What is the name for potential difference that causes current to flow?
electric charge
static discharge
voltage
voltage
The name for potential difference that causes current to flow is voltage.
The name for the potential difference that causes current to flow is voltage.
Voltage is the measure of electric potential energy per unit charge in an electric circuit. It represents the electrical force or pressure that pushes or drives the electric charges, allowing them to flow through a conductor. Voltage is typically measured in volts (V).
To understand and calculate voltage, you can use Ohm's Law, which states that voltage (V) is equal to the product of current (I) and resistance (R): V = I * R. This equation indicates that an increase in current or resistance will result in a corresponding increase or decrease in voltage, respectively.
What is the term for the basic unit of electric current?
The basic unit of electric current is the
.
The basic unit of electric current is the ampere (A).
Use the drop-down menus to complete the sentences.
A thin wire has
resistance than a thick wire.
A short wire has
resistance than a long wire.
A warm wire has
resistance than a cool wire.
A thin wire has *more* resistance than a thick wire.
A short wire has *less* resistance than a long wire.
A warm wire has *less* resistance than a cool wire.
Its MORE LESS MORE
Apologies for the confusion. You are correct.
A thin wire has **more** resistance than a thick wire.
A short wire has **less** resistance than a long wire.
A warm wire has **more** resistance than a cool wire.
Use the drop-down menu to complete the sentence.
In a good conductor, electrical resistance is
.
In a good conductor, electrical resistance is *low*.
Mia will use one of these boards for the length of the shelter. She knows she wants the length of the shelter to measure 3.25 feet. She will use a different board for the width of the shelter. The width of the shelter will be shorter than the length. %0D%0AWhich board will Mia use for the length of the shelter, given that 1 foot = 12 inches? %0D%0AWhat is the width of the shelter, measured in feet? %0D%0AMia needs to cut the third board to match the width of the shelter. How many feet of board will she need to cut off the existing board to reach this goal? %0D%0AFor the roof of the shelter, Mia has a board that measures 1 square yard, a second board that measures 3 feet by 3 feet, and a third board that measures 36 inches by 36 inches. 1 ft. = 13%0D%0A1%0D%0A3%0D%0A yard.%0D%0AWhich of the boards, if any, will cover all the space needed for the roof? Explain your answer, drawing a picture as necessary.
Mia will use the first board for the length of the shelter since she wants the length to measure 3.25 feet.
Given that the width of the shelter will be shorter than the length, let's calculate the width. We need to convert 3.25 feet to inches since the width will be measured in feet. Since 1 foot equals 12 inches, the width of the shelter is 3.25 * 12 = 39 inches.
To match the width of the shelter, Mia needs to cut off the existing board. Since the width is 39 inches and 1 foot equals 12 inches, she needs to cut off 39 / 12 = 3.25 feet of the existing board.
For the roof of the shelter, let's compare the dimensions of the available boards:
- The first board measures 1 square yard.
- The second board measures 3 feet by 3 feet.
- The third board measures 36 inches by 36 inches.
To compare the sizes, we need to convert all the measurements to the same unit. Since 1 yard equals 3 feet or 36 inches, the first board measures 3 feet by 3 feet, just like the second board. Therefore, both the second and third boards will cover all the space needed for the roof of the shelter.
Roger is planning a party. He needs these ingredients in the following quantities to make punch: %0D%0A%0D%0A2 quarts orange juice %0D%0A3 cups cranberry juice %0D%0A1 gallon ginger ale %0D%0A1 pint pineapple juice %0D%0ARoger knows he will need a relatively large container to mix the punch. Unfortunately, all he can find is a bowl that holds 8 liters of liquid. He is not sure whether he can fit all the ingredients in the bowl at the same time. %0D%0A%0D%0AUse the following measurement equivalents to determine if Roger can use the 8-liter bowl to mix all the ingredients for the punch. 1 liter is about 4.23 cups, 2.11 pints, 1.06 quarts, and 0.26 gallons. Show your work. %0D%0A%0D%0AIf Roger can use the bowl, he needs to determine how many liters of liquid could still fit into the bowl. If he cannot use the bowl, he needs to determine how many extra liters of liquid there are. Round your answers to the nearest tenth of a liter. Show your work. %0D%0A%0D%0ARoger also wants to make sandwiches for his guests. He buys the following sandwich fillings:%0D%0A1.5 kilograms of turkey%0D%0A1.25 kilograms of beef%0D%0A2.25 pounds of cheese%0D%0ARoger wants to know if he purchased more turkey or more cheese. Use the conversion ratio 1 kilogram = about 2.2 pounds to determine the correct answer. Show your work. %0D%0ARoger discovers that he needs to buy some chicken as well. He buys an amount of chicken that weighs more than the beef he bought and less than the turkey he bought. Give an amount in pounds that the chicken could weigh, rounded to the nearest hundredth of a pound. Show your work.%0D%0ARoger is curious to know the total weight of all four sandwich fillings he bought. He weighs the fillings twice, once using ounces and once using grams. If 16 ounces = 1 pound and 1,000 grams = 1 kilogram, will the total weight of the sandwich fillings be a greater number of ounces or a greater number of grams? Explain your answer.%0D%0ACalculating Sales Tax%0D%0AUse what you have learned about using proportional relationships to answer the following questions.%0D%0A%0D%0AYou are visiting one of the following states: Tennessee, Vermont, Wisconsin, or Wyoming. Each has a state sales tax on most items that are for sale in stores. While you are visiting, you decide to buy a board game to play with your hosts. The cost of the game is between $10 and $20, and it is not a whole dollar amount. %0D%0A%0D%0ADecide the cost of the board game. %0D%0AChoose one of the four states: Tennessee, Vermont, Wisconsin, or Wyoming. %0D%0AResearch to find your chosen state’s general sales tax. Note that some counties, towns, or cities may add more to the general sales tax, but you only need the general sales tax. %0D%0AWhat is the total cost of the board game, including sales tax? Show your work. %0D%0ASolving Personal Finance Percentage Problems%0D%0AUse what you have learned about solving percentage problems involving personal finance to answer the following questions. %0D%0A%0D%0ALi earns $30 each week mowing lawns in her neighborhood. She puts 60% of her earnings into her savings account at the end of each month. How much money does Li deposit into her account each month? Show your work. %0D%0AAfter saving $250, Li invests in a certificate of deposit (CD) that pays 2.6% annual interest. What will be the value of Li’s CD after she has had it for one year? Show your work. %0D%0ALi wants to buy a skateboarding helmet and pads. She sees a set she likes at a sporting goods store. The set costs $54.99. It is on sale for 30% off. Li has a coupon that will take an additional 10% off the sale price. She lives in a state that charges 5.75% sales tax. How much will Li have to earn to pay for the skateboarding set? Show your work.
To determine if Roger can use the 8-liter bowl to mix all the ingredients for the punch, we need to convert the quantities of each ingredient to liters and then calculate the total volume.
Given:
1 liter ≈ 4.23 cups
1 liter ≈ 2.11 pints
1 liter ≈ 1.06 quarts
1 liter ≈ 0.26 gallons
Converting the quantities for each ingredient to liters:
2 quarts orange juice = 2 * 1.06 = 2.12 liters
3 cups cranberry juice = 3 * 4.23 / 4 = 3.19 liters
1 gallon ginger ale = 1 * 3.79 = 3.79 liters
1 pint pineapple juice = 1 * 2.11 / 2 = 1.06 liters
Calculating the total volume of the ingredients:
Total volume = 2.12 + 3.19 + 3.79 + 1.06 = 10.16 liters
Since the total volume of the ingredients is 10.16 liters, which is greater than the capacity of the 8-liter bowl, Roger cannot use the bowl to mix all the ingredients.
To determine how many extra liters of liquid there are, we subtract the capacity of the bowl from the total volume of the ingredients:
Extra liters = 10.16 - 8 = 2.16 liters
Therefore, Roger would have 2.16 liters of extra liquid that wouldn't fit in the bowl.
For the sandwich fillings:
1.5 kilograms of turkey = 1.5 * 2.2 = 3.3 pounds
1.25 kilograms of beef = 1.25 * 2.2 = 2.75 pounds
2.25 pounds of cheese = 2.25 pounds
From the calculations, we can see that Roger purchased more turkey (3.3 pounds) than cheese (2.25 pounds).
Since the chicken weighs more than the beef but less than the turkey, the weight of the chicken could be between 2.76 pounds and 3.29 pounds, rounded to the nearest hundredth of a pound.
To determine the total weight of all four sandwich fillings, we need to convert all the weights to the same unit.
1 kilogram ≈ 2.205 pounds (approximation based on the conversion ratio)
Converting the weights:
1.5 kilograms of turkey = 1.5 * 2.205 = 3.3075 pounds
1.25 kilograms of beef = 1.25 * 2.205 = 2.75625 pounds
2.25 pounds of cheese = 2.25 pounds
The total weight of the sandwich fillings is 3.3075 + 2.75625 + 2.25 = 8.31375 pounds when measured in pounds.
Since 16 ounces = 1 pound, the total weight in ounces would be greater than the total weight in grams. Therefore, the total weight of the sandwich fillings would be a greater number of ounces than grams.
Calculating sales tax:
Since the specific state is not mentioned, it is not possible to determine the exact sales tax rate. Each state has its own sales tax rate, which can vary. The cost of the board game and the sales tax would depend on the specific state's sales tax rate.
Solving personal finance percentage problems:
Li earns $30 each week mowing lawns. Since she puts 60% of her earnings into her savings account at the end of each month, the amount she deposits into her account each month can be calculated as follows:
Amount deposited = $30 * 0.6 * 4 = $72
Therefore, Li deposits $72 into her account each month.
After saving $250, Li invests in a certificate of deposit (CD) that pays 2.6% annual interest. The value of Li's CD after one year can be calculated as follows:
CD value = $250 + ($250 * 0.026) = $256.5
Therefore, the value of Li's CD after one year would be $256.5.
For the skateboarding set:
The initial cost of the set is $54.99. The set is on sale for 30% off, so the sale price would be:
Sale price = $54.99 - ($54.99 * 0.3) = $38.49
Li has a coupon that will take an additional 10% off the sale price, so the final price would be:
Final price = $38.49 - ($38.49 * 0.1) = $34.64
The state charges a 5.75% sales tax, so the total cost including sales tax would be:
Total cost = $34.64 + ($34.64 * 0.0575) = $36.54
Therefore, Li would have to earn at least $36.54 to pay for the skateboarding set.