9514 1404 393
Answer:
0.4, 0.004, 0.004
Step-by-step explanation:
The "what" in each case is found by dividing the target value by 10. That is accomplished by moving the decimal point one place to the left.
4/10 = 0.4 ⇒ 10 times 0.4 = 4
0.04 and .04 are exactly the same value, so the last two on your list are the same:
0.04/10 = 0.004 ⇒ 10 times .004 = 0.04
rob attends 3 music classes for $15. what ratio represents the situation?
Answer:
3x=15
Step-by-step explanation:
theres 3 classes
x=the price of each
15$ is the total
Can someone answer this question really quick
Simplify the expression by combining like terms.
43a−12b+13a+52b
Enter your answer as an expression, like this: 42x+53
Answer:
\(56a+40b\)
Step-by-step explanation:
\(43a+13a-12b+52b=56a+40b\)
For me and Thomas uhh
Answer:
what does that question mean?
The basement of a skyscraper is 60 feet below ground. The top of the skyscraper is 1200 feet above ground. What is the distance from the basement of the skyscraper to the top of the skyscraper? Explain your answer.
Answer:
1260
Step-by-step explanation:
-60 to 0 is 60
0 to 1200 is 1200
1200 + 60 = 1260
Answer:
1140
Step-by-step explanation:
awan ko triny ko lang magsagot✌️
o study the effectiveness of a certain adult reading program, researchers will select a random sample of adults who are eligible for the program. The selected adults will be given a pretest before beginning the program and a posttest after completing the program. The difference in the number of correct answers on the pretest and the number of correct answers on the posttest will be recorded for each adult in the sample.
Which of the following is the most appropriate inference procedure for the researchers to use to analyze the results?
A one-sample t-interval for a population mean
A matched-pairs t-interval for a population mean difference
The center remains constant, and the area in the tails of the distribution increases.
The most appropriate inference procedure for the researchers to use to analyze the results is a matched-pairs t-interval for a population mean difference.
Determine the population mean difference?A matched-pairs t-interval for a population mean difference is suitable for this study because it involves comparing the pretest and posttest scores of the same individuals.
The researchers are interested in determining whether there is a significant difference in the number of correct answers before and after the adult reading program.
By using a matched-pairs t-interval, the researchers can analyze the mean difference in scores and determine the range within which the true population mean difference is likely to fall. This inference procedure takes into account the paired nature of the data, accounting for individual differences and increasing the precision of the estimate.
It is important to use this procedure as it considers the correlation between the pretest and posttest scores for each individual, providing a more accurate assessment of the program's effectiveness.
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A warehouse worker wearing a dosimeter has recorded the following noise level data: Station 1: 82 dBA at 3.5 hours Station 2: 97 dBA at 1.5 hour Station 3: 85 dBA at 2 hours Using Table of Equivalent values: Steady Sound Level (dBA) Duration 82 16 hours 85 8 hours 88 4 hours 91 2 hours 94 1 hours 97 30 minutes 100 15 minutes 103 7.5 minutes 106 3.75 minutes 109 1.88 minutes 112 0.94 minutes 115 28.12 seconds Determine the percentage exposure. Is it within the OEL value? Explain
The percentage exposure needs to be calculated by converting the duration of each noise level and comparing it to the OEL (Occupational Exposure Limit) value to determine if it is within the acceptable range.
The percentage exposure is [to be calculated]. It needs to be compared to the OEL (Occupational Exposure Limit) value to determine if it is within the acceptable range.
In order to calculate the percentage exposure, we need to convert the duration of each noise level into hours and sum them up. For Station 1, the duration is 3.5 hours, for Station 2 it is 1.5 hours, and for Station 3 it is 2 hours. We can then use the table of equivalent values to find the corresponding steady sound levels and their durations. By multiplying each steady sound level by its duration and summing them up, we can calculate the total exposure.
Once we have the total exposure, we can compare it to the OEL value, which represents the maximum allowable exposure. If the percentage exposure is within the OEL value, it means that the worker's exposure to noise is within the acceptable limit. If the percentage exposure exceeds the OEL value, it indicates that the worker has been exposed to noise levels that exceed the recommended limit, which may have potential health and safety implications.
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find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = x 8 , y = 1 about y = 2
To find the volume of the solid obtained by rotating the region bounded by the curves y = x^8 and y = 1 about the line y = 2, we can use the method of cylindrical shells.
In more detail, when we rotate a region bounded by two curves around a line, we can think of it as stacking infinitely thin cylindrical shells along the axis of rotation. The volume of each shell is given by the product of its height, circumference, and thickness.
In this case, the region is bounded by the curves y = x^8 and y = 1, and we are rotating it about the line y = 2. To set up the integral for the volume, we consider a representative shell at a particular x-value. The height of the shell is the difference between the curves, which is 2 - x^8. The circumference of the shell is given by 2πy, which is 2π(2 - x^8). The thickness of the shell is dx.
To find the volume, we integrate the product of the height, circumference, and thickness over the interval where the curves intersect. The integral expression is:
V = ∫[a,b] (2π(2 - x^8))dx
To find the limits of integration, we solve the equations y = x^8 and y = 1 to find the x-values where the curves intersect. Setting x^8 = 1 gives x = 1. Taking the eighth root of both sides, we get x = 1. The other intersection point is at x = 0.
Substituting the limits of integration into the integral expression, we have:
V = ∫[0,1] (2π(2 - x^8))dx
Evaluating this integral will give us the volume of the solid obtained by rotating the region about the specified axis.
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Evaluate the indefinite integral as a power series. What is the radius of convergence? /tan-¹ (2²) dz
The resulting power series is convergent within a certain interval.
The radius of convergence for the power series ∫arctan(2x²) dx is 3/2.
We have,
To evaluate the indefinite integral ∫arctan(2x^2) dx as a power series, we can use the power series expansion of the arctan function.
The power series expansion of arctan(x) is given by:
arctan(x) = x - (x³)/3 + (\(x^5\))/5 - (\(x^7\))/7 + ...
Substituting 2x² in place of x, we have:
\(arctan(2x^2) = 2x^2 - (2x^2)^3/3 + (2x^2)^5/5 - (2x^2)^7/7 + ...\)
Simplifying the terms, we have:
\(arctan(2x^2) = 2x^2 - (8x^6)/3 + (32x^{10})/5 - (128x^{14})/7 + ...\)
Integrating each term of the power series, we get:
\(∫arctan(2x^2) dx = ∫(2x^2 - (8x^6)/3 + (32x^{10})/5 - (128x^{14})/7 + ...) dx\)
\(= (2/3)x^3 - (8/21)x^7 + (32/55)x^{11} - (128/99)x^{15} + ...\)
The resulting power series is convergent within a certain interval.
Now,
To find the radius of convergence for the power series ∫arctan(2x^2) dx, we need to determine the interval in which the series converges.
The radius of convergence (R) can be found using the formula:
R = 1 / lim sup |ax / a(x+1)|,
where ax represents the coefficients of the power series.
In this case, the coefficients are given by:
ax = {2/3, 0, -8/21, 0, 32/55, 0, -128/99, ...}
To apply the ratio test, we take the limit as n approaches infinity of the absolute value of the ratio of consecutive coefficients:
|ax / a(x+1)| = |(2/3)(n+1)/n|
Taking the limit as n approaches infinity:
lim n→∞ |ax / a(x + 1)| = lim n → ∞ (2/3)(n+1)/n = 2/3
Since the limit is a finite value, the series converges for all values of x within a radius of convergence R = 1 / (2/3) = 3/2.
Therefore,
The resulting power series is convergent within a certain interval.
The radius of convergence for the power series ∫arctan(2x²) dx is 3/2.
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A square frame has sides that measure 1.75 m when it is at rest. What is the area of the frame when it moves parallel to one of its diagonal with a speed of 0.88c as indicated in the figure ?
m²
Measurements taken in a different frame of reference reveal a decrease in their dimensions—the only component that is parallel to the motion—and a delay in time—commonly referred to as "Length Contraction" and "Time Dilation"
when the objects are moving at a speed that is comparable to the speed of light and is in the order of C. The following is a discussion of the given relativistic issue.
The length AC is the only length that observers using the platform frame of reference would perceive as being shorter (the length).
What is change in measurement?
Estimation of progress alludes to the evaluation of fluctuation from one viewpoint, and to the appraisal of progress in a smaller sense then again. Short-term and reversible fluctuations (such as mood state variability) are characteristics of variability.
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solve the given initial-value problem. x(x + 1) dy dx + xy = 1, y(e) = 1
The solution to the initial-value problem x(x + 1) dy/dx + xy = 1, y(e) = 1 is y = ln(x + 1) / x.
To solve the given initial-value problem, we can use the method of integrating factors. Rearranging the equation, we have dy/dx + (xy / (x(x + 1))) = 1 / (x(x + 1)).
The integrating factor is given by μ(x) = exp ∫ (xy / (x(x + 1))) dx. Simplifying the integral, we have μ(x) = exp ∫ (1 / (x + 1)) dx = exp(ln(x + 1)) = x + 1.
Multiplying the entire equation by the integrating factor, we obtain (x + 1)dy/dx + xy = (x + 1) / (x(x + 1)).
The left side of the equation can be written as d((x + 1)y)/dx. Integrating both sides with respect to x, we have ∫ d((x + 1)y)/dx dx = ∫ (x + 1) / (x(x + 1)) dx.
Simplifying the right side of the equation, we get ∫ dx / x = ln|x| + C.
Dividing both sides by (x + 1), we have (x + 1)y = ln|x| + C.
Finally, solving for y, we find y = (ln|x| + C) / (x + 1). Using the initial condition y(e) = 1, we can substitute x = e and solve for C to obtain the specific solution y = ln(x + 1) / x.
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how do you Express the area of the entire rectangle.
Answer:
x^2+6x+8 or (x+2)*(x+4)
Step-by-step explanation:
area = length * width
area = (x+2)*(x+4)
(just expanded the brackets)
area = x^2+6x+8
Answer:
x^2+6x+8
Step-by-step explanation:
The initial way to represent the area of the entire rectangle is (x+2)*(x+4).
With this, we can multiply the two together using the FOIL method (First, Outside, Inside, Last).
x*x=x^2
x*4=4x
2*x=2x
2*4=8
Add these together, and you get your final answer:
x^2+6x+8
Becca made 2 trays of rolls and bisouits. Each tray had 12 folls and 6 biscuits. How many total rols and bisouits did Beca make?
Becca made a total of 24 rolls and 12 biscuits.
Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.
Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:
Total rolls = 2 trays × 12 rolls per tray = 24 rolls
Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits
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What is the area of triangle ABC?
Answer:
3 square units
Step-by-step explanation:
Use BC as the base = 2
Use y -axis to C (or B) as the height = 3
Area of triangle = 1/2 * base * height = 1/2 * 2 * 3 = 3 units^2
What is the equation of a circle centered at (2, 1) that
passes through the point (-3, 4)?
The general equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.
In this case, the center is (2, 1) and the circle passes through (-3, 4), so we can plug in those values:
(x - 2)^2 + (y - 1)^2 = r^2
(-3 - 2)^2 + (4 - 1)^2 = r^2
(-5)^2 + (3)^2 = r^2
25 + 9 = r^2
r^2 = 34
Therefore, the equation of the circle is (x - 2)^2 + (y - 1)^2 = 34.
Hi! The equation of a circle is given by (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius. In this case, the center is (2, 1). To find the radius, we'll use the distance formula with the given point (-3, 4):
r = √((-3 - 2)² + (4 - 1)²) = √(25 + 9) = √34
Now, we can plug the center coordinates and radius into the equation:
(x - 2)² + (y - 1)² = (√34)²
Simplifying the equation:
(x - 2)² + (y - 1)² = 34
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In a survey, respondents were asked their political leaning and whether they favored the legalization of marijuana. Of the 826 respondents who answered both questions, the results are listed in the table below.
Liberal Moderate Conservative
Legal 120 102 78
Not Legal 98 222 206
Do the following problems: Leave the original fraction as the answer for each problem. Do not reduce. Do not convert to decimals.
(a) What is the probability that a randomly selected respondent is a conservative?
(b) What is the probability that a randomly selected respondent is a liberal who favors legalization of marijuana?
(c) What is the probability that a randomly selected respondent is a conservative or favors legalization?
(d) What is the probability that a randomly selected respondent who favors legalization given that he/she is a liberal?
(e) What is the probability that a randomly selected respondent who is a moderate given that he/she does not favor legalization?
(f) Are political leaning and favors legalization of marijuana independent? MUST SHOW WORK.
Main answer: The majority of respondents who favored the legalization of marijuana identified as liberal or very liberal.
Supporting explanation: The table shows that out of the 486 respondents who favored the legalization of marijuana, 296 identified as liberal and 120 identified as very liberal. This means that 616 out of the 826 respondents who answered both questions identified as liberal or very liberal. On the other hand, only 60 respondents who favored the legalization of marijuana identified as conservative or very conservative. This suggests that there is a correlation between political leaning and views on the legalization of marijuana, with those on the left end of the political spectrum more likely to support it.
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The total surface area of a closed cylinder is 5000cm². Find the dimension of the radius that maximizes its volume and state the maximum volume.
The maximum volume of the cylinder is 27147.355 cm² at the maximum point.
What is volume of cylinder?
The density of a cylinder is determined by its volume, which represents how much material may be immersed in it or carried inside of it. The formula r2h, where r is the radius of the circular base and h is the height of the cylinder, determines the volume of a cylinder. The substance could be a liquid amount or something else that can be evenly put into the cylinder.
The formula for the volume of the cylinder v = \(\pi r^2\)h,
To find the maximum volume of the cylinder we apply the condition of maxima \(\frac{dv}{dr}\) = 0.
Let r cm be the radius and h cm be the height of the closed cylinder.
Then, Total surface area of the cylinder = \(2\pi r(r+h)\)
5000 = \(2\pi r^{2} +2\pi rh\)
h = \(\frac{5000-2\pi r^{2} }{2\pi rh}\)............(1)
Volume of the cylinder v = \(\pi r^2h\)
Substitute the value of h in the above equation
= \(\pi r^2\) × \(\frac{5000-2\pi r^{2} }{2\pi rh}\\\)
= \(\frac{r}{2}\) × \(5000-2\pi r^2\)
v = \(2500r-\pi x^{3}\) ..............(2)
Now, for the maximum volume of the cylinder dv/dr= 0
\(\frac{d(2500r-\pi x^{3})}{dr}\) =0
\(3\pi r^{2} =2500\)
\(r^{2} =\frac{2500}{3\pi }\)
r=\(\frac{50}{\sqrt{3\pi } }\)
r= 27147.355
Hence, The maximum volume of the cylinder is 27147.355 at the maximum point r= \(\frac{50}{\sqrt{3\pi } }\).
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hi please help me for a brainlist !!!!!!!
What is the slope equation for (7,5) and (2,-5)
Answer:
2
Step-by-step explanation:
To find the slope, m, you use the equation:
\(m \: = \frac{y2 - y1}{x2 - x1} \)
From our question, (x1 = 7, y1 = 5) ; ( x2 = 2, y2 = -5)
Substitute the values into the equation:
\(m \: = \frac{ - 5 - 5}{2 - 7} \\ = 2\)
The slope, m is therefore 2
What is the equation of the line that passes through the point (-4, 5) and has an
undefined slope?
keeping in mind that a line with an undefined slope is a vertical line, Check the picture below.
Not mathematics, but can someone help me, and tell me what grade I deserve?
Answer:
I am not sure how that works but from the way it look and adding it up it comes to 66.6 but I was thinking around 75 - 85
Step-by-step explanation:
Fred makes smoothie with guava juice and muskmelon pulp. She makes 32 fluid ounces of the smoothie, of which 18 fluid ounces account for guava juice. What percentage of the smoothie is guava juice?
The nearest Whole number, you can round 56.25% to 56%, 56% of the smoothie is guava juice
The percentage of the smoothie that is guava juice, we can use the following formula:
Percentage = (Part / Whole) * 100
In this case, the part refers to the amount of guava juice, which is 18 fluid ounces, and the whole refers to the total amount of the smoothie, which is 32 fluid ounces.
Let's substitute these values into the formula:
Percentage = (18 / 32) * 100
Simplifying the calculation:
Percentage = 0.5625 * 100
Percentage = 56.25
Therefore, 56.25% of the smoothie is guava juice.
Alternatively, if you prefer to round the percentage to the nearest whole number, you can round 56.25% to 56%.
Hence, approximately 56% of the smoothie is guava juice.
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3 (+ y) + 2x² + (1 + y)²
Answer:
2x2+y2+5y+1
Step-by-step explanation:
3y+2x2+(1+y)2
Distribute:
=3y+2x2+y2+2y+1
Combine Like Terms:
=3y+2x2+y2+2y+1
=(2x2)+(y2)+(3y+2y)+(1)
=2x2+y2+5y+1
A farmer is constructing a rectangular pen with one additional fence across its width. Find the maximum area that can be enclosed with 360 yards of fencing
The maximum area of the pen is the highest area the pen can have
The maximum area is 16200 square yards
Let the dimension be x and y.
So, the perimeter is given as:
\(\mathbf{P = 360}\)
Because it has one additional fence, the perimeter is calculated as:
\(\mathbf{2x + y = 360}\)
Make y the subject
\(\mathbf{y = 360 - 2x}\)
The area is calculated as:
\(\mathbf{A = xy}\)
Substitute \(\mathbf{y = 360 - 2x}\)
\(\mathbf{A = x(360 -2x)}\)
Expand
\(\mathbf{A = 360x -2x^2}\)
Differentiate
\(\mathbf{A' = 360 -4x}\)
Set to 0
\(\mathbf{360 -4x = 0}\)
Rewrite as:
\(\mathbf{4x = 360}\)
Divide both sides by 4
\(\mathbf{x = 90}\)
Substitute 90 for x in \(\mathbf{A = 360x -2x^2}\)
\(\mathbf{A = 360 \times 90 - 2 \times 90^2}\)
\(\mathbf{A = 16200}\)
Hence, the maximum area is 16200 square yards
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How do we classify the critical point if both eigenvalues are real and equal???
They may require more advanced techniques from dynamical systems theory to fully understand the behavior of the system.
What is the eigenvalues of a critical point of a linear system?If both eigenvalues of a critical point of a linear system of differential equations in two dimensions are real and equal, the critical point is a degenerate node.
The behavior of the solutions near a degenerate node depends on the higher-order terms in the Taylor series expansion of the vector field around the critical point. Specifically, the critical point is asymptotically stable if the higher-order terms in the Taylor series expansion satisfy certain conditions, and unstable otherwise.
If the higher-order terms in the Taylor series expansion satisfy the so-called "center manifold" conditions, then the critical point is a center, and the solutions near the critical point exhibit periodic behavior.
In general, the classification of a critical point with real and equal eigenvalues can be more complicated than the case where the eigenvalues have different signs, and may require more advanced techniques from dynamical systems theory to fully understand the behavior of the system.
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What is the distance between the points (-7,1)and (-7,-5)
The distance between the points (-7,1) and (-7,-5) is 6 units.
To find the distance between two points on a coordinate plane, we use the distance formula:
distance = √((x2 - x1)² + (y2 - y1)²)
In this case, the two points are (-7,1) and (-7,-5). Let's label them as (x1,y1) and (x2,y2), respectively:
x1 = -7
y1 = 1
x2 = -7
y2 = -5
Now we can substitute these values into the distance formula and simplify:
distance = √((-7 - (-7))² + (-5 - 1)²)
distance = √(0² + (-6)²)
distance = √(0 + 36)
distance = √36
distance = 6
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june drove 116 miles and 5.8 hours at this rate how far will she drive in 5 hours
Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
b) cylinder volume = π r^2 h = π*4*3= 12π = 37.68in^3
d) cone volume = .33π r^2 h = .33*π*225*50= 3750π cm^3
f) cuboid volume = l*b*h = 44*19= 836 in^3
e) hemisphere volume = 2/3 π*r^3 = 883.57ft^3
NEED HELP PLEASE
I can’t figure this question out. Hopefully you could help!
Answer:
see image
Step-by-step explanation:
If 21 people study French and everyone studies some language, then the other 4 people must be Spanish only students. 25 - 21 =4
Since 13 people study Spanish,
13-4=9
9 people must study both Fr and Sp.
If 9 people study BOTH, then
21-9=12,
12 people must be the Fr only people.
The arch-looking, upsidedownU is intersect.
Fr intersect Sp are the StudyBOTH people.
P(Both) = Both/Total
= 9/25
If you need %, divide 9÷25 and times by 100. That's 36%
F' means Not French people, which is Spanish only people (thankfully there are no No-Language-studiers bc they would count too)
P(F')
= P (not Fr)
= P (Sp Only)
= 4/25 = 16%
A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $22.50. Lin has $300 to spend on renting the hall for a fundraiser.
Solve an equation to determine the number of hours Lin can rent the community center. Round your answer to the nearest whole number.
Select the correct choice.
A.) 22.50 + 200 < 300
B.) 22.50 + 200 > 300
C.) 22.50h + 200 < 300
D.) 22.50 + 200 > 300
The equation that can be used to determine the number of hours Lin can rent the community center is 300 < 200 + 22.50h.
What is the equation?Here are the inequality signs and what they mean:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toTotal cost < fixed cost + (variable cost x number of hours)
300 < 200 + 22.50h
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What is the slope of (6,3) (3,-6)
Answer:
Step-by-step explanation:
(3-(-6)) / (6-3) = 9/3 = 3