The Brunsons had a new concrete patio installed in the shape of a semicircle as shown.
Mr. Brunson wants to cover the patio with concrete sealer. What is the area he will need to cover with concrete sealer? Use 314 for R. Round to the nearest hundredth
if necessary.
Answers
Mr. Brunson will need to cover approximately 49,106.15 square units of the patio with concrete sealer.
What is area of a circle ?
Area of circle can be defined as product of pi and square of radius .
To find the area of the semicircle, we need to use the formula for the area of a circle, but divide it by 2 since we only have half of a circle. The formula for the area of a circle is:
A = πr²
where A is the area of the circle, and r is the radius.
In this case, we have a semicircle, so we need to use half of the formula:
A = (πr²)/2
We are given that R = 314, so we can substitute that into the formula:
A = (π(314)²)/2
Using a calculator and rounding to the nearest hundredth, we get:
A ≈ 49106.15
Therefore, Mr. Brunson will need to cover approximately 49,106.15 square units of the patio with concrete sealer.
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Related Questions
Test (Spring 2023)
Solve the equation. Check your solution.
2x-4-18x + 4
Answers
Answer:
bring -18x to 2x
2x-18x
then bring -4 to +4
2x-18x+4-4
16x
Can’t really explain how I got it
what does it mean if the first of a two step tuberculin skin test is negative and the second is positive? what does it mean if both tests are negative?
Answers
It reads the second test. o Negative - assume that the person is not infected. o If positive, take a prior TB infection into consideration. Any asymptomatic person whose chest X-ray shows no signs of an active illness will be forwarded to the health department.
What brings about TB infection?
The bacteria Mycobacterium tuberculosis is the one that causes tuberculosis (TB).
When someone who has active TB disease in their lungs coughs or sneezes and the TB bacteria-containing droplets are ejected, the disease is disseminated when the other person inhales them.
What transpires if you have TB?
Feelings of sickness or weakness, weight loss, a high temperature, and nocturnal sweats are some of the common signs of TB disease.
Coughing, chest pain, and the coughing up of blood are other signs of TB lung disease. Depending on the location affected, TB illness symptoms may manifest in various body parts.
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3/4 - 1 1/4
Just need an step by step
Answers
3/4-2 3/4= -2
Answer:
Step-by-step explanation: 3/4 + 11/4= (3 + 11)/4
= 14/4
= 7/2 or 3[tex]\frac{1}{2}[/tex]
a scatter plot shows multiple select question. if an obvious association exists between two variables. pairs of observations (x1, y1) . . . (xn, yn) on an x-y graph. only nonlinear relationships. only linear relationships..
Answers
A linear relationship can be expressed by the equation y = mx + b, where m is the slope of the line and b is the y-intercept.
This equation can be used to calculate the relationship between two variables, x and y. For example, if we have two sets of data points (x1, y1)…(xn, yn) we can calculate the slope m and the y-intercept b as follows:
m = (sum of (x_i - x_mean)*(y_i - y_mean))/(sum of (x_i - x_mean)^2)
b = y_mean - m*x_mean
Where x_mean and y_mean are the sample means of the x and y variables respectively.
Once we have calculated m and b, we can use the equation y = mx + b to describe the linear relationship between x and y. We can also use this equation to predict the value of y for a given x value. For example, if m = 2 and b = 0, then the equation becomes y = 2x and we can predict that when x = 1, y = 2.
In contrast, a nonlinear relationship is one which cannot be described by the equation y = mx + b, as the relationship between x and y is not linear. Instead, a nonlinear relationship is one in which the relationship between x and y is described by a more complex equation, such as y = ax^2 + bx + c.
To summarise, a linear relationship between two variables can be described by the equation y = mx + b, where m is the slope and b is the y-intercept, while a nonlinear relationship is one which cannot be described by this equation and is instead described by a more complex equation.
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At lake view middle school, there are 2 homeroom teachers assigned to every 48 students. Is the number of students at this school proportional to the number of teachers? Explain your reasoning
Answers
Answer:
Yes
Step-by-step explanation:
Since it literally says "there are 2 homeroom teachers assigned to every 48 students", this means that it is a ratio because 2 teachers: 48 students are proportional.
Jen is a biologist studying endangered and at-risk species in Mongolia. When she first started
studying the snow leopard population, she estimated that there were 1,000 snow leopards in
Mongolia. After one year, Jen estimated that the population had decreased to 990. She
expects the snow leopard population to continue decreasing each year.
Write an exponential equation in the form y = a(b) that can model the estimated snow
leopard population in Mongolia, y, in x years.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y =
00
(0)
To the nearest whole number, how many snow leopards can Jen expect there to be in
Mongolia in 5 years?
snow leopards
O
3
31
D
2
Answers
The population of the leopard in 5 years is 951
How to determine the exponential functionFrom the question, we have the following parameters that can be used in our computation:
Initial population, a = 1000
After one year = 990
This means that the rate r is
r = 990/1000
r = 0.99
The function is represented as
y = ar^x
So, we have
y = 1000(0.99)^x
In 5 years, we have
y = 1000(0.99)^5
y = 951
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I need help with answering this image
Answers
The value of the missing internal angle in the irregular polygon is equal to 125°.
How to determine the missing measure of the remaining internal angle
The sum of internal angles (S), in degrees, in any convex polygon is determined by the following formula:
S = 180 · (n - 2)
Where n is the number of sides in the polygon.
According to the image seen beside, we find an irregular pentagon, that is, a polygon with five sides. First, determine the sum of internal angles:
S = 180 · (5 - 2)
S = 180 · 3
S = 540°
Second, find the value of the missing internal angles:
y = 540° - 86° - 142° - 72° - 115°
y = 125°
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What is the product of the expression, 4x(x2)? (1 point)
1. 4x3
2. 16x2
3. 4x2
4. 8x
Answers
The product of the given expression; 4x (x²) as required to be determined is; Choice 1; 4x³.
Which expression represents the product as required?It follows from the task content that the product of 4x (x²) is to be determined as required.
Since the given expression is; 4x (x²); we have that;
4 • x • x²
It therefore follows from the product of powers law of indices that we have;
4•x³
= 4x³.
Ultimately, the product of the expression is; 4x³.
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which expression fails to compute the area of a triangle having base b and height h (area is one-half base time height)?
Answers
The expression fails to compute the area of a triangle having base b and height h is (1.0 /2.0)*b*h.
Therefore the answer is A.
The correct expression to compute the area of a triangle having base b and height h is (1/2) * b * h, or equivalently, 0.5 * b * h.
Expression A is incorrect because it uses floating-point division, which may result in round-off errors or inaccuracies in the computation.
Expression B is the correct expression because it uses integer division and the division by 2 is clear.
Expression C is also correct because it uses floating-point division and the division by 2.0 is clear.
Therefore, both expressions B and C are correct, and expression D is a correct equivalent form of B and C.
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--The question is incomplete, answering to the question below--
"which expression fails to compute the area of a triangle having base b and height h (area is one-half base time height)?
A. (1.0 /2.0)*b*h
B. (1 /2)*b*h
C. (b*h)/2.0
D. 0.5*b*h"
the maximum weight, w, that a stepladder can hold is 250 pounds. which inequality represents this situation?
Answers
w ≤ 250
This inequality can be used to represent the maximum weight that a stepladder can hold, which is 250 pounds. In other words, the weight, w, must be less than or equal to 250 pounds.
The weight, w, must be less than or equal to 250 pounds. This inequality can be used to represent the maximum weight that a stepladder can hold, which is 250 pounds. In other words, if the weight of the object being placed on the stepladder is greater than 250 pounds, it is not safe to use the stepladder. This inequality helps to ensure the safety of the person using the stepladder, as it limits the amount of weight that can be placed upon it. Furthermore, it also helps to protect the stepladder itself, as it prevents it from being overloaded with too much weight, which could cause it to break or malfunction. In conclusion, the inequality w ≤ 250 represents the maximum weight that a stepladder can safely hold.
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As part of their opening day celebration, Benny’s Bakery made 150 cupcakes. The cupcakes all looked identical on the outside, but 6 of them had caramel inside. Customers who bought a cupcake with a caramel inside won a free cake. The cupcakes were randomly arranged and customers were allowed to choose their own cupcakes. Zoe was the first customer in line and bought three cupcakes. What is the probability that exactly one of Zoe’s cupcakes had caramel inside?
Answers
The probability that exactly one of Zoe's cupcakes had caramel inside after the cupcakes were randomly arranged and customers were allowed to choose their own cupcakes is 1/3266.
The probability that exactly one of Zoe's cupcakes had caramel inside can be calculated as follows:
P(exactly one cupcake with caramel) = (number of ways to choose one cupcake with caramel) / (total number of combinations of three cupcakes)
There are 6 cupcakes with caramel, so there are 6 ways to choose one cupcake with caramel.
Out of 150 cupcakes, there are 150 choose 3 = 19,600 ways to choose three cupcakes.
So, the probability that exactly one of Zoe's cupcakes had caramel inside is:
P(exactly one cupcake with caramel) = 6 / 19,600 = 1/3,266
Therefore, the probability that exactly one of Zoe's cupcakes had caramel inside is 1/3,266.
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There were 84 runners to start a race in the first half of the race 1/3 of them dropped out in the second half of the race 2/7 of the remaining runners dropped out how many runners finish the race 
Answers
Answer:
40
Step-by-step explanation:
84 runners to start a race
in the first half of the race 1/3 of them dropped out = 84/3 = 28 dropped out
so 56 left
in the second half of the race 2/7 of the remaining runners dropped out
2/7 *56 =16 dropped out
so 56-16 = 40 left
how many runners finish
40
3
For the polynomial function f, when f (x) is divided by x-9, the remainder is 7. Which of the
following must be true about the graph of y = f (x) in the xy-plane?
It passes through the point (7,-9).
It passes through the point (-9,7).
It passes through the point (7,9).
It passes through the point (9,7).
Answers
3rd option is correct.
The number of bees in a large garden is decreasing by 2.5% every year. If this year it has 8 million bees, how many millions of bees will be there in 6 years? Round to the nearest hundredth. million bees
Answers
Answer:
I have solved it and attached in the explanation.
Step-by-step explanation:
Nader plans to buy a used car. He can afford to pay $280 at the end of each month for three years. The best interest rate he can find is 9.8%/a, compounded monthly. For this interest rate, the most he could spend on a vehicle is $8702.85. Determine the amount he could spend on the purchase of a car if the interest rate is 9.8%/a, compounded annually.
Answers
Nader can spend on the purchase of a car if the interest rate is 9.8%/a, compounded annually, is $8715.82
Compound interest is the interest that is earned on the principal amount of a loan or investment, as well as the interest that is earned on the accumulated interest.
In this case, Nader wants to purchase a used car and can afford to pay $280 per month for three years. He has found the best interest rate he can get, 9.8%/a, compounded monthly. However, if the interest rate is compounded annually, the most he could spend on the vehicle will be different.
To calculate this, we need to use the formula for compound interest, which is
A = P(1 + r)ˣ,
where A is the total amount, P is the principal amount, r is the interest rate, and x is the time period.
When we apply the values on it, then we get,
=> A = $8702.85(1 + 9.8)³
=> A = $8715.82
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X and Z are endpoints of a segment, and point T is on the segment. If XZ = 3x, XT = x + 3, and TZ = 13, then x = and XZ =
Answers
We can then plug this value into the given for XZ, which is 3x, to solve for the length of XZ. This comes out to be 18. Therefore, the value of x is 6, and the length of XZ is 18.
x = 6, XZ = 18
To solve for x, we can use the formula for the midpoint of a segment, which is (x + z)/2.
Plugging in the given values, we get (x + 13)/2 = 6.
Simplifying, we get x = 6.
To solve for XZ, we can simply plug in the given value for x, which is 6.
Therefore, XZ = 3(6) = 18.
Given three values related to a line segment, XZ, XT, and TZ, we can solve for both the value of x and the length of XZ. To do this, we can use the formula for the midpoint of a segment, which is (x + z)/2. Plugging in the given values for XT and TZ, we can solve for x, which comes out to be 6. We can then plug this value into the given for XZ, which is 3x, to solve for the length of XZ. This comes out to be 18. Therefore, the value of x is 6, and the length of XZ is 18.
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What is the sum of 17.25 and 1.725 , to the nearest integer?
Answers
then add:
17.250
+ 1.725
————
18.975
rounded to the nearest integer would mean the sum is 19.
how much commission would a salesperson earn for selling a $25.000. car? he receives an 18% commission
Answers
The commission earned by the salesperson for selling a $25,000 car with an 18% commission rate can be calculated by multiplying the price of the car by the commission rate:
Commission = 0.18 * $25,000
Commission = $4,500
Therefore, the salesperson would earn a commission of $4,500 for selling the car.
in 1991, the moose population in a park was measured to be 3270. by 1997, the population was measured again to be 4770. if the population continues to change linearly: a.) find a formula for the moose population, , in terms of , the years since 1990
Answers
Step 1: Calculate the rate of change in the moose population.
The rate of change in the moose population can be calculated by subtracting the 1991 population (3270) from the 1997 population (4770) and dividing the result by the number of years (7).
Therefore, the rate of change in the moose population is (4770 - 3270) / 7 = 700 moose/year.
Step 2: Find the formula for the moose population in terms of the years since 1990.
The formula for the moose population in terms of the years since 1990 is P(t) = 3270 + 700t, where t is the number of years since 1990.
A population may grow as a result of certain changes. Animal populations that consume certain plants may grow if there are more plants present than typical in a region. If the population of one species rises, the population of animals that consume that animal may also rise.
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HELP DUE TOMORROW WILL GIVE U BRAINLIEST!! solve for the value of q
Answers
Answer:
Step-by-step explanation:
The straight line is an angle of 180. If given an angle of 57 and 90, subtract from 180.
180 - 90 - 57 = 8q + 1
33 = 8q + 1
8q = 32
q = 4
Step by step
The straight angle has a sum of 180 degrees
We know 57
We know the right angle is 90
The unknown angle is 8q + 1
So the sum of
57 + 90 + 8q + 1 = 180
Simplify
148 + 8q = 180
Subtract 148 from both sides to isolate variable
148 - 148 + 8q = 180 - 148
Simplify
8q = 32
Divide both sides by 8 to solve q
8/8q = 32/8
Simplify
q = 4
Now we solve the unknown
8q + 1
Sub value of q into equation
(8)(4) + 1
32 + 1 = 33
Now add all 3 angles
33 + 90 + 57 = 180
Problem solved!
equations 4 x minus 5 y = 5, 3 x + 10 y = 20, 4 x minus 5 y = negative 5, and 3 x + 10 y = negative 20 are shown on the graph below.
On a coordinate plane, there are 4 lines. Green line goes through (0, 1) and (2.5, 3). Orange line goes through (0, negative 1) and (2.5, 1). Blue line goes through (0, 2) and (3.5, 1). Pink line goes through (0, negative 2) and (3.5, negative 3).
Which system of equations has a solution of approximately (–2.7, –1.2)?
4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20
4 x minus 5 y = 5 and 3 x + 10 y = 20
4 x minus 5 y = 5 and 3 x + 10 y = negative 20
4 x minus 5 y = negative 5 and 3 x + 10 y = 20
Answers
The solution is Option A.
The system of equations is 4x - 5y = -5 and 3x + 10y = -20
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
4x - 5y = -5 be equation (1)
3x + 10y = -20 be equation (2)
Now , the solution to the equations is ( -2.7 , -1.2 )
Substituting the values of x and y in the equation , we get
4 ( -2.7 ) - 5 ( -1.2 ) = -5
-10.8 + 6 = -5
-4.8 ≈ 5
And ,
3 ( -2.7 ) + 10 ( -1.2 ) = -20
-8.1 + ( -12 ) = -20
-8.1 - 12 = -20
-20.1 ≈ 20
Hence , the equations are 4x - 5y = -5 and 3x + 10y = -20
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Unemployment rose from January to March a year from 2.5% to 2.9%. How big was the increase in percentage points and in percent?
Answers
Answer:
0.4% increase although I don't know what a percentage point is sorry.
Step-by-step explanation:
Answer:
The increase in percentage points was 0.4
The increase in percent was 16%
Step-by-step explanation:
To find the increase in percent, divide the increase in percentage points by the initial unemployment rate and multiply by 100: (0.4 / 2.5) * 100 = 16%.
Courtney’s Bookstore is having a clearance sale. All paperbacks are one price and all hard covers are another price. Abigail buys 5 paperback books and 2 hardcover books for $29. Rodney buys 2 paperback books and 1 hardcover books for 13 dollars. What is the price of each type of book? Use a system of equations to solve.
Answers
Answer: Total price: $28.67
Step-by-step explanation: From Courtney Summers, the author of Cracked Up To Be, comes a dark new tale of high school rivalry in which vicious rumors and nasty tricks are the currency that buys you popularity or seals your fate at the bottom of the food chain.
A ballon archway has been ordered for decorating the high school gym for a 1950 style prom. The archway will contain 275 balloon , each holding 1. 2 liters of helium. Each balloon has a mass of 2. 7 milligrams when empty , and all the string and fixing that hold the balloon together total another 45 grams , If the helium has a density of 0. 1785 grams per liter , what is the mass of the entire archway ?
Answers
Step 1: Calculate the total volume of helium needed for the archway.
The total volume of helium needed for the archway is 275 balloons x 1.2 liters/balloon = 330 liters.
Step 2: Calculate the mass of the helium needed for the archway.
The mass of the helium needed for the archway is 330 liters x 0.1785 grams/liter = 58.85 grams.
Step 3: Calculate the mass of the balloons and string.
The mass of the balloons and string is 275 balloons x 2.7 milligrams/balloon + 45 grams = 74.75 grams.
Step 4: Calculate the total mass of the archway.
The total mass of the archway is the sum of the mass of the helium and the mass of the balloons and string.
Therefore, the total mass of the archway is 58.85 grams + 74.75 grams = 133.6 grams.
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∠A and ∠B are vertical angles. If m∠A = (7x+4) and m∠B = (8x - 20) then find the measure of ∠B
Answers
Since ∠A and ∠B are vertical angles, they have equal measures, so m∠A = m∠B. We can set the two expressions equal to each other:
7x + 4 = 8x - 20
Solving for x:
-x = -24
x = 24
So, m∠A = 7x + 4 = 7 * 24 + 4 = 188, and m∠B = 8x - 20 = 8 * 24 - 20 = 188.
Therefore, the measure of ∠B is 188 degrees.
In the very center of the Irenic Sea lie the beautiful Nisos Isles. In 1998 the number of people on these islands was only 200, but the population triples every 25 years. Queen Irene has decreed that there must be at least 1.5 square miles for every person living in the Isles. The total area of the Nisos Isles is 24,900 square miles. c In how many years, approximately, from 1998 will the population of Nisos be as large as Queen Irene has proclaimed that the islands can support?
Answers
The population of Nisos be as large as Queen Irene has proclaimed that the islands can support is 16600.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Queen Irene has decreed that there must be at least 1.5 square miles for every person living in the Isles.
The total area of the Nisos Isles is 24,900 square miles.
Here, 24,900/1.5
= 16600
Therefore, the population of Nisos be as large as Queen Irene has proclaimed that the islands can support is 16600.
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1 kg of wheat costs $10 how much does 260g cost
Answers
260 g is equivalent to 0.26 kg
0.26 x 10 = 2.6
A jar contains only pennis, nickels, dimes, and quarters. there are 24 pennies, 23 dimes, and 22 quarters. There are 80 coins in all. How many of the coins are not nickels? if n represents the number of nickels in the jar what equation could you use to find n?
Answers
Answer:
Step-by-step explanation:
m
Mr.White is renting a van for one week and a few additional days d he does not have to pay a per mile fee evaluate the expression 260+70d to find how much he will pay for a 10-day rental
Answers
Answer:
For a 10-day rental, d = 10 - 7 = 3 days.
Step-by-step explanation:
So, the total amount Mr. White has to pay is 260 + 70d = 260 + 70 * 3 = 260 + 210 = 470 dollars.
Help me please not sure how to do this. it doesn't make sense to me.
Answers
Answer:
? = 5cm
Step-by-step explanation:
We know the right side is 14 cm; that is the combination of the 9 cm and the length of the ?
So, to find the ? we take
14 - 9 = 5cm
So, the ? equal 5cm