How do i find the area of a semicircle
i need help on this question
Answer:
B
Step-by-step explanation:
(12)\((8)^{(1 -\frac{2}{3}) }\) = 24 Substitute \(\frac{-2}{3}\) for x
(12)\(8^{(\frac{3}{3} - \frac{2}{3}) }\) = 24
(12)\(8^{\frac{1}{3} }\) = 24
(12)(2) = 24
24 = 24
Helping in the name of Jesus.
HIGHER ORDER THINKING
Javier is making the last 2 sides of a frame for a rectangular piece of art. He had 26 inches of framing material. Does he have enough to complete the Project? Explain.
what is 1(0b+10a) ???????????????????
Answer:
10b+10a
Step-by-step explanation:
Answer:
The answer is 10a
Step-by-step explanation:
(1)(0b+10a)
=(1)(0b)+(1)(10a)
=0+10a
=10a
Hope this helps :)
You inherit $50,000 from crazy aunt Millicent, but it goes into a trust, where it earns 5.25% interest compounded quarterly for 7 years. Then you can have the money. How much will you get?
ASAP please help
After 7 years, you will have approximately $72,821.87 in the trust.
To find how much will you get?We can use the formula for compound interest to calculate the balance in the trust after 7 years:
A = P*(1 + r/n)^(n*t)
Where
A = the balance after 7 yearsP = the principal amount ($50,000)r = the annual interest rate (5.25% = 0.0525)n = the number of compounding periods per year (4, since the interest is compounded quarterly)t = the time in years (7 years)Plugging in the values, we get:
A = $50,000*(1 + 0.0525/4)^(4*7)
A = $72,821.87
Therefore, after 7 years, you will have approximately $72,821.87 in the trust.
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The length of a rectangle is 4 less than 5 times the width. The perimeter is 148 ft.
Find the length and width of the rectangle.
Answer:
Here to get the points thanks for recommending this ur so nice.
Step-by-step explanation:
Looking for help with some geometry questions today!
Please only answer if you know the answer and can support it by showing you work. If you have a comment or do not know the answer, tell me that in the comment section, do not answer the question. Don't take my points and I want take yours!
Anyways, please show all of you work and explain your thinking! Answer all 5 parts of this question! Good luck!
Answer:
A) Central angle has same value as intercepted arc
GD is the diameter ⇒ mGFED = 180°mDE + mGF = 180° - 90°mDE = 90° - mGF = 90° - 46° = 44°B) Inscribed angle is half of the intercepted arc:
∠WTV = 1/2(90°) = 45°C) Sum of angles of triangle is 180° and inscribed angle is half of the intercepted arc:
m∠RST = (180° - 67° - 102°/2) = 62°D) Inscribed angle is half of the intercepted arc:
m∠HJK = 1/2(80° + 84°) = 62°mHJ = 2*81° - 84° = 98°E) Tangent chord angle is half of the intercepted arc:
m∠XYZ = 1/2(188°) = 94°Determine the period of the function f(t) 2.3cos0.25t
a period .25pi
b period 2pi
c period .5pi
d period 8pi
The period of the function f(t) = 2.3cos(0.25t) is 8π. Hence, the correct answer is d) period 8π.
To determine the period of the function f(t) = 2.3cos(0.25t), we need to consider the coefficient of t inside the cosine function.
In this case, the coefficient is 0.25, which represents the frequency of the cosine function. The period of a cosine function is given by the formula T = 2π/frequency.
Using this formula, we can calculate the period of the function f(t) as follows
T = 2π / 0.25
T = 8π
Therefore, the period of the function f(t) = 2.3cos(0.25t) is 8π.
Hence, the correct answer is d) period 8π.
The period of a function represents the length of one complete cycle or the distance between two consecutive identical points on the graph of the function. In this case, the function is a cosine function, and the period determines how long it takes for the function to repeat its values
The coefficient 0.25 in the function f(t) = 2.3cos(0.25t) affects the frequency of the cosine function. A smaller coefficient results in a slower oscillation, while a larger coefficient leads to a faster oscillation. In this case, since the coefficient is 0.25, it means that the function completes one full cycle within 8π units of time.
Understanding the period of a function is crucial for analyzing its behavior, identifying the frequency of oscillation, and studying its repetitive patterns.
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HELP NOW!!!!
A group of 8 teachers and 4 students are lining up to leave the gymnasium after a pep rally. If they line up randomly, what is the probability that the first 8 people in line are teachers? Show your work. ▲
Using the concept of probability and the arrangements formula, there is a
0.002 = 0.2% probability that the first 8 people in line are teachers.
----------------------------------
A probability is the number of desired outcomes divided by the number of total outcomes. The order in which they are positioned is important, and all people will be positioned, and thus, the arrangements formula is used to find the number of outcomes.The number of possible arrangements from a set of n elements is given by:
\(A_n = n!\)
----------------------------------
The desired outcomes are:
First 8 people are teachers, in 8! possible ways.Last 4 are students, in 4! possible ways.Thus, \(D = 8! \times 4!\)
----------------------------------
For the total outcomes, number of arrangements of 12 people, thus:
\(T = 12!\)
The probability is:
\(p = \frac{D}{T} = \frac{8! \times 4!}{12!} = 0.002\)
0.002 = 0.2% probability that the first 8 people in line are teachers.
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Angle Pairs Introduction
1. A shirt is priced $24.99. and is on sale for 20% off and subject to 5% sales tax.
final cost of the shirt?
I
Answer:
$20.99
Step-by-step explanation:
The sale causes the original price to be multiplied by 1 - 20% = 80%. The tax causes the sale price to be multiplied by 1 + 5% = 105%. The net effect is that the original price is multiplied by the product of these values:
final cost = $24.99(0.80)(1.05) = $20.99
Jaxon has two bins. The bins are shaped like cubes with dimensions shown. Write an algebraic expression that Jaxon can use to find the total volume, in cubic inches, of the two bins for any value x. Then find the total volume of bins when x=4. What is the Algebraic expressions when x DOES NOT equal 4?
Answer:
Part one is x^3+125
Part two is 189
Step-by-step explanation:
Reliable food sources and the ability to settle in one place contributed to what?
A. The Architectural Revolution.
B. Equal distribution of resources to all.
C. The beginning of hunter-gatherer societies.
D. Growth of the world's population.
Answer: A: sorry if I'm wrong but that's what I was told
Step-by-step explanation:
Find the circumference of C in terms of pi
Answer:
\(\frac{\pi }{2}\) m
Step-by-step explanation:
C = 2\(\pi\)(radius)
=2\(\pi\)(1/4)
=\(\frac{\pi }{2}\) m (meters)
PLEASE HELP AS SOON AS POSSIBLE
A) The Slope is: 2
B) The interpretation of the slope is that there are two races for each number of track meet.
C) The y-intercept from the graph is at: y = 4
D) Equation of the line is: y = 2x + 4
How to find the slope of the linear graph?The general form of equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
From the given graph, we can see that the slope is gotten from the formula:
A) Slope = (y₂ - y₁)/(x₂ - x₁)
Thus:
Slope = (10 - 4)/(3 - 0)
Slope = 6/3
Slope = 2
B) The interpretation of the slope is that there are two races for each number of track meet.
C) The y-intercept from the graph is at: y = 4
D) Equation of the line is:
y = 2x + 4
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QUESTION 1 Determine the general solution of: 2 sin x. cos x = COS X
Starting with the given equation: 2 sin x cos x = cos x
By dividing both sides by cos x, we may simplify: 2 sin x = 1
Dividing both sides by 2:
sin x = 1/2
The values of x that fulfil sin x = 1/2 must now be found, and they are:
x = π/6 + 2πn or x = 5π/6 + 2πn, where n is any integer.
Therefore, the general solution is:
x = π/6 + 2πn or
x = 5π/6 + 2πn, where n is any integer.
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The length of a rectangular field is represented by the expression 14x-3x^2+2y . The width of the field is represented by the expression 5x-7x^2+7y . How much greater is the length of the field than the width?
The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)
1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)
2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).
3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).
4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)
5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)
6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)
7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)
8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)
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How much will Alice pay for carpet that costs $4.50 per square foot?
Answer:
$506.25.
Step-by-step explanation:
Solve the system by the addition method. x + 3y = 6 3x + 4y = −2
The solution to the system is x = -6 and y = 4.
To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.
Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:
-3x - 9y = -18
+ 3x + 4y = -2
-------------
-5y = -20
Now we can solve for y by dividing both sides by -5:
y = 4
We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:
x + 3(4) = 6
x + 12 = 6
x = -6
So the solution to the system is x = -6 and y = 4.
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Numbers and expressions written in scientific notation are often used to represent measurement in a real-life situations. For each of the following numbers written in scientific notation, describe a real-life situation using the number and its corresponding unit as the context. Here's an example:
The following situation is modeled by the expression 4.5368 * 10^3 cubic kilometers: The average volume of each of the five Great Lakes is approximately 4.5368 * 10^3 cubic kilometers.
Make sure to use complete sentences in your answers.
(read attachment)
Answer:
1.
There is a Stater Bros. about 160,940 cm from here.
2.
The kitchen is 2,940 sq ft.
3.
My friend made a 24,000 ml pool for his lizard.
4.
Sam plans to run 6,378.1 km this year!
5.
The ocean is more than 322,280,000 cubic miles.
Like us, mice are warm-blooded creatures. Their bodies must maintain a constant
temperature of 37°C, regardless of the temperature of their environment. Doing so burns
calories. The more severe the temperature difference, the more calories the mouse must
burn to maintain its body temperature. Consulting the research literature, you found the
following model:
C = 0.37219T + 1,560
Where C is the number of calories an idle mouse burns each day and T is the temperature
of its environment in °C. What is the most comfortable temperature for an idle mouse?
(This is the temperature where it burns the least calories per day). How many calories will
it burn each day at that temperature?
At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.
According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.
To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.
To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:
dC/dT = 0.37219 = 0
Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.
Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.
For example, if we take a temperature of 20°C, we can calculate the calorie burn:
C = 0.37219 * 20 + 1,560
C = 7.4438 + 1,560
C ≈ 1,567.4438 calories per day
Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.
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Is (4, 2) a solution for the system of inequalities
Answer:
yes it is and its also a coordinate
Step-by-step explanation:
a rectangular auditorium seats 2244 people. The number of seats in each row exceeds the number of rows by 7. Find the number of seats in each row
Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.
Find the number of seats in each row:
Here in the question it is given that,
a rectangular auditorium seats 2244 peoplenumber of seats in each row exceeds the number of rows by 7We have to find the number of seats in each row.
Let us assume that the number of seats in each row be x.
From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,
Number of seats in one row = Number of rows + 7
x = Number of rows + 7
⇒ Number of rows = x - 7
Total number of seats in the auditorium can be written as,
⇒ (Number of seats in one row)(Number of rows) = Total number of seats
(x)(x - 7) = 2244
x² - 7x = 2244
⇒ x² - 7x - 2244 = 0
By using quadratic formula we can find the root,
x = (-b ± √b² - 4ac)/2a
here in the question, a = 1, b = -7, c = -2244
√b² - 4ac = √(-7)² - 4(1)(-2244)
√b² - 4ac = √49 + 8976
√b² - 4ac = √9025
√b² - 4ac = 95
x = (-b ± √b² - 4ac)/2a
x = (7 ± 95)/2
x = 102/2 or x = -88/2
⇒ x = 51 or x = -44
Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.
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Find the equation of the line that satisfies the conditions given in each of the following: 1. Through (3, 2) and (5, 7) 2. Through (-3, 4), m = 2 3. m = -3, b = 5 4. x-intercept = 3, y-intercept
The equation of each line that satisfies the given conditions are:
1. y - 2 = 5/2(x - 3)
2. y - 4 = m(x + 3)
3. y = -3x + 5
What is the Equation of a Line?If we know the slope (m) and the y-intercept (b) of a line, we can write the equation of the line as y = mx + b in slope-intercept form.If we know the point (a, b) and the slope (m) of the line, we can write the equation of the line in point-slope form as y - b = m(x - a).1. Given the points, (3, 2) and (5, 7), find the slope (m):
Slope (m) = change in y / change in x = (7 - 2)/(5 - 3)
m = 5/2
Write the equation in point-slope form by substituting m = 5/2 and (a, b) = (3, 2) into y - b = m(x - a):
y - 2 = 5/2(x - 3)
2. Given:
A point = (-3, 4)
Slope (m) = 2
Substitute (a, b) (-3, 4), and m = 2 into y - b = m(x - a):
y - 4 = m(x + 3) [equation of the line]
3. Given:
Slope (m) = -3
Y-intercept (b) = 5
Substitute m = -3 and b = 5 into the equation y = mx + b:
y = -3x + 5
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If the social security tax is 6.2% and the Medicare tax is 1.45% and Murr annual salary is 57,285.50 then what is murrs annual social security deduction
Answer: Murr's annual social security deduction is the amount of money he pays in social security taxes. Social security tax is 6.2% of Murr's annual salary. To find the annual social security deduction, we can multiply Murr's annual salary by the social security tax rate:
57,285.50 x 6.2% = 3,541.829
Murr's annual social security deduction is 3,541.829
Note that Medicare tax is 1.45% and it's calculated separately, if you want to calculate it you can use the same formula:
57,285.50 x 1.45% = 829.4078
So the total Social security and Medicare tax is 3,541.829 + 829.4078 = 4,371.2368
It's important to note that these are the federal Social Security and Medicare taxes, there might be additional state taxes or deductions that are not included.
Step-by-step explanation:
This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?
Answer:
Step-by-step explanation:
Well, since the length of a month can vary in the number of days, this answer can also vary.
For example, February is only 28 days long, while December is 31 days long.
That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.
I hope this helps!
Charges for advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is a percentage of the population of 110 million TV households. The CBS television show 60 Minutes recently had a rating of 7.8, indicating that 7.8% of the households were tuned to that show. An advertiser conducts an independent survey of 100 households and finds that at least b+1 were tuned to 60 Minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting at least 5+1 tuned to
60 Minutes.
The probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes is only 0.02%.
How to calculate the probabilityP(X <= 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
P(X = k) = (100 choose k) * 0.078^k * (1 - 0.078)^(100-k)
P(X <= 4) = (100 choose 0) * 0.078^0 * (1 - 0.078)^(100-0) + (100 choose 1) * 0.078^1 * (1 - 0.078)^(100-1) + (100 choose 2) * 0.078^2 * (1 - 0.078)^(100-2) + (100 choose 3) * 0.078^3 * (1 - 0.078)^(100-3) + (100 choose 4) * 0.078^4 * (1 - 0.078)^(100-4)
Using a calculator or software, we can find that:
P(X <= 4) = 0.000203
This means that the probability is 0.02%.
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Charges for TV advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is the percentage of population of 110 million TV households.The CBS television show 60 minutes recently had a rating of 7.8, indicating that 7.8% of the household were tuned to that show.An advertiser conducts an independent survey of 100 households and finds that only 4 were tuned to 60 minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes.Does the result suggest that the rating of 7.8 is too high?
How to find the domain and range of numbers
Answer:
m a g i c t h a t ' s h o w
What is the surface area of a rectangular prism that has a length of 4 cm, a height of 14 cm, and a width of 15 cm?
Answer:
the surface area of the rectangular prism is 572cm².
Step-by-step explanation:
The surface area of a rectangular prism can be calculated using the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Plugging in the values you provided, we get:
2 * 4cm * 15cm + 2 * 4cm * 14cm + 2 * 15cm * 14cm = 572 cm²
So the surface area of the rectangular prism is 572 square centimeters.
Find what percent 768 is of 3,200.
Answer:
3200 of 768 is 416.67%
Step-by-step explanation:
There's your answer hope this helps.
The total number of hours worked during d days for persons working seven hours each day.
We have the following "The total number of hours worked during d days for persons working seven hours each day":
\(th=7\cdot d\)where th is the total number of hours and d days