Answer:
You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:
First, remember how the absolute value works:
IxI = x if x ≥ 0
IxI = -x if x ≤ 0
Then if we have something like:
IxI < B
We can rewrite this as
-B < x < B
Now let's answer the question, here we have the inequality:
I-k -2I < 18
Then we can rewrite this as:
-18 < (-k - 2) < 18
Now let's isolate k:
first, we can add 2 in the 3 parts of the inequality:
-18 + 2 < -k - 2 + 2 < 18 + 2
-16 < -k < 20
Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:
-1*-16 > -1*-k > -1*20
16 > k > -20
Then k can be any value between these two limits.
So the correct options (from the given ones) are:
k = -16
k = -8
k = 0
Answer:
C, D, E
Step-by-step explanation:
Edge 2021
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
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Order from least to greatest = 9.7 x 103 = 8.2 x 10-7 = 1.2 x 103 = 3.4 x 106 = 5.8 x 10
Step-by-step explanation:
there's no such that in mathematics
125 × 37 help meeee pleaseeeeee
Answer:
Step-by-step explanation:
125x37=4625
hello I have a question for you whats is the best estimate for √74
Answer: 8.6
Step-by-step explanation:
The square root of 74 cannot be simplified, but its decimal form is 8.6.
What is the radius and diameter of the following circle?
Answer:
Radius=9
Diameter=18
Step-by-step explanation:
A conveyor belt at a recycling center is 294 feet long. The belt moves 7 feet in 6 seconds. A sorter calculates that it
takes 343 seconds for an object to travel the length of the belt. He places his plastic water bottle at the start of the belt so he can tie
his shoe. He walks to the end of the belt before 343 seconds pass. His bottle is already in the shredder. How many seconds does it
take the water bottle to travel the length of the belt? What is the sorter's error?
The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.
What lengths are examples of?When anything is referred to as being "long," it refers to its overall length. In other words, it is the larger of the third or upper two dimensions of a geometric object. An example of a shape with two dimensions is a rectangle.
To find out how many seconds it takes for the water bottle to travel the length of the belt, we can use the equation:
distance = rate x time
We know the distance (294 feet) and the rate (7 feet per 6 seconds). Let's solve for time:
294 feet = (7 feet/6 seconds) x time
294 feet x 6 seconds = 7 feet x time
1764 seconds = 7 feet x time
time = 1764 seconds / 7 feet
time = 252 seconds
So it takes 252 seconds for the water bottle to travel the length of the belt.
Now let's calculate the sorter's error:
343 seconds - 252 seconds = 91 seconds
The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.
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Al resolver la siguiente adición de fracciones 2/3 + 1/2 + 1/8 , se obtiene
Answer
31/24
Step-by-step explanation:
16/24 + 12/24 + 3/24 = 31/24
Oliver did the high jump three times. His scores were 7.016 feet, 5.42 feet, and 8.308 feet. How many feet did he jump in total? pleas help im in test
The total height of the three jumps is A = 20.744 feet
Given data ,
1st high jump score: 7.016 feet
2nd high jump score: 5.42 feet
3rd high jump score: 8.308 feet
On adding the scores , we get
7.016 + 5.42 + 8.308 = 20.744 feet
On simplifying the equation , we get
A = 20.744 feet
Hence , Oliver jumped a total of 20.744 feet in the three high jumps
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What is the equation of the trend line in the scatter plot?
10
9
8
7
6
5
4
2
0
1 2 3 4 5 6 7 8 9 10
Use the two yellow points to write the equation in slope-intercept form. Write any coefficients
as integers, proper fractions, or improper fractions in simplest form.
Video
The equation in slope-intercept form y = x - 1
What is linear regression?In general, to find the equation of a trend line in a scatter plot, you can use linear regression. Linear regression is a statistical method that finds the line of best fit through a set of data points. The equation of the trend line can then be written in the slope-intercept form, y = mx + b, where "m" is the slope of the line and "b" is the y-intercept.
The yellοw pοints are lοcated at the pοints (1, 0) and (8, 7)
Fοr a linear equatiοn that pases trοugh the pοints (x1, y1) and (x2, y2), the slοpe is:
s = (y₂ - y₁)/(x₂ - x₁)
Then, fοr οur equatiοn, the slοpe is
s = (7-0)/(8-1) = 1
Then οur linear equatiοn is
y = 1 × x + b
where b is the y-axis intercept.
Tο find b, we can use that when x = 1, y = 0
0 = 1 × 1 + b
b = -1
Then οur equatiοn is y = x - 1
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Complete question:
What is the equation of the trend line in the scatter plot?
Use the two yellow points to write the equation in slope-intercept form. Write any coefficients as integers, proper fractions, or improper fractions in simplest form.
76890 million in standard form
Answer:
76890000000 to 7.689 ×10^10
Step-by-step explanation:
Evaluate the expression: −(8 − 12) + 60 + (−4)2.
Answer: 80
Step-by-step explanation:
⇒ −(8 − 12) + 60 + (−4)²
⇒ -(-4) + 60 + 16
⇒ 4 + 60 + 16
⇒ 80
If 5 C - 2 = 3c , then 24 c =
06
O 8
O 16
0 24
Answer:
24
Step-by-step explanation:
5C - 2 = 3C-> 5C - 3C = 2-> 2C = 2 12(2C) = 12(2) (Multiply both sides by 12)-> 24C = 244. Tori bought 300 shares of Mattel stock for $34.87 dollars per share. She sold all of the shares months later for $41 dollars per share. How much was her capital gain(+) or loss(-)?
The result is positive, Tori made a capital gain of $1,839 from the sale of the Mattel stock.
What is selling price ?
The selling price is the amount of money at which a product or service is sold to the customer. It is the price that the customer pays to purchase the product or service from the seller. The selling price is usually determined by considering various factors such as the cost of production, overhead expenses, marketing expenses, and the desired profit margin. The seller may also take into account the competition in the market and adjust the selling price accordingly.
According to given information :To calculate Tori's capital gain or loss, we need to find the difference between the amount she sold the shares for and the amount she bought them for.
Tori bought 300 shares of Mattel stock for $34.87 per share, so her initial investment was:
300 x $34.87 = $10,461
She later sold all of the shares for $41 per share, so she received:
300 x $41 = $12,300
To find her capital gain or loss, we subtract her initial investment from the amount she received from the sale:
$12,300 - $10,461 = $1,839
Since, the result is positive, Tori made a capital gain of $1,839 from the sale of the Mattel stock.
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2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
A line has a slope of 7 and passes through the point (-2,-1) What is its equation in point-slope form?
Answer:
y + 1 = 7(x + 2).
Step-by-step explanation:
Point slope form:
y - y1 =m(x - x1).
Here m = 7 and (x1, y1) = (-2, -1)
So the answer is;
y - (-1) = 7(x - (-2))
HELPLPLPPPLPLPLPLPLPLPLPLPLPLPLPLP
Answer:
Mayor will lose a large percentage
Step-by-step explanation:
Answer:
The mayor will lose by a large perecentage
Step-by-step explanation:
PLEASE HELP FAST !!!!!!!!
Identify the equation that represents a quadratic relationship
Answer:
Step-by-step explanation:
Quadratic means squared equation so
the first one is your answer.
y= 4x²
Which of the following is a solution to this inequality?
y<2/3x+2
(0, 3)
(−3, 1)
(3, 5)
(1, 2)
Answer:
(d) (1, 2)
Step-by-step explanation:
You want to know which of the given points satisfies the inequality.
GraphWe find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)
__
Additional comment
Another way to choose the answer is to try each of the points in the inequality.
If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).
You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.
Find the area and the circumference of a circle with diameter 7 cm.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
cm
Area:
7 cm
Circumference:
Х
Answer:
area = 38.465^2 cm
circumference = 21.98 cm
Step-by-step explanation:
area =
divide the diameter by itself and multiply radius by itself and multiply by 3.14
7/2 = 3.5 | (3.5)^2 = 12.25 | (12.25) (31.4) = 38.465^2 cm
circumference =
multiply the diameter by 3.14
(7) (3.14) | 21.98
^2 (squared)
For his birthday, Zack and three of his friends went to a movie. They each got a ticket for $8.00 and the same snack from the concession stand. If Zack’s mom paid $48 for the group’s tickets and snacks, how much did each snack cost? The equation 4( s +8) = 48 represents the situation when s represents the cost, in dollars, of one snack.
Answer:
Which number is IRRATIONAL? A) √12 B) √36 C) √64 D) √144
Step-by-step explanation:
is the perpendicular bisector of . What is the length of ?
A.
4
B.
6
C.
12
D.
7
Answer:
the answer is C. 12
Step-by-step explanation:
Select the correct answer. Ms. Waller gave a survey to the customers at her flower shop asking about their favorite bouquet. Of all the customers that took the survey, 45% preferred rose bouquets, 35% preferred daffodil bouquets, and 20% preferred iris bouquets. Which model would be fair and appropriate for representing the survey data? A. A graph shows the X-axis t, in increments of 40, and the Y-axis p, in increments of 0.2. A curved line is drawn at the point (0, 200), curved at (0.15, 60), and ends at the point (1, 0) B. The diagram shows a pie chart divided into three parts. Rose contributes 35 percent, Daffodil contributes 45 percent, and Iris contributes 20 percent. There is an arrow mark on the Daffodil C. The diagram shows a pie chart divided into three parts. Rose contributes 45 percent, Daffodil contributes 20 percent, and Iris contributes 15 percent. There is an arrow mark in Rose. D. The diagram shows a pie chart divided into three parts. Rose contributes 45 percent, Daffodil contributes 35 percent, and Iris contributes 20 percent. There is an arrow mark in Rose. Reset Next © 2023 Edmentum. All rights reserved.
The correct answer is D. The diagram shows a pie chart divided into three parts. Rose contributes 45 per cent, Daffodil contributes 35 per cent, and Iris contributes 20 per cent.
Survey data refers to information collected from a group of individuals or organizations through a standardized set of questions, in order to gain insights into their preferences, opinions, behaviors, or experiences.
There is an arrow mark in Rose. This model represents the survey data accurately, with each bouquet type represented as a portion of the whole, and the percentage values labelled. The arrow mark indicates the most popular choice, which in this case is the rose bouquet with 45% of the customers preferring it.
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Please help me with this I don't understand it Find the value of x (5w+20) 3w 4x (3a+2b)
The value of x is 30°
How to find the value of x?
Angle geometry is a branch of mathematics that deals with the study of angles and their properties in two-dimensional figures such as circles, triangles, and polygons.
(5w+20)° + 3w° = 180° (sum of angles on a straight line is 180° )
5w +20 + 3w = 180
8w + 20 = 180
8w = 180 - 20
8w = 160
w = 160/8
w = 20°
3w° + 4x° = 180° (sum of angles on a straight line is 180° )
3w + 4x = 180
Put w = 20 and solve for x:
3(20) + 4x = 180
60 + 4x = 180
4x = 180 - 60
4x = 120
x = 120/4
x = 30°
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1 question highschool math Find the value of each variable. Express in simplest radical form. attached
Answer:
I didn't mean to click give answer, sorry
For surfboard repairs, Luke charges a flat fee of $31.29 plus $16.80 per hour. How much would Luke charge for a job that took 8.5 hours to complete? Enter your answer in the box.
I WILL GIVE BRAINLY PLS HELP
Answer: $174.09
Step-by-step explanation:
$16.80 times 8.5 hours equals 142.8 plus $31.29 equals $174.09
Luke charged 174.09 dollars for a job that took 8.5 hours to complete.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Multiplication is the operation that is used to determine the product of two or more numbers.
Given that Luke charges a flat fee of $31.29 additional $16.80 per hour.
Therefore, we will multiply the charge by 8.5 hours to complete,
$16.80 x 8.5 hours = 142.8
In addition of charge $16.80 per hour;
$16.80 + $31.29 = $174.09
Hence, Luke charged 174.09 dollars for a job that took 8.5 hours to complete.
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The table shows three unique functions.
x f(x) g(x) h(x)
-2
4
6
-3
-1
1
2
1
4-
2
1
1
55 752
6
8
1
Hit
6:
Mark this and return
-25
Which statements can be used to compare the
characteristics of the functions? Select two options.
Of(x) has an all negative domain.
g(x) has the greatest maximum value.
All three functions share the same range.
Oh(x) has a range of all negative numbers.
All three functions share the same domain.
Answer:
The statements that can be used to compare the characteristics of the functions are:
1. g(x) has the greatest maximum value.
2. All three functions share the same domain.
Explanation:
- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.
- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.
- We can see that g(x) has the highest maximum value among the three functions, which is 8.
- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.
- We cannot say anything about the domain or range of f(x) based on the given table.
- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.
The student council is ordering T-shirts from a website. The T-shirts cost $9 each and there is a shipping fee of $8 for any
amount ordered. The student council wants to spend exactly $710 on the T-shirts. How many T-shirts, x, they can order?
an
Answer: They can order 78 shirts.
Step-by-step explanation:
9x + 8 = 710
9x = 702
x = 78
**Since the shipping fee is $8 for ANY amount ordered, the price of shipping doesn’t change with the number of shirts — the shipping price is a constant.
Find the area of this parallelogram
Answer:
84
Step-by-step explanation:
The area of a parallelogram is base * height.
Base = 12
Height = 7
12 * 7 = 84
Answer:
Brainliest!
Step-by-step explanation:
12 x 7 = 84
that is how to find areas of parallelograms
what is the value of x^2 - 6x + 9 when x = 2 + i?
The Expression x^2 - 6x + 9 when x = 2 + i is -2i
To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:
(2 + i)^2 - 6(2 + i) + 9
Simplifying the first term, we get:
(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2
Since i^2 = -1, we can substitute that in and simplify further:
(2 + i)^2 = 4 + 4i - 1 = 3 + 4i
Now we substitute this into the original expression:
(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9
Simplifying further, we get:
= 3 + 4i - 12 - 6i + 9
= 0 - 2i
= -2i
Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.
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How many rabbits will
there be 6 days later?
If a rabbits population starts at 150 rabbits and decreases 5% per day.
Answer:
105 rabbits
Step-by-step explanation:
Multiple 5 percent by six days
5%x6=30%
150 rabbits --- 100%
x ----- 30%
100x=150x30
100x=4500 : 100
x=45
150-45=105
Answer:
880
Step-by-step explanation:
I've taken 5/105 divided and gotten 20.I have taken 20 * 6 which is the decrease so that you can get after six days how many rabbits were decreased and 150 * 6 that you can get how many rabbits are there in 6 days.then I took 900 - 120 i go 880 rabbits hope that helps.