NEED ANSWER/STEPS A.S.A.P
|x| > 5
Answers
Answer:
x < -5 or x > 5
(∞, -5) ∪ (5, ∞)
Step-by-step explanation:
The bars either side of an expression or a value are the absolute value symbol. The absolute value of a real number 'x' is the distance of 'x' from zero on the number line. It is denoted by |x| and is always a non-negative value.
The inequality |x| > 5 represents the absolute value of x being greater than 5.
To solve this inequality, we can consider two cases: when x is positive (x > 0) and when x is negative (x < 0).
Case 1: x > 0In this case, the inequality simplifies to x > 5.
Case 2: x < 0In this case, the inequality simplifies to -x > 5.
This can be rewritten as x < -5 by multiplying both sides by -1 (remembering to change the direction of the inequality sign since we are multiplying by a negative number).
SolutionCombining both cases, the solution to the inequality |x| > 5 is:
x < -5 or x > 5This means that x can be any number less than -5 or any number greater than 5.
The solution in interval notation is (∞, -5) ∪ (5, ∞).
Related Questions
amaya and bo each roll a fair, ordinary six-sided die with the numbers $1,2,3,4,5,6$ on the sides. what is the probability that amaya rolls a greater number than bo?
Answers
The probability that amaya rolls a greater number than bo is 5/12.
What is probability?
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.The proportion of favorable cases to all possible cases that can occur that indicates how likely an event is to occur.The number of rolls where Amaya's roll is greater than Bo's is
5 + 4 + 3 + 2 + 1 = 15
Number of amaya's is greater (A) = 15
Total number of possible outcomes (S) = 36
The probability that amaya rolls a greater number than bo = n(A)/ n(S)
P(A) = n(A) / n(S)
= 15 / 36
= 5 / 12
Hence, the probability that amaya rolls a greater number than bo is 5/12.
To know more about probability check the below link:
https://brainly.com/question/24756209
#SPJ4
a wheel has a radius of 12 cm approximently how far does it travel in 2 revolutions
Answers
step 2: find the circumference of the wheel (how far the wheel travels in ONE revolution)
step 3: multiply the circumference by how many revolutions
A painter can paint a building in 4 days and his apprentice can do it in 6 days. How long will it take them to paint this building if they work together on it except for 1 day when the painter is ill and the apprentice work alone.
Answers
It will take them 3 days to paint the building if they work together on it except for 1 day when the painter is ill and the apprentice works alone is the answer.
Given that a painter can paint a building in 4 days and his apprentice can do it in 6 days, the following steps can be taken to find out the time taken to paint the building when they work together on it except for 1 day when the painter is ill and the apprentice works alone.
Step 1: Let's find the painter's work efficiency.
The painter can paint a building in 4 days. It means, in 1 day, the painter can complete 1/4 of the work.(1/4) × (4 days) = 1 work done
Therefore, the painter can complete 1 work in 1 day.
Step 2: Let's find the apprentice's work efficiency.
The apprentice can paint a building in 6 days. It means, in 1 day, the apprentice can complete 1/6 of the work. (1/6) × (6 days) = 1 work done
Therefore, the apprentice can complete 1 work in 1 day.
Step 3: Let's find out their combined work efficiency.
In 1 day, the painter can complete 1 work and the apprentice can complete 1 work.
So, in 1 day, their combined work efficiency = 1 + 1 = 2 works done.
Step 4: Let's find out the time taken to complete the work if they work together on it except for 1 day when the painter is ill and the apprentice works alone. If they work together for x days (except for 1 day when the painter is ill and the apprentice works alone), then, the following equation can be formed: Painter's work done in x days + Apprentice's work done in x days = Total work to be done.
Painter's work done in x days = (1/4) × (x - 1) = (x - 1)/4.
Apprentice's work done in x days = (1/6) × x = x/6.
Total work to be done = 1.
So, the equation becomes:(x - 1)/4 + x/6 = 1.
⇒ 3(x - 1)/12 + 2x/12 = 1.
⇒ (3x - 3 + 2x)/12 = 1.
⇒ 5x - 3 = 12.
⇒ 5x = 15.
⇒ x = 3.
Therefore, it will take them 3 days to paint the building if they work together on it except for 1 day when the painter is ill and the apprentice works alone.
know more about work efficiency.
https://brainly.com/question/15380066
#SPJ11
SOMEONE PLS TELL ME IF IM RIGHT ILL MARK BRAINLIEST
Answers
Answer:
u r correct
look at the picture I sent
Answer:
Its actually 5 you were about 4 away
5/14= h/16. WHAT IS H?
Answers
Answer:
40/7 = h
Step-by-step explanation:
Answer:
x = \(5\frac{5}{7}\)
Step-by-step explanation:
The equation of the line that goes through the point .............................................................
Answers
Answers:
m = 3/4b = -3/4Note: 3/4 = 0.75
====================================================
Explanation:
The first thing we need to do is solve that given equation for y
4x+3y = 3
3y = 3-4x
3y = -4x+3
y = (-4x+3)/3
y = (-4x)/3 + 3/3
y = (-4/3)x + 1
This last equation is in slope intercept form, y = mx+b, where,
m = -4/3 = slopeb = 1 = y interceptThese m and b values are not the final answer unfortunately, as we have yet to determine anything about the perpendicular line. However, it helps us build toward the answer.
We'll focus on the slope.
Apply the negative reciprocal to -4/3 to get 3/4. We flip the fraction and the sign from negative to positive.
This means the perpendicular slope is 3/4 and this value goes in the first box.
-----------------------------
From here, we'll use the fact that the perpendicular line goes through the point (x,y) = (5,3)
i.e. we have x = 5 and y = 3 pair up together.
Use that perpendicular slope we found earlier to say,
y = mx+b
3 = (3/4)*5 + b
3 = 15/4 + b
3 - 15/4 = b
12/4 - 15/4 = b
(12-15)/4 = b
-3/4 = b
b = -3/4 is the y intercept of the perpendicular line
Answer:
y = 3/4 x -3
Step-by-step explanation:
4 x + 3y = 3
3y = -4x + 3
y = -4/3x + 1
~~~~~~~~~~~~~~~~~~~~~~~
y = 3/4 x + b
3 = 3/4(5) + b
12 = 15 + b
B = -3
isabel is buying 6 anglefish, and she wants her total cost to be no more than 2$ above or below 36$. what inequalty models the cost in Dollers of an angle fish
Answers
Answer:
c<2$
c>36$
Step-by-step explanation:
._.
HELP ME PLZ
Which ordered pairs represent points on the graph of this equation? Select all that apply.
3x + y = 0
Answers
Answer:
(-1,3)
Step-by-step explanation:
Thus;
When (-1,3) is placed in the relation 3x + y =0,the answer will be zero.
CalculationsLet;
x= -1
y= 3
3(-1) + 3 =0
-3 + 3 = 0
(1,-3) ,(-2,6)(2,-6),(-1,3) are ordered pairs represent points on the graph of this equation 3x+y=0.
What is an equation of a line?An equation of the line is defined as the linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line is y = mx + c, where m is the slope and c is the intercept cut by the y.
To calculate the ordered pair by satisfying the equation with each pair of points.
3x+y=0
For (1,-3)
3(1)-3=0 Yes
For (-2,6)
3(-2)+6=0 Yes
For (2,-6)
3(2)-6=0 Yes
For (-1,3)
3(-1)+3=0 Yes
For (6, -1)
3(6)-1=11 No
For (-6,1)
3(-6)+1=-11 No
Hence (1,-3) ,(-2,6)(2,-6),(-1,3) are ordered pairs represent points on the graph of this equation 3x+y=0.
To learn more on Equations click:
brainly.com/question/18831322
#SPJ2
pls hurry; 10 pts The first equation in the following system gives a company's income, in dollars, for selling x baseball caps. The second equation gives the cost of making x baseball caps. y = 8x y = -0.01 x2 + 4x + 3,200 The solution of the system is (400, 3,200). How would you interpret this solution?
Answers
Answer: The cost to make 400 baseball caps is $3,200
Step-by-step explanation:
The answer they gave you is a set of coords, x and y coords to be exact. That means that x value is inputed into the equation and that y value is the asnwer.
You put in 400, you get 3200.
They also gave us that x equals the number of baseball caps. Then y equals the cost of making those baseball caps
Answer:
The cost to produce 400 caps is the same as the income made from selling 400 caps.
The company will break even when it sells 400 caps; it will not make a profit.
Step-by-step explanation:
EDGE 2021
Somebody please help
Answers
Answer:
A.
Step-by-step explanation:
The volume is LWH
L = 16
W = 9
H = 12
16 * 9 * 12 = 1728
Every year the Lee family has a big family dinner, and everyone brings a mug to exchange. The mugs are put on wooden hangers on the wall, and each wooden hanger can hold 12 mugs. Last year the family had 15 mugs to hang up. This year the Lee family filled three wooden hangers. How many more mugs were brought to the Lee family dinner this year compared to the previous year? *
Answers
Answer:
21 more mugs were brought this year than last year.
Step-by-step explanation:
We can solve by subtracting the initial amount of mugs from the final amount of mugs.
To find the amount of mugs hung up this year, we will use the equation: m = 12w where m = the number of mugs & w = the number of wooden hangers. The 12 represents the amount of mugs per wooden hanger.
We can plug in 3 for w since 3 wooden hangers were filled up and we would get 12(3) = m = 36 mugs
Now we subtract last year's total mugs hung up from this year's total mugs hung up.
We end up with 36 - 15 = 21
(a) at what x value does f(x) reach a maximum for a normal distribution n(75, 6)?
Answers
The maximum value that f(x) reach for a normal distribution n(75, 6) is 75.
Normal Distribution is defined as the probability distribution that is symmetric about the mean.
For a normal distribution the mean , median and mode all are same.
Normal distribution is denoted by N(mean, variance).
According to the given question
The normal distribution is given as N(75,6).
which means mean = 75 , and variance = 6.
and for a normal distribution the mean is the maximum ,
so the given mean "75" will be the maximum, the maximum of the graph of normal distribution will be at x=75.
Therefore , The maximum value f(x) reach for a normal distribution n(75, 6) is 75.
Learn more about Normal Distribution here https://brainly.com/question/28068721
#SPJ4
There are 6,000 hotel rooms in Sean's city. During a convention, 4,200 of the hotel rooms were occupied. What percentage of the hotel rooms in the city were occupied during the convention?
Answers
Answer:
70% of the hotel rooms were occupied during the Convention
Step-by-step explanation:
4200 / 6000
= 0.7
0.7 = 70%
What expressions has a value equal to 28 divided by 4
Answers
Answer:
28/4=28/7
Step-by-step explanation:
when you divide 28 by 4 you get seven so if you use 7 instead of 4 to divide it's an equal value.
Sorry if it's incorrect, there wasn't a whole lot to go by! Good luck tho! :D
An expression that has a value equal to 28 divided by 4, is 7.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
A phrase: A value equal to 28 divided by 4.
That means,
An expression has a value equal to 28 divided by 4,
28/4,
= 7
Therefore, 7 is the required expression.
To learn more about the expression;
brainly.com/question/24242989
#SPJ5
(9,−7) after a dilation by a scale factor of 4 centered at the origin?
Answers
The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:
Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).
In conclusion, the coordinates of the image after a dilation are (36, -28).
Read more on dilation here: brainly.com/question/20482938
#SPJ1
sufficient and necessary? 1 point possible (graded) suppose that we have some loss function that may or may not have multiple critical points. we have found a critical point such that f''(w)>0 , so that we know that it is a minimum. what can we say about it being a global minimum?
Answers
In order to determine whether a critical point of a loss function is a global minimum, it is necessary to consider the second derivative of the function.
If the second derivative is positive at the critical point, then we can say with certainty that the critical point is a local minimum. However, this does not necessarily mean that it is a function function. This is because there may be other local minima at points which the second derivative is negative, and in this case, the critical point must be compared to these points to determine if it is indeed the global minimum.
In order to assess whether a local minimum is a global minimum, we must first identify any other local minima. This can be done by locating the points at which the first derivative of the function is equal to zero and then evaluating the second derivative of the function at these points. If the second derivative is negative at any of the points, then we have identified a local minimum. Then, we can compare the value of the loss function at the points function as local minima to the value of the loss function at the critical point. If the value of the loss function at the critical point is lower than the value of the loss function at the other local minima, then the critical point is the global minimum. If the values are equal, then the critical point is a global minimum if and only if it is the only local minimum.Overall, identifying whether a critical point of a loss function is a global minimum requires both sufficiency and necessity. It is necessary to evaluate the second derivative of the function at the critical point in order to determine whether it is a local minimum, and it is also necessary to identify any other local minima and compare the value of the loss function at the critical point to the value of the function at the other local minima in order to determine whether the critical point is the global minimum.
Learn more about function here:
https://brainly.com/question/28278699
#SPJ4
If
degrees, then find x.
Answers
Answer:
What?
Step-by-step explanation:
Find the unknown side:
V
u
2.5
85
26
Answers
Answer:
u ≈ 5.7
Step-by-step explanation:
Using the Sine rule in Δ TUV, that is
\(\frac{t}{sinT}\) = \(\frac{u}{sinU}\) , substitute values
\(\frac{2.5}{sin26}\) = \(\frac{u}{sin85}\) ( cross- multiply )
u × sin26° = 2.5 × sin85° ( divide both sides by sin26° )
u = \(\frac{2.5sin85}{sin26}\) ≈ 5.7 ( to 1 dec. place )
PLEASE HELP 30+POINTS
HELPPPPPP
Answers
Answer:
8 and 5 goals
Step-by-step explanation:
Ali scored 5 more goals than Hani, so that means the 13 goals (scored with both of them playing) minus the 5 goals that Ali scored equals 8 goals scored by Ali and 5 scored by Hani
a
EFGH is a rhombus. Given EG = 22 and FH = 20, what is the length of one side of the rhombus?
Please help :/
Answers
Applying the properties of a rhombus and the Pythagorean Theorem, the length of one side of the rhombus is: 14.9
Recall:
The diagonals of a rhombus bisect each other at right angles, thereby forming 4 right triangles.Half of a diagonal and half of the other diagonal make up a right triangle.Thus, given:
EG = 22 (diagonal)FH = 20 (diagonal).Find the length of one side using Pythagorean theorem as shown below:
\(HG = \sqrt{(\frac{1}{2}EG)^2 + (\frac{1}{2}FH)^2 } \\\\\)
Substitute\(HG = \sqrt{(\frac{1}{2} \times 22)^2 + (\frac{1}{2} \times 20)^2 } \\\\HG = \sqrt{11^2 + 10^2} \\\\\mathbf{HG = 14.9}\)
Therefore, applying the properties of a rhombus and the Pythagorean Theorem, the length of one side of the rhombus is: 14.9
Learn more here:
https://brainly.com/question/24618146
two fair dice, each with at least 6 faces are rolled. on each face of each dice is printed a distinct integer from 1 to the number of faces on that die, inclusive. the probability of rolling a sum of 7 is 3 4 of the probability of rolling a sum of 10, and the probability of rolling a sum of 12 is 1 12 . what is the least possible number of faces on the two dice combined?
Answers
Using the Counting the faces of two dice,
the atleast 17 number of faces are possible on the combination of two dice.
First, we have to count the favorable cases,
We know both dice have atleast 6 faces.
It gives 6 favorable cases for a sum of 7.
If we can count them if mean even if dice had more than 6 faces, will matter of for sum of 7.
Now, the mean, we need 6× 4/3=8 (favorable cases for the sum of 10)
If we count 3 favorable cases for each having 6 faces.
For more than 9 faces on a dice matter give the denominator (sample space) are the same for both sum of 7 and the sum of 10, and the probability of one is in proportion to the other.
It mean, additional 5 cases must be ( 7,2), (2,7), (8,2), (2,8) ,(9,1)
So , one of the dice has 8 faces and the other has atleast 9 faces.
Now, we must have atleast 17 combined faces of two dice for probability . So, we get if 12 with configration of 8 faces on one dice.
To learn more about Counting faces of combined dice, refer:
https://brainly.com/question/1302068
#SPJ4
Find the constant of proportionality (r) in the equation y=rx
Answers
Answer:
0.1
Step-by-step explanation:
r = y/x
r = 1.4 / 14 = 0.1
A researcher studying microorganisms has discovered a strain of bacteria that doubles every 2.8 days. How many bacteria will the researcher have after 7.3 days if they started with 650 bacteria?
Answers
Answer:
3960.4 bacteria
Step-by-step explanation:
The formula to solve the above question is given as:
P(t) = Po (2) ^t/k
P(t) = Population after time t = ?
Po = Initial population = 650 bacteria
t = Time in days = 7.3 days
k = doubling time = 2.8 days
P(t) = 650 × (2)^7.3/2.8
P(t) = 650 × 2^2.6071428571
P(t) = 650 × 6.0929582599
P(t) = 3960.4228689 bacteria.
Approximately = 3960.4 bacteria
Therefore, the number of bacteria the researcher will have after 7.3 days if they started with 650 bacteria is 3960.4 bacteria.
What is the product of 2x3 +9 and x3 +7?
Answers
The product of the expression is 2x⁶ + 23x³ + 63
How to determine the productFirst, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.
These algebraic expressions are also made up of mathematical operations, such as;
BracketAdditionMultiplicationDivisionParenthesesSubtractionFrom the information given, we have that;
2x3 +9 and x3 +7?
Then,
(2x³ + 9)(x³ + 7)
expand the bracket
2x⁶ + 14x³ + 9x³ + 63
add like terms
2x⁶ + 23x³ + 63
Learn about algebraic expressions at: https://brainly.com/question/4344214
#SPJ1
I need help this is so confusing
Answers
so point C would be on Quadrant I
T on Quadrant II, H on Quadrant III and R is not really on a quadrant, the coordinate is on the X axis.
Which expression is equivalent to 0. 00007?
A 7 x 10-5
B) 7 10
7 x 10"
D7% 10%
Answers
Answer:
none of them equals 0.00007
unless a is 7 times 10 to the minus 5 power then the answer is a
Step-by-step explanation:
a=65 for 7 times 10 minus 5 unless the equation is 7 times 10 to the -5 power then the answer is a
b=70 for 7 times 10
c=700000000000 for 7 times 10 to the 11th power
d=0.007 for 7 percent times 10 percent
Fred ha ahorrado 8 cuartos lavando autos, ¿cuántos centavos tiene Fred?
Answers
Fred has a total of 150 cents with him as savings.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Fred has saved 8 quarters by washing cars.
Assume that he has {x} number of cents. Now -
1 quarter = 25 cents
Then, we can write -
{x} = 8 x 25
{x} = 150
Therefore, Fred has a total of 150 cents with him as savings.
To solve more questions on equation modelling, visit the link below-
https://brainly.com/question/2037734
#SPJ1
{Question in english -
Fred has saved 8 quarters by washing cars, how many cents does Fred have?}
If a flexible air-filled container has a volume of 100 liter on the surface, what would the volume be at 20 meter in sea water? (rounded off)
A - 33 liter
B - 25 liter
C - 20 liter
D - 50 liter
Answers
The flexible air-filled container has volume of -33 liter (A) at 20 meter in sea water.
At the surface, the pressure is 1 atm (atmosphere). As we go deeper into the sea, the pressure increases by 1 atm for every 10 meters. Therefore, at 20 meters, the pressure is 3 atm (1 atm at the surface + 2 atm for the 20 meters).
The relationship between pressure and volume is described by Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at a constant temperature. This means that as the pressure increases, the volume decreases, and vice versa.
Using Boyle's Law, we can calculate the volume at 20 meters:
P1V1 = P2V2
Where P1 is the initial pressure, V1 is the initial volume, P2 is the final pressure, and V2 is the final volume.
Plugging in the values:
(1 atm)(100 liter) = (3 atm)(V2)
Solving for V2:
V2 = (1 atm)(100 liter) / (3 atm)
V2 = 33.33 liter
Rounding off to the nearest whole number, the volume at 20 meters is 33 liter.
Therefore, the correct answer is A - 33 liter.
Learn more about Boyle's Law here: brainly.com/question/30367133
#SPJ11
Doug bought a new car for $25,000. He estimates his car will depreciate, or lose value, at a rate of 20% per year. The value of his car is modeled by the equation V=P(1-r)^t, where V is the value of the car, P is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. According to the model, what will be the approximate value of his car after 4 1/2 years
Answers
According to the equation model V=P(1-r)^t, the approximate value of Doug's car after 4¹/₂ years is $9,200.
What is the equation?The equation is a mathematical statement or model that shows that two mathematical expressions are equal.
In this situation, the mathematical expressions equal to each other are V, the car's depreciated value, and P(1-r)^t, which combines variables.
Cost of the new car = $25,000
Depreciation rate per annum = 20%
Value of the car = V
The price paid initially = P = $25,000
The annual rate of depreciation = r
Depreciation period = 4¹/₂ years
Equation model: V=P(1-r)^t
Depreciated value after 4 1/2 years, V = $25,000 (1 - 0.2)^4¹/₂
= $9,158.93
= $9,200
Thus, using the equation model, after 4¹/₂ years, the value of Doug's car has depreciated to $9,200.
Learn more about equations at https://brainly.com/question/22688504
#SPJ1
Solve the equation.
–9x + 1 = –x + 17
x = –8
x = –2
x = 2
x = 8
Answers
-9x + 1= -x + 17
- 9x + x= 17 - 1
-8x = 16
- x = 16÷8
x = -2
Answer:
-9x + 1= -x + 17
- 9x + x= 17 - 1
-8x = 16
- x = 16÷8
x = -2