The relationship between the quantities shown in the table is +10. The values in column 2 (y) are obtained by adding 10 to the corresponding values in column 1 (x).
How to explain the relationshipIn the given table, the values in column 1 (labeled "x") are 1, 2, 3, and 4. The values in column 2 (labeled "y") are 11, 22, 33, and 44.
To determine the relationship between the quantities in the table, we can compare the values in column 2 (y) with the corresponding values in column 1 (x).
If we subtract each value in column 1 from the corresponding value in column 2, we find that:
11 - 1 = 10
22 - 2 = 20
33 - 3 = 30
44 - 4 = 40
By observing these results, we can see that the difference between each value in column 2 and its corresponding value in column 1 is always 10.
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Part C: The Editor in Chief decided that the reporter chose the incorrect units. The editor
wants the reporter to convert the distance to miles. Complete this conversion.
Based on the fact that the Editor in Chief wants the reporter to convert the distance to miles, the correct conversion is 1,450 miles.
What is the distance in miles?The reporter wrote that the goose in question flew 2,552,000 yards when they migrated from Ottawa, Canada to Jackson, Mississippi.
When converted to miles, the distance would be:
A single mile is 1,760 yards.
2,552,000 yards in miles is therefore:
= 2,552,000 / 1,760
= 1,450 miles
Rest of the question is:
National Geographic is reporting on the migration patterns of Canadian Geese. One of the birds they are tracking traveled from Ottowa, Canada to Jackson, Mississippi. the reporter estimates that this goose flew 2,552,000 yards.
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For a standard normal distribution, given P(z < c) = approximately 16%. Find c. (Answer as an integer).c = ________
Given:
For a standard normal distribution, the probability is given as,
\(P(zThe objective is to find the value of c.Explanation:
From the z score table, for the probability of (z\(c=-0.994458\)Hence, the value of c is -0.994458.
The quotient of twenty and a number, decreased by 4, is equal to zero
The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say that number is x,
Quotients of 20 and x will be given as 20/x
20/x - 4 = 0
20/x = 4
x = 20/4 = 5
Hence"The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5".
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Find the median and mean of the data set. Then, determine if the data set is symmetrical.
{48, 16, 8, 6, 37,20}
A. The median is: [Select]
B. The mean is: [Select]
C. The data set is [Select]
because [Select]
The answers are,
A) The median is 18.
B) The mean is 2.25.
C) The data set is not symmetrical because it is skewed left.
What is median and mean of data set?
The measure of central tendency that is most frequently used is the mean. The average of the specified set of data is what it actually reflects. Both continuous and discrete data types can use it. It is determined by dividing the total number of values in the data collection by the total sum of all the values.
In most cases, the median shows the midpoint of the supplied set of data when it is presented in a specific order.
Here the given data set is 48,16,8,6,37,20.
To find median , we need rearrange then into ascending order then,
=> 6,8,16,20,37,48.
Here mid point of the data set is 16 and 20. Then,
=> \(\frac{16+20}{2}\)
=> \(\frac{36}{2}\)
=> 18.
Now to find mean of the data set we need to add all data and divide them by number of data, Then
=> \(\frac{48+16+8+6+37+20}{6}\)
=> \(\frac{135}{6}\)
=> 2.25
Now the data set is not symmetrical because it is skewed left.
Hence the answers are,
A) The median is 18.
B) The mean is 2.25.
C) The data set is not symmetrical because it is skewed left.
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5 4. Cos^8A - singa^8A
Answer:\(z=a+bi=|z|(cos(θ)+isin(θ))tofindthtrigonometricform.√sin2(ga8A)+cos16(A)(cos(arctan(−1sin(ga8A)cos8(A)))+isin(arctan(−1sin(ga8A)cos8(A))))\)
Step-by-step explanation:
Philip has been experimenting with new recipes at his bakery for the past 8 months. This month, he tried a recipe for lavender vanilla muffins and gave samples to his customers. He asked them to rate the muffins on a scale of 1 to 10 stars. The median rating was 7 stars, and the interquartile range was 4 stars. ) What can you conclude from these data and statistics? Select all that apply. () No customer gave the muffins fewer than 8 stars. A typical rating for the muffins was 7 stars. The middle 50% of customer ratings had a range of 4 stars. Submit
A. y = -1
B. X = -1
C. y = 1
D. X = 1
40/396 simplified can you help
Answer:
10/99
Step-by-step explanation:
40/396
40÷4/396÷4
10/99
PLSSS I NEED HELP
PLSSS I NEED HELP
Answer:
A, how much more soil did natasha add than dina?
B, Dina added 5/6 and Natasha added 11/8
C, subtraction
D, 11/8-5/6 or 33/24-20/24
E, 13/24
F, Natasha added 13/24 more of the bag than Dina did.
Step-by-step explanation:
What is the equation of the line that passes through the point (5,-1) and has a
slope
of 1/5
Answer:
y=1/5x-2
Step-by-step explanation:
You want to find the equation for a line that passes through the point (5,-1) and has a slope of 1/5.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 1/5. So you can right away fill in the equation for a line somewhat to read:
y=1/5x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(5,-1). When x of the line is 5, y of the line must be -1.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 1/5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (5,-1).
So, why not plug in for x the number 5 and for y the number -1? This will allow us to solve for b for the particular line that passes through the point you gave!.
(5,-1). y=mx+b or -1=1/5 × 5+b, or solving for b: b=-1-(1/5)(5). b=-2.
The equation of the line that passes through the point (5,-1) with a slope of 1/5
is
y=1/5x-2
Jason used his car as collateral to borrow money from his bank. After losing his job, Jason is now unable to make his monthly payments for the loan, defaulting on the loan. If Jason is unable to continue to make his payments, what is likely to happen to his car?
a.
The bank will ask Jason to sell the car to help pay back his loan.
b.
The bank will seize the car and likely sell it to pay off Jason’s loan.
c.
The bank will notify the local government of Jason’s default on his loan, making it illegal for Jason to drive the car.
d.
The bank will put a “boot” on one wheel of the car, making it un-drivable until Jason begins making his payments again.
The situation from above will likely make the bank seize the car and likely sell it to pay off Jason’s loan.
Option B is the correct answer.
What is collateral?Collateral is an item of value that a lender can take away from a borrower when he or she fails to repay a loan according to the terms that were agreed upon while borrowing.
We have,
Collateral is an item that a lender can seize when the borrower is unable to pay the loan.
Collateral for Jason was his car.
Thus,
The situation from above will likely make the bank seize the car and likely sell it to pay off Jason’s loan.
Option B is the correct answer.
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A technician is setting up a router and would like to increase the security level. Which of the following actions will achieve this? A. Increasing transmission power B. Changing the default admin password C. Installing anti-malware on the router D. Configuring multifactor logon authentication
changing the default admin password will achieve the security level.
What is a router ?
An networking device called a router is used to forward data packets between computer networks. On the worldwide Internet and between networks, routers handle traffic directing. Data packets are the unit of data delivered via a network, such as an email or a web page. An internetwork (such as the Internet) is made up of networks, and a packet is normally passed from one router to another router over those networks until it reaches its destination node.
Default admin password can be known for many people and they can use the internet.
So, changing the default admin password will achieve the security level.
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Convert the following binary to decimal numbers 1112
\(1\cdot2^2+1\cdot2^1+1\cdot2^0=4+2+1=7\\\\111_2=7_{10}\)
Find the value of each variable.
Answer:
Step-by-step explanation:
The sum of exterior angles in a quadrilateral is always 360 degrees.
So, 2x+x+4x+3x=10x=360
Soling for x, we get x=36 degrees.
A tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an exponential model representing the amount of Iodine-125 remaining in the tumor after t days. Then use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days.
With the use of formula, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams
Word Problem Leading to Exponential FunctionFirst analyze the problem and represent them in exponential function. The decay rate is different from increase rate with minus and plus sign.
Given that a tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. Let
I = initial amount injected = 0.9 gramsR = decay rate = 1.15%t = number of days = 60 daysA = the remaining amount of Iodine - 125An exponential model representing the amount of Iodine-125 remaining in the tumor after t days will be
A = I( 1 - R%)^t
Let us use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days by substituting all the given parameters into the formula
A = 0.9 ( 1 - 1.15/100)^60
A = 0.9 ( 1 - 0.0115)^60
A = 0.9 ( 0.9885)^60
A = 0.9 x 0.4995
A = 0.45 grams
Therefore, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams
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Allison has $17624 in her account after 18 years . An interest rate of 7% was compounded daily . How much money was deposited initially ?-$6,000-$4,000-$5,000-$3,000
Using an old post still need help
Answer:
12x+20
Step-by-step explanation:
2(5x+2)+2(x+8)
or (simplified)
10x+4+2x+16=12x+20
Answer:
12x+20
Step-by-step explanation:
5x+2+x+8+5x+2+x+8
12x+20
Question 4 of 40
Which of these is a correct expansion of (3x-2)(2x2+5)?
OA. 3x 2x2 + 3x 5+2 2x² +2.5
B. 3x 2x2 + 3x.5+ (-2) 2x2 + (-2).5
O C. 3x 2x²+(-2) 2x² + 2x².5+ (-2).5
SUBMIT
Answer:
3x* 2x^2 +3x*5 -2 * 2x^2 -2 *5
Step-by-step explanation:
(3x-2)(2x^2+5)
We can FOIL to find the expansion
First 3x* 2x^2 = 6x^3
Outer 3x*5 = 15x
Inner -2 * 2x^2 = -4x^2
Last -2 *5 = -10
Add all the terms together
3x* 2x^2 +3x*5 -2 * 2x^2 -2 *5
Answer:
3x • 2x^2 + 3x • 5 + (–2) • 2x^2 + (–2) • 5
Step-by-step explanation:
other answer was right
Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
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PLEASE HELP ILL GIVE BRAINLIEST !!! 100 POINTS !! NO FAKE ANSWERS !
Answer:
20
Step-by-step explanation:
complex conjugate of 10+5i = 10-5i
10+5i + 10-5i = 20
True or False All horizontal lines have a y-intercept.
True
The whole statement is true,
False
Some of the statement is false.
Answer:
True
Step-by-step explanation:
I Think :|
A cone with a diameter of 16 centimeters has a volume of 320(pie)cubic centimeters. Find the height of the cone.
A cone with a diameter of 16 centimeters has a volume of 320π cubic centimeters, the height of the cone is 15 cm.
What is volume of cone?A cone should be emptied at a time after being filled with water. The cylinder is filled to a third with each cone. Since there are three of them, the cylinder will be filled. As a result, the volume of a cone is equal to one-third of the volume of a cylinder.
Cone volume is calculated using the method V=1/3πhr².
Given that,
diameter(d) = 16 cm
radius (r) = d/2 = 8 cm
volume = 320π cubic centimeters
πr²h/3 = 320π
or, [π × (8)² × h]/3 = 320π
or, h = (3 × 320)/(8)²
or, h = 15 cm
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117 divided by 18. Show the answer as a fraction in lowest terms
Answer:
Im unsure what your asking but the answer is 6 1/2 in fraction form and 6.5 in decimal form :/
Step-by-step explanation:
math
When 117 is divided by 18 we get 117/18 in fraction form.
To divide 117 by 18, we perform long division.
We start with the first digit of the dividend (1) and divide it by the divisor (18).
Since 18 is larger than 1, the quotient for this step is 0.
We then bring down the next digit (1) and place it next to the previous result.
Again, since 18 is larger than 11, the quotient for this step is 0.
Therefore, the result of dividing 117 by 18 is 0 with a remainder of 117.
In fraction form, this can be expressed as 117/18.
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6x ( 2/3 divided by 2)+ 0.5
Answer:
2.5
Step-by-step explanation:
Given expression:
\(6 \times \left(\dfrac{2}{3} \div 2\right)+0.5\)
Following the order of operations (PEDMAS), carry out the calculation inside the parentheses first.
When dividing a fraction by a whole number, first covert the whole number into a fraction:
\(\implies 6 \times \left(\dfrac{2}{3} \div \dfrac{2}{1}\right)+0.5\)
When dividing fractions, flip the second fraction (swap the numerator and denominator), then multiply:
\(\implies 6 \times \left(\dfrac{2}{3} \times \dfrac{1}{2}\right)+0.5\)
\(\implies 6 \times \left(\dfrac{2 \times 1}{3\times2}\right)+0.5\)
\(\implies 6 \times \left(\dfrac{2}{6}\right)+0.5\)
\(\implies 6 \times \dfrac{2}{6}+0.5\)
Now carry out the multiplication:
\(\implies \dfrac{6 \times2}{6}+0.5\)
\(\implies \dfrac{\diagup\!\!\!\!6 \times2}{\diagup\!\!\!\!6}+0.5\)
\(\implies 2+0.5\)
Finally carry out the addition:
\(\implies 2.5\)
2.5
6*(2/3)/2 + 0.5
6*1/3 + 0.5
2 + 0.5
=2.5
solve the PDE using separation of variables method Uxx = 1/2 Ut 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
The general solution of the partial differential equation is:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
How to solve Partial Differential Equations?The partial differential equation (PDE) is given as:
Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Assume that the solution can be written as a product of two functions:
U(x, t) = X(x)T(t)
Substituting this into the PDE, we have:
X''(x)T(t) = (1/2)X(x)T'(t)
Dividing both sides by X(x)T(t), we get:
(X''(x))/X(x) = (1/2)(T'(t))/T(t)
Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:
(X''(x))/X(x) = -λ²
(1/2)(T'(t))/T(t) = -λ²
Simplifying the second equation, we have:
T'(t)/T(t) = -2λ²
Solving the second equation, we find:
T(t) = Ce^(-2λ²t)
Applying the boundary condition U(0, t) = 0, we have:
U(0, t) = X(0)T(t) = 0
Since T(t) ≠ 0, we must have X(0) = 0.
Applying the boundary condition U(3, t) = 0, we have:
U(3, t) = X(3)T(t) = 0
Again, since T(t) ≠ 0, we must have X(3) = 0.
Therefore, we can conclude that X(x) must satisfy the following boundary value problem:
X''(x)/X(x) = -λ²
X(0) = 0
X(3) = 0
The general solution to this ordinary differential equation is given by:
X(x) = Asin(λx) + Bcos(λx)
Applying the initial condition U(x, 0) = 5*sin(4πx), we have:
U(x, 0) = X(x)T(0) = X(x)C
Comparing this with the given initial condition, we can conclude that T(0) = C = 5.
Therefore, the complete solution for U(x, t) is given by:
U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)
where:
Σ represents the summation over all values of n
λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).
To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):
X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0
X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0
From the first equation, we have Bₙ = 0.
From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.
This implies that 3λₙ = nπ, where n is an integer.
Therefore, λₙ = (nπ)/3.
Substituting the eigenvalues into the general solution, we have:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
where Aₙ are the coefficients that can be determined from the initial condition.
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permieter of 2 rectangles is 54 cm.
work out the area of a square
The Area of Square is 81 cm².
let the side of the square which is length for both rectangles be a.
let the width of rectangle be x and y.
So, x+ y= a
sum of perimeters= 54
2 (a +x ) + 2 (a+ y) = 54
2a+ 2x + 2a+ 2y = 54
2a + 2a + 2(x+ y) = 54
4a + 2 (a) = 54
4a + 2a = 54
6a = 54
a= 54/6
a= 9
So, area of square
= 9 x 9
= 81 cm²
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Which statement correctly describes order of operations (PEMDAS)?
Addition sometimes comes before subtraction.
Multiplication always comes before division.
Addition is always the last operation to use.
Subtraction is always the last operation to use.
PLZ HELP FAST ILL GIVE BRAINLIEST
Answer:
B
Step-by-step explanation:
parentheses exponents multiplication division addition subtraction
Find the volume for this problem ?
\(x^{2}\)Answer:628.31 ft
Step-by-step explanation:
v=\(\pi\)r^2h
v=(3.14159)(5)^2(8)
v=628.31
One bucket of gravel has a mass of 7.05 KG. What is the mass of 20 buckets of gravel in kilograms?
Is it either
A 14.1 KG
B 150 KG
C 27.05 KG
Or
D 141 KG
Answer:
D: 141 KG
Step-by-step explanation:
7.05 x 20 = 141
Just multiply the mass of the object by however many objects there are if they all weigh the same.
2. Explain how Kiran recorded the decomposition of the ten into more ones.
SOLUTION
In other to perform the subtraction of the rightmost column
Kira had to divide the ten into ten equal parts the get more ones.