need help with this rational functions homework question

Answer:8%

Step-by-step explanation:

you divide 25 by 32 and round to nearest tenth

hope this helps :)

Answer:

$526.25, and your total monthly expense (including rent and maintenance fee) is $2,326.25.

Step-by-step explanation:

To calculate your average monthly expense, we need to first add up all of your annual expenses and divide by 12 (the number of months in a year) to find the monthly average.

Annual expenses:

Insurance: $325

Lost interest: $50

Utility bills: $5,940

Total annual expenses = $325 + $50 + $5,940 = $6,315

To find the average monthly expense, we divide the total annual expenses by 12:

Average monthly expense = Total annual expenses / 12

Average monthly expense = $6,315 / 12

Average monthly expense = $526.25

In addition to the annual expenses, you also pay a monthly rent of $1,700 and a monthly fee for all maintenance. Let's assume that the monthly maintenance fee is $100.

Therefore, your total monthly expense would be:

Total monthly expense = Monthly rent + Monthly maintenance fee + Average monthly expenses

Total monthly expense = $1,700 + $100 + $526.25

Total monthly expense = $2,326.25

So, your average monthly expense is $526.25, and your total monthly expense (including rent and maintenance fee) is $2,326.25.

Answer:

yes it is if you bisect 5m on a 12m line

If θ=2 rad then the condition when θ=2 rad is that the arc length S is equal to twice the radius r.

In this problem, we are given that when the arc length is equal to the radius (S=r), the angle is 1 radian (θ = 1 rad). Now, we are asked to find the condition when the angle is 2 radians (θ = 2 rad).

If Θ=1 rad when S=r, it means that when the angle subtended by an arc of length r is 1 radian, then the radius of the circle is also r.

Now, if θ=2 rad, we can use the same proportionality to find the arc length S that corresponds to this angle. Since the angle has doubled, we can expect the arc length to double as well. Therefore, we have:

θ/Θ = S/r

2/1 = S/r

S = 2r

Thus, the condition when θ=2 rad is that the arc length S is equal to twice the radius r.

For more details regarding arc length, visit:

https://brainly.com/question/16403495

#SPJ1

The length of the arc is 1 unit.

The distance that runs through the curved line of the circle making up the arc is known as the arc length.

length of an arc is expressed as;

l = tetha/360 ×2πr

the circumference of circle is expressed as ;

C = 2πr

6 = 2×3.14 × r

r = 6/6.28

r = 0.955 units

Therefore length of the arc

= 60/360 × 6

since 2πr is the circumference,

l = 360/360 = 1 unit

therefore the length of the arc is 1 unit.

learn more about length of an arc from

https://brainly.com/question/2005046

#SPJ1

Answer:

64π

Step-by-step explanation:

Use the formula for an area of a circle
[tex]A = \pi r^2[/tex]
Half of 16 is 8.
8*8 = 64.

The area of a circle with a diameter of 16 meters is equal to 64π or 200.96 square meters.

Mathematically, the area of a circle can be calculated by using this formula:

[tex]\text{Area} = \pi \text{r}^2[/tex]

Where:

[tex]\text{r}[/tex] represents the radius of a circle.

[tex]\text{Note:} \ \text{Radius} = \dfrac{\text{diameter}}{2} = \dfrac{16}{2} = 8 \ \text{meters}.[/tex]

By substituting the radius into the formula for the area of a circle, we have the following;

[tex]\text{Area of circle} = \pi \times 8^2[/tex]

[tex]\bold{Area} \ \text{of circle} = 64\pi \ \text{or} \ 200.96[/tex] square meters.

Read more on area of circle here: brainly.com/question/15531597

1) The graph of function g is graph W because it is result of a vertivcal compression applied to graph f.

2)  The graph of function g is graph X because it is result of a horizontal shift applied to graph f.

3)  The graph of function g is graph Y because it is result of a reflection over y-axis applied to graph f.

4)  The graph of function g is graph Z because it is result of a horizontal compression applied to graph f.

Here, a transformation applied to function f where f(x) = (1/2)^x

Consider graph W. We can observe that when the the graph of f(x) is compressed vertically then it will results in the graph of g(x)

Consider graph X. We can observe that if the the graph of f(x) is shifted horizontally right by 2 units then it will results in the graph of g(x)

Consider graph Y. We can observe that the the graph of g(x) is nothing but the reflection of f(x) over x-axis.

Consider graph Z. We can observe that when the the graph of f(x) is compressed horizontally then it will results in the graph of g(x)

Learn more about the function here:

https://brainly.com/question/28193994

#SPJ1

Therefore , the solution of the given problem of volume comes out to be the other leg of the right triangular pyramid's base is 3 yards long.

A three-dimensional object's volume, which is expressed in cubic units, indicates how much space it takes up. The indications for cubic measurements are litre and in3. However, you have to be cognizant of an object's volume in order to calculate its dimensions. Converting an object's weight into metric units like iii . and kilogrammes is a standard technique.

Here,

Let's use "x" yards to represent the other leg of the right triangle pyramid's base.

A pyramid's volume can be calculated using the following equation: => Volume = (1/3) * Base Area * Height

In this instance, we are informed that the pyramid has a volume of 168 cubic yards and a height of 14 yards.

=> 168 = (1/3) * 14 * base area

The base area can be estimated as (8 * x)/2 = 4x because we know that one leg of the base is 8 yards long and the other leg is designated as "x" yards.

=> 168 = (1/3) * 4x * 14

=> 168 = (4/3)x * 14

=>  168 = (4/3) * 14x

=> 168 = 56x

=> x = 168/56

=> x = 3

Therefore, the other leg of the right triangular pyramid's base is 3 yards long.

To know more about volume , visit:

https://brainly.com/question/13338592

#SPJ1

Answer: 195 adult tickets and 262 children tickets

Step-by-step explanation:

     Let a be adult tickets and c be children tickets.

We know there are 457 seats.

     a + c = 457

We also know the cost of the tickets and how much money was made.

     $54a + $17c = $14,984

Now, we have a system of equations we can use to solve.

     a + c = 457

     $54a + $17c = $14,984

Lastly, we will graph this system, see attached. The point of intersection, or where the lines intersect, is our answer.

     195 adult tickets and 262 children tickets.

Answer:

Chidden tickets were 262 and adult tickets were 195 tickets

Step-by-step explanation:

Let x = the number of children tickets

Let y = the number of adult tickets.

x + y = 457

17x + 54y = 14984

Use substitution

x + y = 457 Solve for y

y = 457 -x  Substitute 457 -x for y in the equation 17x + 54y = 14984

17x + 54y = 14984

17x + 54(457 -x) = 14984  Solve for x  Distributer the 54

17x + 24678 - 54x = 14984  Combine like terms

-37x = -9694   Divide both sides by -37

x = 262

The number of children tickets.

x + y = 457  Substitute 262 for x and solve for y

262 + y = 457  Subtract 262 from both sides

y = 195

The number of adult tickets.

Helping in the name of Jesus.

The answer on shape of house is , (1) A rectangle for the main structure of the house. (2) A triangle for the roof. (3) A rectangle for the front porch. (4) Two trapezoids for the roof of the front porch. (5) A rectangular door.

A trapezoid is a four-sided geometric shape with two parallel sides, called the bases, that are of different lengths, and two non-parallel sides that connect the bases. The non-parallel sides are also called legs, and they may or may not be equal in length.

Trapezoids are often encountered in geometry and in real-life situations, such as in construction and architecture. They can be classified as either right trapezoids or oblique trapezoids depending on whether one of the angles formed by the bases and a leg is a right angle or not.

Based on the image provided, the shapes that make up the front of the house are:

To know more about Oblique trapezoids visit:

https://brainly.com/question/301903

#SPJ1

Answer: 2

Step-by-step explanation:

Answer:

38 inches

Step-by-step explanation:

We can use the Law of Sines to solve for the length of side g:

sin(66°)/67 = sin(30°)/g

Cross-multiplying, we get:

g*sin(66°) = 67*sin(30°)

Dividing both sides by sin(66°), we get:

g = 67*sin(30°)/sin(66°) ≈ 38 inches (rounded to the nearest inch)

Therefore, the length of side g is approximately 38 inches.

Answer: The negative sign in front of 7/8 indicates that the fraction is negative. To find an equivalent fraction, we can keep the same value but change the sign. Therefore, an equivalent fraction that is positive would be (-(7/8)) = (-7)/8.

Step-by-step explanation:

Answer: there is no solution

Step-by-step explanation:

The solution of the equation is [tex]x=\frac{-7 \pm 3\sqrt{3}i} {2}[/tex]

Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.

The general form of the quadratic equation is: ax² + bx + c = 0

Given that, a quadratic equation (x-5)² + 3(x-5) + 9 = 0, we need to solve it,

So, put x-5 = u

Therefore,

u² + 3u + 9 = 0

Solving using quadratic formula,

[tex]x=\frac{-b \pm \sqrt{b^2-4ac}} {2a}[/tex]

Here a = 1, b = 3 and c = 9

Therefore,

[tex]u=\frac{-3 \pm \sqrt{3^2-4(9)}} {2}[/tex]

[tex]u=\frac{-3 \pm \sqrt{9-36}} {2}[/tex]

[tex]u=\frac{-3 \pm \sqrt{-27}} {2}[/tex]

[tex]u=\frac{-3 \pm 3\sqrt{3}i} {2}[/tex]

Put u = x-5,

Therefore,

[tex]x-5=\frac{-3 \pm 3\sqrt{3}i} {2}[/tex]

[tex]x=\frac{-7 \pm 3\sqrt{3}i} {2}[/tex]

Hence, the solution of the equation is [tex]x=\frac{-7 \pm 3\sqrt{3}i} {2}[/tex]

Learn more about quadratic equation click;

https://brainly.com/question/30098550

#SPJ5

Answer:

See below!

Step-by-step explanation:

Length = 735 meters

Width = 756 meters

Area = length × width

Area = 735 × 756

Area = 555660 m²

To find the area of largest square, we first need to find the highest common factor of 735 and 756.

HCF of 735 and 756:

= 21

This means the length of largest square will be 21 m.

Now,

= length × length

= 21 × 21

No. of squares = Total area / Area of largest square

No. of squares = 555660 / 441

[tex]\rule[225]{225}{2}[/tex]

Answer:

[tex]tringle = \frac{1}{2} \times base \times hieght[/tex]

1/2 × 8×5

0.5×40

=20m

Answer:

1,200

Step-by-step explanation:

The formula is Length x Width x Height so it will be 20 x 5 x 12 and you get 1,200.

Hope this helps!

Answer:

8. mArc ED = 38°

9. mArc EA = 142°

10.mArc BDC = 308°

Step-by-step explanation:

The measure of an a central angle and it's intercepted arc are equal

So if the measure of the angle for the angle that intercepts Arc ED is 38° the arc is also 38°

Same thing with Arc EA, the central angle that intercepts it is 142° so the measure of Arc EA is 142°

Arc BDC is a major arc so it is greater than 180°. It goes around the circle from point B to point C and point D is one of the points on the arc.

We could find the value of the arc two ways. We could add all the angles  the that make up the central angle it is intercept by or we could simply subtract the 52° that isn'tt a part of the arc and subtract that from 360°

360 - 52 = 308

So the central angle intercepting Arc BDC is 308° so the arc also has a measure of 308°.

The period of the sinusoidal equation of the graph is 4 months.

The amplitude of the sinusoidal equation of the graph is 84 degrees Celsius.

The period and amplitude are two important characteristics of a wave.

Period: The period of a wave is the time it takes for one complete cycle of the wave to occur. The period of a wave determines its frequency, which is defined as the reciprocal of the period.

Amplitude: The amplitude of a wave is the maximum displacement of the wave from its equilibrium position. In simpler terms, it represents the height or strength of the wave.

In then given graph, the period of the wave = 1 complete cycle in 4 months = 4 months/cycle = 4 months

Amplitude = 84 degrees Celsius.

Learn more about amplitude and period here: https://brainly.com/question/23713359

#SPJ1

The estimated value of the expression [tex]6/5/8 - 2/3/8[/tex] is approximately [tex]0.5082[/tex].

In Mathematics, fractions are defined as the parts of a whole. The whole can be an object or a group of objects

To estimate 6/5/8 - 2/3/8, we can convert the fractions to decimals and then perform the subtraction.

6/5/8 is equivalent to 6 ÷ 5.8, which is approximately 1.0345. 2/3/8 is equivalent to 2 ÷ 3.8, which is approximately 0.5263.

Therefore, 6/5/8 - 2/3/8 is approximately 1.0345 - 0.5263 = 0.5082.

Read more about fraction

brainly.com/question/78672

#SPJ1

 [tex]1.[/tex] The answers are given below

   Equation: [tex]6xt +4yz -3 +10a = 1[/tex]

   Number of terms: [tex]4[/tex]

  Coefficients: [tex]6,4,10[/tex]

   Constants: [tex]-3,1[/tex]

 [tex]2.[/tex] Expression: [tex]25abc -2b +3ac -6bc +25[/tex]

    Number of terms: [tex]5[/tex]

    Coefficients: [tex]25,-2,3,-6[/tex]

    Constants: [tex]25[/tex]

  [tex]3.[/tex] Equation: [tex]25y -3xy+5x = 100[/tex]

     Number of terms: [tex]3[/tex]

     Coefficients: [tex]25,-3,5[/tex]

      Constants: [tex]100[/tex]

To break down each equation or expression and identify the number of terms, coefficients, and constants.

[tex]1.[/tex] Equation: [tex]6xt +4yz -3 +10a = 1[/tex]

   Number of terms: 4. There are four terms in this equation separated     by addition and subtraction operators.

Coefficients: [tex]6,4,10[/tex]. These are the coefficients, which are the numerical values multiplied by the variables (xt, yz, a) in each term.

 Constants: [tex]-3,1[/tex]. These are the constants, which are the numerical values without any variables that are added or subtracted in the equation.

[tex]2.[/tex]  Expression:[tex]25abc -2b +3ac -6bc +25[/tex]

   Number of terms: [tex]5[/tex] There are five terms in this expression separated by addition and subtraction operators.

  Coefficients: [tex]25,-2,3,-6[/tex]. These are the coefficients, which are the numerical values multiplied by the variables (abc, b, ac, bc) in each term.

  Constants: [tex]25[/tex]. This is the constant, which is the numerical value without any variables that is added in the expression.

[tex]3.[/tex]  Equation: [tex]25y -3xy+5x = 100[/tex]

    Number of terms:[tex]3[/tex]. There are three terms in this equation separated by addition and subtraction operators.

    Coefficients: [tex]25,-3,5[/tex]. These are the coefficients, which are the numerical values multiplied by the variables (y, xy, x) in each term.

   Constants: [tex]100[/tex]. This is the constant, which is the numerical value without any variables on the right-hand side of the equation.

Therefore,   [tex]1.[/tex] The answers are given below

   Equation: [tex]6xt +4yz -3 +10a = 1[/tex]

   Number of terms: [tex]4[/tex]

   Coefficients: [tex]6,4,10[/tex]

   Constants: [tex]-3,1[/tex]

 [tex]2.[/tex] Expression: [tex]25abc -2b +3ac -6bc +25[/tex]

    Number of terms: [tex]5[/tex]

    Coefficients: [tex]25,-2,3,-6[/tex]

    Constants: [tex]25[/tex]

  [tex]3.[/tex] Equation: [tex]25y -3xy+5x = 100[/tex]

     Number of terms: [tex]3[/tex]

     Coefficients: [tex]25,-3,5[/tex]

      Constants: [tex]100[/tex]

Learn more about Coefficients

https://brainly.com/question/28975079

#SPJ1

If Laurel received a 1099 form from her bank for her savings account interest in the amount of $690 and a 1099 form from an employer that she did some consulting work for in the amount of $2,600, then Laurel's taxable income is calculated as  $98,580.

Taxable income refers to the base upon which an income tax system imposes tax.

We deduct the following;

Wages reported on W-2 =  $100,750

Interest income reported on 1099=  $690

Consulting income reported on 1099= $2,600

Therefore, her total income = $100,750 + $690 + $2,600 = $104,040

Laurel's allowable deductions include:

FSA contributions: $30 per week x 52 weeks = $1,560

Retirement plan contributions: $75 per week x 52 weeks = $3,900

Total deductions = $1,560 + $3,900 = $5,460

Laurel's taxable income  is found as

= Total income - Total deductions

= $104,040 - $5,460

= $98,580

In conclusion, Laurel's taxable income is $98,580.

Learn more about taxable income at:

https://brainly.com/question/1160723

#SPJ1

The linear inequalities in the given graph  is y ≥ x/2 -1 and  y< -1/2x -3.

Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, ‘<’, ‘>’, ‘≤’ or ‘≥’. These quantities may be numerical, algebraic, or a combination of the two.

Here, we have,

The symbols "" and ">" signify tight inequalities, while "" and "" signify slack inequalities. A linear inequality has the same appearance as a linear equation, but uses a different symbol to link the two expressions.

we have,

In the given graph, the area above solid line,

points, (-2 , -2) , (0 , -1)

slope = 1/2

so,  y ≥ x/2 -1

The area below dashed line ,

points, (-2 ,-2) , (0 ,-3)

slope= -1/2

so, y< -1/2x -3.

To know more about linear inequalities, visit:

brainly.com/question/28971384

#SPJ1

Answer:

D) 50

Step-by-step explanation:

-100 <-45 < 20 < 50

Answer:

50

Step-by-step explanation:

any numbers approaching negative (before 0) in an increasing manner are the lowest, whereas numbers approaching positive in a increasing manner are the greatest.

According to the information, the horizontal distance traveled by the ball is 443.404 feet.

We can use the kinematic equations of motion to solve for the hang time, maximum height, and horizontal distance traveled by the golf ball.

First, we need to resolve the initial velocity vector into its horizontal and vertical components. The vertical component will determine the maximum height and hang time, while the horizontal component will determine the horizontal distance traveled.

The initial velocity can be represented as:

where v0 is the initial velocity, theta is the angle of elevation, v0x is the horizontal component of the initial velocity, and v0y is the vertical component of the initial velocity.

Now we can use the kinematic equations to solve for the hang time, maximum height, and horizontal distance traveled.

Hang time (time in air):

We can use the vertical motion equation to solve for the time when the ball reaches its maximum height:

Since the ball will be in the air for twice the time it takes to reach its maximum height, the hang time is:

Maximum height:

We can use the vertical motion equation to solve for the maximum height reached by the ball:

Therefore, the maximum height of the ball is 64 feet.

Horizontal distance traveled:

We can use the horizontal motion equation to solve for the horizontal distance traveled by the ball:

x = v0x t

x = 110.851(4)

x = 443.404 ft

Therefore, the horizontal distance traveled by the ball is 443.404 feet.

Learn more about horizontal distance in: https://brainly.com/question/10093142
#SPJ1

The image of the point (-1, 2) after a rotation of 270° counterclockwise about the origin is (2, 1).

To rotate a point counterclockwise about the origin, we can use the following formulas:

(x', y') = (y,-x)

where (x, y) are the coordinates of the original point, (x', y') are the coordinates of the rotated point

In this case, we want to rotate the point (-1, 2) by 270° counterclockwise about the origin.

So, we have

(x', y') = (2,1)

Therefore, the image of the point (-1, 2) after a rotation of 270° counterclockwise about the origin is (2, 1).

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

Answer: So, what are you asking?

Step-by-step explanation:

The value of the mean of the temperatures for the two missing days are,

= - 6.5

We have to given that;

The temperatures, in degrees F, at 7:00 a.m. for five days during one week are shown.

-3, 4, -1, 6, 7

And, The mean temperature for all 7 days of the week was 0°F.

Now, We can assume that,

Last two days temp. are x and y.

Hence, We get;

(- 3 + 4 + (-1) + 6 + 7 + x + y) / 7 = 0

- 3 + 4 - 1 + 6 + 7 + x + y = 0

x + y = - 13

Divide both side by 2;

(x + y)/2 = - 13/2

(x + y)/2 = - 6.5

Thus, The value of the mean of the temperatures for the two missing days are,

= - 6.5

Learn more about the addition visit:

https://brainly.com/question/25421984\

#SPJ1

Answer: Correct answer is pie/2 or A

Step-by-step explanation:

r = -5sinθ + 4θ has symmetry with respect to the line θ = π/2.

To demonstrate this, we can apply the third symmetry test for polar equations:

Symmetry with respect to the line θ = π/2: Replace θ by π - θ and see if the equation remains the same. If it does, the equation has symmetry with respect to the line θ = π/2.

r = -5sin(π/2 - θ) + 4(π/2 - θ) = 5cosθ + 2π - 4θ

r = 5cosθ + 2π - 4θ is the same as the original equation, so there is symmetry with respect to the line θ = π/2.

Therefore, the correct answer is θ = π/2.