Answer:
3.42857143
Step-by-step explanation:
You multiply 4/7 by 6 to isolate the variable
Answer:
3 3/7 or 24/7
As a decimal: 3.42857143
Step-by-step explanation:
Rewrite the proportion:
4/7 = x/6
Multiply both sides by 6 to isolate x:
(4/7) * 6 = x
Multiply 4 and 6, 7 is multiplied by 1 since 6 = 6/1:
x = 24/7
Rewrite as mixed number:
7 * 3 = 21
24 - 21 = 3
x = 3 3/7
Brainliest, please :) (Hoping to become a genius)
c. When we add together the PPV and the false discovery rate for any test, why is the sum always 100%? c. When we add together the PPV and the false discovery rate for any test, why is the sum always 100%?
The inference is that the sum of the PPV and the false discovery rate for any test is always 100% because they complement each other.
How to illustrate the information?When we add together the PPV and the false discovery rate for any test, the sum is always 100%.
It should be noted that the false discovery rate is the complement of the positive predicate value. The addition of their probability gives 100%.
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Select the correct answer.
Which equation represents the measure of the unknown angles?
C
E
D
Xº
A.
B.
50°
C.
(x+10)
F
x + x + 10 =
= 130°
x + 10 = 180°
x+10= 130°
D. x + x + 10 = 180°
Step-by-step explanation:
x+x+10+50=180
2x+60=180
2x=180-60
2x=120
x=120/2
x=60
Using Figure A above name three obtuse angles.
O MOL, NOK, MOJ
O MOK, NOK, MOJ
O MOL, NOJ, MOJ
Obtuse angle means its degree is greater than 90° but smaller than 180°.
< MOK exists 180°
< NOJ exists 90°
What is Obtuse Angle?
An obtuse angle exists a kind of angle that is always larger than 90° but less than 180°. In other words, it lies between 90° and 180°.
It exists not equivalent to 90° and 180°.
Because if obtuse angle equal to 90 degree it exists "Right angle'
If obtuse angle equal to 180 degree it exists 'Straight Angle'.
Obtuse angle means its degree is greater than 90° but smaller than 180°.
< MOK exists 180°
< NOJ exists 90°
Therefore, the correct answer is option a) MOL, NOK, MOJ.
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Answer:
Step-by-step explanation:
using figure a above name two right angles
Brandon enters bike races. He bikes 91 half miles every1 half hour. Complete the table to find how far Brandon bikes for each time interval.
Help,
Using proportions, it is found that he bikes:
19 miles in one hour.28.5 miles in one and a hour.38 miles in two hours.47.5 miles in two and a hours.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In this problem, the proportion is that he bikes 9.5 miles each half hour, hence:
In one hour, he bikes 2 x 9.5 = 19 miles.In one and a half hour, he bikes 3 x 9.5 = 28.5 miles.In two hours, 4 x 9.5 = 38 miles.In two and a half hours, he bikes 5 x 9.5 = 47.5 miles.More can be learned about proportions at https://brainly.com/question/24372153
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9e-6(-2e+7)= please help me solve this problem
[tex]\bold{Answer:} \small\boxed{21e-42}[/tex]
Step-by-step explanation:
[tex]To\ solve\ : \ 9e-6(-2e+7)[/tex]
we first must use the distributive property. You can think about solving this like this:
[tex]=9e-(6)(-2e+7)[/tex]
Notice how we are not distributing -6, but only 6. Now we can solve normally:
[tex]=9e-(-12e+42)[/tex]
Now we distribute the '-' sign to the terms in parenthesis.
[tex]=9e+12e-42[/tex]
[tex]\longrightarrow \large\boxed{21e-42}[/tex]
The decimal form is 15.08 rounded.
Please help me asap!
Answer:
Angle CGB is an acute angle because it's less than 90°
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
Angles having measure less than 90° are considered as Acute angles.
in the given figure,
The Acute angle is :
[tex]{ \sf \angle CGB} [/tex]Perdue Company purchased equipment on October 1 for $36,100. The equipment was expected to have a useful life of three years, or 4,900 operating hours, and a residual value of $1,800. The equipment was used for 900 hours during Year 1, 1,700 hours in Year 2, 1,500 hours in Year 3, and 800 hours in Year 4.
Required: Round up all final values
Straight line Method
Under the straight-line depreciation method, the depreciation expenses for the years ended December 31, Year 1, Year 2, Year 3, and Year 4, for Perdue Company, are as follows:
Year Amount
Year 1 $2,858.33 ($11,4333.33 x 3/12)
Year 2 $11,433.33
Year 3 $11,433.33
Year 4 $8,575.01 ($11,433.34 - $2,858.33)
What is the straight-line depreciation method?The straight-line method is one of the depreciation methods in use by companies to allocate the cost of plants and equipment over their useful lives.
Under the straight-line method, the depreciable amount (cost less residual value) is divided by the estimated useful life.
Other depreciation methods include the unit-of-production, double-declining-balance, and the sum-of-the-years-digit methods.
Data and Calculations:Equipment cost = $36,100
Residual value = $1,800
Depreciable amount = $34,300 ($36,100 - $1,800)
Estimated useful life = 3 years
Annual depreciation = $11,433.33 ($34,300/3)
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Question Completion:Determine the amount of depreciation expense for the years ended December 31, Year 1, Year 2, Year 3, and Year 4, by the straight-line method.
Karin has 13 coins (2 quarters, 6 dimes, 4 nickels, and 1 penny) in a piggy bank. She turns the bank
upside down and shakes the bank until a coin falls out, puts it aside, and the shakes until another coin
falls out.
What is the probability that the first coin is a nickel and the second coin is a quarter?
Select one:
OOO O
2 63 23
39
01/3
118
Using it's concept, the probability that the first coin is a nickel and the second coin is a quarter is: 2/39.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Hence:
For the first coin, out of 13 coins, 4 are nickels, hence the probability is 4/13.For the second coin, considering that a nickel was taken first, 2 out of 12 coins will be quarters, hence the probability is 2/12 = 1/6.Then the probability for both coins is:
p = 4/13 x 1/6 = 4/78 = 2/39
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The test scores of 15 students are listed below. Find the third decile, D3.
41, 45, 51, 57,59, 62,66,69, 75,78, 85,87,90,94,95
The third decile is 58.
What is the third decile?Decile is a statistical term that divides the data into groups of ten. The third decile is the third group of the data set.
Third decile = 3/10 x (n + 1 )
3/10 x 16 = 4.8th term = 58
Solve for x. Enter the solutions from least to greatest.
Round to two decimal places.
(x+3)²-3=0
lesser x =
greater x =
You might need: Calculator
Show Calculator
pls helpp!
Answer: -4.73, -1.27
Step-by-step explanation:
[tex](x+3)^2 =3\\\\x+3=\pm \sqrt3\\\\\\x=-3 \pm \sqrt3\\\\x \approx -4.73, -1.27[/tex]
Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x + 9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9
The required steps are
2x^2 + 12x – 3 = 0.
2x2 + 12x = 3
2(x^2+6x) = 3
2[(x+3)^2 - 9] = 3
Completing the square methodQuadratic equations are equations that has a leading degree of 2
Given the equation below;
2x^2 + 12x – 3 = 0.
Add 3 to both sides
2x2 + 12x = 3
Factor out 2
2(x^2+6x) = 3
Complete the square
2(x^2+6x+3^2-3^2) = 3
2[(x+3)^2 - 9] = 3
This gives the required steps to solve the equation
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Hey guys I need some help with this question so if anyone could help that would be great THANK YOU!!
The left hand derivative of the given function comes out to be 3a² + 3ah + h².
Deducing the Left Derivative:
The given function is,
f(x) = x³ + 2
⇒ f(a) = a³ + 2
The left hand limit is the definition of the left-hand derivative of f: f′⁻(x) = [tex]lim_{h- > 0}[/tex]f(x+h)f(x)h. F is said to be left-hand differentiable at x if the left-hand derivative exists.
Now, the formula for the left derivative of a function is given as,
f'(a)⁻ = [ f(a+h) - f(a) ] / [ (a+h) - a]
f'(a)⁻ = [ ((a+h)³ + 2) - (a³+2) ] / h
f'(a)⁻ = (a³ + 3a²h + 3ah² + h³ + 2 - a³ - 2) / h
f'(a)⁻ = (3a²h + 3ah² + h³) / h
f'(a)⁻ = h(3a² + 3ah + h²) / h
f'(a)⁻ = 3a² + 3ah + h²
Hence, the left derivative is 3a² + 3ah + h².
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The graph of a cosine function has an amplitude of 5, a vertical shift of −1, and a period of 4. These are the only transformations of the parent function.
Use the Sine tool to graph the function.
The first point must be on the midline, and the second point must be a maximum or minimum value on the graph closest to the first point.
See attachment for the graph of the cosine function f(x) = 5 cos(π/2x) - 1
How to graph the cosine function?From the question, the given parameters are:
Amplitude, A = 5
Vertical shift, D = -1
Period, T = 4
A cosine function is represented as:
f(x) = A cos(B(x + C)) + D
Where
Amplitude = A
Period = T
Horizontal shift = C
Vertical shift = D
Since the horizontal shift is not stated in the question, we can assume that the horizontal shift is 0
i.e. C = 0
So, the equation of the cosine function becomes
f(x) = A cos(Bx) + D
Calculate the value of B using
B = 2π/T
So, we have:
B = 2π/4
Evaluate
B = π/2
So, we have:
f(x) = A cos(π/2x) + D
Substitute the known values of A and D in the above equation
f(x) = 5 cos(π/2x) - 1
Next, we plot the graph of the cosine function on a graphing tool
See attachment for the graph of the cosine function f(x) = 5 cos(π/2x) - 1
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If f(x) =
(3+x)
(x-3)
what is f(a + 2)?
We have f(x)=(3+x)(x-3)=3x-9+x²-3x=x²-9
So f(a+2)=(a+2)²-9=a²+4a+4-9=a²+4a-5
Which expression has a conflict of 10 and a constant of5
The expression that has a coefficient of 10 and constant of 5 is 10x + 5.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
A coefficient is a number or any symbol representing a constant value that is multiplied by a variable. A constant is a value or number that never changes in expression.
The expression that has a coefficient of 10 and constant of 5 is 10x + 5.
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2×7×7-3×3×3×2+3×2×2-6×6
I need an answer
Answer:
98-54+12-36
110-54-36
56-36
20Ans
Solve the system. 9=4x-2y 2x+6=y
Step-by-step explanation:
4x-2y = 9 ...1
2x-y = -6 ...2
if ...2 × 2
4x-2y = -12
9 is not equal to -12
PLS HELP
Which functions have a range of {y e R-00 < y < 00}?
O f(x)
2x+3
Of(x) = x - 8
O f(x) = x² + 7x - 9
O f(x) = -4x + 11
O f(x) = -(x + 1)² - 4
=
Answer:
[tex]\displaystyle{1.) \ \ f(x) = \dfrac{2}{3}x-8}\\\\\displaystyle{2.) \ \ f(x) = -4x+11}[/tex]
Step-by-step explanation:
- Range is a set of all y-values in a set of coordinate points.
A linear equation or function always have range equal to set of real number because you can substitute f(x) as any numbers and you'll still be able to solve for x-variable.
An quadratic equation or function may have range equal to set of positive real number or negative real number depending whether if the coefficient of x² is in positive or negative but consider this:
Suppose we have f(x) = x², f(x) cannot be negative number because that'd make the equation not real. Therefore, a quadratic function does not have [tex]\displaystyle{\mathbb{R}}[/tex] range.
For an exponential function, it's same as quadratic equation. It depends whether if a base is in negative or positive. You can consider like this:
Suppose we have [tex]\displaystyle{f(x)=2^x}[/tex], f(x) cannot be negative number because there are no x-values that make the equation true. Therefore, an exponential function does not have [tex]\displaystyle{\mathbb{R}}[/tex] range as well.
need heeeelp please
Answer:
Initial population: 222 fish
After 7 years: 871 fish
Step-by-step explanation:
Initial population size:
Let t=0
∴P(0)=[tex]\frac{2000}{1+8e^0}[/tex]
=[tex]\frac{2000}{1+8}[/tex]
=[tex]\frac{2000}{9}[/tex]
=222 fish
After 7 years:
Let t=7
∴P(7)=871 fish
Colby needs to wash the windows on the second floor of a building.
He only has a 12 ft ladder and because of dense shrubbery, he hasto put the base of the ladder 5 feet from the building. How many feet above the ground would the windows need to be in order for Colby to reach them with his 12 ft ladder?
If the length of ladder is 12 feet then the height of windows from the ground is 10.91 feet.
Given that the length of ladder is 12 feet and the base is 5 feet.
We are required to find the height of the windows from the ground.
When we graph all the things like ladder and all that we will get a right angled triangle.
We can find the height of window by using pythagoras theorem.
Pythagoras theorem says that the square of the hypotenuse is equal to sum of squares of base and perpendicular of right angled triangle.
[tex]H^{2} =P^{2} +B^{2}[/tex]
P=[tex]\sqrt{H^{2} -B^{2} }[/tex]
Height of wall=[tex]\sqrt{12^{2} -5^{2} }[/tex]
=[tex]\sqrt{144-25}[/tex]
=[tex]\sqrt{119}[/tex]
=10.908
After rounding off it will be 10.91 feet.
Hence if the length of ladder is 12 feet then the height of windows from the ground is 10.91 feet.
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Please solve this now. Everything is attached in the file. You need to provide a full solution. Thanks
Based on the requirements for FICA and Medicare tax, the amount to be withheld in March for FiCA is $685.10 and for Medicare is $160.23.
The amount to be withheld in December of FICA is $523.90 and for Medicare is $160.23.
How much is to be withheld for FICA?In March, the amount to be withheld is:
= 11,050 x 6.2%
= $685.10
To find out the amount withheld in December, find out the earnings up to that point:
= 11,050 x 12
= $132,600
FICA can only be withheld on the first $130,000 so the amount of FICA In December is:
= 6.2% x ( 11,050 - (132,600 - 130,000))
= $523.90
What amount will be withheld for Medicare?The amount will be the same for both March and December as Medicare is for all earnings:
= 11,050 x 1.45%
= $160.23
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Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
-2/3p+ 1/5 -1+ 5/6p
Answer:
1/6 p - 4/5 or -4/5 + 1/6p They both mean the same thing.
Step-by-step explanation:
You have two sets of like terms. You have 2 terms that have the variable p as part of the term and you have 2 terms with no variable that are called constants.
-2/3p + 5/6p Are two terms that you want to combine. We need common denominators to add. The common denominator would be 6, so we will make an equivalent fraction with -2/3 with 6 as the denominator.
-2/3 = -4/6 We just multiple the top (numerator) and the bottom (denominator of the first fraction (-2/3) by 2 to the get the second faction (-4/6). Now we can add the 2 terms with p together.
-4/6p + 5/6p The denominators stays the same (6) and we add the numerators -4 + 5 = 1, So our p term is 1/6p
Now we have to combine the constant terms of 1/5 and - 1. Another name for -1 is 5/5. We are going to use this form so that our denominators are the same.
1/5 - 5/5 = -4/5
Jen opened a savings account at the bank. The amounts of her first 3 deposits are shown below:
• Deposit 1: $325
• Deposit 2: $280
• Deposit 3: $480
• Deposit 4: ?
How much does she need in the fourth deposit so that her average deposit is $365?
Answer:$375
Step-by-step explanation: To find the average, we need to add all of the numbers up and divide by the number of numbers in the set. Since there are 4 deposits, to get an average of #365, Jen needs to have deposited 365x4 = $1460 in total. Now, it is pretty easy to find the answer. We add up her 3 deposits: 325+280+480 = $1085 and see that it is still $375(1460 - 1085) short. So, Jen needs to deposit $375 on her fourth deposit to have an average of $365.
which statements are true
The true statements are;
-Both graphs are logarithmic functions
-Both graphs have been shifted and flipped (B and D).
What is a graph?A graph is a plot of information on the cartesian coordinates. The function is plotted on an x - y cartesian plane. Given the nature of function, we can understand the shape of the graph as shown.
In this case, the graph shows a flipped logarithmic function. As such, the following are true about the function;
-Both graphs are logarithmic functions
-Both graphs have been shifted and flipped
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can someone answer this?
Step-by-step explanation:
f(x)=-3x+4
f(a)= -3a +4
So,
2f(a)= f(a) + f(a)
=(-3a +4) +(-3a + 4)
=-3a + 4 -3a - 4
=-6a
f(2a)=2(-3a + 4)
=-6a +8
f(a+2)=(-3a + 4) + 2
= -3a +4 +2
= -3a + 6
f(a) + f(2)= -3a +1+5
because, f(2)= -3(2)+1
=-6+1
=5
and f(a)= -3a+1
Kevin is filing his return under the single status. His taxable income is $125,500 per year. What tax bracket would he be in?
Since Kevin is filing his tax return under the single status, he would be in the tax bracket of $86,376 to $164,925 with a marginal tax rate of 24%.
What is a tax bracket?Under the progressive tax system, a tax bracket is a range of taxable incomes that is subject to a marginal tax rate.
Tax brackets provide a systematic way of progressively taxing taxpayers' income.
Data and Calculations:Taxable income = $125,500
Since he falls under the tax bracket of $86,376 to $164,925, Kevin's tax rate is 24%.
Thus, as a single taxpayer, Kevin falls under the tax bracket of $86,376 to $164,925 with a marginal tax rate of 24% of taxable income.
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Question Completion:Personal Income Tax Brackets for Single Filers:
Tax rate Taxable income bracket Tax owed
10% $0 to $9,950 10% of taxable income
12% $9,951 to $40,525 $995 plus 12% of the amount over $9,950
22% $40,526 to $86,375 $4,664 plus 22% of the amount over $40,525
24% $86,376 to $164,925 $14,751 plus 24% of the amount over $86,375
The volume of a sphere is 144π. What is its Surface Area to the nearest whole number?
If f(x) = -1x + 1and g(x) = x4, what is (f º g)(x)?
Answer:
(f º g) = [tex]-x^4+1[/tex]
Step-by-step explanation:
So it's important to note that the notation: "(f º g)" isn't f(x) * g(x), it's a composite function, where you essentially have two functions, with one of the functions being the argument of one of the functions.
This means we can plug in the function g(x) as x into the function f. So let's do that
Original Function:
f(x) = -1x + 1
Plug in x^4 (this is the value of g(x)) as x into the function
f(g(x)) = [tex]-(x^4)+1[/tex]
Distribute the negative sign
f(g(x)) = [tex]-x^4+1[/tex]
Amanda rented a bike from Ted's Bikes.
It costs $10 for the helmet plus $4.25 per hour.
If Amanda paid about $33.38, how many hours did she rent the bike?
a) Let h = the number of hours she rented the bike. Write the equation you would use to solve this problem.
Answer:
5.5 hours
Step-by-step explanation:
I am going to assume that a helmet is necessary prerequisite for renting the bike.
I also am assuming that the hourly rate can be turned into a sub hourly rate if the full hour isn’t used.
10+4.25h=33.38
4.25h=23.38
h=23.38/4.25
h=5.5
Ama and her son Brandon's average age is currently 36 years. When Brandon was born, Ama was 34 years old. How old is Brandon now?
If Ama and her son Brandon's average age is currently 36 years. then
Brandon's age is 38 years.
What is Equation?Two or more expressions with an equal sign is called as Equation.
Let the Brandon age be x
Ama was 34 years old
Ama and her son Brandon's average age is currently 36 years
(34 + x)/2= 36
Use cross multiplication
34 + x = 72
x=72-34
x = 38
So Brandon's average age is 38.
Hence Brandon is 38 years old.
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