7/3 4/2 as improper fraction

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 :

Answer:

All real numbers greater than or equal to 5

Step-by-step explanation:

The range of y=|x| is all real numbers greater than or equal to 0. Adding 5 to this makes the range all real numbers greater than or equal to 5.

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.

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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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

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%.

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.

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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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

Elena's height in centimeters is 142.24 cm.

Elena's height in meters is 1.42 meters.

The mathematical operations that would be used to determine the answers ae division and multiplication.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Multiplication is the operation that is used to determine the product of two or more numbers.

In order to determine the height in centimeters, first determine how many cenitmeters make 1 inch

1 inch = 254 / 100

1 inch = 2.54 cm

Now, convert 56 inches to cm : 56 inches x 2.54 = 142.24 cm

In order to determine the height in meters, first find the unit of conversion of inches to meters

1 inch = 0.0254 meters

0.0254 x 56 = 1.42 meters

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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)

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.

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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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.

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

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

Let's consider the information given:

Let's setup an equation for the cost

             [tex]\hookrightarrow Cost = 30 + 0.3x[/tex]

             [tex]30 + 0.3x = 55.2\\0.3x = 25.2\\x=84[/tex]

Ken must have traveled 84 miles

Answer: 84 miles

Hope that helps!

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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

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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A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

The test statistic can be calculated by using this formula:

[tex]t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }[/tex]

Where:

For this clinical trial (study), we should use a t-test and the null and alternative hypotheses would be given by:

H₀: μ = 7

H₀: μ ≠ 7

Next, we would calculate the t-test as follows:

[tex]t=\frac{7.08\;-\;7}{\frac{0.25}{\sqrt{14} } }\\\\t=\frac{0.08}{\frac{0.25}{3.7417 } }[/tex]

t = 0.08/0.0668

t = 1.198.

For the p-value, we have:

P-value = P(t < 1.198)

P-value = 0.1262.

Therefore, the p-value (0.1262) is greater than α = 0.10. Based on this, we should fail to reject the null hypothesis.

In conclusion, yes the mean discharge differs from 7 fluid ounces.

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The two integers are are mathematically given as

x=3.70

y=13.7

Generally, the equation for the two integers is mathematically given as

x + 10 = y

1/x + 2/y = 2/3

Substitute

1/x + 2/x+10 = 2/3

Multiply by 3

3/x + 6/x + 10 = 2

Multiply by x

2 + 6x/x + 10 = 2x

Multiply by x + 3

2(x + 10) + 6x = 2x(x + 3)

2x+20+6x=2x^2+6x

-2x^2+2x+20=0

x=3.70

hence y

x + 10 = y

3.70+ 10 = y

y=13.7

In conclusion,  the two integers are

x=3.70

y=13.7

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a) 88 degrees

b) 44 degrees

Answer:

correct

Step-by-step explanation:

dividing both quantities in a ratio by the same non zero number does indeed find an equivalent ratio.

for example

60 : 36 ( divide both parts by 6 )

= 10 : 6 ← equivalent ratio ( divide both parts by 2 )

= 5 : 3 ← equivalent ratio in simplest form

in fact dividing the original by the HCF of the 2 quantities gives the ratio in simplest form immediately , that is

60 : 36 ( divide both parts by 12 )

= 5 : 3

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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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.

Step-by-step explanation:

4x-2y = 9 ...1

2x-y = -6 ...2

if ...2 × 2

4x-2y = -12

9 is not equal to -12

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]

a. Applying the angle of intersecting chord theorem, m∠AEB = 57°.

b. Applying the , angle of intersecting tangents or secants theorem, VW = 106°.

According to the angle of intersecting chord theorem, the angle formed inside a circle (i.e. angle AEB) by two chords (i.e. AC and BD) have a measure that is equal to half of the sum of the measures of intercepted arcs AB and CD.

According to the angle of intersecting tangents or secants theorem, the angle formed outside a circle (i.e. angle VZW) have a measure that is equal to half of the positive difference of the measures of intercepted arcs XY and VW.

a. m∠AEB = 1/2(measure of arc AB + measure of arc CD) [angle of intersecting chord theorem]

Substitute

m∠AEB = 1/2(53 + 61)

m∠AEB = 57°

b. 35 = 1/2(VW - 36) [angle of intersecting tangents or secants theorem]

Multiply both sides by 2

2(35) = VW - 36

70 = VW - 36

Add 36 to both sides

70 + 36 = VW

VW = 106°

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Answer:

Step-by-step explanation:

12 + 2x + 24 = 27 + x

2x + 36 = 27 + x

x + 36 = 27

x = -9

2(-9) + 24 = -18 + 24 = 6

12 + 6 = 18

27 + (-9) = 18

Using proportions, it is found that he bikes:

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:

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Obtuse angle means its degree is greater than 90° but smaller than 180°.

< MOK exists 180°

< NOJ exists 90°

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

Answer:

(9/3) * 4 * 2

Step-by-step explanation:

:DDDD

Answer:

2(9 / 3) * 4

Step-by-step explanation:

this is one of the many ways to solve this

9/3 is 3

2 times 3 is 6

6 times 4 is 24

therefore 2(9 / 3) * 4 is 24

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.

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]

Answer:

-32x^5

Step-by-step explanation:

using binomial expression we have (1-2x)^6

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

The third decile is 58.

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