Answer:
x = 9(a+g)
Step-by-step explanation:
x/9 - g = a
Add g to each side
x/9 - g+g = a+g
x/9 = a+g
Multiply each side by 9
x/9 * 9 = 9(a+g)
x = 9(a+g)
In how many ways can 7 volunteers be assigned to 7 booths for a charity bazaar? A. 10,080 ways B. 2,520 ways C. 5,040 ways D. 1 way
To determine the number of ways to assign 7 volunteers to 7 booths for the charity bazaar, we can consider the concept of permutations. Since each volunteer must be assigned to a different booth, we are essentially permuting the volunteers among the booths.
The number of ways to arrange 7 volunteers into 7 distinct booths can be calculated using the factorial function. The factorial of a number n, denoted as n!, represents the product of all positive integers from 1 to n.
In this case, we have 7 volunteers and 7 booths, so we need to calculate 7!.
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5,040
Therefore, the correct answer is C. There are 5,040 ways to assign 7 volunteers to 7 booths for the charity bazaar. Each arrangement represents a unique assignment of volunteers to booths, ensuring that each volunteer is assigned to a different booth.
It is worth noting that the factorial function grows rapidly as the number increases. In this case, with 7 volunteers and 7 booths, the number of possible arrangements is quite large.
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Which unit rate of 6 meters per hour?
A.Traveling 24 meters in 12 hours
B.traveling 18 meters in 3 hours
C.traveling 12 meters in 6 hours
D.traveling 6 meters in 2 hours
Answer:
B.traveling 18 meters in 3 hours
Step-by-step explanation:
distance/time
18/3
6
ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
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549.5 to 1 decimal place
Answer:
It is still 549.5
Step-by-step explanation:
Rounding to 1 decimal place is just rounding by the tenth place
So it is still 549.5
Hope this helps!
Why is it important that scientists use all of their results and not just some of them? Example: What should a scientist do if the evidence neither supports nor contradicts the hypothesis?
Why is it important for scientists to repeat each other's experiments?
Is there any scientific knowledge that it would be better not to have?
It is important for scientists to use all of their results because selective reporting can lead to biased or incomplete conclusions. Including all results helps ensure objectivity and transparency in scientific findings.
When the evidence neither supports nor contradicts the hypothesis, it is crucial for scientists to acknowledge and report this outcome. It indicates the need for further investigation and can contribute to the accumulation of knowledge. Scientists should explore alternative explanations, refine their hypotheses, or modify their experimental approaches to gain a deeper understanding of the phenomenon.
Scientists repeating each other's experiments serves as a vital aspect of the scientific process called replication. Replication helps validate or challenge previous findings, ensures the reliability of results, and identifies any potential errors or biases. It enhances the overall credibility and robustness of scientific knowledge by promoting consensus and reducing the likelihood of false or misleading conclusions.
Regarding whether there is any scientific knowledge that it would be better not to have, it is a complex question. Generally, scientific knowledge empowers humanity by expanding our understanding of the world and driving progress. However, ethical considerations may arise in certain areas, such as knowledge that could be weaponized or have harmful consequences if misused. Responsible dissemination and application of scientific knowledge, along with ethical frameworks, help ensure the benefits outweigh the potential risks.
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State if the three numbers can be the measures of the sides of a triangle. Show your work
1) 7,2,6
2) 11,2,11
Answer: 2
Step-by-step explanation:
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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If 9x²+24x+c is a perfect square, then c is?
Answer:
the value of c is 4. or may consider it 4square as per the formula
hope is helps you.
you may Mark me as brainliest
Can someone explain how 8.75 multiplied by 0.8 is 7??? It just don't make sense... I don't see why the number got smaller instead of bigger.....
Answer:
80% of 8.75=7. I'm pretty sure this is the reason.
Answer:
It's because of the decimal of .8
Step-by-step explanation:
It can be confusing but since its not a whole number when you multiply with a whole number gets smaller instead of bigger. So the whole number basically has to give some of it to the decimal so, that the outcome can be a whole number.
Sorry, if this isn't the best!
What transformations are applied to the graph of the function f(x) = 10^x to produce the graph of the function g(x) = 3(10)^x – 2?
A. a vertical dilation by a factor of 1/3 and a vertical shift down 2 units
B. a vertical dilation by a factor of 3 and a horizontal shift to the right 2 units
C. a vertical dilation by a factor of 3 and a vertical shift down 2 units
a vertical dilation by a factor of and a horizontal shift to the right 2 units
OB.
OC.
OD
La banqueta que rodea un jardín rectangular es de 4 metros de ancho. El jardín tiene
12 metros más de largo que de ancho. Si el área del jardín con la banqueta es de 1,728
m2, ¿cuáles son las dimensiones del jardín?
Tomar en cuenta que:
Ancho del jardín (sin banqueta): x
Answer:
jbhbchbhvbbhcbrhfbcbhshshbhsvhbhv;b;rvbhbhcrbihcbhc
Step-by-step explanation:
please help it’s on of my last questions
Determine whether you can construct many, one, or no triangle(s) with each description.
Sara wants to find the input value that produces the same output for the functions represented by the tables.
A table headed with f(x) equals negative 0.5 x plus 2, with 2 columns and 8 rows. The first column, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second row, f(x), has the entries 3.5, 3, 2.5, 2, 1.5, 1, 0.5. A table headed with g(x) equals 2 x minus 3, with 2 columns and 8 rows. The first column, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second row, g(x), has no entries.
What is the input value that produces the same output value in both charts?
–2
–1
1
2
The input value that produces the same output value in both charts is 2. so the correct answer is option D.
What is a function?
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
You are given two functions f (x) = -0.5X +2 and g(x) = 2x - 3
x f(x)
-3 3.5
-2 3
-1 2.5
0 2
1 1.5
2 1
3 0.5
The second table is given below:-
x g(x)
-3
-2
-1
0
1
2
3
We will put the points and will find the value of functions:-
g(-3) = 2(-3) - 3 = -6 -3 = -9
g(-2) = 2 -(-2) -3 = -7
g(-1) = 2( -1) -3 = -3
g(0) = 2 - 0 - 3 = -3
g(1) = 2.1 - 3 = -1
g(2) = 2.2 -3 = 1
g(3) = 2.3 -3 = 3
Hence the second table will be
x g(x)
-3 -9
-2 -7
-1 -5
0 -3
1 -1
2 1
3 3
The input value that produces the same output value in both charts is 2.
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Select the correct answer.
Victor solved this inequality as shown:
Step 1: 3x − 5 > x + 5
Step 2: 2x − 5 > 5
Step 3: 2x > 10
Step 4: x > 5
What property justifies the work between step 3 and step 4?
A.
division property of inequality
B.
inverse property of multiplication
C.
subtraction property of inequality
D.
transitive property of inequality
The correct justification for moving from step 3 to step 4 in victor's solution is A. division property of inequality
What is division property of inequality?According to the division property of equality, if we divide an equation's two sides by the same number, the equation doesn't change.
Let's say you have two identically sized pizzas. You divide each one into halves and serve your buddies one half of each pizza. You will have equal pieces of both pizzas left over if you measure
as regards the Victor's problem division of both sides of the equation by 2 is achieved by the division property of inequality
Instance of division property of inequality dividing by 2
Step 3: 2x > 10
Step 4: x > 5
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write a polynomial given the zeros of 0 (multiplicity 2), 1
Answer:
\(\displaystyle{P(x)=x^3-x^2}\)
Step-by-step explanation:
Given the zeros of 0, 0, 1. We can write the polynomial in form of x-intersects:
\(\displaystyle{P(x) = (x-x_1)(x-x_2)(x-x_3)}\)
Hence:
\(\displaystyle{P(x)=(x-0)(x-0)(x-1)}\)
Which can be simplified to:
\(\displaystyle{P(x)=x\cdot x \cdot (x-1)}\\\\\displaystyle{P(x)=x^2(x-1)}\)
Convert to the standard form by distributing x²:
\(\displaystyle{P(x)=x^2\cdot x - x^2 \cdot 1}\\\\\displaystyle{P(x)=x^3-x^2}\)
In the diagram above <1=40%.find the measure of <2. <2=[?]%
Answer:
∠ 2 = 40°
Step-by-step explanation:
∠ 1 and ∠ 2 are corresponding angles and congruent, thus
∠ 2 = ∠ 1 = 40°
(2^-2 •3^-1•5^0)^-1 exponent solving
The answer is 12.
fkfkfkfk
( marking right as brainliest and 5.0 star! ) Seaira measures and records the lengths, in feet, of 9 lizards. The line plot below shows the information she records, based on the line plot what is the difference between the lengths in feet, of the longest lizards and the shortest lizards?
Based on the line plot, the shortest lizard is 2 feet long and the longest lizard is 7 feet long. Therefore, the difference between the lengths of the longest and shortest lizards is 5 feet.
The line plot indicates that the shortest and longest lizards are each 2 feet long. As a result, there are 7 - 2 = 5 feet between the longest and shortest lizards in terms of length.
A line plot is a graph that displays data using X's above a number line to represent the frequency of each value. In this case, the line plot shows the lengths of the 9 lizards that Seaira measured.
A line plot, commonly referred to as a dot plot, is a straightforward graphical data display that shows distinct data points along a number line. It is frequently used to display the frequency and distribution of a set of data. A mark or dot is placed above the relevant value on the number line to symbolise each data point. Line plots offer a visual representation of the data's central tendency and variation and are especially helpful for small data sets. They enable fast data analysis, allowing for the detection of outliers, clustering, and discrepancies in the data distribution.
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i need help with this please
Answer:
n= -1.2
Step-by-step explanation:
I think because if you use slope equation to find the slope which is 3/5 and then you use point slop equation to find out what the equation would be. y=3/5x and then you substitue y for 18 and solve/simplify the equation to get -1.2.
if f (x)=2[x],find f(1 1/4).
Answer:
11/2
Step-by-step explanation:
f(11/4) means x = 11/4
so substitute 11/4 for x in the eqn 2[x]
f(11/4) = 2[11/4] = 11/2
Find the volume of the triangular prism to the right.
6 height
11 base
The volume of the triangular prism is 198 cubic units.
To find the volume of a triangular prism, we need to multiply the area of the base triangle by the height of the prism.
In this case, the base of the triangular prism is a triangle with a base of 11 units and a height of 6 units, so the area of the base is:
Area of base = (1/2) × base × height
Area of base = (1/2) × 11 units × 6 units
Area of base = 33 square units
The height of the prism is given as 6 units.
Therefore, the volume of the triangular prism is:
Volume of prism = Area of base × Height
Volume of prism = 33 square units × 6 units
Volume of prism = 198 cubic units
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multiply (x+3)(x-4)
what is the middle term in the simplified product?
x
-x
3x
-4x
Answer:
The answer is -x
Step-by-step explanation:
(x+3)(x-4)
x²-4x+3x-12
x²-x-12
Answer:
-x
Step-by-step explanation:
HELP PLEASE. Question is in picture
AREA=
Answer:
45
Step-by-step explanation:
Base=11-(-4)=15
Height=2-(-4)=6
15×6×0.5=45
Area=45 units²
Answer:
75
Step-by-step explanation:
answer attached
7/12 x 4x3 =? I need help
Cyphon, this is the solution:
We have to multiply the following fractions:
7/12 * 4/3
7 * 4 / 12 * 3
28/36
Simplifying, we have:
7/9 (Dividing by 4 numerator and denominator)
We have to add the following fractions:
- 1/2 + 4/9
Let's find the lowest common denominator between 2 and 9, as follows:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22
9, 18, 27, 36
The lowest common denominator is 18
In a standard normal distribution the probability of z being less than or equal zero is?
In a standard normal distribution the probability of z being less than or equal zero is 0.5.
What is standard normal distribution?The standard normal distribution, also known as the z-distribution, is a type of normal distribution with a mean of zero and a standard deviation of one.
Some key features regarding the standard normal distribution are-
Any normal distribution's values can be standardized by converting them to z-scores. Z-scores indicate how so many standard deviations each value is from the mean.Transforming a normal distribution to a z-distribution enables you to compute the likelihood of specific values occurring and compare various sets of data.Every normal distribution is a stretched or squeezed version of the standard normal distribution that has been moved horizontally right or left.The mean determines the center of the curve. Increasing the mean shifts the curve to the right, whereas decreasing it shifts the curve to the left.The standard deviation either stretches or compresses the curve.Now, as per the given question;
The mean of a standard normal distribution is 0.
Because this distribution is symmetric, the median is also equal to 0.
So, P ( z ≤ 0 ) = P ( z ≤ median ) = 0.5
Therefore, the standard normal distribution the probability of z being less than or equal zero is 0.5.
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Choose the graph of this equation
hey, how to calculate sample minimum?
Answer: C
Step-by-step explanation: Since there are 5 teachers, you can only have 4/5 samples with the minimum age of 23, and one sample w/the next lowest minimum age of 34, because you can only have samples of 4 teachers at a time.
2- Which equations have no solution? Select all
that apply.
x + 3 = 2x + 3
8 = 2(x+4) − 2x.
5x-2x = -7x+1
2x-3 = 5x - 3-3x
4xx+6= 2(x+1)+x
Answer: E has no solution
Step-by-step explanation: It is a contradiction
Connie Hamm demonstrates microwave ovens at a home décor center . She is paid $35.00 per demonstration for the first 10 demonstrations and $ 45.00 for each demonstration over 10. Also , for every microwave sold , she earns $ 20.55 . What is Hamm's commission on a day in which she makes 12 demonstrations and 4 sales ?
What is the least common multiple of 7, 3, and 4?