a teacher has an annual salary of 98,500. how much does that teacher make biweekly?

Answer:

A

Step-by-step explanation:

It's the only one that passes the vertical line test

Answer:

cos Θ = 7/25

Step-by-step explanation:

First, we find the hypotenuse.

c² = a² + b²

c² = 7² + 24²

c² = 49 + 576

c² = 625

c = √625

c = 25

cos Θ = adj/opp

cos Θ = 7/25

Answer:

same

Step-by-step explanation:

Answer:

same

Step-by-step explanation: same free coins ;)

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Proof:

We'll break the proof into two cases which I'll label A and B

-----------

Case A: 'a' is even

k = some integer

a = 2k = some even integer

a+1 = 2k+1

a(a+1) = 2k(2k+1) = 2(2k^2+k) = 2*(some integer)

Since 2 is a factor of that last expression, this shows that a(a+1) is even when 'a' is even.

-----------

Case B: 'a' is odd

k = some integer

a = 2k+1 = some odd integer

a+1 = (2k+1)+1 = 2k+2

a(a+1) = (2k+1)(2k+2) = 2(2k+1)(k+1) = 2(some integer)

This shows that a(a+1) is even when 'a' is odd.

-----------

Therefore, for any integer 'a', the expression a(a+1) is always even.

Some examples:

-----------

Here's a slightly different way to interpret why the proof works.

a(a+1) consists of factors 'a' and 'a+1'

Either way, we'll have 2 as a factor somewhere in a(a+1).

Step-by-step explanation:

50000÷10

=5000

Given:

To solve the expression, follow the steps below.

Step 01: Subtract 14w from both sides.

Step 02: Subtract 6 from both sides.

Step 03: Divide both sides by 3.

Answer: w = -7.

The greatest common factor that exists between the three terms is: 6x

The greatest common factor (GCF) of a specific set of numbers is defined as the largest factor that all the numbers share in common. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, and as such we can easily conclude that GCF of 12, 20, and 24 is 4.

We want to find the greatest common factor of 12x⁴, 6x⁵, 42x.

Breaking down each into their factors we can say that:

12x⁴ = 6 * 2 * x * x * x * x

6x⁵ = 6 * x * x * x * x * x

42x = 6 * 7 * x

Thus, the highest common factor between the three terms is: 6x

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It is to be noted that the relative frequency of a class is computed by " dividing the frequency of the class by the sample size" (Option D)

The empirical probability, relative frequency, or experimental probability of an event is the ratio of the number of occurrences of a given event to the total number of trials in an actual experiment, not in a theoretical sample space.

The number of times a specific value for a variable (data item) has been seen to occur in proportion to the overall number of values for that variable is described by a relative frequency. The absolute frequency is divided by the total number of values for the variable to produce the relative frequency.

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Answer:

There are 3 of them

Step-by-step explanation:

Answer:

it's in the hundredths and tens and thousandths and it's a 9 aka an upsidedown 6

Step-by-step explanation:

Answer: 0.045%

Step-by-step explanation:

The growth rate of a bacterial colony after a 2 hours  is given by the derivative of its population function with respect to time is 36 .

The growth rate of a bacterial colony is given by the derivative of its population function.

Thus, we need to find the derivative of the population function p(t) with respect to time t, and then evaluate it at t = 2 to get the growth rate after 2 hours.

p(t) = 3t² + 24t + 200

Taking the derivative of p(t) with respect to t, we get:

p'(t) = 6t + 24

Now, evaluating p'(t) at t = 2, we get:

p'(2) = 6(2) + 24 = 36

Therefore, the growth rate of the bacterial colony after 2 hours is 36.

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The total number of boats that are in this marina would be 48 boats

To solve this problem, you can set up an equation using the information given in the problem. Let x be the total number of boats in the marina.

According to the problem, two-thirds of the boats in the marina are white, so:

x * 2/3 = number of white boats

The remaining boats are split between blue and red, so:

(x * 2/3) = number of white boats

x - (x * 2/3) = number of remaining boats

Five-eighths of the remaining boats are blue, so:

(x - (x * 2/3)) * 5/8 = number of blue boats

The rest of the remaining boats are red, so:

(x - (x * 2/3)) - (x - (x * 2/3)) * 5/8 = number of red boats

And we know that there are 6 red boats, so we can substitute that into the equation:

6 = (x - (x * 2/3)) - (x - (x * 2/3)) * 5/8

Solving for x, we can get the number of boats in the marina.

x = 48.

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By evaluating the linear equation we can see that the complete table is:

x|  -4   -2  0  2  4

y| 17    13  9   5  1

Here we have a linear function:

y = -2x + 9

And we want to complete the given table, to do so, we just need to evaluate the linear function in the given values of x.

if x = -2

y = -2*-2 + 9 = 4 + 9 = 13

if x = 0

y = -2*0 + 9 = 9

if x = 2

y = -2*2 + 9 = 5

if x = 4

y = -2*4 +9 = 1

Then the complete table is:

x|  -4   -2  0  2  4

y| 17    13  9   5  1

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The mean for the sample is 14.5.

We are asked to select a random sample of size 2 by writing the five numbers in this population on slips of paper, mixing them, and then selecting two. We then have to calculate the mean for the sample. The given numbers are: 12, 17, 8, 13, and 20. Therefore, there are five numbers in the population.

Now, we have to choose any two numbers randomly from the population. Let us suppose that we select 12 and 17 randomly from the population. Therefore, the sample will be {12, 17}. Now, we have to calculate the mean of the sample.

The formula to calculate the mean is: mean = sum of all numbers in the sample / total number of items in the sample. The sum of 12 and 17 is 12 + 17 = 29. Therefore, the sum of all numbers in the sample is 29. Also, the total number of items in the sample is 2.

Therefore, we can calculate the mean as: mean = 29 / 2mean = 14. 5. Therefore, the mean for the sample is 14.5.

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Answer:

X=65, Y=55, Z=60

Step-by-step explanation:

Answer A

Took the quiz

The probability that all three wires will meet the specifications is approximately 0.173 .

Expected value (mean) of wire resistance = 0.13 ohms Standard deviation of wire resistance = 0.005 ohms

the probability for each wire, we need to standardize the range of resistance values using the expected value and standard deviation. We can use the Z-score formula:

Z = (X - μ) / σ

Z is the standard score (Z-score) X is the observed value (resistance) μ is the mean (expected value) σ is the standard deviation

For the lower specification of 0.10 ohms

Z1 = (0.10 - 0.13) / 0.005

For the upper specification of 0.17 ohms

Z2 = (0.17 - 0.13) / 0.005

Using a standard normal distribution table , we can find the probability associated with each Z-score.

Lower bound of standardized range = (0.10 - 0.13) / 0.005 = -0.06

Upper bound of standardized range = (0.17 - 0.13) / 0.005 = 0.80

Let's calculate the probabilities for each wire

P(z < -0.60) ≈ 0.2743

P(z < 0.80) ≈ 0.7881

Since we want the probability that all three wires meet the specifications, we need to multiply these probabilities together since the wires are selected independently.

P(all three wires meet specifications) = P(z < -0.60) × P(z < 0.80) × P(z < 0.80)

P(all three wires meet specifications) ≈ 0.2743 × 0.7881 × 0.7881 ≈ 0.1703

Therefore, the probability that all three wires will meet the specifications is approximately 0.173, or 17.3% .

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The Laplace transform of f(t), with the period 3, is \(L{f(t)} = \frac{2}{s^2} \left(1 - e^{-3s} + e^{-3s} - e^{-6s} + e^{-6s} - e^{-9s} + \ldots\right)\)

The Laplace transform of a periodic function can be determined using the properties of the Laplace transform and the fact that the Laplace transform of a periodic function is also periodic.

In this case, we are given that the function f(t) has a period of 3 and is defined as f(t) = 2t for 0 < t < 3.

To find the Laplace transform of f(t), we can write it as a sum of scaled unit step functions, where each step function covers one period of the function. Since the function f(t) has a period of 3, we can write:

f(t) = 2t = 2t(u(t) - u(t-3)) + 2t(u(t-3) - u(t-6)) + 2t(u(t-6) - u(t-9)) + ...

Using the linearity property of the Laplace transform, we can take the Laplace transform of each term separately. The Laplace transform of 2t is 2/\(s^2\), and the Laplace transform of a unit step function u(t-a) is \(e^{(-as)}/s\).

Therefore, the Laplace transform of f(t) is:

\(L{f(t)} = \frac{2}{s^2} \left(e^{-0s} - e^{-3s}\right) + \frac{2}{s^2} \left(e^{-3s} - e^{-6s}\right) + \frac{2}{s^2} \left(e^{-6s} - e^{-9s}\right) + \ldots\)

Simplifying this expression further, we can combine the terms:

\(L{f(t)} = \frac{2}{s^2} \left(1 - e^{-3s} + e^{-3s} - e^{-6s} + e^{-6s} - e^{-9s} + \ldots\right)\)

The resulting Laplace transform is a sum of terms with exponential functions and can be expressed using the geometric series formula.

However, since the Laplace transform of f(t) is not directly related to its periodicity, a specific expression for the Laplace transform of f(t) cannot be determined without further information.

To graph f(t), plot the function f(t) = 2t for the interval 0 < t < 3, and then repeat this graph periodically every 3 units on the x-axis. This will result in a graph that shows the periodic nature of f(t) with a period of 3.

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Answer:

n = 9 \(\frac{1}{3}\)

Step-by-step explanation:

First, let's write an equation to show this statement, using a variable N for the number.

3n - 9 = 19

Now to isolate variable N, add nine to both sides to cancel out.

3n = 19 + 9

Simplify.

3n = 28

Now we can divide both sides by three to get our answer.

n = 9 \(\frac{1}{3}\)

Sorry about the fraction - Brainly wouldn't let me bold it :(

I hope this helps! As always, if you have questions, leave a comment, and i'll answer it as soon as I can (or maybe someone else will). Also if possible brainliest would be super appreciated, and I also just wanted to thank you for being SO GENEROUS with the points on this question. You don't even know how much I appreciate them!

The average number of pending USCIS immigration cases is 3,969,000 cases.

To know average number of pending USCIS immigration cases, we will calculate number of cases pending at any given time.

This will be done by multiplying the average processing time by the average number of cases processed per year.

Given:

Average number of immigration cases processed per year = 6.3 million cases

Average processing time = 0.63 years

The number of pending cases:

= Average processing time * Average number of cases processed per year

= 0.63 years * 6.3 million cases

= 3,969,000 cases

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Answer:

$0.12

Step-by-step explanation:

divide 0.84 by 7 to get the price per cup

Answer:

$0.12

Step-by-step explanation:

First you must take 0.84 and divide it by 7.

Basically, your're just dividing your 0.84 into 7 groups.

0.84÷7= 0.12

So your answer/unit price is 0.12

I hope I was clear and concise.

The value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

Given that a researcher measures the relationship between two variables, X and Y.

If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then we need to calculate the value of the correlation coefficient.

Correlation coefficient:

The correlation coefficient is a statistical measure that determines the degree of association between two variables.

It is denoted by the symbol ‘r’.

The value of the correlation coefficient lies between -1 and +1, where -1 indicates a negative correlation, +1 indicates a positive correlation, and 0 indicates no correlation.

How to calculate correlation coefficient?

The formula to calculate the correlation coefficient is as follows:

r = SS(XY)/√[SS(X)SS(Y)]

Now, substitute the given values, we get:

r = 340/√[320000]r = 0.34

Therefore, the value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

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The change in surface area dA is approximately equal to 8πrdr when the radius of a sphere changes by a small amount dr.

The surface area of a sphere with radius r is given by the formula:

A = 4πr^2

If the radius changes from r to r + dr, then the new surface area A' is given by:

A' = 4π(r + dr)^2

Expanding the expression for A', we get:

A' = 4π(r^2 + 2rdr + dr^2)

Subtracting the original surface area A from A', we get the change in surface area:

dA = A' - A = 4π(r^2 + 2rdr + dr^2) - 4πr^2

Simplifying the expression, we get:

dA = 4π(2rdr + dr^2)

Since we are only interested in the change in surface area for a small change in radius dr, we can ignore the term dr^2 and approximate the change in surface area as:

dA ≈ 8πrdr

Therefore, the change in surface area dA is approximately equal to 8πrdr when the radius of a sphere changes by a small amount dr.

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Answer:    It is not possible for me to determine which line LR is not a transversal to without more context. A transversal is a line that intersects two or more other lines at different points. In order to determine which line LR is not a transversal to, I would need to know the other lines that are involved and the points at which they intersect.

Step-by-step explanation:

Step-by-step explanation:

the graph is in photo

________________

The graph of the line with slope 7/4 and y - intercept - 1 is show in figure.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that the slope = 7 / 4

And, y - intercept = - 1

Now,

The equation of line with slope 7 / 4 and y - intercept - 1 is;

⇒ y = mx + b

⇒ y = 7 / 4 x + (-1)

⇒ y = 7/4 x - 1

So, We can graph the equation y = 7/4x - 1 as shown in figure.

The graph of the line with slope 7/4 and y - intercept - 1 is show in figure.

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Answer:

5^x - 5^-x

Step-by-step explanation:

g(x) = 5^-x

h(x) = 5^x

We want h(x) - g(x)

h(x) - g(x) = 5^x - 5^-x

This cannot be simplified

Answer:

Infinitely many solutions.

Step-by-step explanation:

x-6y=7

-x+6y=-7

--------------

0=0

infinitely many solutions.

Answer:

D- 5hrs

Step-by-step explanation:

If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.

Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours

Answer:

D. 5 hours

Step-by-step explanation:

3 miles per 1 hour so 3/1

15 miles per x hours so 15/x

3/1 = 15/x or 3 = 15/x

get x by itself so

3 divided by 3 and 15 divided by 3

x = 5 hours

Answer:

Line starting at x = -2

Vertical line

Quadratic function with negative leading coefficient and max value of 3

Curve with non-negative domain and min value of -2

Line with no restriction

Quadratic function with positive leading coefficient and min value of 4

Parabola with restriction at x = -4

Square root function with star point (2, 0)

It will take 12.5 minutes by the printer to use all 100 sheets of paper as the function is p(t) = -8t + 100 where p is the number of sheets left after t minutes of printing.

A mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). The property that every input is related to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets. Four broad categories can be used to classify different types of functions. dependent upon element Function is a one-to-one relationship, a many-to-one relationship, onto function, one-to-one and into function.

Here,

p(t)=-8t+100

Tanya is printing a report. There are 100 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function .When all the 100 sheets printed , then the number of sheets will left to print =0.

Substitute p(t)=0 in the given function, to find the value of t,

0=-8t+100

8t=100

t=12.5 minutes

The function is p(t) = -8t + 100, where p is the number of sheets left after t minutes of printing, and it will take the printer 12.5 minutes to use all 100 sheets of paper.

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