Complete the equation describing how x and y are related.I’m a little confused on how to figure out the ? Answer:)

The next number in the sequence 1, 2, 6, 22 is 86.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The given sequence is 1, 2, 6, 22

Consider the provided sequence 1, 2, 6, 22, ____ ?

Observe the pattern of the sequence.

To obtain the sequence you need to add the next even square of 2 in the previous number.

1+2⁰=2

Now the next even number is 2.

2+2²=6

Now 6+2⁴=6+16=22

Therefore, the next number should be:

22+2⁶=86

Hence, the next number in the sequence 1, 2, 6, 22 is 86.

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Answer:

The right graph (the one on your right side)

Step-by-step explanation:

The major difference is on the left graph it says 6 pieces of data between 21-30 and the right graph says 3 pieces between 21-30. There are actually 3 pieces of data between 21-30 so the right graph is correct.

Answer:

145

Step-by-step explanation:

You told me 0-o

Answer:

After 4 weeks, she has $145 dollars left in her bank account.

Step-by-step explanation:

Week 1 = 225 - 20 = 205

Week 2 = 205 - 20 = 185

Week 3 = 185 - 20 = 165

Week 4 = 165 - 20 = 145

The amount of substance present determines the extent of the properties. Extensive properties include volume, size, mass, length, and weight.

An extensive property is one that is influenced by the quantity of matter in a test.  The vastness of a system is determined by its scale or the volume of materials contained within it. Extensive properties are those in which the value of a system's property equals the sum of the importance of its constituents.

The extent of a system is determined by its size or the amount of matter in it. The value of a system's property is said to be extensive if it equals the sum of the values of the system's parts.

There are properties of matter that are affected by the quantity or size of the matter, such as length, mass, volume, weight, and so on; these are known as extensive properties of matter, and their value changes as the size or quantity of matter changes.

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Answer:

7 tickets

Step-by-step explanation:

First, do 173 - 5 which is 168

Then, divided 168 by 24

That is equal to 7

You and ur friends ordered 7 tickets!

Hope this helps! :)

Answer:

Part A: $3,415.50

B: 11.34%

Step-by-step explanation:

Part A: $31,000 is within the values 10,276≤x≤41,175, so use f(x)=0.12x-205.50

Part B: For the effective tax rate, divide the amount in part A by the taxable income

Part C: Compare both the taxable income and the effective tax rate to the income domains given and the % multiplier. This one is mostly about how you describe the situation, so I'll leave that up to you.

To calculate the taxes owed on a taxable income of $31,000, we use the appropriate equation for the tax bracket it falls into and substitute the value of x. The effective tax rate is calculated by dividing the amount of taxes owed by the taxable income and multiplying by 100. The piecewise function represents the marginal tax rate chart by using different equations for each tax bracket.

Part A:

To calculate the amount of taxes owed on a taxable income of $31,000, we need to determine which tax bracket it falls into. Since $31,000 is greater than $10,275 but less than $41,175, it falls into tax bracket 2. To find the amount of taxes owed, we use the equation for tax bracket 2: f(x) = 0.12x - 205.50. Plugging in $31,000 for x, we get:

f(x) = 0.12 * 31000 - 205.50 = $3,574.50

Therefore, the amount of taxes owed on a taxable income of $31,000 is $3,574.50.

Part B:

To determine the effective tax rate, we divide the amount of taxes owed by the taxable income. Using the result from Part A (taxes owed = $3,574.50) and the taxable income of $31,000, we have:

Effective tax rate = (taxes owed / taxable income) * 100 = (3,574.50 / 31,000) * 100 ≈ 11.52%

Therefore, the effective tax rate on a taxable income of $31,000 is approximately 11.52%.

Part C:

The piecewise function represents the amount of taxes owed as a function of the taxable income. Each part of the function corresponds to a different tax bracket, with the equation for that tax bracket. The marginal tax rate chart is represented in the piecewise function by the different equations for each tax bracket. For example, the equation in part 1 of the function (f(x) = 0.10x) corresponds to the 10% marginal tax rate for the tax bracket $0-$10,275.

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Answer:

I think it is????

Answer:

No, it is not.

An irrational number is real number that cannot be expressed as a ratio of two integers. The number pi or π is a common example of an irrational number since it has an infinite number of digits after the decimal point. Many square roots are also irrational since they cannot be reduced to fractions.

The perimeter of the right triangle is 26 units.

From the given graph, the measure of side AB= 8 units and the measure of side BC= 7 units.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

By Pythagoras theorem,

AC²=AB²+BC²

⇒ AC²=8²+7²

⇒ AC²=113

⇒ AC=10.63

≈ 11 units

Perimeter =AB+BC+AC

= 8+7+11

= 26 units

Therefore, the perimeter of the right triangle is 26 units.

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Answer:

\((-14,4)\)

Step-by-step explanation:

Given

\((-14,12)\)   \(\to\)    \(y =f(x)\)

\(g(x) = \frac{1}{3}f(x)\)

Required

The corresponding point on \(y = g(x)\)

\((-14,12)\)   \(\to\)    \(y =f(x)\) means:

\(12 = f(-14)\)

or

\(f(-14)=12\)

\(g(x) = \frac{1}{3}f(x)\) is calculated

\(g(-14) = \frac{1}{3} * f(-14)\)

\(g(-14) = \frac{1}{3} * 12\)

\(g(-14) = 4\)

So, the corresponding point on \(y = g(x)\) is: \((-14,4)\)

The cruise ship's resultant velocity is approximately 22.67 mph, and its direction is approximately 10.2 degrees south of east.

To find the resultant direction, we can use vector addition. Let's represent the southward velocity of the cruise ship as vector A and the eastward velocity of the Gulf Stream as vector B.

Given:

Magnitude of vector A (southward velocity of the cruise ship) = 22 mph

Magnitude of vector B (eastward velocity of the Gulf Stream) = 4 mph

To find the resultant velocity, we add the two vectors together. Since the vectors are perpendicular to each other, we can use the Pythagorean theorem to find the magnitude of the resultant vector:

Resultant velocity = √(A^2 + B^2) = √(22^2 + 4^2) ≈ 22.67 mph

Now, to find the direction of the resultant vector, we can use trigonometry. The angle between the resultant vector and the south direction can be calculated as:

θ = arctan(B / A) = arctan(4 / 22) ≈ 10.17 degrees

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Answer:

Step-by-step explanation:

18 - 7x = -20.5

18 + 20.5 = 7X

38.5 = 7X

X = 38.5/7

X = 5.5

The range of the function for the given domain is {-12, 0, 3}.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

If the domain of f(x) is {-2,0,1}, we can evaluate the function for each value in the domain:

When x = -2:

f(-2) = -(-2)² + 4(-2) = -4 - 8 = -12

When x = 0:

f(0) = -(0)² + 4(0) = 0

When x = 1:

f(1) = -(1)² + 4(1) = 3

Therefore, the range of the function for the given domain is {-12, 0, 3}.

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Reason:

Divide the dollar amount over the number of hours to get the hourly rate (aka unit rate)

14/3 = 4.67 approximately

Answer:

x = 58.03°

Step-by-step explanation:

Given:

Solve for x:

1. \(x=cos^{-1}(\frac{9}{17})=58.03\)

Answer:

So, the measure of angle x is equal to 58.03.

The transformations to the parent function f(x) = x² to generate g(x) = 2x² - 4 are given as follows:

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The transformations to the parent function in this problem are given as follows:

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Answer:

no solution

Step-by-step explanation:

This is because they never intersect so there is no solution.

Answer:

no solution

Step-by-step explanation:

i would be so scared

========================================================

Explanation:

On the left side, there are two blocks labeled "y". This represents y+y which turns into 2y.

On this same side, we have three blocks labeled "1". So 1+1+1 turns into 3

Overall the expression for the left side is 2y+3

The right side is formed in the same way, just with different values.

On the right we have four "y" blocks leading to 4y. We also have two "1" blocks leading to 1+1 = 2. The expression for the right side is 4y+2

Ultimately we end up with the equation 2y+3 = 4y+2

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

The arc subtended by the marked angle is ...

  360° -226° = 134°

The measure of the marked angle is half this, so we have ...

  15x -8 = 134/2

  15x = 75 . . . . . . . add 8

  x = 5 . . . . . . divide by 15

Answer:0.8p+1 and 1+0.8p

Step-by-step explanation:

0.5p+0.3p=0.8p

7-6=+1

0.8p+1

and

Swap both numbers

(0.5p+7)+(0.3p-6)=1+0.8p

There is no three-digit whole number that has exactly five positive factors.

The prime factorization of a number with five factors will be of the form p⁴ or p²q, where p and q are distinct prime numbers.

p⁴:

The smallest prime number greater than or equal to 10 is 11.

So, let's consider 11⁴:

11⁴ = 14641 (which is a five-digit number)

p²q:

To minimize the number, we need the smallest prime numbers possible. The two smallest prime numbers greater than 10 are 11 and 13.

Let's consider the product of these two primes:

11² × 13 = 1573 (a four-digit number)

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Answer:

e. An online retailer reaches out only to its customers who have left positive reviews for its product and asks them to complete a survey of their experience with the retailer's products

Step-by-step explanation:

A sampling error happens when a sample has some kind of a bias.

One example is for example, sampling only members of one political party about a new bill.

In this question:

The correct answer is given by option e, because the retailer will have the opinions only from those with positive reviews, basically disconsidering those with negative reviews, and not giving them a clear idea of their service.

Answer:

1/3

Step-by-step explanation:

The coefficient of \(x^{7}\) is 16796160.

For this, we have to find the coefficient of \(x^{7}\) in \((3x+4)^{10}\)

General Term: This term symbolizes all of the terms in the binomial expansion of (x + y)^n.

The general term in the binomial expansion of (x + y)^n is

T(r+1) = nCr x^(n-r)y^r.

Here the r-value is one less than the number of the term of the binomial expansion. Also, nCr is the coefficient, and the sum of the exponents of the variables x and y is equal to n.

We can use the general term for this.

\(T_{r+1} = (nCr) a^{n-r} x^{r}\)

Since we have to find  \(x^{7}\),

\(T_{3+1} = (10C3)(3x)^{7} 4^{3} \\T_{3+1} = [(10C3)3^{7} 4^{3} ]x^{7}\)

This is the coefficients of \(x^{7}\)

Calculating,

10C3 = 120 (using combinations)

\(3^{7} = 2187\\4^{3} = 64\)

Therefore, multiplying the 3,

Coefficients of \(x^{7}\) = 120 * 2187 *64

= 16796160

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Answer:

c

Step-by-step explanation:

Which shows the pre-image of quadrilateral W'X'Y'Z' before the figure was rotated according to the rule (x, y) → (–x, –y)?

On a coordinate plane, a quadrilateral has points W prime (2, 3), X prime (6, 3), Y prime (6, 4), Z prime (3, 5).

On a coordinate plane, a quadrilateral has points W (negative 3, 2), X (negative 3, 6), Y (negative 4, 6), Z (negative 5, 3).

On a coordinate plane, a quadrilateral has points W (3, negative 2), X (3, negative 6), Y (4, negative 6), Z (5, negative 3).

On a coordinate plane, a quadrilateral has points W (negative 2, negative 3), X (negative 6, negative 3), Y (negative 6, negative 4), Z (negative 3, negative 5).

On a coordinate plane, a quadrilateral has points W (negative 3, negative 2), X (negative 3, negative 6), Y (negative 4, negative 6), Z (negative 5, negative 3).

The resulting coordinate point of the pre-image will be at W'(2, 3), X'(6, 3), Y'(6, 4) and Z'(3, 5)

Rotation is a transformation technique of changing the position of an object on an xy-plane.

Given the coordinate of the figure WXYZ below;

W = (-2, -3)

X = (-6, -3

Y = (-6, -4)

Z = (-3, -5)

If the coordinate is rotated according to the rule (x, y) → (–x, –y), the resulting coordinate point of the pre-image will be at W'(2, 3), X'(6, 3), Y'(6, 4) and Z'(3, 5)

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