A parking garage charge $1. 72 for the firt hour and $0. 50 for each additional hour or part of an hour. What i the maximum length of time Tom can park in the garage if he wihe to pay no more than $3. 22?

Answer:

it will be the same point as C was already in as it took a complete revolution around the origin

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Trust me its D the other guy is wrong

To plot the first 30 terms of the sequence given by an = 1/2(an−1 + an−2) with a1 = 1 and a2 = 2, we can use a loop to calculate the values of each term and store them in a list. Starting with the initial values a1 and a2, we iterate from n = 3 to n = 30, calculating each term using the recurrence relation. Here's the Python code to accomplish this:

import matplotlib.pyplot as plt

# Initialize the first two terms

a = [1, 2]

# Calculate the remaining terms

for n in range(3, 31):

   an = 1/2 * (a[n-2] + a[n-3])

   a.append(an)

# Plot the sequence

plt.plot(range(1, 31), a, marker='o')

plt.xlabel('n')

plt.ylabel('an')

plt.title('Plot of the Sequence')

plt.show()

The resulting plot will show the values of the sequence for n = 1 to n = 30. The sequence starts with the initial values 1 and 2, and each subsequent term is calculated as the average of the previous two terms multiplied by 1/2. As n increases, the values of the sequence fluctuate and may converge or diverge depending on the initial values.

Plotting the sequence helps visualize the pattern and behavior of the terms. It allows us to observe any trends, periodicity, or convergence that may exist in the sequence. In this case, we can see the pattern of alternating values as the sequence progresses.

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Score of 62.816 is the lowest score that can be earned in the California Police Officer Standards and Training test to be eligible to be hired by the agency.

We have a normal distribution of scores for the california peace officer standards and training Let X be the random variable representing scores for the California Police Officer Standards and Training test, X ~ Normal(50, 10²).

Mean = 50

Standard deviations = 10

Let x be the lowest score that can be earned to be eligible to be hired by the agency that is x is the lowest score than can be earned to get in top 10%. Therefore, P(X > x) = 0.10

P((X- 50)/10 > (x- 50)/10) = 0.10 (converting Normal variate to Standard Normal variate)

P(Z > (x - 50)/10) = 0.10 --(1)

From the Standard Normal Distribution table, P(Z > 1.2816) = 0.10 -- (2)

From comparing the equation (1) and (2),

=> (x- 50)/10 = 1.2816

=> x-50 = 12.816

=> x = 62.816

Thus, the required lowest score is 62.816.

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Problem N 7

Part A

Find out the measure of angle QRS

we have that

m by form a linear pair

m given

mmm

Part B

Find out the measure of angle Q

we have that

145=y+4y -----> by exterior angle theorem

solve for y

145=5y

y=29

Find out the measure of angle Q

mtherefore

The greatest common divisor (24,6) is 6 and the least common multiple (24,6) is 24.

As per the question statement, the greatest common divisor of two integers is (x+2) and the least common multiple x(x+2). It is given that one of the integers is 24.

Let us assume that "b" is the value of other one.

greatest common divisor(24,b) = (x+2)

least common multiple(24,b) = x(x+2)

Formula:

greatest common divisor(24,b)*least common multiple(24,b) = 24*b

24*b = (x+2)*x(x+2)

\(b = \frac{x(x+2)^{2} }{24} \\\)

Hence, the smallest possible value of the other one is "6" and x = 4.

Hence, the greatest common divisor (24,6) is 6 and the least common multiple (24,6) is 24.

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Answer: 0.11 cents a message

Step-by-step explanation:

Total of texts: 40

Total cost: $4.40

4.40/40

= 0.11

Answer:

Step-by-step explanation:

take 60 degree as reference angle

using cos rule

cos 60 = adjacent / hypotenuse

1/2 = 80/x

do cross multiplication

2*80 = x

160 = x

160.0 = x

Answer:

She fell asleep for 6% of the trip.

Step-by-step explanation:

You take 48 and divide it by 800. That gives you 0.06.

0.06 equals 6%.

Answer:

6%

Step-by-step explanation:

Divide 48 and 800 together.

48/800 = 0.06

48 is the miles she's sleeping and 800 is the total miles.

So, she was asleep only 6% of the trip.

Hope this helped.

The number of visitors that we must sample to construct a 95% confidence interval is (b) 1,030 visitors.

In order to construct the 95% confidence interval with a margin of error of  ±3%, we need to find the sample size that will give us a margin of error of 0.03 or less.

The formula used to find desired sample-size is :

⇒ n = (Z² × p × (1-p)) / (E²)

Where, n = required sample size

Z = Z-score for required level of confidence (1.96 for 95% confidence)

p = proportion of visitors who favor proposal;

E = margin of error = (0.03);

We don't know the value of p, So, we use the sample proportion as an estimate:

⇒ p' = 89/150 = 0.5933;

Substituting the values,

we get,

⇒ n = (1.96² × 0.5933 × (1-0.5933)) / (0.03²)
⇒ 1029.67 ≈ 1030.

Therefore, the number of visitors to sample is (b) 1,030 visitors.

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Therefore, the linear speed of the wheel on a bike is approximately 0.9π miles per hour.

The pace at which an object travels a specific distance in a predetermined amount of time is known as linear speed. By dividing the distance traveled by the time it takes to cover that distance, it may be used to determine how rapidly an item is travelling in a straight line. For instance, if a car moves 100 meters in 10 seconds, its linear speed is 10 meters per second. Linear speed is distinct from average speed, which takes into account any variations in velocity or direction throughout the duration of a voyage. Linear speed is also distinct from tangential speed, which is the pace at which an item travels along a circular route. Physics' fundamental idea of linear speed.

How to solve?

C=2πr,

C=2π(19)=38π.

linear speed of v=(38π/60)*5280=33.6π feet per second.

final speed of v=(33.6π/3600)*60=0.9π miles per hour.

Therefore, the linear speed of the bike is approximately 0.9π miles per hour.

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The properties of parallelogram of a quadrilateral:

When adjacent angles are congruent with each other and opposite sides are the same length, extra diagonals cut across them.

A quadrilateral becomes a parallelogram if one set of its opposite sides is congruent and parallel. If — BC — AD and — BC ≅ — AD , then ABCD is a parallelogram. A quadrilateral becomes a parallelogram if its diagonals cut each other in half.

A parallelogram's diagonals connect at their midpoint, which is the intersection of both diagonals.

The identity of the parallelogram of a quadrilateral can be determined in five distinct ways:

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Answer:

A Positive

Step-by-step explanation:

If we input the fraction given to us by using the text editor, we have:

\dfrac{b}{c}

OUTPUT:

\(\dfrac{b}{c}\)

The sign before that fraction term is known as positive.

Answer:

a. postive

Step-by-step explanation:

Yes, your analysis is correct. Based on the inequality 65x < 280 + 30x, you correctly simplified it to 35x < 280.

Given that an inequality 65x < 280 + 30x, we need to verify it,

You've correctly set up the inequality and solved it to find that for any amount of time less than 8 hours, it is cheaper to hire Hank's Movers. However, I would like to point out a small error in your calculations.

Let's go through the steps again:

The inequality you started with is:

65x < 280 + 30x

To get all the terms with x on one side of the inequality, subtract 30x from both sides:

65x - 30x < 280

Simplifying the left side of the inequality:

35x < 280

To solve for x, divide both sides of the inequality by 35:

x < 280/35

Simplifying further:

x < 8

So your conclusion is correct: for any amount of time less than 8 hours, it is cheaper to hire Hank's Movers.

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Answer:

C) The total fixed cost.

Answer:

18

Step-by-step explanation:

The radius is half of the diameter, so we would multiply 9 x 2 and get 18.

Hope this helps!

Answer:

1.9

Step-by-step explanation:

just put it into he calculator, because with 3 above the square root.

Answer:

Approximately 1.9 (rounded to the nearest tenth)

Step-by-step explanation:

First, we are left off with the equation:

\(y^{3} = 7\)

We know we want to solve for y. So, let's do the opposite of what is being done to y. In other words, let's find the cube root of \(y^{3} = 7\).

\(\sqrt[3]{y^3} = \sqrt[3]{7}\)

Then, the \(\sqrt[3]{y^3}\) just simplifies to y. On the other side, we cannot find the cube root of 7 in our minds, so that is why it tell us to use a calculator. So...

y = 1.9

Therefore, the cube root of 7 is around 1.9. Hope this helps!

Answer:

yes because 100 - 50 is 50

Answer:

24

Step-by-step explanation:

I guessed and checked but 24 -18 is 6 and 6 times 4 is 24

M + 18 = 4M

18 = 4M - M

18 = 3M

M = 18/3 = 6

4M = 4(6) = 24 sold by Luke

Answer:

45.00%

Step-by-step explanation:

The total answers count 40 - it's 100%, so we to get a 1% value, divide 40 by 100 to get 0.40. Next, calculate the percentage of 18: divide 18 by 1% value (0.40), and you get 45.00% - it's your percentage grade.

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Answer: y = 3.75x + 2.50

Step-by-step explanation:

The equation that can be used to find y, the total cost of renting a bike, if x represents the number of hours Violet rents the bike is:

y = 3.75x + 2.50

Explanation:

Violet pays an initial fee of $2.50, which is a fixed cost that does not depend on the number of hours she rents the bike. Additionally, she pays $3.75 per hour she rents the bike, which is a variable cost that depends on the number of hours. Therefore, the total cost of renting a bike (y) can be expressed as the sum of the fixed cost ($2.50) and the variable cost ($3.75x), which gives the equation:

The expression "five to the three-fourths power raised to the two-thirds power" can be rewritten as a radical expression.

First, let's calculate the exponentiation inside the parentheses:

(5^(3/4))^2/3

To simplify this, we can use the property of exponentiation that states raising a power to another power involves multiplying the exponents:

5^((3/4) * (2/3))

When multiplying fractions, we multiply the numerators and denominators separately:

5^((3 * 2)/(4 * 3))

Simplifying further:

5^(6/12)

The numerator and denominator of the exponent can be divided by 6, which results in:

5^(1/2)

Now, let's express this in radical form. Since the exponent 1/2 represents the square root, we can write it as:

√5

Therefore, the expression "five to the three-fourths power raised to the two-thirds power" simplifies to the radical expression √5.

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n = 5, which means that the value of n falls in the range 3 < n < 6.

The correct answer is (A).

Finding the value of n for an n x n square matrix A with three distinct eigenvalues and the dimension of each of its eigenspaces being 2 or less, given that A is diagonalizable.
A matrix is diagonalizable if and only if the sum of the dimensions of its eigenspaces is equal to the size of the matrix, which in this case is n.
Since there are three distinct eigenvalues and the dimension of each eigenspace is 2 or less, the maximum possible sum of the dimensions of the eigenspaces is\(3 \times 2 = 6.\)

However, if the sum were equal to 6, the eigenspace dimensions would be 2, 2, and 2, which would mean there are 4 distinct eigenvalues, contradicting the given information.
Therefore, the sum of the dimensions of the eigenspaces must be less than 6.

Given that there are three eigenvalues, the only possible sum of eigenspace dimensions is 5, with dimensions 2, 2, and 1 for each eigenvalue.

The correct answer is (A).
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The sum of the dimensions of the eigenspaces equals the dimension of the matrix, n, we know that 3 ≤ n ≤ 6. Therefore, the answer is (A) 3 < n < 6.

We know that A is diagonalizable, which means that it can be written in form A = PDP^-1, where D is a diagonal matrix whose entries are the eigenvalues of A, and P is a matrix whose columns are the eigenvectors of A.

Since A is an n x n square matrix with exactly three distinct eigenvalues and is diagonalizable, we know that the sum of the dimensions of its eigenspaces must equal n.

Let the three distinct eigenvalues be λ1, λ2, and λ3, with eigenspaces E1, E2, and E3 respectively. We are given that the dimension of each eigenspace is 2 or less, so:

dim(E1) ≤ 2, dim(E2) ≤ 2, and dim(E3) ≤ 2.

Now, we can write the sum of the dimensions of the eigenspaces:

dim(E1) + dim(E2) + dim(E3) = n.

Since each dimension is at most 2, the maximum value of the sum is:

2 + 2 + 2 = 6.

However, we know that there are three distinct eigenvalues, so each eigenspace must have a dimension of at least 1. Therefore, the minimum value of the sum is:

1 + 1 + 1 = 3.

Combining this information, we can conclude that:

3 ≤ n ≤ 6.

Hence, the value of n falls in the range (A) 3 < n < 6.

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The measure of angle EFD is 180 - 108 = 72 degrees.

To solve for the measure of angle EFD, we first need to find the measure of each interior angle of the regular pentagon. We use the formula ((n-2) x 180)/n, where n is the number of sides, and substitute n = 5 since it is a regular pentagon.

((5-2) x 180)/5 = 108 degrees

Now, we know that EF is a line that intersects side AD at point F. This creates an angle at vertex A that is equal to a 180-degree angle. Angle EFD is a supplementary angle to the angle at vertex A, which means that the sum of their measures is equal to 180 degrees.

Thus, we can solve for the measure of angle EFD:

180 - 108 = 72 degrees

Therefore, the measure of angle EFD in degrees is 72.

The measure of angle EFD in degrees can be found by subtracting the measure of each interior angle of the regular pentagon from 180, as angle EFD is a supplementary angle to the angle at vertex A. In this case, the measure of angle EFD is 72 degrees.

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The value of x where the function f(x) = 3x² - 24x - 9 is at a maximum or minimum when x = 6 which is determined by calculus.

To find the maximum or minimum of the function f(x) = 3x² - 24x - 9 using calculus, we follow these steps:

Find the derivative of f(x):

f'(x) = 6x - 24

Set the derivative equal to zero and solve for x to find the critical points:

6x - 24 = 0

6x = 24

x = 4

To determine whether it is a maximum or minimum, we can use the second derivative test. Find the second derivative of f(x):

f''(x) = 6

Since the second derivative f''(x) is positive (6 > 0) for all x, this indicates that x = 6 corresponds to a minimum point.

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the complete question is:

For the function f(x) = 3x² - 24x - 9, find the value of x where the function is at a maximum or minimum. Determine whether it is a maximum or minimum using calculus. What is the value of x?

The probability of obtaining tails and the number 5 is 1/12

the probability of obtaining an even number is 1/2

P(heads and prime number)  1/4

Since the events are independent, the probability of obtaining tails and the number 5 is:

P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12

The coin toss outcome is irrelevant, so the probability of obtaining an even number is:

P(even number) = 1/2

The probability of obtaining heads and a prime number is:

P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4

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Answer:

Answer is LOG 10 and 1

Step-by-step explanation:

The equivalent expressions to \(lne\) are, B. 1 and C.log 10

The logarithm is exponentiation's opposite function in mathematics.

This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.

Given, A logarithmic equation \(ln_ee\), This in exponential form is, \(e^? = e\).

We know, \(e^? = e\), e to the what power should be e it should be 1.

Therefore, \(ln_ee = 1\).

Similarly, \(log_{10}10\) is 10 to the what power is 10 we know 10 to the power 1 is 10.

Therefore, \(log10\) is 1.

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Answer:

3 - x/12

Step-by-step explanation:

follow the steps in the sentence

Answer:

A

Step-by-step explanation:

\( { \sqrt[n]{x} }^{m} = {x}^{ \frac{m}{n} } \)

⁴√ x⁵ = x^[5/4]

Answer:

$180

Step-by-step explanation: