ANSWER
9/5
EXPLANATION
A ratio of yards to inches is given,
\(\frac{2yd}{40in}\)To express this in the lowest terms, we must simplify the numeric part, but first, we have to convert 2 yards into inches, knowing that 1 yard is equivalent to 36 inches,
\(2yd\cdot\frac{36in}{1yd}=72in\)Now, the unit cancels out,
\(\frac{2yd}{40in}=\frac{72in}{40in}=\frac{72}{40}\)Next, we have to simplify the result. Note that both the numerator and denominator are divisible by 2, so let's divide them by 2,
\(\frac{\frac{72}{2}}{\frac{40}{2}}=\frac{36}{20}\)Now, in this equivalent fraction, both parts are also divisible by 2,
\(\frac{\frac{36}{2}}{\frac{20}{2}}=\frac{18}{10}\)And, finally, we can divide both by 2 one more time,
\(\frac{\frac{18}{2}}{\frac{10}{2}}=\frac{9}{5}\)Hence, this expression in the lowest terms is 9/5.
5. Winton surveys the people in his neighborhood and makes the following box plot of his neighbors
ages.
20
40
60
80
100
Age (years)
Which statement correctly represents the data?
A. 25% of the people in Winton's neighborhood are less than 35 years old.
B. 25% of the people in Winton's neighborhood are between 0 and 20 years old.
C. 25% of the people in Winton's neighborhood are between 20 and 50 years old
D. 50% of the people in Winton's neighborhood are less than 50 years old.
the box and whisker plot is 20 to 50
Answer:
D
Step-by-step explanation:
Use the figure to answer the question. Calculate GH is a=3 and b=20
Answer:
7.75
Step-by-step explanation:
By Geometric mean property:
\( GH = \sqrt {a \times b} \)
\( GH = \sqrt {3 \times 20} \)
\( GH = \sqrt {60} \)
\( GH = 7.74596669\)
\( GH \approx 7.75\)
How can we find that when a system of two equations, two unknowns has Infinite Solutions. I want a solution with matrix. I know this method (which is not with matrix):
Step-by-step explanation:
To determine if a system of two equations with two unknowns has infinite solutions using matrices, you can perform Gaussian elimination or row reduction on the augmented matrix of the system. If the reduced form of the matrix is the identity matrix, then the system has a unique solution. If the reduced form is a row of zeros except for the last column, then the system has no solution. If the reduced form has a row with all zeros except for the last column being non-zero, then the system has an infinite number of solutions.
In other words, the system has infinite solutions if the row reduced form of the augmented matrix has a row of the form [0 0 c], where c is a non-zero scalar. This means that there is a non-trivial solution that satisfies the equation, indicating that there are infinitely many solutions.
Which graph has a slope of 4/5
Answer:
The bottom one should be the answer
Step-by-step explanation:
A simple trick is to count how many units does the x travel from left to right, then count to the point. BTW they are separate numbers. The first one is x and the second one is y.
write an explicit formula for a subscript n, the nth term of the sequence 8, 11, 14,...
please please help
The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values.
here,
The Sequences 8, 11, 14,...
first term a = 8
common difference = 11 - 8 = 3
Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3
Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.
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What is the measure of angle N?
Answer:
47.3 degrees
Step-by-step explanation:
The sum of all the angles in a triangle is 180 degrees.
180 - 42.7 - 90 = N
N = 47.3 degrees
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? Question
Using the single taxable income tax brackets for 2018, select the appropriate marginal tax rate for each individual.
Select the correct rates in the table.
Individual
teacher, taxable income $40,259
pediatrician, taxable income $194,680
mathematician, taxable income $93,810
registered nurse, taxable income $55,350
Question 2
Tax Bracket
10% 12%
22%
32%
37%
35%
32% 24% 22%
22%
24% 32%
The appropriate marginal tax rates for each individual based on their taxable income are: Teacher - 12%, Pediatrician - 35%, Mathematician - 24%, Registered Nurse - 22%.
1: Using the single taxable income tax brackets for 2018, select the appropriate marginal tax rate for each individual. Select the correct rates in the table. Individual Taxable Income Marginal Tax Rate Teacher $40,259 12% Pediatrician $194,680 35% Mathematician $93,810 24% Registered Nurse $55,350 22%
2: Tax Bracket 10% 12% 22% 24% 32% 35% 37% The given table shows the marginal tax rates for single taxable income tax brackets in the year 2018. The marginal tax rate refers to the tax rate that applies to the next additional dollar of income. It is essential to know the marginal tax rate for the calculation of the tax bill. Now, we have to select the appropriate marginal tax rate for each individual.
Teacher -Taxable Income = $40,259. The appropriate marginal tax rate for the teacher is 12%. The income of the teacher falls in the taxable income bracket of $38,701 to $82,500, and the marginal tax rate is 12%.
Pediatrician - Taxable Income = $194,680. The appropriate marginal tax rate for the pediatrician is 35%. The income of the pediatrician falls in the taxable income bracket of $157,501 to $200,000, and the marginal tax rate is 35%.
Mathematician - Taxable Income = $93,810. The appropriate marginal tax rate for the mathematician is 24%. The income of the mathematician falls in the taxable income bracket of $82,501 to $157,500, and the marginal tax rate is 24%.
Registered Nurse - Taxable Income = $55,350. The appropriate marginal tax rate for the registered nurse is 22%. The income of the registered nurse falls in the taxable income bracket of $38,701 to $82,500, and the marginal tax rate is 22%.
Thus, the appropriate marginal tax rate for each individual is as follows: Individual Taxable Income Marginal Tax Rate Teacher $40,259 12% Pediatrician $194,680 35% Mathematician $93,810 24% Registered Nurse $55,350 22%In summary, the marginal tax rate refers to the tax rate that applies to the next additional dollar of income. It is essential to know the marginal tax rate for the calculation of the tax bill. The appropriate marginal tax rate for each individual depends on their taxable income and taxable income bracket. The given table shows the marginal tax rates for single taxable income tax brackets in the year 2018.
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7 divided by what equals 56?
Answer:
the answer is 8 very easy and very simple have a great
day ☺️
Write the rational numbers as a decimal:
7/8
1/1
-7/9
-17/40
1 and 5/6
-2 and 17/18
-5 and 7/12
8 and 15/22
Answer:
7.8
-7.9
-17.40
1. 5.6
-2. 17.18
-5. 7.12
.8 15.22
Step-by-step explanation:
Which equation is translated 5 units up from f(x) = 3^x
The parent exponential function is the following:
\(f(x)=b^x\), where b is the base.
We can apply many different types of transformations to this function:
\(g(x)=a*b^{k(x-d)}+c\)
a ⇒ describes vertical stretchk ⇒ describes horizontal stretchd ⇒ describes horizontal translationc ⇒ describes vertical translationSolving the QuestionIn this question, we are working with vertical translation.
When a function is translated up, c is positive.When a function is translated down, c is negative.We are translating the given function \(f(x)=3^x\) 5 units up. This means that we will be adding 5 to the function:
\(g(x)=3^x+5\)
Answera. \(g(x)=3^x+5\)
Dad is getting food ready for my birthday party! Including me, there will be 47 people at the party. Dad is baking cupcakes for us! He can bake 12 cupcakes per batch. How many batches should I tell Dad to make so we can each have 4 cupcakes?
Answer:
4
Step-by-step explanation:
school
what is 234 divided by 21 plz help
Answer:
11 r 3
Step-by-step explanation:
I think this the answer not too. Hope this helps u.
QUESTION 1 1. The Geography club at a school collected empty cans of soft drinks for recycling for a period 20 school days. The number of cans collected was recorded and the data is given below: 48 50 52 59 60 68 73 76 76 76 78 79 80 81 82 82 84 91 92 98 1.1.calculate the average nunmber of the cans collected
1.2. Calculate the average number of the cans collected. Determine the median number of cans collected. Determine the lower and the upper quartiles. 1.3. 1.4. Represent the data in a box and whisker diagram. 1.5. Determine the range of the data. C ( au table underne
Answer:
Step-by-step explanation:
In the coordinate plane, which of the following functions dilates by a factor of 3
about the point (9, 6)?
A. (, ) = (3 + 9, 3 +6)
B. (, ) = (3( + 9), 3( + 6))
C. (, ) = (9+ 3( − 9), 6 + 3( −6))
D. (, ) = (9+ 3(9− ), 6+ 3(6 − ))
Geometry please help!!!!!!! 20 Points show your work!! Please
Answer:
x ≈ 5.6
Step-by-step explanation:
given 2 secants drawn from an external point to the circle , then
the product of one secant's external part and that entire secant is equal to the product of the other secant's external part and that entire secant, that is
17(17 + x) = 12(12 + 20)
289 + 17x = 12 × 32 = 384 ( subtract 289 from both sides )
17x = 95 ( divide both sides by 17 )
x ≈ 5.6 ( to the nearest tenth )
PLEASE HELP ME!! An eagle eats 6 pounds of food every 8 days.How long does it take the eagle to eat 90 pounds of food
Answer:
15 days
Step-by-step explanation:
8 days equals 48 pounds of foods. 48 times 2 will be 96 and that equals 16 days. Subtract 6 from 96 and you get 90 but you have to subtract a day as well.
Answer:
120 days
Step-by-step explanation:
6/8 = 0.75 meaning the eagle eats 0.75 pounds of food every day.
90/0.75=120 days
2. Work in nominal dollars to find the future value of this account, and then find the value in today's dollars. Enter the value in today's dollars as your answer.
Suppose you deposit $3,250 per year into a Roth IRA, increasing your deposits by 3% each year. You keep this up for 30 years. Your account earns 10% and the inflation rate is 3%. Find the value in today's dollars of what your account grows to.
Therefore, the value in today's dollars of what the account grows to is approximately $187,675.13.
What is interest?Interest is the cost of borrowing money or the compensation paid by a financial institution to an individual or entity for depositing money. When someone borrows money, they are typically charged interest by the lender in addition to repaying the principal amount of the loan. The interest rate is expressed as a percentage of the principal and is typically calculated on an annual basis, although it can be calculated over shorter or longer periods depending on the terms of the loan or investment. Interest can be simple, where it is calculated only on the principal amount, or compound, where it is calculated on both the principal and any accumulated interest. In addition to loans and investments, interest can also be applied to credit card balances, mortgages, and other financial transactions.
Here,
To find the future value of the account, we can use the formula:
FV = Pmt x (((1 + r)ⁿ⁻¹) / r) + PV x (1 + r)ⁿ
where:
Pmt = annual payment or deposit
= $3,250
r = annual interest rate
= 10%
n = number of years
= 30
PV = present value
= 0 (assuming the account has no initial balance)
Using this formula, we get:
FV = $3,250 x (((1 + 0.10)³⁰ - 1) / 0.10) + 0 x (1 + 0.10)³⁰
= $405,093.35
This is the future value of the account in nominal dollars.
To find the value in today's dollars, we need to adjust for inflation. We can use the formula:
PV = FV / (1 + i)ⁿ
where:
i = inflation rate = 3%
Using this formula, we get:
PV = $405,093.35 / (1 + 0.03)³⁰
= $187,675.13
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you are repeatedly flipping a fair coin. what is the expected number of flips until the first time that your previous 2012 flips are htht ...?you are repeatedly flipping a fair coin. what is the expected number of flips until the first time that your previous 2012 flips are htht ...?
The expected number of flips until the first time that your previous 2012 flips are htht is 4096. Since each flip has a 50/50 chance of being heads or tails, the probability of getting htht is 1/4096. So, the expected number of flips until the first time that your previous 2012 flips are htht is 4096.
The expected number of flips until the first time that your previous 2012 flips are htht is 4096. This is because each flip has a 50/50 chance of being heads or tails, so the probability of getting htht on the first try is 1/4096. Since the probability of getting htht on the first try is 1/4096, the expected number of flips until the first time that your previous 2012 flips are htht is 4096. To calculate this, we use the formula E(x) = n * p, where E is the expected number of flips, n is the number of flips, and p is the probability of getting htht. In this case, we would plug in n=2012 and p=1/4096, so E(x) = 2012 * (1/4096) = 4096. Therefore, the expected number of flips until the first time that your previous 2012 flips are htht is 4096.
E(x) = n * p
E(x) = 2012 * (1/4096)
E(x) = 4096
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A Gaussian wave has the form ψ(x,t)=Ae
−a(bx+c)
2
. Use the fact that ψ(x,t)=f(x
=vt) to determine its speed and then verify your answer using Eq. (
The speed of the Gaussian wave, ψ(x,t) = \(Ae^{-a(bx+c)^2}\), can be determined by relating it to the function f(x-vt) and comparing the corresponding terms. By comparing the exponents of x and t, we can identify the speed of the wave.
To determine the speed, we set x-vt = bx+c, which represents the wave moving with velocity v. By solving this equation for v, we can find the speed of the wave.
Now, let's verify this answer using the equation ψ(x,t) = f(x-vt). Plugging in the given expression for ψ(x,t) and substituting \(x = bx' + c\) and \(t = t'\), we obtain:
\(Ae^{-a(bx'+c)^2} = f((b-av)t')\)
By comparing the exponents of x' and t', we can conclude that b-av represents the speed of the wave. Therefore, the speed of the Gaussian wave is v = b/a.
By confirming that the speed of the wave is v = b/a using the equation ψ(x,t) = f(x-vt), we have verified our answer.
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Brainliest what is 2+2=
Answer:
2+2=4.
Step-by-step explanation:
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What does rational and irrational mean?
Answer:
below
Step-by-step explanation:
Rational means a number with a decimal that does not go on forever or a decimal that can written as a fraction.
An irrational number is a number that cannot be written as a fraction and the decimal goes on forever.
Best of Luck!
What value of m would make parallelogram wxyz a square.
To make parallelogram WXYZ a square, the value of m should be 90 degrees.
A square is a special type of parallelogram in which all angles are right angles (90 degrees). In a parallelogram, opposite angles are congruent, which means they have the same measure. To transform the parallelogram WXYZ into a square, we need to make sure that all angles of the parallelogram are right angles.
By setting m = 90 degrees, we ensure that all four angles of parallelogram WXYZ are right angles. This condition will make the parallelogram into a square. A square has congruent sides and diagonals that bisect each other at right angles.
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the event containing the outcomes belonging to a or b or both is the __________ of a and b.
The event containing the outcomes belonging to a or b or both is the union of a and b.
Let us consider two sets a and b, and say events or the elements in set a are: (x, y, z), and the elements in set b are: (o, p, q)
The union of these two sets will give:
aUb=(x, y, z, o, p, q)
Now, a union of two sets (denoted by U), for our case a and b, is the set or event containing the elements belonging to a or b or both the elements in a and b altogether.
Thus, the even containing the outcomes belonging to a or b or both in a and b altogether is the union of a and b.
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solve t^2y'+2ty-y^3=0
The general solution to the given differential equation is
y = ± √(1 / (2ln|t| + 4/t - C2))
Solution to the differential equationTo solve the given differential equation, we can use the method of separable variables. Let's go through the steps:
Rearrange the equation to separate the variables:
t^2y' + 2ty - y^3 = 0
Divide both sides of the equation by t^2:
y' + (2y/t) - (y^3/t^2) = 0
Now, we can rewrite the equation as:
y' + (2y/t) = (y^3/t^2)
Separate the variables by moving the y-related terms to one side and the t-related terms to the other side:
(1/y^3)dy = (1/t - 2/t^2)dt
Integrate both sides of the equation:
∫(1/y^3)dy = ∫(1/t - 2/t^2)dt
To integrate the left side, let's use a substitution. Let u = y^(-2), then du = -2y^(-3)dy.
-1/2 ∫du = ∫(1/t - 2/t^2)dt
-1/2 u = ln|t| + 2/t + C1
-1/2 (y^(-2)) = ln|t| + 2/t + C1
Multiply through by -2:
y^(-2) = -2ln|t| - 4/t + C2
Now, take the reciprocal of both sides to solve for y:
y^2 = (-1) / (-2ln|t| - 4/t + C2)
y^2 = 1 / (2ln|t| + 4/t - C2)
Finally, taking the square root:
y = ± √(1 / (2ln|t| + 4/t - C2))
Therefore, the general solution to the given differential equation is:
y = ± √(1 / (2ln|t| + 4/t - C2))
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Given the following information, calculate the product cot per unit. Direct material = $28,000 Direct labor = $42,000. Overhead application rate = $15 per direct labor hour. Direct labor hour = 5,200. Unit product = 7,400. Product cot per unit = $
The product cost per unit is $53.30 along the rims and $28.29 along the posts.
What does the mean cost mean in math?The average cost price is the quantity as an arithmetic average of the average amount. Average or mean is defined as the product of the total number of data given and the total number of data given. We have the cost of the goods and the overall quantity of goods or products provided when determining average cost pricing.
How do you find the cost in math?Cost price, for instance, equals selling price plus profit. Cost is equal to Selling price plus Loss. Cost price = 100 Selling Price + 100 + Profit (when the Selling Price and Profit Percentage are given)
According to the above questions :-
Direct Materials rims $20
Direct Labour rims $12
Overhead $21.30
Total cost is $53.30
Direct Materials posts $18
Direct Labour posts $6
Overhead $4.29
Total cost is $28.29
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What is the answer to this question? (4x) + (x-5)
The answer is to the problem is 5x-5
Jack walks onto an elevator at floor level 2. The elevator goes up 3 floors, down 8 floors, and back up 11 floors. What floor is Jack on now?
An IQ test is designed so that the mean is 100 and the standard deviation is 8 for the population of normal adults. Find the sample size necessary to estimate
To find the sample size necessary to estimate, we need to determine the level of precision we desire in our estimate. Let's assume we want a 95% confidence interval with a margin of error of 2.
Using the formula for sample size calculation with a normal distribution, we have: n = (Zα/2)^2 * σ^2 / E^2
Where:
- Zα/2 is the critical value of the standard normal distribution at the desired level of confidence (1.96 for 95% confidence)
- σ is the population standard deviation (8)
- E is the desired margin of error (2)
Plugging in these values, we get: n = (1.96)^2 * 8^2 / 2^2
n = 61.52, Rounding up, we need a sample size of at least 62 individuals to estimate the population mean IQ with a 95% confidence interval and a margin of error of 2.
To estimate the sample size necessary for a given level of accuracy, you can use the following formula: n = (Z^2 * σ^2) / E^2, Where: - n is the sample size, - Z is the Z-score associated with the desired level of confidence (e.g., 1.96 for a 95% confidence interval).
- σ is the standard deviation (in this case, 8)
- E is the margin of error (the allowable difference between the true population mean and the sample mean)
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Draw a line representing the "rise" and a line
representing the "run" of the line. State the
slope of the line in simplest form.
Click twice to plot each segment.
Click a segment to delete it.
-10 -9 -8 -7 -6 -5 -4 -3
-2
-1
y
10
9
8
7
6
5
4
3
2
1
-1
-2
ỗ có có ý ới ơi Á có nó
4
-5
-6
-8
-9
-10
1
2
3
45
6
78
9
10
·x
Answer:
Step-by-step explanation:
rise is up and run is over.
The first number would be y and the second number would be x
and x is run
y is rise.
only need help on 10!
Answer:
median 6.5
mean 6.166
range 6
Step-by-step explanation: