Write a multiplication equation that shows how the denominators of and are
related. Explain how this equation helps you write as an equivalent fraction with
a denominator of 4.

Answer:

0.48

Step-by-step explanation:

By the law of sines, the ratio of the sides of a triangle to the sine of the angles opposite the side must be the same

Therefore
[tex]\dfrac{EG}{\sin90} =\dfrac{ FG}{\sin E}\\\\\\\dfrac{\sqrt{69}}{\sin 90} = \dfrac{4}{\sin E}}\\\\\\\sin 90 = 1\\\\\dfrac{\sqrt{69}}{1} = \dfrac{4}{\sin E}\\\\\sqrt{69} = \dfrac{4}{\sin E}\\\\\sin E = \dfrac{4}{\sqrt{69}}\\\\\\= 0.481543\\\\= 0.48 \text{ rounded to the nearest hundredth}[/tex]

The correct option is (D) i.e. It took 15 gallons of water to fill the swimming pool.

What is Measurement?

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, volume, and many others. It is used to quantify and describe the properties of objects and phenomena in the natural world, as well as in many fields of science, engineering, commerce, and everyday life.

Measurements are typically made using standard units, such as meters for length, kilograms for mass, seconds for time, and so on.

We are given that, there are 3.8 liters in 1 gallon.

So, we can say that,

 1 gallon = 3.8 liters

Now, It took 57 liters of water to fill a small swimming pool

we can convert it into gallons as follows:

1 gallon = 3.8 liters

1 / 3.8 gallon = 1 liter

57 / 3.8 gallon = 57 liters

So, 57 liters = 15 gallons of water.

Hence, (d) is the correct option.

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Answer: a. To shift the graph of f(x) downward 5 units, we subtract 5 from the function: f(x) - 5. To shift it left 3 units, we replace x with x + 3: f(x + 3) - 5. To stretch it vertically by a factor of 4, we multiply the entire function by 4: 4[f(x + 3) - 5]. Finally, to reflect it about the x-axis, we take the negative of the function: -4[f(x + 3) - 5]. Therefore, the equation of the new function g(x) is:

g(x) = -4[1/2^(x+3) - 5]

b. To find the y-intercept, we set x = 0 in the equation of g(x):

g(0) = -4[1/2^(0+3) - 5] = -4[1/8 - 5] = -4[-39/8] = 195/2

Therefore, the y-intercept is (0, 195/2).

c. The domain of g(x) is all real numbers, since there are no restrictions on x.

d. To find the range of g(x), we first observe that the function is decreasing and asymptotic to y = -5 as x approaches infinity. This means that the range of g(x) is all real numbers less than or equal to -5.

Step-by-step explanation:

Cory's statement is correct. A Trapezoid cannot be Parallelogram.

A trapezium is a polygon with a single pair of parallel sides. Trapezoid parallel bases are another name for these parallel sides. The other two non-parallel sides are known as trapezoidal legs.

A parallelogram is a quadrilateral having two pairs of parallel sides. The length and size of a parallelogram's opposed sides and opposite angles are equal. Its inner angles add up to 360°.

According to the given information:

Randy's claim is that "all trapezoids are parallelograms." Nonetheless, Cory disagrees with the statement "A Trapezoid is not a Parallelogram."

Corey's assertion is correct.

Because a trapezium is a quadrilateral with exactly one set of parallel opposed sides.

A parallelogram is a quadrilateral having opposite pairs of sides that are parallel.

The trapezoid does not satisfy the parallelogram criterion. As a result, a trapezium cannot be a parallelogram.

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Answer:

Here, given

present population = 20000

according to question,

population gets double every 34 years

i.e P = 20000 × 2

= 40000

now,

P = 40000

T = 68-34 = 34

ie, again p is double

so, P = 40000×2

= 80000

Hence, the population after 68 years from now is 80000

Solution is in da attachment mate!! :D

Step-by-step explanation:

that is a college question ?

x = cost of a ham sandwich

y = cost of a turkey sandwich

2x + 3y = 29

3x + 2y = 31

let's multiply the first equation by 3, abd the second equating by -2, and then we add them :

6x + 9y = 87

-6x - 4y = -62

------------------------

0 5y = 25

y = 25/5 = $5

let's use the original first equation to get x (but we could use also the second equation, it does not matter).

2x + 3×5 = 29

2x + 15 = 29

2x = 14

x = $7

each ham sandwich costs $7.

each turkey sandwich costs $5.

Answer:

Roberto will pay a total of $525,654 for the house.

Answer:

±6

Step-by-step explanation:

To find the possible values of x for a point on the circle with equation x² + y² = 64, we can substitute the given y-coordinate of √28 into the equation and solve for x:

x² + (√28)² = 64

x² + 28 = 64

x² = 64 - 28

x² = 36

Taking the square root of both sides, we get:

x = ±6

Therefore, the possible values of x for a point on the circle with coordinates (x, √28) are x = 6 and x = -6.

Answer:

120km/h

Step-by-step explanation:

Distance=14km

Time       =7m

A driver was fined for speeding in 100km/h

∴ we convert time into hours

Time =(7/60)h

Average speed of the car = total distance ÷total time

                                           =14km×60/7h=120km/h which is greater than                          

                                                                                                        100km/h

The magnitude of the equilibrant force is 938.893 lb

We can use the concept of vector addition to solve this problem. The equilibrant force is the force that is needed to balance out the two given forces, so that the net force on the broken-down ship is zero.

Let's represent the two given forces as vectors A and B, with magnitudes of 750 lb and 630 lb, respectively. The angle between them is 34.5 degrees.

|C|^2 = |A|^2 + |B|^2 - 2|A||B|cosθ

where

θ is the angle between the two forces.

Substituting the given values, we get:

|C|^2 = (750 lb)^2 + (630 lb)^2 - 2(750 lb)(630 lb)cos(34.5°)

Simplifying this expression, we get:

|C|^2 = 562500 + 396900 - 945000 * cos(34.5°)

|C|^2 = 881520.0752

Taking the square root of both sides, we get:

|C| ≈ 938.893 lb

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Answer:

Step-by-step explanation:

Friday receipts:  [tex]235 \times 12[/tex]

Saturday receipts: [tex]260 \times 12[/tex]

Total [tex]=235 \times 12 + 260 \times 12[/tex]

         [tex]=12(235+260)[/tex]     (since 12 is a common factor in both expressions)

To find the total receipts in dollars for the two performances, you need to multiply the number of tickets sold by the price per ticket. The formula is: total receipts = (number of tickets sold) x (price per ticket). Based on this formula, which expression do you think is correct?

The correct expression would be: 12(235+260)

You can check your answer by simplifying the expression: 12(235+260) = 12(495) = 5940. The total receipts in dollars for the two performances are $5940.

// Hope this helped! //

The terms for the definitions are matched -

National markets - Statement 1

International markets - Statement 2

Interdependence - Statement 3

Goods and services - Statement 4

Globalization - Statement 5

What is interdependence?

Inter- is short for "between," hence interdependence is the dependence of two or more things. Interdependence is a common term used to characterize complicated systems. Couples become interdependent once they are married.

National markets: These are the places where goods and services are bought and sold within a single country.

These markets are the result of the development of transportation and communication technologies such as railroads and advertising.

International markets: These are the places where goods and services are bought and sold between countries.

These markets involve buyers in other countries, including consumers, producers, resellers, and governments.

The development of international markets is a result of globalization and the increasing interdependence of countries.

Interdependence: This refers to the relationship between countries in which they rely on one another for resources, goods, or services.

Interdependence is a result of the development of national and international markets and is a key feature of globalization.

Goods and services: These are the objects and actions that people value and produce to satisfy human wants.

Goods are physical products such as clothing, food, and cars, while services are non-physical products such as education, healthcare, and transportation.

Globalization: This refers to the process by which businesses or other organizations develop international influence or start operating on an international scale.

Globalization is a result of the development of national and international markets and involves the increasing interdependence of countries.

It has led to the growth of international trade, the spread of cultural values and ideas, and the development of global networks and technologies.

Therefore, the keywords are matched using the definition.

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Answer: The answer to this equation is In (252) + 5.

Step-by-step explanation:

To solve this equation, you will need to first apply the logarithm power identity.

Now evaluate the exponent.

5 + In (7) + In (6^2)

5 + In (7) + In (36)

Apply the logarithm power identity again to the rest of this equation.

5 + In (7) + In (36)

5 + In (7 x 36)

After that, simplify the expression.

-Multiply the numbers & rearrange the terms

5 + In(7 x 36)

In(252) + 5

Therefore, your answer for this equation would be In(252) + 5.

Alyssa Wagner

Middle School Srudent

In response to the question, we may say that  Hence, 2 131/200 is the decimal mixed number in its most basic form.

The decimal number system is frequently used to express both integer and non-integer quantities. Non-integer values have been added to the Hindu-Arabic numeral system. The technique used to represent numbers in the decimal system is known as decimal notation. A decimal number consists of both a whole number and a fractional number. The numerical value of complete and partially whole quantities is expressed using decimal numbers, which are in between integers. The full number and the fractional part of a decimal number are separated by a decimal point. The decimal point is the little dot that appears between whole numbers and fractions. An example of a decimal number is 25.5.

We must separate the whole number and fraction components of 2.655 in order to change it into a mixed number. The integer portion of the decimal, which is 2 in this instance, represents the full number.

We take the total number and divide it by the decimal to determine the fractional portion.

2.655 - 2 = 0.655

The combined number is therefore 2 and 655/1000.

By dividing the numerator and denominator by their largest common factor, we may reduce the fraction to its simplest form and so make it easier to understand. The highest common factor between 655 and 1000 in this instance is 5.

655 ÷ 5 = 131

1000 ÷ 5 = 200

Hence, 2 131/200 is the mixed number in its most basic form.

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The given equation has no solution.

What is a Quadratic equation?

A polynomial equation of the second degree, or a quadratic, must contain at least one squared term to be considered a quadratic. Equations using quadratics is another name for it. The quadratic equation has the following general form: ax2 + bx + c = 0, where x is an unknown variable and a, b, and c are numerical coefficients. A quadratic equation is one like x2 + 2x + 1 for instance.

Given equation:

4r² + 3r + 15 = 9

we can simplify it as :

4r² + 3r = 9 - 15

4r² + 3r = - 6

4r² + 3r + 6 = 0

Now, we will use Quadratic formula which is given by :

r = [ -b + √b² - 4ac ] / 2a

Substituting values as a = 4, b = 3 and 6.

we get,

r = [ -3 + √3² - 4(4)(6) ] / 2(4)

  = [ -3 + √(-87)]/8

since, its determinant (b² -4ac)  is negative, hence the given equation has no roots.

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a. P as a function of x is P(x) = 16x

b. A as a function of x is A(x) = 16x²

c. A as a function of P is A(P) = P²/16

d. P as a function of A is P(A) = 4√A

e. d as a function of x is d(x) = √2 4x

f. x as a function of d is x(d) = d/√2

g. P as a function of d is P(d) = 4d/√2

h. A as a function of d is A(d) = d²/2

A relationship between a collection of inputs-outputs is known as a function. Just one output is linked to each input in a function, which connects inputs.

Each function has a range, a co-domain, and a domain. A function is often written as f(x), where x stands for the input. y = f is a function's universal representation (x).

Here in the square,

Area = a²

= (4x) ²

=16x²

Perimeter = 4a

=4 × 4x

=16x

Diagonal = √2 a

= √2 4x

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Answer: Ax+By=C This is the formula

Answer:

the result of subtracting 1 and 1/2 from the sum of 4 and 2/3 and 5 and 2/5 is 257/30 = 8 and 39/40.

Step-by-step explanation:

To find the result of subtracting 1 and 1/2 from the sum of 4 and 2/3 and 5 and 2/5, we need to first add the two summands:

4 and 2/3 + 5 and 2/5

To add these mixed numbers, we first need to find a common denominator. The least common multiple of 3 and 5 is 15.

4 and 2/3 can be written as an improper fraction with denominator 3:

4 and 2/3 = 4 x 3/3 + 2/3 = 12/3 + 2/3 = 14/3

5 and 2/5 can be written as an improper fraction with denominator 5:

5 and 2/5 = 5 x 5/5 + 2/5 = 25/5 + 2/5 = 27/5

Now we can add the two fractions with a common denominator of 15:

14/3 + 27/5 = (14 x 5)/(3 x 5) + (27 x 3)/(5 x 3) = 70/15 + 81/15 = 151/15

So, the sum of 4 and 2/3 and 5 and 2/5 is 151/15.

Now we can subtract 1 and 1/2 from this sum:

151/15 - 1 1/2

To subtract mixed numbers, we first need to convert 1 and 1/2 to an improper fraction:

1 and 1/2 = 1 x 2/2 + 1/2 = 2/2 + 1/2 = 3/2

Now we can subtract the fractions with a common denominator of 15:

151/15 - 3/2 = (151 x 2)/(15 x 2) - (3 x 15)/(2 x 15) = 302/30 - 45/30 = 257/30

Therefore, the result of subtracting 1 and 1/2 from the sum of 4 and 2/3 and 5 and 2/5 is 257/30.

Answer:

g(f(-3)) = 6.

Step-by-step explanation:

To obtain the value of f(-3), we must first determine g(f(-3)), which requires changing x in the expression for f(x) to -3:

f(x) = 2x^2 + 9x - 1

f(-3) = 2(-3)^2 + 9(-3) (-3) - 1\s= 2(9) (9) - 27 - 1\s= 18 - 27 - 1\s= -10

Knowing that f(-3) = -10 allows us to replace it in the expression for g(x):

g(x) = -x - 4

g(f(-3)) = g(-10) (-10)

Now, if we replace x in g(x) with -10, we obtain:

g(f(-3)) = g(-10) = -(-10) (-10) - 4 = 10 - 4 = 6

Hence, g(f(-3)) = 6.

Answer:

g(f(-3))=6

Step-by-step explanation:

To calculate g(f(-3)), we must first determine the value of f(-3), and then we must insert that value into g(x) to obtain the result.

By adding x = -3 to the formula for f(x), we may obtain f(-3).

f(-3) = 2(-3)

² + 9(-3) - 1

f(-3) = 2(9) - 27 - 1

f(-3) = 18 - 28

f(-3) = -10

Knowing that f(-3) = -10 allows us to replace it in the formula for g(x):

g(f(-3)) = g(-10) = -(-10) (-10) - 4 = 10 - 4 = 6

Hence, g(f(-3)) = 6.

A)
i) the inequality to show the number of ballons that the dance committee can buy is: 0.80b + 65 ≤ 125

ii)  solving the inequality above, we arrive at b ≤ 75
B) The graph is attached accordingly.

C) See the description of the solution below.

Let's start by defining our variables. Let b be the number of balloons that the dance committee could buy.

The cost of b balloons is $0.80b. We want to make sure that the cost of the balloons plus the amount already spent on decorations ($65) is less than or equal to the budget of $125. So we can write the following inequality:

0.80b + 65 ≤ 125

Now we can solve for b:

0.80b + 65 ≤ 125

0.80b ≤ 125 - 65

0.80b ≤ 60

b ≤ 75

Therefore, the dance committee can buy up to 75 balloons to stay within their budget.

To graph the solution set, we can plot b on the horizontal axis and shade the region to the left of b = 75, since b must be less than or equal to 75.

The solution set represents all possible values of b that satisfy the inequality. In this case, the solution set is b ≤ 75, which means that the dance committee can buy up to 75 balloons and still stay within their budget.

As the number of balloons increases, the cost of the balloons also increases, and the amount of money left in the budget decreases.

Therefore, the more balloons the dance committee buys, the less money they will have left for other decorations or expenses.

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Full Question:


Since the above question is incomplete, it appears you are referring to the question below.


The dance committee has a budget of $125 to decorate the gym for a spring dance. They already spent $65. Some members want to buy helium balloons that cost $0.80 each.

A) Write and solve an inequality to show the number of balloons that the dance committee could buy.

B) Graph the solution set for the inequality.
C) Describe what the solution means and how the number of balloons affects the amount in the budget.

Answer:

Based on the given information, it is most likely that Elie is angry at God. Throughout the story, Elie witnesses the atrocities of the Holocaust and the brutal treatment of Jews, which challenges his faith in God. He struggles to reconcile the suffering he sees with the idea of a just and loving God. Elie's anger towards God is evident in several instances, such as when he witnesses the hanging of a young boy and questions how God could allow such cruelty to happen. Additionally, he feels that God has abandoned him and his fellow prisoners, particularly when he is forced to watch the slow death of his father. Overall, Elie's emotional feeling about God is one of anger and disillusionment.

The phrase "hardest colour to hold" from Robert Frost's poem "Nothing Gold Can Stay," is the line that the poet uses to best encapsulate his  thoughtfulness and sadness. The Option A is correct

These lines convey a message that goodness and beauty are transient and challenging to cling onto. As the reader considers the fleeting nature of life and the transitory nature of the things we hold dear, this concept may cause them to feel melancholy and reflective.

Although phrases such as "just so an hour," "early leaf's a flower," and "first green is gold" also emphasized an impermanence and fleetingness, but the phrase "hardest colour to hold" makes this point the most strongly.

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the value of 0.45 × 0.91 ÷ 0.0117 is 35.

Why it is and what is PEMDAS?

To find the value of 0.45 * 0.91 ÷ 0.0117, we can use the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

First, we need to perform the multiplication of 0.45 and 0.91:

0.45 ×0.91 = 0.4095

Then, we need to divide the result by 0.0117:

0.4095 ÷ 0.0117 = 35

Therefore, the value of 0.45 * 0.91 ÷ 0.0117 is 35.

PEMDAS is a mnemonic used to remember the order of operations in arithmetic and algebraic expressions. It stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.

The order of operations is as follows:

Parentheses: Perform operations within parentheses first, working from the innermost set of parentheses to the outermost.

Exponents: Perform any calculations involving exponents, such as raising a number to a power or taking the square root.

Multiplication and Division: Perform multiplication and division in the order that they appear from left to right.

Addition and Subtraction: Perform addition and subtraction in the order that they appear from left to right.

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If the temperature is read every 12 hours, then the eighth temperature reading will be taken at 11.15 pm three days after the first reading.

Temperature is a measure of the degree of hotness or coldness of a substance or object, typically measured using a thermometer in degrees Celsius or Fahrenheit.

If the temperature is read every 12 hours, then the time interval between two consecutive temperature readings is 12 hours.

To find the time of the eighth temperature reading, we need to add 12 hours for each of the previous seven temperature readings:

First reading: 11.15 am

Second reading: 11.15 am + 12 hours = 11.15 pm

Third reading: 11.15 pm + 12 hours = 11.15 am (next day)

Fourth reading: 11.15 am (next day) + 12 hours = 11.15 pm (next day)

Fifth reading: 11.15 pm (next day) + 12 hours = 11.15 am (two days after the first reading)

Sixth reading: 11.15 am (two days after the first reading) + 12 hours = 11.15 pm (two days after the first reading)

Seventh reading: 11.15 pm (two days after the first reading) + 12 hours = 11.15 am (three days after the first reading)

Eighth reading: 11.15 am (three days after the first reading) + 12 hours =

11.15 pm (three days after the first reading)

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Answer:

A maybe

Step-by-step explanation: sorry if wrong

a. There are three N's in PENNSYLVANIA. The probability of choosing an N can be calculated as follows:

Probability of choosing an N = (Number of N's in the word) / (Total number of letters in the word)

Probability of choosing an N = 3 / 12

Probability of choosing an N = 1 / 4

Therefore, the probability of choosing an N is 1/4.

b. There are two A's in PENNSYLVANIA. The probability of choosing an A can be calculated as follows:

Probability of choosing an A = (Number of A's in the word) / (Total number of letters in the word)

Probability of choosing an A = 2 / 12

Probability of choosing an A = 1 / 6

Therefore, the probability of choosing an A is 1/6.

c. There is only one E in PENNSYLVANIA. The probability of choosing an E can be calculated as follows:

Probability of choosing an E = (Number of E's in the word) / (Total number of letters in the word)

Probability of choosing an E = 1 / 12

Therefore, the probability of choosing an E is 1/12.

The correct option is (a) ŷ = -1.34x+21.5 , that is the best model to fit the scatter plot.

A scatter plot (or scatter chart, scatter graph) uses dots to represent values for two(2) different numeric variables. The position of each dot on horizontal and vertical axis indicates values for an individual data point.

The model of the equation best for the plot is,

ŷ = -1.34x+21.5

At point (1,20),

ŷ  = -1.34x+21.5

20 = (-1.34 ×  1) + 21.5

20 ≈ 20.15

At point (3,19),

ŷ = -1.34x+21.5

19 = (-1.34 × 3) + 21.5

19 ≈17.45

At point (5,15),

ŷ = -1.34x+21.5

15 = (-1.34 × 5) + 21.5

15 ≈ 14.75

The model ŷ = -1.34x+21.5   is giving the best estimation.

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1. 18

2. 26

3. 25

1. 3×5+3= 18

2. 4×5+2×3= 26

3. 5×5+3×3-9= 25

When a number and letter are next to each other mean multiply (Example)

5a = 5×a

This problem involves finding the probability of an event (a student being absent) given that another event has already occurred (today is Friday). This is an example of conditional probability.

Therefore, the correct answer is A) conditional probability.

Answer:

A.

Step-by-step explanation:

This is a conditional probability. None of the other choices make sense, but the most distinct word is "given". This is a sure sign of a conditional probability, or Bayes Theorem. The condition A is that it is Friday. Event B is that a student is absent. P (A|B)