30 POINTS! Help is appreciated! This composite figure is created by placing a sector of a circle on a triangle. What is the area of this
composite figure? Use 3.14 for . Round to the nearest hundredth. Show your work.

Answer:

Step-by-step explanation:

The simple interest can be calculated using the formula:

I = P * r * t

where:

P = principal amount = $575

r = annual interest rate = 6.5% = 0.065

t = time period = 10 years

I = 575 * 0.065 * 10

I = $373.75

The new balance can be found by adding the interest to the principal:

New balance = Principal + Interest

New balance = $575 + $373.75

New balance = $948.75

Rounded to the nearest cent, the new balance is $948.75.

The graph of the function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The company will break even at the points where P(x) = 0, which are x = -2, x = -1, and x = 3.

The function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 is a polynomial function of degree 4.

To sketch the graph of this function without using technology, we can start by analyzing the end behaviors of the function. As x approaches negative infinity, the leading term of the function, x^4, dominates and the function approaches positive infinity. As x approaches positive infinity, the leading term also dominates and the function again approaches positive infinity. This means that the graph will have a shape that rises on both ends.

Next, we can find the x-intercepts of the function, which are the values of x where P(x) = 0. We can use synthetic division or factorization to find that the function has three real roots: x = -2, x = -1, and x = 3. These values represent the points where the graph intersects the x-axis.

Finally, we can find the y-intercept of the function, which is the value of P(0). We can plug in x = 0 into the function to find that P(0) = 18. This means that the graph intersects the y-axis at the point (0, 18).

Putting all of this information together, we can sketch a rough graph of the function. The graph rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The function is positive between x = -2 and x = -1, and between x = 3 and positive infinity. The function is negative between x = -1 and x = 3.

To summarize, the graph of the function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The company will break even at the points where P(x) = 0, which are x = -2, x = -1, and x = 3.

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The values of the missing sides are;

1. q = 4. 1, p = 11. 3

2. y = 56. 6, x = 35. 6

3. b = 16. 7, a = 9.1

Using the sine and cosine identities, we have;

sin θ = opposite/ hypotenuse

cos θ = adjacent/hypotenuse

We have that;

sin 20 = q/12

find the values

q = 4. 1

Also

cos 20 = p/12

p = 11. 3

For the second triangle

cos 39 = 44/y

cross multiply

y = 44/0. 7777

y = 56. 6

Also,

sin 39 = x/56.6

x = 35. 6

For the third triangle

sin 57 = 14/b

cross multiply

b = 16. 7

Also,

cos 57 = a/16. 7

cross multiply

a = 9. 1

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Answer:

The visible spectrum can be broken up into particular ranges of wavelengths; each corresponding to what we call colors: violet and indigo: 380 - 450 nm. blue and aqua: 450 - 500 nm. green: 500 - 570 nm.

Answer: -5

Step-by-step explanation:

from slope-intercept form, y=mx + b, where b is (-2), and the slope/m is (-5).

hope this helps, and please respond if I'm wrong

M = -5

That’s the answer

Answer: C

Step-by-step explanation: 0.3 is greater than 0.20

0.3 could be 0.30 or 0.35 or even 0.31, depends.

Answer:

  c.  need more information

Step-by-step explanation:

You want M, given that ∑X = 4390 and n=4.

Two expressions for different variables are given, but there is no given relationship between them or to the variable of interest: M.

You need more information.

Answer:

$10,000

Step-by-step explanation:

Let

Principal= x

Rate = 12%

Time = 2 years

Interest = (Final amount with interest placed on it) - Principal

Therefore,

Interest = 12,400 - x

Using

I = (P·r·t) / 100

Making P, subject of formula,

P = (100·I) / (R·T)

x = [100·(12,400 - x)] / (12.2)

x = (1,240,000 - 100x) / 24

Cross multiply,

24x = 1,240,000 -100x

24x + 100x = 1,240,000

124x = 1,240,000

x = 1,240,000 / 124

x = 10,000

Therefore, the principal, amount we need to invest is

$10,000

Please mark brainliest.

Thanks.

It sure looks like a linear function to me.

You can confirm this by finding the slope of "down 10/right 2" to give you a slope of -5.

The probability that a son will inherit the​ disease would be

P{E} = 1/4.

Given is that men have XY​ (or YX) chromosomes and women have XX chromosomes.​ X-linked recessive genetic diseases​ (such as juvenile​ retinoschisis) occur when there is a defective X chromosome that occurs without a paired X chromosome that is not defective. Represent a defective X chromosome with lowercase​ x, so a child with the xY or Yx pair of chromosomes will have the disease and a child with XX or XY or YX or xX or Xx will not have the disease. Each parent contributes one of the chromosomes to the child.

The probability that a son will inherit the​ disease if a father has the

defective {x} chromosome and the mother has good {XX}​ chromosomes

as -

P{E} = 4/16

P{E} = 1/4

Therefore, the probability that a son will inherit the​ disease would be

P{E} = 1/4.

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The value of x, given the triangle and the sides, would be 21. 67 units .

We are given the hypotenuse of the triangle and the length of the side that is adjacent to the angle given.

This means that the value of x would be found by the operation of Cos. The value of x can be found to be :

Cos ( 37 degrees ) = 17. 3 / x

x × Cos ( 37 degrees ) = 17. 3

x =  17. 3 / Cos ( 37 degrees )

x = 17. 3 / 0. 7986355

x = 21. 67 units

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According to the given information, Jeremy is saving approximately $20.56 per week for his new tires.

What is basic arithmetic?

Basic arithmetic refers to the fundamental operations of arithmetic, which include addition, subtraction, multiplication, and division. These operations are used to perform calculations with numbers, such as counting, computing sums, finding differences, calculating products, and determining quotients.

We can use this information to find Jeremy's weekly savings rate.

To find the weekly savings rate, we need to first find out how much Jeremy saves in a week.

For the first month, which is four weeks, Jeremy saves $230.

For the next three months, which is 12 weeks, he saves an additional $329 - $230 = $99.

Therefore, in total, Jeremy saves $230 + $99 = $329 in 16 weeks.

His weekly savings rate is then:

$329 / 16 weeks = $20.56 per week (rounded to the nearest cent)

So, Jeremy is saving approximately $20.56 per week for his new tires.

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The answer of imaginary expression is option a. The value is -3i[tex]\sqrt2[/tex] .

Imaginary expression is a specific type of algebraic expression which involves the square root of a negative number. For example 2+3i is an Imaginary expression.

Given that,

          -1[tex]\sqrt{-1[/tex] [tex]\sqrt9[/tex] [tex]\sqrt{2[/tex]

      =-1×i×3×√2 [since [tex]\sqrt-1[/tex]= i and [tex]\sqrt{9[/tex] =3]

[Here [tex]\sqrt-1[/tex] is an imaginary number]

      = -3i√2

Hence the answer is -3i√2 .

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Answer:

0.96

Step-by-step explanation:

Bella owns a small business selling ice-cream. She knows that in the last week 50 customers paid cash, 2 customers used a debit card, and 4 customers used a credit card.

Based on these results, express the probability that the next customer will pay with cash or a credit card as a decimal to the nearest hundredth.

50 cash, 2 debit card, and 4 credit card.

50+2+4= 56

There were a total of 56 customers. 50+4=54 customers paid with cash or a credit card.

Probability the next customer will pay with cash or a credit card:

54

56

​

= 0.964285...

≈ 0.96

Round to the nearest hundredth

The probability as a decimal to the nearest hundredth is

0.96

Answer:

6 + 40 *3 = 126

Step-by-step explanation:

first is 6 and you add 3 in every step

Answer:

126 smileys

Step-by-step explanation:

[tex]a_{1} =[/tex] First term

    = 6

[tex]d =[/tex] Common difference

  = 3

[tex]n =[/tex] [tex]n^{th} term[/tex]

  = Step number

Arithmetic sequence will be applied:

[tex]a_{n} = a_{1} + (n - 1)d[/tex]

For n = 2:

[tex]a_{2} = 6 + (2 - 1)(3)[/tex]

    [tex]= 6 + (1)(3)[/tex]

    [tex]= 9[/tex]

For n = 3:

[tex]a_{3} = 6 + (3-1)(3)[/tex]

    [tex]= 6 + (2)(3)[/tex]

    [tex]= 6 + 6[/tex]

    [tex]= 12[/tex]

∴For n = 41:

[tex]a_{41} = 6 + (41 - 1)(3)[/tex]

     [tex]= 6 + (40)(3)[/tex]

     [tex]= 6 + 120[/tex]

     [tex]= 126[/tex]

∴There will be 126 smiley faces in Step 41

According to the information, the equation that expresses this situation is x = 1/4 / 2

To identify the equation that corresponds to this expression, we must take into account that the amount of gravel that he used in a single cactus is equal to x.

Additionally, we must take into account that x is equal to half of 1/4. Therefore, we must write the equation as follows:

If we want to know the result we can develop the operation as shown below:

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Answer:

c

Step-by-step explanation:

2 x 2=4

2 x 2 =4
2 x 2 = 4

4 ^3 = 64

48 x 3 =192
Or:
192/2 = 96
96/2=48
48/2 = 24

24/2= 12
12/3=4

4/2=2
2 x 2 x 2 x 2 x 2 x 2 x 3

Answer:

Step-by-step explanation:

y=4x + 10

y=3x + 15

Answer:

y = -4x + 5.

Step-by-step explanation:

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Given that the line passes through the point (2, -3) and has a slope of -4, we can use the point-slope form of a linear equation to find the y-intercept:

y - y1 = m(x - x1)

where x1 and y1 are the coordinates of the given point, and m is the slope.

Substituting the given values, we get:

y - (-3) = -4(x - 2)

Simplifying and rearranging, we get:

y + 3 = -4x + 8

Subtracting 3 from both sides, we get:

y = -4x + 5

Therefore, the equation in slope-intercept form for the given line is y = -4x + 5.

The intercepts are (0, 0), (-π, 0) and (π, 0)

The intercepts

The intercepts of a graph are the points where the graph intersects the x-axis (horizontal axis) and the y-axis (vertical axis).

From the given graph, we have the intercepts to be

(0, 0), (-π, 0) and (π, 0)

The domain and the range

The domain of a graph refers to the set of all possible input values, while the range refers to the set of all possible output values.

Using the above definition as a guide, we have

Domain = (-∝, ∝)

Range = [-2, 2]

The increasing and the decreasing interval

From the graph, we can see that the y values decrease from x = -π till x = -π/2 and also decrease from x = π/2 till x = π

Also, it increase from -π/2 till π/2

These are the increasing and the decreasing intervals

The function type

Based on the appearance of the graph, the function is an odd function

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The measure of the angle for each letter found by finding the variables representing the angles simultaneously using circle theorems are;

a = 90°, b = 12°, c = 64°, d = 52°, e = 52°, f = 48°, g = 66°, h = 32°, i = 36°, j = 20°

A simultaneous equation consists of two or more equations that consists of the same variables.

The evaluation of the angles in the circle are presented as follows;

a + a = 180° (linear pair angles)

2·a = 180°

a = 180°/2 = 90°

a = 90°

The 32° angle indicates that the base angle of the large isosceles triangle is 2 × 32° = 64°

Angle c is a base angle of the isosceles triangle, therefore, we get;

c = 64°

Angle b + 90° + 78° = 180° (Angle sum property of a triangle)

b = 180° - (90° + 78°) = 12°

b = 12°

In the isosceles triangle with angle 2·b, and the isosceles triangle formed by the radii to the vertices, we get;

2·b + 2·b = f, therefore;

f = 2·b + 2·b = 4·b

f = 4·b

f = 4 × 12° = 48°

f = 48°

The measure of angle g is equivalent to the measure of a base angle of the isosceles triangle with the angle 2·b, with angle f = 48° being a vertex of the triangle, therefore;

g = (180° - 48°)/2 = 66°

g = 66°

Vertex angle of the cyclic quadrilateral with 5·b can be found as follows;

2·f + The vertex angle = 180°

Vertex angle = 180° - 2 × 48° = 84°

Vertex angle = 84°

5·b + 2·h + i + j = 180°

5 × 12 + 2·h + i + j = 180°

60° + 2·h + i + j = 180°

2·h + i + j = 180° - 60° = 120°

2·h + i + j = 120°...(1)

2 × 2·h + 2 × j = 2 × 84°

2·h + j = 84°...(2)

2·f + 5·b + i + 168° = 360°

i = 360° - 2·f + 5·b + 168°

i = 360 - (96 + 60 + 168) = 36

2·h + i + j - (2·h + j) = 120° - 84° = 36°

i = 36°

5·b + 2·h + 2·f + i + j + 84° = 360°

60° + 2·h + 96° + 36° + j + 84° = 360°

2·h + j = 360° - 84° - 36° - 60° - 96°  = 84°

2·h + j = 84°

The two tangent theorem indicates that we get;

90° - 64° = 26°

180° - 2 × 26° = 128°

h = (180° - 128°/2)/2 - 26° = 32°

h = 32°

2·h + j = 84°

j = 84° - 2·h

j = 84° - 2 × 32° = 20°

j = 20°

d = e (Angles subtended by the same chord)

2·c + d = 180°

2 × 64° + d = 180°

d = 180° - 2 × 64° = 52°

d = 52° = e

e = 52°

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The amount of money in account A is decreasing by 8% per year. Account B recorded a greater percentage change in amount of money over the previous year.

Amount is an indefinite quantity of something, usually money or a measurement of quantity. It is often used to describe the total amount of money received or spent in a particular instance or over a period of time.

The amount of money in account A is decreasing by 8% per year. This can be seen by looking at the 0.92 in the equation. This is the rate of decay, and represents a 8% decrease every year.

Part B: Account B recorded a greater percentage change in the amount of money over the previous year. Looking at the table, the amount of money decreased by 10.51%, 10.22%, and 11.94% in the first, second, and third years respectively. This is greater than the 8% decrease in account A.

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The correct answer is 4g. Spaghetti is a great source of fiber, with 4g per serving.

Fiber is a type of carbohydrate found in plant-based foods. It is not digested or absorbed by the body, but instead passes through the digestive system and out of the body. Fiber helps promote healthy digestion by adding bulk to the stool, helping it to pass through the intestines more quickly.

Fiber is an essential part of a healthy diet. It helps to keep your digestive system functioning properly, reduce cholesterol levels, and aid in weight management. It can be found in many plant-based foods, as well as some animal-based products. Spaghetti is a great source of fiber, with 4g per serving. This is a good amount for a meal, and it can help you meet your daily fiber needs. Eating a variety of foods that are high in fiber can help you stay healthy and reach your dietary goals. Getting enough fiber in your diet can also help reduce your risk of diabetes, heart disease, and stroke. So, the correct answer is 4g of fiber per serving of spaghetti.

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The total cost of the deal for the router for Tina is given by A = $ 1059.81

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the total cost of the deal be represented as A

Let the initial price of the router be = $ 39.99

Now , the percentage of discount for the router = 15 %

So , the final cost of the router = ( 85/100 ) x 39.99

On simplifying , we get

The final cost of the router = $ 33.9915

Now , the number of months = 18 months

The contract rate = $ 56.99 per month

So , the total contract rate for 18 months = 18 x 56.99

The total contract rate for 18 months = $ 1,025.82

Now , total cost of the deal A = final cost of the router + total contract rate for 18 months

On simplifying the equation , we get

The total cost of the deal A = $ 1,025.82 + $ 33.9915

The total cost of the deal A = $ 1059.8115

The total cost of the deal A = $ 1059.81

Hence , the total cost of the deal is $ 1059.81

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Answer:

it's 48 I think that's the answer for the question.

The values of the limits of g(x) as x approaches 33 minus and 33 plus can be determined by examining the table of values and looking for the values of g(x) as x gets closer and closer to 33 from the left and the right sides.

As x approaches 33 from the left (i.e., values of x slightly less than 33), we can see from the table that the values of g(x) decrease from -7 to -16. Therefore, the limit of g(x) as x approaches 33 from the left is -16.

As x approaches 33 from the right (i.e., values of x slightly greater than 33), we can see from the table that the values of g(x) increase from -6.1 to -7. Therefore, the limit of g(x) as x approaches 33 from the right is -7.

Therefore, the correct answer is:

Limit of g(x) = negative 16 as x approaches 33 minus and limit of g(x) = negative 7 as x approaches 33 plus.

The system of inequalities graphed is given as follows:

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The lower bound of the graph is a horizontal line at y = -1, hence:

y > -1.

For the upper bound of the graph, we have a linear function with these following parameters:

The upper bound is also a closed interval, as the line is solid, hence:

y ≤ -x + 1.

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The length of BC  in the triangle is 24 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Therefore, using proportion,

BC / x = 12 / x - 4 = x + 7 / 5

12 / x - 4 = x + 7 / 5

cross multiply

12 × 5 = (x - 4)(x + 7)

60 = x² + 7x - 4x - 28

x² + 3x - 28 - 60 = 0

x² + 3x - 88 = 0

x² - 8x + 11x - 88 = 0

x(x - 8) + 11(x - 8) = 0

(x + 11)(x - 8) = 0

Therefore,

x = - 11 and x = 8

Hence,

BC / x = 12 / x - 4

BC / 8 = 12 / 8 - 4

BC / 8 = 12 / 4

4BC = 96

BC = 96 / 4

BC = 24 units

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