Answer:
(8, 14)
Step-by-step explanation:
Multiply by 2
5. Ms. Lee has 220 students in all her classes. If her classes collected 2860 pounds of food, how many meals did each student provide? Round UP to the nearest number.
Note: 1.2 pounds of food equals one meal
Note:1 kilogram is 2.2 pounds
Answer:
Each students provides 13 pounds of meal
Step-by-step explanation:
Total students in Ms. Lee class = 220
Total pounds of food collected = 2,860
how many meals did each student provide?
Meals provided by each student = Total pounds of food collected / total number of students
= 2,860 / 220
= 13 pounds
Each students provides 13 pounds of meal
Note: 1.2 pounds of food equals one meal
1.2 pounds : 1 meal = 13 pounds : x meals
1.2/1 = 13/x
1.2 * x = 1 * 13
1.2x = 13
x = 13 / 1.2
= 10.83 meals
Approximately 11 meals to the nearest number
Note:1 kilogram is 2.2 pounds
1 kg : 2.2 pounds = x kg : 13 pounds
1/2.2 = x / 13
1 * 13 = 2.2 * x
13 = 2.2x
x = 13/2.2
= 5.91 kilogram
Approximately x = 6 kilograms
a 600 l tank is filled with pure water. a copper sulfate solution with a concentration of 20 g/l flows into the tank at a rate of 2 l/min. the thoroughly mixed solution is drained from the tank at a rate of 2 l/min. a. write a differential equation (initial value problem) for the mass of the copper sulfate. b. solve the differential equation.
a) Differential equation (initial value problem) for the mass of the copper sulfate would be dm/dt = 0
b) m(t)=0
What is Differential equation?
A differential equation in mathematics is an equation that connects the derivatives of one or more unknown functions. Applications typically use functions to describe physical quantities, derivatives to indicate the rates at which those quantities change, and differential equations to create a relationship between the two.
a) Solution is flowing out of the tank. This can be expressed mathematically as:
dm/dt = (flow rate of solution into tank) - (flow rate of solution out of tank)
= (2 l/min) - (2 l/min)
= 0
Therefore, the differential equation for the mass of the copper sulfate in the tank is:
dm/dt = 0
This is a simple differential equation with a constant coefficient of 0, and it can be easily solved by integrating both sides of the equation with respect to time.
b. To solve the differential equation, we can write:
m(t) = integral(0, t, dm/dt)
= integral(0, t, 0)
= 0
Since the coefficient of the derivative is 0, the solution to the differential equation is a constant function with a value of 0. This means that the mass of the copper sulfate in the tank will remain constant over time, regardless of the flow rates of the solution into and out of the tank.
To know more about Differential equation visit,
https://brainly.com/question/1164377
#SPJ4
Loren is making a holiday pack for her customers. She has 5 different designs and 6 different greeting texts. Each holiday pack includes 3 different designs and 2 different texts. How many unique packs can she create?
Answer: 1
Step-by-step explanation: only 1 because since each include only 3 diff designs, and she currently owns 5 diff designs, and you can exactly go any further, because 3 + 3 = 6, and its only 5. If it werent for the designs, then she could make 3 texts, because 2 x 3 = 6. Sorry if I got it wrong, I'm just confused on how this is explained.
150 unique packs can be created.
What is Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.
Given:
Loren has 5 different designs and 6 different greeting texts.
Each holiday pack includes 3 different designs and 2 different texts.
So, the unique ways to create
= \(^5C_3 . ^6C_2\)
= 5! / 3! 2! x 6! / 2! 4!
= 10 x 15
= 150
Hence, 150 unique packs can be created.
Learn more about Combination here:
https://brainly.com/question/28720645
#SPJ2
Which of these classes do the matrices A and B belong to more than one answer is possible for each matrix: invertible; orthogonal; projection; permutation; diagonalizable; Markov. A= [001, 010, 100] B [ 111,111,111]
Matrix A belongs to the permutation and Markov classes.
This is the case for matrix A, as it has one 1 in each row and column and 0s everywhere else. Matrix A is also a Markov matrix, which means that all the entries are non-negative and the sum of each row is equal to 1. This can be seen by summing each row, which yields 1+0+0 = 1, 0+1+0 = 1, and 1+0+0 = 1.
Matrix B belongs to the orthogonal, projection, and diagonalizable classes. Matrix B is orthogonal, which means that it is a square matrix whose columns and rows are orthonormal unit vectors (i.e. the dot product of any two columns or rows is 0). This is the case for matrix B, as the dot product of any two columns or rows yields 0. Matrix B is also a projection matrix, which means that it is a square matrix whose columns are all of unit length (i.e. the dot product of any two columns or rows is 1). This can be seen by taking the dot product of any two columns or rows, which yields 1. Finally, matrix B is diagonalizable, which means that it can be transformed into a diagonal matrix using a similarity transformation. This can be seen by calculating the eigenvalues and eigenvectors of matrix B, which yields the same diagonal matrix.
To learn more about Matrix here:
brainly.com/question/29132693
#SPJ4
Choose one answer is math
the answer is d which is x=.5x=-4
if you brought 20 stamps for 0.45 each and 15 stamps for 0.32 each how much money did you spend on stamps
Answer:
$13.8
Step-by-step explanation:
20(0.45)+15(0.32)
= 13.8
Find the perimeter of the rectangle, in yards.
The perimeter of the rectangle in yards is; 46 1/3 yards
Perimeter of a RectangleThe perimeter of a rectangle is the sum of the lengths of all its sides as follows;
Width = 10 1/3Length = 12 5/6Perimeter of a rectangle = 2(width + length
P = 2(10 1/3 + 12 5/6)
P = 2(31/3 + 77/6)
P = 2(139/6)
P = 46 1/3 yards.
Therefore, the perimeter of the rectangle in yards is 46 1/3 yards
Read more on perimeter of a rectangle;
https://brainly.com/question/19819849
Answer:
The perimeter of the rectangle in yards is; 46 1/3 yards
Perimeter of a Rectangle
The perimeter of a rectangle is the sum of the lengths of all its sides as follows;
Width = 10 1/3
Length = 12 5/6
Perimeter of a rectangle = 2(width + length
P = 2(10 1/3 + 12 5/6)
P = 2(31/3 + 77/6)
P = 2(139/6)
P = 46 1/3 yards.
Therefore, the perimeter of the rectangle in yards is 46 1/3 yards
Read more on perimeter of a rectangle;
brainly.com/question/19819849
Step-by-step explanation:
Which of the following examples would constitute a discrete random variable?
I. Total number of points scored in a football game
II. Height of the ocean's tide at a given location
III. Number of near collisions of aircraft in a year
The examples that would constitute a discrete random variable are;
I. Total number of points scored in a football game
III. Number of near collisions of aircraft in a year
What is discrete random variable?A discrete random variable has only a countable number of different values that it can assume. Usually, but not always, discrete random variables are counts. A random variable is discrete if it can only take a finite number of different values. A variable whose value is determined by counting is referred to as a discrete variable.
A continuous variable is one whose value may be determined through measurement. A random variable is a variable whose value is the resultant number of an unpredictable event.
Read more on discrete random variable here
https://brainly.com/question/17217746
#SPJ4
Find an equation of the sphere that passes through the point (4 3 -1) and has center (3 8 1)
The equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is: (x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.
To find the equation of the sphere passing through the point (4, 3, -1) with a center at (3, 8, 1), we can use the general equation of a sphere:
(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2
where (h, k, l) represents the center of the sphere and r represents the radius.
First, we need to find the radius. The distance between the center and the given point can be calculated using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2]
Substituting the coordinates of the center (3, 8, 1) and the given point (4, 3, -1), we have:
√[(4 - 3)^2 + (3 - 8)^2 + (-1 - 1)^2]
Simplifying, we get:
√[1 + 25 + 4] = √30
Therefore, the radius of the sphere is √30.
Now we can substitute the center (3, 8, 1) and the radius √30 into the general equation:
(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30
So, the equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is:
(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.
This equation represents all the points on the sphere's surface.
Know more about sphere here,
https://brainly.com/question/22849345
#SPJ11
Which of the following is not a correct name for the line above? A. ij B. Kn C. kj D. ki
Line t intersects line u , as shown below.
What is the value of x
Answer:
54
Step-by-step explanation:
Find the missing side lengths. Leave your answers in simplest radical form.
Х
у
60°
30
The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, what is the linear speed of the car in miles per hour? Round your answer to the nearest tenth.
Given: Radius of the wheel = 30 inches, Revolutions per minute = 401 rpmThe linear speed of the car in miles per hour can be calculated as follows:
Step 1: Convert the radius from inches to miles by multiplying it by 1/63360 (1 mile = 63360 inches).30 inches × 1/63360 miles/inch = 0.0004734848 milesStep 2: Calculate the distance traveled in one minute by the wheel using the circumference formula.Circumference = 2πr = 2 × π × 30 inches = 188.496 inchesDistance traveled in one minute = 188.496 inches/rev × 401 rev/min = 75507.696 inches/minStep 3: Convert the distance traveled in one minute from inches to miles by multiplying by 1/63360.75507.696 inches/min × 1/63360 miles/inch = 1.18786732 miles/minStep
4: Convert the distance traveled in one minute to miles per hour by multiplying by 60 (there are 60 minutes in one hour).1.18786732 miles/min × 60 min/hour = 71.2720392 miles/hour Therefore, the linear speed of the car is 71.3 miles per hour (rounded to the nearest tenth).Answer: 71.3
To know more about The radius of the wheel
Visit https://brainly.com/question/33382741
#SPJ11
The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, The linear speed of the car is approximately 19.2 miles per hour.
To find the linear speed of the car in miles per hour, we need to calculate the distance traveled in one minute and then convert it to miles per hour. Here's how we can do it step by step:
Calculate the circumference of the wheel:
The circumference of a circle is given by the formula
C = 2πr
where r is the radius of the wheel.
In this case, the radius is 30 inches, so the circumference is
C = 2π(30)
= 60π inches.
Calculate the distance traveled in one revolution:
Since the circumference represents the distance traveled in one revolution, the distance traveled in inches per revolution is 60π inches.
Calculate the distance traveled in one minute:
Multiply the distance traveled in one revolution by the number of revolutions per minute.
In this case, it is 60π inches/rev * 401 rev/min = 24060π inches/min.
Convert the distance to miles per hour:
There are 12 inches in a foot, 5280 feet in a mile, and 60 minutes in an hour.
Divide the distance traveled in inches per minute by (12 * 5280) to convert it to miles per hour.
The final calculation is (24060π inches/min) / (12 * 5280) = (401π/66) miles/hour.
Approximating π to 3.14, the linear speed of the car is approximately (401 * 3.14 / 66) miles per hour, which is approximately 19.2 miles per hour.
Learn more About linear speed from the given link
https://brainly.com/question/29345009
#SPJ11
If we are told ab=0, then what can we infer? by the zero product property we know = 0 = 0
If we are told that ab=0, then we can infer that either a or b (or both) must be equal to 0.
This is because when the product of two numbers is 0, at least one of the numbers must be 0 according to the zero product property.
One of the most crucial concepts for pupils to understand in maths and science is the zero product property.
The greatest educators, mathematicians, and recognized scientists in the fields of physics and chemistry have worked with Vedantu to provide their insights on the subject.
Their suggestions helped us develop materials for your understanding that would make it simple for you to put these ideas into practice.
Know more about zero product property here:
https://brainly.com/question/1626209
#SPJ11
Three ruler and two pencils cost £3.10
Two rulers and five pencils cost £3.90
Work out the cost of a ruler and pencil
Answer:
To find the cost of a ruler and the cost of a pencil, we can set up a system of equations using the given information. Let R be the cost of a ruler and P be the cost of a pencil.We know that 3R + 2P = 3.10 and 2R + 5P = 3.90Subtracting the first equation from the second, we get:5P - 3P = 3.90 - 3.10
2P = 0.80Dividing both sides by 2, we get:P = 0.40Substituting this value back into one of the original equations, we get:3R + 2(0.40) = 3.10
3R = 2.70
R = 0.90Therefore, the cost of a ruler is £0.90 and the cost of a pencil is £0.40.
Step-by-step explanation:
8. The population of New Oxford, PA has been increasing by a rate of 4% each year. If the population is 5,542
in 2016, then what will the population be in 2022?
the population of New Oxford, PA is expected to be approximately 7,010 in 2022.To solve the problem, we need to use the formula for exponential growth
what is approximately ?
"Approximately" means close to, or almost but not exactly. When we use the word "approximately" in a mathematical context, it usually means that we are giving an estimate or an approximation of a value that is not known exactly
In the given question,
To solve the problem, we need to use the formula for exponential growth:
P = P0 * (1 + r)ᵃ
where P is the final population, P0 is the initial population, r is the growth rate as a decimal, and t is the time in years.
In this case, we have P0 = 5,542, r = 0.04 (since the population is increasing by 4% each year), and t = 6 (since we want to find the population in 2022, which is 6 years after 2016). Plugging in the values, we get:
P = 5,542 * (1 + 0.04)⁶
P = 5,542 * 1.2653
P = 7,010.3
Therefore, the population of New Oxford, PA is expected to be approximately 7,010 in 2022.
To know more about exponential growth, visit:
https://brainly.com/question/12490064
#SPJ1
What is X of 75 degrees 13 rounded to the nearest tenth
square the term in the parentheses? Please help
Answer:
There is no parenthesis here
Step-by-step explanation:
add the question or equation or problem next time
a parabola has one x-intercept at (– 4, 0). if the vertex is at (2, 5), find the other x-intercept.
The equation of the parabola is y -5 = (5/6) (x - 2)^2
How do you define a parabola?a curve produced by the intersection of a cone's surface with a plane perpendicular to a straight line; a curve produced by a moving point whose distance from a fixed point is equal to its distance from a fixed line.
What is the parabola on a graph?A quadratic function's U-shaped curve is shown on a parabola graph. A right circular cone and a plane surface intersect to form one of the conic sections known as a parabola in mathematics. The plane is symmetrical. U-shaped bend
y - k = a (x - h)2
where the vertex is (h,k). Since the vertex is known to be at (7,-3), we know that h = 7 and k = -3. Consequently, the equation is
y -5 = a (x - 2)2
We utilize the fact that the parabola passes through point to determine a for (4,0). With x =- 4 and y = 0, we obtain
0 - 5 = a (-4 - 2)
-5 = a (-6)2
-5 = -6a
a = 5/6
Consequently, the parabola's equation is
y -5 = (5/6) (x - 2)^2
To find more about parabola click the following link:-
https://brainly.com/question/4061870
#SPJ4
PLZ HELP PLZ PLZ ILL MARK AS BRAINLIESTT!!!
Answer:
No
Step-by-step explanation:
If you do the math of 11 x 1.89 sense he wants to buy 11 pairs of socks that are 1.89 each you would get 20.79 being 79 cents over the amount he has.
(If discount applied then yes he can afford)
for an f-curve with df = (20, 5), find f0.025
The value of f(0.025) is approximately ±2.086 for an f-curve with df = (20, 5).
The t-distribution is a way of describing a set of observations where most observations fall close to the mean, and the rest of the observations make up the tails on either side. It is a type of normal distribution used for smaller sample sizes, where the variance in the data is unknown.
To find f(0.025) for an f-curve with df = (20, 5), we need to use a t-distribution table.
First, we need to determine the critical value for a two-tailed test with a significance level of 0.05 and 20 degrees of freedom (df).
Looking at the t-distribution table, we find that the critical value is approximately ±2.086.
Next, we can use the formula for the t-distribution to calculate f(0.025):
f(0.025) = t(0.025, 20) = ±2.086
Learn more about t-distribution:
https://brainly.com/question/17469144
#SPJ11
Thurman put $90 into a CD that pays 4.4% interest. According to the rule of
72, approximately how long will it take for his money to double?
Answer:
B-16.4 years
Step-by-step explanation:
Solve (u+2)^2+6=69 , where u is a real number.
Answer:
5.94 and -9.94
Explanation:
Use complete the square to answer the question and then type the last line into a calculator to get 5.94 and -9.94
The sum of two numbers is -5. The difference of the two number is -17. What is the product of the two numbers?
Diane will spend more than $31 on gifts. So far, she has spent $18. What are the possible additional amounts she will spend?
Use c for the additional amount (in dollars) Diane will spend.
Write your answer as an inequality solved for c.
Answer:
13
Step-by-step explanation:
31-18=13
Mr. Smith's class took a test! The scores of one group are listed below.
70, 60, 80, 85, 90
What is the mean absolute deviation of the data set?
Answer:
B
Step-by-step explanation:
Answer:
77
Step-by-step explanation:
add them all together and then divide by 5
Simplify with an explanation 1/x^-1
If you need to save $1,000 for a new laptop and you'll need it in six months,
what would your weekly savings goal need to be?
The amount of money I have to save weekly in order to achieve my goal is $41.67.
The amount I am supposed to save every week can be determined by dividing my savings goal by the number of weeks in six months.
A month is made up of four weeks.
The number of weeks in a 6 months : 6 x 4 = 24 weeks.
This means that $1000 would be divided by 24
Weekly savings = savings goal / number of weeks in 6 months
$1000 / 24
= $41.67
A similar question was answered here: https://brainly.com/question/19129304?referrer=searchResults
A submarine started the day at 1200 feet below sea level. The submarine rose 60 feet per hour during a 3-hour period.
Which expression represents the new position of the submarine in relation to sea level?
The new position of the submarine in relation to sea level is 1020 feet below sea level.
To find the new position of the submarine in relation to sea level, we need to add the distance it rose to its initial depth below sea level.
The submarine rose 60 feet per hour for a 3-hour period, so the total distance it rose is 60 feet/hour * 3 hours = 180 feet.
The initial depth below sea level is 1200 feet, so the new position of the submarine can be represented by the expression:
1200 feet - 180 feet = 1020 feet below sea level.
Therefore, the new position of the submarine in relation to sea level is 1020 feet below sea level.
for similar questions on submarine
https://brainly.com/question/30663610
#SPJ8
Simplify
X² - 4x+4 1-x²
_______×_______
3x+3 4-2x
Answer:
Do you take screen shoot otherwise we cannot understand your question
Step-by-step explanation: