The compound inequality \(0.1187 \leq d \leq 0.1190\) can be written as the absolute value inequality \(|d - 0.11885| \leq 0.00005\).
To write the compound inequality 0.1187 ≤ d ≤ 0.1190 as an absolute value inequality, we can express the range between the two values using absolute value notation.
First, let's find the midpoint between the two values:
\(Midpoint =\frac{ (0.1187 + 0.1190)}{2} = 0.11885\)
Now, we can rewrite the compound inequality as an absolute value inequality centered around the midpoint:
\(|d - 0.11885| \leq 0.00005\)
This absolute value inequality states that the distance between d and the midpoint 0.11885 is less than or equal to 0.00005. It ensures that d falls within the range of 0.1187 to 0.1190.
So, the compound inequality \(0.1187 \leq d \leq 0.1190\) can be written as the absolute value inequality \(|d - 0.11885| \leq 0.00005\).
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A box contains five cards lettered A, A, B, C, D. If one card is selected at random from the box and NOT replaced, what is the probability that Jack will draw a “D” and then an “A”?
Answer:
There is a 1/10 chance you draw an A and then D 10% chance
Step-by-step explanation:
Probablitiy of drawing a D is 1/5, If the card is not replaced, then there are only 4 cards left. Probability of drawing an A is 2/4 (1/2)
1/5 x 2/4
1 x 2 = 2 2/2 = 1
5 x 4= 20 20/2 = 10
The function y = f (x) is graphed below. What is the average rate of change of the function f(x) on the interval - 1 ≤ x ≤ 3?
For the function y = f (x), the average rate of change on the interval - 1 ≤ x ≤ 3 is -2.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
The graph of the function f(x) is graphed and the graph is given.
The average rate of change is a measure of how much the function changed per unit, on average, over that interval.
For a function f(x) at interval [a,b], the average rate of change is given as -
[f(b) - f(a)]/(b - a)
The interval values is given as - [-1,3]
The value for f(a) as seen in the graph is - 4.
The value for f(b) as seen in the graph is - -4.
Substitute the values in the equation -
Average rate of change = [f(b) - f(a)]/(b - a)
A = (-4 - 4)/[3 - (-1)]
A = -8/(3 + 1)
A = -8/4
A = -2
Therefore, the value for average rate of change is -2.
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Alejandra can husk 8 ears of corn in 24 minutes. At this rate, how many ears of corn can she husk in 33 minutes?
11
17
33
99
Answer: 11
Step-by-step explanation:
it takes 3 mins to do one husk so we divide 33 by 3 =11
I know I takes 3 mins for one because I divided 24 by 8.
Answer:
99
Step-by-step explanation:
cuz
Graph the following equations by plotting 3 points and then connecting the points to form a line. Show your work to find the 3 points and then list the ordered pairs you used as part of your answer.
Answer:
The way I would tackle these types of problems would be to make a table, then graph the points using the results I get.
Step-by-step explanation:
So explaining the table is kinda hard since I suck at explaining, so I've attached a file showing the table I've made for number 1.
First Step:
Make the table. Make it a 3x4 table. For the top row, put y, the equation (I put 'y=2x' as shown in number 1), then x. Then for the left column, go down by one box, then put: -1, 0, 1. Really, you can put any numbers, but to make it easy for yourself, just write the numbers I've listed. These will be your y-values you'll be substituting.
Second Step:
a.) Plugging in the numbers. For the middle column, I've put down y=2x in each box, as shown in my table. Then for each of those boxes, plug in the numbers to the left of them and substitute them for the y-value. For example, look at the second row. The left box has '-1', so I replaced the 'y' in the equation and got '(-1)=2x'.
b.) After substituting the y-values, solve for x. For this case, you'll need to divide both sides by 2. If it doesn't make much sense, think about a seesaw. If you have 5 pounds on both sides, the seesaw will stay balanced. Add an additional 5 pounds to one side, then the seesaw will start tipping towards the heavier sides. So in order to keep an equation balanced, you must do any action to both sides of the equation. After diving both sides by 2, you'll get the value for x.
Final Step:
After finding the x-values for each of the y-values, it's time to graph the equations. Remember, x is left to right and y is down to up. To graph them, let's use the second row for example. y=-1 and x=-0.5. So all you need to do is to start from the origin (0,0), then go half a unit to the left, as x is negative, then go a unit down, as y is negative, then make a point. The rest should be pretty straight forward.
After making all three points, just get a ruler or any straight edge, then align it along those three points, then just make a line, and boom! You've solved number 1! For the purpose of saving my time, I'm pretty sure you can solve the rest using what I've just told you. Good luck!
Given m||n, find the value of x.
t
>m
(8x-27)
(7x-4)
Answer:
x = 23
Step-by-step explanation:
(8x - 27) and (7x - 4) are corresponding angles and are congruent, so
8x - 27 = 7x - 4 ( subtract 7x from both sides )
x - 27 = - 4 ( add 27 to both sides )
x = 23
Answer:
x = 23
Step-by-step explanation:
Using the equation y=x²-2x-8 and the x-intercepts (-2,0), (4,0) answer the following:
(a) distance between the x-intercepts
(b) x-coordinate of the vertex
(c) y-coordinate of the vertex
The distance between the x-intercepts is 6 units
The x-coordinate of the vertex is 1The y-coordinate of the vertex -9The distance between the x-interceptsFrom the question, we have the following parameters that can be used in our computation:
Equation y = x² - 2x - 8
x-intercepts = (-2,0) and (4,0)
The distance between the x-intercepts is calculated as
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
So, we have
distance = √[(-2 - 4)² + (0 - 0)²]
Evaluate
distance = 6
The x-coordinate of the vertexHere, we have
y = x² - 2x - 8
Differentiate and set to 0
2x - 2 = 0
So, we have
x = 1
The y-coordinate of the vertexIn (b), we have
x = 1
So, we have
y = 1² - 2(1) - 8
Evaluate
y = -9
So, the y-coordinate is -9
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Andre wants to make a scaled copy of jada drawing so the side that corresponds to 4 units in jada polygon is 8 units of his scaled copy Andre says i wonder if i should add 4 units to lengths of all of the segments what would you say in response to Andre explain or show your reasoning
Answer:
No she should add extra lengths
Step-by-step explanation:
The difference between scaled copy and jada drawing is that it is in the ratio
8:4
2:1
that is the scaled copy is twice as large as the jada drawing itself.
So every dimension is doubled or made twice as large as the initial measurement. Andre should not add 4 units to all sides instead the drawing is made twice as large . It will serve the same purpose of enlarging the drawing while maintaining its shape. If extra mesurements are added the drawing will be changed.
Please Help me - You will get 60 points for the rapid reply- Use isosceles trapezoid ABCD to determine the following measurements-
Answer:
1) AD = 9 in
2) DE = 9.25 in
3) ∠EDC = 36°
4) ∠AEB = 108°
5) 11.5 in
Step-by-step explanation:
1) AD = BC = 9in
2) AC = BD (diagonals are equal)
⇒ BD = 14.25
⇒ BE + DE = 14.25
⇒ 5 + DE = 14.25
DE = 9.25
3) Since AB ║CD,
∠ABE = ∠EDC = 36°
4) ∠ABE = ∠BAE = 36°
Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)
⇒ 36 + 36 + ∠AEB = 180
∠AEB = 108
5) midsegment = (AB + CD)/2
= (8 + 15)/2
11.5
A pet store has three fish tanks, each holding a different volume of water and a different number of fish.
Tank A holds 40 L and 5 fish. Tank B holds 100 L and 12 fish. Tank C holds 180 L and 23 fish.
Order the tanks by volume per fish from least to greatest.
B A C
Answer:
Step-by-step explanation:
Remark
The general formula is
Volume per fish = volume of water / number of fish
Givens
40 L and 5 fish
100 L and 12 fish
180 L and 23 fish
Solution
Tank A = 40 L / 5 fish = 8 L / fish
Tank B = 100 L /12 fish = 8.3 L / fish
Tank C = 180 L / 23 fish = 7.83L / fish
Answer
From Least to greatest = C A B
Help please!! Math help!! asap please!!!
Answer:
4, 15/5 , 0.5, -1/5, -1.2 , -49
Step-by-step explanation:
4
15/5=3
0.5
-1/5=-0.2
-1.2
-49
what is the answer to 4×3^2-3+5×2
Answer:
43
Step-by-step explanation:
\(4 \times {3}^{2} - 3 +5 \times 2 \)
4 x 9 - 3 + 5 x 2
36 - 3 + 10
46 - 3
43
17x+12=54-4x=6(5x-4x)
Answer:
Step-by-step explanation:
390
p^2 x p^n = p^6. Find the value of n
Answer:
P^2×P^n=p^6
p^2+n=p^6
2+n=6
n=6-2
n=4
True coordinates of the vertices of triangle 1 are A(6,6),B(12,9),C(9,6).rotate triangle 1,90 degrees counterclockwise
True coordinates of the vertices of triangle 1 are A(6,6),B(12,9),C(9,6).rotate triangle 1,90 degrees counterclockwise
we have that
the rule of rotate triangle 90 degrees counterclockwise is equal to
(x,y) -------> (-y,x)
so
A(6,6) -------> A'(-6,6)
B(12,9) ----> B'(-9,12)
C(9,6) -----> C'(-6,9)
see the attached figure to better understand the problem
(give me a minute to draw the figure)
Problem N 2
we have
it is translating tree units to the right and 5 units down
the rule is
(x,y) ------> (x+3,y-5)
so
A(6,6) ------->A'(6+3,6-5)
A'(9,1)
B(12,9) ---->B'(12+3,9-5)
B'(15,4)
C(9,6) ----->C'(9+3,6-5)
C'(12,1)
hãy nêu định lý pytago
The text of the Pythagorean Theorem The Pythagorean Theorem states: “The sum of the squares of the lengths of the two sides of the right triangle, which are the shortest sides in a right-angled triangle, is equal to the square of the length of the hypotenuse, which is the longest side of the triangle.”
And in symbols: Pythagorean theorem = ( A² + B² = C²)
where ;
● A, B: the two sides of a right triangle ABC.
● C: The hypotenuse of a right triangle is ABC, which is the longest side.
It should be noted that the inverse of the theory is also true; Since the triangle to which the Pythagorean theorem applies, namely: A² + B² = C², is necessarily a right-angled triangle.
In Vietnamese ( Bằng tiếng việt) ;Nội dung của Định lý Pitago Định lý Pitago phát biểu: “Tổng bình phương độ dài hai cạnh của tam giác vuông, là cạnh ngắn nhất của tam giác vuông, bằng bình phương độ dài của cạnh huyền, là cạnh dài nhất của tam giác. "
Và trong các ký hiệu: Định lý Pitago = (A² + B² = C²)
ở đâu ;
● A, B: hai cạnh của tam giác vuông ABC.
● C: Cạnh huyền của tam giác vuông ABC là cạnh dài nhất.
Cần lưu ý rằng điều ngược lại của lý thuyết cũng đúng; Vì tam giác áp dụng định lý Pitago, cụ thể là: A² + B² = C², nhất thiết phải là tam giác vuông.
I hope I helped you^_^
Classify the real number. (Choose all that apply)
1.25
Integer
Natural
Whole
Rational
Irrational
help pls i need help asap 15 points
Answer:
I mean they still gave you the area, but you have to subtract them, 72-9 since 9 is not part of this shape anymore, which is 63 ft^2
Step-by-step explanation:
A group of friends wants to go to the amusement park. They have $135. 50 to spend on parking and admission. Parking is $8. 50, and tickets cost $31. 75 per person, including tax. Write and solve an equation which can be used to determine xx, the number of people who can go to the amusement park
Answer:
they would have and 4 people can go
Step-by-step explanation:
Please help mathematics
Answer:
Point B.
Step-by-step explanation:
The highest peak is at B.
Answer:
Step-by-step explanation:
Reading the graph, the answer should be B. There is nothing else that is any higher. If you owned stock and its chart looked like the one you were given, you'd be very grateful to sell at B, especially if you bought it at A.
You should note that if you bought it at G and sold it at H, what's almost a life changing piece of luck. You do that very few times in your lifetime.
Solve #22 and #23. I would crop better if i could
Triangle in (22) have value of side z = 4, and angles x = 53°, y = 37°. The triangle in (23) have the value of it sides x = 35, z = 83, and an angle y = 65°. Using trigonometric ratios to the nearest whole numbers.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
(22). by Pythagoras rule;
z = √(5² - 3²) = 4
sin x = 4/5
x = sin⁻¹(4/5) {cross multiplication}
x = 53.1301
y = 180 - (53 + 90) {sum of interior angles of a triangle}
y = 37°
(23). cos 25 = 75/z {adjacent/hypotenuse}
z = 75/cos 25 {cross multiplication}
z = 82.7533
sin 25 = x/82.7533
x = 82.7533 × sin 25 {cross multiplication}
x = 34.9731
y = 180 - (25 + 90)
y = 65°
Therefore, the triangle in (22) have value of side z = 4, and angles x = 53°, y = 37°. The triangle in (23) have the value of it sides x = 35, z = 83, and an angle y = 65°. Using trigonometric ratios to the nearest whole numbers.
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At the pool, Janae jumps off a diving board that is 15 feet high. Janaes height above the water is modeled by the function f(x)=-5x^2+10x+15. 1.Janae made a perfect dive and entered the water hands first. After she surfaced and got out of the water, Janae wanted to know when she hit the water. HOW CAN JANAE FIND OUT WHEN SHE FIRST HUT WATER(how long was she in the air)?2. How long was Janae in the air before she finished her dive and splashed into the water? There are several ways to determine this answer but you must explain all steps on how u found the solution.
Question 1 : Janae can find out when she first hit the water by finding out the distance of travel, as well as her speed of travel
Question 2 :
Given that her height above the water can be modeled using the function below:
\(f(x)=-5x^2\text{ + 10x + 15}\)We can obtain her vertical distance of travel from the diving board to the point where she starts to descend
At the turning point,
\(\frac{df(x)}{dx}\text{ = 0}\)\(\begin{gathered} \frac{df(x)}{dx}\text{ = 10x + 10 = 0} \\ x\text{ = -1} \\ \text{substituting back into f(x)} \\ f(-1)=5(-1)^2\text{ + 10(-1) + 15} \\ =\text{ 5 - 10 + 15} \\ =\text{ 10} \end{gathered}\)Hence, Jane travelled a distance of 10 units upwards and (10 + 15)unit downwards
At the turning point, her velocity is zero, using the relation below we can find her initial velocity and then the time it took
\(\begin{gathered} v^2=u^2\text{ - 2gS} \\ 0=u^2\text{ - 2 }\times\text{ 10 }\times10 \\ u\text{ = 14.14 m/s} \\ v\text{ = u - gt } \\ 0\text{ = 14.14 - 10 }\times\text{ t} \\ t\text{ = 1.414s } \end{gathered}\)From the turning point, her velocity changes from 0
Pick the correct answer, and justify it briefly. a) The Kolmogorov complexity of an incompressible string of length n is at least i. logn - c ii. n-c iii. 2n - c
The correct answer is iii. 2n - c, where c is a constant.Kolmogorov complexity refers to the measure of the shortest possible description of a string in terms of computational resources required to generate it.
An incompressible string is a string that does not have any patterns or regularities that can be exploited to generate a shorter description.
For an incompressible string of length n, the Kolmogorov complexity is expected to be close to the length of the string itself. In other words, the shortest possible description of an incompressible string of length n would be of similar length to the string itself.
The option iii. 2n - c represents a bound where the constant c accounts for the details of the specific computation model used for measuring Kolmogorov complexity. It is a conservative estimate of the Kolmogorov complexity of an incompressible string, as it allows for some additional constant overhead in the description length beyond the length of the string itself.
Options i. logn - c and ii. n - c are not accurate estimations for the Kolmogorov complexity of incompressible strings. The logarithmic term in option i. is not suitable for incompressible strings because it suggests that the complexity decreases as the string length increases, which is not the case. Option ii. suggests that the complexity is simply the length of the string minus a constant, which does not account for the inherent complexity of the string itself.
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Explain briefly the six main criteria that can be used to define normality and abnormality, by illustrating them with one psychological "abnormality" (other than homosexuality).
What may be the values and limitations of using the medical model and classification systems (which are originated from diagnosing and treating physical illnesses) to the understanding and treating of psychological disorders?
The six criteria are:
1. Abnormality as statistical infrequency (Involves comparison with other people)
2. Abnormality as personal distress (Involves consequences of the behavior for self)
3. Abnormality as others’ distress (Involves the consequences of the behavior for others)
4. Abnormality as unexpected behavior (Involves another kind of comparison with others’ behavior)
5. Abnormality as highly consistent/inconsistent behavior (Involving making comparisons between both the actor and others, and between the actor and him/herself in different situations)
6. Abnormality as maladaptiveness or disability (Concerns about the (disabling) consequences for the actor)
The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.
1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.
2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.
For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.
3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.
For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.
4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.
For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.
5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.
For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.
6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.
The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.
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What are all values of k for which the graph y = x^3 - 3x^2 + k will have three distinct x - intercepts?
Values of k for which the graph y = x³ - 3x² + k will have three distinct x - intercepts are given by 0 < k < 4.
Given the function of the graph is,
y = x³ - 3x² + k, where k is constant.
Differentiating the function with respect to 'x' we get,
y' = 3x² - 6x
y'' = 6x - 6
Now, y' = 0 gives
3x² - 6x = 0
x² - 2x = 0
x(x - 2) = 0
x = 0, 2
Now, for x = 0, y''(0) = -6 < 0, so at this point the function has maximum value.
and for x = 2, y''(2) = 12 - 6 = 6 > 0, so at this point the function has minimum value.
So, max y = y(0) = k > 0
min y = y(2) = 8 - 12 + k = k - 4 < 0
So, k < 4
Hence the values are, 0 < k < 4.
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I’m kinda slow can someone help
Answer:
60
Step-by-step explanation:
You're not slow.
So given was the formula for perimeter
12x + 1/2 - 4x - 8.5 + 2x + 8
They want you to find perimeter is x = 6, so this is a matter of plug and play. so everywhere you see an x, you'll replace it with the number 6
And we will start simplifying what we can
P = 12(6) + 1/2 - 4(6) - 8.5 + 2(6) + 8
P = 72 + 0.5 - 24 - 8.5 + 12 + 8
P = 72 - 24 - 8 + 12 + 8
P = 72 - 12
P = 60
Tommy has 15 marbles in his pocket. He has 3 green, 4 white, 6 black, and 2 blue marbles. If he randomly puts his hand in his pocket and
grabs a marble, what is the probability that he will pick a black marble?
Answer:
0.4
Step-by-step explanation:
The formula to calculate number of black marbles isnumber of favourable items by number of favourable items i.e for black marbles it will become
P(B)=number of black marbles divide by total number of marbles
P(B)=6/15
P(B)=0.4 OR 40%
Therefore the probability that Tommy will pick black marble is 0.4 or 40%
i need help on this problem
Find the missing values in the ratio table. Then write the equivalent ratios.
Forks 16, 8, 0 (Not sure about 0)
Spoons 10, 20, 30
Equivalent ratios are 16 : 10, 8 : 20, and 0 : 30
I am not sure about 0, but I'm 75% certain this is correct.
Hope this helped! :^)
How many solutions does the following equation have?
23y+50+27y=50y+50
Express the confidence interval 0.039
A. 0.259+0.22The confidence interval is 0.039. This means that the value lies between the range of -0.039 and 0.039. Therefore, we can express the confidence interval as the mean plus or minus the margin of error.
This will give us a range in which the true population mean lies.Let's assume that the mean is 0.259. Then the lower limit of the range is given by:Lower limit = 0.259 - 0.039 = 0.22 And the upper limit of the range is given by:Upper limit = 0.259 + 0.039 = 0.298Therefore, the confidence interval is: 0.22 to 0.298Now we can see that option A is the correct answer: 0.259+0.22.
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Make me laugh for 15 points. Use comments and answers
Answer:
umm...im not funny tho.......
Step-by-step explanation: