a semicircle can also refer to a half-circle that is used as a decorative element or design motif. Semicircles are often used in art, architecture, and graphic design to create visually interesting patterns and compositions.

To find the area of the figure composed of a square and four semicircles, we need to first find the area of the square and the area of the four semicircles. Then, we can subtract the area of the four semicircles from the area of the square to get the total area of the figure.

The area of the square is simply the side length squared, so in this case it is:

Area of square = (22)^2 = 484 square units

The diameter of each semicircle is equal to the side length of the square, so the radius is half of that or 11 units. Therefore, the area of each semicircle is:

Area of semicircle = (1/2) * π * r^2 = (1/2) * π * 11^2 = 60.4 square units

Since there are four semicircles, the total area of the four semicircles is:

Total area of semicircles = 4 * Area of semicircle = 4 * 60.4 = 241.6 square units

To get the area of the entire figure, we need to subtract the area of the four semicircles from the area of the square:

Area of figure = Area of square - Total area of semicircles

Area of figure = 484 - 241.6 = 242.4 square units

Rounding this to the nearest tenth gives:

Area of figure = 242.4 (rounded to the nearest tenth)

Therefore, the area of the figure composed of the square and four semicircles is approximately 242.4 square units.

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I need some help please

Answers

Answer: this is true

Step-by-step explanation:

The answer would be “true”

How many terms will be in the expansion of (2x+3y) ∧ 6

Answers

The expansion of (2x+3y) ∧ 6 will contain 7 terms.

According to given condition :

The expansion of [tex](2x+3y)^6[/tex] will contain 7 terms.

To see why, consider the binomial theorem, which tells us that the expansion of [tex](a + b) ^n[/tex] will have (n+1) terms, where the first term has coefficient 1 and the last term has coefficient 1.

In the case of [tex](2x+3y)^ 6[/tex], we can think of this as the expansion of [tex](2x + 3y) ^6 as (2x) ^ 6 + 6(2x) ^ 5(3y) + 15(2x) ^ 4(3y) ^ 2 + 20(2x) ^ 3(3y) ^3 + 15(2x) ^2(3y) ^ 4 + 6(2x)(3y) ^5 + (3y) ^6.[/tex]

As we can see, there are seven terms in this expansion, each with a different combination of powers of 2x and 3y. Therefore, the expansion of [tex](2x+3y)^ 6[/tex] will have 7 terms.

What is expression ?

In mathematics, an expression is a combination of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, or roots.

Expressions are used to represent numerical or algebraic quantities, and they can be as simple as a single number or variable, or as complex as a polynomial or rational function.

For example, the expression 2 + 3 represents the sum of 2 and 3, and the expression 3x - 7 represents the result of multiplying x by 3 and then subtracting 7.Expressions can be evaluated by following the order of operations, which tells us to perform operations in a specific order (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right).

Expressions can also be simplified or manipulated using algebraic rules and properties to make them easier to work with or to solve equations involving them.

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Which system of equations could be used to solve for the point of intersection of the lines on the graph? Responses

Answers

The right choice for the equation is y+9=4(x-3). The Option B is correct..

What is an equation of the line?

An equation of the line refers to a linear equation having a degree of one. The equation contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

First thing to do is to solve each of these for y.  The first one is y=-4x-3; the second one is y=4x-21; the third one is y=4x+21; the fourth one is y=-4x+3.  From that, you can tell the positive slopes are found in the second and third equations.  

Those are the ones we will test now for the point (3, -9).  y=-9 and x=3, so let's fill in accordingly.  The second equation filled in is -9=4(3)-21.  

-9=12-21 and -9=-9.  So the second one works.  Just for the sake of completion, let's do the same with the third: -9=4(3)+21.  Does -9=12+21?  Of course, it doesn't. Our equation is the second one above, y+9=4(x-3).

The complete question is given below:

Select the equation that contains the point (3, -9), and in which the graph of the line has a positive slope.

y – 9 = –4(x + 3)

y + 9 = 4(x – 3)

y – 9 = 4(x + 3)

y + 9 = –4(x - 3)

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a normal distribution has a mean of µ = 70 with σ = 12. if one score is randomly selected from this distribution, what is the probability that the score will be less than x = 76?

Answers

The probability that a randomly selected score from this normal distribution is less than x = 76 is 0.6915

To find the probability that a randomly selected score from a normal distribution with mean µ = 70 and standard deviation σ = 12 is less than x = 76,

we need to use the standard normal distribution and calculate the z-score corresponding to x = 76, and then look up the corresponding area under the standard normal curve using a standard normal distribution table.

The z-score is calculated as:

z = (x - µ) / σ

z = (76 - 70) / 12

z = 0.5

By using a standard normal distribution table, we can find the area under the curve to the left of z = 0.5, which is 0.6915.

Therefore, the probability that a randomly selected score from this normal distribution is less than x = 76 is 0.6915 or approximately 69.15%.

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Uncle Scrooge revised his will yet again. The new one states that 35% goes to the cat. The reminder is to be shared equally between his five nieces, except for the youngest, who gets an extra 5% of the estate. If his estate is worth $38000, calculate how much the cat inherits, and how much each niece inherits.​

Answers

Answer:

Step-by-step explanation:

Lets set up a table to keep the information organized.  See the attached table.

There are 6 recipients:  1 cat and 5 nieces.  But since one of the nieces gets an extra 5%, let's treat the extra amount as a separate recipient, which is lablelled N' in the table (Green arrow).  Now enter the percentages for each recipient group.  The percentages for the cat and N', the extra for the youngest niece, are 35% and 5%, as noted.  That leaves 60% to be equally divided among the 5 nieces (including the youngest one who get an additional 5%).  [Note that the 5% extra for niece N' was removed from the total before the remainder can be evenly split amoung the 5 nieces.]

The percentages are multiplied by the total of $38,000 to yield the amounts shown on the table.  

                      Cat:   $13,300

4 younger nieces:   $ 4,560 each  ($18,240) total

    Oldest niece:      $ 6,440

                                  ======

                                                          $38,000 total

[Footnote:  the oldest niece adopted the cat]

The amount of money that the cat inherits and other niece would be =$13,300 and $24,700 respectively.

How to calculate the amount of money inherited by the cat?

The total amount of money that is the worth of the estate of Uncle Scrooge = $38000

The amount of money that goes to the cat = 35% of $38000.

That is;

= 35/100× 38000

= 1330000/100

= 13,300

The amount of money that will be received by the remaining niece = 38000-13300 =$24,700

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what is 5 8 as a decimal

Answers

The number 5/8 as a decimal is 0.625

As we divide a whole into smaller parts, we get decimals. Hence, there are two parts to a decimal number: a whole number part and a fractional part. The whole component of a decimal number has the same decimal place value system as the complete number. After the decimal point, however, when we proceed to the right, we obtain the fractional portion of the decimal number.   

An informal way to read a decimal is to first read the whole number as you would any whole number, then the decimal point as "point," and finally each individual digit of the rational part.

the decimal of 5/8 is

5÷8 = 0.625

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What is the conversion of 20 ml to tsp ?

Answers

There will be approx four teaspoons of US measurement system in 20 ml. That is the unit conversion of 20 mililitre is equals to four teaspoons.

A milliliter is a unit of volume equal to 1/1000 of a liter. It is the same as a cubic centimeter. A US teaspoon is a unit of volume in the cooking system that is equal to 1/3 of a tablespoon or 1/48 of a US cup. To calculate the value in milliliters to the corresponding value in teaspoons [US], multiply the amount in milliliters by 0.2028841362 (conversion factor). Here is the formula: Value in teaspoons [US]

= value in milliliters × 0.2028841362

Now we need to convert 20 ml to teaspoons. So using the above formula we can write the number of teaspoons in 20 ml is Value in teaspoons [US]

= value in milliliters × 0.2028841362

= 20 ml × 0.2028841362

= 4.057682724 ~ 4

Hence required value is 4 teaspoons.

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what is 20 percent of 200?

Answers

Answer: 40

Step-by-step explanation:

20% = 0.2

0.2 x 200 = 40

The perimeter of the rectangle below is 132 units. Find the value of Y.
4y
3y+3

Answers

The value of y is 9

What is perimeter?

Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.

Therefore, the perimeter of a rectangle can be expressed as:

P = 2(l+b)

l = 4y

b = 3y+3

132 = 2(4y+3y+3)

132 = 2( 7y+3)

132 = 14y +6

14y = 132 -6

14y = 126

divide both sides by 14

y = 126/14

y = 9

therefore the value of y is 9

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The value of y in the rectangle shown is: y = 7.

What is the Perimeter of a Rectangle?

The perimeter of a rectangle = 2(length + width)

Given the following as shown in the image attached below:

Length of rectangle = 5y + 3

Width of rectangle = 4y

Perimeter = 132 units

Plug in the values:

132 = 2(5y + 3 + 4y)

Solve for y:

132 = 2(9y + 3)

132 = 18y + 6

132 - 6 = 18y

126 = 18y

126/18 = y

7 = y

y = 7

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How to convert 188 lbs to kg?

Answers

Answer:

Step-by-step explanation:

188lbs = 85.2754 kg

There are 300,000 households in Clover City. A local television repair shop takes a random sample of 50 households and finds that the average number of televisions per household from the sample last year that needed to be repaired was 2.53 ± 0.71. Which of the following is an estimate of the total number of televisions that needed repairing last year in Clover City?


Answers

Try using Socratic and it may help

Will give 20 pts!

You kayak up a river at a rate of 168 feet every 2 minutes. You kayak 56 feet every 30 seconds on the way back down the river. How much farther do you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river?

Answers

You kayak 140 feet further in 5 minutes going downstream than you do in 5 minutes going upstream.

Relationship Between Speed, Time & Distance:

Speed is determined by dividing the distance traveled by the time taken to travel it. It gives the distance traveled and the amount of time it took to travel that distance.

Speed is directly Proportional to Distance and Inversely proportional to Time. Hence,

Distance = Speed X Time.

Given: You paddle a kayak 168 feet up a river every two minutes.

Hence, 168/2 = 84 feet per minute.

Therefore you go up  84 feet in one minute.

You reach 84*5 = 420 feet in 5 minutes.

Given: As you paddle back down the river, you cover 56 feet every 30 seconds.

Speed is determined by distance traveled divided by time, therefore when traveling downward, 56/0.5 equals 112 feet per minute.

In one minute, you descend by 112 feet.

You descend 560 feet in 5 minutes, or 5*(112) feet.

As a result, you will move on 140 feet (560 - 420)=140 feet further .

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A boat travels 15 miles upstream and then turns around and travels 15 miles downstream. The total time for both trips is 4 hours. If the stream flows at 5 miles per hour, how fast does the boat travel in still water?

Answers

If the boat needed to travel 15 miles there and back, while the stream only moves 5 miles per hour, it would take 3 hours to travel there and back. This means that in still water, the boat would take 6 hours to move 15 miles upstream and back.

Using the special right triangle shortcuts, what is the length of the hypotenuse of a 45-45-90 triangle with a leg length of 8?

Answers

The length of the hypotenuse is 8√2 units.

What is Pythagoras theorem?

According to the Pythagoras theorem, we can write -

the square of the hypotenuse is equal to the sum of the squares of the other two sides.Mathematically, we can write -

        (hypotenuse)² = (base)² + (perpendicular)²

        (h)² = (b)² + (p)²

Given is a 45 - 45 - 90 triangle with a leg length of 8.

Equal Opp. Angles Theorem -

The angles opposite to equal sides are equal and vice - versa is also true. So, we can conclude that both leg length and height length are equal. Mathematically, we can say : (base) = (perpendicular) = 8 units

We can write using the Pythagoras theorem as -

x² = 8² + 8²

x² = 64 + 64

x² = 128

x = √(2 x 2 x 2 x 2 x 2 x 2 x 2)

x = √(2² x 2² x 2² x 2 )

x = 8√2

Therefore, the length of the hypotenuse is 8√2 units.

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Suppose we pick three people at random. For each of the following questions, ignore the special case where someone might be born on February 29th, and assume that births are evenly distributed throughout the year (a) What is the probability that the first two people share a birthday? (b) What is the probability that at least two people share a birthday?(c) What is the probability that all three people share a birthday? (d) What if there were 15 people, what is the probability that at least one pair share a birthday? (e) What if there were 23 people, what is the probability that at least one pair share a birthday?

Answers

Answer:

a) The probability that the first two people share a birthday is 0.97 or 97%.

b) The probability that at least two people share a birthday is 0.99 or 99%.

c) The probability that all three people share a birthday is 0.0015 or 0.15%.

d) The probability that at least one pair of 15 people share a birthday is 0.58 or 58%.

e) The probability that at least one pair of 23 people share a birthday is 0.87 or 87%.

what is chi square distribution table

Answers

A chi-square distribution table is a table that lists critical values for the chi-square distribution.

The chi-square distribution is a probability distribution that is used in statistical hypothesis testing to test whether a set of observed data is consistent with a specified theoretical distribution.

The table is used to find the probability that the chi-square statistic computed from the data is greater than or equal to a given critical value. The critical values depend on the degrees of freedom (df), which are determined by the number of categories in the data.

The chi-square distribution table lists the critical values for various degrees of freedom and levels of significance. For each level of significance (e.g., 0.05 or 0.01),

The table provides the critical value for each degree of freedom. To use the table, you need to determine the degrees of freedom for your data and then find the appropriate critical value for the desired level of significance.

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Help me please I am so lost

Answers

Answer:

Being lost on this problem is well-earned.  I don't know what the question is looking for.  There appear to be no options, other than to identify some unique feature of the calculation.

If a polynomial has one root in the form of (a+[tex]\sqrt{b}[/tex]) and a second root in the form of (a-[tex]\sqrt{b}[/tex]) the polynomial must have the form of a^2 + b.

Step-by-step explanation:

I'll take a guess at how this problem wants the sentence to end.  We are told there are two roots a polynomial.  We can write the polynomial as the product of both roots, which would be equal to zero:

(a+[tex]\sqrt{b}[/tex])*(a-[tex]\sqrt{b}[/tex])

Multiply the factors to obtain:

a^2 - a[tex]\sqrt{b}[/tex] + a[tex]\sqrt{b}[/tex] + ([tex]\sqrt{b}[/tex] )^2

a^2 + b

So one might say:

If a polynomial has one root in the form of (a+[tex]\sqrt{b}[/tex]) and a second root in the form of (a-[tex]\sqrt{b}[/tex]) the polynomial must have the form of a^2 + b.

But that's my guess at something that would be a true statement.

how to convert 4.5 million yen to usd?

Answers

As per the exchange rate, 4.5 million YEN is equivalent to 41,145 USD.

The first step in converting currency is to determine the current exchange rate between the two currencies. In this case, we will need to find the exchange rate between Japanese yen (JPY) and US dollars (USD). As of writing this, the exchange rate is 1 USD = 109.62 JPY.

Next, we will use the conversion factor to convert 4.5 million JPY to USD. To do this, we need to multiply the amount of JPY by the conversion factor, which is the exchange rate.

1 USD / 109.62 JPY = 0.00913 USD/JPY

Now, we can use this conversion factor to convert 4.5 million JPY to USD.

4.5 million JPY * 0.00913 USD/JPY = 41,145 USD

Therefore, 4.5 million JPY is equivalent to 41,145 USD.

In conclusion, converting currency from one form to another may seem challenging, but with the help of conversion factors, it becomes simple. Just remember to multiply the amount of the original currency by the conversion factor to get the equivalent value in the desired currency.

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Find m21 and m2. Justify.
10.
79⁰
21.2

Answers

It should be noted that the value of the angles will be m<2= 101; m<1=79°.

How to calculate the angles

It should be noted that if parallel lines are intersected by a transversal, the correspondng angles are congruent

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°.

In this case, m2 = 180 - 79

= 101°

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Please help. I know it’s long but I will literally do anything. Please

Answers

The slope and y - intercept of the line of best fit are 1.22 and -0.09 respectively.

What is the slope of the line of best fit

a.

To fill the table of the residuals, we can approach it as;

residual = food waste - number of people.

3.2 - 2 = 1.4

2.5 - 3 = -0.5

8.9 - 4 = 49

4.7 - 4 = 0.7

3.5 - 4 = -0.5

4 - 4 = 0

5.3 - 5 = 0.3

4.6 - 5 = -0.4

7.8 - 5 = 2.8

3.2 - 6 = -2.8

12 - 8 = 4

b.

The equation is given as;

y = 1.22x - 0.09

The slope of the line of best fit is 1.22

c.

The y - intercept is given as -0.99

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What is the conversion of 240 minutes in hours ?

Answers

The conversion of 240 minutes in hours is 4 hours.

Hours and minutes are units of time used to measure the duration of events or the amount of time that has elapsed. An hour is a unit of time equal to 60 minutes or 3,600 seconds. It is typically used to measure the duration of longer events, such as a movie, a class, or a workday.

To convert 240 minutes to hours, you can divide 240 by 60 (since there are 60 minutes in one hour).

240 minutes / 60 = 4 hours

Therefore, 240 minutes is equivalent to 4 hours.

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