Answer:
3xyz
Step-by-step explanation:
The required sum = 7xyz+(−5xyz)+9xyz+(−8xyz)
=7xyz–5xyz+9xyz–8xyz
=(7–5+9–8)xyz
=(16–13)xyz
=3xyz
In the given case, The sum of the given expressions is \(-3x2y2z2 + 19xyz2 + 10xyz - 10xyz2.\)
To add the given expressions, we combine the like terms and simplify.
To add the given expressions, we combine the like terms.
Like terms are the ones that have the same variables raised to the same powers.
In the first expression, we have \(-3x2y2z2, 12xyz2, and 7xyz.\)
In the second expression, we have 10xyz and -10xyz2.
Combining the like terms, we get \(-3x2y2z2 + (12 + 7)xyz2 + 10xyz - 10xyz2.\)
Simplifying further, we have \(-3x2y2z2 + 19xyz2 + 10xyz - 10xyz2.\)
So, the sum of the given expressions is \(-3x2y2z2 + 19xyz2 + 10xyz - 10xyz2.\)
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Consider a male restroom design with minimum plumbing requirements of 12 water closets and 13 lavatories, which one of the following is closest to the minimum space required with considering urinal substitution? Select one: O a. 222 b. 219 c. 237 d. 249
none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.
To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.
The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.
Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:
Minimum space required for water closets = 12 water closets * 30 inches = 360 inches
Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches
Adding these two values together, we get a total minimum space requirement of 672 inches.
Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.
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The population of bacteria doubles every 6 hours. By how much will it grow in three days. Write the equation
Answer:
Step-by-step explanation:
let x be the population
so we have ,
2x= 6h
?= 3 days or 3×24h
by cross multiplication we have
2x× 72h= 6h×?
?= 2x×72/6 = 24x
So, in three days the bacteria will b 24 times current population.
which shows the price of a $35 video game after a mark up 27%
Answer:
Step-by-step explanation:
35*27%=9.45 mark up
35+9.45= 44.45 total cost
Answer:
The answer is $44.45
Step-by-step explanation:
You change the percent into a decimal so it would be .27 then multiply the .27 to the $35 and you will get $9.45. Then you add the $9.45 to the $35 and you will get the answer.
If 3m - n = 11, then m =
Answer:
n= -2 and m=3
Step-by-step explanation:
3 x 3= 9
11- 9 = 2
Find the number of distinguishable arrangements of each of the following "words." (a) acbens (b) baaben (c) aabbba
(a) The number of distinguishable arrangements of the word "acbens" is 180.
(b) The number of distinguishable arrangements of the word "baaben" is 60.
(c) The number of distinguishable arrangements of the word "aabbba" is 15.
(a) The word "acbens" has 6 letters, but two of them ("a" and "b") are repeated. We can use the formula for the number of permutations of n objects with k1, k2, ..., km indistinguishable objects of types 1, 2, ..., m, respectively:
P(n; k1, k2, ..., km) = n! / (k1! k2! ... km!)
For this word, we have k1 = 2 (for the two "a"s) and k2 = 1 (for the "b"). Plugging these values into the formula, we get
P(6; 2, 1) = 6! / (2! 1!) = 360 / 2 = 180
Therefore, there are 180 distinguishable arrangements of the word "acbens."
(b) The word "baaben" also has 6 letters, but this time there are three "a"s and two "b"s. Using the same formula as before, we have k1 = 3 and k2 = 2, so
P(6; 3, 2) = 6! / (3! 2!) = 720 / 12 = 60
Therefore, there are 60 distinguishable arrangements of the word "baaben."
(c) The word "aabbba" has 6 letters, but this time there are four "a"s and two "b"s. Using the same formula as before, we have k1 = 4 and k2 = 2, so
P(6; 4, 2) = 6! / (4! 2!) = 720 / 48 = 15
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The following data shows the daily production of cell phones. 7, 10, 12, 15, 18, 19, 20. Calculate the Mean, Variance and Standard Deviation of production of cell phones. Show your work in the space provided for: a) Mean b) Variance per Day c) Standard Deviation 16 SB
The following data shows the daily production of cell phones. 7, 10, 12, 15, 18, 19, 20. Mean The formula for finding the mean is: mean = (sum of observations) / (number of observations).
Therefore, the mean for the daily production of cell phones is: Mean = (7+10+12+15+18+19+20) / 7
= 101 / 7
Mean = 14.43
Variance The formula for finding the variance is: Variance = (sum of the squares of the deviations) / (number of observations - 1) Where the deviation of each observation from the mean is: deviation = observation - mean First, calculate the deviation for each observation:7 - 14.43
= -7.4310 - 14.43
= -4.4312 - 14.43
= -2.4315 - 14.43
= 0.5718 - 14.43
= 3.5719 - 14.43
= 4.5720 - 14.43
= 5.57
Now, square each of these deviations: 56.25, 19.62, 5.91, 0.33, 12.75, 20.9, 30.96 The sum of these squares of deviations is: 56.25 + 19.62 + 5.91 + 0.33 + 12.75 + 20.9 + 30.96
= 147.72
Therefore, the variance for the daily production of cell phones is: Variance = 147.72 / (7-1) = 24.62 Standard deviation ) Mean = 14.43b) Variance per Day = 24.62c) Standard Deviation = 4.96
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the cost of 4 beds and 3 wardrobes is $6,950 . of the bed costs $250 more than the wardrobe, find the cost of a bed
the cost of a wardrobe is approximately $850. Since the bed costs $250 more than the wardrobe, the cost of a bed would be approximately $850 + $250 = $1,100.
Let's assume the cost of a wardrobe is x dollars. Since the bed costs $250 more than the wardrobe, the cost of a bed would be x + $250.
According to the given information, the total cost of 4 beds and 3 wardrobes is $6,950. We can set up an equation to represent this:
4 * (x + $250) + 3 * x = $6,950
Simplifying the equation:
4x + $1,000 + 3x = $6,950
Combining like terms:
7x + $1,000 = $6,950
Subtracting $1,000 from both sides:
7x = $5,950
Dividing both sides by 7:
x ≈ $850
Therefore, the cost of a wardrobe is approximately $850. Since the bed costs $250 more than the wardrobe, the cost of a bed would be approximately $850 + $250 = $1,100.
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How to graph y= 3/4x- 1/2
The answer of the given question on how to graph y=3/4x-1/2 the following steps are given below.
What is y-intercept?The y-intercept is point where graph crosses y-axis. In other words, it is the point where x = 0 and the value of y is some number.
In the equation of a straight line in the form y = mx + b (where m is the slope of the line and b is the y-intercept), the y-intercept is the constant term (b) that appears without any x-variable.
For example, in the equation y = 2x + 3, the y-intercept is 3, since it is the value of y when x is zero. Similarly, in the equation y = -1/2x + 4, the y-intercept is 4, since it is the value of y when x is zero.
The y-intercept is an important property of a straight line, as it helps us to identify the starting point of the line and gives us an idea of the position of the line on the y-axis.
To graph the equation y = (3/4)x - (1/2), we can follow these steps:
Choose a range of x-values to plot. For example, we can choose x-values from -2 to 2.
Substitute each x-value into equation to find corresponding y-value. For example,
when x = -2, we have:
y = (3/4)(-2) - (1/2)
= -3/2
So the first point we can plot is (-2, -3/2).
Repeat step 2 for several more x-values to find additional points. For example, when x = -1, we have:
y = (3/4)(-1) - (1/2)
= -5/4
So we can plot the point (-1, -5/4).
Similarly, when x = 0, we have:
y = (3/4)(0) - (1/2)
= -1/2
So we can plot the point (0, -1/2).
Continuing this process for a few more values of x, we can get more points to plot.
Plot the points on the coordinate plane and connect them with a straight line.
Note that since the coefficient of x is positive (3/4), the line has a positive slope. Additionally, the y-intercept of the line is -1/2. Therefore, we can start by plotting the point (0, -1/2), which is where the line crosses the y-axis.
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A fast food restaurant just leased a new freezer and food fryer for three years. The service contract for the freezer offers unlimited repairs for a fee of $125 a year plus a $35 service charge for each repair needed. The restaurant’s research indicates that during a given year 80% of these freezers need no repairs, 11% needed to be serviced once, 5% twice, 4% three times, and none required more than three repairs.
a. Find the expected number of repairs for this freezer per year.
b. Find the standard deviation of the number of repairs per year.
c. What are the mean and standard deviation of the restaurant’s annual expense with the service contract for the freezer?
(a) Expected number of repairs per year is 0.33 (b) Standard deviation of number of repairs per year is 0.749, (c) The mean and standard deviation of annual expense are $136.55 and $26.217 respectively.
What is Standard Deviation?Standard deviation is a measure in statistics which measures the amount of deviation a set of data has with respect to their mean.
(a) Expected number of repairs for the freezer per year is the sum of the product of number of repairs to their probability.
E(Repairs) = (0 × 0.80) + (1 × 0.11) + (2 × 0.05) + (3 × 0.04)
= 0.33
(b) Standard deviation of number of repairs per year can be calculated as,
SD(Repairs) = \(\sqrt{[(0 - 0.33)^{2}(0.8)]+[(1-0.33)^{2}(0.11)] + [(2-0.33)^{2}(0.05)]+[(3-0.33)^{2}(0.04)] }\)
= √ (0.5611)
= 0.749
(c) Mean of the restaurant's annual expense with service contract is,
Mean = Expected cost = $125 + ($35 × 0.33) = $136.55
Standard deviation of the restaurant's annual expense with service contract is,
SD = \(\sqrt{35^{2}(0.5611) }\) = 35 × 0.759 = 26.217
Hence the expected number of repairs is 0.33, standard deviation of number of repairs is 0.749, mean and standard deviation of annual expense is $136.55 and $26.217 respectively.
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The value of a motorcycle decreases at a steady rate of 20% each year. What is the total percentage loss (to the nearest integer) in the value of the motorcycle at the end of 3 years?
Answer:
The total percentage loss would be 67%.
Step-by-step explanation:
Since we have given that
Rate of decline each year = 20%
Number of years = 5
We need to find the total percentage loss in value of the house at the end of 5 years.
So, Total percentage loss would be
I will give brainliest
If given the following situation;
At a fair, each person can spin two wheels of chance. The first wheel has the numbers 1, 2, and 3. The second wheel has the letters A and B.
Explain how you know if this game of chance is based on simple or compound probability.
Answer:
54
Step-by-step explanation:
because it's a divition so A
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Please solve
Researchers are interested in depressed individuals who are not responding to treatment. For their study, the researchers sample 18 patients from their own private clinics whose depression had not responded to treatment. Half received one intravenous dose of ketamine, a hypothesized quick fix for depression; half received one intravenous dose of placebo. Far more of the patients who received ketamine improved, as measured by the Hamilton Depression Rating Scale, usually in less than 2 hours, than patients on placebo. Would random assignment be possible to use? Why or why not? ("Be sure to thoroughly explain your choice.
Random assignment is a process that allocates study participants into groups based on chance. It's used in research to reduce the impact of selection bias, which occurs when researchers assign participants to groups in a non-random manner.
This is because random assignment would help researchers allocate participants to the two treatment groups (ketamine and placebo) in an entirely random manner, removing any bias that might otherwise occur.
It is because if random assignment is not used, it will be impossible to determine the effectiveness of ketamine as a treatment for depression since patients who are assigned to the ketamine group may differ in some unknown and nonrandom ways from those assigned to the placebo group.
Summary: Random assignment is a useful tool in research, and it can be used in this study to allocate patients to the ketamine and placebo groups randomly. This will ensure that the conclusions drawn from the study are valid and reliable.
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ASAP i have two other math questions i have 100 points on each of them
Use the graph to answer the question.
Graph of polygon VWXYZ with vertices at 3 comma 2, 3 comma 0, 6 comma negative 7, 9 comma 0, 9 comma 2. A second polygon V prime W prime X prime Y prime Z prime with vertices at 3 comma negative 10, 3 comma negative 8, 6 comma negative 1, 9 comma negative 8, 9 comma negative 10.
Determine the line of reflection.
Reflection across the x-axis
Reflection across the y-axis
Reflection across x = 6
Reflection across y = −4
Answer: Option (D): Reflection across y = -4
Step-by-step explanation:
To determine the line of reflection, we can find the midpoints of corresponding sides of the polygons and then find the line passing through the two midpoints.
The midpoints of corresponding sides of VWXYZ and V'W'X'Y'Z' are as follows:
VW and V'W': Midpoint is ((3+3)/2, (2-10)/2) = (3, -4)
WX and W'X': Midpoint is ((6+6)/2, (-7-1)/2) = (6, -4)
XY and X'Y': Midpoint is ((9+9)/2, (0-8)/2) = (9, -4)
YZ and Y'Z': Midpoint is ((9+6)/2, (2-1)/2) = (7.5, 0.5)
VZ and V'Z': Midpoint is ((3+9)/2, (2-10)/2) = (6, -4)
So the midpoints of the corresponding sides of the two polygons are collinear, and the line passing through these midpoints is the line of reflection.
The line passing through (3,-4) and (9,-4) is the horizontal line y = -4. Therefore, the line of reflection is the reflection across the horizontal line y = -4.
So the answer is option (d): Reflection across y = −4.
Hope this helps :)
The correct answer is d.
in general, assuming > 0, what is the probability that the decoder will know with certainty what the source bit was?
The characteristics of the channel or transmission medium, and other factors related to the specific system being considered.
What is the probability that the decoder will know with certainty what the source bit was?If we assume that the probability of error (the probability that the decoder will make a mistake) is greater than 0, then the probability that the decoder will know with certainty what the source bit was is 1 minus the probability of error.
Let's denote the probability of error as p_error. The probability that the decoder will know the source bit with certainty (probability of correct decoding) can be expressed as:
P_correct = 1 - p_error
Since we assume that p_error is greater than 0, the probability of correct decoding will be less than 1 but greater than 0.
It's important to note that this is a general concept and the specific value of p_error would depend on the decoding algorithm, the characteristics of the channel or transmission medium, and other factors related to the specific system being considered.
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i kinda need help on this
Answer:
16 units²
Step-by-step explanation:
Formula for the area of a parallelogram is given as, A = b*h
Where,
Base (b) = 4
Height (h) = √(5² - 3²) = 4 (Pythagorean theorem)
Plug in the values
Area of parallelogram, A = 4*4
= 16 units²
What values of the orbital number, or angular momentum (l) and magnetic (m_l) quantum numbers...
1a)The values of l range from 0 to (n-1), so for n = 3, l can have the values 0, 1, and 2.
b) The values of m can be -2, -1, 0, +1, and +2
c) There are a total of 9 orbitals
What are quantum numbers?
The qualities and traits of quantum systems, like the electrons in atoms, are described by a set of numbers known as quantum numbers. They offer knowledge on the system's energy, angular momentum, orientation, and spin, among other characteristics.
Using the formula, number of electrons = \(n^2\)
Number of electrons =\(3^2 = 9\)
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from 45 quarts to 8 quarts
Answer:
well the answer would be 37 but I dunno what u mean by that.
Step-by-step explanation:
if this is right please mark brainliest
Answer:
you are -ing 37 quarts from 45
Step-by-step explanation:
Can you help me solve and show at least 3 steps please
Answer:
x = 80 / 79 [improper fraction]
x = 1 ¹⁄₇₉ [mixed fraction]
x = 1 + \( 0.\overline{0126582278481} \)
[decimal]
x ≈ 1.01 [decimal to nearest hundredth]
Step-by-step explanation:
10.3x + 4.5x = 15
(10.3 + 4.5)x = 16
(15.8)x = 16
(15.8)x / 15.8 = 16 / 15.8
x = 16 / 15.8
x = (16) / (15 + ⁸⁄₁₀)
x = (16) / (15 + ⅘)
x = (16) / (15 ⅘)
x = (16) / (79 / 5)
x = (16) × (5 / 79)
x = 80 / 79
x = 1 ¹⁄₇₉
x = 1 + ¹⁄₇₉
x = 1 + \( 0.\overline{0126582278481} \)
x ≈ 1.01
The system of linear equations 3x +2y = -6 and y = 1/2 x +4 is graphed on a coordinate plane. Approximate the solution to the system
A (-3.5, 1.25)
B (-3.5, 2.25)
C (1.5, 4.25)
D (1.5, -5.25)
Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)
Answer:
M(13, 14)-------------------------
Each coordinate of the midpoint is the average of endpoints:
x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14Therefore M is (13, 14).
{(5,1),(-5,4),(6,2),(-6,8),(-5,3)}
Domain:
Range:
Function? Yes or No
Justify:
Answer:
so the Domain:
{5, -5, 6,−6}
Range: {1,4,2,8,3}
functon no
Since x=−5 produces y=4 and y=3, the relation (5,1),(−5,4),(6,2),(−6,8),(−5,3)is not function.
Step-by-step explanation:
domain is normally x and range in most the time y, this is what i was taught and i hope it helps and is right
1
2 kg de plátanos cuesta $400 ¿ Cuál será el valor de 5,5 kg de esa fruta?
Answer:
Gfd 600
Step-by-step explanation:
The function f(x) = 7x + 15 models the time in minutes that a customer will wait to get an oil change if there are x cars in line.
How long will a customer wait if they are the fifth car in the line?
A) 28 minutes
B) 35 minutes
C 43 minutes
D) 50 minutes
Answer:
D 50 minutes
Step-by-step explanation:
If the customer is the fifth car in line then x = 5, so
f(5) = 7(5) + 15
f(5) = 35 +15
f(5) = 50
Most phone numbers have seven digits after the area code, where each digit can be 0-9. How many different phone numbers can there be in one area code?
A) 10,000,000
B) 4,782,969
C) 282,475,249
D) 823,543
WILL MARK BRAINLIEST!
Answer:
Option A, 10,000,000
Step-by-step explanation:
The Counting Principle states that the number of possible outcomes is equal to the product of the number of outcomes for each event. There are seven events, each with 10 possibilities.
Answer:
10,000,000 is correct
Step-by-step explanation:
Got it right on the quiz
Matt wants to play in the sand pit, and then try the swings, the slide, and the seesaw, in that order. If the units on the coordinate plane are in yards, how many yards will Matt cover between the sandpit and the seesaw?
A.
12 yards
B.
15 yards
C.
18 yards
D.
25 yards
E.
29 yards
Answer:
it should be 12
i think :)
i hope im correct
Step-by-step explanation:
Evaluate
4! - (11-2)!
8!
Answer:
Step-by-step explanation:
The expanded value of n! is (n) * (n - 1) * (n - 2) until we reach one.
Given:
4! - ((11-2)!) / 8!)
Rewrite:
\(\displaystyle 4! - \frac{(11-2)!}{8!}\)
Subtract:
\(\displaystyle 4! - \frac{9!}{8!}\)
Expand:
\(\displaystyle 4*3*2*1 - \frac{9*8*7*6*5*4*3*2*1}{8*7*6*5*4*3*2*1}\)
Cancel out values that equal one in the fraction:
\(\displaystyle 4*3*2*1 - \frac{9}{1}\)
Multiply:
\(\displaystyle 24 - \frac{9}{1}\)
Simplify:
24 - 9
Subtract:
15
help me pls pls pla pls
Answer:
its a and d
Step-by-step explanation:
70+4+.05+.002
1. The top four languages spoken by the greatest number of people worldwide are...
2. Religions are important keys to human geographic understanding because...
1. The top four languages spoken worldwide are Mandarin Chinese, Spanish, English, and Hindi.
2. Religions are important for human geography understanding as they influence people's behaviors and interactions with the environment.
3. Religions shape land use patterns, settlement locations, migration, and cultural landscapes.
1. The top four languages spoken by the greatest number of people worldwide are Mandarin Chinese, Spanish, English, and Hindi. Mandarin Chinese is the most widely spoken language, with over 1 billion speakers. Spanish is the second most spoken language, followed by English and then Hindi.
These languages are widely used in different regions of the world and play a significant role in international communication and cultural exchange.
2. Religions are important keys to human geographic understanding because they shape people's beliefs, values, and behaviors, which in turn influence their interactions with the physical environment and other human populations. For example, religious practices can determine land use patterns, settlement locations, and even migration patterns.
Religious sites and pilgrimage routes also contribute to the development of cultural landscapes and can attract tourism and economic activities. Understanding the role of religion in human geography helps us comprehend the diverse ways people connect with and impact their environments.
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list 10 Objects that are vertical and horizontal and are found in the classroom
Classroom objects can be categorized as vertical or horizontal. Examples of vertical objects include doors, bookshelves, and clocks, while horizontal objects include desks, tables, and chairs.
In a classroom, there are many objects that are vertical and horizontal. Here are ten examples of each:
Vertical objects in a classroom:
1. Door 6. Clock
2. Cabinet 7. Electrical outlets
3. Bookshelf 8. Light switches
4. Whiteboard 9. Window blinds
5. Flagpole 10. Bulletin board
Horizontal objects in a classroom:
1. Desks 6. Keyboard trays
2. Chairs 7. Carpet tiles
3. Tables 8. Ceiling tiles
4. Countertops 9. Whiteboard markers
5. Shelves 10. Paper trays
These are just a few examples of vertical and horizontal objects that can be found in a classroom.
It is important to recognize the different shapes and orientations of objects in our environment, as they can affect the way we perceive and interact with them.
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