Fines for illegal parking in east overshoe are $10. however, for each day the fine goes unpaid, the fine increases by $1. write the big-o notation for this growth rate.

Answer:

Pink is the least likely to be chosen because it has the lowest frequency.

Step-by-step explanation:

Refer to the attachment! v

Answer:

the y intercept is y

Step-by-step explanation:

because we have the variable already/////

The second differences for the quadratic function y = 5x² - 2 are constant and equal to 14, suggesting that the second differences of quadratic functions remain constant.

To make a table of second differences for the polynomial function y = 5x² - 2, we need to first find the first differences and then find the second differences.
First, let's find the first differences:
x: 1   2   3   4   5
y: 3   18  47  90  147
The first differences are obtained by subtracting each y-value from its previous y-value:
First differences: 15   29  43  57
Next, let's find the second difference:
x: 1   2   3   4
y: 15  29  43  57
The second differences are obtained by subtracting each first difference from its previous first difference:
Second differences: 14  14  14
Now, let's make a conjecture about the second difference of quadratic functions. From the table, we can observe that the second differences are constant (14 in this case). This indicates that the original function y = 5x² - 2 is a quadratic function. In general, the second differences of quadratic functions are constant.

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Answer:

5.8 meters

Step-by-step explanation:

The formula to calculate this is given as:

Height/ Shadow

Shadow of the pole = 25.5 m

Height of the pole = x m

Tim's shadow = Height of the pole - Tim's distance

25.5 m - 15.4 m = 10.1 m

Tim's height = 2.3 m

Hence:

x/25.5 = 2.3/10.1

Cross Multiply

10.1x = 25.5 × 2.3

x = 25.5 × 2.3/10.1

x = 5.8069306931 m

Approximately = 5.8m

Hence, the height of the flagpole = 5.8m

Answer: Sitting fee - 32$

Step-by-step explanation:

This is a system of equations(let x represent the sitting fee)

x+6y=50

x+11y=65

You want to isolate the x variable - x+6y-6y=50-6y ; x = 50-6y

Input this into the 2nd equation: 50-6y+11y=65 ; 50+5y=65

Subtract 50 from both sides. 5y=15 (Divided 5y on both sides) ; y=3

Now that y = 3 input this into any equation I choose the 1st one.

x+6(3) = 50 ; x + 18 = 50 (Subtract 18 on both sides to get x)

x = 32

Prove: 32 + 6(3) = 50 ; 32+18 = 50 ; 50 = 50 True

95% confidence interval for the population mean is 170.2 to 189.8, option d is correct.

We are given the following information:

- Sample size (n) = 225
- Standard deviation (σ) = 75
- Sample mean (x) = 180
- Confidence level = 95%

We need to calculate the 95% confidence interval for the population mean (μ). To do this, we will use the formula:

Confidence interval = x ± (z × σ/√n)

First, we need to find the z-score that corresponds to a 95% confidence level. For a 95% confidence interval, the z-score is 1.96 (you can find this value in a standard z-score table).

Now, we can plug in the values we have:

Confidence interval = 180 ± (1.96 × 75/√225)

Calculate the standard error (σ/√n):

Standard error = 75/√225 = 5

Now, calculate the margin of error (z * standard error):

Margin of error = 1.96 × 5 = 9.8

Finally, calculate the confidence interval:

Confidence interval = 180 ± 9.8 = (170.2, 189.8)

So, the 95% confidence interval for the population mean is 170.2 to 189.8, which corresponds to option d.

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Answer:

The answer is a since non of the other answer would go throught that point

Hope This Helps!!!

Answer:

(36+22+19)=77

then add red and yellow

=(36+22)

=58

then the probability will be

58/77

HOPE IT HELP YOU.......

Answer:

\(x^{\frac{5}{3} }\)

Step-by-step explanation:

\(\frac{2}{3} *\frac{5}{2} \\\\\frac{5}{3}\)

Answer: B, C  and E

Step-by-step explanation:

If $30,000 invested in this CD will be worth approximately $37,804.41 in 10 years.

To calculate the value of the CD after 10 years with continuous compounding, we can use the formula:

A = P * e^(rt)

Where:

A = the final amount or value of the investment

P = the principal amount (initial investment)

e = the mathematical constant approximately equal to 2.71828

r = the interest rate (as a decimal)

t = the time period (in years)

In this case, we are given that $30,000 is invested in a 10-year CD with a continuous compounding interest rate of 2.31% (or 0.0231 as a decimal). Let's plug in these values into the formula and calculate the final amount:

A = $30,000 * e^(0.0231 * 10)

Using a calculator, we can evaluate the exponent:

A ≈ $30,000 * e^(0.231)

A ≈ $30,000 * 1.260147

A ≈ $37,804.41

Therefore, after 10 years, the investment in the CD will be worth approximately $37,804.41.

To explain, continuous compounding is a concept in finance where the interest is compounded instantaneously, resulting in a continuous growth of the investment.

In this case, since the CD offers continuous compounding at an interest rate of 2.31%, we use the formula A = P * e^(rt) to calculate the final amount. By plugging in the given values, we find that the investment of $30,000 will grow to approximately $37,804.41 after 10 years.

It's important to note that continuous compounding typically results in a slightly higher return compared to other compounding frequencies, such as annually or semi-annually. This is because the continuous growth allows for more frequent compounding, leading to a higher overall interest earned on the investment.

Therefore, by utilizing continuous compounding, the bank offers a higher potential return on the investment over the 10-year period compared to other compounding methods.

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Answer:

46

Step-by-step explanation:

Answer:

The absolute value of | 46 | is 46.

Step-by-step explanation:

When in math there are a bunch of signs to watch out for including (), [], {}, and ||. In this problem a number is in the straight lines which makes it positive always. Even if we had the number |-46| the straight lines mean that it converts it into a positive number.

Hope this helps!

Answer:

\(u(2) = 3\).

Step-by-step explanation:

A function \(f: A \to B\) is a set of ordered pairs (\(2\)-tuples in the form \((a,\, b)\)), such that for any \(a \in A\), there is exactly one \(b \in B\) such that \((a,\, b) \in f\).

In other words, for any element \(a\) in the domain of this function, there must be exactly one ordered pair with this \(a\!\) as the first element.

If \(f\) meets these requirements, then for any \(a \in A\) and \(b \in B\), write \(f(a) = b\) if and only if \((a,\, b) \in f\).

In other words, write \(f(a) = b\) (\(f\) maps \(a\) to \(b\)) if and only if there is an ordered pair in \(f\!\) with \(a\!\) as the first element and \(b\!\) as the second element.

The \(u\) in this question is indeed a set of ordered pairs and meet the requirements for being a function from \(\lbrace 1, 2, 3\rbrace\) to \(\lbrace 2,\, 3,\, 4 \rbrace\).

The question is asking for the value of \(u(2)\). Thus, it would be necessary to find an ordered pair in \(u\) with \(2\) as the first element.

The only ordered pair in \(u\) with \(2\) as the first element is \((2,\, 3)\). Thus, \(u\!\) maps \(2\!\) to \(3\!\), such that \(u(2) = 3\).

Answer:

\(x = -1\frac{1}{2}\)

Step-by-step explanation:

Given

See attachment

Required

The x coordinate of P

When point P is traced to the x axis, it lands on -1.5

So:

\(x = -1.5\)

Express as fraction

\(x = -\frac{3}{2}\)

\(x = -1\frac{1}{2}\)

Answer:

Ya dig?

Step-by-step explanation: You gon choose me baby.

Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

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Answer:

Step-by-step explanation:

volume = ⅓×8×7×6 = 112 in³

Answer:

168

Step-by-step explanation:

Answer: 24x + 8x - 80

Step-by-step explanation: ohh its right

The identities among the given statements are:

tan x = sin x / cos x

sin x / tan x = cos x

We have,

Let's analyze each of the given statements to determine whether they are identities:

tan x = sin x / cos x:

This is an identity.

It is known as the fundamental identity of trigonometry, as it holds true for all values of x (except when cos x is equal to 0).

tan x cos x = sin x:

This is not an identity.

It is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.

cos x = tan x sin x:

This is not an identity.

Similar to the previous statement, it is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.

sin x / tan x = cos x:

This is an identity.

It can be derived from the fundamental identity by dividing both sides by cos x, resulting in sin x / cos x = cos x / cos x, which simplifies to sin x / tan x = cos x.

Thus,

The identities among the given statements are:

tan x = sin x / cos x

sin x / tan x = cos x

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Answer:

$60 per ticket

Step-by-step explanation:

$215 is what it costs after the discount, so add the amount taken off, back on.

215+25

 240

Then, divide by 4 to find the cost of each individual ticket.

240/4

60

Hope it helps!

Answer:

Angle Bisector Construction

Step-by-step explanation:

The line in the center of the angle is bisecting said angle.

For the quadratic equation:

x^2 + 7x = 8x + 12

The two solutions are:

x = 4

x = -3

I'm only solving the first question, as it is how the guidelines say.

Here we have the quadratic equation:

x^2 + 7x = 8x + 12

First, we can rewrite this equation as:

x^2 + 7x - 8x - 12 = 0

x^2 - x - 12 = 0.

Using Quadratic formula we can see that the solutions (or zeros of the quadratic) are:

x = (1 ± √(  (-1)^2 - 4*1*-12))/(2*1)

x = (1 ± 7)/2

Then the two solutions are:

x = (1 + 7)/2 = 4

x = (1 - 7)/2 = -3

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Answer:

true

Step-by-step explanation:

Let us calculate the determinant of this quadratic equation:

Δ = b^2 - 4ac = 16-4*(-1)*(-4) = 0

The equation has one solution

x = -b/2a = 2

Answer:

C

Step-by-step explanation:

So we have the function:

\(h(t)=120t-16t^2\)

Where h(t) measures the height after t seconds.

To find the height of the object after 6 seconds, substitute 6 for t. So:

\(h(t)=120(6)-16(6)^2\)

Evaluate. Square:

\(h(t)=120(6)-16(36)\)

Multiply:

\(h(6)=720-576\)

Subtract:

\(h(6)=144\)

So, the height after six seconds of the object is 144 ft.

Our answer is C.

Answer:

D

Step-by-step explanation:

Hope this help u

Answer:

c

Step-by-step explanation:

I HAD COMPLETED the test when I REMEMBERED the correct answer.

(remembered is a past tense. Therefore it's more appropriate to use "had completed")

Answer:

y= -1x+1

Step-by-step explanation:

Slope and y intercept

Answer:

-x+1

Step-by-step explanation:

The slope is negative, it is heading downwards.

The slope also only has a value of 1, the y-value decreases by one for every increase of the x-value. (-1/1)

This graph is shifted upwards by one which is why 1 is the b-value.

Answer:

x2+2x−132x2+16

Step-by-step explanation:

First, let's simplify the expression by combining like terms:

x - 7x^2 + 8 - x^2 - x + 6x^2 + 8

= -7x^2 + 5x^2 - x^2 + x + 16

= -x^2 + 2x + 16

Now we need to factor the quadratic expression -x^2 + 2x + 16. We can use the quadratic formula or complete the square to find the roots, but it turns out that the expression doesn't factor nicely. However, we can rewrite it as -(x^2 - 2x - 16) and then use the quadratic formula to find the roots of the expression inside the parentheses:

x = (-(-2) ± sqrt((-2)^2 - 4(-16)))/(2(1))

x = (2 ± sqrt(68))/2

x = 1 ± 2sqrt(17)/2

x = 1 ± sqrt(17)

So we have:

-x^2 + 2x + 16 = -(x - (1 + sqrt(17)))(x - (1 - sqrt(17)))

Therefore, the expression is equal to -x^2 + 2x + 16, which corresponds to the option:

x^2 + 2x - 13 / 2x^2 + 16