The calculated value of the ratio of the radii of A and B is 2.
Calculating the ratio of the radii of A and BThe ratio of the areas of two circles A and B is equal to the square of the ratio of their radii.
Therefore, if the ratio of the areas of A and B is 4, then the ratio of the radii of A and B is the square root of 4, which is 2.
In other words, if the radius of circle A is rA and the radius of circle B is rB, then:
Area of A / Area of B = (rA)^2 / (rB)^2 = 4
Taking the square root of both sides, we get:
rA / rB = 2
So, the ratio of the radii of A and B is 2.
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Is (5,
–
9) a solution to this system of equations?
17x+8y=13
17x–20y=
–
20
Answer:
(5,-9) is not a solution
Step-by-step explanation:
Tyrone has $800 in a savings account that earns 10% annually. The interest is not compounded. How much will he have in total in 1 year?
Answer: $80
Step-by-step explanation:
If Tyrone's savings account earns a simple 10% annual interest and is not compounded, then the interest for one year can be calculated using the formula:
Interest = Principal × Rate × Time
where:
Principal = $800
Rate = 10% = 0.1
Time = 1 year
Interest = $800 × 0.1 × 1 = $80
Tyrone will earn $80 in interest in 1 year. To find the total amount in his account after 1 year, we add the interest to the principal:
Total amount = Principal + Interest
Total amount = $800 + $80 = $880
In 1 year, Tyrone will have $880 in total in his savings account.
Answer:
$880
Step-by-step explanation:
10% = .1
800 x .1 = 80
80 + 800= 880
In art class students are mixing blue and red paint to make purple paint. Deondra
mixes 6 cups of blue paint and 7 cups of red paint. Arun mixes 2 cups of blue paint
and 3 cups of red paint. Use Deondra and Arun's percent of red paint to determine
whose purple paint will be redder.
Deondra percent of red paint (to nearest whole number) =
Arun percent of red paint (to nearest whole number) =
O Deondra's purple paint will be redder.
O Arun's purple paint will be redder.
o The two purple paints will be equally red.
Submit Answer
%
%
attempt 1 out of 2
Arun's purple paint will be redder.
Define percentagePercentage is a way of expressing a proportion or a fraction as a number out of 100. It is represented by the symbol "%". For example, if you say that 20% of students in a class scored an A grade in a test, it means that 20 out of every 100 students received an A grade.
Deondra mixed 6 cups of blue paint and 7 cups of red paint, so the percent of red paint in her mixture is:
7 / (6 + 7) × 100% = 53.8%, which rounds to 54%.
Arun mixed 2 cups of blue paint and 3 cups of red paint, so the percent of red paint in his mixture is:
3 / (2 + 3) × 100% = 60%.
Since Arun's mixture has a higher percentage of red paint, his purple paint will be redder than Deondra's.
Therefore, the answer is Arun's purple paint will be redder.
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please bold the answers and show work aswell
The number of packs of peanut m&m's did they sell that day is 378 packs.
The distance traveled by the plane is 1,008 miles.
The time taken by the plane is 7.78 hours.
How many packs of peanut m&m's did they sell that day?Let
Number of peanut sold = x
Ratio of peanut to plain
7 : 10 = x : 540
7/10 = x/540
7 × 540 = x × 10
3,780 = 10x
divide both sides by 10
x = 3,780 / 10
x = 378
When t = 2.8 hours
d = 360t
d = 360(2.8)
d = 1,008 miles
Therefore, the time taken for the plane to fly 2800 miles is;
d = 360t
2800 = 360t
divide both sides by 360
t = 2,800/360
t = 7.78 hours
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13. What is the surface area of a dome (a half sphere) with a radius of 12 meters?
288 meters squared
48 meters squared
967 meters squared
576 meters squared
Answer: The formula for the surface area of a sphere is given by 4πr^2, and since we have half of a sphere, the surface area of a dome (a half sphere) is 2πr^2.
Plugging in the radius r = 12 meters, we get:
Surface area = 2π(12)^2
Surface area = 2π(144)
Surface area ≈ 904.78
Rounding to the nearest whole number, we get the surface area of the dome as 905 meters squared. Therefore, the closest answer choice is 967 meters squared.
So the answer is: 967 meters squared.
Step-by-step explanation:
Use the drop-down menus to complete the statements.
When electrons are lost, a
ion is formed.
When electrons are gained, a
ion is formed.
When electrons are lost, a cation is formed.
When electrons are gained, an anion is formed.
An atom can lose or gain electrons to form ions. An ion is an atom or molecule that has an unequal number of protons and electrons, which gives it a net electrical charge.
When an atom loses one or more electrons, it becomes positively charged because the number of protons in the nucleus is greater than the number of electrons. This type of ion is called a cation. Cations are formed when metals lose electrons because they have relatively low electronegativity, which means they don't hold onto their valence electrons as tightly.
On the other hand, when an atom gains one or more electrons, it becomes negatively charged because the number of electrons is greater than the number of protons. This type of ion is called an anion. Anions are formed when nonmetals gain electrons because they have relatively high electronegativity, which means they attract electrons more strongly.
Therefore, When electrons are lost, a cation is formed and When electrons are gained, an anion is formed.
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Answer:
When electrons are lost, a
✔ positive
ion is formed.
When electrons are gained, a
✔ negative
ion is formed.
Step-by-step explanation:
Can someone help me with as many as possible (even one is ok) please
Answer:
7.30
Step-by-step explanation:
number 13 is simple subtraction.
Calculate Volume of Air passing through Filter HEPA Filter 100ft/min *- Airflow 4ft 2ft Volume = Filter Area x Airflow Velocity
The volume of air passing through the filter is 800 cubic feet per minute. It is calculated by multiplying the air flow speed (100ft/min) by the area of the filter (8ft²).
Explanation:The volume of air passing through the HEPA filter can be calculated using the formula for the speed of air flow multiplied by area. The speed of the air flow is given as 100ft/min and the area of the filter is given as 4ft x 2ft, which equals 8 square feet. Therefore, the volume of the air passing through the filter can be calculated as 8ft2 x 100ft/min = 800 cubic feet per minute.
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The sum of 2 vector forces is <5, -3>. What is the magnitude of the resulting force?
According to the question the magnitude of the resulting force is 5.83.
What is magnitude?Magnitude is a measure of the size or intensity of a physical quantity. It is an expression of how large or small a quantity is in comparison to a reference value. Magnitude is typically used in physics and astronomy, but it can also be used in other areas such as engineering and seismology. Magnitude is not an absolute measurement; rather, it is a relative measure of how much larger or smaller one quantity is compared to another. For example, the magnitude of a star's brightness is a measure of how much brighter it is compared to other stars.
The magnitude of the resulting force can be calculated using the Pythagorean theorem. The formula for calculating the magnitude of a vector is:
[tex]\sqrt[]{(x2 + y2)}[/tex]
In this case, x = 5 and y = -3, which gives us:
[tex]\sqrt{(52 + (-3)2)}[/tex] = [tex]\sqrt{(25 + 9)}[/tex] = √[tex]\sqrt{(34)}[/tex] = 5.83.
Therefore, the magnitude of the resulting force is 5.83.
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7.) Adult tickets for Disney on Ice are $6.50 while a child's ticket is only $2.50. At Tuesday night's
performance, 435 people were there in attendance. The box office brought in $1667.50 for that evening.
How many of each type of ticket were sold?
There were 145 adult tickets and 290 child tickets sold at Tuesday night's Disney on Ice performance.
How many of each type of ticket were sold?Let's assume that the number of adult tickets sold is "x" and the number of child tickets sold is "y".
From the problem, we know that the price of an adult ticket is $6.50 and the price of a child ticket is $2.50.
Therefore, the total revenue from adult tickets is 6.5x and the total revenue from child tickets is 2.5y.
We also know that the total attendance for the evening was 435 people, so:
x + y = 435
Finally, we know that the box office brought in $1667.50 in revenue for the evening, so:
6.5x + 2.5y = 1667.5
First, we can use the first equation to solve for one of the variables in terms of the other:
y = 435 - x
Substituting this expression for y into the second equation, we get:
6.5x + 2.5(435 - x) = 1667.5
Simplifying and solving for x, we get:
6.5x + 1087.5 - 2.5x = 1667.5
4x = 580
x = 145
To find the number of child tickets sold, we can use the equation we derived earlier:
y = 435 - x
y = 435 - 145
y = 290
Therefore, 290 child tickets were sold.
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14. A clear box has the shape of a rectangular prism and is filled with sand. Find the volume of the box. 8¹1 in. 41⁄/in. 6 in.
Assuming it's breadth is 4 1/2 m.
Assuming it's length is 8 1/4 m.
Assuming it's height is 6 1/2 m
Then the volume of a rectangular prism is given as l x b x h. Which means we multiply all the sides by one another. From my assumption of values, we have that 8 1/4 x 4 1/2 x 6 1/2, and this gives us 241.3125 m³ or 241.31
An average newspaper contains at least 9 pages and at most 46 pages. How many newspapers must be collected to be certain that at least two newspapers have the same number of pages?
Translate the sentence into an equation.
Twice the difference of a number and 6 is 7.
Use the variable b for the unknown number.
Answer: 2(b - 6) = 7
Step-by-step explanation:
"b" represents the unknown number.
6" means (b - 6), and "twice the difference of a number and 6" means 2(b - 6). "Is" translates to the equals sign (=) in the equation, and "7" represents the value that the expression on the left side of the equation is equal to.
Help please
A population of bacteria is growing according to the equation p(t)=800e^0.14t Estimate when the population will exceed 1151.
t= ---------
Answer:
To find the value of t when the population exceeds 1151, we need to solve the equation:
1151 = 800e^(0.14t)
First, divide both sides of the equation by 800:
1.43875 = e^(0.14t)
Now, take the natural logarithm (ln) of both sides:
ln(1.43875) = ln(e^(0.14t))
Using the property of logarithms, we can move the exponent in front of the logarithm:
ln(1.43875) = 0.14t * ln(e)
Since ln(e) = 1:
ln(1.43875) = 0.14t
Now, divide both sides by 0.14:
t = ln(1.43875) / 0.14
Finally, calculate the value of t:
t ≈ 2.71
So, the population will exceed 1151 at approximately t = 2.71.
Step-by-step explanation:
Answer:
t=2.59839
Step-by-step explanation:
You are trying to solve for t in the equation
1151=800*e^(.14t) --> 1.43875=e^(.14t)
to get rid of the e, you take the natural log of both sides, denoted by "ln" on calculators. The natural log of e to the power of something always equals the something
ln(1.43875)=ln(e^(.14t)) --> .36377=.14t --> 2.59839=t
Evaluate the expression for the given value.
–a – 7 for a = –4
A11
B–11
C3
D–3
Makgill's deductible for his home insurance plan is
$1000. A hurricane damages his roof, and the insurance
adjuster approves any repairs plus an 8% tax. The roofer
estimates that it will cost $5500 before tax.
A) What is the total amount of the repair that is covered?
B) How much will Makgill have to pay if he has had no
previous claims in the past year?
C) How much will the insurance company have to pay?
A) The total amount covered by insurance is $4940. B) The deductible of $1000, so his out-of-pocket cost will be $1000. C) The total amount covered by insurance is $4940.
What are percentages?Using percentages, you can represent a proportion as a piece of 100. In a variety of disciplines, including finance, economics, and statistics, it is a typical method for representing and contrasting data. In most cases, the % symbol is used to indicate percentages. Indicating changes in values over time, like as rises or falls in stock prices, inflation rates, or population expansion, is another way to utilise percentages.
A) Given that, tax is 8% thus,
Total cost with tax is:
$5500 x 1.08 = $5940.
Also, deductible amount is $1000:
$5940 - $1000 = $4940.
The total amount covered by insurance is $4940.
B) The deductible of $1000, so his out-of-pocket cost will be $1000.
C) The total amount covered by insurance is $4940.
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The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. There is no shaded bar above 60 to 69. A shaded bar stops at 4 above 70 to 79, at 4 above 80 to 89, at 6 above 90 to 99, at 6 above 100 to 109 and at 10 above 110 to 119. The graph is titled Temps in Beach Town.
When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?
Median, because Sunny Town is symmetric
Mean, because Sunny Town is skewed
Median, because Beach Town is skewed
Mean, because Beach Town is symmetric
Answer:
Whats the question?
Step-by-step explanation:
if i have 45 days left of school and need to do 69 lessons how many lessons a day would i need to do?
I just picked a random subject so....
500 points if answered correctly
Step-by-step explanation:
Simply divide lessons by days
69 lessons / 45 days = 1 8/15 = 1.53 lessons per day
The Monday relates to the Thursday so than, the Friday relation the ….? A: Tuesday B : Saturday C : Sunday D: Monday E:
Wednesday
Answer:
The correct answer is B: Saturday.
The relationship between Monday and Thursday is that they are two days apart in a typical Monday-to-Sunday week. Similarly, Friday is also two days apart from Tuesday in a typical week, so the relationship between Friday and Tuesday would be the same as the relationship between Monday and Thursday. Therefore, the correct answer is B: Saturday.
K
A survey was conducted that asked 1012 people how many books they had read in the past year. Results indicated that
x= 10.4 books and s= 16.6 books. Construct a 95% confidence interval for the mean number of books people read. Interpret
the interval.
Click the icon to view the table of critical t-values.
Construct a 95% confidence interval for the mean number of books people read and interpret the result. Select the correct
choice below and fill in the answer boxes to complete your choice.
(Use ascending order. Round to two decimal places as needed.)
OA. There is 95% confidence that the population mean number of books read is between
OB. If repeated samples are taken, 95% of them will have a sample mean between
OC. There is a 95% probability that the true mean number of books read is between
and
and
and
Option C: We can say with 95% confidence that the true mean number of books people read in the past year is between 9.41 and 11.39 books.
What is confidence interval?A confidence interval is a set of values created from a sample of data that, at a given level of confidence, are likely to include the true population parameter. It is employed to estimate a population parameter that is unknown, like the mean or proportion.
On the other hand, a prediction interval is a set of values that, given a certain level of confidence, are likely to include the value of an upcoming observation from the same population. Based on the sample data, it is used to forecast how a future observation will turn out.
The confidence interval is given by the formula:
CI = x ± t*(s/√n)
Now, for 95% confidence interval, the level of significance is α = 0.05.
Also, α/2 = 0.025 and t = 1.962 we have:
CI = 10.4 ± 1.962*(16.6/√1012)
CI = 10.4 ± 0.99
CI = (9.41, 11.39)
Hence, we can say with 95% confidence that the true mean number of books people read in the past year is between 9.41 and 11.39 books.
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Terrence finished the word search in 3/4 the time it took Frank. Charlotte finished the word search in 2/3 the time it took Terrance. Frank finished a word search in 32 minutes. how long did it take Charlotte to finish the word search?
In order to calculate the time that Charlotte took we just first have to calculate the time that Terrence took to finish the word search, that is done by multiplying the 32 minutes that Frank took by the three quartes that it took Terrence:
[tex]\text{Time}=\huge \text(\dfrac{3}{4} \huge \text)(32)[/tex]
[tex]\text{Time}=\huge \text(\dfrac{96}{4} \huge \text)[/tex]
[tex]\text{Time}=24[/tex]
So now we know that It took Terrence 24 minutes, and that Charlotte took two thirds of that time so we now just multiply that:
[tex]\text{Time}=\huge \text(\dfrac{2}{3} \huge \text)(24)[/tex]
[tex]\text{Time}=\huge \text(\dfrac{48}{3} \huge \text)[/tex]
[tex]\boxed{\underline{\bold{Time=16}}}[/tex]
Keegan shares 1 1/3 pizzas with a friend. They eat 1/2 of the pizza. How much pizza do they eat?
Answer: 2/3
Step-by-step explanation:
Answer: They eat 2/3 of the pizza
Step-by-step explanation:
1 1/3 = 4/3
(4/3)*(1/2)
=4/6
=2/3
find the value for each variable in simplest radical form pleasee
Answer:
7) x= 8[tex]\sqrt{3}[/tex] y= 8
8) x= 10[tex]\sqrt{3}[/tex] y= 15
9) x= 22 y= 11[tex]\sqrt{3}[/tex]
10) x= 4 y= 4[tex]\sqrt{3}[/tex]
11) x= 6[tex]\sqrt{3}[/tex] y= 12[tex]\sqrt{3}[/tex]
12) x= 13 y= 26
Step-by-step explanation:
Just use your 30, 60, 90 triangle rules:
hypotenuse= 2x the shortest leg (the one opposite the angle measuring 30 degrees)
longer leg= the shortest leg times [tex]\sqrt{3}[/tex]
to find shortest leg, substitute the variables
Let g(x)=x^5+x^4. On which intervals is g decreasing
g(x) is decreasing function on the interval (-4/5, 0).
What is calculus?Calculus is a branch of mathematics that deals with the study of rates of change and the accumulation of small changes to find the overall effect. It provides a framework for modeling and analyzing a wide range of phenomena, from the motion of objects to the behavior of complex systems.
Calculus is divided into two main branches: differential calculus and integral calculus. Differential calculus deals with the study of rates of change, slopes of curves, and the computation of derivatives. Integral calculus deals with the study of accumulation of small changes, computation of areas, and the computation of integrals.
To determine where g(x) is decreasing, we need to find where its derivative is negative.
The derivative of g(x) is:
g'(x) = 5x⁴ + 4x³
To find where g'(x) < 0, we can factor out a common term of x³ to get:
g'(x) = x³(5x + 4)
So, g'(x) < 0 when:
x³ < 0 and 5x + 4 < 0
This condition is not possible, as x³ is never negative.
x³ > 0 and 5x + 4 < 0
This condition is satisfied when -4/5 < x < 0.
Therefore, g(x) is decreasing function on the interval (-4/5, 0).
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Review the data and calculate the probability that if Cass runs into one of the financial institution’s customers at random, that person has applied for a home mortgage this year.
The probability that person has applied for a home mortgage this year is 0.094.
What is probability?
The likelihood of an event occurring can be calculated using probability. The only usable result is the probability that an event will occur. a scale with 0 representing impossibility and 1 representing a certain occurrence.
From the question, we get the following information:
⇒ Total Number of customers = 3000 + 24300
⇒ Total Number of customers = 27300
⇒ Persons who applied = 2430 + 150
⇒ Persons who applied = 2580
So, we get
⇒ Probability = [tex]\frac{2580}{27300}[/tex]
⇒ Probability = 0.094
Hence, the probability that person has applied for a home mortgage this year is 0.094.
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2 only can you solve associative, identity and inverse of this
The set 2Z is associative under the operation *, has an identity element of 2, and every element (except for 0) has an inverse element.
Solving the associative, identity and inverse of this the setThe set 2Z is defined as follows:
2Z = {2n | n ∈ Z, a * b = a + b}
Associative element:
There exists an associative element in 2Z if, for all a, b, and c in 2Z, the equation a*(bc) = (ab)*c holds.
Let a, b, and c be arbitrary elements of 2Z:
a = 2n₁
b = 2n₂
c = 2n₃
Then we have:
a*(bc) = a(2n₂2n₃) = a(4n₂n₃) = 2n₁ + 4n₂n₃ = 2(n₁ + 2n₂n₃)
(a*b)c = (2n₁2n₂)*2n₃ = (4n₁n₂)*2n₃ = 8n₁n₂n₃ = 2(2n₁n₂n₃)
Therefore, a*(bc) = (ab)*c, and 2Z is associative under the operation *.
Identity element:
There exists an identity element in 2Z if there exists an element e in 2Z such that, for all a in 2Z, the equation ae = ea = a holds.
Let e be an arbitrary element of 2Z:
e = 2n
Then we have:
ae = a2n = a + 2n = 2m, where m = n + (a/2) ∈ Z
ea = 2na = a + 2n = 2m', where m' = n + (a/2) ∈ Z
Therefore, e = 2n is an identity element in 2Z.
Inverse element:
There exists an inverse element in 2Z if, for all a in 2Z, there exists an element b in 2Z such that ab = ba = e, where e is the identity element.
Let a be an arbitrary element of 2Z:
a = 2n
Then we need to find an element b in 2Z such that ab = ba = e = 2.
We have:
ab = ba = 2n*b = 2
Therefore, b = 1/(2n) is the inverse of a in 2Z if n ≠ 0.
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Mohal plans to repaint some classroom bookcases. He has 1 1 /8 gallons of paint. All of the bookcases are the same size and each requires 1/8gallon of paint. How many bookcases will he be able to paint?
Mohal will be able to paint 9 bookcases for the amount of paint.
What is fraction?An expression for a portion of a whole is a fraction. It is represented by the numerator above the denominator, with a horizontal line separating the two numbers. In mathematics, fractions are used to represent fractions of a whole or values that are not whole numbers. Like whole numbers, they can be multiplied, split, added, and subtracted. Ratios and proportions, which are crucial ideas in many branches of mathematics and science, are also represented by fractions.
Given that, he has 1 1 /8 gallons of paint.
Thus, number of bookcases are:
1 1/8 ÷ 1/8 = (9/8) ÷ (1/8) = 9
Hence, Mohal will be able to paint 9 bookcases for the amount of paint.
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please help me with this!!!! help!!! I need the answer! Find the area and permeter of the triangle
Answer: Area 6 Perimeter 12
Step-by-step explanation:
First, you have to find the perimeter. 4+5+3=12. Then, you need to find the area, which is base*height/2. The base is 3 and the height is 4. 4*3=12. Then you need to do 12/2=6. The area is 6
Answer:
The answer for P=12cm,A=6cm²
Step-by-step explanation:
Perimeter of triangle=a+b+c
P=5+3+4
P=12cm
Area of triangle =1/2bh
A=1/2×3×4
A=2×3
A=6cm²
Determine if the collection is not well defined and therefore not a set.
The collection of whole numbers greater than one trillion
below
Answer: The collection of whole numbers greater than one trillion below is well defined and is a set. It consists of all whole numbers greater than 1 trillion and less than infinity. Although the set may be infinite, it is still well defined and can be defined using set-builder notation as:
{ x ∈ ℤ | 1,000,000,000,000 < x < ∞ }
or using interval notation as:
(1,000,000,000,000, ∞)
Step-by-step explanation:
What is the value of x and y?
Do not include units (degrees) in your answer.
I hope this helps you .
