72/45 in simplest form

Answer:

1 us dollar =0.84 euros so,400 us dollar =084x400 so, she will receive 336 euros in exchange.

54 grams of aluminium is present in aluminium sulphate Al₂(SO₄)₃.

A substance's molecular mass is the sum of the atomic masses of all of the atoms in the molecule of a substance.

For the given question, the expression is;

aluminium sulphate Al₂(SO₄)₃

As three of aluminium is present in the aluminium sulphate.

And, molecular mass of one aluminium atom is 27 grams;

Thus, for 2 aluminium atoms = 2×27 = 54  grams.

Therefore, the compound aluminium sulphate contains 54 gram of aluminium in it.

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The correct option is C) 24 and 28 for the given multiplication table.

The given multiplication are-

This is the table 5 starting with;

5×3 = 15 ....... 5×6 = 30

This is the table of 6 starting with;

6×3 = 18 ....... 6×6 = 36

Thus, the missing number is;

6×4 = 24

This is the table 7 starting with;

7×3 = 21 ....... 7×6 = 42

Thus, the missing number is;

7×4 = 28

This is the table of 8 starting with;

8×3 = 28 ....... 8×6 = 48

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The correct question is-

Part of a multiplication table is shown.

15 20 25 30

18 __ 30 36

21 __ 35 42

24 32 40 48

What two numbers are needed to complete the pattern in

the multiplication table?

OA) 21 and 24

OB) 24 and 24

OC) 24 and 28

OD) 21 and 28

A 150 cm post is painted in shades of azure, red, and amber. The blue portion of the post is two-fifths of the way up, the red portion is one-half of the blue portion, and the remaining portion is painted in amarillo. What does each part weigh?

71 forms

First, we'll determine how many different ways the five cubes may be arranged in a column using the multiplicand rule:

5 * 4 * 3 * 2 * 1 = 120

We have five cubes to place at the base of the column, four for the second position, three for the third position, and so on until all the cubes are organized.

Then we'll calculate how many different ways we may arrange the five cubes so that they'reBlue cubos twirl around one another. In this case, we would count the two blue cubes as though they were only one, which means that we would only have "4 cubes" and be able to arrange them in 24 different ways:

4 * 3 * 2 * 1 = 24

On the other hand, the two blue cubes can be arranged in one of two different ways: first the clear, then the dark, or first the dark, then the clear.

That is to say, there are 24 different ways to arrange the cubes so that the light comes on first and the dark follows, and there are 24 different ways to arrange the cubes so that the dark comes on first and the light follows.

This means that 48 of the 120 ways to organize the five cubes contain the cubes. 72 (120-48) formas los dos cubos azules no se tocan entre sí.

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L = 10 and w= 5 are  the dimensions of the rectangular garden.

What is a rectangle, exactly?

Let the width of the garden be a

Length of the garden = a + 5

Area = l * w

66 = ( a+ 5 ) * a

66 =  a² + 5a

a² + 5a -66 = 0

a² + 11a - 5a - 66 = 0

a( a + 11 ) -5 ( a + 11) = 0

( a + 11 ) ( a - 5) = 0

so  a + 11 = 0 ⇒  a = -11

      a - 5 = 0 ⇒ a = 5

Width cannot be negative.

l = a + 5 = 10

w = 5

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The additive inverse of the numbers given as -7/8 and 7/8  are 7/8 and -7/8

The numbers are given as:

-7/8 and 7/8

As a general rule, the additive inverse of a number x is -x

This means that the additive inverse of the numbers given as -7/8 and 7/8  are 7/8 and -7/8

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Answer:

x = 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given function:

[tex]y=\dfrac{x-3}{x^2-2x-3}[/tex]

The domain is the set of all possible input values (x-values).

Factor the denominator of the function:

[tex]\implies y=\dfrac{x-3}{(x-3)(x+1)}[/tex]

The domain of the given function is restricted as the function is undefined when the denominator equals zero, and when both the numerator and denominator equal zero.  

Therefore, the function is undefined when x = -1 and x = 3.

Therefore, the domain is (-∞, -1) ∪ (-1, 3) ∪ (3, ∞).

The range is the set of all possible output values (y-values).

As the domain is restricted, the range is also restricted.

Therefore, the range is (-∞, 0) ∪ (0, ¹/₄) ∪ (¹/₄, ∞).

A function f(x) is continuous when, for every value [tex]c[/tex] in its domain:

[tex]\text{$f(c)$ is de\:\!fined \quad and \quad $\displaystyle \lim_{x \to c} f(x) = f(c)$}[/tex]

Point Discontinuity (holes): When a rational function has a factor with an x that is in both the numerator and the denominator.

Therefore, there is a point discontinuity at x = 3.

Infinite Discontinuity: A vertical asymptote occurs when the denominator of a rational function is zero. This is considered an infinite discontinuity when the graph exists on both sides of the asymptote.

Therefore, there is an infinite discontinuity at x = -1.

Stationary points occur when the gradient of a graph is zero.

Therefore, to find the x-coordinate(s) of the stationary points of a function, differentiate the function, set it to zero and solve for x.

[tex]\begin{aligned}y & =\dfrac{x-3}{x^2-2x-3}\\\\\implies \dfrac{\text{d}y}{\text{d}x} & = \dfrac{(x^2-2x-3)(1) - (x-3)(2x-2)}{\left(x^2-2x-3\right)^2}\\\\ & = \dfrac{(x-3)(x+1)-(x-3)(2x-2)}{\left((x-3)(x+1)\right)^2}\\\\& = \dfrac{(x-3)[(x+1)-(2x-2)]}{(x-3)^2(x+1)^2}\\\\ & = \dfrac{(x-3)(-x+3)}{(x-3)^2(x+1)^2}\\\\ & = \dfrac{-(x-3)^2}{(x-3)^2(x+1)^2}\\\\& = \dfrac{-1}{(x+1)^2}\end{aligned}[/tex]

[tex]\begin{aligned}\dfrac{\text{d}y}{\text{d}x} & = 0\\\implies \dfrac{-1}{(x+1)^2} & = 0\\ -1 & \neq 0\end{aligned}[/tex]

Therefore, there are no stationary points and no minimum/maximum points.

[tex]\textsf{A function is \textbf{increasing} when the \underline{gradient is positive}} \implies \dfrac{\text{d}y}{\text{d}x} > 0[/tex]

[tex]\textsf{A function is \textbf{decreasing} when the \underline{gradient is negative}} \implies \dfrac{\text{d}y}{\text{d}x} < 0[/tex]

Increasing

[tex]\begin{aligned}\dfrac{\text{d}y}{\text{d}x} & > 0\\\implies \dfrac{-1}{(x+1)^2} & > 0\\ \dfrac{1}{(x+1)^2} & < 0\\ \textsf{If $\dfrac{1}{a} < 0$ then $a < 0$}:\\(x+1)^2 & < 0\\ \textsf{As $(x+1)^2\geq 0$, no solution.}\end{aligned}[/tex]

Decreasing

[tex]\begin{aligned}\dfrac{\text{d}y}{\text{d}x} & < 0\\\implies \dfrac{-1}{(x+1)^2} & < 0\\ \dfrac{1}{(x+1)^2} & > 0\\ \textsf{If $\dfrac{1}{a} > 0$ then $a > 0$}:\\(x+1)^2 & > 0\\ \end{aligned}[/tex]

[tex]\textsf{For $a^n > 0$, if $n$ is even then $a < 0$ or $a > 0$}[/tex]

[tex]\implies x+1 < 0 \implies x < -1[/tex]

[tex]\implies x+1 > 0 \implies x > -1[/tex]

Combine the intervals:

(-∞, -1) ∪ (-1, ∞)

Therefore:

[tex]\textsf{A function is \underline{even} when $f(x) = f(-x)$ for all $x$.}[/tex]

[tex]\textsf{A function is \underline{odd} when $-f(x) = f(-x)$ for all $x$.}[/tex]

As there is no symmetry about the y-axis (even symmetry) and no origin symmetry (odd symmetry), the symmetry of the function is neither.

Answer:

Domain: (-∞, -1) ∪ (-1, 3) ∪ (3, ∞)

Range: [0, ∞)

Continuity: Point discontinuity (hole) at x = 3.

Infinite discontinuity (vertical asymptote) at x = -1.

None

Decreasing function: (-∞, -1) ∪ (-1, ∞)

Symmetry: Neither

The conversion of 100 kilometers to meters would be,

100 kilometers = 100,000 meters

The correct answer is an option (a)

In this question we need to convert the metric units of length.

We need to convert 100 kilometers to meters.

We know that, 1 kilometer = 1000 meters

Let 100 kilometers = p meters

So, we get an expression,

p × 1 = 100 × 1000

From this expression we get,

p = 100,000 meters

This means, 100 kilometers = 100,000 meters

Therefore, the conversion of 100 kilometers to meters would be,

100 kilometers = 100,000 meters

The correct answer is an option (a)

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The probability of having less than 10 vegans attending the event, given that the binomial distribution requirements are satisfied, is 9%.

The requirements of a binomial distribution include:

Probability is the likelihood of an event occurring given the possibility of many outcomes.

Probability is computed as percentages, fractions, or decimals, and it cannot be more than 1.

Expected guests = 100

Expected vegans = 5%

Less than 10 vegans = 9

The chance that 9 vegans will attend the event = 9/100 = 9%.

Thus, the probability of having less than 10 vegans attending the event is 9%.

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Answer:

The end point is (8,-18)

Step-by-step explanation:

Answer:

(in English)

x can be anything EXCEPT -3

(in Math)

Interval Notation:

(negativeinfinitysymbol,-3)U(-3,infinitysymbol)

Set Builder Notation:

{x | x < -3 or x > -3}

Step-by-step explanation:

Since this function is a rational function (like a fraction) we have to watch out for what is going on in the denominator. The denominator cannot be zero.

So, 2x + 6 cannot be zero. Let's figure out what makes 2x+6 actually equal to 0.

2x + 6 = 0

Subtract 6.

2x = -6

Divide by 2.

x = -3

Remember this is what x canNOT be.

This question is a domain question. What is x allowed to be? x may be anything except -3.

The intervals on which the function f of x is increasing is:

(6, 0) U (2, 4) U (7, 9)

When we have the graph of a function, we can identify if it is increasing if, reading from left to right, we can see that the graph of the function goes upwards.

For the graphed function, we can see that it increases for the values:

-6 < x < 0

2 < x < 4

7 < x < 9

Writing this in interval notation, we have:

(6, 0) U (2, 4) U (7, 9)

This is the list of intervals on which the function f(x) is increasing.

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Answer: -3

Step-by-step explanation:

turn mixed numbers into improper fractions, simplify, and solve- see attached

Answer:

-3

Step-by-step explanation:

to find the answer first turn both numbers into improper fractions

-1 13/14 becomes -27/14

1 5/9 becomes 14/9

now multiply them

[tex]\frac{-27}{14} * \frac{14}{9}[/tex]

you can cancel out the 14s

[tex]\frac{-27}{1} * \frac{1}{9}[/tex]

now divide 9 to the top of the first fraction and to the bottom of the second one

[tex]\frac{-3}{1} * \frac{1}{1}[/tex]

now multiply

-3/1 is your answer

that is basically -3

The exercise target rate according to the Rate of change is 162.5.

According to the statement

We have to find that the target rate of the exercise.

So, For this purpose, we know that the

Rate of change is used to mathematically describe the percentage change in value over a defined period of time

From the given information:

Alyssas resting heart rate is 50 beats per minute. Her target exercise rate is 325% of her resting rate.

then

The exercise target rate  = 325% of 50 beats.

Then

The exercise target rate  = 325/100*50

The exercise target rate  = 3.25*50

The exercise target rate  = 162.5.

So, The exercise target rate according to the Rate of change is 162.5.

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Answer:

Step-by-step explanation:

You want the individual speeds of airplanes that close the 2940 mile distance between them in 4 hours, and have a speed difference of 35 mph.

The closing speed is found using the relation ...

  speed = distance/time

It is ...

  (2940 mi)/(4 h) = 735 mi/h

If x represents the speed of the slower plane, then (x+35) is the speed of the faster one. The sum of their speeds is the closing speed:

  x +(x +35) = 735

Simplifying, we have ...

  2x +35 = 735

  2x = 700 . . . . . . subtract 35

  x = 350 . . . . . . . divide by 2

  x+35 = 385 . . . . speed of the faster plane

The speeds of the planes are 350 mph and 385 mph.

The number of vanilla and chocolate flavoured cupcakes sold every day is 1250 and 3750, respectively.

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hi

f(a+7)

f(x) =x²+5

by remplacing X by (a+7) :

then  f(a+7) = (a+7)²+5

                  =   a² +2*a*7 +49 +5

                  = a² +14a +54

If a sophomore was chosen yesterday, the probability that a sophomore will be chosen again today is 3/10.

Given, number of students name put into the hat = 20

total number of freshmen in the class = 12

total number of sophomore in the class = 6

total number of juniors in the class = 2

we are asked to determine the probability that the sophomore will be selected the second day also = ?

Calculating a situation's probability allows us to determine its likelihood. Absolute certainty in forecasting is challenging in many situations. With its help, we are only able to anticipate the likelihood, or chance, that an event would occur.

from the given data,

n(s) = 20

n(A) = 6 ⇒ as the name selected in the first day is put back in the hat.

⇒ P(A) = n(A)/n(s)

P(A) = 6/20

P(A) = 3/10

hence the probability that the another day again a sophomore will be chosen is 3/10.

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The circumference of a radius equals 6 inches is 37.68 inches

The radius is given as

r = 6 inches

The circumference of a circle is calculated as

C = 2pi r

So, we have

C = 2 * 3.14 * 6 inches

Evaluate the product

C = 37.68 inches

Hence, the circumference of a radius equals 6 inches is 37.68 inches

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The original cost of the dress is $14.45

The dresses were sold for $17 each

This price was 85% of the original price

Therefore the original cost of the dress can be calculated as follows

85/100= 0.85

The first step is to calculate the original pre sale price

17= 0.85x

x= 17/0.85

= 20

The original cost of the cloth is

= 0.85 × 17

= 14.45

Hence the original cost of the cloth is $14.45

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The answer is 27 for your math

Step-by-step explanation:

Answer:

188 = 46x + 73

It took 2 1/2 or 2.5 hours to complete.

Step-by-step explanation:

There is a one time cost of 73 for the parts, but the hours will be 46 per hour.  I know the total cost, so we need to solve for x which is the hours.

188 = 46x + 73  Subtract 73 from both sides of the equation

115 = 46x  Divide both sides of the equation by 46

2.5 = x

Answer:

the answer is

Step-by-step explanation:

A is more likely to be 12 and B could be 3

so 12/3=4

and

3/12= 0.25

Answer:

spam

Step-by-step explanation:

spam spam spam

Answer:

=========================

Area equation of a rectangle

Answer:

Length = 88.9 cm

Step-by-step explanation:

Formula we use,

→ A = L × W

Then the value of its length is,

→ A = L × W

→ 8712 = L × 98

→ L = 8712/98

→ L = 88.8979591837

→ [ L = 88.9 cm ]

Hence, the length is 88.9 cm.

The number of cats the nemesis have is 4

A fraction is defined as the part of a whole.

Types of fractions;

From the information given, we have that the Nemesis number of cats is ' Five-sixths of my cats plus three

This is expressed as;

Number of cats =  1 - 5/ 6 + 3

Number of cats = 1/ 6 + 3

Number of cats = 6 + 18 /6

Number of cats = 24/6 = 4

Thus, the number of cats the nemesis have is 4

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Answer:

Step-by-step explanation: