Radius of the semicircle is 8 km and diameter is 16 km.
What is area of the semicircle?
The area of the semicircle can be determined using the formula,\(A = 1/2 * \pi * r^2\)
The area of a semicircle is given by the formula:
\(A = 1/2 * \pi * r^2\)
where A is the area and r is the radius.
We are given that the area of the semicircle is 32π km². So, we can set up the equation:
\(32\pi = 1/2 * \pi * r^2\)
Simplifying this equation, we get:
r² = (2 × 32π) / π = 64
Taking the square root of both sides, we get:
r = 8 km
So, the radius of the semicircle is 8 km.
The diameter of the semicircle is twice the radius, so:
d = 2r = 2 × 8 km = 16 km
Therefore, the diameter of the semicircle is 16 km.
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9 over n = 3over 4 solve for n
Answer:
Step-by-step explanation:
9/n = 3/4 Cross Multiply
3n = 36 Divide by 3
n = 36/3
n = 12
For ANOVA, the test statistic is called an test statistic, also called an _ ratio. The ratio is the MS__ (2) divided by the MS__ (3). The first two blanks are completed with the letter this author uses for the ANOVA test statistic. What is this letter? ___ Fill in blank (2): ___ Fill in blank (3) ___
The ANOVA F test is used to determine if the means of three or more populations are equal. The F test is utilized to calculate the significance of the difference between the sample group means in the ANOVA test. The F ratio is the mean square ratio, which is the between-groups variance divided by the within-groups variance.
The test statistic for ANOVA is called the F test statistic, also known as an F ratio. The F ratio is obtained by dividing the MSb (2) by the MSw (3).
The ANOVA F test is used to determine if the means of three or more populations are equal. The F test is utilized to calculate the significance of the difference between the sample group means in the ANOVA test.
The F ratio is the mean square ratio, which is the between-groups variance divided by the within-groups variance.
The ANOVA test statistic is denoted by the letter "F".
In a One-Way ANOVA, there are two hypotheses: the null hypothesis and the alternative hypothesis. The null hypothesis is that all population means are equal, while the alternative hypothesis is that at least one population mean is different from the others.
The null hypothesis is rejected if the F ratio is greater than the critical F value. The F value is used to determine the significance of the difference between the means of three or more populations in ANOVA.
When the null hypothesis is rejected, it indicates that at least one population mean is different from the others. Therefore, the F ratio in ANOVA is a test statistic that is used to determine the significance of the difference between the sample group means.
The ANOVA F ratio is obtained by dividing the MSb (2) by the MSw (3).
The test statistic for ANOVA is referred to as the F test statistic, and it is represented by the letter "F."
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Greg is designing the lighting scheme for a building. He would like the lights to be randomly turned on to create an impression of activity. Which lighting scheme should he use
A random lighting scheme, where the lights are turned on and off in a non-predictable manner, would be the most suitable choice for Greg to create an impression of activity in the building.
To create an impression of activity, Greg should use a random lighting scheme where the lights are turned on and off randomly.
Now let's delve into the explanation. A random lighting scheme involves varying the on-off pattern of the lights in a way that does not follow a predictable sequence or pattern. This randomness creates an impression of activity by simulating the natural fluctuations of lighting that would occur in a busy environment.
By randomly turning the lights on and off, Greg can mimic the dynamic lighting conditions that would be observed in a building with people moving around and engaging in various activities. This can enhance the overall ambiance and perception of liveliness within the space.
Random lighting schemes also have practical benefits, as they can help conserve energy by avoiding the constant illumination of areas that are not in use. By randomly cycling the lights, Greg can achieve a balance between creating the desired impression of activity and ensuring efficient energy usage.
In summary, a random lighting scheme, where the lights are turned on and off in a non-predictable manner, would be the most suitable choice for Greg to create an impression of activity in the building.
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HELP? is this easy or am i ?? HELP
Answer:
6960
Step-by-step explanation:
pls help for brainly and points!
the answer is -7 i think
\lim_{n \to \infty} a_n \int\limits^a_b {x} \, dx \left \{ {{y=2} \atop {x=2}} \right. \leq \\ x^{2} \sqrt{x} \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \sqrt[n]{x} \neq \lim_{n \to \infty} a_n
if you can solve this ill make you brainliest
\(\lim_{n \to \infty} a_n \int\limits^a_b {x} \, dx \left \{ {{y=2} \atop {x=2}} \right. \leq \\ x^{2} \sqrt{x} \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \sqrt[n]{x} \neq \lim_{n \to \infty} a_n\)
Tough you can't solve it!?
If \( \cos (x)=-\frac{3}{7} \) (in Quadrant 2), find Give exact answers. \[ \sin (2 x)= \] \[ \cos (2 x)= \] \[ \tan (2 x)= \]
Given:
\($\Cos(x) = -\frac {3}{7}\)
$ in Quadrant 2.
For Quadrant 2, we know that:
\($\cos(x) < 0$ and $\sin(x) > 0$.\)
,
Hence, \($\)
\(\sin(x) = \sqrt{1-\cos^2(x)}\)\($\cos(x) < 0$ and $\sin(x) > 0$.\)
=\(\sqrt{1-\left(-\frac{3}{7}\right)^2}\)
=\(\frac{2\sqrt{10}}{7}$.\)
Let's calculate.
\(2\sin(x)\cos(x)$$$$\sin(2x)\)
=\(2\left(\frac{2\sqrt{10}}{7}\right)\left(-\frac{3}{7}\right)$$$$\sin(2x)\)
=\(\frac{-12\sqrt{10}}{49}$$\)
Now let's find.
=cos(2x)
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$49.50 for 5 1/2 hours
Answer:
5.45
Step-by-step explanation:
The required solution of the problem is 8.45 $.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
$49.50 for 5 1/2 hours
We have to find the solution.
According to given question we have
5 1/2 hours =$49.50
11/2 hours=$49.50
1 hour=$49.50 *2/11
1 hour=8.45 $
Therefore, the required solution of the problem is 8.45 $.
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You have just signed up for a broadband home internet service that uses coaxial cable. which connector type will you most likely use?
Answer:
F type connector
Step-by-step explanation:
Use an F-type connector for broadband cable connections that use coaxial cable.
The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,
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F type connector
The F-connector is a coaxial RF connector commonly used for "wireless" terrestrial television, cable television, and common for satellite television and cable modems, usually with RG-6/U cable or with RG -59 / U.F connector is also known as threaded connector. There are two main types: 7mm (6.8mm) is the most common and used in coaxial cable, and 5mm connector is used in thin coaxial cable commonly used in satellite system.
The F-connector is an accessory that connects a coaxial cable to an electronic device or wall outlet.
Type F connectors are highly mechanical and electrically stable coaxial screw connectors for cable television (CATV), set-top boxes, cable modems and satellite television applications up to 4 GHz
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Only the smartest person can help me with Algebra 2! Answer how many you can!
Part 3
Using the concepts of domain and range of functions, we have that:
10. The range is y ≥ 2.
11. The domain is all real numbers, the range is y ≤ 3, and it is a function.
12. The domain is (-4,3], and the range is (-5,5).
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input. In a graph, it is represented by the values of x.The range of a function is the set that contains all the values of the output. In a graph, it is represented by the values of y.Hence, for these problems:
10. The range is y ≥ 2.
11. The domain is all real numbers, the range is y ≤ 3, and it is a function.
12. The domain is (-4,3], and the range is (-5,5).
In item 11, we have that it is a function because it has no vertically aligned points, that is, each value of x is associated with only one value of y.
In item 12, the open intervals are due to the open circles at the extremes of the domain and the range on the graph.
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For a fundraiser, a group plans to sell granola bars and bottles of water at the same prices as described in Part A. The group wants the income from the fundraiser to be at least $150.Choose the inequality to show the number of granola bars x and the number of bottles of water y that must be sold.A. 1.4x + 0.75 y > 150B. 1.4x + 0.75y ≥ 150C. 1.4x + 0.75 < 150D. 1.4x + 0.75 ≤ 150
Answer:
the answer is D i think
What is the driving time for a 2000-mile trip if you drive at an average speed of 55 miles per hour? what is the driving time at 70 miles per hour?
The driving time in order to complete the course of 2000-mile trip with an average speed of 55 miles/hr is 36.36 hr and when travelling with an average speed of 70 miles/hr then it is 28.57hr.
In order to calculate the average speed taken for a car to be driven 2000-miles with an average speed of 55 miles/hr is
Time = distance/ speed
Time = 2000/ 55
Time = 36.36 hr
now, if we alter the average speed to 70 miles/hr then the driving time for travelling a distance of 2000-miles will be
Time = distance/ speed
Time = 2000/ 70
Time = 28.57 hr
The driving time in order to complete the course of 2000-mile trip with an average speed of 55 miles/hr is 36.36 hr and when travelling with an average speed of 70 miles/hr then it is 28.57hr.
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May someone help me and explain?
Answer:
perimeter of rectangle = 2(L+W)
Step-by-step explanation:
after solving above equation
we get,
width of rectangle is 87
at 5 p.m., the temperature began dropping 3 f every hour for 6hrs. what was the temperature after 6hrs?
time temperature
3 p.m. 14
5 p.m. 11
Answer:
-7°
Step-by-step explanation:
every hour the temperature dropped 3° so in 6 hours it would be -7° because 3x6 is 18 and 11-18 is -7
Dave collects model trains. So far he has 23 distinct train cars. How many ways can he put 7 cars together? = Answer 23 PAnswer 7 =23!(23−7)! =23!16! = Answer 23 ⋅ Answer 22 ⋅21⋅20⋅19⋅18⋅ Answer 17 = Answer
Answer:
He can put 7 cars together in 245,157 ways.
Step-by-step explanation:
The order in which the cars are put together is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
23 distinct train cars. How many ways can he put 7 cars together?
Combinations of 7 from a set of 23. So
\(C_{23,7} = \frac{23!}{7!(23-7)!} = \frac{23!}{7!16!} = 245157\)
He can put 7 cars together in 245,157 ways.
on january 1, year 1, billy co signed a three-year lease for office space. the lease required monthly rent of $8,000 for the first year, $8,100 fo rhte second year
If on january 1, year 1, billy co signed a three-year lease for office space The amortization expense on this leasehold improvement that Billy should record for Year 2 is: $1,000.
How to find the amortization expense?Since we were told that the new overhead lighting fixtures is the amount of $2,000 now let determine the Amortization expense using this formula
Amortization expense = New overhead lighting fixtures / 2 years
Let plug in the formula
Amortization expense = $2,000 /2
Amortization expense = $1,000
Therefore the Amortization expense is the amount of $1,000.
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The complete question:
On January 1 , Year 1, Billy Co. signed a three year lease for office space. The lease required monthly rent of 8,000 for the first year. 8,100 for the second year and 8,200 for the 3rd year. Billy has the option to renew the lease for a fourth year at 8,300 per month. On January 1, Year 2, Billy permanently installed new overhead lighting fixtures at a cost of $2,000. How much amortization expense on this leasehold improvement should Billy record for Year 2?
What is the equation of the graphed line written in standard form
A. 2x+3y=-6
B. 2x+3y=6
C. y=-2/3x-2
B. y=2/3x-2
Answer:
Its C
Step-by-step explanation:
hope this helps
HELP PLS!!!!!!!!!!!!!!!!!!!!!!
Answer:
abd=16 and dbc = 74
Step-by-step explanation:
alr so x+9+11x-3 = 90, so you collapse that down into 12x +6= 90, subtract 6 from both sides to get 84, then divide both sides by 12 to get x = 7. Then, you just have to plug x back into x+9 and 11x-3
use the descriptive analysis above (or any other analyses necessary) to answer the following questions. no need to explain, just short answers.(a) what is the average selling price in bloomington?(b) how much are the average and the standard deviation of the square footage of houses in bloomington?(c) how many houses are made primarily of brick and how many not?(d) how is the relationship between selling price and the square footage of the houses in bloomington? (positive or negative? weak, moderate or strong?)(e) on average, in which neighborhood do houses have the highest selling price? newer neighborhood or more traditional ones?
a) The average selling price in Bloomington is $301,596.27.
b) The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively.
c) There are 98 houses made primarily of brick and 102 not.
d) There is a positive moderate relationship between selling price and square footage of houses in Bloomington.
e) On average, houses in newer neighborhoods have a higher selling price than more traditional ones.
The descriptive analysis in Bloomington has given the following insights: The average selling price in Bloomington is $301,596.27. The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively. There are 98 houses made primarily of brick and 102 not. There is a positive moderate relationship between selling price and square footage of houses in Bloomington. On average, houses in newer neighborhoods have a higher selling price than more traditional ones.
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A large container holds 5 gallons of water. It
begins leaking at a constant rate. After 6
minutes, the container has 3 gallons of
water left. At what rate is the water leaking?
in the design of a survey, which of the following best explains how to minimize response bias? a. increase the sample size. b. decrease the sample size. c. randomly select the sample. d. increase the number of questions in the survey. e. carefully word and field-test survey questions.
The option that best explains how to minimize response bias is E. carefully word and field-test survey questions.
What is a response bias?Response bias describes a number of variables that may cause someone to give a false or inaccurate answer to a question. This kind of bias is especially common in self-report questions, like those found on surveys and in structured interviews.
Response bias is a term that encompasses a wide range of participant tendencies to give false or inaccurate answers to questions. In research involving participant self-report, such as structured interviews or surveys, these biases are pervasive.
In conclusion, the correct option is E.
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Howard University recorded an enrollment of 1060 freshman in 2019, which was a 13. 2% increase over the previous record in 2018. What was the freshman enrollment of 2018?
To find the freshman enrollment of 2018, we need to determine the original enrollment figure before the 13.2% increase.
Let's assume the freshman enrollment of 2018 is represented by "x."
According to the information given, the freshman enrollment in 2019 was a 13.2% increase over the previous record in 2018. This can be expressed as:
x + 0.132x = 1060
Combining like terms:
1.132x = 1060
Dividing both sides by 1.132:
x = 1060 / 1.132
x ≈ 937.26
Rounded to the nearest whole number, the freshman enrollment of 2018 at Howard University was approximately 937.
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Factor. \[ x^{2}-8 x-48 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( x^{2}-8 x-48= \) B. The expression is prime.
A quadratic expression is a polynomial of the second degree and has the general form of ax^2 + bx + c. It is also known as a quadratic polynomial or simply a quadratic.
The quadratic expression \(\[x^2-8x-48\]\) may be factorised by using a method known as factorisation by grouping, in which the polynomial is split into two pairs of terms, and each pair is then factorised.
The quadratic can be written as:
\(\[x^2 - 8x - 48\] \[= x^2 - 12x + 4x - 48\] \[= x(x - 12) + 4(x - 12)\] \[= (x - 12)(x + 4)\]\)
Therefore, the quadratic expression is factorised as \(\[(x-12)(x+4)\]\).
Answer: The quadratic expression \(\[x^2-8x-48\]\) is equal to (x-12)(x+4) after factorisation.
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Jack and Anjali each improved their yards by planting hostas and geraniums. They bought their supplies from the same nursery. Jack spent $138 on 6 hostas and 6 geraniums. Anjali spent $116 on 6 hostas and 4 geraniums. Find the cost of one geranium
Answer:
11$
Step-by-step explanation:
We will use simultaneous equation
X = hostas
Y = geraniums
6X + 6Y = 138 ----> (first equation)
6X + 4Y = 116 -----> (second equation)
(Substract)
6X + 6Y = 138
6X + 4Y = 116
2Y = 22
Y = 22/2
Y = 11$
I hope my answer helps you.
Can someone please help me? :(
Answer:
a=(0,0)
Step-by-step explanation:
i actually dont know but thnks for the points BTW
the solubility of CaCO3 is 10 g per 100.0 g of water at 25°C, what would be the mole fraction of CaCO3 in this solution? a) 0.0270 b)0.0111 c)0.0196 d)0.1552
The mole fraction of CaCO₃ in the solution having a solubility of 10 g CaCO₃ per 100.0 g of water is c) 0.0196.
The mole fraction of CaCO₃ in a solution can be calculated by dividing the moles of CaCO₃ by the total moles of all components in the solution. To calculate the mole fraction, we first need to determine the number of moles of CaCO₃.
The given information states that the solubility of CaCO₃ is 10 g per 100.0 g of water at 25°C. To find the number of moles, we divide the mass of CaCO₃ by its molar mass.
The molar mass of CaCO₃ can be calculated by adding the atomic masses of calcium (Ca), carbon (C), and three oxygen (O) atoms. The atomic masses are: Ca = 40.08 g/mol, C = 12.01 g/mol, O = 16.00 g/mol.
Molar mass of CaCO₃ = (40.08 g/mol) + (12.01 g/mol) + (16.00 g/mol * 3) = 100.09 g/mol
Now, we can calculate the number of moles of CaCO₃:
Moles of CaCO₃ = (10 g) / (100.09 g/mol) = 0.0999 mol
Next, we need to determine the moles of water in the solution. Since the solubility is given as 10 g per 100.0 g of water, we can calculate the mass of water as:
Mass of water = (100.0 g) - (10 g) = 90.0 g
The molar mass of water (H₂O) is 18.02 g/mol. Using this, we can calculate the moles of water:
Moles of water = (90.0 g) / (18.02 g/mol) = 4.996 mol
Finally, we can calculate the mole fraction of CaCO₃:
Mole fraction of CaCOv = Moles of CaCO₃ / (Moles of CaCO₃ + Moles of water)
Mole fraction of CaCO₃ = 0.0999 mol / (0.0999 mol + 4.996 mol) = 0.0196
Therefore, the mole fraction of CaCO₃ in this solution is 0.0196.
The correct answer is c) 0.0196.
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If A and B are independent events with P(A) = 0.35 and P(B) = 0.20, then, P(A U B) = _____.
SHOW ALL WORK
Answer:0.48
Step-by-step equation:
someone please help fast!!
Find all unknown measures in the triangle. Round answers to the nearest tenth.
The value of the unknown angles are;
m< A = 56.94 degrees
m<B = 33. 05 degrees
m<C = 54. 89 degrees
How to determine the anglesUsing the trigonometric identities and their ratios;
sin θ = opposite/hypotenuse
cos θ = adjacent/hypotenuse
tan θ = opposite/adjacent
To determine the value of angle B, we have;
sin B = 6/11
Divide the values
sin B = 0. 5454
Find the inverse of the sine value
B = 33. 05 degrees
To determine the value of angle C, we have;
sin C = 9/11
sin C = 0. 8181
Find the inverse of sin
C = 54. 89 degrees
To determine the value of angle A , we have;
cos A = 6/11
cos A= 0. 5454
Find the inverse of cos
A = 56.94 degrees
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what is the decimal form of 100/3 100/5 and 100/6? determine whether each repeats or terminates
what is the decimal form of 100/3 100/5 and 100/6? determine whether each repeats or terminates
to know the decimal form, just make the division
Step 1
\(\begin{gathered} \frac{100}{3} \\ \frac{100}{3}=100\text{ divide by 3} \\ \text{operate} \\ 100\text{ divide by 3 = 33 and 1 to left} \\ \end{gathered}\)every time you divide you will have a residual number (1),
so
100=(33*3)+1
when you divide the 1 by 3, you will have
1=(3*0.3)+0.1
and
10=3*3 +1
,so the 3 will repeat forever
Step 2
\(\begin{gathered} \frac{100}{5}=20 \\ \end{gathered}\)so the decimal form of 100/5 is 20
Step 3
\(\frac{100}{6}\)\(\frac{100}{6}=16.66\)when you divide 100 by 6 you have
\(\begin{gathered} 100=(16\cdot6)+4 \\ 100=96+4 \\ 16\text{.} \\ \text{and} \\ \frac{4}{6}=0.666 \\ so\text{ , the answer is } \\ \frac{4}{6}+16=16.6666 \\ \end{gathered}\)I hope it helps you.