1. How much heat is absorbed by a 50g iron skillet when its temperature rises from 10oC to 124oC? Joules
2. If a refrigerator is a heat pump that follows the first law of thermodynamics, how much heat was removed from food inside of the refrigerator if it released 492J of energy to the room? Joules
3. How much heat is needed to raise the temperature of 45g of water by 63oC? Joules
Dan is calculating the volume of two cylinders. Cylinder A has a radius of 2 feet and a height of 4 feet. Cylinder B also has a height of 4 feet, but the radius has been doubled. Which statement best describes the relationship between the volumes of the two cylinders?
cylinder B is 4 times the size of A
387,422 rounded to the nearest hundred thousand
29,141 write in expanded form
Estimate the product of 75x5
Answer:
375
Step-by-step explanation:
Write the slope intercept form of the equation of each line algebra 1
gwen borrows $300 from her parents to buy a bike she agrees to pay them back plus 3% intrest over year write an equation to represent the total amount she owes her parents? what is the total amount she will owe her parents?
Gwen will owe her parents a total of $309.
To represent the total amount Gwen owes her parents after borrowing $300 with 3% interest over a year, we can use the formula for simple interest:
[tex]\[ \text{Total amount} = \text{Principal} + \text{Interest} \][/tex]
Given:
Principal (P) = $300
Interest rate (r) = 3% or 0.03 (as a decimal)
Time (t) = 1 year
Now, plug the values into the formula:
[tex]\[ \text{Interest} = P \times r \times t \][/tex]
[tex]\[ \text{Interest} = 300 \times 0.03 \times 1 \][/tex]
[tex]\[ \text{Interest} = 9 \][/tex]
Now, add the interest to the principal to get the total amount:
[tex]\[ \text{Total amount} = 300 + 9 \][/tex]
[tex]\[ \text{Total amount} = \$309 \][/tex]
So, the equation to represent the total amount Gwen owes her parents is:
[tex]\[ \text{Total amount} = 300 + 300 \times 0.03 \times 1 \][/tex]
[tex]\[ \text{Total amount} = 300 + 9 \][/tex]
[tex]\[ \text{Total amount} = \$309 \][/tex]
Therefore, Gwen will owe her parents a total of $309.
I want to test for symmetry when theta=pi-theta...........r=4cos 2theta
Jill wants to put 45 sunflower seeds, 81 corn plants, and
63 tomato plants in her garden. If she puts the same
number of plants in each row and if each row as only
one type of plant, what is the greatest number of plants
that Jill can put in one row?
A town has two high schools. The town has only one baseball field. There are 1,000 seats available for students to watch baseball games. All of the 10th grade students at both high schools want to attend a game. The greatest percentage of 10th grade students who will have a seat is
Show how to equate
- 15 + 12.8
how to equate: to add 12.8 to -15 subtract 12.8 from 15
15-12.8 =2.2
since 15 is negative and is larger than 12.8 the answer would be negative so 2.2 becomes -2.2
-15 + 12.8 = -2.2
-15 + 12.8 equates to -2.2 by subtracting the smaller absolute value from the larger one and considering the sign of the number with the larger absolute value. The solution involves basic arithmetic with negative and positive numbers.
Solving the Equation -15 + 12.8
To solve the equation -15 + 12.8, follow these steps:
Consider the two numbers: -15 (a negative integer) and 12.8 (a positive decimal).When adding a positive number to a negative number, subtract the smaller absolute value from the larger absolute value.The absolute values are: |12.8| = 12.8 and |-15| = 15. So, subtract 12.8 from 15.15 - 12.8 = 2.2Since the larger absolute value is from the negative number (-15), the result will be negative.Therefore, the solution is -2.2.So, -15 + 12.8 equates to -2.2.
If c – 8 is an odd integer, which of the following could be the value of c?
If c – 8 is an odd integer, then c could be any even number greater than 8 such as 10, 12, 14, 16, because when you subtract 8 from these even numbers, the result is an odd integer.
Explanation:The question requires us to find the value of c if c : 8 is an odd integer. So, if c : 8 is an odd integer, that means whatever number c is, when you subtract 8 from it, you should get an odd number. Odd numbers are integers that are not divisible by 2 and they usually end in 1, 3, 5, 7, or 9. Therefore, the possible values for c can be any even number greater than 8, such as 10, 12, 14, 16, and so on. That's because when you subtract 8 from these even numbers, the result will be an odd integer.
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Judy thought of a number, subtracted 11 from it, divided the result by 8 and then added seven to it and got an answer of 10. What is Judy's number?
The sum of eight and a number is one hundred. What is the number?
A certain breed of mouse was introduced onto a small island with an initial population of 320 mice, and scientists estimate that the mouse population is doubling every year. (a) find a function that models the number of mice m after t years.
What is 2 2/5 x 1/4=
A scatter plot is used to visualize the association between two quantitative variables tru false
In a lottery game you pick ine number from 000 to 999. If you pick one such number, what is the probability that you will win the lottery
The model was shaded two different ways to show a product. Which product is shown by the model?
Answer:
3/4.
Step-by-step explanation:
4/8 simplified=1/2 6/8 simplified=3/4.
4 different math books, 6 different physics books and 2 different chemistry books are to be arranged on a shelf. how many different arrangements are possible if
12+5x-8=2(6X-5)
show all work plz
Carlie works at a bakery making bagels and donuts. the oven timer for the donuts buzzes every 30 minutes, and the timer for the bagels buzzes every 40 minutes. if she started both timers at 8:00
a.m., when will the timers buzz at the same time?
The donut and bagel timers at Carlie's bakery will buzz together every 2 hours, so they will buzz at the same time for the first time at 10:00 a.m.
Explanation:This question is about finding the Least Common Multiple (LCM) of the two numbers - 30 minutes (the time the donut timer buzzes) and 40 minutes (the time the bagel timer buzzes). The LCM of 30 and 40 is 120 minutes. This means that the timers for the bagels and the donuts will buzz at the same time every 120 minutes, or 2 hours. Since Carlie starts both timers at 8:00 a.m., the timers will buzz together for the first time at 10:00 a.m.
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Write 2.1111111 as a mixed number
The perimeter of a rectangular field is 380yd. The length is 50 yd longer than the width. Find the dimensions.
The length of the given rectangular field is 120 yd while the width is 70 yd.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
Let's say the length of a rectangle is L while the width is W
So,
Perimeter 2(L + W) = 380
And,
L = W + 50
By substitution,
W + 50 + W = 190
2W + 50 = 190
2W = 140
W = 70
And
L = 70 + 50 = 120
Hence "The length of the given rectangular field is 120 yd while the width is 70 yd.
For more about rectangles,
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Evaluate a/b for a = 1/2 and b = -3/7
Answers:
3/14
-32/21
-3/14
-7/6
what is the distance between points A and B?
An object is launched vertically in the air at 24.5 meters per second from a 11-meter-tall platform. Using the projectile motion model h(t)=-4.9t^2+v0t+h0, where h(t) is the height of the projectile t seconds after it’s departure, v0 is the initial velocity in meters per second, and h0 is the initial height in meters, determine how long it will take for the object to reach its maximum height. What is the maximum height?
The object will take 2.5 seconds to reach its maximum height. The maximum height attained by the object will be 42.375 meters.
To find how long it takes for the object to reach its maximum height, we can use the projectile motion formula
h(t) = -4.9t² + v0t + h0.
The maximum height is achieved when the vertical velocity component is zero. This happens midway through the flight.
The time to reach maximum height can be found using the formula
t = v0 / g,
where v0 is the initial velocity and
g is the acceleration due to gravity (9.8 m/s²).
In this case, v0 = 24.5 m/s and g = 9.8 m/s², so the time (t) to reach maximum height is
t = 24.5 m/s / 9.8 m/s² = 2.5 s.
The maximum height (H) can be calculated as the initial height plus the displacement due to the initial velocity upwards before it starts coming down.
Since we know the time to reach the maximum height, we can plug it into the original equation h(t) to find the maximum height:
H = -4.9(2.5)² + 24.5(2.5) + 11
We then find that
H = 42.375 m.
Use spherical coordinates. evaluate (x2 + y2) dv e , where e lies between the spheres x2 + y2 + z2 = 1 and x2 + y2 + z2 = 25.
To solve this problem, it is necessary determine the integrations limits first.
The solution is:
V = 1666,13×π vol units
In order to express the information in spherical coordinates, we have:
x = ρ×cosθ×sinφ
y = ρ×sinθ×sinφ
z = ρ×cosφ
and dV = ρ²×sinφ×dρ×dθ×dφ
0 ≤ φ ≤ π
0 ≤ θ ≤ 2×π
x² + y² + z² = 25 and x² + y² + z² = 1 are two concentric spheres with center at the origin and radius 5 and 1 respectevely .
According to that:
1 ≤ ρ ≤ 5
V = ∫∫∫ ( x² + y² )× dV
V = ∫∫∫ ( x² + y² )×ρ²×sinφ×dρ×dθ×dφ
V = ∫∫∫ ( ρ²×cos²θ×sin²φ + ρ²×sin²θ×sin²φ ) ×ρ²×sinφ×dρ×dθ×dφ
V = ∫∫∫ [ ρ²×sin²φ ( cos²θ + sin²θ ) ×ρ²×sinφ×dρ×dθ×dφ
V = ∫∫∫ [ ρ²×sin²φ×ρ²×sinφ×dρ×dθ×dφ
V = ∫∫∫ [ ρ⁴×sin³φ×dρ×dθ×dφ
V = ∫₁⁵ρ⁴×dρ ×∫dθ ×∫sin³φ×dφ
V = ρ⁵/5 |₁⁵×∫dθ ×∫sin³φ×dφ
ρ⁵/5 |₁⁵ = 5⁵/5 - 1⁵/5 = 3125 / 5 - 1/5 = 3124/5
V = 3124/5× θ |₀²π×∫sin³φ×dφ
θ |₀²π = 2×π - 0
V = 3124/5× (2×π) ×∫sin³φ×dφ
∫sin³φ×dφ [ 0 y π ] = 4/3 (from Simbolab)
V = 3124/5× (2×π) ×4/3
V = 1666,13×π vol units
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At 3 p.m. an oil tanker traveling west in the ocean at 14 kilometers per hour passes the same spot as a luxury liner that arrived at the same spot at 2 p.m. while traveling north at 16 kilometers per hour. if the "spot" is represented by the origin, find the location of the oil tanker and the location of the luxury liner t hours after 2 p.m. then find the distance d between the oil tanker and the luxury liner at that time.
Follow below steps:
The location of the oil tanker and the luxury liner at time t hours after 2 p.m.:
The oil tanker's location: (-14t, 0)
The luxury liner's location: (0, 16t)
The distance d between the oil tanker and the luxury liner at time t:
The distance formula = √((-14t - 0)^2 + (0 - 16t)^2) = √(196t^2 + 256t^2) = √(452t^2) = 2√(113)t
The distance d between the oil tanker and the luxury liner at that time is [tex]\( \sqrt{452} \cdot t \)[/tex] kilometers.
To solve this problem, we'll use the concepts of distance, speed, and coordinate geometry.
Let ( t ) be the number of hours after 2 p.m.
Location of the Oil Tanker:
At ( t ) hours after 2 p.m., the oil tanker has traveled ( 14t ) kilometers west from the origin.
So, its location is (-14t, 0) .
Location of the Luxury Liner:*
At ( t ) hours after 2 p.m., the luxury liner has traveled ( 16t ) kilometers north from the origin.
So, its location is (0, 16t).
Distance between the Oil Tanker and the Luxury Liner:
We'll use the distance formula: [tex]\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \).[/tex]
[tex]\[ d = \sqrt{(-14t - 0)^2 + (0 - 16t)^2} \][/tex]
[tex]\[ d = \sqrt{(-14t)^2 + (-16t)^2} \][/tex]
[tex]\[ d = \sqrt{196t^2 + 256t^2} \][/tex]
[tex]\[ d = \sqrt{452t^2} \][/tex]
[tex]\[ d = \sqrt{452} \cdot t \][/tex]
So, the location of the oil tanker is [tex]\( (-14t, 0) \)[/tex], the location of the luxury liner is [tex]\( (0, 16t) \)[/tex], and the distance between them at ( t ) hours after 2 p.m. is [tex]\( \sqrt{452} \cdot t \)[/tex] kilometers.
y and x have a proportional relationship, and y = 15 when x = 3. What is the value of x when y = 4?
Answer: 0.12
Step-by-step explanation: