The process of solving a proportion is given below.
We are given that;
To show the process of solving a proportion
Now,
A proportion is an equation that states that two ratios are equal. For example, if we have 2 4 = 3 6\({\\displaystyle {\\frac {2} {4}}= {\\frac {3} {6}}}\) , then we have a proportion.
To solve a proportion, we need to find the value of a missing term that makes the equation true. There are different methods to solve a proportion, but one common method is cross-multiplication. Here are the steps to solve a proportion by cross-multiplication:
Multiply the numerator of one ratio by the denominator of the other ratio.
For example, if we have 2 4 = x 6
\({\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}\) , then we multiply 2 by 6 and get 12.
Multiply the denominator of the first ratio by the numerator of the second ratio.
For example, if we have 2 4 = x 6
\({\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}\) , then we multiply 4 by x and get 4x.
Set the two products equal to each other. For example,
if we have \(2 4 = x 6 {\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}\), then we set 12 = 4x.
Solve for the missing term. For example, if we have 12 = 4x, then we divide both sides by 4 and get x = 3.
Check your answer by plugging it back into the original proportion.
For example, if we have x = 3, then we plug it back into 2 4 = x 6 \({\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}\) and get 2 4 = 3 6
\({\\displaystyle {\\frac {2} {4}}= {\\frac {3} {6}}}\) , which is true.
Therefore, by proportion answer will be given below.
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A media personality argues that global temperatures are not rising because every year an increase is reported such as 0.09 degrees Celsius. The difference from the previous year is less than the margin of error of about 0.13 degrees C, so that difference should be ignored. What is the best counterargument?
The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:
1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.
2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.
3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.
In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.
HEALTH B. Write T if the statement is true; and write F if the statement is false.
1. Teaching is a job for both men and women.
2. It is just okay for men to cry in public.
3. It is a responsibility for both parents to take care of their children.
4. An adult woman cannot do a man's work.
5. Doing household chores is a responsibility of both parents.
6. Social self is the major aspect of personality.
7. The process of sexual development is a continuous process throughout lifetime.
8. To promote wholesome family and interpersonal relationship is the ultimate goal of gender and sexual
education
9. Ethical self is the way you value relationship.
10. The way you think as a man or as a woman is about mental self.
#Need Help
Answer:
1.T
3.T
4.F
5.T
Step-by-step explanation
hope this helps
ALGEBRA 1 HW!! PLEASE HELP I WILL GIVE BRAINLYEST and also explain what explicit rule is..
6.1 Define the term inflation.
Answer:
the action of inflating something or the condition of being inflated.
"the inflation of a balloon"
ASTRONOMY
(in some theories of cosmology) a very brief exponential expansion of the universe postulated to have interrupted the standard linear expansion shortly after the Big Bang.
2.
ECONOMICS
a general increase in prices and fall in the purchasing value of money.
"policies aimed at controlling inflation"
The Carousel on the National Mall has 4 rings of horses. Kiran is riding on the inner ring, which has a radius of 9 feet. Mai is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is.
One rotation of the carousel takes 12 seconds. How much faster does Mai travel than Kiran? (Round to the nearest tenth)
Mai travels abοut 4.2 feet per secοnd faster than Kiran.
What is circumference?Circumference is the distance arοund the οutside οf a circle. It is the length οf the bοundary that enclοses a circle. Tο find the circumference οf a circle, yοu can use the fοrmula C=2πr, where "C" represents the circumference, "π" is a mathematical cοnstant (apprοximately equal tο 3.14159), and "r" is the radius οf the circle (the distance frοm the center οf the circle tο its edge). Sο, the circumference οf a circle is directly prοpοrtiοnal tο its radius. This means that if yοu dοuble the radius οf a circle, its circumference will alsο dοuble.
The circumference οf Kiran's ring is:
C1 = 2πr1 = 2π(9 ft) ≈ 56.55 ft
The circumference οf Mai's ring is:
C2 = 2πr2 = 2π(r1 + 8 ft) = 2π(17 ft) ≈ 106.81 ft
Therefοre, Mai travels a distance οf 106.81 - 56.55 = 50.26 feet mοre than Kiran in οne rοtatiοn.
The time it takes fοr οne rοtatiοn is given as 12 secοnds. Therefοre, the speed οf Kiran in feet per secοnd is:
V1 = C1 / t = 56.55 ft / 12 s ≈ 4.71 ft/s
And the speed οf Mai in feet per secοnd is:
V2 = C2 / t = 106.81 ft / 12 s ≈ 8.90 ft/s
The difference in their speeds is:
V2 - V1 = 8.90 ft/s - 4.71 ft/s ≈ 4.2 ft/s
Therefοre, Mai travels abοut 4.2 feet per secοnd faster than Kiran.
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What can you use to find how many centimeters are in 0.24 meters
Answer:
go0gle, just look it up
Step-by-step explanation:
(x²-1)³ with Identities how much it is and also explain plzzzz
Answer:
use identity (a - b) ^3 = a^3 - b^3 - 3ab (a - b)
here, a = x ^2
b = -1
= (x^2)^3 - (-1)^3 - 3 * x ^2 * -1 ( x^2 - (-1) )
x^6+ 3 x^2 ( x ^2 + 1)
I think this is the answer
answerr
maybe it is right
Assume that you have a total of 14 people on the board: 5 out-of-state seniors, 3 in-state seniors, 1 out-of-state non-senior, and 5 in-state non-seniors. University rules require that at least one in-state student and at least one senior hold one of the three offices. Note that if individuals change offices, then a different selection exists. In how many ways can the officers be chosen while still conforming to University rules?
Answer:
The appropriate solution is "570". The further explanation is given below
Step-by-step explanation:
There's a whole average of 14 committee members of trustees, including 5 out-of-state leaders, 5 in-state senior citizens, 1 out-of-state semi-senior, and 3 semi-senior in-state elderly. Out of those 14 members, 3 members must be chosen. According to the required specifications, the 3 members chosen should also include at least a single in-state member as well as at least 1 longtime leader.We may establish the executive committee in two distinct ways, in compliance with us even. One is about choosing the in-state participant from either the five seniors throughout the state, which follows the university's two requirements. As well as the other option is to choose an in-state participant from either the three non-senior in-state students.The 2nd incarnation should also be chosen from either the 5 out-of-state leaders throughout the second scenario. Across each circumstance, we can determine the multitude of scenarios, and afterward, the amount of the two can provide the maximum range of things the board can indeed be chosen.(1)
Choosing the right 1 member out of 5 seniors throughout the state.
The remaining 2 candidates would be chosen from some of the other 13 committee members within a week of choosing 1 member from either the 5 in-state representatives.
So, throughout this case, the number among approaches p is supplied by:
⇒ \(p=5C_1\times 13C_2\)
\(=5\times 78\)
\(=390\)
(2)
Choosing the right one person of the legislature out of three non-senior members of the state
In this scenario, as already mentioned, the second participant needs to be chosen from the 5 qualified out-of-state citizens. Currently that we would have chosen 2 members out of 14 members in all, the 3rd member should be chosen out of another leftover 12 people.
Therefore, the amount of forms, throughout this case q, seems to be:
⇒ \(q=3C_1\times 5C_1\times 12C_1\)
\(=3\times 5\times 12\)
\(=180\)
So that the total no. of ways will be:
⇒ \(p+q\)
⇒ \(390+180\)
⇒ \(570\)
Angles 3 and 4 are supplementary. The measure of angle 3 is
thirty-five more than one-fourth the measure of angle 4.
1. What is the measure of Angle 3?
2. What is the measure of Angle 4?
The values of ∠4 and ∠3 are 116 degrees and 64 degrees respectively.
Given ,
What are supplementary angles ?
The angles are said to be in supplementary if and only if the sum of two angles is 180 degrees .
Angles 3 and 4 are supplementary.
The measure of angle 3 is
thirty-five more than one-fourth the measure of angle 4.
So,
∠3 + ∠4 = 180 degrees.
∠3 = 180-∠4 - equation 1
∠3 = 35 + (1/4 ) ∠4 - equation2
As equation 1 and 2 are equal
hence,
180-∠4 = 35 + (1/4) ∠4
180-35 = ∠4 + (1/4) ∠4
145 = ((1/4)+1) ∠4
145 = (5/4) ∠4
∠4 = 145 * 4 / 5
∠4 = 29*4
∠4 = 116
∠3 = 180-116
∠3 = 64
Hence the values of ∠4 and ∠3 are 116 degrees and 64 degrees respectively.
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Find the polar coordinates of the point. Then, express the angle in degrees and again in radians, using the smallest possible positive angle.
(2√3,-2)
The polar coordinates of the point are
Answer:
(4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)
Step-by-step explanation:
Given the rectangular coordinate
(2√3,-2)
x = 2√3
y = 2
For polar coordinate;
x =r cos theta
y = rsin theta
r = √x²+y²
r = √(2√3)²+(-2)²
r = √4(3) + 4
r = √12+4
r = 4
theta = arctan(y/x)
theta = arctan(-2/2√3)
theta = arctan(-1/√3)
theta = -30
theta = 180 - 30
theta = 150degrees
x = 4cos 150
y = 4sin150
The polar coordinate is (4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)
The polar coordinates of the point are
Mr Moore has 4 types of ice cream flavors. Each flavor can make 15 individual ice creams. 70% of these ice creams are in waffle cone. How many of these ice creams are in a waffle cone?
Answer:
42 ice creams in a waffle cone
Step-by-step explanation:
First we try to find how many ice cream does Mr. Moore has:
4*15=60 ice cream
It is said it 70% of these ice creams are in waffle cones. So 60*70/100= 60*7/10=6*7=42 ice creams in a waffle cone.
Help with math problems
The vertex form of the quadratic equations in standard form are, respectively:
Case 9: y = 2 · (x + 2)² - 12
Case 10: y = - (1 / 2) · (x + 3 / 4)² + 33 / 32
Case 11: y = 3 · (x - 4 / 3)² - 16 / 3
Case 12: y = - 3 · (x - 3)²
Case 13: y = (x - 4)² + 3
Case 14: y = (x - 1)² - 7
Case 15: y = (x + 3 / 2)² - 9 / 4
Case 16: 2 · (x + 1 / 4)² - 1 / 8
Case 17: y = 2 · (x - 3)² - 7
Case 18: y = - 2 · (x + 1)² + 10
How to derive the vertex form of a quadratic equationIn this problem we find ten cases of quadratic equation in standard form, whose vertex form can be found by a combination of algebra properties known as completing the square. Completing the square consists in simplifying a part of the quadratic equation into a power of a binomial.
The two forms are introduced below:
Standard form
y = a · x² + b · x + c
Where a, b, c are real coefficients.
Vertex form
y - k = C · (x - h)²
Where:
C - Vertex constant(h, k) - Vertex coordinates.Now we proceed to determine the vertex form of each quadratic equation:
Case 9
y = 2 · x² + 4 · x - 4
y = 2 · (x² + 2 · x - 2)
y = 2 · (x² + 2 · x + 4) - 12
y = 2 · (x + 2)² - 12
Case 10
y = - (1 / 2) · x² - 3 · x + 3
y = - (1 / 2) · [x² + (3 / 2) · x - 3 / 2]
y = - (1 / 2) · [x² + (3 / 2) · x + 9 / 16] + (1 / 2) · (33 / 16)
y = - (1 / 2) · (x + 3 / 4)² + 33 / 32
Case 11
y = 3 · x² - 8 · x
y = 3 · [x² - (8 / 3) · x]
y = 3 · [x² - (8 / 3) · x + 16 / 9] - 3 · (16 / 9)
y = 3 · (x - 4 / 3)² - 16 / 3
Case 12
y = - 3 · x² + 18 · x - 27
y = - 3 · (x² - 6 · x + 9)
y = - 3 · (x - 3)²
Case 13
y = x² - 8 · x + 19
y = (x² - 8 · x + 16) + 3
y = (x - 4)² + 3
Case 14
y = x² - 2 · x - 6
y = (x² - 2 · x + 1) - 7
y = (x - 1)² - 7
Case 15
y = x² + 3 · x
y = (x² + 3 · x + 9 / 4) - 9 / 4
y = (x + 3 / 2)² - 9 / 4
Case 16
y = 2 · x² + x
y = 2 · [x² + (1 / 2) · x]
y = 2 · [x² + (1 / 2) · x + 1 / 16] - 2 · (1 / 16)
y = 2 · (x + 1 / 4)² - 1 / 8
Case 17
y = 2 · x² - 12 · x + 11
y = 2 · (x² - 6 · x + 9) - 2 · (7 / 2)
y = 2 · (x - 3)² - 7
Case 18
y = - 2 · x² - 4 · x + 8
y = - 2 · (x² + 2 · x - 4)
y = - 2 · (x² + 2 · x + 1) + 2 · 5
y = - 2 · (x + 1)² + 10
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In order to start a small business a student takes out a simple interest loan for $2000.00 for 3 months at a rate of 12.25%. The amount of interest is $61.25. What is the future value of the loan?
Explanation
We are asked to get the future value given that the student takes out a simple interest
Thus
we will use
\(FV=PV(1+rt)\)In our case
\(r=\frac{12.25\text{\%}}{12}=\frac{0.1225}{12}\)\(\begin{gathered} FV=2000(1+\frac{0.1225\times3}{12}) \\ \\ FV=2000(1.030625) \\ \\ FV=\text{ \$20612.5} \end{gathered}\)The future value is $20612.5
. Simplify the expression: 4
2 + 8 ÷ 2.
Answer:
It's C 20
4^2 + 8 divided by 2 = 20
Step-by-step explanation:
Mrs moth picked 24 flowers.Six of them each had 9 petals,7 of them had 8 petals, 5 of them each had 3 petals, and the rest had 10 petals.How many flowers had 10 petals?
Using the subtraction operation, the number of flowers with 10 petals that Mrs. Moth picked was 6.
What is a subtraction operation?A subtraction operation is one of the four basic mathematical operations, including addition, division, and multiplication.
The subtraction operation involves the minuend, the subtrahend, and the difference.
The minuend is the number or value being subtracted from by the subtrahend. The result of a subtraction operation is known as the difference.
The total number of picked flowers = 24
The number of flowers with 9 petals = 6
The number of flowers with 8 petals = 7
The number of flowers with 3 petals = 5
The total number of flowers identified = 18 (6 + 7 + 5)
The number of flowers with 10 petals = x
x = 24 - 18
= 6
Thus, 6 flowers had 10 petals out of the 24 Mrs. Moth picked.
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Adama rolls a die with faces labeled 1 through 10. If he rolls the die 40 times how many times would he expect it to land on a number less than 10?
Adama can expect the die to land on a number less than 10 about 36 times in 40 rolls.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is essentially what probability means.
The die has 10 faces, with numbers 1 through 10, but we are interested in the number of times it will land on a number less than 10. That means, there are 9 possible outcomes for each roll to be less than 10.
The expected number of times the die will land on a number less than 10 can be calculated by multiplying the probability of getting a number less than 10 on each roll by the total number of rolls.
The probability of getting a number less than 10 on each roll is 9/10, since there are 9 faces with numbers less than 10 out of the total of 10 faces.
Therefore, the expected number of times the die will land on a number less than 10 is:
E = (9/10) x 40 = 36
Therefore, Adama can expect the die to land on a number less than 10 about 36 times in 40 rolls.
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☆ 36 times.
— your in college ? im in seventh grade and got this question !
What do you add to 4 4/9 to make 8
You need to add 3 5/9 to make 8. If you want to know what 4 4/9 goes to, to make 8, do the opposite which is subtracting. 8 turn to 7 9/9 and then subtract 4 4/9 and then you get the answer aka 3 5/9.
An earthquake with a rating of 7.8 is
known to be a great earthquake that can
cause damage that extends several
hundred kilometers.
The value of x when the Richter scale rating is 7.9, rounded to the nearest whole number, is approximately 79,432,823.
The formula relating the Richter scale rating (r) and the intensity ratio (x) is r = log(x). To find the value of x when r is 7.9, we can rearrange the formula and solve for x,
x = 10ʳ
Substituting r=7.9 into the formula, we get,
\(x = log((10)^{7.9} )\)
Using a calculator, we get,
x ≈ 79432823.09
Rounding this to the nearest whole number, we get,
x ≈ 79432823
Therefore, the value of x when the Richter scale rating is 7.9, rounded to the nearest whole number, is approximately 79,432,823.
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Complete question - What is the value of x when the Richter scale rating is 7.9 round your answer to the nearest
r=log x
r=rating of the earthquakes size on the Richter scale
x=ratio of earthquake intensity to a minimum level of intensity
Find the probability that a randomly selected point within the square falls in the red-shaded triangle. 3 3 4 P = [?] 4
The required probability is 3 √7 / 32.
Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.
Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7
The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is: P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.
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I will give the brainlist . Find the area of the trapezoid.
Answer:
88
Step-by-step explanation
Answer:
area = 88 m²
Step-by-step explanation:
area = ½(b1 + b2)h
area = ½(10 m + 6 m)(11 m)
area = 88 m²
Photo is attached, please help! Will give brainliest
Here you go! please make sure you read it all too understand it, and make sure you try work before asking for help :D Have a awesome day/night
Answer:735
Step-by-step explanation:I was hoping you’d have another. Dv/dt=d/dt((7+5t)^3)=3x5x((7+5t)^2)=15x49. Does this work?
rogress: The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer A motor oil retailer needs to fill 50 one quart bottles, and he has two tanks: one that contains 12 gallons of oil and one that contains 2 gallons of oil. Which will he need to fill the bottles? The 2 gallon tank is enough. He will need both tanks. The 2 gallon tank is not enough, but the 12 gallon tank is enough. Question ID: 53297 Even both tanks will not be enough.
The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.
Find the solution ?The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.
A motor oil store has two tanks: one holds 12 gallons of oil, and the other holds 2 gallons of oil. In order to determine which tank will require to fill the bottles, the following computation must be done:
Quarts to gallons is 4 to 1.
1/4 x 60 = X
60/4 = X
15 = X
Since the motor oil vendor requires 15 gallons of oil, he must use both tanks but will still be short by 1 gallons
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B is the midpoint of AC, D is the midpoint of CE, and AE=31. Find BD. The diagram is not to scale.
Answer:
mid point is 31
Step-by-step explanation : why? because if take what ae equals which is 31.
the correct answer is 31.
Answer: the correct answer is 31.
Step-by-step explanation:
estimate the value of the following by rounding of values 4196×673
Answer:
2823908
Step-by-step explanation:
please help :) thanks !
Answer:
Step-by-step explanation:
b
A parade departs from City Hall and finishes at a park. On a map, the parade route is 8 centimeters long. If the scale of the map is 2 centimeters : 1 kilometer, then what is the actual distance between City Hall and the park?
Answer:
4 kilometers is the actual distance
Step-by-step explanation:
8÷2=4
solve the inequality 0<5x-2<8
Answer:
×= 2 this is what I got as a result to my equations
Math need help please
i need help asap
than you!
The highest height for the daily rainfall were for 5 and 6 inches
How to Interpret Dot Plots?Dot plots are used to present data in the form of points or small circles. It is similar to a simplified histogram or bar graph in that the height of the bar made up of points represents the numerical value of each variable. Dot plots are used to represent small amounts of data.
From the given dot plot, we see the number of times for each height of rainfall.
Thus, we see that the highest number of times of rainfall height was from that of 5 and 6 inches.
Thus, we conclude those were the highest heights for the daily rainfall.
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Best answer gets brain ly
The new coordinates of the image of the shape are
(3, -2) (2, -2) (2, -4)The picture of the graph showing the image is attached
How to make a 90 degrees clockwise rotationThe rule for 90 degrees clockwise rotation is
(x, y) becomes (y, -x)
The rule involves interchanging the coordinates of the ordered pair such that x takes the place of y and y tales the place of x and a change of sign
performing the rotation we have the new coordinates as below
(2, 3) becomes (3, -2)
(2, 2) becomes (2, -2)
(4, 2) becomes (2, -4)
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