To eliminate the parameter and find the Cartesian equation of the curve x = 7sinθ,y = cos2θ, we can express x in terms of θ, rearrange the equation, and substitute it into the other equation to eliminate the parameter θ. The resulting equation 2(x/7)² + y - 1 = 0 represents the Cartesian equation of the curve.
Explanation:To eliminate the parameter and find the Cartesian equation of the curve, we can express x in terms of θ using the given equation x = 7sinθ. Rearranging this equation, we get sinθ = x/7. Similarly, we can express y in terms of θ using the given equation y = cos2θ, which can be rewritten as cos(2θ) = y.
Now we can use the trigonometric identity cos(2θ) = 1 - 2sin²θ to eliminate θ from the equations. Substituting this identity into the second equation, we get 1 - 2(sinθ)² = y.
Simplifying this equation, we have 2(sinθ)² + y - 1 = 0. Finally, we can express sinθ in terms of x using the equation sinθ = x/7, and substitute it into the simplified equation to eliminate θ. This gives us 2(x/7)² + y - 1 = 0, which represents the Cartesian equation of the given curve.
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30 pts if correct and will mark brainliest
Answer:
{HR H O HY HG TR TO TY TG}
2600
Step-by-step explanation:
We can either get heads or tails on the coin and red yellow green or orange on the spin
HR H O HY HG
TR TO TY TG
There are 26 letters for the first space and 10 digits (0-9) for the second space and 10 digits (0-9) for the 3 space
26 * 10 * 10
2600
Answer:
Option 1
Step-by-step explanation:
A sample space is a collection of all possible outcomes
{Coin,colour}
{H R, H Y, H G, H O, T R, T Y, T G, T O}
The volume of a triangular pyramid is 110 cm³. The base of the triangle is 10 cm in the height of the triangle is 6 cm. Find the height of the pyramid.
Answer:
The height of the pyramid is 11 cm.
Step-by-step explanation:
We are given the following in the question:
Volume of triangular pyramid = 110 cubic cm
Base of trianle,b = 10 cm
Height of triangle,h = 6 cm
Area of triangular base =
[tex]A = \dfrac{1}{2}\times b\times h\\\\A = \dfrac{1}{2}\times 10\times 6\\\\A = 30\text{ square cm}[/tex]
Volume of triangular pyramid =
[tex]V = \dfrac{1}{3}AH[/tex]
where H is the height of the pyramid, A is the area of triangular base.
Putting values, we get,
[tex]110 = \dfrac{1}{3}\times 30\times H\\\\H = \dfrac{3\times 110}{30}\\\\H = 11\text{ cm}[/tex]
Thus, height of the pyramid is 11 cm.
How do u define demography
Answer:Demography is the statistical study of the size, structure, and distribution of a population. This includes studying the number of births and deaths a population has as well as how that population changes over time.
Step-by-step explanation:
All members of our painting team paint at the same rate. If $20$ members can paint a $6000$ square foot wall in $24$ minutes, then how long would it take the $20$ members to paint a $9000$ square foot wall, in minutes?
Let x represent time taken by 20 members to paint 9000 square foot wall.
We have been given that all members of our painting team paint at the same rate. 20 members can paint a 6000 square foot wall in 24 minutes. We are asked to find the time taken by 20 members to paint 9000 square foot wall.
We will use proportions to solve our given problem.
[tex]\frac{\text{Time taken}}{\text{Area of wall painted}}=\frac{24\text{ min}}{6000\text{ ft}^2}[/tex]
[tex]\frac{x}{9000\text{ ft}^2}=\frac{24\text{ min}}{6000\text{ ft}^2}[/tex]
[tex]\frac{x}{9000\text{ ft}^2}\times 9000\text{ ft}^2=\frac{24\text{ min}}{6000\text{ ft}^2}\times 9000\text{ ft}^2[/tex]
[tex]x=\frac{24\text{ min}}{6}\times 9[/tex]
[tex]x=4\text{ min}\times 9[/tex]
[tex]x=36\text{ min}[/tex]
Therefore, it will take 36 minutes for 20 members to paint 9000 square foot wall.
Answer:
36 minutes
Step-by-step explanation:
The amount of time needed and the amount of wall to paint are directly proportional. So, when we multiply the amount of wall to paint by 4/3 (going from 6000 square feet to 9000 square feet), we multiply the time needed by 9000/6000 = 3/2. Therefore, the 20 members need 24 * 3/2 = 36 minutes to paint the 9000 square foot wall.
2x+3≥7 OR 2x+9>11 I'm confused n what to do help, please!!
Answer:
x>1
Step-by-step explanation:
2x+3≥7 OR 2x+9>11
Solve each one separately
2x+3≥7
Subtract 3 from each side
2x+3-3≥7-3
2x ≥ 4
Divide each side by 2
2x/2≥ 4/2
x≥ 2
2x+9>11
Subtract 9 from each side
2x+9-9>11-9
2x > 2
Divide by 2
2x/2>2/2
x>1
Put them back together
x>1 or x≥ 2
Since the x>1 is less restrictive and we are using or, we use that as our answer
I need help asap :):):)
Answer:
24 ÷ 4
Step-by-step explanation:
Putting something into fourths is putting into 4 parts. If you divide 24 by 4 you get 6. 6 equals 1/4 of 24. To check your work add 6 together 4 times.
What number should Rhianna use for the height of the parallelogram if she uses 28 inches for the base?
Answer:
7
Step-by-step explanation:
But lets not quote me on that. :]
Figure ABCD is a kite.
Kite A B C D is shown. Sides A B and B C are congruent. The length of A B is 14. Sides C D and A D are congruent. The length of C D is 22.
What is the length of line segment AD?
8 units
14 units
22 units
36 units
Answer:
the answer is 22 units,hope it helps
The length of line segment AD is 22 units.
ABCD is a kite.
Kite A B C D is shown.
Sides A B and B C are congruent.
The length of A B is 14.
Sides C D and A D are congruent.
The length of C D is 22.
We have to determine the length of line segment AD.
What is the theorem of similarity of the triangle?
A line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.
Therefore we can say that,
AD=DC
Therefore the length of line segment AD is 22 units.
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On a pentagonal lot, when interior angles are put in increasing order, each differs from the next by 5 degrees. Find the measure of the smallest interior angle of the field
Select the appropriate response:
A) 118
B) 98
C) 103
D) 108
Answer:
B) 98
Step-by-step explanation:
98+5=103
103+5=108
108+5=113
113+5=118
At the supermarket, peppers cost $2.19 per pound. Christina buys 2 pounds
of peppers. She pays with a $5.00 bill. How much change does she receive?
Answer:
0.62
Step-by-step explanation:
2*4.19=4.38
5-4.38=0.62
Merrill Lynch Securities and Health Care Retirement Inc. are two large employers in downtown Toledo, Ohio. They are considering jointly offering child care for their employees. As a part of the feasibility study, they wish to estimate the mean weekly child care cost of their employees. A sample of 10 employees who use child care reveals the following amounts spent last week.$107 $92 $97 $95 $105 $101 $91 $99 $95 $104(a) Develop a 99 percent confidence interval for the population mean. Interpret the results.
Answer:
Step-by-step explanation:
We would determine the mean an standard deviation first
Mean = (107 + 92 + 97 + 95 + 105 + 101 + 91 + 99 + 95 + 104)/10 = 98.6
Standard deviation = √(summation(x - mean)/n
n = 10
Summation(x - mean) = (107 - 98.6)^2 + (92 - 98.6)^2 + (97 - 96.6)^2 + (95 - 98.6)^2 + (105 - 98.6)^2 + (101 - 98.6)^2 + (91 - 98.6)^2 + (99 - 98.6)^2 + (95 - 98.6)^2 + (104 - 98.6)^2 = 274
Standard deviation = √(274/10) = 5.23
The confidence interval is used to determine the range of values that could possibly contain a population parameter (population mean)
Confidence interval is written in the form,
(Point estimate - margin of error, Point estimate + margin of error)
The sample mean, x is the point estimate for the population mean.
We will use the t distribution because the sample size is small and the population standard deviation is not given.
Degree of freedom, df = 10 - 1 = 9
α = 1 - 0.99 = 0.01
z α/2 = 0.01/2 = 0.005
The area to the right of z 0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995. Using the t distribution table,
z = 3.25
Margin of error = z × s/√n
Where
s = sample standard Deviation = 5.23
Margin of error = 3.25 × 5.23/√10 = 5.38
Confidence interval = sample mean(point estimate) ± z × σ/√n
The lower boundary of the confidence interval is
98.6 - 5.38 = 93.22
The upper boundary of the confidence interval is
98.6 + 5.38 = 103.98
We estimate with 99% confidence that the mean weekly child care cost of their employees is between $93.22 and $103.98
Also,
99% of the confidence intervals constructed in this way would contain the true value for the population mean of mean weekly child care cost of their employees.
The 99% confidence interval for the average weekly childcare cost based on this sample data is [$94.6, $102.6], which means we're 99% certain the true average cost falls within this range.
Explanation:When we are talking about a confidence interval for the population mean, we're trying to determine a range within which we're confident the true average child care cost falls, given the data we have from a sample of employees. To do this, we first have to calculate the mean (or average) child care cost and the standard deviation of our sample.
The mean weekly child care cost would be ($107 + $92 + $97 + $95 + $105 + $101 + $91 + $99 + $95 + $104) / 10 = $98.6. To calculate the standard deviation, you would subtract each data point from the mean, square the results, find the average of these squared differences, and finally take the square root. In this case, the standard deviation equates to ~5.27. Now we can use these values to calculate the confidence interval. For a 99% confidence interval with a sample size of 10, the appropriate t-value from the t-distribution table is 3.25. The confidence interval would therefore be Mean +/- t-value*(standard deviation/sqrt(n)). So the interval would be 98.6 +/- 3.25*(5.27/sqrt(10)). This calculates to an interval of [94.6, 102.6]. That means we're 99% confident the true average weekly child care cost falls between $94.6 and $102.6.
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PLS HELP ONLINE SCHOOL!! I DONT GET IT
Answer:
1:1
Step-by-step explanation:
They look exactly the same so they would equal each other
Find the gradient of the line that is perpendicular to the line 2y=3+5x
The gradient of the line that is perpendicular to the line 2y = 3 + 5x is found to be -0.4, after converting the given equation to slope-intercept form and determining the negative reciprocal of the original slope.
Explanation:To find the gradient of a line that is perpendicular to the given line 2y = 3 + 5x, we first need to put the given equation in slope-intercept form (y = mx + b). By dividing everything by 2, we get y = 2.5x + 1.5, where the gradient (or slope) of this line is 2.5. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of the line perpendicular to the given one is -1/2.5, which simplifies to -0.4. Therefore, the gradient of the line that is perpendicular to the line 2y = 3 + 5x is -0.4.
An employee earns $24 for working 11 hours. At the same rate of pay, how many hours will it take the employee to
earn $1447
Daniel deposited $5,000 in his saving account. He left the money in the account
for 25 years and earned 3.5% simple interest. How much interest did her earn?
Answer:
$4375
Step-by-step explanation:
What you do first is multiple $5,000 by 3.5% to get $175 after that you would then multiple $175 by 25 for each year you are getting $175 when you do all that you get $4375 in interest
Paul has a stock portfolio worth $21,000. His home is valued at $365,000. His car is valued at $19,000. He owes $362,000 on his mortgage and $16,250 on his car loan. His credit card debt is $11,750. He owes student loans of $17,900. Paul says that because the value of his home and his car exceed their loans and his stock portfolio exceeds his credit card and student loan debt, he has a positive net worth. Complete the explanation as to whether his statement is true or not. Paul's stock portfolio the total of his credit card and student loan debt. His net worth is dollars. Therefore, Paul has a net worth, and his statement is .
Answer:
Paul has negative worth of $2,900
His statement is invalid as he did not consider all assets and debts in aggregate.
Step-by-step explanation:
The net worth of Paul is the total asset owned by him less the total of debts owed by him.
Paul's total assets can computed thus:
Stock portfolio $21,000
Home worth $365,000
Car worth $19,000
Total assets $405,000
Paul's total debts can be computed as follows:
Mortgage loan $362,000
Car loan $16,250
credit card debt $11,750
Student loan $17,900
Total debts $407,900
The amount of debts owed by Paul is $2,900($405,000-$407,900) more than his asset worth,which implies that Paul is indebted to the tune of $2,900,hence has negative worth.
Paul's statement is false; he has a negative net worth.
Explanation:Paul's statement is true, he has a positive net worth.
To calculate Paul's net worth, we subtract his debts from the total value of his assets:
Value of his home ($365,000) minus mortgage ($362,000) = $3,000 equityValue of his car ($19,000) minus car loan ($16,250) = $2,750 equityValue of his stock portfolio ($21,000) minus credit card debt ($11,750) and student loan debt ($17,900) = -$8,650By adding up all his equities, we get $3,000 + $2,750 + (-$8,650) = -$2,900. Therefore, Paul has a negative net worth and his statement is false.
Answer the folowing:
A percent is a rate in which the first term is compared to
A. 100
B. itself
C. 1
D. 0
A unit rate is a rate in which the first term is compared to
A. 0
B. 100
C. itself
D. 1
From what we know about percentages and unit rates, the correct options are:
1) 100
2) 1
What is a percent?
Suppose we have an amount A, this would be the 100%.
If we want to know how much a quantity B represents, compared to A, we have:
A = 100%
B = x
where x is a percentage, to find the value of x we compute:
x = (B/A)*100%
While there is a dependence on A, we actually are comparing the term with 100 (because A represents a 100%), so the correct option is A: 100.
What is a unit rate?We define the unit rate as the rate for a unit of something.
for example, if we know that
2 apples cost $3
The unit rate per apple is:
U = $3/2 = $1.5
Meaning that each apple costs $1.5
So to get the unit rate, we need to compare the first term with 1 (a unit). So the correct option is D.
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Hannah has some pennies and some nickels. She has a maximum of 25 coins worth a minimum of $0.65 combined. If Hannah has 11 nickels, determine the minimum number of pennies that she could have. If there are no possible solutions, submit an empty answer.
Answer:
Minimum number of pennies = 10
Step-by-step explanation:
Given:
Maximum number of coins Hannah have = 25
Total number of of nickels (coins) she has = 11
Total value of the combined coins = $ 0.65
We have to find the minimum number of pennies.
Let the number of pennies be "p" and no. of nickels be "n".
Note:
Value of 1 penny = $ 0.01
Value of 1 nickel = $ 0.05
Arranging the above situation in terms of equations:
According to their quantities.
⇒ [tex]n+p\leq 25[/tex] and [tex]11+p\leq 25[/tex] so [tex]p\leq 14[/tex]
According to their values.
⇒ [tex]0.05(n)+0.01(p)\leq \$\ 0.65[/tex]
⇒ [tex]0.05(11)+0.01(p)\leq \$\ 0.65[/tex]
⇒ [tex]\$\ 0.55+0.01(p)\leq \$\ 0.65[/tex]
⇒ [tex]0.01(p)\leq \$\ 0.65-\$\ 0.55[/tex]
⇒ [tex]0.01(p)\leq \$\ 0.10[/tex]
⇒ [tex](p)\leq\frac{ \$\ 0.10}{0.01}[/tex]
⇒ [tex](p)\leq 10[/tex]
Minimum number of pennies :
⇒ [tex](p)\leq 10[/tex] which also satisfies [tex]p\leq 14[/tex]
Therefore :
⇒ [tex]p=10[/tex]
Plugging p= 10 we can verify the values.
⇒ [tex]0.05(11)+0.01(10)\leq \$\ 0.65[/tex]
⇒ [tex]0.55+0.10\leq \$\ 0.65[/tex]
⇒ [tex]\$\ 0.65\leq \$\ 0.65[/tex]
So,
Minimum number of pennies Hannah have = 10
Final answer:
Hannah can have a minimum of 10 pennies along with her 11 nickels to make at least $0.65, while having a maximum of 25 coins in total.
Explanation:
Hannah has a maximum of 25 coins and among them, she has 11 nickels. Since she has a minimum combined worth of $0.65, we can calculate the minimum number of pennies she could have. One nickel is worth $0.05, so 11 nickels have a combined worth of $0.55 (11 times $0.05). To reach at least $0.65, we need at least $0.10 more.
A penny is worth $0.01, so to make up the additional $0.10, Hannah would need a minimum of 10 pennies. Therefore, with 11 nickels already accounted for, and the rest being pennies to reach $0.65, Hannah could have a minimum of 10 pennies. She cannot have more than 25 coins in total, so the number of pennies must also not exceed the limit of 25 total coins when added to the number of nickels she has. Since 11+10=21, this is less than the maximum of 25 coins, and thus, it is possible for Hannah to have a minimum of 10 pennies.
What are two things you will need to write an equation for a line?
Answer:
Slope and y intercept.
Step-by-step explanation:
This is necassary to write the equation of a line in y=mx+b
m is where the slope goes, and b is the y intercept.
Alternatively, you could also write the equation for a line with a point on the line and the slope.
You would then write it in point slope formula:
y-y1=m(x-x1)
This can later be converted into slope intercept form.
I need help please!!!
A TV has an aspect ratio of 21:9. What does this fact tell you about the relationship between the TV's height and width?
(1)
There are 21 inches of width for every 9 inches of height.
(2)
There are 21 inches of height for every 9 inches of width.
(3)
The total viewing area of the TV is 21.9 square inches
(4)
The TV's diagonal measurement is 21.9 inches.
Answer: number 1
Step-by-step explanation:
That is how you would write the ratio word for word.
- hope this helped!
Answer:
1
Step-by-step explanation:
Analyze the map below and answer the question that follows.
A map of population density in South and Southeast Asia. Darker areas have higher population density. Higher population density areas are Indonesia, the coast of Vietnam, the northern border of India, the eastern coast of India, and Bangladesh.
Areas with higher population density are shown in solid, dark green on the map above. Which of the following areas in India has the highest population density?
A.
the Deccan Plateau
B.
the island of Java
C.
the Ganges Plain
D.
the border region near Pakistan
Answer:
the answer is a
Step-by-step explanation:
i got the question right. please mark me brainliest. look at a population density map of southeast Asia
Answer:
a
Step-by-step explanation:
i did the test
A cell phone is on sale for 30% off. If the sale price is $239.89, what is the original price?
Answer:
$342.7
Step-by-step explanation:
Let the sale price be x.
So,
x - 30% of x = $239.89
x - 30/100*x = 239.89
(100x-30x)/100 = 239.89
70x = 239.89 *100
x = 23989/70
x = $342.7
sale price = $342.7
Answer:
342.70
Step-by-step explanation:
Since 100%-30%=70% our equation will be:
0.70x=239.89
x=original price
0.70x=239.89
/0.70 /0.70
Divide both sides by 0.70
x=342.7
$342.70
How many liters are in 1 dekaliter? Use the metric table to help answer the question.
Metric Table
unit
kilo-
1,000
hecto-
100
deka
10
deci-
0.1
centi-
0.01
milli-
0.001
O
1 liter
10 liters
100 liters
1,000 liters
O
Answer:
10
Step-by-step explanation:
Based on the concept of measurement and the information given in the question, the liters that made 1 dekaliter is 10 liters.
What is measurement?Measurement is a term that is used to describe the process of associating numbers with physical quantities and phenomena.
Generally, the process of measurement includes the unit conversion, thereby making the same property as a different unit of measurement. For instance, liters can be expressed in dekaliters.
In this case, 10 liters is equivalent to 1 dekaliter
Other types of liters are the following:Milliliters DecilitersCentilitersLitersKilolitersHectolitersHence, in this case, it is concluded he correct answer is option B. 10 liters.
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please help and explain too
Answer:
Radius = 5inch
CD = 2.75 cm
Step-by-step explanation:
A) isosceles triangles AC = AD BC = BD BC = AC you join lines up and then do Pythagoras. AC ² = 1/2 * 8 ² + 1/2 6²
AC² = 4sq + 3sq
25sq = 16sq + 9sq
AC² = 25sq = 5inch
Radius = 5inch
B) AB = 8inch CD = 6inch radius = 5 ratio = 4 : 3 : 2.5
AB = 24cm CD = 18 radius = 13cm ratio = 4 : 3 : 2.1
4- 2.1 = 1.9 1.9 distributed = 1.30 + 0.65 + 1 =2.75
so ratio must be 4: 2.75 : 2.1 = 4 : 3 : 2.5
Therefore CD = 2.75 cm
Just to get you started.
Solve for "a" in this radical equation.
45 points!!
Please show all work
Answer:
a = -1 and a = 4
Step-by-step explanation:
∛a³ + 4a² -3 = a + 1
a³ + 4a² - 3 = (a + 1)³
a³ + 4a² -3 = a³ + 3a² + 3a + 1
a² - 3a -4
(a + 1) (a - 4)
a + 1 = 0
a = -1
a -4 = 0
a = 4
Answer:
a = -1, a=4
Step-by-step explanation:
( a^3 +4a^2 -3) ^1/3 = a+1
We need to cube each side to get rid of the radical
( a^3 +4a^2 -3) ^1/3 ^3 = (a+1)^3
( a^3 +4a^2 -3) = (a+1)^3
Using the formula (x+y)^3=x^3+3x^2y+3xy^2+y^3
we can expand (a+1)^3 to a^3+3a^2+3a+1
( a^3 +4a^2 -3) =a^3+3a^2+3a+1
Moving all the terms to the left hand side
( a^3 +4a^2 -3) -(a^3+3a^2+3a+1) =a^3+3a^2+3a+1-(a^3+3a^2+3a+1)
Distribute the minus sign
( a^3 +4a^2 -3) -a^3-3a^2-3a-1 =0
Combine like terms
a^2 -3a-4 =0
Factor
(a-4) (a+1) =0
Using the zero product property
a-4 =0 a+1=0
a=4 a=-1
Check since we cubed each side for extraneous solutions
( a^3 +4a^2 -3) ^1/3 = a+1
a=4
( 4^3 +4 *4^2 -3) ^1/3 = 4+1
(64 +64 -3) ^1/3 =5
125 ^1/3 =5
5=5 True
a=-1
( (-1)^3 +4 *(-1)^2 -3) ^1/3 = -1+1
(-1 +4 -3) ^1/3 =0
0 ^1/3 =0
0=0 True
please hurry I am doing the test right now
The intersection of two streets forms a parallelogram. One street is 40 feet wide. The height of the parallelogram formed is 25 ft. What is the area of the intersection?
A parallelogram has a base of 40 feet and a height of 25 feet.
500 sq ft
560 sq ft
1,000 sq ft
1,120 sq ft
Answer:
The answer is 1,000 sq ft
Step-by-step explanation:
i just finished with 100% on the topic test/quiz
The government of India declared Rhinoceros as an endangered species. They put tags on 32 rhinoceros and released them. Later, they caught 160 rhinoceros, 12 of them were tagged. Find the best estimate for the rhinoceros population? *
Answer:
Step-by-step explanation:
The government of a large city needs to determine whether theâ city's residents will support the building of a new Middle School. The government decides to conduct a survey of a sample of theâ city's residents. Which one of the following procedures would be the most appropriate for obtaining a sample of theâ city's residents?a. Survey a random sample of the employees and inmates at the old jail. b. Survey every fifth person who walks into City Hall on a given day. c. Survey a random sample of persons within each geographic region of the city. d. Survey the first 200 people listed in the cityâs telephone directory.
Answer:
c. Survey a random sample of persons within each geographic region of the city.
Step-by-step explanation:
Since the government intends to conduct the survey on a sample of the city residents. The sample must be random and a true representation of those who live in the city. It is therefore important that the survey is carried out on a random sample of persons within each geographic region of the city.
All other options are not true representation of the city's population.
The most appropriate procedure for obtaining a sample of a city's residents that will support the new Middle School is to survey a random sample of persons within each geographic region of the city.
The government of a large city needs to determine whether the city's residents will support the building of a new Middle School. When deciding on the most appropriate procedure for obtaining a sample of the city's residents, the goal is to ensure that the sample is both random and representative of the entire population. Out of the given options:
Survey a random sample of the employees and inmates at the old jail would not be representative of the entire city.
Survey every fifth person who walks into City Hall on a given day could have selection bias and might not be a random sample.
Survey a random sample of persons within each geographic region of the city would likely be the most appropriate method, as it ensures that all areas of the city are represented.
Survey the first 200 people listed in the city’s telephone directory could result in a sample that is not random, as it excludes those not listed in the directory or those with unlisted numbers.
Therefore, the best option among those presented is to survey a random sample of persons within each geographic region of the city. This would provide a more accurate reflection of the city's residents' opinions regarding the new Middle School.
city X has a population of 3 times 10^5 and city Y has a population of 6 times 10^6. Which statement correctly describes the relationship between the population of city X and city Y
Answer:
The population of city Y is 20 times than that of city X.
Step-by-step explanation:
Given:
City X has a population of 3 times 10^5
City Y has a population of 6 times 10^6.
Question asked:
Which statement correctly describes the relationship between the population of city X and city Y?
Solution:
If we will be able to find the number of times the population of city Y more than that of city X, it will be the best and easy to understand relationship between the population of these two towns:
And we can easily calculate by dividing the population of city Y by population of city X.
[tex]=\frac{6\times10^{6} }{3\times10^{5}} \\ \\ =\frac{6\times10^{6-5} }{3}\ (\frac{a^{m} }{a^{n} }= a^{m-n} )[/tex]
[tex]=\frac{6\times10^{1} }{3} \\ \\ =\frac{60}{3} \\ \\ =20\ times[/tex]
Thus, the population of city Y is 20 times than that of city X.
City Y's population is 20 times larger than that of city X. This is determined by dividing City Y's population by City X's.
Explanation:The relationship between the populations of city X and city Y can be understood by comparing the numbers provided: 3 times 10^5 (or 300,000) for city X and 6 times 10^6 (or 6,000,000) for city Y. It's clear that city Y has a significantly larger population. In fact, city Y's population is 20 times larger than that of city X.
This is calculated by dividing city Y's population (6,000,000) by city X's population (300,000), getting the result 20.
Learn more about Population Comparison here:https://brainly.com/question/37062261
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What make two shapes similar
Answer:
Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides
Step-by-step explanation: