1/3 of the students in Mr. Wilson's class play basketball and 1/2 play football. What combined fraction of students in Mr. Wilson's class plays either basketball or football?

x-intercept means the value of x at y = 0

y-intercept means the value of y at x = 0

the equation is

Substitute y by 0 to find the x-intercept

Divide both sides by 7 to find x

The ordered pair of x-intercept is (3, 0)

Substitute x by 0 to find the y-intercept

Divide both sides by -3 to find y

The ordered pair of the y-intercept is (0, -7)

The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Part A:

Given:

To find an equation,

Where x is number of monthly minutes.

and y is total monthly of splint plan.

So, equation is:

\(\rightarrow \text{y} =\text{mx} +\text{b}\)

For the first case:

\(\rightarrow\bold{173 = 380x + b}\)

Second case:

\(\rightarrow\bold{249= 570x + b}\)

Solve for x:

\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)

\(\rightarrow{-207=-321\)

\(\rightarrow \text{x} =\dfrac{321}{207}\)

\(\rightarrow \text{x} =\dfrac{107}{69}\)

\(\rightarrow \text{x} \thickapprox1.55\)

For value of b

\(\rightarrow 173 = 380(1.55) + \text{b}\)

\(\rightarrow 173 - 589 = \text{b}\)

\(\rightarrow -416 = \text{b}\)

Part B:

\(\rightarrow \text{y} = 942(1.55) - 416\)

\(\rightarrow \text{y} = 1460.1 - 416\)

\(\rightarrow \text{y} \thickapprox1044\)

Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

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Answer:

Step-by-step explanation:

125/7 = 17 6/7

The graph of the function is attached below.

The graph of a function shows the correlation between its inputs (represented by x-values) and matching outputs (represented by y-values). It is a means of illustrating the actions and traits of a function.

Plotting points that conform to the function's rule in a cartesian coordinate system results in the graph of the function. An input-output pair for the function is represented by each point on the graph. The point's x-coordinate represents the input value, while its y-coordinate represents the output value.

We can further use the graph to determine the range, domain, y-intercept, x-intercept and so many others from a graph.

In the given problem;

The graph of the function f(x) = 1 + x / x² - 1 is attached below;

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v(-2) = 11,  v(0) = 7,  v(5) = -3.

hope this helps! :)

\(v(x) = 12 - 2x - 5\\v(-2) = 12 - 2(-2) - 5\\v(-2) = 12 + 4 - 5\\v(-2) = 11\\-----------------------------\\v(0) = 12 - 2(0) - 5\\v(0) = 12 - 0 -5\\v(0) = 7\\-----------------------------\\v(5) = 12 - 2(5) - 5\\v(5) = 12 - 10 - 5\\v(5) = -3\)

Iris should use an income value of approximately $3,137.50 when making her budget.

When making her budget as a freelancer, Iris should use an income value that reflects her average earnings over the past four months. By calculating the average income, Iris can have a more stable and reliable estimate for her budget planning.

To determine the average income, Iris needs to add up the total income earned over the four months and divide it by the number of months. Summing up the income values, we get:

$2700 + $4600 + $3550 + $1700 = $12,550

Next, dividing the total income by four (the number of months), we find:

$12,550 / 4 = $3,137.50

Therefore, Iris should use an income value of approximately $3,137.50 when making her budget. This average value allows her to account for fluctuations in her monthly income and provides a more accurate representation of her earning potential.

It is important for Iris to consider her expenses and financial goals when budgeting. By using the average income, she can create a budget that balances her income and expenses, allowing her to allocate funds appropriately for various needs such as bills, savings, investments, and personal expenses.

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The probable question may be:

Iris is a working freelancer and has been tracking her monthly income for the last four months, which are $2700, $4600, $3550, and $1700. What income value should she use when making her budget?

Answer:

Option B.

Step-by-step explanation:

We need to find the circle that has a central angle that measures 40°.

In all options, the center of circle is U. It means central angle must be on center, i.e., U.

In option A,the angle VXZ is at point X which is not the center. So, angle VXZ is not a central angle.

In option B,the angle VUZ is at point U which is the center. So, angle VUZ is a central angle with measure 40°.

In option C,the angle XZV is at point Z which is not the center. So, angle XZV is not a central angle.

In option D,the angle VXZ is at point X which is not the center. So, angle VXZ is not a central angle.

Therefore, the correct option is B.

Answer:

it is B

Step-by-step explanation:

We need to find the circle that has a central angle that measures 40°.

In all options, the center of circle is U. It means central angle must be on center, i.e., U.

In option A,the angle VXZ is at point X which is not the center. So, angle VXZ is not a central angle.

In option B,the angle VUZ is at point U which is the center. So, angle VUZ is a central angle with measure 40°.

In option C,the angle XZV is at point Z which is not the center. So, angle XZV is not a central angle.

In option D,the angle VXZ is at point X which is not the center. So, angle VXZ is not a central angle.

Therefore, the correct option is B.

Answer: X= -2

Step-by-step explanation:

-4+4x+4=-24-8x

4x=-24-8x

12x=-24

X=-2

Answer: D.

You can get the lowest price at Store C

The lowest price is at Store C, where the price is $113.75 after the discount.

You can get the lowest price at Store C.

Option D is the correct answer.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Let's first calculate the price of the snowboard after the discounts at each store:

Store A:

The first discount is 30% off, so the price becomes 0.7 times the original price.

0.7 x $189.59

= $132.71

The successive discount is 10% off, so the price becomes 0.9 times the discounted price.

0.9 x $132.71

= $119.44

Store B:

The first discount is 20% off, so the price becomes 0.8 times the original price:

= 0.8 x $189.59

= $151.67

The successive discount is 20% off, so the price becomes 0.8 times the discounted price.

= 0.8 x $151.67

= $121.34

Store C:

The discount is a straight 40% off, so the price becomes 0.6 times the original price.

= 0.6 x $189.59

= $113.75

Therefore,

The lowest price is at Store C, where the price is $113.75 after the discount.

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Answer: Given as (x, y) in order from top to bottom: (16, 4); (8, 2); (36, 9)

Step-by-step explanation:

   Since we need to solve for x, we will solve this equation for x first.

Given:

   y = \(\frac{x}{4}\)

Multiply both sides of the equation by 4:

   4y = x

   Next, for each given y-value, we will substitute into the given rule we transformed and solve.

   4y = x

   4(4) = 16

   4y = x

   4(2) = 8

   4y = x

   4(9) = 36

Answer:

16

8

36

Step-by-step explanation:

move the /4 to H other side and you get y*4=x,

now put the number on the table and multiply by 4 to get X, for each value,

answer:

25, 62, 34,53

hoped this helped (i tried to put the 5,2,4,and 3 on top but didnt look right)

let me know if it did

Answer:

10

Step-by-step explanation:

5times 10 is 50

Given that,

The vertices of a rectangle are (–1, 1), (3, 1), (–1, –4), and (3, –4).

To find,

The perimeter of the rectangle.

Solution,

Let the points are :

A(–1, 1), B(3, 1), C(3, –4) and D(–1, –4)

Let's find AB and BC using distance formula :

\(AB=\sqrt{(3-(-1))^2+(1-1)^2} \\\\=4\ \text{units}\)

\(BC=\sqrt{(3-3)^2+(-4-1)^2} \\\\=5\ \text{units}\)

The perimeter of a rectangle = 2(sum of two adjacent sides)

= 2(AB+BC)

= 2(4+5)

= 18 units

So, the perimeter of the rectangle is 18 units.

Answer:

x = 9

Step-by-step explanation:

y = (2/3)x - 6

y coordinate is 0

0 = (2/3)x - 6

Add 6 to both sides

6 = (2/3)x

multiply both sides by 3/2

9 = x

x = 9

The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.

Answer:

Step-by-step explanation:

3

x

2

+

4

x

+

19

−

f

(

x

)

=

0

The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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The two-way anova does not fit the third assumption in the posed question.

Analysis of variance is a collection of statistical models and their associated estimation procedures used to analyze the differences among means. ANOVA was developed by the statistician Ronald Fisher. The two-way analysis of variance is an extension to the one-way analysis of variance. There are two independent variables (hence the name two-way).

It's assumptions include -

1. The populations from which the samples were obtained must be normally or approximately normally distributed.

2. The samples must be independent.

3. The variances of the populations must be equal.

4. The groups must have the same sample size.

Hence, the third assumption in the question does not apply to the two-way anova.

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Answer:

0.9 or 7.9

Step-by-step explanation:

Mark brainliest please

Answer:

9

Step-by-step explanation:

if angle A is 108 degrees, angle B is 27 degrees then angle C is 45 degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that angle A is 108 degrees

Angle B is 27 degrees

We need to find angle C

By angle sum property we know that the sum of three angles is 180 degrees

108+27+x=180

135+x=180

Subtract 135 from both sides

x=180-135

x=45 degrees

Hence, if angle A is 108 degrees, angle B is 27 degrees then angle C is 45 degrees.

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In a triangle ABC, Find the angle C when angle A= 108° ,B=27° .

The system has an infinite number of solutions, but the only solution is (a, b) = (0, 0).

The given system of equations can be solved using the substitution method. We can begin by solving the first equation,\(a^2 + b^2\), for either a or b. Let's solve for a:

\(a^2 + b^2 = 0\)

\(a^2 + b^2 = 0\)

\(a^2 = -b^2\)

\(a = \pm\sqrt(-b^2)\)

We can substitute this expression for a into the second equation, \(3a^2 - 2ab - b^2 = 0\), and simplify:

\(3(\pm\sqrt(-b^2))^2 - 2(\pm\sqrt(-b^2))b - b^2 = 0\)

\(3b^2 - 2b^2 - b^2 = 0\)

0 = 0

Since 0 = 0, this means that the system of equations has an infinite number of solutions. In other words, any values of a and b that satisfy the equation \(a^2 + b^2 = 0\) will also satisfy the equation \(3a^2 - 2ab - b^2 = 0\)

However, the equation \(a^2 + b^2 = 0\) only has a single solution, which is a = b = 0. Therefore, the solution to the system of equations is (a, b) = (0, 0).

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The graph of the translated function is g ( x ) = ( x + 5 )² + 2

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x²

On simplifying , we get

The function is translated 5 units to the horizontal left direction:

And , when the function is translated 2 units in the vertical upward direction:

So , the translated function is

g ( x ) = ( x + 5 )² + 2

Now , the vertex of the function g ( x ) = ( x + 5 )² + 2 is (-5, 2)

Hence , the graph of the function is plotted and g ( x ) = ( x + 5 )² + 2

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Answer:

x = 40

Step-by-step explanation:

Set up a proportion.

20/24 = x/48

Divide 48 by 24.

48 / 24 = 2

Multiply 2 by 20.

2 x 20 = 40

x = 40

Answer:

\(x=40\)

Step-by-step explanation:

We have:

\(\frac{20}{24}=\frac{x}{48}\)

First, we can reduce the left-hand side. Reduce both the numerator and the denominator by 4. Thus:

\(\frac{5}{6}=\frac{x}{48}\)

Cross-Multipy:

\(6x=240\)

Divide both sides by 6. Hence, the value of x is:

\(x=40\)

Let "s" represent the amount saved in the bank account and "c" the number of cakes sold.

Jane (J)

Has a starting balance of $70 and she sells "c" cakes for $25 each, you can symbolize the earnings of the cake sales as 25c

You can express the total amount saved using the following expression

Miriam (M)

Has a starting balance of $100 and shells cakes for $20 each, you can symbolize the total earnings for her cakes sales as 20c

So the total amount saved can be expressed as:

a) To determine how many cakes they must sell so that their savings will be the same, you have to equal both expressions and calculate the value of c:

To calculate for c, the first step is to pass the term containing the variable to the left by applying the opposite operation to both sides of the equal sign:

Repeat the process to pass 70 to the right side of the expression

And divide both sides by 5 to reach the value of c

After selling 6 cakes both Jae and Miriam will have saved the same amount.

b)

To determine what will their savings be, you have to replace either one of the expressions with c=6 and calculate for s:

If you solve it using Miriam's expression the result must be the same:

As you see using either equation we arrived to the same result, after selling 6 cakes their total saves will be $220

The circumference of a circle with one-third the curvature of a circle of radius 1 is 18.85 units

What is circumference ?

The perimeter of a circle is known as its circumference. It is the length of the circle's whole perimeter. The diameter of a circle and the constant are multiplied to get the circumference of the circle. This measurement of a circle's circumference is necessary for someone to cross a circular park or for a circle-shaped table to have a border. The units of the circumference are the same as the units of length and it is a linear value.

If a circle has a radius of 1,

the curvature is inversely proportional to this

So, the curvature= 1

A circle with a curvature of 1/3 :

radius=3

Thus, the circumference of the circle  =  2 *π * radius

                                                               =  2*π * 3

                                                               =  6π

                                                               ≈ 18.85 units

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Answer:

g(1) = 1

Step-by-step explanation:

the absolute value function always gives a positive result, that is

| - a | = | a | = a

to evaluate g(1) substitute x = 1 into g(x)

g(1) = - 3| 1 - 2| + 4

    = - 3| - 1| + 4

   = - 3(1) + 4

  = - 3 + 4

  = 1

By using the graph of g, the solution to g(3) is equal to 8.

In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In Mathematics and Geometry, a domain is sometimes referred to as input value and it can be defined as the set of all real numbers for which a particular function is defined.

When the domain (input value) of the given function g(x) shown in the graph is 3, the output value (range) is given by;

g(3) = 8.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

$3,244.21 can be withdrawn each month for 25 years, assuming an interest rate of 7% and a starting principal of $500,000.

PV = PMT × [1 - (1 + r)⁻ⁿ] / r

where:

PV is the present value of the annuity

PMT is the payment amount per period

r is the interest rate per period

n is the total number of periods

In this case, we want to withdraw a fixed amount each month for 25 years, which represents 12 ×25 = 300 periods.

The interest rate per period is 7% / 12 = 0.5833%.

Let's assume that you want to withdraw a fixed amount each month, and you want the withdrawals to last for 25 years. To calculate the amount you can withdraw each month,

PV = PMT × [1 - (1 + r)⁻ⁿ] / r

500,000 = PMT × [1 - (1 + 0.005833)⁻³⁰⁰] / 0.005833

Solving for PMT, we get:

PMT = PV × r / [1 - (1 + r)⁻ⁿ]

PMT = 500,000 × 0.005833 / [1 - (1 + 0.005833)⁻³⁰⁰]

PMT = $3,244.21

Therefore, you can withdraw $3,244.21 each month for 25 years, assuming an interest rate of 7% and a starting principal of $500,000.

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