Answer:
sounds like you're doing a geometry proof. First ask yourself if you believe BC=DA... then ask yourself why do you believe or know it to be true. keep challenging yourself until you find the reason.
what is 6 dived by 20?
Answer:
0.3
Step-by-step explanation:
Answer:
6 divided by 20 is 0.3
(your welcome)
9x9/16+12 whats the answer
Answer:
17.0625
Step-by-step explanation:
Due to order of operations the division and multiplication get done first and the we add the 12
Answer:
2.89285714
Step-by-step explanation:
9x9/16+12
81/16+12
5.0625 + 12 = 17.0625
Hope this helps :)
Two angles are supplementary if they add up to?l
Answer:
The answer is 180 degrees.
Step-by-step explanation:
Supplemtary angles are angles that add up to 180.
Answer:
They add up to 180°
Step-by-step explanation:
A supplementary angle is two angles that add up to 180°. So if two angles are next to each other they are supplementary. Also, some examples of supplementary angles are: Corresponding Angles, Alternate Interior Angles, and a few other types of angle sets.
Hope This Helps :)
There are 24 students in a class. 3/4 of them brought a pencil to class. How many students need a pencil for class?
find the positive suare root of the following number 57.27
The positive square root of 57.27 is approximately 7.5726, with further decimal places available through iterative approximation methods.
To find the positive square root of the number 57.27, we can use a calculator or mathematical operations.
Taking the square root of a number involves finding a value that, when multiplied by itself, gives the original number. In this case, we want to find the value that, when squared, equals 57.27.
Using a calculator, we can find the square root of 57.27 as approximately 7.5726. However, it's important to note that this is an approximation and may not be completely accurate due to rounding errors.
If we want to find a more precise answer manually, we can use iterative approximation methods. One such method is the Newton-Raphson method, which involves repeatedly refining an initial guess.
Starting with an initial guess of, let's say, 7, we can use the formula:
x(n+1) = (x(n) + (57.27/x(n)))/2,
where x(n) is the current approximation and x(n+1) is the next approximation. Iterating this formula a few times will converge to a more accurate value.
After a few iterations, we find that the positive square root of 57.27 is approximately 7.572615. This value can be further refined by performing more iterations or using more advanced numerical methods.
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A gym was advertised to cost $23 a month with a one-time fee of $74. If the total
bill was $373, how many months was paid for? *
Your answer
Answer:
Step-by-step explanation:
$373 - $74 = $299
299 divided by 23 = 13
13 months (?)
A gym offers its members an optional clean towel service for $16.40 each month.
The gym has 62 members that use the towel service.
At the end of the first week, 12 members that use the towel service had paid the fee.
The remaining members that use the towel service paid during the second week of the month.
How much money was collected during the second week of the month for the towel service?
The money collected during the second week was : 840
Determine the amount collectedAnalysis:
Total number of persons.
number of persons that paid first week = 12
number that paid second week = 62 - 12 = 50
if each person is to pay 16.40, then 50 people would pay = 16.4 x 50 = 840 dollars.
Hence we can conclude that The money collected during the second week was : 840
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|3y - 7| - 10 = -5 solve for y:
Answer: y=1.25
Step-by-step explanation:
First things first you have to find what is in the bracket things (i don’t know what it’s called) So 3 - 7 is -4y but since it’s absolute it’s going to be 4y.
So now you’ve got 4y - 10 = -5. Your going to want to eliminate 10 so, subtract 10 to both sides giving you 4y = -5
Lastly to get y by itself you need to divide it by its self so, 4y divided by 4. Do it to both sides. This gives you…
Y = 1.25
What does CoTangent Theta Equal?
Answer: cot θ ≈ -3.4470190
Step-by-step explanation:
We are given csc θ = 3.5891420
That means sin theta = 1/(csc theta) = 0.278618121
Using the arcsin function on a calculator, we get θ = 0.282354953 radians.
But the terminal side of central angle theta lies in Quadrant II, so 0.282354953 radians is really θ', the reference angle in Quadrant II.
That means that actually θ= (π - 0.282354953) = 2.8592377
tan θ = -0.290105737
cot θ = 1/tan θ ≈ -3.4470190
cot θ ≈ -3.4470190
I hope this was helpful.
A 12 oz box of sugar costs $3.10 and a 36 oz box of sugar costs $7.90. Which box of sugar is the better buy?
Answer: 36 oz box
Step-by-step explanation:
3.1/12=0.258333
7.9/360.291444
Thus, the 36 oz box is the better buy
Write the equation of a line that is BOTH PARALLEL and PERPENDICULAR
to
2x + 4y = 16 through ( 12,15)
Equation for the parallel line:
Equation for the perpendicular line:
Answer:
Parallel line: y=-x+27
Perpendicular line: y=x+3
Step-by-step explanation:
y=mx+b, where m is the slope and b is the y-intercept.
Rearrange '2x+4y=16' to fit this format:
2x + 4y = 16
x+y=8
y=-x+8
Parallel line
If two lines are parallel, they have the same slope. So our equation goes from y=mx+b to y=-x+b. We know the line goes through (12,15), so we sub this in to get b:
15=-12+b
b=27
So our equation is y=-x+27
Perpendicular line
If two lines are perpendicular, the slope of one line is the negative inverse of another: eg, if a line had slope=3, the line perpendicular to it would have slope=-1/3. The negative inverse of -1 is 1, so our equation goes from y=mx+b to y=x+b.We know the line goes through (12,15), so we sub this in to get b:
15=12+b
b=3
So our equation is y=x+3
What is the intermediate step in the form
(x+a)^2=b as a result of completing the square for the following question
The intermediate step in completing the square is\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\)
To complete the square for the equation \($(x+a)^2=b$\), we can follow these steps:
1. Expand the left side of the equation: \($(x+a)^2 = (x+a)(x+a) = x^2 + 2ax + a^2$\).
2. Rewrite the equation by isolating the squared term and the linear term: \($x^2 + 2ax = b - a^2$\).
3. To complete the square, take half of the coefficient of the linear term, square it, and add it to both sides of the equation:
\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\).
4. Simplify the right side of the equation: \($x^2 + 2ax + (a^2) = b$\).
This step can be represented as: \(\[x^2 + 2ax + (a^2) = b - a^2 + (a^2)\]\)
This intermediate step helps us rewrite the equation in a form that allows us to factor it into a perfect square.
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A population of values has a normal distribution with �=189.7 and �=96.7. You intend to draw a random sample of size �=62.
Find the probability that a single randomly selected value is between 189.7 and 213.
P(189.7 < X < 213) =
Find the probability that a sample of size �=62 is randomly selected with a mean between 189.7 and 213.
P(189.7 < M < 213) =
Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.
To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.
Step 1: Calculate the z-scores for the given values using the formula:
z = (x - μ) / σ
For 189.7:
z1 = (189.7 - 189.7) / 96.7 = 0
For 213:
z2 = (213 - 189.7) / 96.7 ≈ 0.2417
Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.
P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939
Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.
To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance
Step 1: Calculate the standard error of the mean (σ_m) using the formula:
σ_m = σ / sqrt(n)
σ_m = 96.7 / sqrt(62) ≈ 12.2878
Step 2: Convert the given qualities to z-scores utilizing the equation:
z = (x - μ) / σ_m
For 189.7:
z1 = (189.7 - 189.7) / 12.2878 = 0
For 213:
z2 = (213 - 189.7) / 12.2878 ≈ 1.8967
Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.
P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702
Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.
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what is 48 divide by -6 =
Answer:
-8
Step-by-step explanation:
any number divided by a nega is going to be neg if it is multiplied by two nega's its positive.
a. Find the first and second derivative of the following function in terms of the parameters c1 and c2.
y = c1x + c2x4 y′
b. Find a linear second-order differential equation F(x, y, y′, y″) = 0 for which y = c1x + c2x4 is a two-parameter family of solutions. Make sure that your equation is free of the arbitrary parameters c1 and c2. (Use yp for y′ and ypp for y″.)
Answer:
Linear second-order differential equation F(x, y, y′, y″) = 0
y¹¹( -3 x⁴ )+ y¹12 x³ - 12 x² y= 0
Step-by-step explanation:
Step(i):-
Given differential equation
y = c₁x + c₂x⁴ ...(i)
Differentiating equation (i) with respective to 'x', we get
y¹ = c₁(1) + c₂ ( 4 x³ ) ...(ii)
Differentiating equation (ii) with respective to 'x', we get
y¹¹ = c₂ ( 12 x² )
\(C_{2} = \frac{y^{11} }{12 x^{2} }\) ...(a)
Step(ii):-
Substitute (a) in equation (ii)
\(y^{l} = C_{1} + (\frac{y^{ll} }{12x^{2} } ) (4 x^{3} )\)
\(C_{1} = y^{l} - (\frac{y^{ll} }{12 x^{2} } ) (4 x^{3} )\) ...(b)
\(C_{2} = \frac{y^{11} }{12 x^{2} }\)
Step(iii):-
\(y = (y^{l} - (\frac{y^{ll} }{12 x^{2} } ) (4 x^{3} ) x + \frac{y^{ll} }{12 x^{2} } x^{4}\)
12 x² y = (y¹12 x³ - 4 x⁴ y¹¹) + x⁴ y¹¹
x⁴ y¹¹ - 4 x⁴ y¹¹ + y¹12 x³ - 12 x² y= 0
y¹¹( -3 x⁴ )+ y¹12 x³ - 12 x² y= 0
find the perimeter of OQR
The perimeter of the triangle OQR is 68 cm
How to determine the perimeter of the triangle OQRFrom the question, we have the following parameters that can be used in our computation:
Circles with the centers O, Q and R
When these centers are connected, the connection forms a triangle
The triangle OQR
Also from the question, we have the following values of radii
Radii = 8 cm, 11 cm and 15 cm
The perimeter of the triangle OQR is calculated as
Perimeter = Twice the sum of the radii
Substitute the known values in the above equation, so, we have the following representation
Perimeter = 2 *(8 + 11 + 15)
Evaluate the sum
Perimeter = 2 * 34
Evaluate the products
Perimeter = 68
Hence, the perimeter is 68 cm
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
For questions 1 – 6, find the area of the circle to the nearest hundredth.
Answer:
(a) \(Area = 232.23\ cm^2\)
(b) \(Area = 52.78\ cm^2\)
(c) \(Area = 373.06cm^2\)
Step-by-step explanation:
The area of a circle:
\(Area = \pi r^2\)
Where
\(\pi = 3.14\)
Solving (a):
\(r = 8.6cm\)
\(Area = \pi r^2\)
\(Area = 3.14 * (8.6cm)^2\)
\(Area = 3.14 * 73.96cm^2\)
\(Area = 232.2344cm^2\)
\(Area = 232.23\ cm^2\) --- Approximated
Solving (b):
\(r = 4.1cm\)
\(Area = \pi r^2\)
\(Area = 3.14 * (4.1cm)^2\)
\(Area = 3.14 * 16.81cm^2\)
\(Area = 52.7834cm^2\)
\(Area = 52.78\ cm^2\) --- Approximated
Solving (c):
\(r = 10.9cm\)
\(Area = \pi r^2\)
\(Area = 3.14 * (10.9cm)^2\)
\(Area = 3.14 * 118.81cm^2\)
\(Area = 373.0634cm^2\)
\(Area = 373.06cm^2\) --- Approximated
The risk-free rate is 8%, and the expected return on the market is 16%. As an analyst, you are preparing a recommendation report on the following stock:
Stock S
Beta 0.85
Expected dividend next year $1.10
Growth rate (g) 8%
Current Price (p0) $22
Using the SML, would you recommend to buy or sell the stock?
A) Sell, because the required rate is greater than the expected rate.
B) Sell, because the expected rate is greater than the required rate.
C) Buy, because the required rate is greater than the expected rate.
D) Buy, because the expected rate is greater than the required rate.
Correct Option is,
D) Buy, because the expected rate is greater than the required rate.
Now, Based on the information you've provided,
To calculate the required rate of return, we can use the SML formula as;
Required rate of return = risk-free rate + beta x (expected market return - risk-free rate)
Plugging in the numbers, we get:
Required rate of return = 8% + 0.85 x (16% - 8%)
= 14.6%
Since the expected rate of return for Stock S is,
= dividend yield + growth rate
= (1.1 / 22 + 8%),
= 9.4%
which is higher than the required rate of return of 14.6%,
Here, the stock is undervalued and would be a good buy.
Therefore, the answer is, option D) Buy, because the expected rate is greater than the required rate.
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help me please thank you!!
Answer:
answer choice 2
Step-by-step explanation:
Please help!!!! It’s urgent
Which of the following rational functions is graphed below?
-10
10-
-10
1
A. F(x) = 1/x(x+3)
B. F(x)= x/x+3
C. F(x)= 3/x
D. F(x)= 1/x(x-3)
Answer:
the answer is D. F(x) = 1/x(x-3)
Step-by-step explanation:
In a sample of 41 water specimens taken from a construction site, 23 contained detectable levels of lead.
A 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is 0.409
Answer:
drippy pen iss
Step-by-step explanation:
Which description represents the expression 4−x/3?
A. 4 minus the quotient of a number and 3
B. 4 times the quotient of a number and 3
C. 4 added to the product of a number and 3
D. 4 minus a number times 3
Answer:
A, I think
Step-by-step explanation:
Graph the line with slope 1/3 and y-intercept −2.
The graph of the function y = 1/3x - 2 is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
Slope = 1/3y-intercept = -2So, the equation is
y = 1/3x - 2
The above function is a linear function that has been transformed as follows
Vertically stretched by a factor of 1/3Shifted down by 2 unitsNext, we plot the graph using a graphing tool by taking note of the above transformations rules
The graph of the function is added as an attachment
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Suppose a life insurance company sells a ​$190,000 ​one-year term life insurance policy to a 19​-year-old female for ​$290. The probability that the female survives the year is 0.999563. Compute and interpret the expected value of this policy to the insurance company.
Answer:
The expected value of this policy to the insurance company is $206.97
Step-by-step explanation:
Probability that Person doesn't die = 0.999563. Profit = Revenue - Cost; Profit = $290 - 0 = $290
Probability that Person dies = 1 - 0.999563 = 0.000437. Profit = Revenue - Cost; Profit = $290 - $190,000 = -$189,710
Expected Value E(X) = ∑xp(x)
E(X) = $290*(0.999563) + (-$189,710* 0.000437)
E(X) = $289.87327 - $82.90327
E(X) = $206.97
Thus, the expected value of this policy to the insurance company is $206.97
Divide 2.9 x 107 by 6.9 x 103 by using scientific notation. Round your answer to one decimal place in scientific notation with no spaces.
Step-by-step explanation:
Its answer should be 4.366117912↑-01
What are the domain and range of the function f(x)=-x+3-2? domain: -3 -2 domain: -3 -3 range: y<-2 domain: x>-3 range:y>-2
For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.
The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.
The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).
The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.
So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.
Correct option is D.
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Complete question is:
What are the domain and range of the function f(x)=-x+3-2?
A) domain: -3 -2
B) domain: -3 -3 range: y<-2
C) domain: x>-3 range:y>-2
D) domain : x>-3 range: y ≤ 2
in a football tournament at group stage there are five football teams in a group, Brazil, England, Scotland, Argentina and France. Each team plays every other team in their group. There are ten matches altogether. Two teams are picked at random to play the first match. Work out the probability that the first game will be played by a European team and a South American team.
Answer:
6/25
Step-by-step explanation:
Because england, scotland and france are european team and they make up 3/5 of all the teams, you multiply 3/5 by 2/5 because the south american teams are brazil and argentina which make up 2/5 of the total teams. So the probability that a european team will play a south american team is 3/5*2/5 which is 6/25
Cylinder M and cylinder N are similar. The radius of cylinder N is equal to its height, and the ratio of the height of cylinder N to the height of cylinder M is 5: 3. The surface area of cylinder N is 256 square feet greater than the surface area of cylinder M. Find the surface area of each cylinder.
The surface area of cylinder M is approximately 131.95 square feet and the surface area of cylinder N is approximately 319.77 square feet.
What is a cylinder?
A cylinder is a three-dimensional geometric shape that consists of two congruent parallel bases in the shape of circles or ellipses, and a curved surface that connects the bases. The height of a cylinder is the perpendicular distance between the bases. A cylinder is a type of prism, and it can be classified as either a right cylinder or an oblique cylinder depending on whether or not its axis is perpendicular to its bases. Right cylinders have circular bases and their axis is perpendicular to the bases, while oblique cylinders have elliptical bases and their axis is not perpendicular to the bases.
Now,
Let the radius of cylinder M be r and its height be h. Then, the radius and height of cylinder N are both 2r, since the radius is equal to the height.
Since the cylinders are similar, their dimensions are proportional, which means:
(height of N) / (height of M) = 5/3
(radius of N) / (radius of M) = (2r) / r = 2
Using the formula for the surface area of a cylinder, we can write:
Surface area of cylinder M: 2πr² + 2πrh
Surface area of cylinder N: 2π(2r)² + 2π(2r)(5/3)h
We are told that the surface area of cylinder N is 256 square feet greater than the surface area of cylinder M. So we can set up the equation:
2π(2r)² + 2π(2r)(5/3)h = 2πr² + 2πrh + 256
Simplifying and solving for h, we get:
4r² + 20rh/3 = r² + rh + 128
3r² - rh - 128 = 0
(3r + 32)(r - 4) = 0
Since the height of the cylinder cannot be negative, we take the positive solution r = 4. Then, the height of cylinder M is (3/5)(4) = 12/5, and the height of cylinder N is 2(4) = 8.
Using the formulas for surface area, we can find the surface areas of both cylinders:
Surface area of cylinder M: 2π(4)² + 2π(4)(12/5) = 131.95 square feet
Surface area of cylinder N: 2π(2(4))² + 2π(2(4))(8) = 319.77 square feet
Therefore, the surface area of cylinder M is approximately 131.95 square feet and the surface area of cylinder N is approximately 319.77 square feet.
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What ratio is equivalent to 8/6
Answer:
3rd option: 32/24
Step-by-step explanation:
8/6 = 4/3
1st option: Now let's change the denominator to 24:
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
2nd option: Now let's change the numerator to 24:
4/3 ==> 24/?
4/3 =
4*6 / 3*6 = 24/18, not 24/32
24/32 = 3/4, not 4/3 ==> don't get confused by this
3rd option: 32/24 is correct [Look at the explanation for 1st option]
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
Hence, the 3rd option is correct.