The main difference between quantitative and qualitative measurements lies in the nature of the data they provide.
Quantitative measurements involve numerical values and allow for precise comparisons and calculations, while qualitative measurements involve non-numerical observations and provide descriptive information. Urine test strip measurements can be both quantitative and qualitative, depending on the specific parameter being measured.
Quantitative measurements are concerned with obtaining numerical data that can be measured and compared. They involve the use of instruments or tools to obtain precise values. These measurements provide quantitative information, allowing for statistical analysis and calculations. Examples of quantitative measurements include length, weight, temperature, and concentration of substances.
On the other hand, qualitative measurements involve observations or descriptions that are non-numerical in nature. They provide subjective information based on qualities or attributes. Qualitative measurements can be used to describe characteristics such as color, odor, taste, texture, or visual appearance. These measurements are often subjective and rely on human judgment or perception.
Urine test strip measurements can be both quantitative and qualitative, depending on the specific parameter being measured. For example, a urine test strip may provide quantitative measurements for parameters such as glucose, protein, pH level, or specific gravity. In these cases, the strip produces a numerical value that can be used for comparison or calculation. However, the strip may also provide qualitative measurements for parameters such as the presence of blood cells or bacteria, indicating a positive or negative result without providing numerical values.
In summary, quantitative measurements involve numerical data that can be compared and calculated, while qualitative measurements provide descriptive information without numerical values. Urine test strip measurements can be both quantitative and qualitative, depending on the specific parameter being measured.
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What is the minimum percentage of gasoline stations that had prices between $2.94 and $3.18? Chebyshev's Inequality According to the U.S. Census Bureau, the mean of the commute time to work for a resident of Boston, Massachusetts, is 27.3 minutes. Assume that the standard deviation of the commute time is 8.1 minutes to answer the following: What minimum percentage of commuters in Boston has a commute time within 2 standard deviations of the mean? What minimum percentage of commuters in Boston has a commute time within 1.5 standard deviations of the mean? What are the commute times within 1.5 standard deviations of the mean? What is the minimum percentage of commuters who have commute times between 3 minutes and 51.6 minutes?
The minimum percentage of commuters with commute times between 3 minutes and 51.6 minutes, we can use Chebyshev's Inequality with k = (51.6 - 27.3) / 8.1. The resulting percentage is at least (1 - 1/k^2).
Chebyshev's Inequality states that for any distribution (regardless of its shape), at least (1 - 1/k^2) of the data falls within k standard deviations of the mean, where k is any positive constant greater than 1.
For the first question, the range between $2.94 and $3.18 corresponds to 1 standard deviation from the mean price of gasoline stations. Therefore, using Chebyshev's Inequality, at least (1 - 1/1^2) = 0% of the gasoline stations would fall within this range.
For the second question, within 1.5 standard deviations of the mean, we can calculate the minimum percentage by using k = 1.5 in Chebyshev's Inequality. This gives us at least (1 - 1/1.5^2) = 55.56% of the commuters in Boston having a commute time within 1.5 standard deviations of the mean.
To determine the commute times within 1.5 standard deviations of the mean, we can calculate the range by multiplying the standard deviation (8.1 minutes) by 1.5 and subtracting this value from and adding it to the mean. So, the range would be (27.3 - 1.5 * 8.1) to (27.3 + 1.5 * 8.1), which is approximately 15.15 minutes to 39.45 minutes.
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Ill mark you brainliest And you'll get 20 points!
Answer:
F. 3k - 11 =-34
Step-by-step explanation:
3(-15) -11 = -34
-45 - -11 =-34
- + - = a positive
-45 + 11 = -34
popotamus
had a
wo months old, it
ntage did its mass
Give your answe
A hippopotamus had a mass of 32.7 kg at birth. the hippopotamus's mass increased by approximately 167.1% over the two-month period.
To calculate the percentage increase in the hippopotamus's mass over the two-month period, we can use the following formula:
Percentage increase = ((New mass - Original mass) / Original mass) * 100
Given that the original mass (birth weight) was 32.7 kg and the new mass (after two months) was 87.4 kg, we can substitute these values into the formula:
Percentage increase = ((87.4 - 32.7) / 32.7) * 100
Calculating this expression:
Percentage increase = (54.7 / 32.7) * 100 ≈ 167.1%
Therefore, the hippopotamus's mass increased by approximately 167.1% over the two-month period. Rounding to the nearest 1%, the percentage increase is 167%.
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can anybody help with this? pretty important
Answer:
I'm pretty sure it's b or c but I think c
Problem 3 (10 points) You are analyzing a dataset and have fit a multiple regression with 12 continuous explanatory variables and one intercept. You are given the following:
Sum of square of errors = 618
The 10th diagonal entry of the hat matrix: h10,10 = 0.35
The 10th residual value: e10 = 9.5
Cook’s Distance for 10th observation: D10 = 5.0
Calculate the number of data points this model was fit to.
Answer:
the answer is B
Step-by-step explanation:
are you a make a wish kid
Because i would love for you to bounce that
a stock is currently selling for $76 per share. a call option with an exercise price of $78 sells for $3.80 and expires in three months. if the risk-free rate of interest is 2.5 percent per year, compounded continuously, what is the price of a put option with the same exercise price? (do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
The price is $5.39, rounded to 2 decimal places.
How to determine the price of a put option with the same exercise price?To determine the price of a put option with the same exercise price, we can use the put-call parity formula:
Put Price = Call Price - Stock Price + Present Value of Exercise Price
Stock Price (S) = $76
Call Price (C) = $3.80
Exercise Price (X) = $78
Risk-Free Interest Rate (r) = 2.5% per year (compounded continuously)
Time to Expiration (t) = 3 months = 3/12 = 0.25 years
First, we need to calculate the present value of the exercise price using the continuous compounding formula:
PV = X * \(e^{(-r*t)}\)
PV = $78 * \(e^{(-0.025 * 0.25)}\)
Next, we can use the put-call parity formula:
Put Price = Call Price - Stock Price + PV
Substituting the given values:
Put Price = $3.80 - $76 + PV
Finally, we calculate the final result:
Put Price = $3.80 - $76 + PV
Now, perform the intermediate calculations to find the present value (PV) and calculate the final answer, rounding it to 2 decimal places.
To calculate the present value (PV), we use the formula:
PV = X * \(e^{(-r * t)}\)
where:
X = Exercise Price = $78
r = Risk-Free Interest Rate = 2.5% per year (compounded continuously)
t = Time to Expiration = 0.25 years
First, let's calculate the exponent:
(-r * t) = (-0.025 * 0.25) = -0.00625
Next, we calculate the present value:
PV = $78 *
Using a calculator, we find:
PV ≈ $77.59
Now, we can calculate the price of the put option:
Put Price = Call Price - Stock Price + PV
Put Price = $3.80 - $76 + $77.59
Put Price ≈ $5.39
Therefore, the price of the put option with the same exercise price is approximately $5.39, rounded to 2 decimal places.
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which point is on the graph of the function y = 8x + 4?
answer choices
(-6,4)
(-2,-3)
(0,4)
(6,4)
Answer:
I think its -2,-3 but im not 100% sure
The degree of x^2 + x - 4 is 3 true or false?
Given
\(x^2+x-4\)The degree of a polynomial is the greatest exponent of x. In this case, the greatest exponent of x is 2.
Answer: false
Can someone give a good explanation?
Answer:
$2.3
Step-by-step explanation:
they bought hot dogs for $6.35
and french fries for. $3.90. +
they got two mugs of tea $1.40
the tax fee. $1.05
=$12.7
:.,total amount $15.00-$12.7=$2.3 remaining
I need help please lol
Answer:
The answer is C, (12, -1).
Step-by-step explanation:
x - 2y = 141/2x - y = 7y = 1/2x - 7x + 3y = 91/3x + y = 3y = -1/3x + 3If you make $6 an hour and earn a 9% commission on your sales, how much will you make in a week if
you work 40 hours and sell $1,200 worth of sales?
Therefore , the solution of the given problem of unitary method comes out to be $312 he will make.
A unitary method is precisely what?To perform a task using the unitary approach, one must first determine the quantity of a narrow subset that exists, and then multiply it by two. Simply put, the unit approach is used to isolate a programming value from either a given set. For instance, 40 pens cost 400 rupees ($1.01), which is equal to Rs. It's possible that only one country will have control over the method utilized to accomplish this. Almost all creatures have a distinctive trait. It is equally capable of integration and reciprocity (mathematics, algebra).
Here,
Given :
We get $6 an hour and 6% commission on sales,
So,
In a week he work 40 hours and did $1200 worth of sales
Thus,
He will make:
=> 40*6 + 6/100*1200
=> 240 + 72
=> $312
Therefore , the solution of the given problem of unitary method comes out to be $312 he will make.
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Suppose that 3 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of f(7) − f(3)? ____Your answer is incorrect. ≤ f(7) − f(3) ≤___
Using the Mean Value Theorem to find values for the inequality below, we get : Answer: 12 ≤ f(2) - f(-2) ≤ 20
By the Mean Value Theorem, if a function f(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists at least one value c in the interval (a, b) such that:
\(\[f'(c) = \frac{f(b) - f(a)}{b - a}\]\)
In this case, we are given that 3 ≤ f'(x) ≤ 5 for all values of x.
Let's apply the Mean Value Theorem to the interval [-2, 2]. Since f(x) is continuous on [-2, 2] and differentiable on (-2, 2), there exists a value c in (-2, 2) such that:
\(\[f'(c) = \frac{f(2) - f(-2)}{2 - (-2)} = \frac{f(2) - f(-2)}{4}\]\)
Given that 3 ≤ f'(x) ≤ 5 for all values of x, we can rewrite this inequality using the value of c:
3 ≤ f'(c) ≤ 5
Multiplying both sides of the inequality by 4, we get:
12 ≤ 4f'(c) ≤ 20
Since f'(c) = (f(2) - f(-2))/4, we can substitute this expression back into the inequality:
\(\[12 \leq 4 \cdot \frac{f(2) - f(-2)}{4} \leq 20\]\)
Simplifying, we have:
12 ≤ f(2) - f(-2) ≤ 20
Therefore, the values for the inequality are:
12 ≤ f(2) - f(-2) ≤ 20
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Complete question :
Suppose that 3≤f′(x)≤5 for all values of x. Use the Mean Value Theorem to find values for the inequality below.
Answer:_______ ≤f(2)−f(−2)≤ ________
For the probability distribution of a discrete random variable x
, the sum of the probabilities of all values of x
must be:
a. In the range of zero to 1
.
b. equal to zero.
c. equal to 1
.
d. equal to 0.5
.
The sum of the probabilities of all values of x must be equal to 1, as this is the total probability of all possible outcomes.
The probability distribution of a discrete random variable x is a mathematical function that provides the probabilities of occurrence of different possible outcomes of x. In probability theory, the sum of the probabilities of all values of x must be equal to 1, since this is the total probability of all possible outcomes. This is because the value of 1 represents the certainty of the event occurring, and if the sum of the probabilities of all the possible outcomes is not equal to 1, the probability of any individual outcome cannot be known. The sum of the probabilities of all values of x must be equal to 1 or it cannot be used to calculate the probability of any individual outcome. The probability of any individual outcome is determined by multiplying the probability of each outcome by the sum of all probabilities.
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Find all the second-order partial derivatives of the function f(x,y) = 6x + 2y + 3xy.
The second-order partial derivatives of f(x, y) = 6x + 2y + 3xy are: ∂²f/∂x² = 0, ∂²f/∂y² = 0, ∂²f/∂x∂y = 3, ∂²f/∂y∂x = 3.
To find the second-order partial derivatives of the function f(x, y) = 6x + 2y + 3xy, we need to differentiate the function twice with respect to each variable.
First, we find the first-order partial derivatives:
∂f/∂x = 6 + 3y,
∂f/∂y = 2 + 3x.
Next, we differentiate these partial derivatives with respect to their corresponding variables to obtain the second-order partial derivatives:
∂²f/∂x² = 0 (since the derivative of a constant is zero),
∂²f/∂y² = 0 (also zero as it is a constant),
∂²f/∂x∂y = 3,
∂²f/∂y∂x = 3.
The second-order partial derivatives ∂²f/∂x∂y and ∂²f/∂y∂x are equal because the function is differentiable, and the mixed partial derivatives are symmetric. Therefore, we have ∂²f/∂x∂y = ∂²f/∂y∂x = 3.
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hello please help i’ll give brainliest
Answer:
C.
Step-by-step explanation:
PLEASE BRAINLIESTHow do you find the properties of a 30 60 90 triangle?.
A 30-60-90 triangle has one right angle, with the other two angles measuring 30 and 60 degrees. The shortest side is half as long as the hypotenuse, while the middle side is equal to the shortest side multiplied by the square root of 3. The area can be found using (1/2) x base x height, with the perimeter equal to the sum of all three sides.
A triangle is a polygon with three edges and 3 vertices. The terminology for categorizing triangles is more than two thousand years vintage, having been defined on the first actual page of Euclid's elements.
In Euclidean geometry, any three factors, while non-collinear, decide a completely unique triangle and simultaneously, a unique plane (i.e. a -dimensional Euclidean space). In different words, there's best one plane that consists of that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is the best one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is not real. this text is ready triangles in Euclidean geometry, and in particular, the Euclidean plane, except wherein otherwise stated.
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You can compare two marginal distributions to see if the corresponding two variables are related.T or F
You cannot compare two marginal distributions to see if the corresponding two are related . So, the statement is false .
The answer to the stated question is false . No , you cannot compare two marginal distributions to see if the corresponding two variables are related.
The given question is related to probability and statistics.
Coming to probability distribution , it is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events.
The marginal distribution of a subset of a collection of random variables is the probability distribution of the variables contained in the subset. It gives the probabilities of various values of the variables in the subset without reference to the values of the other variables.
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What is 7/19 + 3/19 + 8/19
Answer:
18/19
Step-by-step explanation:
since the denominator is the same you would just add the top numbers
1/2 times what equals 4?
Answer:
x = 8
Step-by-step explanation:
1/2x = 4
1/2x x 2 = 4 x 2
x = 8
1/2 times 8 equals 4
What is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.
Given
let number be x
1/2 *x = 4
x = 4*2 = 8
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Is (-5,-8) a solution of y > 3x+6
Answer:
Yes
Step-by-step explanation:
We can check whether (-5, -8) is a solution by plugging in the point for x and y and seeing whether the inequality still holds true:
-8 > 3(-5) + 6
-8 > -15 + 6
-8 > -9
Because -8 is greater than -9, (-5, -8) is a solution to the inequality
A plastic rod has been bent into a circle of radius R = 8.20 cm. It has a charge Q1 = +3.00 pC uniformly distributed along one-quarter of its circumference and a charge Q2 = -6Q1 uniformly distributed along the rest of the circumference. Take V = 0 at infinity.
The electric potential at the center of the circle formed by the plastic rod is -1.644V.
We know that the formula to find the electric potential V = KQ/R,
where K is Coulombs constant, Q is the charge, and R is the radius of the circle.
According to the question,
The radius of the circle formed by the plastic rod on bending = 8.20 cm
(Converting cm to m by dividing by 100) = (8.20)/100 = 0.082m
We know that Coulombs constant (K) = 8.99 × 10 ^ 9 N m^2/C^2
It is given that along one quarter of its circumference (Q1) = +3.00 pC
and along the remaining circumference, the charge (Q2) = -6Q1
Therefore, electric potential (V) = K (Q1+KQ2) /R
= (8.99 × 10 ^ 9) (Q1 + (-6Q1)) / 0.082 = (8.99 × 10 ^ 9) (-5Q1)/ 0.082
= -5 (8.99 × 10 ^ 9) (3 X 10 ^ -12) / (0.082) = -1.644512V ≈ -1.644V
The given question is incomplete, the complete question is:
A plastic rod has been bent into a circle of radius R = 8.20 cm. It has a charge Q1 = +3.00 pC uniformly distributed along one-quarter of its circumference and a charge Q2 = -6Q1 uniformly distributed along the rest of the circumference. Take V = 0 at infinity.
What is the electric potential at the center C of the circle?
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A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 18 doors is made, and it is found that they have a mean of 2072 millimeters with a standard deviation of 33. Is there evidence at the 0.1 level that the doors are either too long or too short
The p-value is less than 0.1, so there is evidence at the 0.1 level that the doors are either too long or too short.
To determine if there is evidence that the doors are either too long or too short, we can conduct a hypothesis test.
Let's assume the null hypothesis (H0) is that the mean height of the doors is equal to 2058 millimeters, and the alternative hypothesis (Ha) is that the mean height of the doors is not equal to 2058 millimeters.
We can use a t-test to compare the sample mean of 2072 millimeters to the population mean of 2058 millimeters, given the sample size of 18 and the standard deviation of 33.
Calculating the test statistic using the formula:
t = (sample mean - population mean) / (standard deviation / sqrt(sample size))
Substituting the values:
t = (2072 - 2058) / (33 / sqrt(18))
Calculating the p-value associated with this test statistic, we find that it is less than 0.1.
Since the p-value is less than the significance level of 0.1, we reject the null hypothesis and conclude that there is evidence at the 0.1 level that the doors are either too long or too short.
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You are going on vacation with your family to the beach. You already spent $160
on groceries for the week, and you know that each time you eat out you will spend another $40
.
Your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal from linear equation concept.
For your vacation at the beach, you have already spent $160 on groceries for the week. In addition, you anticipate spending $40 each time you eat out.
To determine your overall budget for the vacation, you need to consider how many times you plan to eat out during the week. Let's say you plan to eat out 'x' number of times.
Since each time you eat out costs $40, the total amount spent on eating out can be represented by the equation:
Total spent on eating out = $40 * x
Adding this to the amount spent on groceries, the total vacation budget can be calculated as:
Total budget = Amount spent on groceries + Total spent on eating out
Total budget = $160 + ($40 * x)
For example, if you plan to eat out 3 times during the week, the calculation would be:
Total budget = $160 + ($40 * 3)
Total budget = $160 + $120
Total budget = $280
In this case, your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal.
The total budget will vary depending on the number of times you plan to eat out. By adjusting the value of 'x', you can calculate the specific total budget for your vacation.
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Parallelogram JKLM is reflected across a horizontal line through its center and then translated down and to the left to produce parallelogram QTSR
K
110°
R
S
9 ft
70°
M 12 ft
L
T
m
What is true about the angles and side lengths of parallelogram QTSR?
Enter the correct answers in the boxes
Answer:
\(\huge\boxed{Q = 110 \textdegree, \ ST = 9 \ \text{ft}}\)
Step-by-step explanation:
When we reflect and transform a figure, the angle lengths nor the side lengths are touched. The side length only changes if we dilate or stretch the figure, and the angle length only changes if we stretch the figure.
Therefore, we know the information is going to be the exact same. We just have to figure out what corresponds to what from JKLM to QTSR.
If we reflect a figure across a horizontal reflection line through its center, the figure will just flip sides. M will be J, L will be K, etc.
When we translate this down, nothing changes except its position. So we can pretend these two shapes are right on top of each other for now.
When we move these right on top of each other, we can see that Angle J overlaps with Angle Q. Since they don't have any weird intersects, we know that angle J will be equal to Angle Q. Since we already know J is 110°, we know Q is also 110°.
When we move it on top, we also see that KL overlaps with ST perfectly. Since we know KL is 9, that must mean ST is also 9.
Hope this helped!
Chad drew a scale drawing of the middle school. The gym, which is 81 feet long in real life, is 9 inches long in the drawing. What scale did Chad use?
1 inch : what
feet
The scale that Chad used in the scale drawing is 1 inch: 9 feet
What is a ratio?A ratio is a quantitative relationship between two different numbers that express the number of times in which a number is divisible within the other number.
In real life, If the gym is 81 feet long.In the drawing, if the gym is 9 inches long.In the ratio of an inch to feet; the scale that Chad used is:
= 1 inch : 9 feet
This is because 9 inches is divisible within the other number (i.e. 81 feet) in 9 times.
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Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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In the figure, a∥b and m∠3 = 34°.
What is the m∠7?
Enter your answer in the box. |__|
Therefore, In the figure, a∥b angle m∠7 = 34° .
What is angle ?An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common terminus, and are referred to as the sides of the angle. Angles of two rays lie in the plane containing the rays. Angles can also result from the intersection of two planes. Dihedral angles are the name given to them.
Here,
Given that a and b are parallel lines,
∠3 and ∠7 are corresponding angles and congruent
m∠3 = 34°
thus ,m∠7 =m∠3 = 34°
so, m∠7 = 34°
Therefore, In the figure, a∥b m∠7 = 34° .
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What is 72mm to inches
72 millimeters is equal to 2.83 inches.
Length is a measure of the distance between two points. There are different units of measurement for length, one of which is millimeters (mm) and another is inches (in). In order to convert from one unit to another, we use a conversion factor.
Here's how you convert 72 millimeters to inches:
1 inch = 25.4 millimeters
So, to convert 72 millimeters to inches, we divide by the conversion factor:
72 mm / 25.4 mm/in = 2.83 in
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there are 55 minutes between the time dinner and and then campfire begins what is the elapsed time from the beginning of dinner to the beginning of the campfire
Thus, the elapsed time from the starting of dinner to the starting of the campfire is 55 minutes.
Explain about the elapsed time?The amount of time which elapses between the beginning and conclusion of an event is known as elapsed time.We can compute elapsed time using a variety of methods, among them the number line, where we divide the time between an event's start and end times into manageable intervals, add those intervals together to get the overall elapsed time.Given data:
Dinner's starting time : 10:00 pm.
After 55 minutes of starting dinner, the campfire begins.
Thus,
Starting time of campfire is:
10:00 pm + 55 min
10:50 pm
Thus, the elapsed time from the starting of dinner to the starting of the campfire is 55 minutes.
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Complete question:
The dinner was started at 10:00 pm. There are 55 minutes between the time dinner and and then campfire begins. What is the elapsed time from the beginning of dinner to the beginning of the campfire.
X cube+6x-16=0
find all solutions by factoring.
answers
(-2,8)
(-8,2)
(2,8)
(-8,-2)
Answer:
(b) {-8, 2}
Step-by-step explanation:
The given equation
x³ +6x -16 = 0
cannot be factored in integers. It has one irrational real root near x=1.759, and two complex roots.
__
Perhaps you want to factor ...
x² +6x -16 = 0
(x +8)(x -2) = 0
This has solutions x = -8 and x = 2 that make the factors be zero.
_____
Additional comment
"Cubed" refers to an exponent of 3.
Answer:
Option b] (2,-8)
Step-by-step explanation:
⇒ x³ + 6x - 16 = 0
♦ the value of one root is irrational and other two are complex roots.
⇒ x² + 6x - 16 = 0
⇒ (x + 8)(x - 2) = 0
⇒ x = 2 , -8