On your fifteenth birthday you discover you have a rich aunt sally aunt sally is a very generous women and wants to provide for your future she has decided that she will initially give you $1 then $2 the next year and so on doubling the amount each year until your 30. After 15 years how much money will aunt sally pay you for your birthday ?

On solving the provided question, we can say that - the value of the function is f(x) = [tex]x^2 + 9 + 3x -5[/tex] = [tex]x^2 +3x +4[/tex]; f(x) = x= it doesn't factor

The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.

f(x) = [tex](x+3)^2 - 5[/tex]

f(x) = [tex]x^2 + 9 + 3x -5[/tex] = [tex]x^2 +3x +4[/tex]

f(x) = x= it doesn't factor



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Option C is correct, the parent function represented by the table is f(x) = x.

A relation is a function if it has only One y-value for each x-value.

Looking at the table, we can see that when x is negative, the values of y are negative and increase as x approaches zero.

When x is positive, the values of y are positive and increase as x increases.

Moreover, the values of y increase faster than x.

This behavior is typical of the parent function f(x) = x.

Hence, the parent function represented by the table is f(x) = x.

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Total = 240+240 = 480 potential combinations with a red shirt, green pants, and a green hat, or a green shirt, red pants, and a red hat, respectively.

The total number of possible outcomes for all four of these scenarios is 208, which is equivalent to 64 + 64 plus 16 plus 64. Consequently, we have a total of 120 different costumes to choose from (8 + 5 + 3).              8 × 5 × 3 = 120 . Given that you have 4 options for shirts, 3 options for shorts, and 2 options for shoes, the formula should be formatted as         4 × 3 ×2. You now have 24 wardrobe choices.

A "set" is made up of one top and one bottom. Since every bottom can be worn with every top, multiplying the tops by the bottoms gives us the total number of possible outfit combinations. Since dresses often aren't worn with tops or bottoms, they are introduced after the multiplication has occurred.

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Answer:

2000+ 300 + 65 = 2,365

Step-by-step explanation:

Answer:

2000 + 300 + 65 = 2365

The value of Isabel's account after three years can be calculated using the future value of the annuity formula.

Isabelle's budget car is:

Reason:

Monthly savings, PMT = $200

Account compound interest, r = 1.7%

t = Account value after 3 years is displayed as increase.

We know that:

[tex]FV =PMT * \frac{[(1+i)^n -1]}{i}[/tex]      --------------------- (1)

Where;

    i = r/12

⇒ n = 12 × t

From the above equation(1), we get:

[tex]FV =200 * \frac{[(1+\frac{1.7}{2} )^{12*3} -1]}{\frac{1.7}{12} }[/tex]

    ≈ 7381.4

Therefore,

The budget cars she can buy, those that require a down payment of less than $7,381.4, which  are:

The required down payment of choice 02 is $6200.

The required down payment of choice 03 is $5100.

The required down payment of choice 04 is $7250.

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answer:

25°

explanation:

triangle total: 180°

right angle: 90°

90 + 65 = 155

180 - 155 = 25

hope this helped!

Answer:

all of these option 4 is correct

Answer:

The answer is the ( are )

Step-by-step explanation:

The probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.

What is the probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event.

In this problem, the event of interest is the intersection of the two diagonals lying inside the nonagon. A nonagon is a 9-sided polygon, so there are 9 total corners, each of which can be one end of a diagonal. Therefore, there are 9 choose 2 = 36 total ways to choose two diagonals.

To find the number of favorable outcomes, we need to find the number of ways to choose two diagonals such that their intersection is inside the nonagon. To do this, we can notice that the diagonals that have an intersection inside the nonagon are the diagonals that connect non-adjacent corners of the nonagon. There are 8 non-adjacent corners, so there are 8 choose 2 = 28 ways to choose two non-adjacent corners.

So the probability of the intersection of the two diagonals lying inside the nonagon is:

P(intersection inside nonagon) = favorable outcomes / total outcomes = 28/36 = 2/3

Hence, the probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.

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The probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.

What is the probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event.

In this problem, the event of interest is the intersection of the two diagonals lying inside the nonagon. A nonagon is a 9-sided polygon, so there are 9 total corners, each of which can be one end of a diagonal. Therefore, there are 9 choose 2 = 36 total ways to choose two diagonals.

To find the number of favorable outcomes, we need to find the number of ways to choose two diagonals such that their intersection is inside the nonagon. To do this, we can notice that the diagonals that have an intersection inside the nonagon are the diagonals that connect non-adjacent corners of the nonagon. There are 8 non-adjacent corners, so there are 8 choose 2 = 28 ways to choose two non-adjacent corners.

So the probability of the intersection of the two diagonals lying inside the nonagon is:

P(intersection inside nonagon) = favorable outcomes / total outcomes = 28/36 = 2/3

Hence, the probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.

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Answer:

90%

Step-by-step explanation:

You convert 456/240 into a percentage and get 190%, then taking out the extra 100%

Answer:

Step-by-step explanation: The answer is 47% because if you divide 240 and 456 you get 98 and if you minus 98 by 51 you get 47.

If 120% of a number is 24, then the number is 5.

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

We need to find the number whose 120% of a number is 24.

Let the number be considered as x

120% is converted to decimal by dividing 120 with 100

120/100=1.2

Now multiply 1.2 by x which is equal to 24

1.2x=24

Divide both sides by 1.2

x=0.05

Now multiply it with 100 as it is a hundredth part

0.05×100=5

Hence, If 120% of a number is 24, then the number is 5.

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Answer:

It is exponential

Step-by-step explanation:

The width of the frame is 2.4 inches

Let w represent the width of the frame

Then the area of the frame is:

(w + 5)(w + 7) = 69.56

Rewrite it in Standard form of a quadratic equation:

w² + 12w + 35 = 69.56

w² + 12w - 34.56 = 0

Use Quadratic Formula to solve for w:

w =  (-b±√(b²-4ac))/(2a)

w =  (-12±√(12²-4×1×(- 34.56)))/(2×1)

w = (-12±√(144+138.24))/(2)

w = (-12±16.8)/2

w = -6 ± 8.4

w = -6 + 8.4 or -6-8.4

w = 2.4 or w = -14.4

Since the width cannot be negative.

Thus, w = 2.4 inches

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The significance of the difference between the two groups under comparison will increase as the p-value decreases. The significance of the difference between the two groups under comparison will increase as the t-value rises.

A difference that is "statistically significant" does not necessarily have to be "large, important, or significant in terms of the utility of the finding"; it simply means that there is statistical evidence that there is a difference.

In general, when the null hypothesis H0 is true, our sample results could have happened by random chance alone when the p-value is "high" (i.e. greater than or equal to the significance level).

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Answer:

The common difference is 4.

Step-by-step explanation:

Answer:

[tex]A=\pi \frac{d^2}{4}[/tex]

Step-by-step explanation:

The typical equation for the area of a circle is [tex]A=\pi r^2[/tex]. Since the answer choices are in terms of d, the diameter of the circle, you will need to find r in terms of d.

To find r in terms of d, you know that the diameter of a circle is two times its radius. As an equation, this is

[tex]d=2r[/tex], or solving for r,

[tex]r = \frac{d}{2}[/tex].

Now that you have an equation for r in terms of d, you can substitute r with [tex]\frac{d}{2}[/tex] from the original equation.

[tex]A=\pi r^2[/tex]

[tex]A=\pi (\frac{d}{2})^2[/tex]

[tex]A=\pi \frac{d^2}{4}[/tex]

There's a theorem for this scenario that says the average of the measures of arcs AC and BD is equal to the measure of the angle formed by the chords AB and CD. In particular,

90° = 1/2 (arc AC + arc BD)

90° = 1/2 (arc AC + 126°)

90° = 1/2 arc AC + 63°

1/2 arc AC = 27

arc AC = 54°

Answer:

Step-by-step explanation:

91

As you can see 91 is the largest 2 digit multiple of 13 as the next multiple is 104 which is a 3 digit number.

The stated statement states that 139 of said animals Margie counted had two legs, mostly two-legged birds.

An arithmetic value used to compute and portray a quantity would be a number. In writing, numerical symbols like "3" are used to represent numbers. A decoder is a logical approach the portray a number using digits or symbols.

Assume that there are x two-legged birds and y four-legged animals. Now, we can employ equation systems to find a solution to this issue.

Enter two equations here:

2x + 4y = 522

x + y = 200

Add two to the latter equation now.

2x + 4y = 522

2x + 2y = 400

We discover that; by deducting the following equations from the first equation.

2y = 122

y = 61

There were 139 two-legged birds due to the 200 heads, which indicated a total of 200 animals.

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The complete question is-

The Fort Worth Zoo has a number of two-legged birds and a number of four-legged mammals. On one visit to the zoo, Margie counted 200 heads and 522 legs. How many of the animals that Margie counted were two-legged birds?

A). 61

B). 122

C). 139

D). 150

E). 161

Answer:

D

Step-by-step explanation:

To get x * 1 point, the product of X and 2 should have x added to it.

let us assume unknown value = y

2x+y=x

y=x-2x

y=-x

so if we add "-x" in the product of x and 2 we get x

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

These expressions are represented with the help of unknown variables, constants and coefficients. The combination of these three (as terms) is said to be an expression. It is to be noted that, unlike the algebraic equation, an algebraic expression has no sides or equal to sign.

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Answer:

C

Step-by-step explanation:

The inequality that describes these points is y ≤ -1/2(x) -3. The graph is given the attachment.

To graph a linear inequality in two variables (say, x and y), start with y on one side. Consider the related equation obtained by changing the inequality sign to an equality sign. This equation's graph is a straight line.

If the inequality is strict (< or >), draw a dashed line. If the inequality is not strict (≤ or ≥), draw a solid line.

Finally, choose one point that is not on either line ((0,0) is usually the easiest) and determine whether these coordinates satisfy the inequality or not. If they do, shade the half-plane containing that point. If they don't, shade the other half-plane.

Graph each of the system's inequalities in a similar way.

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Answer:

I think that the answer is 9 choices.

Step-by-step explanation:

I am not sure but I hope that this helps you. Please mark me brainliest if I am right.  Please forgive me if I am wrong! ):

The fraction expression as a product expression is 1/2 * 2/5

From the question, we have the following parameters that can be used in our computation:

A mathematical expression

The mathematical expression is given as

1/5

In this case, the expression is a fraction

Using the above as a guide, we have the following:

Fraction = 1/5

Multiply the fraction by 1

So, we have the following representation

Fraction = 1/5 * 1

Express 1 as 2/2

This gives

Fraction = 1/5 * 2/2

Swap the factors of the expression

This gives

Fraction = 1/2 * 2/5

Hence, the product expression is 1/2 * 2/5

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Answer:

comost eawewqeq

Step-by-step explanation:

wqqweqe

The equation of a circle is (x+3)² + (y+5)² = 4² with a center at (-3,-5).

The equation of a circle with center (h,k) and radius r is :

r² = (x−h)² + (y−k)²

The center is approximated to lie at the position (-3,-5) in the graph below with the axes of symmetry. The points of intersection of the circle with any of the two axes (broken lines) provide a diameter of around 8 units, and so the radius is half the diameter, which is 4 units.

The equation of the circle whose graph is given below is:

(x+3)² + (y+5)² = 4²

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Answer:

169

Step-by-step explanation:

You should know that the middle number with the x is double the original number not in expanded form. You should also know that in the expanded form, the last number is the square of the original number. So square(26/2) = 169.

Answer:

r^2 + 26r = (r + 13)^2 - 169

Step-by-step explanation:

r^2 + 26r + (26/2)^2 - (26/2)^2, or

r^2 + 26r + 13^2 - 13^2, or

(r^2 + 26r + 169) - 169

So r^2 + 26r = (r + 13)^2 - 169

Note:  the coefficient of r is 26.  We take half of that, obtaining 13, and then square the result:  13.