The result = 2/ (x-4) is obtained by simplifying the provided equation (2/x)/(1-4/x)
What is meant by fraction?A fraction represents a component of a whole or, more generally, any number of equal parts. As in one-half, eight-fifths, and three-quarters, a fraction in conversational English denotes the number of components of a specific size.A portion of something is called a fraction. When the numerator and denominator are split, a number is represented mathematically as a quotient. In a simple fraction, both are integers.A complicated fraction contains a fraction in either the numerator or denominator. Any fraction that is right has a numerator that is less than its denominator. In mathematics, there are three primary fraction types.There are three types of them: mixed fractions, improper fractions, and proper fractions. Fractions are terms with a numerator and a denominator.Given,
[tex]$\frac{\frac{2}{x}}{1-\frac{4}{x}}[/tex]
Use the fractional rule : [tex]$\frac{\frac{a}{b}}{c}=\frac{a}{b \cdot c}$[/tex]
[tex]$=\frac{2}{x\left(1-\frac{4}{x}\right)}[/tex]
Simplify [tex]$x\left(1-\frac{4}{x}\right): \quad x-4$[/tex]
Then we get,
[tex]$=\frac{2}{x-4}[/tex]
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Consider a situation that you might need to use your understanding of probability to make an informed decision.
What sorts of information would you collect?
How might you use what you have learned about probability to determine a course of action?
What are the possible benefits and limitations of this approach?
The information that we collects while finding probability is given below.
What is probability?
Probability denotes the likelihood of something happening. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of occurrences occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also utilized in the probability distribution. To determine the likelihood of a particular event occurring, we must first determine the total number of possibilities.
Now,
Information that we need while calculating probability is :
Determine a single event with a single outcome .Identify the total number of outcomes that can occur.Divide the number of events by the number of possible outcomes.Information needed to find the probability of multiple events
Determine each event you will calculate.Calculate the probability of each event.Multiply all probabilities together.To know more about probability visit the link
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Which polygon is a convex heptagon?
Answer:
For a heptagon or other polygon to be classified as convex, the interior angles must total less than 180°. Any ordinary heptagon could be classified as a convex heptagon.
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help meeeeeeeeeee!!! pleaseeee
Answer:
1/216
Step-by-step explanation:
(1/6)^3 is equal to 1/6 x 1/6 x 1/6 which is equal to 1x1x1/6x6x6.
You can simplify that, 1x1x1=1 and 6x6=36 and 36x6 is 216.
Therefore, the answer is 1/216.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{(\dfrac{1}{6})^3}[/tex]
[tex]\mathsf{= \dfrac{1}{6}\times\dfrac{1}{6}\times\dfrac{1}{6}}[/tex]
[tex]\mathsf{= \dfrac{1\times1\times1}{6\times6\times6}}[/tex]
[tex]\mathsf{= \dfrac{1\times1}{36\times6}}[/tex]
[tex]\mathsf{= \dfrac{1}{216}}[/tex]
[tex]\huge\text{Therefore your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{1}{216}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Translate the following sentence into and algebraic inequality
The quotient of a number, x, and nine is less than eight more than the product of five and the same number x
the answer is
x/9 < 8 + 5x
Please help me solve this
Extra points
the angle of elevation to the top of a building in new york is found to be 5 degrees from the ground at a distance of 2 miles from the base of the building. using this information, find the height of the building in feet. (hint: 1 mile
The height of the building will be 897.6 feet if the angle of elevation is 5 degree and distance is 2 miles.
The height, length of angle of elevation and the base of the triangle will form the right angled triangle. Thus, to find the height, we will use the formula -
tan theta = perpendicular ÷ base, where theta is the angle of elevation.
Now, keep the values in formula to find the height of the building.
height = tan 5 × 2
Keep the value of angle
height = 0.087 × 2
Performing multiplication on Right Hand Side of the equation
height = 0.17 mile
As per the known information, 1 mile = 5280 feet
So, 0.17 mile = 897.6 feet
Thus, the height of building is 897.6 feet.
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whitch figure is showig a ray
Answer: D.
Step-by-step explanation: It is a figure with no height or length, and it has indefinite length. Two rays are needed to make an angle.
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HELP PLEASEEE!!!
The chef at a school cafetería asked 100 male and 100 female students whether they like peas. 58 or the makes said they like peas. 64 of the females said they dislike peas. Which two way table correctly shows these results ?
Salut/Hello!
Answer: D
Step-by-step explanation:
Total of male students: 100
Male students that like peas: 58
Male students that dislike peas: 100 - 58 = 42
Total of female students: 100
Female students that dislike peas: 64
Female students that like peas: 100 - 64 = 36
Total of people that like peas: 58 + 36 = 94
Total of people that dislike peas: 42 + 64 = 106
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Which point best approximates the location of 78√?
point B
point A
point D
point C
The point that best approximates the square root of 78 is a point that is between 8 and 9.
How to estimate a non-exact square root?The estimate of a non-exact square root of x is done finding these two numbers listed as follows:
The greatest number less than x that is a perfect square(i.e., it has an exact square root), which we call a.The smallest number greater than x that is a perfect square(i.e., it has an exact square root), which we call b.For this problem, we have that these two parameters are given as follows:
8² = 64 < 78.9² = 81 > 78.Hence the point that best approximates the location of the square root of 78 is a point between 8 and 9.
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look at the image and find the answer
The value of length x is 9 units.
The value of length y is 6 units.
What are the values of x and y?
The value of length x and length y is calculated by applying congruency theory as shown below.
side of the triangle with length 12 ≡ x
side of the triangle with length 8 ≡ 6
x / 6 = 12 / 8
x = ( 6 ) x ( 12 / 8 )
x = 9
The length of side y is calculated as follows;
h / 3 = 4 / 6
h = 3 ( 4/6 )
h = 2
y = 4 + 2 = 6
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Help this is urgent!!
The derivative of the function is f'(s) = 9s^2 + 2 and the values are 146 and 11
How to determine the derivative of the functionsFrom the question, we have the following parameters that can be used in our computation:
f(s) = 3s^3 + 2s
Differentiate the function
So, we have
f'(s) = 9s^2 + 2
When the values are evaluated, we have
f(-4) = 9(-4)^2 + 2 = 146
f(-1) = 9(-1)^2 + 2 = 11
Hence, the values are 146 and 11
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tumor is injected with 0.92
grams of Iodine-125. After 1 day, the amount of Iodine-125 has decreased by 1.15%
.
Write an exponential decay model with A(t)
representing the amount of Iodine-125 remaining in the tumor after t
days. Enclose arguments of the function in parentheses and include a multiplication sign between terms. For example, c*ln(t)
.
Then use the formula for A(t)
to find the amount of Iodine-125 that would remain in the tumor after 8.5
days. Round your answer to the nearest thousandth (3 decimal places) of a gram.
Answer:
A(t) = 0.92e^(-0.0115t)
The amount of Iodine-125 that would remain in the tumor after 8.5 days is 0.58 grams.
Step-by-step explanation:
A(t) = 0.92e^(-0.0115t)
To find the amount of Iodine-125 that would remain in the tumor after 8.5 days, we can plug in 8.5 for t in the exponential decay model:
A(8.5) = 0.92e^(-0.0115 * 8.5) = 0.92e^(-0.097875) = 0.92 * 0.9079 = 0.832
So, the amount of Iodine-125 that would remain in the tumor after 8.5 days is approximately 0.832 grams.
HELP I NEED ANSWER ASAP
The rule that best describes the dilation of triangle ABC to create triangle A'B'C' is given as follows:
a. (x,y) -> (2x, 2y).
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
Considering a scale factor of k, the rule is given as follows:
(x,y) -> (kx, ky).
The scale factor for this problem is given as follows:
k = 2.
(as the larger triangle is formed as a dilation of the smaller triangle).
Hence the rule is given as follows:
(x,y) -> (2x, 2y).
Meaning that the correct option is given by option A.
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Can anyone help? Currently stuck with this problem
A rectangle has width 4.1 and height 3.9 . What is the percentage error if an approximate value of 4 × 4 = 16 is used for the area of this rectangle?
Answer:
0.06254%
Step-by-step explanation:
You want the percentage error in using 4·4=16 as an estimate for the area of a rectangle that is 4.1 by 3.9.
Percentage errorThe percentage error is found using the formula ...
percent error = (estimate - actual)/actual × 100%
percent error = (16 -(4.1×3.9))/(4.1×3.9) × 100%
= (16 -15.99)/15.99 × 100% ≈ 0.06254%
Answer: The actual area of the rectangle is 4.1 * 3.9 = 16.09. The percentage error is calculated as follows:
(|actual value - approximate value| / actual value) * 100% = (|16.09 - 16| / 16.09) * 100% = 0.57%
So, the percentage error is 0.57%.
Step-by-step explanation:
Use +, -, x and to write an equation which gives an answer of 7. Put in brackets if necessary. 4( )4( )4( )4( )4=7
PLEASE HELP
(10 points)
The equation that gives the answer as 7 is 4 (×) 4 (-) 4 (÷) 4 = 7.
What are mathematical operations?Subtraction and Addition
Many problems in everyday life can be resolved using addition and subtraction. Simply said, the mathematical terminology for "combining" and "taking away" are addition and subtraction. When we combine or increase, we are adding. We take away or decrease when we subtract.
Multiplication is another operation that shares the commutative characteristic. Similar to addition and subtraction, multiplication and division have opposing purposes. While division is intended to demonstrate the dividing or subdividing of a value into smaller groups, multiplication serves the purpose of representing numerous groups of a single value.
4 (×) 4 (-) 4 (÷) 4 = 7
Hence, the equation that gives the answer as 7 is 4 (×) 4 (-) 4 (÷) 4 = 7.
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A clock lost 2 minutes and 36 seconds in 78 days. How many seconds did it loose per day?
Answer: 2
Because with your Hint all you had to do was solve the problem and you should have gotten 2 soooo, the day lost 2 seconds per day.
Answer:
the clock lost 2 seconds per day
A triangle has a 60° angle, and the two adjacent sides are 12 and "12 times the square root of 3". Find the radius of a circle with the same vertex as a center, if the arc in the triangle bisects the area of the triangle.
Answer:
To calculate the radius of the circle, you need to use the Law of Sines. The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is the same for all three sides of the triangle. Therefore, in your triangle, the ratio of the length of the side opposite the 60° angle to the sine of the 60° angle is the same as the ratio of the length of the other two sides to their respective sines.
Let's call the two adjacent sides of the triangle a and b, respectively. The Law of Sines states that:
a/sin(60°) = b/sin(30°)
The length of side a is 12, and the length of side b is 12 times the square root of 3. This means that:
12/sin(60°) = (12√3)/sin(30°)
We can rearrange this equation to calculate the radius of the circle:
r = 12 * sin(30°) / sin(60°)
This gives us a radius of 12√3.
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3. i just graduated from school with $25,000 worth of debt. i want to know what my monthly payment is going to be. i was able to finance it over 7 years at 6%.
If i just graduated from school with $25,000 worth of debt. The monthly payment if you were able to finance it over 7 years at 6% is: $359.44.
How to find the monthly payment?Using the loan payment formula to find the monthly payment
Payment = Loan Amount× (Interest Rate / 12) / (1 - (1 + (Interest Rate / 12))^- (Number of Payments))
Plugging in the values:
Payment = $25,000× (0.06 / 12) / (1 - (1 + (0.06 / 12))^- (12 × 7))
Payment = $359.44
Therefore the monthly payment is $359.44.
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Please help me with this
Extra points n
The Equation for the phrase is 2(x + 9) = x/2.
What is the equation?
An equation is a mathematical statement having two algebraic expressions each side of the "equal to (=)" sign. It shows that the expressions written on the left and right sides have an equal relationship. Any mathematical equation is not one if its statement has no "equal to" symbol. It will be considered as a phrase.
Given the expression 9 is half a number and two times the sum of a number,
The phrase begins, "two times the number and nine,"
The equation will be if the number is x.
2(x + 9)
The second phrase is only half as many as the first.
x/2
resulting equation is
2(x + 9) = x/2
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Please help me with this question.
We can see here that using a property of equality, we have:
The teacher's requirement that x be on the left side of the equals sign in the answer 5=x supported by mathematical principles. According to the symmetric property of equality, x = 5 equals x = 5, If x=5 equals 5 = x, so the two forms are equivalent.
What is property of equality?The properties of equality are mathematical rules that apply to any equation of the form a = b. There are several properties, including:
Reflexive property: a = a for any value of a.Symmetric property: if a = b, then b = a.Transitive property: if a = b and b = c, then a = c.Additive property: if a = b, then a + c = b + c.Multiplicative property: if a = b, then a * c = b * c.These properties allow us to manipulate and simplify equations, and to determine if two equations represent the same relationship between variables.
According to the Symmetric property of equality, x = 5 is equal to 5 = x. This property states that for any equation a = b, both sides can be exchanged to form the equation b = a. In this case, exchanging the sides of the equation x = 5 results in 5 = x, showing that both forms represent the same mathematical relationship.
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Define random error. Define random error. Random error has values that are consistent with one another. Random error has no probability of being too high or too low. Random error is an error that tends to be either too high or too low. Random error has an equal probability of being too high or too low. Random error has values that are close to the true value.
Define random error: B) Random error is an error that tends to be either too high or too low.
WHAT IS RANDOM ERRORRandom error, is an error caused by factors that cannot be predicted, you could even say that these factors seem temporary.
So, it is very difficult to predict, because it is still random. One might even say, this random error occurred, while the test was being conducted. Even worse, random errors do not have to occur in the first test, it could be in the second or third test and so on.
Random error is a very small and dissimilar effect in each test implementation, for example the effect of fluctuations in the voltage, temperature or humidity conditions of the accommodation and test environment.
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Question 3
Elias ordered 6 books online for a total of $105. Each book cost the same. He applied a
$2 discount per book. What was the original cost of each book?
Let d represent the cost of each book, in dollars. Fill in the blanks to create an equation
to solve the problem:
(d-
The cost of each book was $
When purchasing 6 books online for a total of $105 and each costing the same, the starting cost of a book is $19.5.
what is unitary method ?The component technique is a way of problem-solving where you first calculate the cost of a single component, then multiply that value to get the answer. Simply expressed, a single product value is extracted from a specified multiple using the unit method. For instance, 40 pens will set you back 400 rupees, or $1.01. The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and counterpart are equivalent. (Linear Algebra, Academic Analysis, Mathematics of Matrix or Operators)
given
Step: Since the cost of all six books is $105 and they are all the same price. she paid $17.5 for each book, making
Therefore, the price she paid for the book was 17.5 + $2, which is its original price of 107 / 6 = 17.5.
When purchasing 6 books online for a total of $105 and each costing the same, the starting cost of a book is $19.5.
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Answer:
Step-by-step explanation:
u need to explain more to the question
the following are final scores of an algebra class of 20 students in a high school: 79 74 42 88 81 64 98 78 85 53 77 66 76 52 80 60 77 90 86 77 find the q1 using r.
The first quartile of the final scores of an algebra class of 20 students is 65.5.
Given, the final scores of an algebra class of 20 students in a high school: 79 74 42 88 81 64 98 78 85 53 77 66 76 52 80 60 77 90 86 77.
We know that Q1 means the first quartile is called the .25 quartile and for n data points, there will be p quantiles which will occur at the position 1+(n−1)p ( p represents the quartile)
Here the sorted data is
42 52 53 60 64 66 74 76 77 77 77 78 79 80 81 85 86 88 90 98
Q1 position = 1+(n-1)p = 1+(20-1)(0.25) = 5.75
This is 3/4 of the way between the 5th and 6th number which is
= 64 + .75*(66-64)
= 65.5
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A book Thandi is reading features totem poles from two regions in the Pacific Northwest.
The two-way table shows some of the animals carved in the totem poles and the
regions where the totem poles are located.
Thandi states that 20% of Alaskan totem poles featured in the book have eagles carved
in them. Use the drop-down menus to explain and correct Thandi's error.
Alaska
British
Columbia
Total
Eagle
5
7
12
Totem Poles
Y
Bear
3
2
5
Wolf
2
6
8
Click the arrows to choose an answer from each menu.
Thandi may have found the percent of the total totem poles that
have eagles and are in Alaska
eagles carved in them is Choose....
Total
10
15
25
The actual percent of Alaskan totem poles that have
According to the information in the graph, it can be inferred that Thandi is wrong because the eagle totems are not equivalent to 20% of the totems in Alaska.
How to find Thandi's error?To find the Thandi error we must perform the following mathematical operation.
5 + 3 + 2 + 10 = 20
20 / 100 = 0.2
0.2 * 20 = 4
According to the above, it can be inferred that the 5 totems represent more than 20% of the totems in Alaska, since 20% is equivalent to 4 totems. Actually, the 5 totems represent 25%.
Note: This question is incomplete. Here is the complete information:
graph attached
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Amber wrapped a gift for her daughter. The gift is shapped like a rectangular prism. Its base measures 9 inches by 0.5 feet. Part A: Amberly used exactly 408 square inches of paper to wrap the gift. Explain how tall the gift is assuming the paper does not overlap
Answer:
The gift is 4.5 feet tall, since 408 square inches is equal to a rectangular prism with dimensions of 9 inches by 0.5 feet by 4.5 feet.
Step-by-step explanation:
Write equations for the horizontal and vertical lines passing through the point (6, 1).
horizontal line:
vertical line:
Answer:
horizontal y=1
vertical x=6
Answer:
see below
Step-by-step explanation:
horizontal line:y=1 cause on this line y is always 1 regardless what x is
vertical line: x=6 cause on this line x is always 6 regardless what y is
1. What are the horizontal shift and vertical shift for the function below? Use complete sentences and explain your reasoning.
Answer:
Below
Step-by-step explanation:
The horizontal shift is 2 units to the LEFT because of the +2 added to x
The vertical shift is 3 DOWNWARD due to subtraction 3 from the first portion of the function.
18. The numbers 1, 4, 9, 16, 25, 36...... are examples of ________________________
Step-by-step explanation:
squared numbers.
1 = 1² = 1×1
4 = 2² = 2×2
9 = 3² = 3×3
16 = 4² = 4×4
25 = 5² = 5×5
36 = 6² = 6×6
What is the measure of Arc CB?
84
60
90
67
Answer:
60°.
Step-by-step explanation:
1. DB is diametre, then
2. m∠BCD=90°, then
3. m∠BDC=m∠BCD-m∠CBD=90-60=30°, then
4. finally, Arc(CB)=2*m∠BDC=60°.