Answer:
B
Step-by-step explanation:
whenever you add or subtract integer with different signs, the answer should have the sign of the larger integer. If the have a similar sign then the answer also must have that sign except when you are subtracting a larger positive integer from a smaller positive integer because the answer is negative.
Please please please please help meeee l don’t understand I need help
Answer:
Step-by-step explanation:
Calculate Circumference = 2π·r and Area = π·r²
1. Given : diameter = 221 mm
d=2·r so because the diameter is twice as big as the radius r = 221/2
Circumference = 2π·r = 2·π·221/2 = 221π ≈ 694.3 mm
Area = π·r² = π·(221/2)² = π·(221²/2²) ≈38,359.6 mm²
2. Given: radius = 2cm
Circumference = 2π·r = 2·π·2 = 4·π ≈ 12.6 cm
Area = π·r²= π·2² = 4π ≈ 12.6 cm²
3 and 4 are similarly solved
Calculate the arc length and area for each sector.
Arc length = 2·π·r· (x/360) and Area of sector = π·r²(x/360)
1. Given: radius = 21 m, and angle of sector x = 133°
Arc length = 2·π·r· (x/360) = 2·π·21· (133/360) ≈ 48.7 m
Area of sector = π·r²(x/360) = π·21²(133/360) ≈ 511.8 m²
2. Given: radius = 3.4 Km , and angle of sector x = 22°
Arc length = 2·π·r· (x/360) = 2·π·3.4· (22/360) ≈ 1.3 Km
Area of sector = π·r²(x/360) = π·3.4²(22/360) ≈ 2.2 Km²
3 and 4 are similarly solved
use green's theorem to evaluate f · dr. c (check the orientation of the curve before applying the theorem.) f(x, y) = y − cos(y), x sin(y) , c is the circle (x − 6)2 (y 9)2 = 16 oriented clockwise
By Green's Theorem, we have:
∫CF · dr = ∬ curl(F) · dA = -16 - 6π.
To use Green's Theorem to evaluate the line integral of a vector field F along a closed curve C, we need to compute the double integral of the curl of F over the region enclosed by C.
Let's first check the orientation of the given curve C.
The equation of the circle is\((x-6)^2 + (y+9)^2 = 16.\)
This is centered at (6, -9) and has radius 4.
Since the equation of the circle is given in the form\((x-a)^2 + (y-b)^2 = r^2,\)we know that the circle is oriented counterclockwise.
To change the orientation to clockwise, we need to reverse the direction of the parameterization.
So, let's parameterize the circle C in a clockwise direction. One possible parameterization is:
x = 6 + 4cos(t)
y = -9 + 4sin(t)
0 ≤ t ≤ 2π
The orientation of the curve is clockwise because as t increases from 0 to 2π, the point on the circle moves in the clockwise direction.
Now, let's compute the curl of the vector field F = (y - cos(y), x sin(y)):
curl(F) = (∂Q/∂x - ∂P/∂y) = (sin(y) - 1, 0, x cos(y))
Since the z-component is zero, we only need to evaluate the double integral of the first two components of the curl over the region enclosed by the circle:
∬ curl(F) · dA = ∬ (sin(y) - 1) dA
We can convert this to polar coordinates using the Jacobian transformation:
dA = r dr dθ
The limits of integration for r are 0 to 4, and for θ are 0 to 2π. So, we have:
∬ curl(F) · dA = ∫₀²⁴ ∫₀²π (sin(y) - 1) r dθ dr
= ∫₀²⁴ [(sin(-9+4r) - 1) ∫₀²π r dθ] dr
= ∫₀²⁴ [(sin(-9+4r) - 1) (2πr)] dr
= 2π ∫₀²⁴ [(sin(-9+4r) - 1) r] dr
This integral can be evaluated using integration by parts.
Let u = r and dv = sin(-9+4r) - 1 dr. Then, du = dr and v = -(1/4)cos(-9+4r) - r.
Substituting into the formula for integration by parts, we get:
∫₀²⁴ [(sin(-9+4r) - 1) r] dr = [-r(1/4)cos(-9+4r) - \(r^2\)/2]₀²⁴ + (1/4) ∫₀²⁴ cos(-9+4r) - 1 dr
= (1/4) [sin(-9+4r) - 4\(r^2\) - rcos(-9+4r)]₀²⁴
= (1/4) [sin(23) - 4(16) - 24cos(23)]
= -16 - 6π
Therefore, by Green's Theorem, we have:
∫CF · dr = ∬ curl(F) · dA = -16 - 6π.
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To evaluate f · dr using Green's theorem, we first need to check the orientation of the given curve, which is a circle with center (6,9) and radius 4. The equation of the circle is (x-6)^2 + (y-9)^2 = 16. The orientation of the curve is clockwise as given in the problem.
In this case, we have the vector field F(x,y) = (y - cos(y), x sin(y)). We need to find the curl of F to evaluate the double integral. The curl of F is given by:
curl F = (∂Q/∂x - ∂P/∂y) = (sin(y) - sin(y), 1 + sin(y))
Now we can apply Green's theorem to evaluate the line integral of F · dr over the circle C. We have:
∫C F · dr = ∬D curl F dA
where dA is the area element. Since the circle C encloses the region D, we can use polar coordinates to evaluate the double integral. We have:
∬D curl F dA = ∫θ=0 to 2π ∫r=0 to 4 (1 + sin(y)) r dr dθ
Evaluating the double integral, we get:
∫C F · dr = 32π
Therefore, the line integral of F · dr around the circle C oriented clockwise is 32π.
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It takes Brian 15 hours longer to build a model car than it takes John. If they work together, they can build the model car in 4 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Brian to build the car on his own. (10 points)
Answer:
1/x + 1/( x+15 ) = 1/4 / · x ( x+15 )
x+15 + x = x ( x+15 ) /4 / · 4
8 x + 60 = x² + 15 x
x² + 15 x - 8 x - 60 = 0
x² + 7 x - 60 = 0
x² + 12 x - 5 x - 60 = 0
x · ( x + 12 ) - 5 ·( x+ 12 ) = 0
( x + 12 ) · ( x - 5 ) =0
x = - 12 ( not accepted ) or x = 5
The time taken by Brian: 5 + 15 = 20 hours
Step-by-step explanation:
Consider these three squares with known area.
3 squares. The smallest square is labeled 25, the next square is 144, and the largest square is 169.
Can a right triangle be formed using these squares?
Yes, the sum of the two smaller squares does not equal the largest square.
Correct ---- > Yes, the sum of the two smaller squares equals the largest square.
No, the sum of the two smaller squares does not equal the largest square.
No, the sum of the two smaller squares equals the largest square.
Answer:
512
Step-by-step explanation:i think so
Answer:
The second one
Step-by-step explanation:
I got it right
PLS I NEED HELP ASAP I DONT HAVE TIME IT ALSO DETECTS IF IT RIGHT OR WRONG.
Answer:
D = 272 ft
Step-by-step explanation: hope this helps. pls mark me brainliest
A teacher has a 2-gallon (32-cup) container of juice. She gives each student One-half cup of juice. Which equation represents the amount of juice that remains, y, after x students are served? y = 32 x minus one-half y = one-half x minus 32 y = negative one-half x + 32 y = negative 32 x + one-half Mark this and return
Answer:
C. y = -1/2x + 32
Step-by-step explanation:
I just took the test :)
Answer:
y=-1/2x+32
Step-by-step explanation:
Two events are ________ if the occurrence of one is related to the probability of the occurrence of the other.
Answer:
Dependent
Step-by-step explanation:
Two events are said to be dependent when the outcome of the first event is related to the other.
When two events, A and B are dependent, the probability of occurrence of A and B is:
P(A and B) = P(A) · P(B|A)
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Two events are dependent if the occurrence of one is related to the probability of the occurrence of the other.
A probability-dependent event is an event whose occurrence affects the probabilities of others. Suppose you have 3 red balls and 6 green balls in your pocket. Two balls are drawn one after the other from the bag. A dependent event is an event that depends on what happened before. These events are affected by previously occurring results.In other words, two or more intedependent events are called dependent events. A random change in one event can deviate from another.If two events A and B depend on each other, then the probability of A and B occurring is
P(A and B) = P(A) P(B|A)
Two events are dependent if the occurrence of one is related to the probability of the occurrence of the other.
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round to the whole number 5.0927
Answer:
5
Step-by-step explanation:
5
Answer:
5
Step-by-step explanation:
a small town in the UK has only 600 high school students. what is the largest possible sample you can take from this town and still be able to calculate the standard deviation of the sampling distribution of p-hat?
To calculate the standard deviation of the sampling distribution of p-hat, the answer will be 59 students.
By calculating,
600/10=60 and 59 students which is less than 10% of the population.
A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a given random-sample-based statistic. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.
Because they offer a significant simplification before drawing conclusions using statistics, sampling distributions are crucial in the field. They enable analytical decisions to be made based on the probability distribution of a statistic rather than the combined probability distribution of all the individual sample values
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Which expression is equal to “8 less than the product of y and 9"'?
Answer:
Which expression is equal to “8 less than the product of y and 9"'?
Step-by-step explanation:
What is 15 to the 7 power divided by 15 to the 4 power?
Answer: 3375
Step-by-step explanation: 15^7 / 15^4 = 3375
Hope this helped!
Mark Brainliest if you want!
The product of numbers in the circles connected by the different lines must be equal. Use number from 1 to 9 only once.
Answer:
you must be so stiupid that you have to use answers ff a website to cheat for school
Step-by-step explanation:
How do you know if a null hypothesis is rejected?
The null hypothesis is rejected on the basis of p- value and test statistic.
A hypothesis test is a formal statistical test we use to reject or fail to reject a statistical hypothesis.
The null hypothesis, denoted as H0, is the hypothesis that the sample data occurs purely from chance.The alternative hypothesis, denoted as HA, is the hypothesis that the sample data is influenced by some non-random cause.
Decide on a significance level. Common choices are .01, .05, and .1.
Use the sample data to calculate a test statistic and a corresponding p-value. If the p-value is less than the significance level, then you reject the null hypothesis. If the p-value is not less than the significance level, then you fail to reject the null hypothesis.
You can use the following clever line to remember this rule: “If the p is low, the null must go.”
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greater than (−8) but less than (−2)
Answer:
-8 < x < -2
start number line at -10 and end it at 0
draw an open circle* over the dash indicating -8 and -2
connect the open circles
*open circle because it is less than and greater than, not less than or equal to and greater than or equal to
Answer:
-8<x<-2
Step-by-step explanation:
yw luv :D
fastt
13. Calculate the compound interest of an annuity due of BD400 paid each 4 months for 6.2 years if the nominal rate is 3% thirdly? (3 Points)
Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.
Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)
whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as
:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1
(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,
the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:
A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17
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Which expression is equivalent to (4x^(5)+11)^(2)?
Quick Note: I don't know what your answer are ?1!
Step-by-step explanation:
(4x⁵ + 11)²
= (4x⁵)² + (2 * 4x⁵ * 11) + (11)²
= 16x¹⁰ + 88x⁵ + 121
A patient is prescribed 2 1/2 tablets BID for 10 days.
How many tablets do you need to dispense to fill the prescription order?
tablets
25 tablets are needed to dispense to fill the prescription order.
What is a prescription order?A prescription is a legally binding document or order prepared by a certified healthcare provider to diagnose, prevent, or treat a specific patient's ailment. It is authored by a licensed professional, it is written in the context of genuine doctor-patient interaction and it is a legal document that can be used as "prima facie" evidence in a court of law.
It was most likely intended for the pharmacist, who needs a certain amount of each component to mix the medicine (rather than the patient, who must take/consume" it).
So, a prescription for 10 days = 21/2
Tablets required for 10 days = 25
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show work / explain it
Answer: In the Instance that she downloads 45 songs, she would pay $40.75. The equation for s songs in one month would be
Money = 7 + s(0.75)
Well, since the time span is a month we can say M is money and n is the amount of months she listens. since this is one month we know N equals 1.
So M = 7n + s(0.75)
7 being the monthly fee, n being the amount of months using the service, s being the amount of songs downloaded, and 0.75 being the cost of every song downloaded.
Step-by-step explanation:
Question 3
Which expression uses the greatest common factor to rewrite 18 + 6?
A
2 (9+3)
B
6 (3+B
С
9 (2) + 3 (2)
D
6 (3) + 2 (3)
Answer:
6( 3+1)
Step-by-step explanation:
18 + 6
Factor a 6 from each term
6*3 + 6*1
6( 3+1)
- Graph the solution of the absolute
value inequality on the number
line.
2|x + 3|+1>3
Number line with open circles on -4 and -2, with shading in opposite directions.
Solution:Given: 2 |x + 3| +1 > 3 absolute value inequality.
We must solve and graph the following absolute value inequality:
2 |x + 3| +1 > 3
Take a look at the following absolute value inequality: 2 |x + 3| +1 > 3
We have to apply absolute rule:
If |u| > a , a > 0 then u < -a or u > a.
2|x + 3|+1 < -3 or 2|x + 3|+1 >3
Consider inequality first.
2|x + 3|+1 < -3
When we subtract 1 from both sides, we get,
2|x + 3| +1 -1 < -3 -1
Simplify,
2 |x + 3| < -4
We get by dividing both sides by two,
(2|x + 3|)/2 < -4/2
|x + 3| < -2
There is no solution for x ∈ R.
Now consider the second inequity.
2|x + 3|+1 >3
When we subtract 1 from both sides, we get,
2|x + 3|+1 - 1 >3 - 1
Simplify,
2|x + 3| >2
We get by dividing both sides by two,
(2|x + 3|) / 2 >3/2
|x + 3| > 1
x + 3 < -1 or x + 3 >1
x < -4 or x > -2
As a result, we have the solution to the absolute value inequality:
2|x +3|+1 > 3 as
On the number line shown below.
On the graph shown below.
As a result, the number line has open circles on -4and -2, with shading going in opposite directions.
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If you have a mass of 55g that has a volume of 11 ml, what is the density?
Answer:
D=5g/ml
Step-by-step explanation:
D=M/V
D=55/11
Write an explicit formula for a(n) the n^th term of the sequence 36,−6,1
what is the correct setup for doing the dependent (paired) t-test on jasp?setup aplacebodrug180188200201190197170174210215195194setup b
The correct setup for doing the dependent (paired) t-test on JASP is to input the two sets of data into separate columns under "Data," select "Descriptives Statistics," and then select "Paired Samples T-Test" to obtain the test results.
To conduct a dependent (paired) t-test on JASP, follow these steps:
Open JASP and go to the "t-tests" module.
Click on "Paired Samples T-test" under the "Independent Samples" header.
In the "Variables" section, select the two related variables (placebo and drug) by clicking on them and moving them to the "Paired Variables" box.
Under "Options," select the desired alpha level (usually 0.05) and check the box for "Descriptive Statistics" to get summary statistics for each variable.
Click "Run" to perform the paired t-test and generate the results.
Using the given data, the setup in JASP would be as follows
Variable 1 Placebo - enter the data for the placebo group (180, 188, 200, 201, 190, 197, 170, 174, 210, 215)
Variable 2 Drug - enter the data for the drug group (195, 194, 170, 174, 210, 215, 195, 194, 197, 190)
Then, follow the above steps 3-5 as described above to perform the paired t-test and obtain the results.
So, the result is 195, 194.
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please urgent i beg for help !!!!!!!!!!!!!!!!!!!! will mark brainlist
Step 2 is incorrect. Since we are flipping the numerator and denominator, the exponents sign should be the opposite! In this case, it would become -5x.
Hope this helps!
If f(x)=ln(x+4+e^(-3x)), then f '(0) =
If derivative of \(f(x)=ln(x+4+e^{(-3x)})\), then f '(0) = -2/5.
What is derivative?
In calculus, the derivative of a function is a measure of how the function changes as its input changes. More specifically, the derivative of a function at a certain point is the instantaneous rate of change of the function at that point.
To find f'(0), we first need to find the derivative of f(x) with respect to x. Using the chain rule, we get:
\(f'(x) = 1 / (x+4+e^{(-3x)}) * (1 - 3e^{(-3x)})\)
Now we can find f'(0) by substituting the value x=0:
\(f'(0) = 1 / (0+4+e^{(-3(0))}) * (1 - 3e^{(-3(0))})\)
f'(0) = 1 / (4+1) * (1 - 3)
f'(0) = -2/5
Therefore, f'(0) = -2/5.
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8(3x – 6) = 6(4x + 8)
Answer: 0 = 96
Step-by-step explanation:
Answer:
The Answer is 0=96
How many solutions does the system have?
y= 40 - 8
4y = 4x – 8
Choose 1 answer:
Exactly one solution
No solutions
Infinitely many solutions
john works at a grocery store and makes $11 amount of dollars an hour. how much will be in johns paycheck this week if he worked 32 hours?
Answer: $352
Step-by-step explanation:
Please help me with this problem.
Answer:
60
Step-by-step explanation:
\(45^{2} +b^{2} =75^{2} \\2025+b^{2}=5625\\b^{2} =3600\\b=60\)
Answer:
60 m
Step-by-step explanation:
use Pythagorean Theorem:
a = missing side
a² + 45² = 75²
a² + 2025 = 5625
a² = 3600
a = \(\sqrt{3600}\)
a = 60
Probability of first marriage among women. A National Center for Health Statistics (NCHS) brief report by the Centers for Disease Control and Prevention (CDC) in 2009 identified that about 6% of women in the United States mar- ried for the first time by their 18th birthday 50% married by their 25th birthday, and 74% married by their 30th birthday. Based on these data, what is the probability that in a family with two daughters, the first and second daughter will be married by each of the following ages? la) 18 years of age b) 25 years of age c) 30 years of age
The probability that both will be married before the age of 18 is 0.0036. The probability that both will be married by the age of 25 is 0.25. Finally, the probability that both will be married by the age of 30 is 0.5476.
According to the brief report by NCHS, approximately 6% of women in the United States married for the first time before their 18th birthday, and 50% of women married by their 25th birthday. 74% of women married by their 30th birthday.The probability of a family with two daughters marrying at different ages is asked in the question. The probability that both daughters will be married by the ages of 18, 25, and 30 will be determined
The question requires finding the probability that both daughters of a family will be married by the ages of 18, 25, and 30 respectively. Since each daughter's wedding is a separate event, the individual probability of a daughter marrying at a given age will be determined separately and then multiplied together to get the probability of both daughters being married at the given age. So, let's find the probabilities of each daughter marrying at a given age:
Probability of one daughter getting married by 18 years:
As per the brief report, 6% of women in the United States married before the age of 18.
Therefore, the probability of one daughter getting married before the age of 18 is 0.06
Probability of one daughter getting married by 25 years:
As per the brief report, 50% of women in the United States get married by the age of 25. Therefore, the probability of one daughter getting married by 25 years is 0.5.
Probability of one daughter getting married by 30 years:
As per the brief report, 74% of women in the United States get married by the age of 30. Therefore, the probability of one daughter getting married by 30 years is 0.74.
The probability of both daughters getting married at the same age is the product of each daughter's probability of getting married at that age.
The probability that both daughters will get married before the age of 18 is:
P(both daughters married at 18 years) = P(daughter1 married at 18) × P(daughter2 married at 18)= 0.06 × 0.06= 0.0036
The probability that both daughters will get married by the age of 25 is:
P(both daughters married at 25 years) = P(daughter1 married at 25) × P(daughter2 married at 25)= 0.5 × 0.5= 0.25
The probability that both daughters will get married by the age of 30 is:
P(both daughters married at 30 years) = P(daughter1 married at 30) × P(daughter2 married at 30)= 0.74 × 0.74= 0.5476
The probability that in a family with two daughters, both will be married before the age of 18 is 0.0036. The probability that both daughters will be married by the age of 25 is 0.25. Finally, the probability that both daughters will be married by the age of 30 is 0.5476.
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