The correct answer is 5/7 and 5/4.
We have given that the expression
\(a. \frac{2}{7}+\frac{3}{7}\)
\(b. 2\times \frac{1}{4} +\frac{3}{4}\)
What is the dividando and componendo?Components and dividend is a theorem on proportions that allows for a quick way to perform calculations and reduce the number of expansions needed. It is particularly useful when dealing with equations involving fractions or rational functions in mathematical Olympiads, especially when you see fractions.
We have to determine the value of the given expression,
\(=\frac{2}{7}+\frac{3}{7} \\=\frac{5}{7}\)
Similarly, for the second equation, we get,
\(b. 2\times \frac{1}{4} +\frac{3}{4}\\=\frac{2}{4} +\frac{3}{4}\\=\frac{5}{4}\)
Therefore the correct answer is 5/7 and 5/4.
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simplify
6 ÷ 3 + 32 · 4 − 2
Answer:
128 <33
Step-by-step explanation:
6 ÷ 3 + 32 • 4 - 2 = 128
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(Will give brainliest answer) No Fake answers please
NEED HELP ASAP! SHOW SOLUTION AND EXPLANATION PLEASE!!
1. Find the volume of the solid that results when the region enclosed by the given curves = ^(−2x), = 0, = 0, and = 1 is revolved about the x-axis.
2. Find the volume of the solid that results when the region enclosed by the given curves = ^(−2x), = 0, = 0, and = 1 is revolved about the y-axis.
The volume of the solid that results when the region enclosed by the curves y = x^2, y = 0, x = 0, and x = 1 is revolved about the x-axis is (1/3)π.
The volume of the solid that results when the region enclosed by the curves y = x^2, y = 0, x = 0, and x = 1 is revolved about the y-axis is (1/15)π.
To find the volume of the solid of revolution, we need to use the formula V = ∫[a,b] π(f(x))^2 dx (revolving about the x-axis) or V = ∫[c,d] π(f(y))^2 dy (revolving about y-axis), where f(x) or f(y) represents the function that bounds the region. In this case, the function that bounds the region is y = x^2.
For part 1, we use the formula for revolving about the x-axis and integrate from 0 to 1:
V = ∫[0,1] π(x^2)^2 dx = (π/3) [x^5] from 0 to 1 = (1/3)π.
For part 2, we use the formula for revolving about the y-axis and integrate from 0 to 1:
V = ∫[0,1] π(y^(1/2))^2 dy = π ∫[0,1] y dy = (1/2)π [y^2] from 0 to 1 = (1/2)π.
However, this volume is for the region bounded by the curves y = x^2, x = 0, and y = 1, and not the full region. To find the volume of the full region, we need to subtract the volume of the region below the x-axis, which is also (1/2)π. Thus, the total volume is (1/2)π + (1/2)π/3 = (1/15)π.
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5. Evaluate the expression yz - Xw, if w = 2, x = 6, y = 4, and z = 5.
A. 14
B.22
C. -8
D. 8
QUICK PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!
How can you solve two-step inequalities?
Explain shortly.
To solve a two-step inequality, you can follow these steps:
Isolate the variable on one side of the inequality by performing the same operation on both sides of the inequality.
If the inequality is a "greater than" or "less than" inequality, you will need to reverse the inequality if you multiply or divide by a negative number.
Solve the inequality by isolating the variable.
Check your solution by plugging it back into the inequality and making sure it is true.
Graph the solution in number line
Example:
x + 2 > 6
x > 4
(x+2) > 6
x > 4 (by isolating x)
It is important to remember that if we multiply or divide by a negative number, we have to reverse the inequality sign.
It is also important to remember that after solving the inequality, it is necessary to check the solution by substituting it back into the original inequality to make sure it works.
2/5 of a number is -8 what is the number
Answer:
-20
Step-by-step explanation:
let x be the whole. 2/5 of x = -8 so -8 1/5 is -4. -4*5 to find the whole so its -20
Answer: The number is 35
If 2/5 of a number is 14, then we will perform a function of cross multiplication in order to determine the missing number.
Step-by-step explanation:
Let the missing number = y
To perform a cross multiplication, firstly, we multiply the numerator of first fraction by the denominator of the second fraction.
Secondly, we multiply the denominator of the first fraction by the numerator of the second fraction. Then, the resulting values are divided by each other to get a final numerical value.
Therefore, the missing number (y) will the denominator of the second fraction i.e. 14/y . The first fraction is 2/5.
Thus,
2/5 of 14/y
2/5= 14/y
(2 x y) = (5 x 14)
(2y) = (70)
2y = 70
Since we are looking for value of y, divide both sides by the value beside y
Thus,
2y/2 = 70/2
y = 35
Therefore, the missing number is 35
LEARN MORE:
2/5 of a number is 14. What's the number brainly.com/question/12161407
fraction brainly.com/question/6201432
KEYWORDS:
2/5 of a number is 14
fraction
cross multiplication
number
denominator
numerator
PLEASE HELP WILL GAVE BRAINLIEST AND 100 POINTS
Draw yourself a number line. Order the numbers from least to greatest: pi, -3, 49√
, 9√
Answer: -3, 9√, pi, 49√
Step-by-step explanation:
Having the check beside a number, ex: 49√, shows that something squared, in other words multiplied by itself, equals this. In this example it would be 7. For, 7*7=49. For 9√ it would be 3. Pi is 3.14. Listing these out we have:
-3, 3.14, 3, 7. Let's order this...
-3 is the least, then 3, then 3.14 (slightly bigger than 3), lastly, 7.
The length of the subway is 113 miles. if 4.1 inches represents 677 miles, what is the length of the subway on the map? Round your answer to the nearest
hundredth if needed.
Answer:
0.68 inches (nearest hundredth)
Step-by-step explanation:
First, find the length on the map that represents 1 mile of the subway.
677 miles ----- 4.1 inches
1 mile ----- 4.1 ÷ 677= 0.0060561 inches (5 s.f.)
Multiply both sides by 113:
113 miles ----- 113(0.0060561)= 0.68 inches (nearest hundredth)
Thus, the length of the subway on the map is 0.68 inches.
Amber and Jesse are each given a clue about a mystery number. Amber's clue says the sum of half a number and eighteen. Jesse's clue says the difference of eleven minus three times a number. If Amber and Jesse have the same mystery number, what is the mystery number? **Write the equation and solve for the variable.
Answer:
1/2x + 18 = 11 - 3x
Step-by-step explanation:
x = -2
ABCD is a parallelogram. m∠x = ° m∠y = ° m∠z = °
Answer:
m∠x = 63
m∠y = 45
m∠z = 72
Answer:
m∠x = 63
m∠y = 45
m∠z = 72
Step-by-step explanation:
plato
a cell phone company charges one $20 for the phone and then $35 a month for phone service another cell phone company charges 55 a month for phone service with a free phone after how many months will the phone services cost the same
Help please!
Carl’s transactions for a year are given in the table. His broker charged him $5 per trade. How much does Carl pay his broker? What is the final return after paying his broker’s fees?
Carl’s total brokerage fees were ($5, $15, $50) for the year. His final return for the year was ($2950, $2985, $2995) after deducting all fees but before paying taxes on the return.
Answer:
$15 and $2,985
Step-by-step explanation:
sorry to bother but can you help me with my math 31 - (-17) =?
Answer:
48
Step-by-step explanation:
31 - (-17)
31 + 17 = 48
-TheUnknownScientist
Differentiate the following function F(x)Ã gnments F(x)= (x5 -6x)2 jdy Plan A-¡ ii x-A>> X Li. adebooK hapter = (x^5 - 6x)^2
Differentiating F(x) gives 10\(x^{9}\) - 72\(x^{5}\) + 72\(x\).
Differentiation, also referred to as derivatives, determines the rate at which one variable changes in relation to another, in this case, f(x) in relation to x. Finding the greatest or minimum conditions, or the best solution, is possible through differentiation. There are certain fundamental guidelines for differentiating functions.
lf c is any real number and if f(x) = c for all x, then f ' (x) = 0 for all x . That is, the derivative of a constant function is the zero function.
Partial derivatives in calculus are derivatives of multivariate functions taken with respect to only one variable in the function, treating other variables as though they were constants.
F(x) = (\(x^{5}\) -6\(x\))²
= \(x^{10}\) -12\(x^{6}\) + 36\(x^{2}\)
dF(x)/dx = d( \(x^{10}\) -12\(x^{6}\) + 36\(x^{2}\) )/dx
= 10\(x^{9}\) -12 (6\(x^{5}\)) + 36(\(2x\))
= 10\(x^{9}\) - 72\(x^{5}\) + 72\(x\)
Thus, differentiating F(x) gives 10\(x^{9}\) - 72\(x^{5}\) + 72\(x\).
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Charlie is flying a kite one afternoon and steps on the end of the string to have his
hands free to take a picture. The string is 135 feet long and forms a 68-degree angle
with the ground. How high is his kite at this time? Round to the nearest foot and
enter the number only.
I need the answer quick please!
Answer:
125.1698 Ft
Step-by-step explanation:
The circle with the equation
(x-1)^2 + (y-k)^2 =50 passes through the point (2,3)
find the possible values for k
When a circle with the equation (x - 1)² + (y - k)² = 50 travels through the location (2,3), the possible values of k are -4 and 10.
what is circle ?A circle is created in the plane by each point that is a specific distance from another point (center). Thus, it is a curve made up of points that are separated from one another by a defined distance in the plane. Additionally, it is rotationally symmetric about the center at every angle. Every pair of points in a circle's closed, two-dimensional plane are evenly spaced apart from the "center." A circular symmetry line is made by drawing a line through the circle. Additionally, it is rotationally symmetric about the center at every angle.
given
The equation of a circle is (x - 1)² + (y - k)² = 50
The equation of the circle passes through the point (2, 3) = (x, y).
Now,
(2 - 1)² + (3 - k)² = 50
1 + (3 - k)² = 50
(3 - k)² = 50 - 1
3 - k = √49
3 - k = ±7
Now,
3 - k = 7
3 - 7 = k
k = -4
3 - k = -7
3 + 7 = k
k = 10
When a circle with the equation (x - 1)² + (y - k)² = 50 travels through the location (2,3), the possible values of k are -4 and 10.
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Can someone pls help me ASAPP
the answer is 48 square 72
Step-by-step explanation:
72+46=48square and 48square x 0
the melodic kortholt company will change its current health plan if at least half the employees are dissatisfied with it. a trial sample of 25 employees shows that 16 are dissatisfied. the p-value for a right-tailed test is:
The p-value for a right-tailed test is 0.0096.so the melodic kortholt company should consider changing its current health plan.the standard error for the proportion (SE = sqrt(0.64*(1-0.64)/25) = 0.144).
1. Calculate the proportion of employees dissatisfied (16/25 = 0.64).
2. Calculate the standard error for the proportion (SE = sqrt(0.64*(1-0.64)/25) = 0.144).
3. Calculate the z-score for the test (z = (0.64 - 0.5)/SE = 1.39).
4. Calculate the p-value (p-value = 1 - cdf(z) = 0.0096).
The p-value is an indication of how likely it is that the proportion of employees dissatisfied is significantly different from the expected proportion (in this case, half). The p-value of 0.0096 means that there is only a 0.96% chance that the observed proportion of employees dissatisfied is due to chance alone, and so the melodic kortholt company should consider changing its current health plan.
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Answer this in two minutes
Answer:
900
Step-by-step explanation:
a heptagon has 7 sides, so we take the hexagon's sum of interior angles an and add 180 to it's getting us, 720 + 180 = 900 degrees
Solve using the quadratic formula: 2x^2 + 7x - 5 = 0
Step-by-step explanation:
my answer is in the above image
Morgan ate 3/8 of a pizza. He gave Jahmeir the remainder. Jahmeir ate 1/3 and gave his dog the remainder. How much did his dog get
Answer:
7/24
Step-by-step explanation:
The fraction was left
1-3/8=5/8
5/8-1/3=7/24
So your answer is 7/24
Hope it helps :) And don't be afraid to give my answer a "Thanks"!
What is the slope of y=5/4x-7/4
The answer is:
5/4
Work/explanation:
Let's work out the slope of the line.
The equation is in y = mx + b form where m = slope; b = y intercept.
Similarly, in y=5/4x - 7/4, the slope is 5/4.
Hence, the answer is 5/4.A 17 ft ladder leans against the side of a house. The bottom of the ladder is 7 ft away from the side of the house. Find x, the angle of elevation of the ladder.
Round your answer to the nearest tenth of a degree.
help please! :(
The angle of elevation of the ladder is 65.7 degrees.
How to find the side of a right triangle?A 17 ft ladder leans against the side of a house.
The bottom of the ladder is 7 ft away from the side of the house.
Let's find the angle of elevation of the ladder.
Therefore, let's use trigonometric ratios,
Hence,
cos x = adjacent / hypotenuse
adjacent = 7 units
hypotenuse = 17 units
cos x = 7 / 17
x = cos⁻¹ 0.41176470588
x = 65.6842611987
x = 65.7 degrees
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Which of the following is a correct explanation for preferring the mean over the median as a measure of center?
Group of answer choices
1 The mean is more efficient than the median.
2 The mean is more sensitive to outliers than the median.
3 The mean is the same as the median for symmetric data.
4 The median is more efficient than the mean.
The correct explanation for preferring the mean over the median as a measure of center is option 3: The mean is the same as the median for symmetric data.
The mean over the median as a measure of center is that the mean takes into account all values in a data set, making it more representative of the data as a whole. On the other hand, the median only considers the middle value(s), and is less sensitive to outliers. This means that extreme values in a data set have less impact on the median than they do on the mean. However, if the data set is skewed or has outliers that significantly affect the mean, the median may be a better measure of central tendency. In summary, the choice between the mean and the median depends on the characteristics of the data set being analyzed and the research question being asked.
In symmetric data, the mean and median provide the same central value, giving an accurate representation of the data's center. However, it's important to note that the mean is more sensitive to outliers than the median, which might affect its accuracy in skewed data sets.
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The number 55 is attached to a two-digit number on its left, and the formed 4-digit number is divisible by 24. What could be the two-digit number? List all options.
Answer:
the answer will be 44 I think I hoped I helped if not sorry.
Step-by-step explanation:
An electrician charges $24 per hour and $36 for each hour of overtime. for a job, the electrician works 8 regular hours and overtime hours. he also charges $202 for materials. the total amount of the bill for the job is $538. how many overtime hours did the electrician work?
The number of overtime hours done by electrician, as found by unitary method, is 4.
What is unitary method?A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.
Now,
Given:
Charge per hour = $24Charge per overtime hour = $36Number of regular hours = 8Charge of materials = $202Total amount of bill = $538To find: Number of Overtime hours
FInding:
Let the number of overtime hours be 'x'.
By unitary method, Charge of 1 regular hour = $24
Charge of 8 regular hours = $24(8) = $192
Again, by unitary method, Charge of 1 overtime hour = $36
Charge of x overtime hours = $36(x)
Cost of Materials = $202
Now, total bill = sum of all the expenses
=> 538 = 192 + 36x + 202
=> 538 - 294 = 36x
=> 144 = 36x
=> 4 = x
Hence, the number of overtime hours as found by unitary method is 4.
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the heights, in inches, of orangutans are normally distributed with an unknown population mean. a random sample results in a 95% confidence interval of (52,58) inches. what is the correct interpretation of the 95% confidence interval? select the correct answer below: we estimate with 95% confidence that the sample mean is between 52 and 58 inches. we estimate that 95% of orangutans have a height between 52 and 58 inches. we estimate with 95% confidence that the true population mean is between 52 and 58 inches.
The correct interpretation of the 95% confidence interval is:
"We estimate with 95% confidence that the true population mean height of orangutans is between 52 and 58 inches."
What is statistics?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data. It involves the use of methods and techniques to gather, summarize, and draw conclusions from data.
The confidence interval provides a range of values within which the true population mean height is likely to fall with a 95% level of confidence. It does not provide information about individual orangutans' heights or the sample mean's precise location within the interval.
Therefore, The correct interpretation of the 95% confidence interval is:
"We estimate with 95% confidence that the true population mean height of orangutans is between 52 and 58 inches."
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Find the value of x.
(5x +13)
(4x+ 2)°
(2x -9)
Answer:
x = 20
Step-by-step explanation:
By exterior angle theorem, we have:
\((4x + 2) \degree + (2x - 9) \degree = (5x + 13) \degree \\ \\(4x + 2 + 2x - 9) \degree = (5x + 13) \degree\\ \\(6x - 7) \degree = (5x + 13) \degree \\ \\ 6x - 7 = 5x + 13 \\ \\ 6x - 5x = 13 + 7 \\ \\ x = 20\)
true or false: if you are given a graph with two shiftable lines, the correct answer will always require you to move both lines.
False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.
In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.
When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.
In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.
However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.
Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.
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If AABC AFDE, which of the following statements is true? O ZA ZE O
If ∆ABC and ∆FDE are congruent, then the correct statement among options is ∠C ≅ ∠E.
Congruent figures refers to the figures that can be superimposed on each other. This states that the angles and sides are similar for both the figures being compared. We are given that two triangles are congruent. Same will be true for their sides as well.
Thus, we can interpret that similar angles in the mentioned two triangles will be -
∠A ≅ ∠F
∠B ≅ ∠D
∠C ≅ ∠E
Similarly, the similar sides for both triangles will be -
AB ≅ FD
BC ≅ DE
AC ≅ FE
Therefore, in the congruent triangles ABC and FDE, ∠C and ∠E are congruent.
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Select all the expressions that are equivalent to 7x7^2
A. 7^2
B. 7^2/7
C. (7^3)^1
D. 1/7^3
The equivalent expression to 7×7² is C. (7³)¹.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
Given, An exponential expression 7×7².
Now, We know 7×7² = 7¹⁺² = 7³.
It can also be written as (7³)¹.
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