For the number line shown, which statement is not true?
A number line shows a to the left of 0 and b to the right of 0. Point a is closer to 0 than point b.
|a| > b
–|b| a
|a| < |b|
Answer:
1a8?
Step-by-step explanation:
thi is how
The incorrect statement for the given condition is;
⇒ |a| > b
What is Number line?
Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
A number line shows 'a' to the left of 0 and 'b' to the right of 0. Point a is closer to 0 than point b.
Now,
Since, Point a is closer to 0 than point b.
And, Number 'a' to the left of 0 and 'b' to the right of 0.
Hence,
Let the number 'a' = - 1
Then, The number 'b' = 2
So, We get;
|a| = |-1| = 1
And, |b| = 2
Clearly, |a| < b
Thus, The incorrect statement for the given condition is;
⇒ |a| > b
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Q.3. A pressure vessel is to be fabricated from steel plate which may be either (i) Maraging (18% Ni) steel with oy = 1900 MN/m², Kic= 82 MNm-3/2 (ii) Medium strength steel with oy = 1000 MN/m², Kic= 50 MNm-3/2 Which of these two steels has a better tolerances to defects and compare their fracture toughness if they are to have same defect to tolerance, A factor of safety of 2 to be used as design stress.
Maraging (18% Ni) steel has a better tolerance to defects and fracture toughness compared to Medium strength steel.
How to determine the steel with better tolerance to defects and fracture toughnessThe tolerance to defects and fracture toughness of a material can be evaluated using its fracture toughness parameter, Kic. The higher the Kic value, the better the material's tolerance to defects and fracture toughness.
To compare the two materials, we can use the concept of critical stress intensity factor (Kic) and factor of safety (FoS). The critical stress intensity factor is the maximum value of stress intensity factor (K) that a material can withstand without fracturing. The factor of safety is the ratio of the maximum allowable stress to the design stress, and it is used to ensure a safety margin in the design.
Assuming that the two materials have the same defect to tolerance ratio, we can calculate the maximum allowable stress for each material using the following formula:
σmax = FoS * Kic / (π * a)
where σmax is the maximum allowable stress, FoS is the factor of safety (assumed to be 2), Kic is the fracture toughness parameter, and a is the size of the defect.
Let's assume a defect size of 1 mm for both materials. Using the values given in the question, we get:
For Maraging (18% Ni) steel:
σmax = 2 * 82 * 10^6 / (π * 1 * 10^-3) = 52.1 GPa
For Medium strength steel:
σmax = 2 * 50 * 10^6 / (π * 1 * 10^-3) = 31.8 GPa
Therefore, Maraging steel has a higher maximum allowable stress, which indicates that it has a better tolerance to defects compared to medium strength steel.
To compare the fracture toughness of the two materials, we can use their respective Kic values. The higher Kic value indicates a better tolerance to defects and fracture toughness.
Comparing the given values, we can see that Maraging (18% Ni) steel has a higher fracture toughness parameter (Kic= 82 MNm-3/2) compared to Medium strength steel (Kic= 50 MNm-3/2).
Therefore, Maraging (18% Ni) steel has a better tolerance to defects and fracture toughness compared to Medium strength steel.
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please solve thanks
Find the slope of identity function using points (0,0) and ( 3,3) then from two points (0,0) and (-3,-3). Is there any change in its slope?
There is no change in its slope as initial and final slope is 1.
What is slope?
In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.
Main body:
formula for slope with two points form is =
y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)
according to question ,
points are (0,0) and (3,3)
y - 0 = (3-0/3-0)(x -0)
y = 3/3 *x
y = x
hence slope of line is 1.
Now points are (0,0) and (-3,-3).
y - 0 = (-3-0/-3-0)(x -0)
y =- 3/-3 *x
y = x
hence slope of line is 1.
So there is no change in its slope.
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i hate math whats 5 + 5
Given f(x) = 3x^3 + kx + 1, and x – 1 is a factor of f(x), then
what is the value of k?
Step-by-step explanation:
Hope it helps man ...........
The value of k is -4.
Given that,
The equation is \(f(x) = 3x^3 + kx + 1\).And, x - 1 is the factor of f(x).Based on the above information, the calculation is as follows:
\(f(x) = 3x^3 + kx + 1\\\\= 3(1)^3 + k(1) + 1\\\\= 3 + k + 1 \\\\k = -4\)
Therefore, we can conclude that the value of k is -4.
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Construct the 99% confidence interval estimate of the mean wake time for a population with the treatment
m
(Round to one decimal place as needed)
ample Get more help-
HW Score: 39.53%, 17 of 43 points
O Points: 0 of 6
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 14 subjects had a mean wake time of 105 0 min After treatment, the 14 subjects had a
mean wake time of 782 min and a standard deviation of 24 1 min Assume that the 14 sample values appear to be from a normally distributed population and construct a 99% confidence interval estimate of the
mean wake time for a population with drug treatments What does the result suggest about the mean wake time of 105 0 min before the treatment? Does the drug appear to be effective?
The result suggests that the mean wake time might have really reduced since the values barely fall above 100 min as in before treatment with a high degree of confidence. thus , the drug is effective.
Confidence interval is written in the form as;
(Sample mean - margin of error, sample mean + margin of error)
The sample mean represent x , it is the point estimate for the population mean.
Margin of error = z × s/√n
Where s = sample standard deviation = 21.8
n = number of samples = 17
Now the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score
then the degree of freedom, df for the sample.
df = n - 1 = 17 - 1 = 16
Since confidence level = 99% = 0.99, α = 1 - CL = 1 – 0.99 = 0.01
α/2 = 0.01/2 = 0.005
Therefore the area to the right of z0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995
the t distribution table, z = 2.921
Margin of error = 2.921 × 21.8/√17
= 15.44
The confidence interval for the mean wake time for a population with drug treatments will be; 90.3 ± 15.44
The upper limit is 90.3 + 15.44 = 105.74 mins
The lower limit is 90.3 - 15.44 = 74.86 mins
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Jamie spent $12 dollars a day on food for 6 days. What was Jamie’s overall change in her bank account for food over the 6days?
Answer:
-72
Step-by-step explanation:
12 * 6 = 72
Jaime spent 72 dollars for the 12 days
It went down because the money was spent
-72
Does the line appear to be a line of
symmetry of the triangle? Explain.
Please and thank you
Answer:
No, the two sides are not congruent.
I flipped my whole laptop around to check loll
What is the 99th digit of pie?
The approximation of pi to 99 decimal places is 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679.
We have,
Determining the 99th digit of pi requires an understanding of the properties of pi and how it is calculated.
Pi is an irrational number, which means it has an infinite number of non-repeating decimal digits.
Since pi has an infinite number of digits, it is not possible to directly state the 99th digit without extensive computation.
However, various methods and algorithms have been developed to approximate the value of pi to a specific number of decimal places.
The 99th digit of pi has not been explicitly determined.
Thus,
The approximation of pi to 99 decimal places is 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679.
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How to get the range from a table of values
Answer:
the range is all the y values or output values.
Step-by-step explanation:
example
x y
1 2
2 4
3 6
4 8
range=(2,4,6,8)
Magic Realm, Inc., has developed a new fantasy board game. The company sold 15,000 games last year at a selling price of $20 per game. Fixed costs associated with the game total $182,000 per year, and variable costs are $6 per game. Production of the game is entrusted to a printing contractor. Variable costs consist mostly of payments to this contractor.
Required:
1) Prepare a contribution format income statement for the game last year and compute the degree of operating leverage.
2) Management is confident that the company can sell 18,000 games next year (an increase of 3,000 games, or 20%, over last year).
Compute:
a) The expected percentage increase in net operating income for next year.
b) The expected total dollar net operating income for next year.
The expected total dollar net operating Income for next year = $70,000
1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:
Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000
Variable expenses (15,000 × $6) = $90,000
Contribution margin = $210,000
Fixed expenses = $182,000Net operating income = $28,000
Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)
The expected percentage increase in net operating income for next year:
The expected sales in next year = 18,000
games selling price per game = $20
Therefore, Total sales revenue = 18,000 × $20 = $360,000
Variable expenses = 18,000 × $6 = $108,000
Fixed expenses = $182,000
Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses
= $360,000 – $108,000 – $182,000= $70,000
The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%
The expected total dollar net operating income for next year = $70,000
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Finding the area and perimeter
Answer:
Lion area: 60
Lion Perimeter: 34
Tiger Area: 60
Tiger perimeter: 64
Step-by-step explanation:
Find the trigonometric ratios (Hint: No Decimals).
Answer:
Kindly check explanation
Step-by-step explanation:
Using Pythagoras :
BA = hypotenus
BA = sqrt(2² + 3²)
BA = 3.6
SinA = opposite /hypotenus = 2 / 3.6
CosA = Adjacent / hypotenus = 3 / 3.6
Tan A = opposite / Adjacent = 2 /3
SinB = opposite /hypotenus = 3 / 3.6
CosB = Adjacent / hypotenus = 2 / 3.6
Tan B = opposite / Adjacent = 3 /2
Step-by-step explanation:
Here we have ,
> Hypontenuse ² = 2² + 3² = 4 + 9
> Hypontenuse = √13
> Hypontenuse = 3.6 .
Therefore ,
> SinA = perp /hypotenuse = 2 / 3.6
> CosA = b/h = 3 / 3.6
> Tan A = p / b = 2 /3
> SinB = 3 / 3.6
> CosB = 2 / 3.6
> Tan B = 3 /2
Research shows that 14.3% of persons 20–25 years old vote and 59.9% of persons 60–65 years old vote. What is the absolute increase from the younger group to the older group, to the nearest point?
76 points
319 points
-46 points
46 points
The absolute increase from the younger group to the older group is 59.9% - 14.3% = 45.6%. Rounding to the nearest point, the answer is 46 points.
The absolute increase is the difference between two values, regardless of the direction of change. In this case, we want to find the absolute increase in the percentage of people who vote from the younger group (20-25 years old) to the older group (60-65 years old).
To find the absolute increase, we subtract the percentage of people who vote in the younger group from the percentage of people who vote in the older group, taking the absolute value of the result.
So, the absolute increase in the percentage of people who vote from the younger group to the older group is:
|59.9% - 14.3%| = 45.6%
This means that the percentage of people who vote in the older group is 46 percentage points higher than the percentage of people who vote in the younger group.
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find the value of expression when b=9, c=5, d=1/2; expression is 1/2d + c^3 - b
Answer:
115 3/4
Step-by-step explanation:
\(\frac{1}{2} * \frac{1}{2}\) Because d=1/2. 1/2*1/2=1/4
C=5 so, C^3=5x5x5
C=125
Next, b=9
Then, you put everything together.
1/4+125-9=125 1/4-9
115 3/4
115 3/4+9 1/4
one unit of a is made of two units of b, three units of c, and two units of d. b is composed pf one unit of e and two units of f. c is made of two units of f and one unit of d. e is made of two units of d. items a, c, d, and f have one-week lead times; b and e have lead times of two weeks. lot-for-lot (l4l) lot sizing is used for items a, b, c, and d; lots of size 50 and 180 are used for items e and f, respectively. item c has on-hand (beginning) inventory of 15; d has an on-hand inventory of 50; all other items have zero beginning inventories. we are scheduled to receive 20 units of item e in week 2; there ae no other scheduled receipts. construct simple and low-level-coded bill-to-materials (product structure tree) and indented and summarized parts lists. if 20 units of a are required in week 8, use the low-level-coded bill-of-materials to find the necessary planned-order releases for all components.
Data handling is the process of ensuring that research data is stored, archived, or disposed of in a safe and secure manner during and after the conclusion of a research project.
The following are the given details:
Item Leadtime On hand Inventory Lot sizing criteria Schedulereceipts
A 2 0 L4L 10 in week 2
B 1 0 LAL 0
C 1 10 50 0
D 2 0 50 0
E 1 50 180 50 in week 1
F 1 180 L4L 50 in week 1
The Complete MRP schedule can be seen in the attached images below:
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The gross requirements for each component are as follows:
b = 2 x a = 44 units in week 7
c = 3 x a = 66 units in week 7
d = 2 x e + 1 x c + 2 x a
= 110 units in week 3, 56 units in week 6, 44 units in week 7
e = 1 x b = 44 units in week 5
f = 2 x b + 2 x c = 88 units in week 5 and 112 units in week 6
Net requirements = Gross requirements - Projected on hand
Projected on hand = Planned order receipts - net requirements
Planned order receipts = net requirements
Planned order releases = net requirements adjusted as per the lead time
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Order the values from least (on top) to greatest (on bottom).
64%
0.65
5/8
Convert them all into decimals. Percent is just 0.--, and the fraction you can calculate out which gives: 0.625=5/8,0.64=64%
5/8
64%
0.65
What’s the mean of 46,57,66,63,49,52,61,68
Answer:
Step-byHow do I calculate the mean?
The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value
-step explanation:
46+57+66+63+49+52+61+68= 462/8 the total number of observation
the answer 57
Find the next three numbers in the pattern: 2,0,6,−4,10,−8,
The next "three-umbers" in the pattern "2,0,6,-4,10,-8,..." are 14, -12, and 18.
To find the next three numbers in the pattern 2, 0, 6, -4, 10, -8, we need to analyze the pattern and identify the rule for it.
The pattern seems to be alternating between adding and subtracting the "odd-multiples" of 2.
The pattern is as follows : 2 - (2×1) = 0,
0 + (2×3) = 6,
6 - (2×5) = -4,
-4 + (2×7) = 10,
10 - (2×9) = -8,
Using this rule, we can find the next three numbers in the pattern as follows:
Add 22 because : -8 + (2×11) = 14,
Subtract 26 because : 14 - (2×13) = -12,
Add 30 , because : -12 + (2×15) = 18,
Therefore, the next three numbers in the pattern are 14, -12, and 18.
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En la promoción “La tómbola del descuento” de una tienda de autoservicio los clientes obtienen distintos descuentos por sus compras. Si Alma pagó $160.00 por un artículo cuyo precio original era de $200.00, ¿de cuánto fue el descuento que obtuvo en la tómbola?
Respuesta:
el descuento fue de 20%
Which graph represents y = RootIndex 3 StartRoot x + 6 EndRoot minus 3?
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = negative 3 and it crosses the x-axis at x = negative 1.
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = negative 3 and it crosses the x-axis at x = negative 5.
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = 6 and it crosses the x-axis at x = 7.
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = 6 and it crosses the x-axis at x = 5.
The graph is: On a coordinate plane, a cubic function has a point of inflection at x = 5 and crosses the x-axis at x = 5
A cubic function in mathematics is one with the formula f(x)=ax3+bx2+cx+d, where aneq 0 and the coefficients a, b, c, and d are complex numbers, and the variable x has real values. In other words, it is a real function as well as a polynomial function of degree three.
The function we have is:
y = ∛(x - 5)
So cubic root is given
Here we notice that when x = 0, we have:
y = ∛-5, this is the y-intercept
And when x = 5 we have:
y = ∛0 = 0 which is the x-intercept, and also the inflection point because here we have the change of sign.
Hence option which describes graph best is On a coordinate plane, a cubic function has a point of inflection at x = 5 and crosses the x-axis at x = 5
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Answer:A
Step-by-step explanation: Edge 2022
help please, i’m struggling on this
Answer:
help please, i’m struggling on this
A function is graphed on the set of axes below. State the domain and the range of this function
(assume a scale of 1 on each axis).
If the graph's lowest point is at y = 2 and its highest point is at y = 8, the range would be [2, 8].
To determine the domain and range of a function graphed on a set of axes, we need to identify the set of possible input values (domain) and the set of possible output values (range).
Looking at the graph, we can see that the function starts at the point (-3,1) and ends at the point (4,5). Therefore, the domain is the set of all x-values between -3 and 4, inclusive:
Domain: {-3 ≤ x ≤ 4}
Similarly, the range is the set of all y-values between 1 and 5, inclusive:
Range: {1 ≤ y ≤ 5}
The domain of a function is the set of all possible input values (x-values) for which the function is defined, while the range is the set of all possible output values (y-values) that the function can produce.
To find the domain and range from a graph, observe the x-axis (horizontal) for the domain and the y-axis (vertical) for the range.
Identify the minimum and maximum values for each axis where the graph exists.
For example, if the graph extends from x = -3 to x = 5, the domain would be [-3, 5].
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Lily loves 2.5 miles farther from school than Dante Dante lives 16.25 miles from school how many miles from school does Lily live
Answer:
18.75
Step-by-step explanation:
Just add 2.5 and 16.25 :)
Answer:
Lily must live 18.75 miles away
Step-by-step explanation:
If Lily lives 2.5 miles further from school than Dante then the equation is
16.25+2.5 = x
Add them together and you get 18.75
Is RS a translation of DF? Select Yes or No for each statement.
R(2, 2), S(5,2) and D (3, 3), F(5,3) Nov
R(-1,3), S (2,-2) and D(-4, 2), F(-1,-3) Yes v
R(5,-1), S (2, 2) and D(1,-4), F(-1, -3) Yes v
Answer:
d it is d becuc de hen yd de la rosa que lo hace
Answer:
Its no yes no
Step-by-step explanation:
Copy the axes below onto your paper. Add an appropriate scale and then place and label a point on the graph for each of the
products listed below.
Hotdogs
a. Dog-Eat-Dog has a supreme hotdog that weighs 80 grams and has 40 grams of fat MOT DOGS
b. Hot Doggies has a diet hotdog that weighs 50 grams and has only 9 grams of fat.
100
Fat (8)
50
c. Dog-alicious has a cheap hotdog that weighs 40 grams and has 30 grams of fat.
0
SO 100
Weight (8)
3
6(3x+4)+2(2x+2)+2=22x+31 solve the equation for the given variable
The equation 6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31 has no solution for the variable x.
What is the solutuon to the given equation?Given the equation in the question:
6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31
To solve the equation 6(3x + 4) + 2(2x + 2) + 2 = 22x + 31 for the variable x, we will simplify and solve for x.
Apply distributive property:
6 × 3x + 6 × 4 + 2 × 2x + 2 × 2 + 2 = 22x + 31
18x + 24 + 4x + 4 + 2 = 22x + 31
Collect and combine like terms on both sides:
22x + 30 = 22x + 31
Next, we want to isolate the variable x on one side.
22x - 22x + 30 = 22x - 22x + 31
30 = 31
However, we notice that the x terms cancel out when subtracted:
30 ≠ 31
This means that there is no solution.
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How much HCl (hydrochloric acid) is in a 90-milliliter bottle that is marked 60% HCl?
Answer:
it 54 ml.............
Which sequence of transformations proves that shape I is similar to shape II?
The sequence of transformations that proves that the shapes are similar is given as follows:
B. a reflection across the x-axis, and then a dilation by a scale factor of 1.5
How to obtain the transformations?First, we have that the orientation of the figure, hence it was reflected.
The figure was reflected from the second quadrant to the third quadrant, hence the figure was reflected over the x-axis.
The base segment changes from a length of 2 units to a 3 units, hence the scale factor of the dilation is given as follows:
3/2 = 1.5.
Hence option B is the correct option for this problem.
Missing InformationThe missing parts of the problem are given by the image presented at the end of the answer.
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