Answer: 3(x+4)<-12 and x+4<4
Step-by-step explanation:
3|x+4| - 5 < 7
The two inequalities which is used to find the solution to this absolute value inequality 3 |x + 4| - 5 < 7 are;
⇒ x - 4 < 4
And, x - 4 > - 4
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ 3 |x - 4| - 5 < 7
Now,
Since, The inequality is,
⇒ 3 |x - 4| - 5 < 7
Solve as;
⇒ 3 |x - 4| - 5 + 5 < 7 + 5
⇒ 3 |x - 4| < 12
⇒ |x - 4| < 4
This gives two solution as;
⇒ x - 4 < 4
And, x - 4 > - 4
Thus, The two solutions are;
⇒ x - 4 < 4
And, x - 4 > - 4
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Does anyone know if I did this right?? Please help me
Answer:
you did this right
Step-by-step explanation:
A manufacturer of a hot tub is interested in testing two different heating elements for his product. The element that produces the maximum heat gain after 15 minutes would be preferable. He obtains 10 samples of each heating unit and tests each one. The heat gain after 15 minutes (in degree F) follows. Is there any reason to suspect that one unit is superior to the other? Use alpha = 0.05 and the Wilcoxon rank-sum test. Use the normal approximation for the Wilcoxon rank-sum test. Assume that a = 0.05. What is the approximate p-value for this test statistic?
There is a reason to suspect that one unit is superior to the other.
The approximate p-value for this test statistic is 2P(Z > |z|) = 2P(Z > 5.82) ≈ 0
How to use Wilcoxon rank-sum testTo compare the two heating elements,
use the Wilcoxon rank-sum test to determine if there is a significant difference between the two groups of data based on their ranks.
Given that;
The heat gain data for the two heating elements are
Heating Element one: 4, 8, 9, 10, 12, 13, 15, 16, 17, 20
Heating Element two: 5, 6, 7, 8, 9, 11, 12, 14, 15, 18
Combine the data and rank them from smallest to largest, we have
4, 5, 6, 7, 8, 8, 9, 9, 10, 11, 12, 12, 13, 14, 15, 15, 16, 17, 18, 20
The rank sum for Heating Element 1 is
R(1) = 1 + 5 + 6 + 7 + 9 + 10 + 12 + 13 + 15 + 19 = 97
For Heating Element 2 is:
R(2) = 2 + 3 + 4 + 5 + 6 + 11 + 12 + 16 + 17 + 20 = 96
The test statistic for the Wilcoxon rank-sum test is
W = minimum of R(1) and R(2) = 96
The distribution of the test statistic W is approximately normal with mean μ_W = n1n2/2 and standard deviation σ_W = √(n1n2(n1+n2+1)/12), where n1 and n2 are the sample sizes.
In this case, n1 = n2 = 10,
so μ_W = 50 and σ_W ≈ 7.91.
Therefore, the standardized test statistic z is
z = (W - μ_W) / σ_W = (96 - 50) / 7.91
≈ 5.82
The two-tailed p-value for this test statistic is approximately 2P(Z > |z|) = 2P(Z > 5.82) ≈ 0, where Z is a standard normal random variable.
The p-value is less than the significance level of α = 0.05, hence, we reject the null hypothesis and conclude that there is reason to suspect that one unit is superior to the other.
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ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.
Answer:
When two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°
Step-by-step explanation:
Based on the Inscribed Angles Theorem, the measure of an intercepted arc is twice the measure of the inscribed angle that intercepts it in a circle.
Consequently, the theorem also Holds that the measure of two inscribed angles intercepting the same arc, are congruent. In other words, both angles together are the same, and their sum would give you the measure of the arc they both intercept.
In the diagram shown in the attachment below, we have 2 inscribed angles, angle A and B. They both intercept the same arc of 75°.
Therefore, we can conclude that the measure of both angles equal 75°, which is the same as the measure of the arc they intercept.
Angle A = Angle B
m<A + m<B = measure of intercepted arc = 75°
Thank you all for helping so far, mind if I ask again, haha
Answer:
10 < 18 + 7
10 < 25
True yyes
cuz it is above 10
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
For a point to satisfy an inequality, when it is pluged in, the inequality must be true. So, first, plug in 3 for x and 10 for y. After plugging in the points the inequality is 10< 6(3)+7, then simplify the inequality. This equals 10<25, which is a true statement. Therefore the answer is yes.
Find the circumference
A. 47.1
B. 22 in
C. 10.5 in
D. 35 in
Answer:
C ≈ 47.12389
Step-by-step explanation:
C = 2πr
r = 15/2
r = 7.5
C = 2π7.5
Five times the greater of two consecutive even
integers is 14 greater than three times the lesser
number. What is the greater number?
in considering whether to produce a single product, the associated direct materials and direct labor costs would probably a. irrelevant qualitative factors b. relevant qualitative factors c. relevant quantitative factors d. irrelevant quantitative factors
Option c, relevant quantitative factors, is the correct answer.
Direct materials and direct labor costs are factors that directly affect the production of a single product. They are important in determining the cost of producing the product and, therefore, are relevant quantitative factors that need to be considered when making a decision about whether to produce a product.
Qualitative factors, on the other hand, are non-monetary considerations such as market demand, competition, technological advancements, and environmental concerns, which may also impact the decision to produce a product, but are not directly related to the cost of production.
Therefore, in considering whether to produce a single product, both qualitative and quantitative factors need to be taken into account. However, direct materials and direct labor costs are relevant quantitative factors that are important in making an informed decision about the profitability of the product.
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PLEASE HELP 10 POINTS
Sally works in a cell phone store. She is paid a weekly salary of $80 plus $5.25 for each cell phone she sells. Which equation can be used to find Sally's total weekly income?
A. y=85.25x
B. y=85.25x+ 80
C. y= 5.25x+80
D. y=80x+5.25
T/F. In a certain board game, a player rolls two fair six-sided dice until the player rolls doubles (where the value on each die is the same). The probability of rolling doubles with one roll of two fair six-sided dice is 16.
As per the concept of probability that it takes three rolls until the player rolls doubles is 0.11574 and this can be determined by using the given data.
In math the term probability of an event is defined as nothing but a number between 0 and 1 where zero shows the impossibility and one shows the certainty.
Here we have given that a certain board game, here the player rolls two fair six-sided dice until the player rolls doubles.
And here we know that the probability of rolling doubles with one roll of two fair six-sided dice is 1/6.
Here first we need to determine the probability of rolls to obtain doubles in each roll.
That can be calculated as ,
=> 1 - 1/6 = 5/6
Then the fails in the second roll is calculated as,
=> 1 - 1/6 = 5/6
Then the third roll the player rolls doubles that is calculated as,
=> 1/6
So, the probability of requiring 3 rolls until getting doubles will be calculated as
=> 5/6 x 5/6 x 1/6
=> 25/216
When we simplify this one then we get,
=> 0.115
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If sin0 = 7/25 find csc0? hurry pls
Answer:
according to the rules of math and echo the answer is csgo globaloffense with the ration 12.10
Step-by-step explanation:
WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!
Answer:
C both line and point symmetry
Step-by-step explanation:
payments of $1400 each year for 8 years at 6ompounded annually
If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.
To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.
To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:
FV = P * ((1 + r)^n - 1) / r
where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).
Plugging in the values, we have:
FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06
≈ $12,350
Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.
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Please help me respond this question
The correct options are -
g(x) increases at a faster rate over the interval [1,2].f(x) increases at a faster rate over the interval [0,1]Explain the term rate of increase for function?The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of increase is calculated by dividing the amount of growth in one item by the equal number of changes in another.The main concept behind rates of growth is how one variable changes as the other grows. Making tables will make this simple to see.For the stated function.
The graph for the function g(x) is given in the question.
As the slope of function g(x) is most steep for the interval [1,2].
Thus, g(x) increases at a faster rate over the interval [1,2].
The graph for the function f(x) is attached,
f(x) = 3x+ 2
From the graph, it is shown that the slope of the function g(x) is most steep for the interval [0,1].
Thus, f(x) increases at a faster rate over the interval [0,1].
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Evaluate:
7 - 3 + 10
Answer:
14
Step-by-step explanation:
7-3 = 4 4+10=14 therfore 14 would be the answer hope this helps
A banner is made of a square and a semicircle. The square has side lengths of 24 inches. One side of the square is also the diameter of the semicircle. What is the total area of the banner? Use 3.14 for π.
The total area of the banner is _____ in ^2
Answer: 576π in²
Step-by-step explanation:
The total area of the banner is 576π in². This is because the area of the square is 576 in², and the area of the semicircle is half the area of a circle with a diameter of 24 inches, which is 144π in². Adding these together gives us 576π in².
Answer:
(((((((((673'97))))))))))))
Step-by-step explanation:
........
Jay said that 6 billion people could stretch around Earth at the equator
more than 200 times. Show why his claim makes sense. (The distance around
the equator is about 40 000 km.)
If people stood very close together, they could probably rotate the earth about 6 times. Standing approximately 10 or 15 feet away, definitely, 9 times.
how many days could a 60kg deer survive without food at -20 degrees - has 5kg of fat
18 days
The survival time of a 60kg deer without food at -20 degrees Celsius depends on various factors, including its age, sex, and physical condition. However, assuming the deer is healthy and has 5kg of fat, it could potentially survive for around 30 to 50 days without food.
The exact survival time can vary depending on several factors, such as the deer's level of physical activity, environmental conditions, and how much energy it is expending to stay warm in the cold temperature. Additionally, if the deer is able to find sources of water, this can also increase its chances of survival.
It's important to note that this is just an estimate and that the actual survival time may vary. If the deer is injured or sick, its chances of survival may be reduced, and it may not be able to survive as long without food.
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Complete Question
How many days could a 60kg deer survive without food at -20 degrees Celsius if it has 5kg of fat?
how to find the x component of this vector
12.1 meters 48.4 degrees
The magnitude of the x-component of this vector is 9.05m.
The angle of inclination of the vector is calculated as;
θ = 90 ⁰ - 48.4 ⁰
θ = 41.6 ⁰
The magnitude of the x-component of the vector is calculated as;
Vx = 12.1 m x cos ( 41.6 )
Vx = 9.05 m
A vector can be represented by an ordered set of numbers, called components, that indicate the magnitude and direction of the vector in a particular coordinate system. The components of a vector can be added or subtracted using vector addition and subtraction, and multiplied by a scalar (a real number) using scalar multiplication.
Vectors can be visualized as arrows in a two- or three-dimensional space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. Vectors can also be represented as matrices, which can be used to perform various operations on vectors, such as dot product and cross product.
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Complete Question:-
Which parachute has a slower decent: a orange parachute that falls at 12 feet in 5 seconds or a green parachute that falls at 14 feet in 7 seconds? *
Answer:
Green parachute
Explanation:
Orange parachute
• Distance = 12 feet
,• Time = 5 seconds
Rate of descent = 12/5 =2.4 feet/seconds
Green parachute
• Distance = 14 feet
,• Time = 7 seconds
Rate of descent = 14/7 =2 feet/seconds
Since 2 is less than 2.4, the green parachute has a slower descent.
Suppose that y varies inversely as the square of x, and that y=10 when x=9. What is y when x=17? Round your answer to two decimal places if necessary.
The value of y when x = 17 is 2.80 .
Given,
y varies inversely as the square of x
we know that
If y varies inversely as the square of x
then
the equation is equal to
yx² = k
where
k is the constant of proportionality
step 1
Find the constant k
For y=10, x=9
substitute the given values
10 * 9² = k
k = 810
Thus,
we have the equation,
yx² = 810
step 2
Find the value of y when the value of x=17
substitute in the equation
y * 17² = 810
y = 2.80
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Which of the following BEST describes how to use the addition property of equality to isolate the variable y
below?
y-12 = 14
A. add 12 to the left side of the equation only
B. subtract 12 from the left side of the equation only
C. add 12 to both sides of the equation
D. subtract 12 from both sides of the equation
Please select the best answer from the choices provided
Ο Α
ОВ
С
Answer: C) add 12 to both sides
Reason:
We add 12 to the left side to undo the -12, which will get y by itself.
We must do the same thing to both sides to keep things balanced.
PLEASE HELPP ill give brainliest!!
The shape of a logo is made up of a triangle, a rectangle, and a parallelogram.
What is its area in square centimeters? Round your answer to the nearest tenth (1 decimal place).
The value of area of logo is,
A = 139.5 cm²
We have to given that;
The shape of a logo is made up of a triangle, a rectangle, and a parallelogram.
Here, Base of triangle = 9 cm
Height of triangle = 7 cm
Length of rectangle = 9 cm
Width of rectangle = 9 cm
Hence, We get;
The value of area of logo is,
A = (1/2 × 9 × 7) + (3 × 9) + (9 × 9)
A = 31.5 + 27 + 81
A = 139.5 cm²
Thus, The value of area of logo is,
A = 139.5 cm²
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A wallet containing 5 five-dollar bills, 7 ten-dollar bills, and 8 twenty-dollar bills is found and returned to its owner. The wallet's owner will reward the finder with 1 bill drawn randomly from the wallet. What is the probability that the bill drawn will be a twenty-dollar bill?
Answer:
8/21 chance or 38.1%
Step-by-step explanation:
5 + 7 + 8 = 21
If the owner will take oneout of random theres an 8/21 chance he will pick out a 20 dollar bill.
use the pythagorean Theorem to find the missing length of the hypotenuse
C=
Answer:
300
Step-by-step explanation:
do 15 times 20 and that should make 300.
hope this helps
What liner expression would you need to subtract (5x+3) to have a difference of -x
The linear expression which would need to be subtracted from (5x + 3) to get -x is; 6x + 3.
Which fraction would need to be subtracted from (5x + 3) to get -x?It follows from the task content that the linear expression which would need to be subtracted from 5x + 3 to get -x is to be determined.
Hence, let the required linear expression be y so that we have;
5x + 3 - y = -x
y = 5x + 3 + x
y = 6x + 3.
Ultimately, the expression would need to be subtracted from 5x + 3 to have a difference of -x is; y = 6x + 3.
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which expression is equivalent to the expression shown below?
-1/2(-3/2x + 6x + 1) - 3x
A) 3/2x - 1/2
B) 6 3/4x - 1/2
C) -3/4x + 1/2
D) -5 1/4x - 1/2
Answer:
vcbnvjhgbvnhtrgbhj hy6tyuk
Step-by-step explanation:
The correct answer is: [D]: " (-5 )x − " .
_________________________________________________________
Explanation:
_________________________________________________________
" -1/2(-3/2x + 6x + 1) − 3x " ;
= (-1/2 * -3/2 x) + (-1/2 * 6x) + (-1/2 * 1) − 3x ;
= [ (-1 *-3) /(2*2)] x + (-3x) + (-1/2) ] − 3x ;
= [ (3/4)x − 3x − (1/2) ] − 3x ;
= (3/4)x − 3x − (1/2) − 3x ;
= ?? ; → Combine the "like terms" ;
→ "(3/4)x − 3x − 3x " = ?? ;
→ "(3/4)x − 3x = "(-9/4)x";
→ "(-9/4)x − 3x = "(-21/4)x " = " (-5 )x " ;
→ The answer is: " (-5 )x − " ;
___________________________________________________
→ which is:
___________________________________________________
→ Answer choice: [D]: " (-5 )x − " .
___________________________________________________
thomas believes that a group is cohesive when it is marked by strong positive bonds between members of a group. thomas considers cohesion to be
Thomas considers cohesion to be the presence of strong positive bonds between members of a group. In his perspective, cohesion represents a sense of unity, attachment, and solidarity among individuals within the group.
Cohesion, according to Thomas, goes beyond mere cooperation or coordination of activities. It encompasses the emotional and social aspects of group dynamics, emphasizing the quality and strength of the relationships between members. The existence of strong positive bonds implies that individuals feel connected, trust each other, and have a shared sense of identity and purpose.
Thomas likely believes that cohesive groups are characterized by mutual support, collaboration, and a sense of belonging. Members are more likely to work together effectively, communicate openly, and have a higher level of commitment to group goals. Cohesion may also contribute to increased satisfaction, motivation, and overall well-being within the group.
Thomas's perspective aligns with the socio-emotional aspect of group cohesion, emphasizing the interpersonal connections and social dynamics that contribute to the cohesiveness of a group.
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Find the distance between each pair of points given on the bottom and right edge of each puzzle piece. Arrange the puzzle pieces here so the edges match with corresponding answers. If you can not find your answer, it is likely an edge piece.
CRACK THE CODE:
Use the letters from the squares on the four corners
The distance between each pair of points given on the bottom and right edge is given below.
Using Distance formula
d = √(a-c)² + (b-d)²
1. (8, 0) and (4, 7)
= √(4-8)² + (7-0)²
= √4² +7²
= √65
(2, -6) and (4, -12)
= √(4-2)² + (-12 + 6)²
= √2² + 6²
= √40
= 2√5
2. (-3, 2) and (1, 6)
= √4² + 4²
= 4√2
(-3, 4) and (-6, 6)
= √3² + 2²
= √13
3. (9.5) and (0, -1)
= √9² + 6²
= √117
(3,-6) and(- 7, - 2)
= √4² + 4²
= 4√2
4. (-3.8) and (6,8)
= √3² + 0²
= 3
(8, 7) and (2,9)
= √6² + 2²
= 2√5
5. (10.-8) and (-7.-6)
= √17² + 2²
= √293
(10, - 10) and (2, 6)
= √8² + 16²
= √320
Thus, the edges does not match with the sides given.
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32,16,8
find the 9th term
1/8 is the 9th term in sequence .
What does sequence look like in math?
A sequence is a collection of numbers in a particular order. To go forward in the defined pattern, three dots are shown. A phrase is used to refer to each number in the series.
One is the first word, three is the second, five is the third, and so on, in the series 1, 3, 5, 7, 9,... There are groups of numbers called number sequences that adhere to a pattern or norm. Arithmetic sequences are those in which the rule is to add or remove a number each time. A geometric sequence is one where the rule is to multiply or divide by a specific amount each time. A word is used to describe each number in a sequence.
a₉ = 1/8
the general term through the pattern aₙ = 32(1/2)ⁿ⁻¹
Substitute and calculate aₙ = 1/8
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The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.
Question: The probability that there are 8 occurrences in ten minutes is
A) 0.0652
B) 0.9319
C) 0.0771
D) 0.1126
Option C. which corresponds to the probability of approximately 0.0771 that there will be 8 occurrences within a period of ten minutes.
This problem follows a Poisson distribution, where the mean and variance of the distribution are equal to λ. Here, λ = 5, and we need to find the probability of having 8 occurrences in 10 minutes. The probability mass function of Poisson distribution is:
P(X = k) = (e⁽⁻λ⁾ * λᵏ) / k!
Substituting the given values, we get:
P(X = 8) = (e⁽⁻⁵⁾ * 5⁸) / 8!
P(X = 8) ≈ 0.0771
Therefore, the probability that there are 8 occurrences in ten minutes is approximately 0.0771, which corresponds to option C.
This problem follows a Poisson distribution, where the mean and variance of the distribution are equal to λ. Here, λ = 5, and we need to find the probability of having 8 occurrences in 10 minutes. The probability mass function of Poisson distribution is:
P(X = k) = (e⁽⁻λ⁾ * λᵏ) / k!
Substituting the given values, we get:
P(X = 8) = (e⁽⁻⁵⁾ * 5⁸) / 8!
P(X = 8) ≈ 0.0771
Therefore, the probability that there are 8 occurrences in ten minutes is approximately 0.0771, which corresponds to option C.
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