Lilly was shopping and saw the following prices on different packages of the same item

Answer:

1/4 = 3/12 = 1/12+1/12+1/12

Step-by-step explanation:

Because 1/4 equals 3/12.

Answer:

The answer is in the picture i put, its an equation so 8 can't write it

a) The value of x is 42.6 when k =16/3 is directly proportional to y.

b) The value of x is -56 when k is -7  is directly proportional to y.

What kind of variation is one where x and y are directly proportional?

x varies directly as y

x α y

x = ky

a) x=6 ; y = 32

x = ky

6 = k(32)

k = 16/3

if y = 8

then,

x = (16/3) * 8

= 128/3

x = 42.6

Hence, the value of x is 42.6 when k =16/3 is directly proportional to y.

b) x= 14 and y = -2

x = ky

14 = k(-2)

k = -7

if y = 8

then,

x = ky

x= (-7) 8

x = -56

Hence, the value of x is -56 when k is -7  is directly proportional to y.

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Carys is reviewing her tax bill for the previous year to ensure accuracy and compliance with tax regulations.

Carys checking a tax bill for the last year involves reviewing and verifying the information related to her tax obligations and payments for that specific year. This process typically includes several steps:

Gathering relevant documents: Carys would collect all the necessary documents, such as income statements (W-2 or 1099 forms), expense receipts, investment statements, and any other relevant financial documents.

Reviewing income sources: Carys would examine all the sources of income she received during the year, including employment income, self-employment income, rental income, investment income, etc. She would ensure that all income sources are accurately reported and accounted for.

Deductions and credits: Carys would assess if she is eligible for any deductions or tax credits that can reduce her taxable income or provide tax benefits. These may include deductions for expenses like mortgage interest, medical expenses, education expenses, and credits such as the Child Tax Credit or the Earned Income Tax Credit.

Calculating taxable income: Carys would determine her taxable income by subtracting eligible deductions and adjustments from her total income. This step helps in determining the portion of income that is subject to taxation.

Applying tax rates: Carys would review the applicable tax brackets and rates to calculate her income tax liability based on her taxable income. Different income levels are subject to different tax rates, and Carys would ensure she is applying the correct rates.

Checking for errors: Carys would carefully review all calculations and entries on her tax return to identify any errors or discrepancies. This includes verifying that all income, deductions, and credits are accurately reported and that the final tax liability is correctly calculated.

Filing the tax return: Once Carys is satisfied with the accuracy of her tax bill, she would file her tax return with the appropriate tax authority, such as the Internal Revenue Service (IRS) in the United States. This step involves submitting the required forms and supporting documents to report her income and claim any applicable deductions or credits.

By going through these steps, Carys can ensure that her tax bill for the last year is accurate, complete, and in compliance with the tax regulations and laws of her jurisdiction.

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I have an answer for you. This answer uses unclosed (white-center) holes to show "the value is not here" and closed (black-center) holes to show "the value is here." This step function is a "round up" of x+3, so it is exactly at y=3 at x=0.

Thank you for the Brainliest!

Answer:

Step-by-step explanation:

in an isocelles trapezoid, we have the properties:

the lower base angles are congruent

the upper base angles are congruent

we have an angle= 44

the angle #3= 44 because of the properties

so the lower base angles are equal and equal to 44

sum of the angles in trapezoid=360

360-(44*2)=360-88=272

upper base angles are equal

272/2=136

angle1=angle2=136

Answer:

Please give brainliest

Step-by-step explanation:

c

Altitude is in a polygon, a perpendicular segment from a vertex to the opposite side or to the line containing the opposite side.

In geometry, the hypotenuse is the longest side of a right-angled triangle, opposite to the right angle. It is also the side that connects the two other sides, which are called the adjacent and opposite sides.

One of the key properties of the geometric mean is that it is always less than or equal to the arithmetic mean (the regular average) of the same set of numbers, except when all the numbers are equal.

The geometric mean is used in various fields such as finance, economics, biology, and physics. It is particularly useful in situations where values are subject to compounding or exponential growth, and where small changes in values can have a significant impact over time.

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The LCD of 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) is (x+2)^2(x-2)^2(x+2)(x-2) = (x+2)^3(x-2)^3.

To find the lowest common denominator (LCD) of three fractions, we need to identify the factors of each denominator and select those factors that are common to all denominators.The given fractions are: 1/ (x+2)^2, 3/ (x-2)^2, and 4/ (x^2-4).

The first denominator (x+2)^2 can be factored using the formula for the difference of two squares. The denominator of 3/(x-2)^2 can also be factored using the formula for the difference of two squares.

Finally, the denominator of 4/(x^2-4) can be factored using the formula for the difference of two squares and the formula for the sum of two squares.

So, 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) can be rewritten as follows:1/ (x+2)^2 = A/(x+2) + B/(x+2)^2. Multiplying both sides by (x+2)^2 gives:1 = A(x+2) + B ... (1)3/ (x-2)^2 = C/(x-2) + D/(x-2)^2.

Multiplying both sides by (x-2)^2 gives:3 = C(x-2) + D ... (2)4/ (x^2-4) = E/(x-2) + F/(x+2). Multiplying both sides by (x^2-4) gives:4 = E(x-2)(x+2) + F(x+2)(x-2) ... (3)

Now, we need to solve these equations for A, B, C, D, E, and F. First, we will solve equation (1) for A and B by substituting x = -2, which gives A = -1/4. Then we will substitute x = -2 again and solve for B, which gives B = 1/4. Next, we will solve equation (2) for C and D by substituting x = 2, which gives C = 3/4.

Then we will substitute x = 2 again and solve for D, which gives D = -3/4. Finally, we will solve equation (3) for E and F by substituting x = 2 and x = -2, which gives E = 1/2 and F = 1/2.

Now, we have A = -1/4, B = 1/4, C = 3/4, D = -3/4, E = 1/2, and F = 1/2. The LCD is the product of all the factors that appear in the denominators of the fractions, each raised to the highest power that appears.

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Answer:

no

Step-by-step explanation:

here, f (x)=x^3 - 4x^2 + 3x + 7

when, factor is (x + 5)

x - a =x + 5

a = -5

Reminder= f (a)

= (-5)^3 - 4 (-5)^2 + 3×(-5) + 7

= -233

Since Reminder = -233 which is not 0 .

(x + 5) is not a factor of f (x)=x3-4x2+3x+7

We are asked to find the length of the arc on a circle

Radius = r = 12 inches

Central Angle = θ = 45°​

The arc length on a circle is given by

Let us substitute the given values of r and θ

Therefore, the arc length is found to be 3π inches.

Based on their unit rates (hourly rates), William earns $3.20 less per hour than Carson.

The unit rates can be determined as the quotients of the total earnings divided by the number of hours worked by each worker.

Total earnings in 21 hours = $451.50

The total number of hours worked = 21 hours

Hourly rate = $21.50 ($451.50 ÷ 21)

Hours (x)  Earnings (y)   Hourly Rate

   8             $146.40        $18.30 ($146.40 ÷ 8)

 32             $585.60      $18.30 ($585.60 ÷ 32)

 36             $658.80      $18.30 ($658.80 ÷ 36)

40             $732.00       $18.30 ($732.00 ÷ 40)

William's hourly rate = $18.30

Difference between Carson's and William's hourly rate = $3.20 ($21.50 - $18.30)

Thus, judging from their hourly rates, we can conclude that Carson earns more per hour than William.

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William's Earnings

Hours (x)  Earnings (y)

   8             $146.40

 32             $585.60

 36             $658.80

40             $732.00

The values of the variables in number 3, in simplest radical form, are:

f = 6;  o = 3.

The simplest radical form, also known as simplified radical form or simplified surd, refers to expressing a square root (√) or other roots in the simplest possible way without any perfect square factors in the root. In other words, it involves reducing the radical expression to its simplest form.

Solving problem 3, we would apply the necessary Trigonometric ratios to find the variables:

sin 60 = opp/hyp

sin 60 = 9√3 / f

f = 9√3 / sin 60

f = 9√3 / √3/2 [sin 60 = √3/2]

f = 9√3 * 2/√3

f = 18/3

f = 6

tan 60 = opp/adj

tan 60 = 9√3 / o

o = 9√3 / tan 60

o = 9√3 / √3 [sin 60 = √3]

o = 9√3 * 1 / √3

o = 9/3

o = 3

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Answer:

o = 9

f = 18

Step-by-step explanation:

Triangle #3 is a right triangle with two of its interior angles measuring 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, this triangle is a special 30-60-90 triangle.

The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.

In triangle #3, the longest leg is 9√3 units.

As "a√3" is the shortest leg, the scale factor "a" is 9.

The side labelled "o" is the shortest leg opposite the 30° angle. Therefore:

\(o = a=9\)

The side labelled "f" is the hypotenuse of the triangle. Therefore:

\(f= 2a = 2 \cdot 9=18\)

Therefore:

Set \(y = f^{-1}(x)\) and \(f(y) = x\)

Interchange the variables \(x\) and \(y\)

\(3y + 28 = x\\3y = x - 28\\y = \frac{x - 28}{3} \\\\f^{-1}(x) = \frac{x - 28}{3}\)

The units of R'(7) are gallons/hour/hour, or equivalent gallons/hour is 6 = 0.15 gallons per hour and  2 R(t) dt using the average Riemann sum with four equal length partitions is 383.04 gallons.

(a)  R'(7), you can use the mean rate of change formula.

R'(7) ≈ [R(10) - R(4)] / [10 - 4]

With the data from the table it looks like this:

R(10) = 11.3 gallons per hour

R(4) = 10.4 gallons per hour

For this,

R'(7) ≈ (11.3 - 10.4) / 6 = 0.15 gallons per hour

The units of R'(7) are gallons/hour/hour, or equivalent gallons/hour squared.

(b) To approximate 2 R(t) dt using the average Riemann sum with four equal length partitions, we can use

Δt = (24 - 0) / 4 = 6

2 R(t) dt ≈ 2Δt [R(1.5Δt) + R(4.5Δt) + R(7.5Δt) + R(10.5Δt)]

With the data from the table it looks like this:

R(1.5Δt) = R(4.5) = 10.4 gallons/hour

R(4.5Δt) = R(10.5) = 11.3 gallons per hour

R(7.5Δt) = R(16.5) = 10.2 gallons/hour

R(10.5Δt) = R(22.5) = 9.6 gallons per hour

For this,

2 R(t) dt ≈ 2(6) [10.4 + 11.3 + 10.2 + 9.6] = 383.04 gallons

The approximate unit of integral is the gallon. 

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Answer:

1.28

Step-by-step explanation:

We are given;

Population mean; μ = 16

Population standard deviation; σ = 3.9

Sample mean; x' = 21

Formula for z-score is;

z = (x' - μ)/σ

z = (21 - 16)/3.9

z = 1.28

Solution

We are given the following data for various wild large cats

here, n = 9

Note: Standard deviation Formula

The x - bar denotes the mean

First, we find the mean

Now we will do x - mean, we have the answers as follows

We will find their squares

The solution is the point (0, 1/6) y = 1/6

Given the equation y = (-3/4)x + 1/6, which represents a linear equation, there is no "system" of equations involved since there is only one equation.

In this case, the equation is in slope-intercept form (y = mx + b),

where m represents the slope (-3/4) and b represents the y-intercept (1/6).

The slope-intercept form allows us to determine various properties of the equation.

Since there is only one equation, the solution to this equation is a single point on the Cartesian plane.

Each pair of x and y values that satisfy the equation represents a solution.

For example, if we choose x = 0, we can substitute it into the equation to find the corresponding y value:

y = (-3/4)(0) + 1/6

y = 1/6

Therefore, the solution is the point (0, 1/6).

In summary, the given equation has a unique solution, represented by a single point on the Cartesian plane.

Any value of x plugged into the equation will yield a corresponding y value, resulting in a unique point that satisfies the equation.

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Answer:

\( y - 8 = -7(x - 6) \) or \( y - 1 = -7(x - 7) \)

Step-by-step explanation:

The point-slope form equation is \( y - b = m(x - a) \), where,

(a, b) = a point on the line.

\( m = slope = \frac{y_2 - y_1}{x_2 - x_1} \)

Given the two points, (6, 8) and (7, 1), find the slope of the line:

\( m = \frac{1 - 8}{7 - 6} \)

\( m = \frac{-7}{1} \)

\( m = -7 \)

There are two possible point-slope equation we can come up with using each points on the line given.

Using the point (6, 8) and m = -7,

Substitute m = -7, a = 6, and b = 8 into \( y - b = m(x - a) \)

\( y - 8 = -7(x - 6) \)

Using the point (7, 1) and m = -7,

Substitute m = -7, a = 7, and b = 1 into \( y - b = m(x - a) \)

\( y - 1 = -7(x - 7) \)

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

4

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

24/6 = 4

Check by taking the third term and dividing by the second term

96/24 = 4

The common ratio is 4

Answer:

1. It means that m equals 7.5

2. It means 4.5 plus s equals m

3. It means n times s equals 6

4. It means m plus n times s equals t

Step-by-step explanation:

Source: Just trust me bro

Answer:

These x-values are known as the “roots” or “zeros” of the quadratic. To find these roots, we simply set the quadratic equal to zero and solve for x

Step-by-step explanation:

The Relative Maximum will be (7, 50) and minimum is (12, 0).

We have the graph showing average low temperatures in international falls minnesota.

From the graph the maximum y coordinate is 50.

So, the Relative Maximum will be (7, 50).

and, the minimum y coordinate is 0.

So, the Relative minimum is (12, 0)

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Answer:

Me: 60

Zayn and Attia: 6

Step-by-step explanation:

12 = 2 × 2 × 3

20 = 2 × 2 × 5

LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60

My number is 60.

Zayn's and Attia's numbers are 6.

Answer:

First choice.

Step-by-step explanation:

cos 11π/6 = cos π/6 = √3/2

So cos 11π/12 =   √(1 + cos 11π/6) / √2

= √(1 + √3/2) / √2

= √(2 + √3) / 2.

Answer:

Hundred

Step-by-step explanation:

We are asked to find the value of 3 in 305

3- hundred

0- tens

5- units

Hence the value of 3 in 305 is hundred