Answer:
1,416
Step-by-step explanation:
multiply 12 by 116
Find the slope of 5x+2y=6
In western culture, 4 to 12 feet is considered public space whereas personal space is 1½ to 4 feet. _________________________
The statement; In western culture, 4 to 12 feet is considered public space whereas personal space is 1½ to 4 feet is false.
Western cultureThese refers to culture which is related to the people of the west.
Culture
This can be defined as the beliefs, values, behaviour and material objects that constitute a people's way of life.
Therefore, it is b false that in western culture, 4 to 12 feet is considered public space whereas personal space is 1½ to 4 feet.
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A) y=4x-2
B) y=2x-4
C) y=2x+4
Answer: C
Step-by-step explanation:
First, find the y-intercept of the graph -> when x = 0
In this case, y-intercept is +4. Hence answer is C immediately.
To double confirm the answer, find the gradient.
Gradient of graph is (4-0)/(0-(-2)) = 4/2 = 2 (any two fixed points on the graph can be obtained)
Hence, equation of graph is y = 2x+4 (form y = mx+c, where m is the gradient and c is the y-intercept of the graph)
Find the exact length of the curve.
x = 6 + 3t^2, y = 4 + 2t^3, 0 ≤ t ≤ 3
The exact length of the curve is given by the integral of √(dx/dt)^2 + (dy/dt)^2 from t = 0 to t = 3.
130 words: To find the exact length of the curve defined by x = 6 + 3t^2 and y = 4 + 2t^3, where t ranges from 0 to 3, we can use the formula for arc length. The arc length, denoted as L, is given by the integral of the square root of the sum of the squares of the derivatives of x and y with respect to t, integrated over the range of t.
L = ∫[0 to 3] √((dx/dt)^2 + (dy/dt)^2) dt
First, we find the derivatives:
dx/dt = 6t
dy/dt = 6t^2
Substituting these derivatives into the arc length integral, we have:
L = ∫[0 to 3] √((6t)^2 + (6t^2)^2) dt
L = ∫[0 to 3] √(36t^2 + 36t^4) dt
Simplifying the expression under the square root, we get:
L = ∫[0 to 3] √(36t^2(1 + t^2)) dt
L = ∫[0 to 3] 6t√(1 + t^2) dt
Evaluating this integral will give us the exact length of the curve.
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What is the slope of the equation?
16 = 5 + 3 x
???
Answer:
The slope is undefined
Step-by-step explanation:
y = mx + b
m = slope
y = mx + b
16 = 5 + 3x
-3x -3x
-3x + 16 = 5
-16 -16
-3x = -11
/-3 /-3
x = 11/3
There is no slope, which means that the slop is undefined.
Hope this helps!
Please help me with both problems I’ll mark as brainliest!!!
Answer:
7. x = 9
9. x=7
how do you convert 7/6 into a mixed number or how do you covert fractions into a number in general.
Answer:
1 1/6
Step-by-step explanation:
You can convert 7/6 into a mixed number by subtracting 1 from the improper fraction, because 1= 6/6
7/6 -6/6= 1 1/6
Answer:
7/6 would be 1 1/6
Step-by-step explanation:
To make it a number in general turn into a decimal.
Let f(x;θ) = (1/θ)x(1-θ)/θ , 0< x < 1, 0 < θ < [infinity].
(a) Show that the maximum likelihood estimator of θ isθ =-(1/n)Σni=1 In Xi.
(b) Show that E( θ ) =θ and thus θ is an unbiasedestimator of θ.
Therefore, the MLE of θ is θ = -(1/n) ∑ln(x_i). Therefore, θ is an unbiased estimator of θ.
(a) To find the maximum likelihood estimator (MLE) of θ, we first write the likelihood function as follows:
L(θ|x_1, x_2, ..., x_n) = ∏(i=1 to n) f(x_i; θ)
= ∏(i=1 to n) [(1/θ)x_i(1-θ)/θ]
= (1/θ^n) ∏(i=1 to n) x_i(1-θ)
Taking the natural logarithm of L(θ|x_1, x_2, ..., x_n), we have:
ln(L(θ|x_1, x_2, ..., x_n)) = -n ln(θ) + (1-θ) ∑ln(x_i)
To find the MLE of θ, we differentiate ln(L(θ|x_1, x_2, ..., x_n)) with respect to θ and set the derivative to zero:
d/dθ ln(L(θ|x_1, x_2, ..., x_n)) = -n/θ + ∑ln(x_i) = 0
Solving for θ, we get:
θ = -(1/n) ∑ln(x_i)
(b) To show that θ is an unbiased estimator of θ, we need to find its expected value:
E(θ) = E[-(1/n) ∑ln(x_i)]
= -(1/n) ∑E[ln(x_i)]
= -(1/n) ∑[∫0^1 ln(x_i) (1/θ)x_i(1-θ)/θ dx_i]
= -(1/n) ∑[∫0^1 (1/θ)ln(x_i)x_i(1-θ) d(x_i)]
= -(1/n) ∑[θ(-1/(θ^2))(1/2)ln(x_i)^2|0^1 + (1/θ)(1/2)x_i^2(1-θ)|0^1]
= -(1/n) ∑[(1/2θ)ln(x_i)^2 - (1/2θ)x_i^2(θ-1)]
= -(1/n) [(1/2θ)∑ln(x_i)^2 - (1/2θ)(θ-1)∑x_i^2]
Note that ∑ln(x_i)^2 and ∑x_i^2 are constants with respect to θ. Therefore, we have:
E(θ) = -(1/n) [(1/2θ)∑ln(x_i)^2 - (1/2θ)(θ-1)∑x_i^2]
= (1/2) - (1/2nθ)
Since E(θ) = θ, we have:
θ = (1/2) - (1/2nθ)
Solving for θ, we get:
θ = 1/(n+2)
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PLEASE HELP FOR 25 POINTS. PLEASE EXPLAIN ANSWER
Erin works out the same amount of time each day. Some days, he runs 5 miles. Other days, he walks 2 miles. He walks 4.2 mph slower than he runs. Determine how fast he runs and how long his workout takes.
Answer:
Step-by-step explanation:
15 minutes
solve the equation 4 x - 6 = 6- 2x
Answer:
x=2
Step-by-step explanation:
4x-6=6-2x
(add 2x and 6 to both sides)
6x=12
(divide by six)
x=2
Double Check:
4(2)-6=2
6-2(2)=2
4(2)-6=6-2(2)
Answer:
x=2
Step-by-step explanation:
4x-6=6-2x
move the variables to right and constants to the left
4x+2x=6+6
combine like terms
6x=12
isolate x by dividing by 6 on both sides to find it's value
x=2
i hope this helps :)
Work out
5/8
×
8/25
Give your answer in its simplest form
\(\cfrac{5}{8}\cdot \cfrac{8}{25}\implies \cfrac{5}{25}\cdot \cfrac{8}{8}\implies \cfrac{1}{5}\cdot 1\implies \cfrac{1}{5}\)
One of the legs of a right triangle measures 7 cm and its hypotenuse measures 11 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
8.5 inches
Step-by-step explanation:
7^2 + b^2 = 11^2
b^2 = 72
hence b = 8.5
robert is at the movies with his girl, Maliyah. He has a coupon good for Buy One, Get One Free for a medium popcorn, p. If he buys his popcorn for full price, p, what will he pay for Maliyah’s popcorn?
HELPPP MEH PLEASE
Answer:
well if he has a coupon for a BOGO of buy one get one free then if he pays full price for his then redeems the code then he should get the second one free
Which of these is a random sampling technique which is frequently chosen by researchers for its simplicity and its periodic quality?
Simple random sampling is a frequently chosen for its simplicity and periodicity.
What is frequently ?
Frequently refers to something that happens or occurs often or many times. It is an adverb that describes the regularity of an action or event, indicating that it happens with a high frequency or on a regular basis.
Simple random sampling is a random sampling technique that is frequently chosen by researchers for its simplicity and its periodic quality. This technique involves randomly selecting a sample from a larger population, with each individual in the population having an equal chance of being selected. Simple random sampling is considered to be an unbiased and efficient method for selecting a representative sample, and it is often used as a benchmark for comparing other sampling methods.
Simple random sampling is a frequently chosen for its simplicity and periodicity.
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If a rescue vessel has enough provisions for 10 people to survive for 6 days, how long will
12 people survive on the vessel?
please please please helpppp
The speed of a car passing through the inner city toll road on Jalan Gatot Subroto, Jakarta will be monitored by speed measuring radar through CCTV monitoring. Speed normally distributed with an average of 90 km/hour and a standard deviation of 10 km/hour. The regulations stipulate that a car traveling at a speed of more than 100 km/hour will be ticketed electronically. a) If one day there are 150,000 cars passing the toll road, determine How many cars will be ticketed that day? b) Determine the number of cars traveling at a speed between 70 and 90 km/hour c) Determine the percentage of cars traveling at a speed of less than 75 km/hour d) Determine the probability that a car traveling at a speed of more than 120 km/hour.
The solution in two parts:
* **a)** 15,000 cars will be ticketed that day.
* **b)** 45,000 cars will be traveling at a speed between 70 and 90 km/hour.
* **c)** 50% of cars will be traveling at a speed of less than 75 km/hour.
* **d)** The probability that a car traveling at a speed of more than 120 km/hour is 0.1587.
The speed of cars is normally distributed with an average of 90 km/hour and a standard deviation of 10 km/hour. This means that 68% of cars will be traveling between 80 and 100 km/hour, 16% of cars will be traveling less than 80 km/hour, and 16% of cars will be traveling more than 100 km/hour.
**a)** The number of cars that will be ticketed that day is equal to the percentage of cars traveling more than 100 km/hour multiplied by the total number of cars. This is 16% * 150,000 cars = 15,000 cars.
**b)** The number of cars traveling at a speed between 70 and 90 km/hour is equal to the area under the normal distribution curve between 70 and 90 km/hour. This area is equal to 0.6826, which means that 45,000 cars will be traveling at this speed.
**c)** The percentage of cars traveling at a speed of less than 75 km/hour is equal to the area under the normal distribution curve below 75 km/hour. This area is equal to 0.50, which means that 50% of cars will be traveling at this speed.
**d)** The probability that a car traveling at a speed of more than 120 km/hour is equal to the area under the normal distribution curve above 120 km/hour. This area is equal to 0.1587, which means that there is a 15.87% chance that a car will be traveling at this speed.
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Write $a^4 - 3a^2 + 9$ as a product of two monic quadratics with integer coefficients.
$a^4 - 3a^2 + 9$ can be factorised as $(a^2 - 3)(a^2 + 3)$
To factor $a^4 - 3a^2 + 9$ as a product of two monic quadratics with integer coefficients, we can use the difference of squares factorization.
When an expression has the general form a²+2ab+b², then we can factor it as (a+b)². For example, x²+10x+25 can be factored as (x+5)². This method is based on the pattern (a+b)²=a²+2ab+b², which can be verified by expanding the parentheses in (a+b)(a+b).
$a^4 - 3a^2 + 9$ can be factored as $(a^2 - 3)(a^2 + 3)$
Notice that both factors are monic quadratics with integer coefficients.
So, $a^4 - 3a^2 + 9$ = $(a^2 - 3)(a^2 + 3)$
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How do u write 0.57 repeating as a fraction in simplest form explain the steps please!
Answer:
57/99
Step-by-step explanation:
let's set up an equation:
x = 0.5757...
set up a second equation so the numbers after the decimal places are equal
100x = 57.5757...
subtract
100x = 57.5757...
- x = 0.5757
99x = 57
divide by 99
x = 57/99
0.57 repeating can be expressed as the fraction 19/33 in simplest form.
We have,
Let x = 0.575757... (with 57 repeatings)
Multiplying x by 100,
100x = 57.575757...
Subtracting the original x from 100x,
100x - x = 57.575757... - 0.575757...
99x = 57
To obtain x, divide both sides by 99:
x = 57/99
Dividing both the numerator and denominator by 3,
x = (57/3) / (99/3)
x = 19/33
Therefore,
0.57 repeating can be expressed as the fraction 19/33 in simplest form.
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20% of a number is 12.
what is the whole number?
Answer:
60 that is the answer
Step-by-step explanation:
A unit rate has to have a denominator of_________.
Answer:
1
Step-by-step explanation:
For example, mph is measured in miles per hour, the number of miles driven in one hour.
Answer:
1
Step-by-step explanation:
When a rate is simplified so that it has a denominator of 1, it is called unit rate.
During an experiment 6 out of 50 students decided they wanted to play volleyball. Using this data, predict how many student would select volleyball if there were 200 students?
A
3/50
B
24/200
C
4/100
D
10/500
Answer this as soon as possible
Answer:
A. -6 - 15 = - 21
Volatile organic compounds a are considered a secondary criteria pollutant. b are often odorless and therefore present a great danger to humans. c are responsible for increasing greenhouse gas concentrations. d evaporate easily and contribute to ozone formation.
Volatile organic compounds (d) evaporate easily and contribute to ozone formation.
The Volatile-organic-compounds (VOCs) are "organic-chemicals" which have high "vapor-pressure" and evaporate readily into atmosphere. They come from various sources, including industrial processes, vehicle emissions, solvents, and household products.
When VOCs are released into the air, they can contribute to the formation of ground-level ozone through complex chemical reactions involving sunlight and other pollutants. Ground-level ozone is a harmful air pollutant and a primary-component of smog.
Therefore, the correct option is (d).
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The given question is incomplete, the complete question is
Volatile organic compounds
(a) are considered a secondary criteria pollutant,
(b) are often odorless and therefore present a great danger to humans,
(c) are responsible for increasing greenhouse gas concentrations,
(d) evaporate easily and contribute to ozone formation.
Verify that the function
y=x^2+c/x^2
is a solution of the differential equation
xy′+2y=4x^2, (x>0).
b) Find the value of c for which the solution satisfies the initial condition y(4)=3.
c=
The given function y= x² + c/x² is a solution of the differential equation xy′ + 2y = 4x² for all values of c.
The value of c for which the solution satisfies the initial condition y(4) = 3 is -208.
The given function y= x² + c/x² is a solution of the differential equation xy′ + 2y = 4x², when c= 1/16. The solution satisfies the initial condition y(4)=3. Find the value of c for which the solution satisfies the initial condition y(4)=3.The given differential equation is xy′ + 2y = 4x²Given function y = x² + c/x²To prove that the given function is a solution of the differential equation, we need to differentiate the given function y with respect to x.
We get y′ = 2x - 2c/x³ Put these values of y and y′ in the given differential equation xy′ + 2y = 4x²x(2x - 2c/x³) + 2(x² + c/x²) = 4x²2x² - 2c/x² + 2x² + 2c/x² = 4x²4x² = 4x² Therefore, the given function y= x² + c/x² is a solution of the differential equation xy′ + 2y = 4x² for all values of c.
To find the value of c such that the solution satisfies the initial condition y(4) = 3.We know thaty = x² + c/x²At x = 4, y = 3 Substitute the value of x and y in the above equation3 = 4² + c/4²3 = 16 + c/16c/16 = 3 - 16c = (3 - 16)×16 = -208
Thus, the value of c for which the solution satisfies the initial condition y(4) = 3 is -208.
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y-2=-(x-7) slope intercept form
Answer:
y= -x+9
Step-by-step explanation:
PLEASE MARK BRAINLIESTFind the equation of a line perpendicular to y=4/3x8 that pae through the point (-8,-4)
The equation of a line perpendicular to y=4/24x that pass through the point (-8, -4) is -6x-4y=16 where x-intercept is -6 and y-intercept is -4.
What is an equation or line?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables.
What is equation of a straight line?The formula for a straight line is y=mx+c where c is the height at which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.
Given line ;
y=1x/6
now comparing it with y=mx+c to find the value of m and we found;
m1=1/6
now if two lines are perpendicular then,
m1.m2=-1
m2=-6
now finding the equation of line passing through the point (-8, -4)
x1=-8
y1=-4
(y−y1)=m(x−x1)
Y+4=(-6)(x+4)
Y+4=(-6x/4)
Y=(-6x/4)-4
Y=(-6x-16)/4
4y=-6x-16
rearrange;
-6x-4y=16
this is our required value.
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You are considering purchasing a consol that promises annual payments of $4. a. If the current interest rate is 3 percent, what is the price of the consol? Instructions: Round your answer to the nearest penny (2 decimal places). The price of the consol is $ b. You are concerned that the interest rate may rise to 4 percent. Compute the percentage change in the price of the consol and the percentage change in the interest rate. Compare them. Instructions: Round your answer for dollar amounts to the nearest penny (2 decimal places ) and answers for percentages to the nearest tenth (1 decimal place) The new price of the consol would be $ The price of the consol falls by 7% and the interest rises by 7% c. Your investment horizon is one year. You purchase the consol when the interest rate is 5 percent and sell it a year later, following a rise in the interest rate to 6 percent. What is your holding period return? Instructions: Round your answer to the nearest tenth (1 decimal place) Your holding period return is %
a. The price of the consol is approximately $133.33.
b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.
c. Your holding period return is approximately -49.99%.
a. The price of the consol can be calculated using the formula for the present value of a perpetuity:
Price = Annual Payment / Interest Rate
In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:
Price = $4 / 0.03 ≈ $133.33
Therefore, the price of the consol is approximately $133.33.
b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:
New Price = Annual Payment / New Interest Rate
Substituting the values, we get:
New Price = $4 / 0.04 = $100
The percentage change in the price of the consol can be calculated using the formula:
Percentage Change = (New Price - Old Price) / Old Price * 100
Substituting the values, we have:
Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%
The percentage change in the interest rate is simply the difference between the old and new interest rates:
Percentage Change in Interest Rate = (4% - 3%) = 1%
Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.
c. The holding period return can be calculated using the formula:
Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100
The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:
Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67
Substituting the values into the holding period return formula:
Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%
Therefore, the holding period return is approximately -49.99%.
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Find the Error
A student found the volume of the cylinder shown. Find her mistake and correct it.
The student used the _____ in the calculation instead of the _____. The correct volume is _____ in3. (Rounded to the nearest tenth.)
The student used the 8 in the calculation instead of the 4 inches, the correct volume is 1155.5 in³
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The student used the 8 in the calculation instead of the 4.
In r we have to substitute 4 instead of 8 because 8 is the diameter of the cylinder.
Radius = Diameter/2
=8/2
=4 inches
Volume=3.14×4²×23
=3.14×16×23
=1155.52 cubic inches
Hence, The student used the 8 in the calculation instead of the 4 inches, the correct volume is 1155.5 in³
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what is the quotient of 2 1/2÷1/6
Answer:
.65625
Step-by-step explanation:
Answer:
The answer is 15
Step-by-step explanation: