Three-dimensional objects can grow from both one-dimensional and two-dimensional objects when subjected to thermal expansion, which causes areas and volumes, as well as lengths, to increase with temperature.
Explanation:A three-dimensional object can grow or expand from two-dimensional objects, such as areas (length and width), as well as from one-dimensional objects, such as lengths. When considering thermal expansion in two and three dimensions, it is important to understand that unconstrained objects expand in all dimensions: their areas (two-dimensional) and volumes (three-dimensional), as well as their lengths (one-dimensional), increase with temperature.
For example, if we have a metal plate (a two-dimensional object) with a circular hole in it and we increase the temperature, the area of the plate including the circular hole will increase (Figure 13.11 (a)). Similarly, if we have a solid metal block (a three-dimensional object), its volume will increase with temperature (Figure 13.11 (c)).
The thermal expansion process is explained by the fact that, as temperature increases, the atoms or molecules making up a material move farther apart, causing expansion. This is true for both holes and solid parts of a material, they both grow larger with increased temperature. Therefore, all one-dimensional, two-dimensional, and three-dimensional aspects of an object expand proportional to the increase in temperature.
Kelly orders t-shirts and sweaters from a clothing company she buys them at the prices of $659.00 for a t-shirt and $600.00 for a sweater the quantity is 100 for a t-shirt and 50 for a sweater how much does one sweater cost than one t-shirt?
In the election for class president, Marcus got 0.59375 of the vote. Which of the following statements could be true?
A. Marcus got 59/75 votes
B. Marcus got 60/100 votes
C. Marcus got 80/136 votes
D. Marcus got 95/160 votes
item is mainly priced at $80. It is now priced at a discount 60% off the regular price. What is the price now ?
Which ratios are in a proportional relationship? A. 2 to 5 and 4 to 16 B. 2 to 3 and 4 to 6 C. 4 to 5 and 10 to 15 D. 4 to 5 and 8 to 12
Answer:
it's A or D
Step-by-step explanation:
On the last history quiz, Kanesha answered 0.75 of the 20 questions correctly. How many questions did Kanesha answer correctly?
Explain how the areas of a triangle and a parallelogram with the same base and height are related
The area of a triangle is half the area of a parallelogram with the same base and height because a triangle's area is calculated using half the product of its base and height, while a parallelogram's area is the full product of its base and height.
The areas of a triangle and a parallelogram with the same base and height are related in that the area of the triangle is exactly half the area of the parallelogram. To understand this, recall that the area of a parallelogram is calculated by multiplying its base by its height ( extit{Base x Height}). A triangle sharing the same base and height will have half the area because the area of a triangle is given by half the product of its base and height ( extit{0.5 x Base x Height}).
Let's say we have a parallelogram and a triangle with the same base 'b' and height 'h'. The area of the parallelogram is extit{b x h}, while the area of the triangle will be extit{0.5 x b x h}. This relationship can be visualized by drawing a diagonal across the parallelogram, which cuts it into two equal triangles, each having the same area as the original triangle we're comparing it to.
math mate problem
I have $100 which I wish to buy exactly 100 animals to feed to my snake. succulent mice cost $5, large Juicy fresh cockroaches are $1, and imported flies are $0.05 each .if I spend every cent buying these animals and I buy at least one of each how many cockroaches will I buy?
The number of co.ck.roaches that one can buy is given as: 95
It is to be noted that this was solved using the knowledge of Algebraic Equations.
An algebraic equation is one where two mathematical statements are equated to one another. See how we arrive at the answer using algebra statements below.
What is the solution to the question?Let us set the
Number of Mice to X Number of Co.ck.roaches to Y; andNumber of Flies to Z.Note that the total money required for the snake's food is thus given as:
X + Y + Z = 100.................................A
5X + Y + 0.05Z = 100 .......................B
To remove the decimals in B, we multiply same both sides of the equation by 20 to get:
100X + 20Y + Z = 2,000 ........................C
Recall that the number of each animal purchased must ≥ 1
Since we are looking at the number of co.ck.roaches, let us set
X = 1
Z = 1
This gives us:
100 + 20Y + 1 = 2,000
Thus
20Y = 2,000-100-1
Y = 1899/20
Y = 94.95
Hence the answer is approximately 95 co.ckroaches.
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how to solve measurement a pool that holds 320 cubic feet of water is 84 percent filled to capacity. another pool that hold 400 cubic feet of water is 82.5 percent filled to capacity. which pool contains more water? how much more?
A gardener needs to pack 16 pounds of beans into 20 bags. He wants all the bags to weight about the same. About how much will each bag weigh?
Mamie saved 161.25. This is 25% of the amount she needs to save. How much money does Mamie need to save?
How old am I if 400 reduced by 2 times my age is 244?
If 400 reduced by 2 times your age is 244, you will be 78 years old. This conclusion was reached by solving the equation 400 - 2x = 244, where x represents the unknown age.
Explanation:To solve the problem given, you need to work with the equation provided: 400 decreased by 2 times your age is 244. In mathematical terms, this can be written as 400 - 2x = 244, where 'x' represents your age.
Next, you need to solve for 'x'. The first step is to isolate 'x' by moving terms around. Add 2x to both sides to get 400 = 244 + 2x and then subtract 244 from both sides to get 156 = 2x. You finish the process by dividing both sides by 2, which gives you x = 78. Therefore, if 400 reduced by 2 times your age is 244, you are 78 years old.
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Simplify the ratio 36 to 45.
The simplified ratio of 36 to 45 is 4 to 5.
To simplify the ratio 36 to 45,
First, find the greatest common divisor (GCD) of 36 and 45 as
36 = 1, 2, 3, 4, 6, 9, 12
45 = 1, 3, 5, 9, 15 .
So, the GCD of 36 and 45 is 9.
Now, simplifying the ratio
= 36/48
= (9 x 4)/ (9 x 5)
= 4/5
Therefore, the simplified ratio of 36 to 45 is 4 to 5.
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The electronics store is having a sale on video games. The regular price for a video game is $42.90. Michael bought three games at the sale price and paid $90.09. What percent discount did he receive?
Answer:
i might be wrong but the answer is A
Step-by-step explanation:
Write an expression that can be used to multiply 6 x 198 mentally.
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
Suppose Salesmen A and B have the same number of sales and earn the same amount in Week 4 of this month. How many sales must they both have had?
A computer software store is having a sale. The table shows the regular price r and the sale price s of various items. Which formula can be used to calculate the sale price?
Final answer:
The formula to calculate the sale price of items on sale is s = r - (r × discount rate), where 's' is the sale price, 'r' is the regular price, and the discount rate is expressed as a decimal. An example illustrates the process for a $100 item with a 20% discount, resulting in a sale price of $80.
Explanation:
Generally, the sale price can be calculated by subtracting the discount amount from the regular price. The discount amount itself is often a percentage of the regular price. Therefore, if the discount rate is given as a percentage, the formula to find the sale price could be expressed as s = r - (r × discount rate). This is a simplification and assumes that the discount rate needs to be converted from a percentage to a decimal form before applying.
For example, if an item's regular price is $100, and there is a 20% discount, the calculation would be: s = 100 - (100 × 0.20) = $80. Hence, the sale price is $80. This formula is crucial for both customers and businesses to understand how much they save or earn respectively on sale items.
Olivia filled 6 baskets of strawberries. Later she combined the fruit evenly into 3 larger boxes. If all 3 boxes sold for $42, how much money did each box of strawberries cost?
What's the area of 8.6 and 3.7?
8.6m
◼️◼️◼️◼️◼️ 3.7m
The county fair charges 1.00 per ride and additional 3.00 to get in. Write an equation to represent the total cost of attending the fair
Final answer:
The total cost of attending the fair with an access fee and a per-ride charge is represented by the equation C = 3 + 1 × x, where x is the number of rides taken.
Explanation:
To calculate the total cost of attending the county fair which includes an access fee and a per-ride charge, we can write an equation where x represents the number of rides a person takes. The access fee is a fixed cost of $3.00, and the per-ride cost is $1.00. Therefore, if a person takes x rides, the total cost C can be represented by the equation:
C = 3 + 1 × x
For example, if the person takes 5 rides, we would calculate the total cost as 3 + 1 × 5 = $8.00.
george collects 25 baseball cards each month. how many cards will he have at the end of one year?complete the equation to help you solve the problem . 25 × =n
Marsha is driving 650 total miles on a trip. She has already driven of the distance. How far has Marsha driven?
how do you solve 21/4=1/2x+3x and whats the answer?
Dakota had a kite with 25 6/12 string.The kite got stuck in a tree.she lost 4 3/12 feet of string trying to free it.how much string does Dakota still have?
Final answer:
After subtracting the lost string (4 3/12 feet) from the initial length (25 6/12 feet) and simplifying, Dakota is left with 21 1/4 feet of kite string.
Explanation:
To calculate the amount of kite string Dakota has left after losing some, we need to perform a subtraction operation involving mixed numbers. Initially, Dakota had 25 6/12 feet of kite string. When Dakota's kite got stuck, she lost 4 3/12 feet of string.
First, let's simplify the mixed numbers by converting them to improper fractions. To do this, multiply the whole number by the denominator and add the numerator. So, 25 6/12 becomes (25 × 12) + 6 = 300 + 6 = 306/12. Similarly, 4 3/12 becomes (4 × 12) + 3 = 48 + 3 = 51/12.
Now subtract the lost string from the initial length: 306/12 - 51/12 = 255/12. Finally, we convert this back to a mixed number by dividing the numerator by the denominator: 255 ÷ 12 = 21 with a remainder of 3, which gives us 21 3/12 feet of string, or 21 1/4 feet when simplified.
Therefore, Dakota now has 21 1/4 feet of kite string left.
Explain how you would show 135% on a 10-by-10 grid.Then use the grids below to show 135%. HELP QUICK!
What is the value of 7 in 0.750
How many sixteenths are in 15/16?
Which statements about the value of the digits in the number 6,666,666 are true?
Choose all answers that are correct.
A.
The digit in the thousands place is the value of the digit in the ten thousands place.
B.
The digit in the hundred thousands place is the value of the digit in the millions place.
C.
The digit in the ten thousands place is 10 times the value of the digit in the thousands place.
D.
The digit in the hundreds place is 60 times the value of the digit in the tens place.
fraction is the part that tells how many units the fraction contain
If the original quantity is 4 and the new quantity is 7, what is the percent increase
Answer: 75%
Step-by-step explanation: The other guy was right.
a car travels 406 miles in 7 hours (with a constant speed). how mush time will it take traveling 435 miles?