Answer: 1 ounce of dough = 6 ounces of cheese
Step-by-step explanation:
6:36
divide both by 6
1:6
20 chairs at four tables equals how many chairs per table
Answer:
5 chairs per table.
Step-by-step explanation:
In the diagram below of triangle OPQ, R is the midpoint of OQ and S is
the midpoint of PQ. If RS = 18 – 4x, and OP = -9 + 7x, what is the
measure of OP?
R
S
O
Answer:
Measurement of OP = 12
Step-by-step explanation:
Given:
R is mid point of OQ
S is mid point of PQ
RS = 18 – 4x
OP = -9 + 7x
Find:
Measurement of OP
Computation:
R is mid point of OQ and S is mid point of PQ;
By using mid point theorem
[1/2][OP] = RS
So,
[1/2][-9 + 7x] = [18 - 4x]
[-9 + 7x] = 2[18 - 4x]
-9 + 7x = 36 - 8x
7x + 8x = 36 + 9
15x = 45
x = 45 / 15
x = 3
So,
OP = -9 + 7x
OP = -9 + 7(3)
Measurement of OP = 12
Homework: Section 11.1 Question 7. Complete the square to find the x-intercepts of the function given by the equation listed. f(x)=x² +34x+104 What are the x-intercepts? **** (Simplify your answer. T
Answer:
x² + 34x + 104 = 0
x² + 34x = -104
x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²
x² + 34x + 17² = -104 + 17²
x² + 34x + 289 = 185
(x + 17)² = 185
x + 17 = +√185
x = -17 + √185
Plot the graph of the given equation: y=3x+1
Answer: used plot graph
Step-by-step explanation: sourced it with plot
The way to plot the graph is to find both x-intercept and y-intercept. (Unless if it's a polynomial function which you need to find vertexes. But this one is linear so no vertex.)
(1) - Find x-intercept, substitute y = 0
\(y=3x+1\\0=3x+1\\-1=3x\\3x=-1\\x=-\frac{1}{3}\)
Therefore, the graph intercepts x-axis at (-1/3, 0)
(2) - Find y-intercept, substitute x = 0
\(y=3x+1\\y=0+1\\y=1\)
Therefore, the graph intercepts y-axis at (0,1)
The graph's picture is below
3 friends share a cake in the ratio of 5:7:4. the cake costs Rs.96 how much does each share cost?
Answer:
Cost of each share is \(6Rs\)
Step-by-step explanation:
Let the cost be \(5x,7x,4x\)
We have
\(5x+7x+4x=96\\\\16x=96\\\\x=6\)
Cost of each share is \(6Rs\)
A mason can lay the bricks in a sidewalk in 12 hours. The mason's apprentice requires 14 hours to do the same job. After working together for 2 hours, the mason leaves for another job and the apprentice continues working. How long will it take the apprentice to complete the job? (Round your answer to two decimal places.).
it will take the apprentice 9.67 hours to complete the job after the mason leaves.
What is a fraction?
A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).
Working together, they can complete 1/12 + 1/14 of the job in 1 hour:
1/12 + 1/14 = 13/84
This means that in 1 hour of working together, they can complete 13/84 of the job.
After 2 hours of working together, they will have completed:
2 x (13/84) = 13/42
This leaves (1 - 13/42) = 29/42 of the job remaining to be completed by the apprentice alone.
The apprentice can complete 1/14 of the job in 1 hour, so it will take him:
(29/42) / (1/14) = 29/3 = 9.67 hours (rounded to two decimal places)
Therefore, it will take the apprentice approximately 9.67 hours to complete the job after the mason leaves.
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The mason completes 1/12 of the job per hour, while the apprentice completes 1/14 per hour. When they work together for 2 hours, they complete 2*(1/12 + 1/14) = 1/3 of the job. Since 2/3 of the job remains, the apprentice will take (2/3)/(1/14) = 9.33 hours to complete the job.
The time taken by the Mason to lay the bricks in a sidewalk = 12 hours
The time taken by the apprentice to lay the bricks in a sidewalk = 14 hours
When the mason and apprentice work together, the work will be done quickly. Their efficiency is additive. The formula for the total work is given by= 1/T = 1/T1 + 1/T2
where T is the total time taken by them.
T1 is the time taken by the Mason to complete the work.
T2 is the time taken by the apprentice to complete the work.
Using the formula of efficiency, the time taken by them to complete the work together for 2 hours = 1/12 + 1/14 = 13/168
The work done by them together in 2 hours = 2/[(13/168)] = 32/13
Work left for the apprentice = 1 - 32/13 = 13/13 - 32/13 = -19/13
As the work left is negative, the apprentice cannot complete the remaining work. Therefore, the apprentice cannot complete the job. The answer is not possible. As the answer is not possible, there is no need to round off the answer to two decimal places.
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find an equation of the tangent line to the curve at the given point. y = ln(x2 − 2x + 1), (2, 0)
The equation of the tangent line to the curve y = ln(x^2 - 2x + 1) at the point (2, 0) is y = 2x - 4.
First, let's find the derivative of the function
y = ln(x^2 - 2x + 1).
Using the chain rule, the derivative is given by:
dy/dx = (1 / (x^2 - 2x + 1)) * (2x - 2) = (2x - 2) / (x^2 - 2x + 1)
Now, we can find the slope of the tangent line at x = 2 by substituting the x-coordinate of the given point into the derivative:
m = (2(2) - 2) / ((2)^2 - 2(2) + 1) = 2 / 1 = 2
So, the slope of the tangent line at the point (2, 0) is 2.
Next, we can use the point-slope form of the equation of a line to find the equation of the tangent line.
Given the point (2, 0) and the slope m = 2, the equation of the tangent line is:
y - 0 = 2(x - 2)
Simplifying this equation gives us the equation of the tangent line:
y = 2x - 4
Therefore, the equation of the tangent line to the curve y = ln(x^2 - 2x + 1) at the point (2, 0) is y = 2x - 4.
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The Mae takes the _________ values of the forecast errors to ensure they don't cancel each other out.
The Mae takes the absolute values of the forecast errors to ensure they don't cancel each other out.
By considering only the magnitude of the errors, the MAE (Mean Absolute Error) provides a measure of the average deviation between forecasts and actual values.
To ensure that forecast errors don't cancel each other out, the Mean Absolute Error (MAE) calculation involves taking the absolute values of the errors. The MAE is a commonly used metric to measure the accuracy of a forecasting model.
Forecast errors represent the differences between predicted values and actual values. These errors can be positive or negative, depending on whether the forecast overestimates or underestimates the actual value. By taking the absolute values, the direction of the error is disregarded, and only the magnitude of the deviation is considered.
By summing up the absolute values of all the forecast errors and dividing by the number of observations, the MAE provides an average measure of how far the forecasts deviate from the actual values. It allows for the evaluation of the average absolute magnitude of the errors without considering their direction.
In summary, the Mean Absolute Error (MAE) takes the absolute values of the forecast errors to ensure they don't cancel each other out. This approach allows for a measurement of the average deviation between forecasts and actual values by considering only the magnitude of the errors.
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HURRY PLEASE I ONLY HAVE A MINUTE LEFT IM BEING TIMED!!!
A restaurant earned a profit of $175,000 in its first year of operation. After taxes were paid, $122,499 was left. How much money did the restaurant pay in taxes?
a.
$297,499
c.
$52,501
b.
$52,511
d.
$122,499
Answer:
$52,501
Step-by-step explanation:
You need to subtract $122,499.
What is the solution of the following quadratic function?
Mrs. Johnson earned $31,500.00 in salary this year. Her salary will increase by 10% next year. Mrs. Johnson is paid on a monthly basis. By how much will her monthly salary increase when she receives her raise?
Answer:
34650 dollars by next year
Step-by-step explanation:
Answer:
Step-by-step explanation31500x.10. 3150. 31500+3150. 34650. 34650/12 2887.50. 31500/12. : 2625. Difference per month 262.50
ILL Give one hundred points and Branly only if you do it right though
Answer:
1) -2
2) -2
3) -2
4) -3
5) -4
6) -15
7) -13
8) 3
1b) -9
2b) -2
3b) 7
4b) 17
5b) -4
6b) -9
7b) -16
8b) 0
1c) -5
2c) -3
3c) 0
4c) -2
5c) -8
6c) -11
7c) -3
8c) 15
Jeez, I hope this helps xD
Q3: Write the equation in slope-intercept form of the line that is parallel to the
graph of each equation and passes through the given point.
1. y = 3x + 6; (4, 7)
3. y = 1/2 x + 5; (4,-5)
The equations of the lines are y = 3x - 5 and y = (1/2)x - 7
What is an equation?An equation is an expression that shows how numbers and variables are related to each other.
A linear function is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
Two lines are parallel if they have the same slope
1) y = 3x + 6; (4, 7)
The parallel line would have a slope of 3 and pass through (4, 7), hence:
y - 7 = 3(x - 4)
y = 3x - 5
2) y = (1/2)x + 5; (4, -5)
The parallel line would have a slope of 1/2 and pass through (4, -5), hence:
y - (-5) = (1/2)(x - 4)
y = (1/2)x - 7
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Luis and Raul are playing Odds or Evens. Both friends flip a coin. If both coins land on heads or if both coins land on tails, then Luis wins both coins. If one coin lands on heads and the other on tails, Raul wins both coins. Is this game fair
The game of Odds or Evens described between Luis and Raul is not fair. One player, Luis, has a higher probability of winning both coins compared to the other player, Raul.
To determine if a game is fair, we need to analyze the probabilities of each outcome. In this game, there are four possible outcomes: both coins land on heads, both coins land on tails, Luis wins; one coin lands on heads and the other on tails, Raul wins.
Since each coin flip is independent, the probability of both coins landing on heads is 1/2 * 1/2 = 1/4, and the probability of both coins landing on tails is also 1/4. This means that the combined probability of Luis winning is 1/4 + 1/4 = 1/2.On the other hand, the probability of one coin landing on heads and the other on tails is 1/2 * 1/2 = 1/4. Therefore, the probability of Raul winning is 1/4.
As we can see, Luis has a higher probability of winning both coins (1/2) compared to Raul's probability of winning (1/4). This indicates that the game is not fair, as one player has a higher chance of winning compared to the other player.
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A product has a selling price of $10 per unit, variable expenses of $6 per unit and total fixed costs of $35,000. If 10,000 units are sold, net operating income will be $(1). (Enter your answer as a whole number.)
The net operating income will be $ 5000.
Net Operating Income:The profitability of real estate assets that produce income is evaluated using a formula known as net operating income (NOI). NOI is the total revenue from the asset less all running costs that are deemed to be absolutely required.
Here we have
A product has a selling price of $10 per unit, variable expenses of $6 per unit, and total fixed costs of $35,000.
In total 10,000 units are sold
The net operating income will be computed by Subtracting all expenditures from all money collected on the product.
Net operating income = ($10 - $6) × 10000 - $ 35000
= ($10 - $6) × 10000 - $ 35000
= $ 40000 - $ 35000
= $ 5000
Therefore,
The net operating income will be $ 5000.
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Which would cause a shift in the supply curve?
The supply curve shifts as a result of every factor but a change in market price. The movement along the supply curve and the change in price are correlated.
What is meant by supply curve?The supply curve can change depending on a number of variables, such as shifts in production costs (such as raw material and labor prices), advancements in technology, the level of competition and the number of sellers/producers, as well as the regulatory and tax environment.
Although a shift in the quantity supplied or along the supply curve for a given commodity or service is frequently brought about by a change in price, the supply curve itself does not alter as a result.
Input prices, weather conditions, technological advancements, as well as governmental taxes, regulations, and subsidies, can all modify the supply curve for goods and services, resulting in a different quantity being delivered for a given price.
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Mr Anderson's doctor has ordered him to go on a diet. He must reduce his caloric intake 15%. He currently eats 2800 calories per day. What should Mr.Anderson multiply 2800 by to find his new caloric intake?
The mathematics faculty at a college consists of 7professors, 9 associate professors, 9 assistant professors, and 9 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.
=============================================================
Explanation:
There are 7 professors and 9 instructors (first and last items mentioned).
So there are 7+9 = 16 people who are either a professor or an instructor, but not both. I'm assuming the job titles do not overlap, ie no one person has more than one title. The events "professor" and "instructor" are mutually exclusive. I'm leaving out the associate professors and assisant professors.
In total, there are 7+9+9+9 = 34 faculty members.
--------------
We found there are 16 faculty members who are either a professor or an instructor, out of 34 total members.
This must mean the probability we want is 16/34 = 8/17
Side note: 8/17 = 0.4706 = 47.06% approximately
I’ll give brainliest to the person who shows working out!
Answer:
Step-by-step explanation:
7=c/3-1
add 1 to both sides
8=c/3
to get rid of the 3, multiply both sides 3
24=c
Calculate the average travel time for each distance, and then use the results to calculate. A 6-column table with 3 rows in the second, third, and fifth columns and 1 row in the other columns. The first column labeled Number of Washers has entry 1 washer mass = 4. 9 grams. The second column labeled Trial has entries trial number 1, trial number 2, trial number 3. The third and fourth columns labeled Time to travel 0. 25 meters t subscript 1 (seconds) have entries in the third column 2. 24, 2. 21, 2. 23 and average in the fourth column. The fifth and sixth columns labeled time to travel 0. 5 meters t subscript 2 (seconds) have entries in the fifth column 3. 16, 3. 08, 03. 15 and in the sixth column average. The average time that it takes for the car to travel the first 0. 25m is s. The average time to travel just between 0. 25 m and 0. 50 m is s. Given the time taken to travel the second 0. 25 m section, the velocity would be m/s.
The average travel time is simply the mean travel time between the given points
The average time that it takes for the car to travel the first 0.25m is 2.23s. The average time to travel just between 0.25m and 0.50m is 0.9s. Given the time taken to travel the second 0.25 m section, the velocity would be 0.28m/s.(a) The average time to travel the first 0.25m
The time travel in the first 0.25m are: 2.24s, 2.21s and 2.23s.
So, the average time to travel is:
\(Time = \frac{2.24s + 2.21s + 2.23s}{3}\)
\(Time = \frac{6.68s}{3}\)
\(Time = 2.23s\)
(b) The average time to travel just between 0.25m and 0.50m
The time travel in the 0.50m are: 3.16s, 3.08s and 3.15s.
So, the average time to travel this distance is:
\(Time = \frac{3.16s + 3.08s + 3.15s}{3}\)
\(Time = \frac{9.39s}{3}\)
\(Time = 3.13s\)
The average time to travel between both distance is the difference between the average time of each distance.
So, we have:
\(Average = 3.13s - 2.23s\)
\(Average = 0.9s\)
(c) The velocity in the second 0.25m section
The distance and time are:
\(Distance = 0.25m\)
\(Time = 0.9s\)
So, the velocity is:
\(Velocity = \frac{Distance}{Time}\)
This gives
\(Velocity = \frac{0.25m}{0.9s}\)
\(Velocity = 0.28m/s\)
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Please Help!! Only Anwser If You Know It!!!
Answer:
It will be compressed vertically
Step-by-step explanation:
y = Cf(x) 0 < C < 1 compresses it in the y-direction
Since we are multiplying by 1/4 it will compress it by 1/4 in the y direction
Answer:
When you multiply the whole function by a constant, which can be identified as "C", you can have the following situations:
- If the function is stretched.
- - If the function is compressed.
You have that 0<1/4<1
Therefore, you can conclude that be compressed vertically.
Step-by-step explanation:
The given function is f (x) = x²
The new function is f 1 (x) = 1/4 x².
The general function of the form is f(x) = a · x²
i) If |a| < 1 the graph is compressed vertically by a factor of a.
ii) If |a| > 1 the graph is stretched vertically by a factor of a.
Here: a = 1/4 < 1
7. Angelica is running laps on the school's 1/4 mile track. If she completes 2 miles after
school one day, how many laps does she run?
Equation:
Solution:
Answer:8
Step-by-step explanation:
2 divided by 1/4 is 8.
What’s the approximate value?
Answer:
D-24.2
Step-by-step explanation:
I'm not sure though
work out the answer of the given fractions 3/12+1/6=
How do i solve 7 + x /3 = 2x - 5
Step-by-step explanation:
7 + x/3 =2x - 5
7 + 5=2x - x/3
12 = 5x/3
cross multiply
36=5x
x=36/5
x=7.2
ILL MARK U BRAINLIEST!!!
Answer:
Sam Houston
Step-by-step explanation:
Answer:
Answer option C: Sam Houston
Help me please. please!
4/9 = A
2/3 to the power of 2 is 4/9
what is the constant proportionally of y=2.5x
Answer:
The constant of proportionality is 2.5
Step-by-step explanation:
A direct proportion is of the form
y = kx where k is the constant of proportionality
y = 2.5x
The constant of proportionality is 2.5
Answer:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form or
where
k is the constant of proportionality
In this problem we have
so
the constant of proportionality k is equal to
therefore
the answer is
Step-by-step explanation:The constant of proportionality in the equation is
Further explanation:
The relation is defined as the relationship between the input values and output values.
The x coordinates are the domain of the function and the y coordinates are the range of the function.
Given:
The equation is
Explanation:
The proportionality equation can be expressed as follows,
The value of changes as changes. If the value of increases then the value of y is also increasing.
The equation can be expressed as follows,
The inversely proportional relationship can be expressed as,
Here, is the proportionality constant.
The given equation is
The y is the independent variable and is the dependent variable.
The proportionality constant is 2.5.
The constant of proportionality in the equation is
In the Kentucky Derby, a horse was galloping 2/3 of a mile in 1/6 of a minute. The announcer said that the horse could gallop at this same rate 8 miles in 3 minutes. Is the announcer correct?
Answer:
The announcer is not correct
2/3 x 6 is 4, which is the miles, so 4 miles=1 minute so in 3 minutes, the horses will go 12 miles, so the announcer is not correct
Determine whether the probabilities below are computed using the classical method, empirical method, or subjective method.
The probability of having six girls in an six-child family is 0.015625.
A.Empirical method
B.Classical method
C.Subjective method
D.It is impossible to determine which method is used.
The given probability of having six girls in a six-child family is 0.015625. To determine the method used to compute this probability, we need to analyze the information provided.
The Classical method is based on theoretical assumptions and probabilities calculated using mathematical principles. It assumes equally likely outcomes and relies on counting favorable outcomes over the total number of possible outcomes.
The Empirical method involves gathering data from observations or experiments to estimate probabilities. It relies on observed frequencies and relative frequencies to compute probabilities. However, the given probability does not suggest a sample or data collection, making it unlikely that the Empirical method was used.
The Subjective method involves assigning probabilities based on personal judgment or opinions. Individuals subjectively evaluate the likelihood of an event based on their own beliefs or knowledge.
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