Answer:
We can use the formula to find the length of a circular arc given the measure of the central angle and the radius:
Length of arc = (central angle measure / 360) x 2πr
where r is the radius of the circle.
Given that the central angle measure is 40° and the length of the arc is 6 cm, we can set up the equation:
6 = (40/360) x 2πr
Simplifying the fraction and solving for r, we get:
6 = (1/9) x 2πr
r = 9 x 6 / 2π
r = 27/π
So the radius of the circle is 8.59 cm (rounded to two decimal places).
I can’t seem to figure it out
The dimensions of the circles are as follows
1. Chord AB = 9
2. Chord FG = 6
3. Chord KM = 8
4. Arc length XY = 105 degrees
5. Arc length TU = 85 degrees
6. Arc length TU = 130 degrees
7. QS is the diameter because it bisects the chord and perpendicular to the chord
8. QS is not a diameter because it does not bisect the chord
9. QS is not a diameter because it is not perpendicular the chord
What is the relationship between chord and intercepted arcChords with matching measurements share congruence due to being equidistant from the circle's center.
Congruent radii stem from each chord midpoint, indicating two equivalent right triangles are created; therefore, their respective intercepted arcs also equal in degree measurement.
Therefore, if two chords possess uniform lengths, they will intercept equal degrees along the circle.
Learn more about chords at
https://brainly.com/question/4470346
#SPJ1
Multiply 6 × 3 then divide by 2 how do you simplify that expression
Answer:
6 × 3 = 18
18 ÷ 2 = 9
Therefore, the expression 6 × 3 ÷ 2 simplifies to 9
Step-by-step explanation:
To simplify the expression, we follow the order of operations or PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right.There
are no parentheses or exponents,so we multiply 6 by 3 to give us 18.
Then we divide 18 by 2 to give us 9.
There for the Expression simplifies to 9.
HOPE IT HELPS.
PLEASE MARK ❣️‼️ ME AS BRAINLIEST .
The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x = 2.
x = 4
y = -1
The value of y when x = 2 is -2.
We are given that;
x = 4
y = -1
Now,
To write an equation relating x and y for inverse variation, you can use the formula123:
xy = k
where k is a constant.
To find the value of k, you can use the given values of x and y:
x = 4
y = -1
xy = k
(4)(-1) = k
k = -4
So, the equation relating x and y is:
xy = -4
To find y when x = 2, you can substitute x = 2 in the equation and solve for y:
xy = -4
(2)y = -4
y = -4/2
y = -2
Therefore, by the given equations the answer will be -2.
Learn more about linear equations;
https://brainly.com/question/10413253
#SPJ1
A baker produces 400 brownies a day at a cost of 25 cents per brownie. If all the brownies are sold each day, what is the minimum selling price per brownie to make a daily profit of at least $420?
The minimum selling price per brownie to make a daily profit of at least $420 is $1.30.
What is the minimum selling price per brownie to make a daily profit of at least $420?Given that: A baker produces 400 brownies a day at a cost of 25 cents per brownie.
Let's begin by calculating the total cost of producing 400 brownies a day:
Cost per brownie = 25 cents = 0.25 dollars
Total cost = 400 × 0.25 = 100 dollars
To make a daily profit of at least $420, the total revenue should be:
Total revenue = Total cost + Minimum profit
Total revenue = 100 + 420 = 520 dollars
The minimum selling price per brownie to achieve this revenue can be calculated as:
Selling price per brownie = Total revenue / Number of brownies produced
Selling price per brownie = 520 / 400
Selling price per brownie = 1.3 dollars
Therefore, the minimum selling price is $1.30 per brownies.
Learn more about markup and selling price here: https://brainly.com/question/28017453
#SPJ1
Which line plot displays a data set with an outlier?
Answer:
The 3rd one or C
Step-by-step explanation:
A B
C D
A 105 kg halfback runs north and is tackled by a 156 kg opponent running south at 6 m/s. The collision is perfectly inelastic. Just after the tackle, both players move at a velocity of 3 m/s north. Calculate the velocity (m/s) of the 105 kg player just before the tackle. Answer to one decimal place.
We can solve this problem using the conservation of momentum and the law of conservation of energy. Here's how:
Let v be the velocity of the 105 kg player just before the tackle. Then the velocity of the 156 kg player just before the tackle is -6 m/s, since he is running south. After the tackle, the two players move at a velocity of 3 m/s north, so we have:
Total momentum before = Total momentum after
(105 kg)(v) + (156 kg)(-6 m/s) = (105 kg + 156 kg)(3 m/s)
Simplifying and solving for v, we get:
v = (105 kg + 156 kg)(3 m/s) + (156 kg)(6 m/s) / 105 kg
v = 2.85 m/s
Therefore, the velocity of the 105 kg player just before the tackle was 2.85 m/s north.
Correct answer gets brainliest!! So please help!!
Answer:
b
Step-by-step explanation:just do it heh
Answer:
The Correct answer is D
the lower whiskers from 10 to 28
Please help me with these 6th grade math questions.
Answer:
1. s < 40
2. w ≤ 12
3. D ≥ 110
4. D ≤ 3 1/2
5. w ≥ 30
6. m ≥ 45
7. t ≠ 21
8. c < 45
9. D > 1/5
10. s ≠ 45 5/6
11. h ≥ 48
12. P ≠ 5
seventeen more than a number is negative twenty-three
The number that represents the phrase is -40.
Let's use algebra to solve the problem.
If we let "a number" be represented by the variable x, we can write the first part of the sentence as "Seventeen more than a number" which can be written as:
x + 17
The problem also says that this expression is equal to negative twenty-three.
We can write that as:
x + 17 = -23
To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting 17 from both sides:
x + 17 - 17 = -23 - 17
x = -40
Therefore, the number is -40.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ1
In a football tournament, each team plays exactly 19 games. Teams get 3 points for every win and 1 point for every tie. At the end ot the tournament, Team Olympus got a total of 28 points. From the following options, how many times could Team Olympus have tied? 3, 4, 2, 5, 0?
The number of times the Team Olympus could have tied is not given in the below options
Given data ,
Let's use "W" for the number of victories and "T" for the number of ties. The information available indicates that Team Olympus played 19 games and earned a total of 28 points.
Team Olympus receives three points for each victory, so three victories would result in a total of nine points.
Team Olympus receives one point for each tie, making the sum of the tie-related points (T) equal to one times the number of ties.
We may construct the following equation using the information provided:
3W + 1T = 28 be equation (1)
Now , Since Team Olympus played 19 games in total, the total number of games (W + T) should be equal to 19.
W + T = 19 be equation (2)
Subtracting equation (2) from equation (1) , we get
2W = 9
Divide by 2 on both sides , we get
W = 4.5 wins
And , the supplied possibilities (3, 4, 2, 5, 0) do not add up to a total of 28 points, hence none of them are acceptable answers for Team Olympus.
Hence , in this situation, Team Olympus could not have tied many times
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
The table shows the distribution, by age and gender, of the million people in a certain region who live alone. Use the data in the table to find the probability that a randomly selected person living alone in the region is male.
l want the solution
The equation of tangent line related to the parametric equations is equal to y = 3 · x - 22.
How to find the equation of a tangent line
In this question we find the case of two parametric equations evaluated at t = - 1, whose tangent line equation must be found. Equation of the tangent line is introduced below:
y = m · x + b
Where:
x - Independent variable.y - Dependent variable.m - Slopeb - Intercept.First, determine the slope of the tangent line:
dx / dt = 1 + 2 · t
dx / dt = 1 - 2
dx / dt = - 1
dy / dt = 2 · t - 1
dy / dt = - 2 - 1
dy / dt = - 3
m = (dy / dt) / (dx / dt)
m = (- 3) / (- 1)
m = 3
Second, evaluate the parametric functions at t = - 1:
x = - 1 + (- 1)² + 8
x = 8
y = (- 1)² - (- 1)
y = 2
Third, determine the intercept of the tangent line:
b = y - m · x
(m = 3, x = 8, y = 2)
b = 2 - 3 · 8
b = 2 - 24
b = - 22
Fourth, write the equation of the tangent line:
y = 3 · x - 22
To learn more on tangent lines: https://brainly.com/question/27760700
#SPJ1
The population of a particular country was 23 million in 1981; in 1987, it was 32 million. The
exponential growth function A =23ekt describes the population of this country t years after 1981. Use
the fact that 6 years after 1981 the population increased by 9 million to find k to three decimal places.
K's value is around 0.055 to three decimal places.
Let's first use the given information to set up two equations:
A(0) = 23 (the initial population in millions)
A(6) = 32 (the population 6 years later in millions)
Substituting these values into the exponential growth function A = 23e^(kt), we get:
[tex]23 = 23e^(k0) = > e^{(k0)} = 1\\32 = 23e^{k*6}[/tex]
Dividing the second equation by the first, we get:
[tex]32/23 = e^{6k}[/tex]
Taking the natural logarithm of both sides, we get:
ln(32/23) = 6k
Solving for k, we get:
k = ln(32/23)/6
k ≈ 0.055
Rounding to three decimal places, we get k ≈ 0.055.
Therefore, the value of k to three decimal places is approximately 0.055.
Learn more about exponential growth and decay here:
https://brainly.com/question/17161065
#SPJ1
Principle interviewed all math and english teachers and asked them to rank his school leadership on a scale of 1 to 10. He will use the result of the survey to report to his boss to show his school management abilities
1.Non response and household bias
2.Sampling and household bias
3.Response and non response bias
4.Response and sampling bias
The correct answer is 3. Response and non-response bias.
Response bias occurs when the way that questions are asked or worded, or the context in which they are asked, influences how respondents answer them. This can lead to inaccurate or incomplete information being collected.
Non-response bias occurs when some individuals selected to participate in a survey do not respond. This can happen for various reasons, such as being unavailable, unwilling, or unable to participate. Non-response bias can skew the results of a survey because the characteristics of those who do not respond may differ from those who do respond.
In this scenario, the principal has asked all math and English teachers to rank his school leadership on a scale of 1 to 10. If some teachers do not respond to the survey or are unavailable, unwilling, or unable to participate, this could lead to non-response bias.
Additionally, if the principal has a reputation for being well-liked or well-respected, some teachers may feel pressured to give a higher rating than they otherwise would, which could lead to response bias.
To know more about Response and non-response bias follow
https://brainly.com/question/28047176
#SPJ1
What is the product of the rational expressions below?
6-X 6+** 2-X Zt
The value of the product of the rational expressions is,
⇒ (4x - 32) (x² - 36)
We have to given that;
The rational expressions is,
⇒ 4x/(x+6) times (x-8) / (x-6)
Now, We can multiply as;
⇒ 4x/(x+6) times (x-8) / (x-6)
⇒ 4x/(x+6) × (x-8) / (x-6)
⇒ 4 (x - 8) / (x + 6) (x - 6)
⇒ (4x -32) / (x² - 6²)
⇒ (4x - 32) (x² - 36)
Thus, The value of the product of the rational expressions is,
⇒ (4x - 32) (x² - 36)
Learn more aboput the multiplication visit:
brainly.com/question/10873737
#SPJ1
15 mor than twice a number
If we use the variable n to represent the unknown number, then "15 more than twice a number" can be written as:
2n + 15
Answer:
The answer is 15+2n
Step-by-step explanation:
15 more than twice a number =15+2n
The product of six and a number is 108. What is the solution to the equation 1822, 102, 648
The value of the number is 18. Option A
How to determine the valueTo determine the product of the expression, we need to consider that;
Algebraic expressions are described as those mathematical expressions that are composed of terms, their coefficients, the variables and the factors and constant values.
These expressions are also made up of mathematical operations. These operations are;
AdditionBracketParenthesesMultiplicationDivisionSubtractionFrom the information given, we have that;
The product of six and a number is 108
Let the number be x, we have;
6x = 108
Divide sides by the coefficient
x = 18
Learn about algebraic expressions at: https://brainly.com/question/4344214
#SPJ1
The acute angle with vertex Q measure 60 degrees. Use an equation to find the keasure if the obtuse angle with vertex P
The measure of the obtuse angle with vertex P is 30 degrees.
We have,
If there is an acute angle with vertex Q measuring 60 degrees, then there must be a corresponding obtuse angle with vertex P that shares the same side as angle Q.
Let's call the measure of this obtuse angle x.
By the angle sum property of triangles, the sum of the measures of the three angles in any triangle is always 180 degrees.
Therefore, we can write the equation:
60 degrees + 90 degrees + x = 180 degrees
Simplifying this equation, we get:
x = 180 degrees - 60 degrees - 90 degrees = 30 degrees
Therefore,
The measure of the obtuse angle with vertex P is 30 degrees.
Learn more about angles here:
https://brainly.com/question/7116550
#SPJ1
Solve these 4 problems
The perimeter and the area of each composite figure are, respectively:
Case 1: p = 77.6 cm, A = 304 cm²
Case 2: p = 25.1 ft, A = 28 ft²
Case 3: p = 42 mi, A = 52.5 mi²
Case 4: p = 56.5 in, A = 179.424 in²
How to determine the perimeter and the area of a figure
In this problem we need to determine the perimeter and the area of four composite figures, that is, figures formed by combining triangles and rectangles, whose area formulas are listed below:
Triangle
A = 0.5 · b · h
Rectangle
A = b · h
Where:
A - Areab - Baseh - HeightNow we find the perimeter and the area of each figure:
Case 1
p = 2 · (18.8 cm) + 2 · (20 cm)
p = 77.6 cm
A = (15.2 cm) · (20 cm)
A = 304 cm²
Case 2
p = 10 ft + 8.1 ft + 7 ft
p = 25.1 ft
A = 0.5 · (10 ft) · (5.6 ft)
A = 28 ft²
Case 3
p = 17.5 mi + 6 mi + 18.5 mi
p = 42 mi
A = 0.5 · (17.5 mi) · (6 mi)
A = 52.5 mi²
Case 4
p = 20 in + 13.9 in + 15 in + 7.6 in
p = 56.5 in
A = (7.6 in) · (13 in) + 0.5 · √[(13.9 in)² - (13 in)²] · (13 in) + 0.5 · √[(15 in)² - (13 in)²] · (13 in)
A = 98.8 in² + 31.982 in² + 48.642 in²
A = 179.424 in²
To learn more on perimeters and areas: https://brainly.com/question/11957651
#SPJ1
can someone help me on 1 through 4.
1. radius = 13cm
2. Diameter = 27.2cm
3. Diameter = 24m
4. Radius = 24. 5m
How to determine the valuesThe formula used for determining the area and also the circumference of a circle is given thus;
For the area of a circle, we have;
A = πr²
Given that the parameters are;
A is the area of the circler is the radius of the circleπ takes the value of 3.14For the circumference of a circle, we have;
C = 2πr
To calculate the diameter of a circle, we have the formula;
Diameter = 2Radius
Now, substitute the values for each
1. radius = diameter/2 = 26/2
radius = 13cm
2. When the radius = 13.6m
diameter = 2(13.6) = 27.2m
3. When the radius = 12m
diameter = 2(12) = 24m
4. When the diameter = 49m
Then, radius 49/2 = 24. 5m
Learn about circles at: https://brainly.com/question/24375372
#SPJ1
Directions - Find the sector areas of both the grey and white areas:
*Use 3.14 in place of
285⁰
8 in
in²
in
(round to two decimal places)
(round to two decimal places)
E
The sector areas of the grey and white areas are 159.09 in² and 41.87 in²
Finding the sector areas of the grey and white areas:From the question, we have the following parameters that can be used in our computation:
Radius, r = 8 inchesCentral angle,= 45 degreesThe area of shaded sector is calculated as
Area = Central angle/360 * π * Radius^2
Substitute the known values in the above equation, so, we have the following representation
Gray = 285/360 * 3.14 * 8^2 = 159.09White = (360 -285)/360 * 3.14 * 8^2 = 41.87Hence, the area is 159.09
Read mroe about area at
brainly.com/question/16656203
#SPJ1
I NEED HELP FINDING THE ANNUAL INTEREST RATE!!
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$975\\ r=rate\to \text{\LARGE 5.7\%}\to \frac{5.7}{100}\dotfill &0.057\\ n= \begin{array}{llll} \textit{times it compounds per year} \end{array}\dotfill &1\\ t=years \end{cases} \\\\\\ A = 975\left(1+\frac{0.057}{1}\right)^{1\cdot t} \implies A = 975(1.057)^t[/tex]
[1/5x-4+2y]+[2/5x+5-4y]
35 POINTS BY THE WAY
Answer: [1/5x-4+2y]+[2/5x+5-4y] simplifies to 3/5x - 2y + 1.
Step-by-step explanation:
To simplify the given expression, we need to combine like terms.
The like terms are the ones with the same variable parts.
Let's first simplify the expression inside the brackets separately:
[1/5x-4+2y] = 1/5x + 2y - 4
[2/5x+5-4y] = 2/5x - 4y + 5
Now, we can combine the simplified expressions:
[1/5x + 2y - 4] + [2/5x - 4y + 5]
= 1/5x + 2y - 4 + 2/5x - 4y + 5
= (1/5 + 2/5)x + (2y - 4y) - 4 + 5
= 3/5x - 2y + 1
Therefore, [1/5x-4+2y]+[2/5x+5-4y] simplifies to 3/5x - 2y + 1.
Christina also plans on leaving her $10,000 invested for 20 years. Write an equation representing her investment’s value, y, after x years. What is the value of Christina’s investment after 20 years?
a) An equation representing Christina's investment's value, y, after x years is y = 10,000(1.05)^x.
b) Using the above equation, Christina's investment will be worth a future value of $26,532.98 after 20 years.
How the future value is determined:Equation Method:The principal = $10,000
Annual compound interest rate = 5%
The investment period = 20 years
Let the value of the investment after x years = y
Let the number of investment periods = x
y = 10,000(1.05)^20
= $26,532.98
Online finance calculator, the future value is determined as follows:
N (# of periods) = 20 years
I/Y (Interest per year) = 5%
PV (Present Value) = $10,000
PMT (Periodic Payment) = $0
Results:
FV = $26,532.98
Total Interest = $16,532.98
Learn more about the future value at https://brainly.com/question/24703884.
#SPJ1
Question Completion:The investment compounds at a 5% interest rate yearly.
A. 950
B. 38
C. 30
D. 25
Answer:
C
Step-by-step explanation:
because i did it in school and got it correct sorry if im wrong any way
S is the midpoint of RT. R has the coordinates (13,-8), and S has the coordinates (9,5). Find the coordinates of T.
Please help (Image Attached)
The coordinates of endpoint T are (5,18).
What is the coordinates of point T?The midpoint formula is expressed as:
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
Where (x₁, y₁) and (x₂, y₂) are the coordinates of the two endpoints of the line segment.
Let's call the coordinates of point T (x,y).
Since S is the midpoint of RT, we can use the midpoint formula to find the coordinates of S:
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
((13+x)/2, (-8+y)/2) = (9,5)
Solving for x:
(13+x)/2 = 9
13 + x = 2 × 9
13 + x = 18
x = 18 - 13
x = 5
Solving for y, we get:
(-8+y)/2) = 5
-8 + y = 5 × 2
-8 + y = 10
y = 10 + 8
y = 18
Therefore, the coordinates are (5,18).
Learn more about midpoint here: brainly.com/question/29164764
#SPJ1
Write a doubling equation for the information in question 4 that will find the number of Covid 19 related deaths for any given day. Then calculate the number of deaths expected 240 days from the 100,000-death mark.
Note that the doubling equation can be written as: y = 1000 * 2⁽ˣ/⁷*⁹⁵⁾
The doubling equation for the information given in question 4 can be written as:
y = 1000 * 2⁽ˣ⁺k⁾
To solve for k, we will use the fasts that:
on 240 days after the 100,000- death mark, there will be 2 million deaths.
2000,000 = 100 * x ^(240/k)
Takin the log of both sides we have:
Log 2 (2,000) =log2 (2^240/k))
⇒ Log 2 (2,000) =240/k * log 2(2)
⇒ log 2 (2000) = 240/k
Making k subjet of the formula, we have
k = 240/log2 2000)
k [tex]\approx[/tex] 7.95
Thus, the doubling equation is y = 1000 * 2⁽ˣ/⁷*⁹⁵⁾
Learn more about doubling equation at:
https://brainly.com/question/30009863
#SPJ1
Full Question:
Although part of your question is missing, you might be referring to this full question:
- We know that the number of deaths is growing exponentially, so we can use the exponential function y = a * bnx to model it. - We also know that on day O, there were 1,000 deaths, and on day 240 after the 100,000-death mark, there will be 2,000,000 deaths. - We can use these two points to solve for a and b.
Write a doubling equation for the information in question 4 that will find the number of Covid 19 related deaths for any given day. Then calculate the number of deaths expected 240 days from the 100,000-death mark.
UCM college administrators claim that the average freshman enrollment over the last 10 years meets the university's capacity of 6,500 students. You believe hypothesize this is inaccurate and believe that UCM is underestimating the number of college freshman. Using a sample of 500
students, you determine a sample mean of 6,600 freshman. Assume o = 1,000 and a = .05.
The t-statistic value of the hypothesis is 2.236
The population mean is equal to 6,500 (H0: μ = 6500)
Alternative hypothesis:
The population mean is greater than 6,500 (Ha: μ > 6500)
We are given the sample mean (x) = 6,600, sample size (n) = 500, population standard deviation (σ) = 1,000, and level of significance (α) = 0.05.
First, we need to calculate the t-statistic using the formula:
t = (X - μ) / (σ / √n)
where X is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
Substituting the given values, we get:
t = (6,600 - 6,500) / (1,000 / √500)
= 2.236
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ1
1) Ellen works as a train conductor. On her last route, she counted the number of riders who got on at each stop. 11 16 3 0 2 4 0 ) which box plot represents the data? 8 0 New riders 2 New riders CO New riders 12 6 0 16 16 14 4 8 20 20
The box plot that represents the data is the second box plot.
How to find the correct box plot ?To find the box plot, look for the measure that is different in both box plots and you will find it to be the value of Q1.
Therefore find the value of Q1 in the data by Ellen by first arranging the riders in order :
0, 0, 2, 2, 3, 4, 6, 8, 8, 9, 11, 14, 16
Q1 would be at the 25 th percentile :
= 25 / 100 x 13
= 3.25 position
Q1 is therefore 2 which makes the correct box plot the second one which shows the Q1 value as 2.
Find out more on box plots at https://brainly.com/question/24335827
#SPJ1
Explain how to solve the equation and then check the solution.
9 = q – 4
Sample Response: Use the inverse operation to isolate the variable. Undo the subtraction of 4 by adding 4 to both sides of the equation. –4 + 4 = 0, and 9 + 4 is 13. The solution is q = 13. Check the solution by substituting 13 for q in the original equation, and then simplify. 13 – 4 is 9 and 9 = 9 is a true statement, so 13 is the solution.
Step-by-step explanation:
–4 + 4 = 0, and 9 + 4 is 13. The solution is q = 13. check it by taking 13 for q in the original equation, and then simplify. 13 – 4 is 9 and 9 = 9 is a true statement, 13 is the answer
