The distance between -2 3/5 and -1 on a number line is -1 3/5.
What is the distance?A mixed number is a fraction that is made up of a whole number and a proper fraction. A proper fraction is a fraction in which the numerator is less than the denominator. An example of a mixed number is -2 3/5.
In order to determine the distance, -1 would be subtracted from -2 3/5
\(-2\frac{3}{5} - (-1)\)
\(-2\frac{3}{5} + 1\)
\(-\frac{13}{5} + \frac{5}{5}\)
\(\frac{5 - 13}{5}\)
-8/5 = -1 3/5
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the fact that research has shown that people who join weight loss groups do a better job of losing weight than do people who try to lose weight on their own demonstrates that small groups can
Joining weight loss groups improves weight loss outcomes compared to attempting weight loss alone.
Research has consistently shown that people who join weight loss groups tend to achieve better weight loss results compared to those who try to lose weight on their own. These groups, often led by professionals or experts in the field, provide a supportive and structured environment for individuals to work towards their weight loss goals. The benefits of weight loss groups can be attributed to several factors.
Firstly, weight loss groups offer a sense of community and social support. By sharing experiences, challenges, and successes with others who are on a similar journey, participants feel motivated, encouraged, and accountable. This camaraderie fosters a positive environment where individuals can learn from one another, exchange tips, and offer practical advice.
Secondly, weight loss groups provide education and knowledge about effective weight loss strategies. Professionals leading these groups can offer evidence-based information on nutrition, exercise, behavior change, and other relevant topics. This guidance equips participants with the necessary tools and skills to make sustainable lifestyle changes, ultimately leading to successful weight loss.
Lastly, weight loss groups often incorporate goal setting and tracking mechanisms. By setting specific and achievable goals, participants have a clear focus and direction. Regular progress tracking, whether it's through weigh-ins or other forms of measurement, helps individuals stay accountable and motivated. The group setting provides an additional layer of accountability, as members share their progress and celebrate milestones together.
In conclusion, research consistently demonstrates that people who join weight loss groups tend to achieve better weight loss outcomes compared to those who attempt to lose weight on their own. The social support, education, and goal-oriented approach offered by these groups contribute to their effectiveness. By joining a weight loss group, individuals can benefit from the collective knowledge and experience of the group, enhancing their chances of successful weight loss.
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Enter your answer in the provided box. what is the emf of a cell consisting of a pb2 / pb half-cell and a pt / h / h2 half-cell if [pb2 ] = 0.57 m, [h ] = 0.090 m and ph2 = 1.0 atm ? v
The emf of a cell is mathematically given as
\(E_{cell}\) = 0.0532 v
What is the emf of a cell?Generally, the equation for emf is mathematically given as
\(Pb/Pb^2^+ //\ H / H_2\)
where,
Pb is lead
H is hydrogen
\(Pb^{2+}\) / Pb has a standard reduction potential of -0.126 volts, while
\(H_2\) / \(H_2\) has a standard reduction potential of 0.0 volts.
\(E_{cell }= E^0_{cell} - 0.059/n log 1/\)\([Pb^2^+] x [H^+]^2\)
\(E_{cell}\) = 0.126 - 0.059/2 log 1 / [0.57] x [0.09]^2
\(E_{cell}\) = 0.0532 v
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The result obtained when a decision alternative is chosen and a chance event occurs is known as
a. happenstance
b. consequence
c. alternative probability
d. conditional probability
The result obtained when a decision alternative is chosen and a chance event occurs is known as consequence. The answer is: b.
When a decision alternative is chosen and a chance event occurs, the result is referred to as a consequence. A consequence represents the outcome or outcome state that arises from the combination of a decision and a chance event.
It is the result or effect that occurs based on the chosen alternative and the unpredictable element introduced by the chance event.
Consequences are an essential concept in decision theory and decision analysis, as they help evaluate the potential outcomes and impacts of different choices and events. By considering the consequences associated with each decision alternative, decision-makers can assess the desirability or utility of different outcomes and make informed choices.
Hence, the correct option is: b. consequence.
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suppose that 45% of people own dogs. if you pick two people at random, what is the probability that they both own a dog? give your answer as a decimal (to at least 3 places) or fraction
Answer:
0.2025 or 20.25%
Step-by-step explanation:
The problem says the probability of ONE person having a Dog is 45%
This is 0.45 in decimal form
But what are the chances TWO random people BOTH have Dogs. The chances would decrease!
To find the probability, you need to multiply the probability of one person by the probability of another person. They both have the same probability of having a Dog.
This looks like:
0.45 (person 1) × 0.45 (person 2) = 0.2025
The number of times 0.45 is in the equation above is the same number as the people in the problem!
If a sample of 40 units of output found 500 defects, then the center line for monitoring the average number of defects per unit of output would be.
In this case, with 500 defects and a sample size of 40 units of output, the center line would be 12.5 defects per unit of output.
To determine the center line for monitoring the average number of defects per unit of output, we divide the total number of defects by the sample size. In this scenario, the sample consists of 40 units of output, and there are 500 defects.
Therefore, the center line would be calculated as 500 defects divided by 40 units of output, resulting in an average of 12.5 defects per unit of output. This center line serves as a reference point for monitoring and comparing future defect rates.
If the average number of defects per unit of output exceeds this center line, it may indicate a need for process improvements or corrective actions.
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How do you change feet to meters?
To convert a length in feet to meters, you simply need to multiply the length by 0.3048.
Converting feet to meters is a common task in many fields, including science, engineering, and construction. The conversion is straightforward, but requires knowledge of the conversion factor between the two units.
One foot is equal to 0.3048 meters. For example, if you have a length of 10 feet, you can convert it to meters by multiplying 10 by 0.3048, which gives you a result of 3.048 meters.
To perform the conversion, you can use a calculator or a conversion tool, which are widely available online. Alternatively, you can use a conversion table that shows the equivalent values for common lengths in both feet and meters.
It's important to note that when converting between different units, it's important to pay attention to the units and their symbols, to ensure that the conversion is performed correctly. In the case of feet and meters, the symbols are "ft" and "m", respectively.
In summary, to convert feet to meters, multiply the length in feet by the conversion factor of 0.3048. This will give you the length in meters. With a little practice, the conversion can become second nature and be performed quickly and accurately.
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PLEASE HELP!! Will mark Brainliest!
This unit is about polynomial and rational functions. What is a polynomial? What is a rational function? Are all polynomials rational functions, why or why not?
Answer:
What is a polynomial?
- In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables
What is a rational function?
- In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.
Are all polynomials rational functions?
.A function that cannot be written in the form of a polynomial, so no they are not all functions.
Mr Fadzil used 1 2/5m of cloth to make 2 identical phone cases and a cushion cover. He used 3/5
m more cloth to make the cushion cover than the 2 phone cases. What was the
used
length of cloth used for each phone case?
Answer:
1/5
Step-by-step explanation:
2/5 + 3/5
(2+ 3)/5
2/5 + (2 + 3)/5 = (4 + 3)/5
(4+ 3)/5 = 7/5
4+ 3 = 7
4 = 4
c = 1/5
HELP PLS!! Find the inequality represented by the graph.
Answer:
y ≥ 4x -2
Step-by-step explanation:
Use points (0,-2), (1,2) to solve for the slope
slope= y2-y1/x2-x1
slope= 2- -2/ 1-0= 4/1
Plug in the values into y=mx+b
y= 4x -2
Replace the equal sign with a greater than or equal to sign
y ≥ 4x -2
Find the maeasure of the exterior angle in the figure
Answer:
the answer would be 5b as the exterior angle is subdivided with the co efficient
Step-by-step explanation:
Keisha had $405 in her bank account. Over the summer, she made 4 withdrawals of $45 each a) What is the balance in Keisha's account? * b) Write an integer expression to represent this problem. Solve the problem. *
Answer:
see below
Step-by-step explanation:
The amount she withdrew is 45*4 =180
405 - 4*45=
405 -180 =225
There is 225 in the account
Answer: a) $225
Step-by-step explanation:
405 - 45 (4) = x
405 - 180 = x
225 = x
evaluate log2(512)\\
Answer:
\(log_2(512) = 9\)
Step-by-step explanation:
\(We \: need \: to \: calculate \: log_2(512)\)
\(512 = 2 {}^{9} ⟼ log_{2}(512) = log_{2} (2 {}^{9} ) \)
\( log_{a}b {}^{n} = n \: log_{a}b\)\(⟼ log_{2} {2}^{9} = 9 \: log_{2}2\)
\(since \: log_{a}a = 1⟼ log_{2}(512) = 9\)
Question 1 of 10
What type of pay is modeled below?
O A. Hourly pay with a bonus
• B Commission pay
c. piece rate
d. hourly pay without w bonus
Based on the provided information, the type of pay modeled below is: C. piece-rate Pay
Employers and workers sign a piece rate contract outlining the terms of their relationship. With this agreement in place, workers will be compensated based on their output or the number of hours they put in. Because the worker is paid based on their output, we can also refer to this as piece rate pay.
The use of piece rates is not only acceptable, but legal. However, businesses are still subject to the requirements of state and federal laws regarding record-keeping, overtime pay, and the minimum wage. Rest, recuperation, and other periods of inactivity should be paid for in California, Piece Rate Pay.
Hence the answer of the question is C.
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Please serious answers only I need this urgently.
Answer:
A - 226.80 B - 782.46 C. 1,178, D. 104.08
Step-by-step explanation:
hope this helps
A firm breaks even if the average cost is equal to the price it charges. Suppose the price is $38. If C=11Q+9Q
2
is the firm's cost function, then how many units must the firm sell in order to break even?
The firm must sell 2 units in order to break even.
To determine the break-even point, we need to find the quantity at which the average cost is equal to the price. The average cost is calculated by dividing the total cost (C) by the quantity (Q). In this case, the cost function is given as C = 11Q + 9Q^2.
To find the average cost, we divide the cost function by the quantity: AC = (11Q + 9Q^2) / Q.
Simplifying the expression, we have AC = 11 + 9Q.
Since the average cost is equal to the price, we set AC equal to the given price of $38: 11 + 9Q = 38.
Subtracting 11 from both sides, we have 9Q = 27.
Dividing by 9, we find Q = 3.
Therefore, the firm must sell 3 units in order to break even.
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−7x−6y=2
7x+4y=−6
solve for x and y
Answer:
\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:x=-2,\:y=2}\)
Step-by-step explanation:
\(\begin{bmatrix}-7x-6y=2\\ 7x+4y=-6\end{bmatrix}\)
\(\mathrm{Substitute\:}x=-\frac{2+6y}{7}\)
\(\begin{bmatrix}7\left(-\frac{2+6y}{7}\right)+4y=-6\end{bmatrix}\)
\(\begin{bmatrix}-2-2y=-6\end{bmatrix}\)
\(\mathrm{For\:}x=-\frac{2+6y}{7}\)
\(\mathrm{Substitute\:}y=2\)
\(x=-\frac{2+6\cdot \:2}{7}\\\\x=-2\)
HELP ME PLS!!!!!!! Using limits, for which value of x is the function continuous? Check all that apply. –2 –1 0 3 5
Answer:
1st 3rd and last option
Step-by-step explanation:
just did it on edge:)
The correct answers are:
A.) -2
C.) 0
E.) 5
Edge 2023
6. What are the solutions to
(x + 3)2 = 49
x= -2 and x = -16
x = 2 and x = V-10
x = 4 and x = -10
x = 40 and x = -58
Answer:
The answer is x=4 or x=−10
Solutions:
(x + 3)² = 49
(x+3)(x+3)=49
x²+6x+9=49
x²+6x+9-49=0
(x-4)(x+10)
x-4=0 x+10=0
x=4 x=-10
Haruto has tomato plants in his backyard. This year the plants grew 127 tomatoes. Birds had eaten 19 of the tomatoes. 23 tomatoes had been ruined by bugs. He picked the rest. How many tomatoes did Haruto pick? The answer is tomatoes.
if you multiply amp × ohm, the answers will be in units of
Multiplying ampere (amp) by ohm gives units of volt (V).
Therefore, the answer will be in volts (V). This is because ohm is the unit of electrical resistance, ampere is the unit of electrical current, and volt is the unit of electrical potential difference, which is calculated as the product of current and resistance according to Ohm's law: V = I × R.
Ohm is the unit of electrical resistance, which measures how much a material opposes the flow of electric current. One ohm (1 Ω) of resistance is defined as the amount of resistance that allows one ampere (1 A) of current to flow when a potential difference of one volt (1 V) is applied across it.
Ampere is the unit of electrical current, which measures the rate at which electric charge flows through a material. One ampere (1 A) of current is defined as the flow of one coulomb of electric charge per second.
Volt is the unit of electrical potential difference, which measures the amount of energy required to move a unit of electric charge from one point to another. One volt (1 V) of potential difference is defined as the amount of energy required to move one coulomb of electric charge across a circuit element that has one ohm of resistance.
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17. a group of seven people have tickets to see a play. they are going to sit in a row of seven seats, with an aisle at each end of the row. one of the people needs to sit next to an aisle, because she must leave early. how many different ways can the people sit in the row?
In total, there are 6 * 6! = 720 different ways for the group of 7 people to sit in the row.
Seat Arrangement CalculationThe total number of ways to arrange a group of n people in a row is n!, which is the product of all the integers from 1 to n. However, in this case, we have a constraint that one of the people must sit next to an aisle. To find the number of ways to arrange the group of people given this constraint, we first need to determine the number of ways for the person who needs to sit next to the aisle to be placed.
Since there are 7 seats in the row, and the person must sit next to an aisle, there are 6 different spots where they can sit (either in the first seat, second seat, etc. up to the sixth seat). Once that person is placed, we can use the formula n! to find the number of ways to arrange the remaining people. In this case, there are 6 people remaining, so there are 6! ways to arrange them. To find the total number of ways to arrange the group of 7 people given the constraint, we multiply the number of ways to place the person next to the aisle (6) by the number of ways to arrange the remaining people (6!). So, 6*6! = 720.
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Hello, I was wondering whats the soulution to this equation \(( {x}^{2} - 3x - 10) \div (x + 2)\)
ANSWER
\(x-5\)EXPLANATION
We want to divide the given expression:
\(\frac{x^2-3x-10}{x+2}\)To do this, first, factor the numerator:
\(\begin{gathered} \frac{x^2-5x+2x-10}{x+2} \\ \\ \frac{x(x-5)+2(x-5)}{x+2} \\ \\ \frac{(x+2)(x-5)}{x+2} \end{gathered}\)Now, divide the common bracketed terms in the fraction:
\(x-5\)That is the answer.
Please! Help me find the range of this graph as an inequality :((
Answer: \(\text{y} \ge 2\)
Reason:
The lowest point on the graph occurs when y = 2. This is a closed endpoint so it's included with the graph. So either y = 2 or y > 2, both of which combine to get the answer shown above.
The height of a triangle is 6 units less than twice the base length if the height is 18 units, what is the base length
Answer:
12 units
Step-by-step explanation:
h=2x-6
18=2x-6
24=2x
12=x
5. Find the Fourier coefficients of the periodic ( -5 to 5) function y(t) = -3 when -5
In summary, the Fourier coefficients for the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5 are:
c₀ = -3 (DC component)
cₙ = 0 for n ≠ 0 (other coefficients)
To find the Fourier coefficients of the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5, we can use the formula for Fourier series coefficients:
cn = (1/T) ∫[t₀-T/2, t₀+T/2] y(t) \(e^{(-i2\pi nt/T)}\) dt
where T is the period of the function and n is an integer.
In this case, the function y(t) is constant, y(t) = -3, and the period is T = 10 (since the interval -5 ≤ t ≤ 5 spans 10 units).
To find the Fourier coefficient c₀ (corresponding to the DC component or the average value of the function), we use the formula:
c₀ = (1/T) ∫[-T/2, T/2] y(t) dt
Substituting the given values:
c₀ = (1/10) ∫[-5, 5] (-3) dt
= (-3/10) \([t]_{-5}^{5}\)
= (-3/10) [5 - (-5)]
= (-3/10) [10]
= -3
Therefore, the DC component (c₀) of the Fourier series of y(t) is -3.
For the other coefficients (cₙ where n ≠ 0), we can calculate them using the formula:
cₙ = (1/T) ∫[-T/2, T/2] y(t)\(e^{(-i2\pi nt/T) }\)dt
Since y(t) is constant, the integral becomes:
cₙ = (1/T) ∫[-T/2, T/2] (-3) \(e^{(-i2\pi nt/T)}\) dt
= (-3/T) ∫[-T/2, T/2] \(e^{(-i2\pi nt/T)}\) dt
The integral of e^(-i2πnt/T) over the interval [-T/2, T/2] evaluates to 0 when n ≠ 0. This is because the exponential function oscillates and integrates to zero over a symmetric interval.
all the coefficients cₙ for n ≠ 0 are zero.
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Helpppppppp please helppppp I’ll give Brainliest
Answer: B
Step-by-step explanation:
a radioactive sample contains 3.00 g of pure 11c, which has a half-life of 20.4 min. (a) how many moles of 11c are present initially?
The number of mole of pure 11C (carbon-11) initially present is 0.2727 mole
Description of moleThe mole of a substance is related to it's mass and molar mass according to the following equation
Mole = mass / molar mass
With the above formula, we can obtain the number of mole of pure 11C. Detail below:
How to determine the mole of 11CFrom the question given, the following data were obtained:
Molar mass of 11C = 11 g/molMass of 11C = 3 gMole of 11C =?Mole = mass / molar mass
Mole = 3 / 11
Mole = 0.2727 mole
Therefore, the number of mole of pure 11C initially present is 0.2727 mole
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What is the slope of a line that is perpendicular to the line y = x 4? the slope of the line is .
Answer:-1/4
Step-by-step explanation:
Take the negative of the reciprocal for perpendicular lines. In the case of no slope (y=number) replace y with x
A right triangle and two of its side lengths are shown in the diagram. 11.9 cm 7.9 cm x cm Which measurement is closest to the value of x in centimeters?
6.3
4.0
14.3
19.8
The measurement that is closest to the value of x, in centimeters, is given as follows:
14.3.
How to obtain the value of x?In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.
Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.
The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.
Then the length of x is calculated as follows:
x² = 11.9² + 7.9²
x = square root of (11.9² + 7.9²)
x = 14.28.
Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.
Missing InformationWe suppose that 11.9 cm and 7.9 cm are the measures of the legs.
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for the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the equations of the shear and bending-moment curves. 5.1
Bending moment curve equation below point A will be:
M = 15x - 3x² for 0 ≤ x ≤ b
Determination of shear and bending moment curves.
For the beam and loading shown, we can do the following:
Equation of shear curve (above point A):V = RA - w.x
For x = a,V = RA - w.a
For x = b,V = RA - w.b
Since the loading is symmetric, RA = w(a + b) / 2= (6 * 5) / 2= 15kNV = 15 - 6a for a ≤ x ≤ b
Equation of shear curve (below point A):
V = RA - w.x
For x = 0,V = RA - w.0RA = w(a + b) / 2= (6 * 5) / 2= 15kNV = 15k for 0 ≤ x ≤ a
The shear curve equation becomes;
V = 15k for 0 ≤ x ≤ a
V = 15 - 6a for a ≤ x ≤ b
Equation of bending moment curve (above point A):
M = RAx - ½w.x²For 0 ≤ x ≤ a,
M = 15x - ½(6x²) = 15x - 3x²For a ≤ x ≤ b,
M = 15x - 6a(x - a) - ½(6x²)= 15x - 6ax + 6a² - 3x²
The bending moment curve equation above point A becomes:
M = 15x - 3x² for 0 ≤ x ≤ a
M = 15x - 6ax + 6a² - 3x² for a ≤ x ≤ b
Equation of bending moment curve (below point A):
M = RAx - ½w.x²For 0 ≤ x ≤ b,
M = 15x - ½(6x²) = 15x - 3x²
The bending moment curve equation below point A becomes;
M = 15x - 3x² for 0 ≤ x ≤ b
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