Aliza needs to run at a rate faster than 8.2 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below:

Symbolab is an online math tool that offers a wide range of math-related services, including a derivative calculator. The derivative calculator provided by Symbolab is a free tool that allows users to calculate the derivative of a given function with respect to a variable.

To use the Symbolab derivative calculator, you simply need to enter the function you want to differentiate and choose the variable with respect to which you want to differentiate the function. The calculator will then provide you with the derivative of the function in a step-by-step format, including the derivative rules used at each step.

The Symbolab derivative calculator supports a wide range of functions, including trigonometric functions, exponential functions, logarithmic functions, and more. It also supports partial derivatives and implicit differentiation.

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The probability that their second child will be unaffected is 3/4.

Probability is the branch of discrete mathematics. It is used for calculating how likely an event is to occur or happen. Probability is calculated by the formula:

        P(E) = number of possible outcomes / total number of outcomes

The disease PKU known as Phenylketonuria is a rare inherited disorder. If the mother and father had and passed on the changed gene, then the child can inherit PKU. This is known as autosomal recessive.

The child to be affected by PKU, has to be aa. So, the first child who has the disease is aa. The unaffected child i.e. the second child is AA and Aa.

Here, the number of possible outcomes = 3 and total number of outcomes = 4

P(E)  =  3 / 4

        =  0.75

Therefore, the probability that the second child will be unaffected is 75%.

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The expression when evaluated is 17

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

a = 2, b = 3, c = 4 and d = 12

Also, we have

20 - 2b/a

Substitute the known values in the above equation, so, we have the following representation

20 - 2b/a = 20 - 2 * 3/2

Evaluate

20 - 2b/a = 17

Hence, the solution is 17

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please give brainliest

Answer:

The general equation of the cost of the billboard can be represented as follows:

y = 25 + 15x

In this equation:

"y" represents the cost of the billboard

"x" represents the number of days that your advertisement remains on the billboard

The fixed cost of $25 is added to the product of the daily cost of $15 and the number of days "x" that the advertisement is up.

Please note that this equation assumes a linear relationship between the number of days and the cost.

First, we know that both triangles already have 2 sides with equal ratios:

AC /RQ = 6/3 =2

AB/QP = 10/5 =2

Now, if RP = 4.5 we will have 3 sides with equal ratios:

CB / RP = 9/4.5 = 2

with this condition, both triangles will be similar by SSS.

Also if they have 2 sides with equal ratios and equal included angles.

m< R = 63

m

Answer:

y=337.5 when x = 2 1/4

Step-by-step explanation:

Well first we want to know what's the function here

How do we get y to be 75 if x is .5?

75/.5 is 150

so can we say the function is 150x=y

Now lets plug

2 1/4 or 2.25 for x

2.25*150 = 337.5

y=337.5 when x = 2 1/4

Hope that helps!

The linear formula to depict the change in altitude as a function of time (in minutes) is: altitude (in feet) = -25 × time (in minutes) + 3000.

The change in altitude is a linear function of time, with a slope of -500 feet per 20 minutes, since the hiker is descending. To find the y-intercept, we can use the initial altitude of 3000 feet.

Let y be the altitude in feet and x be the time in minutes. Then the formula is:

y = mx + b

where m is the slope and b is the y-intercept.

Substituting the given values, we get:

y = -25x + 3000

Therefore, the linear formula to depict the change in altitude as a function of time (in minutes) is:

altitude (in feet) = -25 × time (in minutes) + 3000.

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Answer:

400

Step-by-step explanation:

50x80=400, you just ignore the ones digits so its easy to solve. (5x8x100)

Answer:

18.5

Step-by-step explanation:

The length of fringe Sharon needs to purchase is: 16 feet

If Sharon gets a new bedsheet of 1.25 feet longer, she will need a new length of fringe of: 18.5 feet

Recall:

Perimeter of a rectangular = 2(length + width)

Given the following:

The length of fringe Sharon will need to purchase = perimeter of Sharon's rectangular bedspread

Perimeter = 2(3 + 5) = 16 feet

For a new bedspread that is 1.25 feet longer, she would get the following length of fringe:

Length = 3 + 1.25 = 4.25 feet

Width = 5 feet

New Perimeter = 2(4.25 + 5) = 18.5 feet

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The correct option is B) Categorical

The variable X in this case is categorical. Categorical variables represent distinct categories or groups and do not have a numerical value associated with them. In this example, X represents different types of animals (cat, dog, pig, bear, lion), which are categories or groups.

Therefore, the correct answer is B) Categorical.

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Answer:

not B

Step-by-step explanation:

I took the test

Answer:

21 degrees

Step-by-step explanation:

A Triangle has the total of 180 degrees. 180 - 73 - 86 = 21

The maximum load that can be applied to the wire made of that kind of steel is 21195 N. The result is obtained by using the tensile strength equation.

Tensile strength is the maximum load or stress that a material can withstand without fracture when being stretched or pulled per its cross-sectional area.

The statement can be expressed as

σ = F/A

Where

The tensile strength of a certain steel wire is 3000 MN/m². The diameter of the wire is 3.0 mm. Find the maximum load that can be applied to the wire!

Let's count the cross-sectional area!

A = πr²

A = 3,14 (½d)²

A = 3,14 [½(3.0 × 10⁻³)]²

A = 3,14 (1.5 × 10⁻³ m)²

A = 3,14 (2.25 × 10⁻⁶) m²

A = 7.065 × 10⁻⁶ m²

The maximum load is the maximum value of the force acting on it.

σ = F/A

3000 MN/m² = F / 7.065 × 10⁻⁶ m²

3000 × 10⁶ N/m² = F / 7.065 × 10⁻⁶ m²

F = 3 × 10⁹ × 7.065 × 10⁻⁶  N

F = 21.195 × 10³ N

F = 21195 N

Hence, the steel wire can have the maximum load of is 21195 N.

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Answer:

Obtuse Scalene Triangle

Give me Brainliest if I'm correct , please ! :)

15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

According to the output analysis, the model presented above is of Discrete-event simulation (DES) type.

What is Discrete-event simulation (DES)?

Discrete-event simulation (DES) is indeed a type of computer-based simulation where events occur at specific points in time. In DES, a system's behavior is modeled by specifying the sequence of events that occur during the system's lifespan.

In a discrete-event simulation, the state of the system changes only when events occur, rather than continuously evolving over time. Events represent significant occurrences or activities within the system, such as customer arrivals, service completions, or resource allocations. Each event is associated with a specific time or occurrence point, and the simulation progresses by processing events in chronological order.

DES is particularly useful for modeling complex systems where the timing of events and their interactions play a crucial role. It allows for capturing the dynamic nature of the system, simulating the flow of entities (such as customers, vehicles, or messages) through the system, and observing the effects of event sequencing and resource allocation on system performance.

By simulating the system and observing the events and their consequences, DES enables analysts to evaluate different scenarios, study the impact of various parameters, and optimize system design or operation. It provides insights into system performance measures, such as throughput, waiting times, resource utilization, or customer satisfaction.

Overall, discrete-event simulation is a powerful technique for modeling and analyzing complex systems with discrete changes, events, and interactions over time.

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The model above is known as a discrete-event simulation model according to the output analysis.

A discrete event simulation is a type of computer-based modeling where a series of discrete events in a system are simulated.

In such models, the system under consideration evolves through a series of discrete events that are instantaneous.

For example, in the retail establishment model, each customer arriving at the store would be considered a separate, discrete event.

The simulation would model the sequence of events that occur between the time the store opens at 9 am and when the last customer leaves before closing time at 5 pm.

The objective of the simulation would be to estimate some measure of the quality of customer service during this time period.

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Answer:

y = 1

Step-by-step explanation:

Where is the Graph.

Step-by-step explanation:

LOL

Performing a linear transformation involves applying a mathematical operation to each data point in a dataset to transform it into a new set of values and can be useful for various data analysis purposes.

A linear transformation, we are applying a mathematical operation to each data point in a dataset to transform it into a new set of values.

Specifically, a linear transformation involves multiplying each data point by a constant value and adding another constant value to the result.

The general formula for a linear transformation is:

y = a × x + b

y is the transformed value of x, a is the scaling factor, x is the original value of the data point, and b is the constant shift.

Performing a linear transformation can be useful for several reasons.

To rescale data that has different units or scales, or to adjust the distribution of the data to meet certain statistical assumptions.

Here are some common examples of linear transformations:

Scaling:

Multiplying each data point by a constant factor to convert it to a different unit or scale.

Converting temperature from Celsius to Fahrenheit by multiplying by 1.8 and adding 32.

Standardizing:

Subtracting the mean value of a dataset from each data point and then dividing by the standard deviation to transform the data into z-scores.

This helps to rescale the data to a standard normal distribution with a mean of zero and a standard deviation of one.

Centering:

Subtracting a constant value from each data point to shift the distribution to a different location.

Centering the data around zero by subtracting the mean value from each data point.

Normalizing:

Dividing each data point by the sum of all data points to transform the data into proportions or percentages that add up to one.

This can be useful for analyzing relative frequencies or proportions.

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To determine a cartesian equation for the curve given in parametric form by x(t) = 4 ln(9t), y(t) = √ t, we need to eliminate the parameter t.

Here are the following steps:

Therefore, the cartesian equation for the curve given in parametric form by x(t) = 4 ln(9t), y(t) = √ t is x = 8 ln(9y).

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To complete the table, we need to count how many numbers fall within each interval.

For the interval 0-29, we have the following numbers: 25, 27, 25, 27. This means we have 4 numbers that fall within this interval.
For the interval 30-59, we have the following numbers: 46, 37, 40, 38, 47, 48. This means we have 6 numbers that fall within this interval.
For the interval 60-89, we have the following numbers: 74, 68, 85, 62, 82, 68. This means we have 6 numbers that fall within this interval.
For the interval 90-119, we have the following numbers: 94, 115, 105, 93, 95, 110, 94, 105, 110. This means we have 9 numbers that fall within this interval.

Therefore, the completed table would be:

Interval   |   Frequency
-------------------------
0-29      |       4
30-59    |       6
60-89    |       6
90-119  |       9
Hello! I'd be happy to help you complete the frequency table for the given data.

Interval:     Frequency:
0-29          5
30-59         8
60-89         6
90-119       10

Your completed frequency table is as follows:

Interval      Frequency
0-29          5
30-59         8
60-89         6
90-119       10

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The Probability of pulling a white marble from the bag is 2/5.

To find the probability of selecting a white marble from the bag, we need to determine the number of favorable outcomes (white marbles) and the total number of possible outcomes (all marbles).

The bag contains a total of 20 marbles, of which 8 are white. Therefore, the number of favorable outcomes is 8 (white marbles).

The total number of possible outcomes is the sum of all marbles in the bag, which is 20.

The probability of selecting a white marble can be calculated as:

Probability (White Marble) = Number of Favorable Outcomes / Total Number of Possible Outcomes

Probability (White Marble) = 8 / 2

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4:

Probability (White Marble) = 2 / 5

Therefore, the probability of selecting a white marble from the bag is 2/5.

In conclusion, the probability of pulling a white marble from the bag is 2/5.

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Answer:

-4

Step-by-step explanation:

(-6/7) / (3/14)

-0.8571428571 / 0.2142857143

-4

\(\huge\pink{\mathbb{Answer:}}\)

The simplest form of

\( \frac{ - 6}{7} \: \div \frac{3}{4} \)

is

\(-4\)

\(\huge\color{purple}{ \colorbox{orange}{\colorbox{white} {ChaEunWoo2009}}}\)

#CarryOnLearning

Hey there! I'm happy to help! :D

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

OVERVIEW

A complex number is a real number combined with an imaginary number (such as i, a number that will equal -1 when squared).

The complex plane is an interesting thing we use to graph complex numbers. The horizontal axis is where you plot the real part of the complex number, and the y-axis is where you plot the coefficient of the imaginary number.

For example, if I had the complex number 4+3i, I would plot the point (4,3) on the complex plane.

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

MODULI

The modulus (plural is moduli) is the distance of a complex number from the origin on the complex plane. To find the modulus, you take the real number and the coefficient (basically the points of your graph), square them, add the results, and then you find the square root of that! Here's a little checklist so that you can always find the modulus of any complex number!

STEPS TO FIND MODULUS GIVEN COMPLEX NUMBER

STEP 1: PLOT THE COMPLEX NUMBER

Let's use our complex number 4+3i. If we plot it, the point will be (4,3)

STEP 2: TAKE YOUR VALUES OF X AND Y AND SQUARE THEM

4²=16

3²=9

STEP 3: ADD THESE SQUARES

16+9=25

STEP 4: SQUARE ROOT IT

√25=5

Therefore, the modulus (distance from the origin on the complex plane) of 4+3i is 5.

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

SOLVING THE PROBLEM

In our case, we are given a modulus but not a point on the line. Our modulus is the square root of seventeen. We are going to have to the steps to find the modulus backwards to find our points. I will put the steps for finding a complex number given the modulus below.

STEPS TO FIND COMPLEX NUMBER GIVEN MODULUS

STEP 1: SQUARE THE MODULUS

√17²=17

STEP 2: FIND THE SQUARES THAT MAKE UP THE NUMBER

Before, we could just add things we found. Now, we have to find the things that were added! How do we know what things were added to find 17?  Well, we know that we added two squares to find the modulus, so we will subtract a square of some sort and hopefully come up with another square.

Let's see what squares exist that are less than seventeen.

1, 4, 9, 16

(Note that one is 1², 4 is 2², 9 is 3², and 16 is 4²)

Which of these can we add to get 17?

Well, we can do 1 and 16, so this is our result so far.

STEP 3: SQUARE ROOT THE RESULTS

Now, we just find the square roots of what we found in the last problem!

√1=1

√16=4

STEP 4: PLOT THE GIVEN NUMBERS ON THE PLANE AND FIND THE COMPLEX NUMBER

We can plot these either way because the modulus of 1+4i will be the same distance from the origin as 4+i because we only use the commutative property (adding order doesn't matter) when looking for the modulus. You can also have the negative version of either number because you immediately square it, so it can also be -4+i or 4-i! You can also rearrange the equation in tons of ways to figure it out. You could also have both be negative, flip the coefficient placement, etc.!

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

SOLUTION

Therefore, the complex numbers that have a distance of √17 from the origin on the complex plane are ±4±i and ±1±4i. So, why did I write all of these funny plus and minus signs? Well, it's so that I didn't have to write all of the possible equations. I believe those equations actually represent 8 possible points we can create with the solution we got.

4+i

-4+i

4-i

-4-i

1+4i

-1+4i

1-4i

-1-4i

You can plug these complex numbers back in and find the modulus with my instructions to find the modulus given a complex number. Now, you will be able to deal with moduli and complex numbers for the rest of your life!

I hope that this helps! Have a wonderful day! :)

When the spring is stretched and the distance from point a to point b is 5.3 feet, the value of θ is 53.13  degrees

The distance between point a to point b = 5.3 feet

The length of the top side = 3 feet

Therefore, it will form a right triangle

Here we have to use trigonometric function

Here adjacent side and the hypotenuse of the triangle is given

The trigonometric function that suitable for the given conditions is

cos θ = Adjacent side / Hypotenuse

Substitute the values in the equation

cos θ = 3 / 5

θ = cos^-1(3 / 5)

θ = cos^-1(0.6)

θ = 53.13 degrees

Therefore, the value of θ is 53.13  degrees

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Jasmine can buy a average of 4 binders because the cost of the binders, multiplied by the number of binders she wants to buy, plus the cost of the pens, must not exceed her total budget of $26.

Step 1: Define the variable. Let x represent the number of binders Jasmine can buy.

Step 2: Write the inequality. 5x + 4.75 ≤ 26

Step 3: Solve the inequality. 5x ≤ 21.25

Step 4: Isolate the variable. x ≤ 4.25

Step 5: The maximum number of binders Jasmine can buy is 4.

Let x represent the number of binders Jasmine can buy

5x + 4.75 ≤ 26

5x ≤ 21.25

x ≤ 4.25

Jasmine has a total of $26 to spend on binders and one pack of pens. The cost of the pens is $4.75, and each binder costs $5. To determine the maximum number of binders she can buy. The inequality we need to solve is 5x + 4.75 ≤ 26. We can solve this inequality by first multiplying both sides of the equation by 5, which gives us 5x ≤ 21.25. We can then isolate the variable by dividing both sides of the equation by 5, which gives us x ≤ 4.25. This means that the maximum number of binders Jasmine can buy is 4.

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