Three ballet dancers are positioned on stage. If Vijay is 2 meters straight behind Jordan and 1 meter directly left of Alana, how far is Jordan from Alana?

Answer:

The one under the 1st I am pretty sure.

Step-by-step explanation:

The given equation is of form : x1+x2+...+xn = k, where x1>=m1, x2>=m2 and so on, this is typical equation which can be mapped to questions like :

Q)You have n candies and you want to distribute it to k children where each child gets at least m candies or in other words n same candies in k different boxes, where each box must have certain number of candies.

In your case m1=m2=...=mn= 0(or 1 based on your definition of natural numbers, lets first solve for condition where lower bound is 0).

This solution is simple, (n-1+k C k) which gives (3-1+11 C 11) = 78 as answer.

Now, the case for which we start natural numbers with 1 :

First we need to reduce it to previous formula. This can be done by making the lower bounds as 0 or to say lets first distribute minimum number of candies to children.Now we are left with k-m1-m2...-mn candies, so equation reduces to :

x1+x2+...+xn = k-m1-m2...-mn

or in your case x1+x2+x3 = (11-3) = 8

Now, using the previous formula (3-1+8 C 8) = 45.Which is required solution.

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Answer: O A. (1.5, 0.75)

Step-by-step explanation: First, take a look at the x-axis. The two line's point of intersection on the x-axis lies between 1 and 2. It's in the middle, so it's 1.5 for the x-axis. We can eliminate answer choices B and C since we've clarified what the correct x-axis value is. Now, the y-axis is a tiny bit tricky but look at the numbers that both lines fall between. It's between 0 and 1 and the point of intersection is almost the value of 1, but not quite. So 0.75 is the y-axis value. Therefore, (1.5, 0.75) is your answer.

Let me know if this is right! :)

The ratio scale is the measurement is being used when a researcher measures the number of car accidents that participants have been involved in during their lifetime.

A ratio scale is a quantitative scale where there is a true zero and equal intervals between neighboring points. A zero on a ratio scale means there is a total absence of the variable you are measuring.

A ratio Scale is a type of measurement scale that is quantitative in nature, it has an absolute zero and its intervals or differences are used for comparison.

A ratio scale is the most informative because it tends to tell the order and number of objects between scales.

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Answer:

the answer is either 47 or 35

Step-by-step explanation:

this is. Because the only factors of five are 5 or 1 so all you can do is 5x3weeks=15 so 32+15=47

Or it can be 32+(1x3weeks)=32+3=35

The Working capital is $366,00, the Current ratio is $70,000, the ratio of debt to assets is 2.8, and the profit per share 50,000.

(1) Working capital I (2021: $160,500)

Current Assets - Current Liabilities = Net Working Capital

$549,000 in current assets

($183,000) Current liabilities

$549,000 minus $183,000 is $366,00 in net working capital.

(2) Current ratio (ii). (2021: 1.65:1)

Current Assets / Current Liabilities is the current ratio.

$3 is the current ratio or $549,000 / $183,000

Free cash flow is (iii). (2021: $48,700)

$192,700 in net operating cash flow

Cash flow from investing, net ($91,000)

Cash flow from investing, net ($31,700)

$70,000 is the free cash flow.

(3) The ratio of debt to assets (2020: 31%)

Total liabilities / total assets are the debt-to-assets ratios.

Liabilities totaling $1,121,500

Assets totaling $403,740

debt to assets ratio equals 1,121,500/403,740, or 2.8.

(4) The profit per share. (2020: $3.15)

(Net income - preferred dividends) / weighted average stocks Equal earnings per share.

$141,000 is the net income.

0$ for preferred dividends

average weighted stocks = 50,000

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Answer:

Here is the inequality graphed. The circle isn't filled in and the point is at 1.4  just in case you cannot see it.

Step-by-step explanation:

Answer:

-6.50

Step-by-step explanation:

The zeros of the function are the x-values that make f(x) equal to zero. To find the zeros of this quadratic function, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

Where a = 2, b = 20, and c = 46. Plugging in the values:

x = (-20 ± √(20² - 4 * 2 * 46)) / 2 * 2

x = (-20 ± √(400 - 184)) / 4

x = (-20 ± √216) / 4

x = (-20 ± √6 * √6) / 4

x = (-20 ± 6) / 4

So the zeros are x = (-20 + 6) / 4 = (-14) / 4 = -3.5 and x = (-20 - 6) / 4 = -26 / 4 = -6.5.

Rounding to the nearest hundredth, the zeros are approximately -3.50 and -6.50.

Answer:

3, 13

Step-by-step explanation:

(3,13)

Answer: (3,13)

Step-by-step explanation:

A fraction, such as one-half, eight-fifths, or three-quarters, indicates the number of parts of a particular size when it is used in daily speech.

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Andrew collected 3/15 of the stamps in form of fraction.

To find the fraction of stamps collected by Andrew, we need to divide the number of stamps he collected by the total number of stamps collected by all 4 students:

Fraction collected by Andrew = Number of stamps collected by Andrew / Total number of stamps collected

= 15 / (19 + 15 + 23 + 18)

= 15 / 75

= 3/15

So, Andrew collected 3/15 of the stamps.

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The slope of DA will be -4.

Given is that ABCD is a parallelogram and the slope of AB is {12}, the slope of BC is {-4}, and the slope of CD is {12}.

Now, the slope of DA will be equal to that of BC.

{opposite sides of a ||gm are parallel}

m{DA} = - 4

Therefore, the slope of DA will be -4.

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The length of the segment A'B' is 4

The length of the segment B'B is 4

What are similar triangles?

If two triangles' corresponding angles and sides are identical and their corresponding sides are proportional, or if the ratios between the lengths of the corresponding sides are comparable, then two triangles are said to be similar.

ABC and A'B'C are similar triangles

So, we have

A'B'/AB = B'C/BC = CA'/CA

=> A'B'/12 = 2/BC = 3/9

=> A'B'/12 = 2/BC = 1/3

=> A'B'=12/3 = 4

And BC= 2*3 = 6

B'B= BC-B'C = 6-2 = 4

So, the length of the segment A'B' is 4

the length of the segment B'B is 4

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Answer:

$22

Step-by-step explanation:

Total amount of money = $46

total amount of items = 4

price of each item = $6

4 items multiplied by 6 dollars per item is 24 dollars for 4 items.

46 - 24 = 22   Six minus four is two and two minus two is two.  So, the answer is 22.

The highest point of the arch is 9/10 feet above the ground.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

To find the highest point of the arch, we need to find the vertex of the parabola defined by the function h = -1/5x²+x.

The vertex of a parabola represented by the equation y = ax² + bx + c is given by

(-b/2a, c-b²/4a)

The vertex of the parabola is given by (-1/2×1/5, h-1/4×1/25) = (1/10, h-1/100)

Now substitute the value of h from the given equation:

h=-1/5x²+x

So, the value of h at the vertex is (1/10, -1/5 × (1/10)²+1/10-1/100) = (1/10, 9/100)

Thus, the highest point of the arch is 9/10 feet above the ground.

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Answer:

7/12 is a proper fraction, and is not a mixed number

Step-by-step explanation:

Vertical lines have NO SLOPE. We can't divide by zero, which is of course why this slope value is "undefined". This relationship is always true: a vertical line will have no slope, and "the slope is undefined" or "the line has no slope" means that the line is vertical.

Now, According to the question:

The slope of a vertical line is infinite or undefined as it has no y-intercept. The slope of a vertical line is undefined. That’s because, in a horizontal line, the change in the x-value will always be 0. You can figure this out by calculating the horizontal difference between the two x-coordinates. Remember the slope formula:

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

With a vertical line, this results in a bottom denominator of 0. However, dividing by 0 is something that doesn’t exist in math! Even though the difference in y-coordinate may change, dividing any number by the change in x-coordinate, 0, will result in an undefined slope.

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The height of the rocket is given by the function y = 30t - 5t^2, where y is in meters and t is in seconds.

What does function mean in maths?

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. The input is commonly called the argument and the output is commonly called the value of the function.

We know that the distance between the observer and the rocket is the square root of the height of the rocket squared plus the distance from the observer to the launch point squared.

r = sqrt(y^2 + d^2)

To find the derivative of r with respect to time, we will use the chain rule.

dr/dt = (dr/dy)(dy/dt)

First, we will find dy/dt. Using the power rule for derivatives, we have:

dy/dt = 30 - 10t

Now, we will find dr/dy. Using the definition of r and the power rule, we have:

dr/dy = 1/sqrt(y^2 + d^2)

Now, we can substitute these values into our original equation for dr/dt:

dr/dt = (1/sqrt(y^2 + d^2))(30 - 10t)

We can now substitute the equation for y into this expression:

dr/dt = (1/sqrt((30t - 5t^2)^2 + d^2))(30 - 10t)

simplifying the above expression

dr/dt = (30t-5t^2)(30-10t)/sqroot(30t-5t^2)^2+d^2

So the expression for the derivative of the distance between the observer and the rocket with respect to time is (30t-5t^2)(30-10t)/sqroot(30t-5t^2)^2+d^2

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Answer:

each pencil costs 11 cents

Step-by-step explanation:

1.35 divided by

Answer:

Look at the explanation.

Step-by-step explanation:

The measure of ∠F is 57 degree.

A figure which is formed by two rays or lines that shares a common endpoint is called an angle. Degree is the unit of measure is used to measure the magnitude of an angle.  A triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees.

cos F = (e² + g² - f²)/2eg

cos F = (2.6² + 8.3²- 7.2²)/2(2.6)(8.3)

  = 0.5516

∠F = arccos 0.5516

∠F = 57° (rounded to the nearest degree)

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To solve for x, the value of x is 40^o.

When two given lines intersect at a point, a series of angles which have common properties called vertical opposite angles are formed.

Two lines are perpendicular if and only if they are at right angle to each other.

To solve for x in the given question, lines AB is perpendicular to CD Let the point of intersection of AB and CD be labelled as O.

Given that: AB ⊥ CD, then;

m<AOD = m<BOC            (vertically opposite angle theorem)

But, m<BOC = 90^o

So that,

(2x + 10) = 90^o

2x = 90 - 10

    = 80

x = 80/ 2

  = 40

x = 40^o

Therefore after solving, it can be deduced that the value of x is 40^o.

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The sum of the polynomials that have been shown is x(x^3 + y^3) + x^3 + y^3 (x^3 - x + y^3)/x^3 + y^3[x(x^3 + y^3)].

Polynomials can be added by combining like terms, which are terms with the same degree and coefficient. The addition is performed by adding the coefficients of the like terms. The result is a new polynomial with the combined like terms.

We would have that;

1/x^3 + y^3 + x^3 - x + y^3/x(x^3 + y^3)

x(x^3 + y^3) + x^3 + y^3 (x^3 - x + y^3)/x^3 + y^3[x(x^3 + y^3)]

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The decimal value of 37/50 is 0.74

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

Now,  we can write 37/50 = 37*2/ 50*2 = 74/100 = 0.74

The decimal value of 37/50 is 0.74

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The equation is y = 0.5 cos (x + π/2) - 1

In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

Amplitude = 0.5

Period = pi

Vertical translation: k = -1

So, the equation using the above can be written as,

y = 0.5 cos (x + π/2) - 1

Thus, the equation that matches the description will be

y = 0.5 cos (x + π/2) - 1.

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Answer:Ampltiude= 0.05

             Period= pi

             Vertical Translation k= -1

second part is     A. Y=1/2cos(2x)-1

Step-by-step explanation:edgde

5th warmup queston

Purple shows 20 times and 20/100 is 1/5 when we simplify the fraction

Fraction represents a part of a whole or, more generally any number of equal parts. They are proper fractions, improper fractions and mixed fractions. Fractions are those terms which have numerator and denominator.

So we need to find the fraction of many times does purple show up in 20 trays in which every tray has 5 colors.

To find the answer we need to find the overall number of all colors and that is 20 trays * 5 colors and that equals to 100 colors. So purple shows 20 times and 20/100 is 1/5 when we simplify the fraction

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The equation a[tex]x^{2}[/tex]+[tex]by2[/tex]+2hxy+2gx+2f2f+c=0 represents a pair of straight

lines if a b c+2fgh−a[tex]f2[/tex]−b[tex]g2[/tex]−c[tex]h2[/tex]=0

Here, a=a, b=−1,h=0,g=2, f=-1/2,c=0

0+0-a/4+4-0=0

a=16

example

Let M(x, y) be the median of ΔABC through A to BC.M will be the midpoint of BC.x1​=5,y1​=3x2​=3,y2​=−1By midpoint formula, x=(x1​+x2​)/2∴x=(5+3)/2=8/2=4By midpoint formula, y=(y1​+y2​)/2∴y=(3+(−2))/2=2/2=1Hence the co-ordinates of M are (4,1).By distance  formula, d(AM)=[(x2​−x1​)2+(y2​−y1​)2]​x1​=7,y1​=−3x2​=4,y2​=1

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Selecting a larger sample size increases the likelihood of selecting a mean height less than 70 inches. The normal distribution also increases the chances of having a mean height less than 70 inches.

The normal  is a bell-shaped curve, which means that most of the data points will be close to the mean. Therefore, when you take a larger sample size, the mean of the sample will be closer to the population mean. Additionally, due to the nature of the normal distribution, you will have a better chance of having a mean height less than 70 inches when you take a sample size of 20 people. Therefore, you are more likely to select a sample of 20 women with a mean height less than 70 inches.

You are more likely to select a sample of 20 women with a mean height less than 70 inches. This is because when you select a sample of 20 people, you are taking a larger sample size and therefore the mean will be closer to the population mean than if you select just one person. Additionally, when you select a sample of 20 people, you will have a better chance of having a mean height less than 70 inches due to the nature of the normal distribution.

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No, Robert has traveled 1,000 meters (600 + 400), or 0.62 miles, by walking 400 meters to and from the store and 600 meters to and from the library.

Miles are used to measure distance. The distance is 1.609 kilometers equivalent. 1,760 yards make up one mile.

The Roman mille passus, sometimes known as the "thousand paces," was 5,000 Roman feet long and served as the model for the statute mile, which is 5,280 feet. Five Roman feet are equivalent to one Roman pace, which is the distance between the heel of one foot being elevated to the heel being laid down again following a step by the other foot.

Assumed distances from home to four different locations are as follows:

To school = 350 meters

To church = 240 meters

To store = 200 meters

To library = 300 meters

Therefore, for Robert to walk a mile, he needs to cover 1,609 meters.

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In the word problem , Ashley harvested  [tex]\frac{1}{2}[/tex] acre more than Jill.

What is Word problem?

Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement. Determining whether two provided expressions are equal with respect to a collection of rewritings is known as a word problem in computational mathematics.

Here according to the question,

Acre harvested by Ashley = [tex]\frac{5}{6}[/tex]

Acre harvested by Jill = [tex]\frac{1}{3}[/tex]

Now to find number of more acre harvested by Ashley than Jill then,

=> Acre harvested by Ashley - Acre harvested by Jill

=> [tex]\frac{5}{6} -\frac{1}{3}[/tex]

=> [tex]\frac{5-2}{6}[/tex]

=> [tex]\frac{3}{6}[/tex]

=> [tex]\frac{1}{2}[/tex]

Hence Ashley harvested  [tex]\frac{1}{2}[/tex] acre more than Jill.

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