Me . Lake Bought four dozen apples for her band kids 1/4 of the apples were green and 3/4 or red. How many apples were red

Answers

Answer 1

Answer:

36

Step-by-step explanation:

3/4 of 48 is 36


Related Questions

A golfer is standing at the tee, looking up to the green on a hill. If the tee is 38 yards lower than the green and the angle of elevation is 15 degrees, find the distance from the tee to the hole.

Answers

Answer:

146.82 yards is the distance from tee to hole.

Step-by-step explanation:

Let A is the position of tee and where the golfer is standing.

C is the position of hole.

CB is the vertical distance between greens and tee.

Angle of elevation,

To find: side AC.

Using trigonometric functions, we know that value of sine is:

[tex]sin\theta=\dfrac{\text{Perpendicular}}{\text{Hypotenuse}}[/tex]

Here [tex]\theta=\angle BAC=15^\circ[/tex]

Perpendicular is side CB.

Hypotenuse is side AC.

[tex]\text{sin}12^\circ=\dfrac{\text{CB}}{\text{AC}}[/tex]

[tex]\implies\text{CB}=\dfrac{38}{\text{sin}15^\circ}[/tex]

[tex]\implies\text{CB}=146.82[/tex]

Hence, 146.82 yards is the distance from tee to hole.

9x-7=-7 please answer quick

Answers

Answer:

x = 0

Step-by-step explanation:

9x - 7 = -7

Add 7 to both sides.

9x - 7 + 7 = -7 + 7

9x = 0

Divide both sides by 9.

9x/9 = 0/9

x = 0

Answer:

x=0

Step-by-step explanation:

-4(X-1)+2 which of the following is equivalent to the expression

Answers

Answer:

-2 ( 2x - 3 )

Step-by-step explanation:

We know that,

( + ) × ( + ) = ( + )

( - ) × ( - ) = ( - )

( + ) × ( - ) = ( - )

Accordingly,

-4 ( x - 1 ) + 2

First, solve the brackets. That is, multiply each term inside the brackets by -4.

- 4x + 4 + 2

Combine like terms.

- 4x + 6

You can take the common factor out of the brackets.

-2 ( 2x - 3 )

Calculate the rate of power draining per hour if the capacity of the cell phone is 3 600mAh

Answers

I believe The answer is 13.32

Just number 9 with work

Answers

The answer of the given question based on rational parent function , to identify a correct transformation of the function, The correct answer choice is (c) Left 5.

What is Function?

A function is  mathematical relationship that assigns  unique output value for each input value. It describes relationship between two variables, where  output value is dependent on input value. A function can be represented by  equation, a graph, or  table. In its simplest form,  function takes  input value, performs a specified operation on that value, and produces  corresponding output value.

Functions are used to model real-world phenomena, to solve problems, and to analyze and understand complex systems. They are  fundamental concept in mathematics and are used in  wide variety of fields, like science, engineering, economics, and finance.

The given equation is y = 12/(x + 5), which represents the rational parent function. To identify a correct transformation of the function, we can consider the effect of each transformation on the parent function.

a) Vertical reflection: This transformation would change the sign of the function, resulting in y = -12/(x + 5). This is not the given equation, so it is not a correct transformation.

b) Vertical stretch by 12: This transformation would multiply the function by 12, resulting in y = 12(12/(x + 5)) = 144/(x + 5). This is not the given equation, so it is not a correct transformation.

c) Left 5: This transformation would shift the function to the left by 5 units, resulting in y = 12/(x + 10). This is a correct transformation of the function, as it represents a horizontal shift of 5 units to the left.

d) Down 5: This transformation would shift the function down by 5 units, resulting in y = 12/(x + 5) - 5. This is not the given equation, so it is not a correct transformation.

Therefore, the correct transformation of the rational parent function as described by the given equation is a horizontal shift of 5 units to the left. The answer choice is (c) Left 5.

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The correct transformation of the function on rational parent function as described by the given equation. The correct answer choice is (c) Left 5.

What is Function?

A function is  mathematical relationship that assigns  unique output value for each input value. It describes relationship between two variables, where  output value is dependent on input value. A function can be represented by  equation, a graph, or  table. In its simplest form,  function takes  input value, performs a specified operation on that value, and produces  corresponding output value.

The given equation is y = 12/(x + 5), which represents the rational parent function. To identify a correct transformation of the function, we can consider the effect of each transformation on the parent function.

a) Vertical reflection: This transformation would change the sign of the function, resulting in y = -12/(x + 5). This is not the given equation, so it is not a correct transformation.

b) Vertical stretch by 12: This transformation would multiply the function by 12, resulting in y = 12(12/(x + 5)) = 144/(x + 5). This is not the given equation, so it is not a correct transformation.

c) Left 5: This transformation would shift the function to the left by 5 units, resulting in y = 12/(x + 10). This is a correct transformation of the function, as it represents a horizontal shift of 5 units to the left.

d) Down 5: This transformation would shift the function down by 5 units, resulting in y = 12/(x + 5) - 5. This is not the given equation, so it is not a correct transformation.

Therefore, the correct transformation of the rational parent function as described by the given equation is a horizontal shift of 5 units to the left. The answer choice is (c) Left 5.

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A car is traveling at a speed of 80 miles per hour. What is the car's speed in kilometers per hour? How many kilometers will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.

Answers

answer is

512

Step-by-step explanation:

1.6x80=128

128x4=512

If the light is coming from the same position, the length of a person's shadow is proportional to their height. Adam and Cara are standing side-by-side, facing their shadows. Adam is 159 centimeters tall and casts a shadow 105 centimeters in height. If Cara is 140 centimeters tall, how many centimeters will she need to walk forward for the tip of her shadow to be directly in line with Adam's?

Answers

Since the length of a person's shadow is proportional to their height, we can set up a proportion:

Adam's height / Adam's shadow length = Cara's height / Cara's shadow length

Plugging in the values we know, we get:

159 / 105 = 140 / x

Solving for x, we get:

x = 92.84 centimeters

So Cara will need to walk forward about 92.84 centimeters for the tip of her shadow to be directly in line with Adam's.

find dy/dx y=e^x(e^-2x+7)

Answers

The chain rule is used when a function is composed of two or more functions, where one function is applied to the output of the other. In other words, it is used when a function is "nested" inside another function. Thus, option A is correct.

What is chain rule and the product rule of differentiation?

We can solve this problem by applying the chain rule and the product rule of differentiation. Let's begin by simplifying the expression inside the parentheses:

[tex]y = ex (e^-2x + 7)[/tex]

Now, let's apply the product rule:

[tex]dy/dx = (ex)'(e^-2x + 7) + ex(e^-2x + 7)'[/tex]

Using the chain rule, we can find (ex)':

[tex](ex)' = ex[/tex]

And using the chain rule again, we can find [tex](e^-2x + 7)':[/tex]

[tex](e^-2x + 7)' = (-2e^-2x)[/tex]

Substituting these values back into the original equation, we get:

[tex]dy/dx = ex(e^-2x + 7) + ex(-2e^-2x)[/tex]

Simplifying, we get:

[tex]dy/dx = ex(e^-2x + 7 - 2e^-2x)[/tex]

[tex]dy/dx = ex(e^-2x - e^-2x + 7)[/tex]

[tex]dy/dx = ex(7)[/tex]

Therefore, the answer is A) 7.

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[tex]\sqrt{2x} + 3 = 8[/tex]2 x + 3 = 8

Answers

Answer: x= 6241/2

Step-by-step explanation:

Select the correct answer.
Consider functions p and q.
log₂ (x - 1)
p(x)
q (x) = 2* - 1
Which statement is true about these functions?
=
O A.
The x-intercept of function p is the same as the x-intercept of function q.
OB.
The x-intercept of function p is less than the x-intercept of function q.
O C.
The x-intercept of function p is greater than the x-intercept of function q.
OD. The x-intercepts cannot be compared because either p or q does not have an x-intercept

Answers

Answer: Click THANKS if you like my answer. have a good day sir/maam #keep safe

D. The x-intercepts cannot be compared because either p or q does not have an x-intercept.

The function q is a constant function and its graph is a horizontal line passing through y = -1. It does not intersect the x-axis, so it does not have an x-intercept.

The function p is a logarithmic function, and its x-intercept is the point at which the graph of p intersects the x-axis. To find the x-intercept of p, we need to set p(x) = 0 and solve for x.

log₂ (x - 1) = 0

2^0 = x - 1

1 = x - 1

x = 2

So the x-intercept of p is x = 2.

Since q does not have an x-intercept, we cannot compare the x-intercepts of p and q. Therefore, the correct answer is D.

Step-by-step explanation:

hope its help <:

What is the answer to x3 y3 z3 k?

Answers

Answer:

The equation x3+y3+z3=k is known as the sum of cubes problem.

Step-by-step explanation:


prove this question in the image please

Answers

The parallelogram ABCD's congruency can be proven using Side-Angle-Side (SAS) congruence theorem.

How to prove congruency?

Prove that ΔABC ≅ ΔDCB using the Side-Angle-Side (SAS) congruence theorem.

Given that ABCD is a parallelogram, AB || CD and BC || AD. Therefore, ∠ABC ≅ ∠DCB and ∠ACB ≅ ∠DCA because they are corresponding angles.

AB ≅ CD and BC ≅ AD because opposite sides of a parallelogram are congruent.

Lastly, AC ≅ AC because it is a shared side between the two triangles.

Therefore, the following congruent parts:

∠ABC ≅ ∠DCB (by corresponding angles)

AB ≅ CD (by opposite sides)

BC ≅ AD (by opposite sides)

AC ≅ AC (shared side)

The SAS congruence theorem concludes that ΔABC ≅ ΔDCB.

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Image transcribed:

Prove ΔABC ≅ ΔDCB

(reposting because the one person that helped gotten their comment deleted so i couldnt see answer) PLEASE HELP ASAP WITH THIS

Answers

Answer:

64, 69, 88, 88, 91, 92, 93, 95, 97, 97, 100

Median= 92

Mode= 88, 97

Mean= 88.55

Range= 36

Quartile 1= 88

Quartile 2= 92

Quartile 3= 97

Interquartile range= 9

Minimum= 64

Maximum= 100

Not sure if this helped but I hope it did

Can someone help
me?

Answers

Answer:

To find the real and imaginary parts of the complex number 26 = a + bi, we can use the fact that:

a + bi = 26

Taking the complex conjugate of both sides, we get:

a - bi = 26

Adding the two equations, we get:

2a = 52

Solving for a, we get:

a = 26

Substituting this value into one of the equations, we get:

26 + bi = 26

Therefore, b = 0.

Therefore, the real part of 26 is a = 26, and the imaginary part is b = 0.

What is an equation for the linear relationship in slope-intercept form?


A. y=2x+3


B. y=12x+3


C. y=12x−3


D. y=−12x−3

Answers

A: y=2x+3. This is an equation for the linear relationship in slope-intercept form. The equation states that the value of y is equal to the slope of the line, 2, multiplied by the value of x, plus 3.

What is slope?

Slope is a measure of the steepness of a line. It is the ratio between the vertical change in a line (change in y-values) over the horizontal change in the same line (change in x-values). It is also referred to as the rate of change, as it is a measure of how quickly the value of y changes with respect to the x-value.

This equation is used to describe a straight line that has a constant rate of change between two variables. This equation can be used to determine the slope, y-intercept, and x-intercept of a line.

The slope, which is the coefficient of x in the equation (2 in this case), is the rate at which y changes with respect to x. It is the rise over run, or the change in y over the change in x. The y-intercept is the value of y when x is equal to 0 (in this case, it is 3). The x-intercept is the value of x when y is equal to 0 (in this case, it is -3/2).

This equation is often used to represent a linear relationship between two variables, such as the amount of money a person earns in relation to the number of hours they work.

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i already have the chart filled out i just need some help with the conclusion
.
.chart:

Location

Timeline

Human Impact Measurements

Recommendation to Decrease Human Impact

New York City

Water Pollution

(in parts per million)

50 years ago

625ppm

create gardens on all of the rooftops

Present Day

893ppm

Future Development Impact

843ppm

Amazon Rainforest

Levels of CO2

(in parts per million)

50 years ago

CO2 levels: 318 ppm

Limit the amount of timber that can be removed per year

Present Day

CO2 levels: 402 ppm

Future Development Impact

CO2 levels: 378 ppm

Sahara Desert

Loss of land by Erosion

(in meters)

50 years ago

Erosion: 1.2 meters

Build better enclosures to decrease overgrazing by livestock

Present Day

Erosion: 3.5 meters

Future Development Impact

Erosion: 2.6 meters




.Conclusion:
Your conclusion will include a summary of the lab results and an interpretation of the results. Please write in complete sentences.
.
When recommending solutions to decrease human impact, which location were you able to make the greatest positive impact? Please explain your selection by using data from the simulation.
.
What recommendations would you give to your local community to help to decrease the local effects of human impact on the environment? List 2 recommendations and how they will positively impact your community.
.
What recommendations would you give to the global governments to help decrease the global effects of human impact on the environment? List 2 recommendations and how they will positively impact our planet.

tell me if i missed anything! and please give me good answers!

Answers

This report highlights the impact of human activity on three different locations: New York City, the Amazon Rainforest, and the Sahara Desert. The measurements were taken 50 years ago, in the present day, and the predicted future development impact.

## New York City

Water pollution in parts per million (ppm) was measured in New York City. Fifty years ago, the water pollution was 625ppm, and presently, it has increased to 893ppm. The predicted future development impact is 843ppm. To decrease human impact on this location, it is recommended to create gardens on all of the rooftops. The plants will help absorb some of the pollutants and reduce runoff into waterways.

## Amazon Rainforest

CO2 levels in parts per million (ppm) were measured in the Amazon Rainforest. Fifty years ago, the CO2 levels were 318ppm, and presently, it has increased to 402ppm. The predicted future development impact is 378ppm. To decrease human impact on this location, it is recommended to limit the amount of timber that can be removed per year. The Amazon Rainforest is often referred to as the "lungs of the planet" due to its ability to absorb carbon dioxide and produce oxygen. By limiting deforestation, the amount of carbon dioxide released into the atmosphere will decrease, and the rainforest will continue to produce oxygen, benefiting both the local and global environment.

## Sahara Desert

The loss of land by erosion in meters was measured in the Sahara Desert. Fifty years ago, the erosion was 1.2 meters, and presently, it has increased to 3.5 meters. The predicted future development impact is 2.6 meters. To decrease human impact on this location, it is recommended to build better enclosures to decrease overgrazing by livestock. Overgrazing leads to soil compaction, which makes it difficult for vegetation to grow and prevents the soil from holding water. By implementing better enclosures, the livestock will be limited to a smaller area, allowing the vegetation to recover and hold the soil in place.

## Conclusion

In conclusion, all three locations experienced an increase in human impact over the years. By analyzing the data, the location that could benefit the most from decreasing human impact is the Amazon Rainforest. Limiting the amount of timber that can be removed per year will have a positive impact on this location. However, it is important to continue monitoring all three locations to ensure that the human impact is decreasing and not increasing.

## Recommendations for Local Communities

To decrease the local effects of human impact on the environment, two recommendations are:

1. Reduce the use of single-use plastics, such as straws and bags, to decrease pollution. Single-use plastics are a major source of pollution in our oceans, and by reducing our reliance on them, we can help reduce the amount of plastic that ends up in our waterways.

2. Plant more trees and vegetation to increase the amount of oxygen in the air. Trees and plants produce oxygen through photosynthesis, which helps clean the air we breathe. By planting more trees and vegetation in our communities, we can help reduce the amount of pollution in the air and create a healthier environment for ourselves and future generations.

## Recommendations for Global Governments

To decrease the global effects of human impact on the environment, two recommendations are:

1. Invest in renewable energy sources, such as solar and wind power, to decrease the use of fossil fuels. Fossil fuels are a major contributor to greenhouse gas emissions, which are responsible for climate change. By investing in renewable energy sources, we can decrease our reliance on fossil fuels and reduce our carbon footprint.

2. Implement policies to decrease deforestation and promote reforestation to decrease the loss of wildlife habitats and increase the amount of oxygen in the air. Deforestation is a major contributor to climate change, as it releases carbon dioxide into the atmosphere and reduces the amount of oxygen produced by trees. By implementing policies to decrease deforestation and promote reforestation, we can help mitigate the effects of climate change and create a healthier environment for all living beings.

5/6 plus negative 4/9 minus negative 2

Answers

Answer:

Step-by-step explanation:

5/9 + (-4/9) - (-2)

5/9 - 4/9 + 2

[tex]5-4+18/9[/tex]

19/9 or 2.1, 2 1/9

Determine the product. Write your answer in scientific notation.
(15.4 × 102) · (2.8 × 10–4) = ?

A. 431.2 x 10^2
B. 43.12 x 10^-3
C. 4.312 x 10^-1
D. 431.2 x 10^-4

Answers

The product of (15.4 × 102) · (2.8 × 10–4) in scientific notation is written as 4.312 x 10⁻¹. Thus, option C is was correct.

How should a product be written in scientific notation?

When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, the scientific notation for 650,000,000 is 6.5 108.

⇒ (15.4 × 10²) · (2.8 × 10⁻⁴)

= 15.4  × 2.8 × 10² × 10⁻⁴

= 43.12 × 10² × 10⁻⁴

= 4.312 × 10¹ × 10² × 10⁻⁴

= 4.312 × 10¹⁺²⁻⁴

= 4.312 × 10⁻¹

Thus, The product of (15.4 × 102) · (2.8 × 10–4) in scientific notation is written as 4.312 x 10⁻¹. Thus, option C is was correct.

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Linear or non-linear?

Answers

Linear, because is the x not repeating
Linear ever input your x has one output your y

Angela, Breanna, Christine, Debbie, and Esther are in a club and they need to pick two people to go to a
meeting. They write each person’s name on equally sized pieces of paper, put them in a hat, and mix the
papers thoroughly. Find the probability model for this chance process and use it to determine the probability
that Angela gets to go to the meeting.

Answers

So the probability that Angela gets to go to the meeting is 2/5.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain. Probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. It is an important concept in many fields, including mathematics, statistics, physics, and engineering, and is used to make predictions, analyze data, and make decisions under uncertainty.

Here,

There are a total of 5 people in the club, so there are 10 possible pairs of people that could be chosen to go to the meeting. Since each pair is equally likely to be chosen, the probability of any particular pair being chosen is 1/10.

To determine the probability that Angela gets to go to the meeting, we need to count the number of pairs that include Angela. There are 4 other people in the club, so there are 4 possible pairs that include Angela. Therefore, the probability that Angela gets to go to the meeting is:

P(Angela) = number of pairs that include Angela / total number of pairs

= 4 / 10

= 2 / 5

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Why is the second open interval on which the function is decreasing (0, infinity) and not (0, -infinity) if it’s going down? (Photo attached)

Answers

Therefore , the solution of the given problem of function comes out to be the function's behavior on that range because it is not specified for negative values of x.

What does the term function actually mean?

The midterm exam will include questions on design, geometry, numbers, each division, as well as actual and hypothetical geographic places. A piece of work describes the connections between variable elements that cooperate to produce the same outcome. A utility is a structure made up of numerous unique parts that work together to create unique outcomes for each input.

Here,

Given that the function in the graph you supplied is undefinable for negative values of x, its domain is (0, infinity).

Therefore, referring to the function as declining on the interval is illogical. (0, -infinity).

As we travel from right to left on the interval, we can observe that the function's values are indeed decreasing. (0, infinity).

We refer to this interval as the function's declining one because of this.

On the interval, we could state that the function is decreasing.

(-infinity, 0). However, in this specific instance, we are unable to discuss the function's behavior on that range because it is not specified for negative values of x.

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Solve the following. Find the unknown term of the proportion.

Problem:
If 3 pieces of shirts costs Php100. How much are you going to pay for 12 pieces of shirts?

Ps: kung di niyo alam yung sagot wag niyo kunin yung points :))

Answers

Answer:

Step-by-step explanation: 12 / 3 = 4, so php100 x 4 = Php400

Find the interquartile range.

Answers

Answer:

3.7

Step-by-step explanation:

1.5, 2.2, 2.8, 3.4, 5, 5.6, 6.8, 7

Q1 = 2.2+2.8 = 5.0 divided 2 = 2.5

Q3 = 5.6+6.8 = 12.40 divided 2 = 6.2

IQR = 6.2 - 2.5 = 3.7

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The average salary for a Queens College full professor is $85,900. If the average salaries is normally distributed with
standard deviation of $11,000, find the percentage of professors that make more than $75,000.

Answers

According to the question approximately 83.89% of professors make more than $75,000 calculated by forming the equation.

Explain equation?

When the roots and solutions of two equations match, they are said to be equivalent. The same number, symbols, or expression must be added to or subtracted from both the equation's two sides to produce an equivalent equation. By multiplying or dividing both sides of an equation by a nonzero number, we can also obtain an analogous equation.

This issue can be resolved using the conventional normal distribution. First, we need to standardize the value of $75,000 using the formula:

z = (x - μ) / σ

where x is indeed the value we wish to standardise, is indeed the mean, and is the deviation.

z = (75,000 - 85,900) / 11,000

z = -0.99

Next, we look up the area to the right of z = -0.99 in the standard normal distribution table or by using a calculator. The area to the left of z = -0.99 is 0.1611, so the area to the right of z = -0.99 is:

1 - 0.1611 = 0.8389

Therefore, approximately 83.89% of professors make more than $75,000.

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I need help finding the regression equation pls!

Answers

Answer:

i did this in 8th grade. (I'm homeschooled)

Step-by-step explanation:

Heres the best i got

Simplify to create an equivalent expression.

4
(

11
+
4
n
)

3
(

2
n
+
9
)

Answers

Answer:

Step-by-step explanation:

To simplify this expression, we will distribute the -4 and -3 to the terms inside the parentheses:

-4(-11+4n) - 3(-2n+9)

= 44 - 16n + 6n - 27

= -16n - 17

Therefore, the simplified expression is -16n - 17.

Birthday Party!
Sandy and her twin brother Jason are having a birthday party, but... they haven't yet decided how many candy bars to buy.
and they haven't yet decided how many people to invite!
They made a chart to
write down all the
possible combinations
of people and candy
bars so they could
figure out how many people to invite
and how many candy bars to buy.
Across the top is the number of
people they are thinking about
inviting. On the left is the number of
candy bars they are thinking about
buying.
Help them fill out the chart!
Put the number of candy bars that
each person will get in the cell. Look
for patterns as you work to help you
fill the chart out more quickly!
What patterns do you see in the
chart?
How many candy bars will they buy?
1
2
3
4
5
6
7
8
9
10
1
How many people will they invite?
3
5 6
7
8
2
4
5.7 Apprentice Birthday Party Student
Unless otherwise noted, SFUSD Math Core Curriculum is licensed under the Creative Commons Attribution 40 International License
9 10

Answers

Based on the information we can infer that the number of candy bars they buy depends on the number of guests you have.

How to find the number of candy bars they are going to buy?

To find the number of candy bars they are going to buy we need to look at the graph. In this case, if the maximum number of bars they are going to buy is 10 and the maximum number of people they are going to invite is 10, we can infer that 1 bar would correspond to each person.

Based on the above, we can infer that the relationship is directly proportional between the candy bars and the guests. In accordance with the above, the number of sweets depends on the number of guests.

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pls answer fast

Eric is observing the velocity of a runner at different times. After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.


Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the runner at different times. Show your work and define the variables used. (5 points)


Part B: How can you graph the equation obtained in Part A for the first 5 hours? (5 points)


(10 points)

Answers

Answer:

Step-by-step explanation:

Part A:

Let's assume that the velocity of the runner changes linearly over time. We can use the slope-intercept form of a linear equation, y = mx + b, to describe the velocity of the runner at different times. In this case, the y-axis represents the velocity in km/h and the x-axis represents time in hours. We can define:

y = velocity of the runner in km/h

x = time in hours

The velocity of the runner changes by -2/3 km/h for every hour that passes. This gives us a slope of -2/3. We can use the point-slope form of a linear equation to find the equation of the line:

y - 5 = -2/3(x - 1)

Simplifying this equation, we get:

3y - 15 = -2x + 2

Rearranging to standard form, we get:

2x + 3y = 17

So the equation in two variables in standard form that can be used to describe the velocity of the runner at different times is 2x + 3y = 17.

Part B:

To graph the equation obtained in Part A for the first 5 hours, we can simply plot points for different values of x and y. For example, we can use x = 0, 1, 2, 3, 4, and 5 to find the corresponding values of y using the equation 2x + 3y = 17. Then we can plot these points on a graph and connect them with a straight line.

Here are the values of y for different values of x:

x = 0, y = 17/3

x = 1, y = 5

x = 2, y = 13/3

x = 3, y = 3

x = 4, y = 7/3

x = 5, y = 1

Plotting these points and connecting them with a straight line, we get the graph of the equation 2x + 3y = 17 for the first 5 hours:

|

6.0 -| .

| .

5.5 -| .

| .

5.0 -| .

|.

4.5 -|

|

4.0 -| .

| .

3.5 -| .

| .

3.0 -| .

|.

2.5 -|

|

2.0 -| .

| .

1.5 -| .

| .

1.0 -|.

|

0.5 -|

|

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

0 1 2 3 4 5

The y-intercept of the line is 17/3, which represents the initial velocity of the runner at time 0. The slope of the line is -2/3, which represents the rate of change of the velocity over time.

Answer: CLICK THANKS IF YOU LIKE MY ANSWER. HAVE A GOOD DAY SIR/MAAM #KEEPSAFE

Part A:

Let v be the velocity of the runner in km/h and let t be the time elapsed in hours. We can use the two given data points to form a system of two equations:

v = 5 when t = 1

v = 3 when t = 3

To find the equation in standard form, we can first use point-slope form:

v - 5 = m(t - 1) (using the point (1, 5))

v - 3 = m(t - 3) (using the point (3, 3))

Simplifying both equations:

v - 5 = m(t - 1)

v - 3 = m(t - 3)

v = mt + (5 - m)

v = mt + (3m - 3)

Setting the right-hand sides equal to each other:

mt + (5 - m) = mt + (3m - 3)

Simplifying and rearranging:

-m = -2

m = 2

Substituting m = 2 into one of the equations above:

v = 2t + 3

This is the equation in two variables in standard form that describes the velocity of the runner at different times.

Part B:

To graph the equation v = 2t + 3 for the first 5 hours, we can plot points for different values of t and then connect them with a line. For example:

When t = 0, v = 3, so the point (0, 3) is on the line.

When t = 1, v = 5, so the point (1, 5) is on the line.

When t = 2, v = 7, so the point (2, 7) is on the line.

When t = 3, v = 9, so the point (3, 9) is on the line.

When t = 4, v = 11, so the point (4, 11) is on the line.

When t = 5, v = 13, so the point (5, 13) is on the line.

Plotting these points on a coordinate plane and connecting them with a line, we get the graph of the equation v = 2t + 3 for the first 5 hours:

    |

 15 +-------*

    |       |

 13 +           *

    |           |

 11 +               *

    |               |

  9 +                   *

    |                   |

  7 +                       *

    |                       |

  5 +                           *

    |                           |

  3 +---------------*-----------*

    0   1   2   3   4   5   6   7


The x-axis represents time (t) in hours, and the y-axis represents velocity (v) in km/h. The line starts at (0, 3) and has a slope of 2, indicating that the velocity is increasing by 2 km/h for every hour that passes.

Step-by-step explanation:

Assume that the first term of a sequence is -3. Write the first four terms of the sequence if it is an arithmetic sequence with a common difference of -1/3.

Answers

Answer:

The first term of the sequence is -3 and the common difference is -1/3. Therefore, the second term of the sequence can be found by adding the common difference to the first term:

second term = first term + common difference

second term = -3 + (-1/3)

second term = -10/3

Similarly, we can find the third term by adding the common difference to the second term:

third term = second term + common difference

third term = -10/3 + (-1/3)

third term = -11/3

And we can find the fourth term by adding the common difference to the third term:

fourth term = third term + common difference

fourth term = -11/3 + (-1/3)

fourth term = -4

Therefore, the first four terms of the sequence are -3, -10/3, -11/3, and -4.

pls help quick. this was due a while ago. my math teacher doesnt teach and tells us to “read from the book.”

Answers

Answer:

183.3

Step-by-step explanation:

Since there were 1 angle and 2 sides, I used law of cosines

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