When a family has dental insurance, they are responsible for paying the deductible and any amount charged by their dentist that their insurance does not cover. A dental insurance policy states its family coverage as:
• $250 deductible (this means the family is responsible to pay for the first $250 of treatment)
•80% payment for charges that exceed $250 but do not exceed $1500
•50% payment for charges that exceed $1500
***The percent listed in the coverage is the amount the insurance company pays for (Hint: if the insurance company pays for 80% of the charges, then what percent does the family have to pay for?) ***
a) What is the family's payment if the dental charge is $680?
b) What is the family's payment if the dental charge is $4500?
c) Find a model that relates payments and charges.

Answer:

image 2

1. SSS

2. AAS

3. SAS

The region along the horizontal axis where the net electric field is zero is region C.

In region C, the electric field produced by the positive charge is equal and opposite to the electric field produced by the negative charge. Therefore, the net electric field in this region is zero. The electric field is proportional to the gradient of the potential, and thus, the potential is constant in region C. Points in region C are equipotential points, meaning that they have the same electrical potential and the electric field is perpendicular to the equipotential surface.

In regions A, B, D, and E, the electric field is non-zero because the charges are not symmetrically placed with respect to the point in question, and thus, the electric field will have a net non-zero value in these regions.

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The required area of the triangle is represented by the expression A = (1/2)b² + 6b. where b is the base of the triangle.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

To find the area of a triangle, we need to know the base and height of the triangle. The height of the triangle is given as 12 cm greater than the base of the triangle, so let's call the base of the triangle "b".

The height would then be h = b + 12.

The formula for the area of a triangle is:

A = (1/2)bh

So, the area of the triangle would be:

A = (1/2)(b)(b + 12)
A= (1/2)b² + (1/2)12b
A = (1/2)b² + 6b

In this case, the area of the triangle is a function of the base, so the exact value of the area depends on the value of b.

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Answer: Im pretty sure the answers are B and C

Step-by-step explanation:

if you start with [tex]\frac{2(3x-6)}{3}[/tex] and distribute the 2

[tex]2*3=6[/tex]

[tex]2*-6=-12[/tex]

So you are left with [tex]\frac{6x-12}{3}[/tex]

[tex]\frac{6x}{3}=2x[/tex]

[tex]\frac{-12}{3}=-4[/tex]

[tex]2x-4[/tex]

The slope of the line passing through the points (−8, -4) and (−8, 8) is undefined

The slope of the line passing through the points (3, 4) and (−3, 4) is 0

An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.

The standard form of a linear equation is:

Ax + By = C

Where A, B and C are constants

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope and b is the y intercept

The slope of the line passing through points (x₁, y₁) and (x₂, y₂) is:

m = (y₂ - y₁) / (x₂ - x₁)

A) Find the slope of the line passing through the points (−8, -4) and (−8, 8).

m = (8 - (-4)) / (-8 - (-8)) = undefined

The slope is undefined

B) Find the slope of the line passing through the points (3, 4) and (−3, 4).

Slope = (4 - 4) / (-3 - (-3)) = 0

The slope is 0

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The area between the curves is 18 square units.

First, we should find the area between the curves 2x+y²=8 and y=x, we can find the area of curves by substituting y for x in equation 2x+y²=8.

The given equation is 2x+y²=8 and for this, we have to find the roots:

2y+y²=8

y²+2y−8=0

(y+4)(y−2)=8

so the line y=x intersects the parabola 2x+y²=8 at the points (−4,−4) and (2,2). Solving the equation 2x+y²=8 for x yields x=4−1/2y²

From sketching the graphs of the parabola and the line, we can see that the x-values on the parabola lie on the line in the interval of −4≤y≤2.

The area between curves is:

[tex]A=\int\limits^2_4 {(4-\frac{1}{2}y^2-y) } \, dy\\\\A=(4y-\frac{1}{6} y^3-\frac{1}{2} )^2_-_4[/tex]

A=(8-4/3-2)-(-16+32/3-8)

A =18 square units.

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.

Considering the systems of equations, the system of equations has infinite solutions.

Systems of equations are a set of two or more equations with two or more variables.

To find the solution to a system of equations, you have to solve the equations simultaneously. However, not all systems of equations have a solution. You can have systems with no solutions or even systems with infinitely many solutions.

hat is, there are three possible results that we can find when working with systems of linear equations:

The system of equations is:

3x+y=4

6x+2y=8

You can see that the second equation is obtained by multiplying the first equation by 2. Therefore, the system of equations has infinitely many solutions.

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Answer:2.5,21,166,1132

Step-by-step explanation:

Answer:

0       0

3        9

5       15

10      30

Step-by-step explanation:

Since y=3x plug in the various x values to attain your y values.

The correct statement is y=5x-9

In Mathematics, a slant asymptote, also known as an oblique asymptote, occurs when the degree of the numerator polynomial is greater than the degree of the denominator polynomial. The slant asymptote gives the linear function which is neither parallel to x-axis nor parallel to the y-axis.

Given here: The function f(x)=10x³-8x²+6 over 2x²+2x-4

Thus       2x²+2x-4)=10x³-8x²+6 (5x-9

                                10x³+10x²-20x

                       __________________

                                        -18x²+4x+6

                                        -18x²-18x-36

                        ___________________

                                                 22x+42

Thus the required oblique slant asymptote is given by 5x-9

Hence, The correct statement is y=5x-9

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The initial height of the rocket is 24 meters. The rocket would hit ground after 5.16 seconds. The height of the rocket after 4 seconds is 84 meters.

An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.

The height of the rocket after t seconds is:

h(t) = -4t² + 16t + 24

a) The initial height is at t = 0, hence:

h(0) = -4(0) + 16(0) + 24

h(0) = 24

The initial height of the rocket is 24 meters

b) The rocket hit the ground at h = 0, hence:

0 = -4t² + 16t + 24

4t² - 16t - 24 = 0

t = 5.16 seconds

c) The height of the rocket after 4 seconds:

h(5) = -4(5) + 16(5) + 24 = 84 meter

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Answer:

no they are not similar

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:   :)

The area of a rectangle with length x and width [tex]x^2-3x[/tex] can be written as a sum of cubes as [tex]x^3 + (x^2-3x)^3[/tex].

[tex]x^3 + (x^2-3x)^3[/tex]

We are asked to write the area of the rectangle as a sum of cubes. The area of a rectangle is calculated with length times width.

The length of the rectangle is given as x and the width of the rectangle is given as [tex]x^2-3x.[/tex]

The area of the rectangle can be written as:

Area = [tex]x^2-3x.[/tex]

The area can then be written as a sum of cubes as:

Area = [tex]x^3 + (x^2-3x)^3[/tex]

Therefore, the answer is [tex]x^3 + (x^2-3x)^3.[/tex]

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The equation representing the table is y = 0.9x + 6 and at 104.44 minutes the phone will be fully charged.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Let, The x coordinate represents time in minutes and the y coordinate represents battery percentage.

So, The ordered pairs are, (0, 6), (10, 15).

Slope(m) = (15 - 6)/(10 - 0).

Slope(m) = 9/10 = 0.9.

y = 0.9x + b.

6 = 0.9(0) + b.

b = 6.

y = 0.9x + 6.

When it is fully charged it is,

100 = 0.9x + 6.

0.9x = 94.

x = 94/0.9.

x = 104.44 minutes or 104 minutes and 26 seconds.

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Equations that the number 10² makes true are:

4.08 × 10² = 408

0.97 × 10² = 97

An equation is a mathematical statement that expresses equality, is made up of two expressions connected by an equal sign.

Given equations,

a) 0.031 × 10² = 31

0.031 × 100 = 31

3.1 ≠ 31

LHS ≠ RHS

Equation is not true

b) 0.501 × 10² = 501

0.501 × 100 = 50.1

50.1 ≠ 50.1

LHS ≠ RHS

Equation is not true

c) 4.08 × 10² = 408

4.08 × 100 = 408

408 = 408

LHS = RHS

Equation is true

d) 0.97 × 10² = 97

0.97 × 100 = 97

97 = 97

LHS = RHS

Equation is true

e) 0.55 × 10² = 550

0.55 × 100 = 550

55 ≠ 550

LHS ≠ RHS

Equation is not true

Hence, 4.08 × 10² = 408 and 0.97 × 10² = 97 are equations that the number 10² makes true.

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The perimeter of the figure is 28 units.

A quadrilateral is a four-sided polygon, having four edges and four corners.

Let us split the given figure to three shapes

Rectangle, Two right triangles

The rectangle has 4 units of length and 3 units of width

Perimeter of rectangle=2(length+width)

=2(4+3)

=14

Now the three sides of triangle are 2, 2 and 2.82 (pythagoras theorem)

Perimeter of triangle=2+2+2.82

=7 units

as there are two right triangle the total perimeter is 2×7=14 units.

So Total perimeter=14+14 units

28 units

Hence, the perimeter of the figure is 28 units.

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Answer:

The number of planes that land in a given time period follows a Poisson distribution with parameter lambda equal to the average rate of landing per unit time. In this case, lambda is equal to 0.1 planes per minute.

The probability that between 2 and 6 planes will land in 10 minutes is given by the cumulative distribution function of the Poisson distribution:

P(2 <= X <= 6) = P(X <= 6) - P(X <= 1)

Where X is the number of planes that land in 10 minutes.

Using the cumulative distribution function for the Poisson distribution, we have:

P(X <= 6) = 1 - e^(-0.1 * 10) * (1 + 0.1 * 10 + (0.1 * 10)^2 / 2! + ... + (0.1 * 10)^6 / 6!)

P(X <= 1) = 1 - e^(-0.1 * 10) * (1 + 0.1 * 10)

Therefore,

P(2 <= X <= 6) = (1 - e^(-0.1 * 10) * (1 + 0.1 * 10 + (0.1 * 10)^2 / 2! + ... + (0.1 * 10)^6 / 6!)) - (1 - e^(-0.1 * 10) * (1 + 0.1 * 10))

The exact value of this probability can be calculated using a calculator or computer software.

Answer:

0.3

Step-by-step explanation:

The graph of the exponent function A(x) = 400 (1.25)ˣ + 0 will be drawn below. Then the correct option is A.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

y = a (1 ± r)ˣ

A boat's value over time is given as the function f(x) and graphed below. Use A(x) = 400(b)ˣ + 0 as the parent function.

The increasing at a rate of 25% per year. value of 'b' is given as,

b = 1 + 0.25

b = 1.25

Then the equation is given as,

A(x) = 400 (1.25)ˣ + 0

The graph of the exponent function A(x) = 400 (1.25)ˣ + 0 will be drawn below. Then the correct option is A.

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The image below is  a reduction, the scale factor is 1/5.

Suppose the initial measurement of a figure was x units.

And let the figure is scaled and new measurement is of y units.

Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.

Then we have:

[tex]s \times x = y\\s = \dfrac{y}{x}[/tex]

Thus, scale factor is the ratio of the new measurement to the old measurement.

Given;

The two triangle with  4cm, 5cm, 3cm and  20cm, 25cm, and 15cm.

Now,

s=4/20=1/5

s=5/25=1/5

s=3/15=1/5

Therefore, the scale factor will be 1/5.

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Answer:

C

Step-by-step explanation:

morgan = x

megan = x+3

marie = x+2

x+x+3+x+2=3x+5

Step-by-step explanation:

Rearrange w = 3(2a + b) - 4 to make a the subject:

w = 3(2a + b) - 4

expand right side:

w = 6a + 3b - 4

add 4 to both sides:

w + 4 = 6a + 3b - 4 + 4

w + 4 = 6a + 3b

subtract 3b from both sides:

w + 4 - 3b = 6a + 3b - 3b

w + 4 - 3b = 6a  

flip flop equation for readability ease:

w + 4 - 3b = 6a  becomes:

6a  = w + 4 - 3b

divide both sides by 6:

6a/6  = (w + 4 - 3b)/6

a = [tex]\frac{1}{6}w + \frac{4}{6} -\frac{3}{6}b[/tex]

reduce:

a = [tex]\frac{1}{6}w + \frac{2}{3} -\frac{1}{2}b[/tex]

Now, arrange right side of equation so variables are ordered alphabetically.

Answer: [tex]a = -\frac{1}{2}b +\frac{1}{6} w+\frac{2}{3}[/tex]

The endpoints of AB are (2, 5) and (-4, 7). So the coordinates of the midpoint are (-1, 6).

These are the specified parameters:

AB are (2, 5) and (-4, 7)

Here,

x₁ = 2 and y₁ = 5

x₂ = -4 and y₂ = 7

The coordinates of the midpoint

= ((x₁ + x₂)/2 , (y₁ + y₂)/2)

= ((2 + (-4))/2 , (5 + 7)/2)

= (-2/2 , 12/2)

= (-1, 6)

So the coordinates of the midpoint of segment AB are (-1, 6).

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The simplified form of complex number (2+3i)(4-i) is 11+10i.

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

Here,

A) (3 + 2i) + (5 - 3i)

= 3+2i+5-3i

= 8-i

B) (-5 + 3i) - (6 - i)

= -5+3i-6+i

= -11+4i

C) (-4+4i)-(-6+9i)

= -4+4i+6-9i

= 2-5i

D) (2+3i)(4-i)

= 8+12i-2i-3i²

= 8+10i+3

= 11+10i

E) (2-3i)/(4+3i)

Rationalize denominator, that is

(2-3i)×(4-3i)/(4+3i)×(4-3i)

= (8-12i-6i+9i²)/(16-9i²)

= (8-18i-9)/25

= (-18i-1)/25

Therefore, the simplified form of (2+3i)(4-i) is 11+10i.

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Answer:

Hotdogs = 25    Chili dogs = 28

I believe it correct

The biweekly salary last year is $2,593.77.

The biweekly salary this year is  $2,905.

The amount she earns more is $311.23.

If an event occurs biweekly, it means that it occurs every two weeks.

Total number of times she was paid = number of weeks in a year / frequency she is paid

52 /2 = 26

Biweekly salary last year = salary last year  / number of times she was paid

$67,438 / 26 = $2,593.77

Biweekly salary this year = annual salary / number of times she was paid

= $75,530 / 26

= $2,905

Increase in biweekly salary = $2,905 - $2,593.77 = $311.23

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Answer:

The first one is the answer

Step-by-step explanation:

let m be the other number,

so 5(m-26.8) = 63.7

The entropy of the random variable X in this case is approximately 1.585 bits.

The entropy of a random variable X is a measure of the uncertainty associated with it. In this case, the random variable X is the number of selections required to choose the number 3.

Since the numbers are selected without replacement, the possible values for X are 1, 2, and 3, and the probabilities for each value are:

P(X=1) = 1/3

P(X=2) = 2/7

P(X=3) = 4/7

The entropy of a random variable X in bits is given by the formula:

H(X) = -∑P(X) log2(P(X))

Plugging in the probabilities above:

H(X) = -(1/3 log2(1/3) + 2/7 log2(2/7) + 4/7 log2(4/7))

H(X) = 1.585 bits

So, the entropy of the random variable X in this case is approximately 1.585 bits.

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The probability associated with the chi-square value of 0.023 in a chi-square test is the probability of obtaining the observed results, assuming that the expected results are true.

In other words, it is the probability of observing the deviation between the observed and expected values purely due to chance. A low probability value, such as 0.023, indicates that the deviation is unlikely to have occurred by chance, and suggests that there may be some other factor affecting the results of the genetic cross.

In this case, the researcher may reject the null hypothesis that the observed and expected values are in agreement, and conclude that there is a significant difference between the observed and expected values.

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27438 be the number of  bacteria  there be in 8 hours.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Nate is culturing bacteria that have a growth rate of 10% per hour.

The current population is 12,800 bacteria.

We need to find the number of  bacteria will there be in 8 hours

[tex]A=P(1+r)^{t}[/tex]

[tex]A=12800(1+10/100)^{8}[/tex]

[tex]A=12800(1+0.1)^{8}[/tex]

A = 12800×(2.14)

A=27438

Hence, 27438 be the number of  bacteria  there be in 8 hours.

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Answer:

  24 m, 25 m

Step-by-step explanation:

You want the two sides of a right triangle that are consecutive integers when one side is 7 m.

Let the shorter side be represented by x. Then the longer side is x+1, and the Pythagorean theorem tells you ...

  7² +x² = (x+1)²

  49 +x² = x² +2x +1

  48 = 2x . . . . . . subtract (x²+1)

  24 = x

  x+1 = 25

The other sides are 24 and 25 meters.

__

Additional comment

You know that 7 is not the hypotenuse, because a 3-4-5 right triangle is the only right triangle with consecutive integer leg lengths and a hypotenuse of 7 or less. (The next nearest right triangle with consecutive leg lengths is {20, 21, 29}, with a hypotenuse of 29.)

You may recognize the side lengths as the Pythagorean Triple {7, 24, 25}, one of the triples commonly seen in algebra and trig problems.