Answer:
-4 < N < 6
Step-by-step explanation:
Given problem:
Compound inequality to represent all of the numbers between -4 and 6
Solution:
Problems with inequality gives a range of values for the solution:
let the numbers between these extremes = N
The inequality is;
-4 < N < 6
Where N is a real number
which rational exponent represents a square root? 1/2, 1/4, 1/3, 3/2
Answer:
1/4
Step-by-step explanation:
It is because 1/4 is equivalent to 0.25 and the square root is 1/2!
Answer:
1/2
Step-by-step explanation: because ik what im doing frrrr
File Format VHly IF 319,760 JELLY BEANS FIT IN A 1993 CADILLAC ALLANTE with a length of 178.7in and height of 51.5in and width of 73.4 THEN WHAT WILL BE HALF THE AVERAGE GUESS FOR HOW MANY JELLY BEANS FIT IN A 2001 CHEVY SUBURBAN with a height of 75.4in and length of 219.3 and width 78.8?
The number of jelly beans that fit in a 2001 Chevy Suburban can be calculated by finding the volume of the car's interior and dividing it by the volume of a single jelly bean.
To find the number of jelly beans that fit in a 2001 Chevy Suburban, we first need to calculate the volume of the car's interior. The volume of a rectangular prism is calculated by multiplying its length, width, and height. In this case, the length of the Suburban is 219.3in, the width is 78.8in, and the height is 75.4in.
Using the formula V = lwh, we can calculate the volume:
V = 219.3in * 78.8in * 75.4in
Next, we need to find the volume of a single jelly bean. Since the question does not provide this information, we will assume a standard jelly bean size.
Once we have the volume of the car and the volume of a single jelly bean, we can divide the car's volume by the jelly bean's volume to find the number of jelly beans that fit.
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To find the whole value of X, you should
I will mark you :)
Isolate the variable x and bring it on one side
then solve the equation
Hope this helps
Town b is south 38 degree east from town y what is the bearing of town y from town b
The bearing is the angle measured clockwise from the north direction to a specified direction. To find the bearing of Town Y from Town B, we use the given information that Town B is located south 38 degrees east from Town Y. By subtracting this angle from 180 degrees, we find that the bearing is 142 degrees.
To determine the bearing, we need to find the angle between the north direction and the direction from Town B to Town Y.
Since Town B is located south of Town Y, the bearing will be a southern direction. The bearing angle can be calculated as 180 degrees minus the given angle, which is 38 degrees.
Therefore, the bearing of Town Y from Town B is 180 - 38 = 142 degrees.
In conclusion, the main answer is that the bearing of Town Y from Town B is 142 degrees.
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The circumference of a circle is 3π in.
What is the area of the circle
Answer: 7.07in²
Step-by-step explanation:
To find radius,
2πr = 3π
r = \(\frac{3\pi}{2\pi}\)
r = 1.5
To find area,
A = πr²
= π × 1.5²
= (2.25π)in²
= 7.07in² (3sf)
Please help me answer this question
Step-by-step explanation:
5x - 3 = 5
5x = 8
x = 8/5 = 1.6
5x = 2
x = 2/5 = 0.4
both equations are vertical lines.
the first one (x = 1.6) was moved (translated) left by 1.2 units to become x = 0.4.
Pls help me in my math assignment
Dividing Decimals up to 2 decimal places
Example: $2.21 + 8% tax = $2.3868, rounds to __________.
The equation in percentage given by, $2.21 + 8% tax = $2.3868 rounds to $2.4 to the nearest tenth.
Given an equation,
$2.21 + 8% tax = $2.3868
This is an equation which relates the cost including the percentage of tax.
When 2.21 is added to the tax amount, we get $2.3868.
2.21 + (0.08 × 2.21) = 2.3868
Here it is not mentioned up to what decimal we have to round the figure.
If 2.3868 is rounded to the nearest whole number, it becomes 2.
If 2.3868 is rounded to the tenth, it becomes 2.4.
If 2.3868 is rounded to the hundredth, it becomes 2.39.
Hence the rounded amount to the nearest tenth is $2.4.
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How do you find the arc length?
To find the arc length, we use the formula L = rθ, where r is the radius of the circle, θ is the central angle of the arc in radians, and L is the arc length.
Arc length refers to the distance covered along the curved portion of a circle or any other curved shape. It is an important concept in geometry and trigonometry and is used to measure the size of circular arcs, the size of angles, and in many other mathematical applications.
To find the arc length, we need to use the formula for the circumference of a circle and the central angle of the arc.
The circumference of a circle is given by the formula 2πr, where r is the radius of the circle.
The central angle of the arc is given in radians and is defined as the angle between two radii that meet at the endpoints of the arc.
To find the arc length, we use the formula
=> L = rθ,
where L is the arc length, r is the radius of the circle, and θ is the central angle of the arc in radians.
To convert the central angle from degrees to radians, we use the formula θ = (π/180) x degrees, where degrees are the central angle in degrees.
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I need a nonlinear equation
Answer:
\(y = {x}^{2} + 2\\y={x}^{3}+3\)
are the examples of non-linear equation.
amy asked alfred, an international student from denmark to participate in her survey. after alfred completed the survey, amy also asked alfred to introduce other international students who might be interested in participating in her survey. as a result, amy was able to collect enough data to conduct her analysis. what type of sampling method did amy use?
In conclusion, Amy used a snowball sampling method to collect data for her survey. This method is useful when the population is hard to locate or identify, and when other sampling methods are not possible
Amy used a snowball sampling method. Snowball sampling is a non-probability sampling method where the participants recruit other members of the population.
It is useful when the population is difficult to locate or identify, as it relies on word of mouth or referrals from already recruited participants. In this case, Alfred was able to introduce other international students who might be interested in participating in Amy's survey. This allowed Amy to collect enough data to conduct her analysis. Snowball sampling is useful when the sample size is not known, when time is limited, or when a random selection is not possible.
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8−6÷2+3×5= 7×3−15÷5= 8+2(1+12÷2)^2=
Recall that the order of the operations PEMDAS
1. Parenthesis
2. Exponents.
3. Multiplication.
4. Division.
5. Addition.
6. Subtraction.
1. Given expression is
\(8-6\div2+3\times5\)Multiply 3 and 5, we get
\(8-6\div2+3\times5=8-6\div2+15\)Divide 6 by 2, we get
\(=8-3+15\)Subtract 3 from 8, we get
\(=5+15\)Add 5 and 15, we get
\(=20\)The answer is
\(8-6\div2+3\times5=20\)2.Given expression is
\(7\times3-15\div5\)Multiply 7 and 3, we get
\(7\times3-15\div5=21-15\div5\)Divide 15 by 5, we get
\(=21-3\)Subtract 3 from 21, we get
\(=18\)The answer is
\(7\times3-15\div5=18\)3. Given expression is
\(8+2(1+12\div2)^2\)First, we need to solve inside the parenthesis, divide 12 by 2, we get
\(8+2(1+12\div2)^2=8+2(1+6)^2\)Add 1 and 6, we get
\(=8+2(7)^2\)Solve exponent.
\(=8+2(49)\)Multiply 2 and 49, we get
\(=8+98\)Add 8 and 98, we get
\(=106\)The answer is
\(8+2(1+12\div2)^2=106\)A certain lie detector test will show a positive reading (indicating a lie) 15% of the time. Suppose that a random sample of 6 suspects were given a lie detector test. Find the probability of observing no positive readings if all suspects are telling the truth.
There is a 44.37% chance that none of the suspects will be falsely accused of lying based on the lie detector test.
The process of lie detector with the help of probability :-
Assuming the lie detector test is accurate, the probability of showing a positive reading (indicating a lie) is 0.15, and the probability of showing a negative reading (indicating truth) is 0.85.
If all six suspects are telling the truth, the probability of observing no positive readings in the sample can be calculated as follows:
P(no positive readings) = P(negative reading for suspect 1) * P(negative reading for suspect 2) * P(negative reading for suspect 3) * P(negative reading for suspect 4) * P(negative reading for suspect 5) * P(negative reading for suspect 6)
= 0.85 * 0.85 * 0.85 * 0.85 * 0.85 * 0.85
= 0.4437053125
Therefore, the probability of observing no positive readings if all suspects are telling the truth is approximately 0.4437 or 44.37%.
This means that there is a 44.37% chance that none of the suspects will be falsely accused of lying based on the lie detector test. However, it is important to note that the accuracy of lie detector tests is often questioned, and they are not considered reliable evidence in many legal systems.
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What is the mean for the set of data?
Answer:
the mean is 3
Pls mark Brainliest :)
Step-by-step explanation:
If x and y are integers and x = 50y + 69, which of the following must be odd? O xy O x+y O x+2y 3x - 1 O 3x+1
Since 50 is an even number, we know that x will be even if y is even (50 times an even number is still even) and odd if y is odd (50 times an odd number is odd). Therefore, the only answer choice that must be odd is x+y.
Given that x and y are integers and x = 50y + 69, let's determine which of the following expressions must be odd.
1. xy: Since x is odd (50y + 69), when it is multiplied by any integer y, the result will always be odd. Therefore, xy must be odd.
2. x + y: If x is odd, adding it to an even integer (y) would result in an odd number. However, adding it to an odd integer (y) would result in an even number. Therefore, x + y does not necessarily have to be odd. xy: We can't determine if this is odd or even without knowing the values of x and y.
- x+y: This expression is always odd. To see why, consider two cases:
If x and y are both odd, then x+y is even+odd=odd.
If x and y are both even, then x+y is even+even=even.
If one of x and y is odd and the other is even, then x + y is odd + even =odd.
3. x+2y: We can't determine if this is odd or even without knowing the values of x and y.
3x-1: This expression will be odd if x is odd (3 times an odd number is odd) and even if x is even (3 times an even number is even).
3x+1: This expression will be odd if x is even (3 times an even number plus 1 is odd) and even if x is odd (3 times an odd number plus 1 is even).
x + 2y: Since x is odd and 2y is always even, their sum must be odd. Therefore, x + 2 y must be odd.
4. 3x - 1: This expression is odd, since 3x will always be odd (as x is odd) and subtracting 1 from an odd number results in an even number. Therefore, 3x - 1 does not necessarily have to be odd.
5. 3x + 1: This expression is odd, since 3x will always be odd (as x is odd) and adding 1 to an odd number results in an even number. Therefore, 3x + 1 must be odd.
In conclusion, the expressions that must be odd are xy, x + 2y, and 3x + 1.
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A psychology survey has 6 choices for race and a choice for male or female.
There are
possible choices. If the survey adds 7 age categories, there are
possible choices
For each of the 12 gender and race options, there are 7 possible combinations with age categories. Therefore, the total number of possible choices for the survey increases from 12 to 84 when 7 age categories are added to the survey.
In the given psychology survey, there are 6 choices for race and 2 choices for gender (male or female). Therefore, the total number of possible choices for gender and race combined is 6 x 2 = 12.
When the survey adds 7 age categories, each of the 12 possible choices for gender and race can be combined with each of the 7 age categories, resulting in a total of 12 x 7 = 84 possible choices.
In other words, for each of the 12 gender and race options, there are 7 possible combinations with age categories. Therefore, the total number of possible choices for the survey increases from 12 to 84 when 7 age categories are added to the survey.
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What is the solution to the equation log(2x + 4) = 2? Round to the nearest thousandth, if necessary.
Enter your answer in the box.
Answer:
x = 48
Step-by-step explanation:
\(\log_{10}(2x+4)=2\)
\(\implies 10^{\log_{10}(2x+4)}=10^2\)
\(\implies 2x+4=100\)
\(\implies 2x=96\)
\(\implies x=48\)
What is the solution to this system of equations? 3.2 x 0.5 y = 4.2. negative 1.6 x minus 0.5 y = 3.4. (4.75, 38.8) (4.75, negative 22) no solution infinitely many solutions
The solution to the system of equation is (4.75, -11)
3.2x + 0.5y = 4.2
-1.6x -0.5y = 3.4
How to solve system of equation?
3.2x + 0.5y = 4.2
-1.6x -0.5y = 3.4
add equation(i) to equation(ii)
Therefore,
1.6x = 7.6
divide both sides by 1.6
x = 7.6 / 1.6
x = 4.75
Therefore,
3.2(4.75) + 0.5y = 4.2
0.5y = 4.2 - 15.2
0.5y = -11
y = - 11 / 0.5
y = - 22
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Answer:
The solution is x=4.75 and y = -22
Step-by-step explanation:
To find the solution to the system of equations, we will follow the steps below:
3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)
-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)
add equation (1) and equation (2)
1.6x =7.6
Divide both-side of the equation by 1.6 to get the value of x
1.6x /1.6 =7.6/1.6
x =4.75
substitute x = 4.75 into equation (1) and solve for y
3.2(4.75) + 0.5y = 4.2
15.2 + 0.5y = 4.2
subtract 15.2 from both-side of the equation
15.2 - 15.2 + 0.5y = 4.2-15.2
0.5y = -11
Divide both-side of the equation by 0.5
0.5y/0.5 = -11/0.5
y = -22
The solution is x=4.75 and y = -22
PLSSS HELP IF YOU TURLY KNOW THISS
Let the polynomials A = 7x² + 3xy e B = -3xy.
Determine A + B
a) 7x²
b) 3xy
c) 7x² + 6xy
d) 14x² + 6xy
e) -3xy
Answer:
The answer is A.
Step-by-step explanation:
You have to add up both polynomials together :
A = 7x² + 3xy
B = -3xy
A + B = 7x² + 3xy + (-3xy)
= 7x² + 3xy - 3xy
= 7x²
Please help me I need help
Answer:
2
Step-by-step explanation:
8+14 = 22
22-5 = 17
17-7 = 10
10+3 = 13
13-7 = 6
6-4 = 2
Answer:
d) 2
Step-by-step explanation:
Refer to Table \( \$ 6.1 \)-Factors for Computing Control Chart Limits \( (\underline{3} \) sigma) for this problem. Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine
The control chart limits (3 sigma) for the fertilizer-bag-filling machine can be computed using Table $6.1.
How can the control chart limits be computed using Table $6.1 for the given problem?To compute the control chart limits (3 sigma) using Table $6.1 for the fertilizer-bag-filling machine, follow these steps:
Determine the sample size: In this problem, each sample consists of 7 observations.
Calculate the average range (R): For each sample, calculate the range by subtracting the smallest observation from the largest observation. Then, calculate the average range across all 35 samples.
Find the appropriate value from Table $6.1: Locate the row in Table $6.1 corresponding to the sample size (7) and find the factor associated with 3 sigma. This factor represents the number of standard deviations for the control limits.
Compute the control limits: Multiply the average range (R) by the factor obtained from Table $6.1 to determine the width of the control limits. Then, subtract this width from the overall average of the process data to obtain the lower control limit, and add the width to the overall average to obtain the upper control limit.
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Common ratio is this sequence 6 12 24 48 96
A. 2
B. 6
C. 1 over 2
D. -2
Answer:c
Step-by-step explanation:
just took it
Answer:
I'ts either \(\frac{1}{2}\)or .5calculate the customer lifetime value (clv) for a credit card product with a 100k sign-on bonus offer and $450 annual fee for the following three sub-segments: transactors, revolvers and dormants.
The CLV for transactors is $37.5, for revolvers it is $208.33, and for dormants, it is $2,000,000.
Customer Lifetime Value (CLV) is a financial analysis of the total revenue an organization can reasonably anticipate from a single customer over the course of their relationship. It is the net present value of the cash flows attributed to the relationship with a customer.
This metric is widely used in business to determine how valuable a customer is to the company.
The formula for CLV is:
CLV = (Average Value of a Sale) X (Number of Repeat Transactions) X (Average Retention Time in Months or Years)
There are three sub-segments of the credit card product: transactors, revolvers, and dormants.
The transactors are customers who pay off their credit card balance every month.
Revolvers are customers who carry a balance from month to month.
Dormants are customers who no longer use their credit card.
Each sub-segment will have a different CLV.
Here is how to calculate CLV for each sub-segment:
Transactors:
CLV = (Annual Fee) X (1/Churn Rate)
CLV = (450) X (1/12)
CLV = 37.5 dollars
Revolvers:
CLV = (Annual Interest Paid) X (Average Customer Lifespan)
CLV = (5000) X (1/24)
CLV = 208.33 dollars
Dormants:
CLV = (Number of Dormant Customers) X (Average Annual Spend per Customer) X (Profit Margin)
CLV = (10,000) X (1000) X (0.2)
CLV = 2,000,000 dollars
Therefore, the CLV for transactors is $37.5, for revolvers it is $208.33, and for dormants, it is $2,000,000.
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Consider the following differential equation. x′′+xx′−4x+x^3=0. By introducing a new variable y=x′, we set up a system of differential equations and investigate the behavior of its solution around its critical points (a,b). Which point is a unstable spiral point in the phase plane? A. (0,0) B. (1,3) C. (2,0) D. (−2,0)
To determine which point is an unstable spiral point in the phase plane for the given differential equation, we need to investigate the behavior of the solution around its critical points.
First, let's find the critical points by setting x' = 0 and x'' = 0 in the given differential equation. We are given the differential equation x'' + xx' - 4x + x^3 = 0.
Setting x' = 0, we get:
0 + x(0) - 4x + x^3 = 0
Simplifying the equation, we have:
x(0) - 4x + x^3 = 0
Next, setting x'' = 0, we get:
0 + x(0)x' - 4 + 3x^2(x')^2 + x^3x' = 0
Since we have introduced a new variable y = x', we can rewrite the equation as a system of differential equations:
x' = y
y' = -xy + 4x - x^3
Now, let's analyze the behavior of the solutions around the critical points (a, b). To do this, we need to find the Jacobian matrix of the system:
J = |0 1|
|-y 4-3x^2|
Now, let's evaluate the Jacobian matrix at each critical point:
For point (0,0):
J(0,0) = |0 1|
|0 4|
The eigenvalues of J(0,0) are both positive, indicating an unstable node.
Fopointsnt (1,3):
J(1,3) = |0 1|
|-3 1|
The eigenvalues of J(1,3) are both complex with a positive real part, indicating an unstable spiral point.
For point (2,0):
J(2,0) = |0 1|
|0 -eigenvalueslues lueslues of J(2,0) are both negative, indicating a stable node.
For point (-2,0):
J(-2,0) = |0 1|
|0 4|
The eigenvalues of J(-2,0) are both positive, indicatinunstablethereforebefore th hereherefthate point (1,3) is an unstable spiral point in the phase plane.
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Find the vectors that join the center of a clock to the hours 1:00, 2:00, and 3:00. Assume the clock is circular with a radius of 1 unit.
at
1:00
2:00
3:00
The vectors that join the center of a clock to the hours :
At 1:00: (cos(π/6), sin(π/6)) = (√3/2, 1/2)
At 2:00: (cos(π/3), sin(π/3)) = (1/2, √3/2)
At 3:00: (cos(π/2), sin(π/2)) = (0, 1)
What is Vector?
A vector is a object that has both magnitude (size) and direction. In other words, a vector is a quantity that can be represented by an arrow or line segment, where the length of the arrow corresponds to the magnitude of the vector.
To find the vectors that join the center of a clock with radius 1 unit to the hours 1:00, 2:00, and 3:00, we can use basic trigonometry.
First, we can find the angle (in radians) between the 12:00 position and each of the desired hour positions. Since there are 12 hours on a clock and the circle has a circumference of 2πr = 2π(1) = 2π, the angle between each hour mark is:
2π/12 = π/6 radians
Therefore, the angles between the center of the clock and the hour marks are:
At 1:00, the angle is π/6 radians clockwise from the 12:00 position.
At 2:00, the angle is 2π/6 = π/3 radians clockwise from the 12:00 position.
At 3:00, the angle is 3π/6 = π/2 radians clockwise from the 12:00 position.
Next, we can use the cosine and sine functions to find the x and y components of each vector. The x-component of each vector is given by the radius times the cosine of the angle, and the y-component is given by the radius times the sine of the angle.
Therefore, the vectors that join the center of the clock to the hours 1:00, 2:00, and 3:00 are:
At 1:00: (cos(π/6), sin(π/6)) = (√3/2, 1/2)
At 2:00: (cos(π/3), sin(π/3)) = (1/2, √3/2)
At 3:00: (cos(π/2), sin(π/2)) = (0, 1)
Note that these vectors are unit vectors, meaning that they have a length of 1 unit.
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HELP ASAP OFFERING 13 points
Choose the algebraic description that maps the image ΔXYZ onto ΔX′Y′Z′.
Question 15 options:
A)
(x, y) → (x – 6, y – 1)
B)
(x, y) → (x + 5, y – 1)
C)
(x, y) → (x + 6, y – 1)
D)
(x, y) → (x – 5, y – 1)
Answer:
A
Step-by-step explanation:
Answer:
A is correct
Step-by-step explanation:
I took the test and got it right and (x, y) → (x – 6, y – 1) if you do the equation it fits the image
PLEASE HELP I CANT DO IT I DONT UNDERSTAND THIS AND MY TEACHER DOESNT KNOW HOW TO EXPLAIN PROPERLY !
Use a net to find the surface area of the prism.
Answer:
\(SA=1657 cm^2\)
Step-by-step explanation:
Surface Area Formula for Rectangular Prism.
\(SA=2*[ (l*h) + (w*h) + (l*w)]\)
Your l = 15 cm , w = 6.5 cm , and h = 34 cm.
Plug these values into the equation.
\(SA=2*[ (15*34) + (6.5*34) + (15*6.5)]\)
\(SA=2*[(510)+(221)+(97.5)]\)
\(SA=2*[510+221+97.5]\)
\(SA=2*(828.5)\)
\(SA=1657 cm^2\)
12
Homer is a permanent full-time employee and is paid $456 per week. He receives a holiday
loading of 1742% on his four weeks' holiday pay
What is his total pay ?
Answer:
2159.74
Step-by-step explanation:
you times 456 by 4 then you times that answer by the 1742%
Can someone pls help me? I have 4 hours to do this!
Answer:
a
Step-by-step explanation: