MATHEMATICS HIGH SCHOOL

Choose the most precise measurement?
A. 8 mL
B. 12 mL
C.1 mL
D. 0.05 mL

Answers

Answer 1
Answer: D. 0.05 is most precise as it is has the greatest number of numbers after the decimal place.

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What is 1 divided by tan(x) ?

Answers

Your answer:

1/tanx = 1/(sinx/cosx) = cosx/sinx = cotx

3 cans that store 9 tennis balls... Find the constant of proportionality & write a equation to represent the relationship PLEASE help

Answers

3 cans store 9 tennis balls.
Find the Constant of proportionality and write and equation with regards to this given situation:
=> number of tennis balls = 9
=> number of cans = 3

 So the constant of proportionality is  in the working column. Pls see attached.



YOUR ASSIGNMENT: Factory Lighting ProblemIn this assignment, you may work alone, with a partner, or in a small group. Discuss the results of your work and/or any lingering questions with your teacher.

You are deciding whether to light a new factory using bulb A, bulb B, or bulb C.

Which bulb would be better to use on the factory floor?
Which bulb would be better to use in the break room?
To answer these questions, you will compare the energy usage of the three bulbs. The amount of energy the lights use is measured in units of kilowatt-hours. A kilowatt-hour is the amount of energy needed to provide 1000 watts of power for 1 hour.

1. Circle the two bulbs you picked.
incandescent
Halogen
Fluorescent

2.



3. Practice: Summarizing (3 points)
Fill in the blanks.

The energy usage of a light bulb is a function. The input for the function is _________, measured in hours.

The output of the function is energy usage, measured in ____________.

Identify the functional relationship between the variables. _________________ is a function of _________________.

The graph of the function will show energy usage on the _____________ axis and time on the _______________ axis.
4. Practice: Organizing Information (2 points)
Use the data given to complete the table for your first bulb.
DATA TABLE A
Time (hours) x Energy (kWh) y Point (time, energy) (x, y)
3
10
5. Practice: Organizing Information (2 points)
Use the data given to complete the table for your second bulb.
DATA TABLE B
Time (hours)x Energy (kWh)y Point (time, energy)(x, y)
3
10
6. Practice: Organizing Information (5 points: 1 point for labels, 2 points for each graph)

Label the axes of the graph with "Time (hours)" and "Energy (kWh)." Plot the points from Table A on the graph. Connect the points with a line. On the same graph, plot the points from Table B and connect them with a line.


7. Practice: Summarizing (1 point)
Classify each of your graphs as increasing, decreasing, or constant.

First bulb: ___________________


Second bulb:___________________

8. Practice: Summarizing (2 points)
Fill in the blanks.

First bulb: When 3 is the input, the output is _____. When 10 is the input, the output is _______.


Second bulb: When 3 is the input, the output is _____. When 10 is the input, the output is _______.

9. Practice: Summarizing (1 point)
The workers leave the lights on in the break room for stretches of about 3 hours. Which light bulb would light this room using the least amount of energy?








10. Practice: Summarizing (1 point)
The lights in the main room of the factory stay on for stretches of 9 hours. Which kind of light bulb would light this room with the least amount of energy?

Answers

Answer:

To determine which bulb would be better to use on the factory floor and in the break room, we need to compare the energy usage of the three bulbs: incandescent, halogen, and fluorescent.

1. Based on energy efficiency, we would circle the two bulbs that are more energy-efficient: halogen and fluorescent.

3. Summarizing:

- The energy usage of a light bulb is a function. The input for the function is time, measured in hours.

- The output of the function is energy usage, measured in kilowatt-hours (kWh).

- Time is a function of energy usage.

4. Organizing Information: DATA TABLE A

Time (hours) x Energy (kWh) y Point (time, energy) (x, y)

3 -

10 -

5. Organizing Information: DATA TABLE B

Time (hours) x Energy (kWh) y Point (time, energy) (x, y)

3 -

10 -

6. Organizing Information:

- Graph 1: Label the axes with "Time (hours)" and "Energy (kWh)". Plot the points from Table A and connect them with a line.

- Graph 2: Label the axes with "Time (hours)" and "Energy (kWh)". Plot the points from Table B and connect them with a line.

7. Summarizing:

- Graph 1 (First bulb) classification: Unknown, as the points are not provided.

- Graph 2 (Second bulb) classification: Unknown, as the points are not provided.

8. Summarizing:

- First bulb: When 3 hours is the input, the output (energy usage) is unknown. When 10 hours is the input, the output (energy usage) is unknown.

- Second bulb: When 3 hours is the input, the output (energy usage) is unknown. When 10 hours is the input, the output (energy usage) is unknown.

9. Summarizing:

- To determine which light bulb would consume the least amount of energy in the break room for stretches of about 3 hours, we need the data or information on energy usage for each bulb. Without that information, it's not possible to make a definitive conclusion.

10. Summarizing:

- Similarly, to determine which light bulb would consume the least amount of energy in the main room of the factory for stretches of 9 hours, we need the data or information on energy usage for each bulb. Without that information, it's not possible to make a definitive conclusion.

In summary, without the energy usage data for each bulb, we cannot determine which bulb would be better to use on the factory floor or in the break room, or which bulb would consume the least amount of energy for specific time durations.

Step-by-step explanation:

Determine the equation in the form y=mx+b for passing through each pair of points (0,8) and (4,3)

Answers

y=mx+b\n\nA(0;\ 8);\ B(4;\ 3)\n\nsubstitution\n\n \left\{\begin{array}{ccc}0m+b=8\n4m+b=3\end{array}\right\n\n\left\{\begin{array}{ccc}b=8\n4m+b=3\end{array}\right\n\left\{\begin{array}{ccc}b=8\n4m+8=3\end{array}\right\n\left\{\begin{array}{ccc}b=8\n4m=3-8\end{array}\right\n\left\{\begin{array}{ccc}b=8\n4m=-5&/:4\end{array}\right\left\{\begin{array}{ccc}b=8\nm=-(5)/(4)\end{array}\right

Answer:y=-(5)/(4)x+8
This requires y2 - y1/ x2 - x1 as the slope. I got y=-5/4x+8 as my answer

The greater of two numbers is twice the lesser if the greater is increased by 18 the result is 4 less than 4 times the lesser that the numbers

Answers

Answer:

In short, 5 is the lesser number and 19 is the greater number.

Step-by-step explanation:

So for this, we will be doing a system of equations. Using the info from our question, our two equations are:

(let x = greater number and y = lesser number)

Now, for this I will be using the substitution method. Since we know that x = 4y - 1, substitute that into the second equation:

From here we can solve for y. Firstly, combine like terms:

Next, subtract 4y on both sides of the equation:

Next, multiply both sides by -1:

Now that we know the value of y, substitute it into either equation to solve for x:

Answer:

In short, 5 is the lesser number and 19 is the greater number.

Find the rate of balls hit to times at bat

Answers

Rate balls hit : Times at bat  =  150 : 500

= 150 / 500    Cancel out the zero

= 15/50          5 into 15 is 3, and 5 into 50 is 10.

= 3/10

3 to 10.
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