The solution to the given algebraic expression is; ³/₇(3y + 12z)
How to simplify Algebraic Functions?In mathematics, an algebraic function is a function that can simply be defined as the root of a polynomial equation.
Now, we are given the algebraic function as;
3x(3y + 12z)/7x
Now, it is observed that there is x at the numerator and denominator. Thus, the x will cancel out to give us;
3(3y + 12z)/7
Rewriting this gives us;
³/₇(3y + 12z)
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PLEASE EXPLAIN AND SHOW YOUR WORK THANK YOU!!
Solve as a MIXED NUMBER:
-2.25 + 0.4x = -2.8
THANK YOU!
The value of x on the equation 2.25 + 0.4x = -2.8 is -0.1375.
How to calculate the value of x?A equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions.
The equation is given as;
- 2.25 + 0.4x = -2.8
Collect the like terms
0.4x = -2.8 + 2.25
0.4x = -0.55
Divide
x = -0.55 / 0.4
x = - 0.1375
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A fast food outlet claims the mean waiting time in line is less than 3. 5 minutes. A random sample of 20 customers has a mean of 3. 7 minutes with a standard deviation of 1 minute. What will be the test statistic?.
Answer:
To determine the test statistic for this problem, we need to first calculate the standard error of the mean. This is given by the formula:
Standard error of the mean = Standard deviation / sqrt(n)
where n is the number of samples in the population. In this case, the standard deviation is 1 minute and the number of samples is 20, so the standard error of the mean is equal to 1 / sqrt(20) = 0.22.
We can now use this value to calculate the test statistic, which is given by the formula:
Test statistic = (Sample mean - Population mean) / Standard error of the mean
In this case, the sample mean is 3.7 minutes, the population mean is less than 3.5 minutes, and the standard error of the mean is 0.22. Since the population mean is less than 3.5 minutes, we will use 3.5 as the value for the population mean in our calculation. Plugging these values into the formula, we get:
Test statistic = (3.7 - 3.5) / 0.22 = 0.22 / 0.22 = 1
Therefore, the test statistic for this problem is 1. This value indicates that the sample mean is slightly higher than the population mean, but not by a significant amount.
Roxanne drew an indigo line that was 11 4/5 inches long. Then she drew a white line that was 6 3/5 inches long. How much longer was the indigo line than the white line?
The indigo line is longer than the white line by 5.2 inches.
What is a line?A line is a one-dimensional figure that has length but no width.
The length of the indigo line can be represented as I and the length of the white line as W.
The length of the indigo line is 11 4/5, i.e., I = 11 4/5 = 11.8
The given length of the white line is 6 3/5, i.e. W = 6 3/5= 6.6
The difference in length between the indigo and white lines is given by
I-W = 11.8 - 6.6 = 5.2
Hence, the indigo line is 5.2 inches longer than the white line.
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the variability believed to be in the population, the acceptable margin of sample error, and the level of confidence required in your estimates of the population values describe the basic elements required to calculate the proper sample size for a survey. true false
The statement mentioned in the question is True.
The sample size of a survey is determined by the variability believed to be in the population, the acceptable margin of sample error, and the level of confidence required in estimates of the population values. These elements are important considerations when designing a survey because they help to ensure that the results of the survey are reliable and accurately reflect the characteristics of the population being studied.
To calculate the proper sample size for a survey, you need to first determine the size of the population being studied and the level of precision you want to achieve in your estimates. You also need to consider the level of confidence you want to have in your estimates and the acceptable margin of error for your survey. Once you have all of this information, you can use a sample size calculator or a statistical formula to determine the appropriate sample size for your survey.
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How do news paper work?
Go step by step to reduce the radical
The reduced form of the radical √192 is 8√3.
How to reduce radicals?A radical is a symbol that represents a particular root of a number. Radical simply means square root of a number.
Therefore, the symbols for radical is √.
Let's reduce the radical accordingly,
√192
Let's find number you can multiply to get 192. One of the numbers will be a perfect square.
Therefore, the numbers are 64 and 3. 64 is the perfect square.
Therefore,
√192 = √64 × 3 = √ 8² × 3 = 8√3
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n- ? 1) When loan officers speak to people about taking out a loan for a certain principal, P at a certain monthly rate, they always have to balance two quantities, the monthly payment, m] with the number of payments, n] it takes to pay off the loan. These two vary inversely. All of these quantities can be related by the formula: Por 1-(1+r)¯" m= Calculate the monthly payment needed to pay off a $200,000 loan at 4% yearly interest over a 20-year period.. 110
[tex]m = \frac{200000.1/3}{1-(2/3)^{-240} }[/tex] is the monthly payment
What is Compound interest?
Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
According to given question:
Principle Amount (P) = $200, 000
Rate(r) = 4% yearly
Rate(r) = 4/12 % Monthly
Rate(r) = 1/3 % Monthly
Time = 20 years = 240 months
⇒ 240 is the number of payment needed to pay
n = 240
Therefore, the monthly payment needed to pay
⇒ [tex]m = \frac{P.r}{1-(1-r)^{-n} }[/tex]
⇒ [tex]m = \frac{200000.1/3}{1-(1-1/3)^{-240} }[/tex]
⇒ [tex]m = \frac{200000.1/3}{1-(2/3)^{-240} }[/tex]
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Plssssssssssssssssssss
hamid is playing a trivia game with multiple choice questions. each question has 222 correct answers among 555 answer choices. hamid has no idea what the answers to a certain question are, so he needs to choose two different answers at random. what is the probability that hamid guesses both answers correctly? round your answer to two decimal places.
10 is the probability that hamid guesses both answers correctly .
What is the simple definition of probability?
A probability is a number that expresses the possibility or likelihood that a specific event will take place.
Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
the likelihood that Hamid will correctly guess both answers
= 2/5x1/4 = X
= 0.4x0.25 = X
= 0.1 = X
= 0.1x 100 = 10
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set the two equations to each other then solve for x y=2x-3
Answer:
The value of x is (y + 3)/2
Step-by-step explanation:
y = 2x - 3
y + 3 = 2x - 3 + 3
y + 3 = 2x
2x/2 = (y + 3)/2
x = (y + 3)/2
Thus, The value of x is (y + 3)/2
Answer:
x = (y + 3)/2
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ y = 2x - 3
Then the value of x will be,
→ y = 2x - 3
→ 2x - 3 = y
→ 2x = y + 3
→ x = (y + 3)/2
→ x = (y/2) + (3/2)
Hence, answer is x = (y + 3)/2.
1. $3.96 x 5
2. 0.023 x 40
3. 0.67 x 61
4. $19.99 x 6
5. 0.13 x 57
6. 0.041 x 15
Answer:
1. $19.80
2. 0.92
3. 40.87
4. 119.94
5. 7.41
6. 0.615
Step-by-step explanation:
1. $3.96 x 5 = $19.80
2. 0.023 x 40
⇒ 0.023 x 10 = 0.23
⇒ 0.23 x 4 = 0.92
3. 0.67 x 61
⇒ 0.67 x 1 = 0.67
⇒ 0.67 x 60 = 40.2
⇒ 0.67 + 40.2 = 40.87
4. $19.99 x 6
⇒ 19.99 x 6 = 119.94
5. 0.13 x 57
⇒ 0.13 x 50 = 6.5
⇒ 0.13 x 7 = 0.91
⇒ 6.5 + 0.91 = 7.41
6. 0.041 x 15
⇒ 0.041 x 10 = 0.41
⇒ 0.041 x 5 = 0.205
⇒ 0.41 + 0.205 = 0.615
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1. In linear equation with two variables "ax + by = c", a and b cannot be equal to
(a) One
(b) Zero
(c) Integer
(d) Rational number
In linear equation with two variables "ax + by = c", a and b cannot be equal to Zero. which is the correct answer would be an option (A).
In a linear equation with two variables "ax + by = c", a and b can be any real numbers, including zero and integers. They can also be irrational numbers or rational numbers.
There is no restriction on the values of a and b in this equation.
As per the question, the following are all valid linear equations :
x + 0y = 2 ⇒ x = 2
0x + y = 1 ⇒ y = 1
Here above linear equations having only one variable so a and b cannot be equal to zero.
Thus, in a two-variable linear equation, a and b cannot be equal to zero.
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(9x -38)= (2x+42) find mf this exam is crazy
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x=80/7
Decimal Form: x=11.428
or 11.44
Mixed Number Form: x=11 3/7
What are the significant digits?
2.6 × 10'-15'
( -15 is an exponent btw)
Therefore, the number of significant figures is 4.
What are Significant Figures?Significant figures are the digits of a number that are meaningful in terms of accuracy or precision. These digits indicate the precision of a calculation or measurement.
What are Significant Figures Rules?Non-zero digits are always significant.Zeros between non-zero digits are always significant.Leading zeros are never significant.if we have trailing zeros then they are only significant if the number contains a decimal point.Given:
exponential notification is,
2.6 ×[tex]10^{-15}[/tex]
=365500
(real number)
= 3.655 × [tex]10^{5}[/tex]
(scientific notation)
= 3.655e5
(scientific exponential notation)
Therefore, the number of significant figures is 4.
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Which equation is equivalent to 1\5x-3-2\3
The equivalent equation of the equation given as 1/5x - 3 - 2/3 is 1/5x - 11/3
How to determine the equivalent equationFrom the question, we have the following parameters that can be used in our computation:
1\5x-3-2\3
The fractions can be properly expressed as
1/5x - 3 - 2/3
Next, we evaluate the difference between -3 and -2/3
So, we have the following representation
1/5x - 3 - 2/3 = 1/5x - (9 + 2)/3
Evaluate the like terms
So, we have the following representation
1/5x - 3 - 2/3 = 1/5x - (11)/3
Remove the brackets
This gives
1/5x - 3 - 2/3 = 1/5x - 11/3
Hence, the equivalent equation is 1/5x - 11/3
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16 - x^2
x^2 - 9y^2
1/25x^2 - 64y^2
Answer:
The solutions to the given equations are x = 4, x = -4, x = 3y, x = -3y, 1/5x = 8y, and 1/5x = -8y.
Step-by-step explanation:
These are all algebraic expressions, which are combinations of variables, numbers, and mathematical operations. The first expression, 16 - x^2, is an example of a difference of squares. The second expression, x^2 - 9y^2, is also a difference of squares. The third expression, 1/25x^2 - 64y^2, is a difference of squares with a fractional coefficient in front of the first term.
To solve an equation, we need to find the values of the variables that make the equation true.
For the first equation, 16 - x^2, we can solve it by adding x^2 to both sides to get rid of the negative sign. This gives us 16 = x^2, and then we can take the square root of both sides to get x = +/- 4. Therefore, the solutions to this equation are x = 4 and x = -4.
For the second equation, x^2 - 9y^2, we can solve it by factoring the left-hand side to get (x - 3y)(x + 3y) = 0. This means that the product of the two factors on the left-hand side must be equal to 0, so either x - 3y = 0 or x + 3y = 0. Solving each of these equations separately, we get x = 3y and x = -3y. Therefore, the solutions to this equation are x = 3y and x = -3y.
For the third equation, 1/25x^2 - 64y^2, we can solve it by factoring the left-hand side to get (1/5x - 8y)(1/5x + 8y) = 0. This means that the product of the two factors on the left-hand side must be equal to 0, so either 1/5x - 8y = 0 or 1/5x + 8y = 0. Solving each of these equations separately, we get 1/5x = 8y and 1/5x = -8y. Therefore, the solutions to this equation are 1/5x = 8y and 1/5x = -8y.
In summary, the solutions to the given equations are x = 4, x = -4, x = 3y, x = -3y, 1/5x = 8y, and 1/5x = -8y.
Write the equation for a line parallel to y=-x + 7 that
passes through (7,-2).
Pls help!! Asap
Answer:
the slope is same, so y=-x+5 (x=7, y=-2 insert)
If f(x) = x³ - 5x² - 2x + 24 and x + 2 is a factor of f(x), then find all of the
zeros of f(x) algebraically.
All the zeroes of the polynomial x³ - 5x² - 2x + 24 are -2, 3, and 4.
What are the zeroes of a polynomial?The polynomial can be expressed as [tex]ax^{2} +bx+c=0[/tex], where a, b and c are real numbers. The numbers by which the polynomial expression values equal zero are termed zeroes of the polynomial.
The number of zeroes of the polynomial depends on the highest power of the polynomial.
Calculation:As x + 2 is one of the factor of f(x),
Now, dividing x³ - 5x² - 2x + 24 by x + 2, we get
Quotient = [tex]x^2-7x+12[/tex]
Remainder = 0
Now, factorizing the quotient by splitting the middle term,
[tex]x^2-3x-4x+12=0[/tex]
[tex]x(x-3)-4(x-3)=0[/tex]
[tex](x-3)(x-4)=0[/tex]
Now, equating both values to 0, we get
x = 3 and x = 4
All the zeroes of the polynomial x³ - 5x² - 2x + 24 are -2, 3, and 4.
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Carlos graphed the system of equations that can be used to solve x cubed minus 2 x squared 5 x minus 6 = negative 4 x squared 14 x 12. On a coordinate plane, 2 functions are shown. The functions intersect at (negative 3, negative 66), (negative 2, negative 32), and (3, 18) What are the roots of the polynomial equation? –3, –2, 3 –3, 2 18, 32 18, 32, 66
Answer: A
Step-by-step explanation: the other guy is wrong
If ABC is equilateral, solve for x
Find the number of degrees for the sum of the interior angles of a regular 12-sided figure.
Answer:
Sum of 12-sided polygon=1800°
Measure of each interior angle of a regular12-sided polygon=150°
Solve for p: 3+ 10p - 8p = 17
What is the value of the function shown when x = -5?
f(x) = x2 + 7
Answer:
-3
Step-by-step explanation:
f(-5) = (-5)2 + 7
= -10 + 7
= -3
What is the partial sum of terms 12 to 15 of the arithmetic sequence 100, 88, 76, 64, …?
The provided sequence's 12th through 15th terms add out to -200.
The formula is used to get the sum of n terms in an arithmetic sequence.
Sn = ((2×a₁)+(d×(n -1)))×(n/2)
where d is the common difference and a₁ is the first number in the series.
Finding the total of four words in a series that starts with 100, 88, 76 is necessary to solve this issue. These are the 12th through 15th terms.
General Term
The formula indicates what an arithmetic sequence's general term is.
aₙ = a₁ +d(n-1)
where d is the common difference and a is the first term.
The first term in the above sequence, a₁ is 100, and the common difference is...
d = 88 -100 = -12
Then the general term is
aₙ = 100 -12(n -1)
The 12–15 term total is what we need. This sub-first sequence's phrase is
a₁₂ = 100 -12(12 -1) = 100 -132 = -32
The following words in the series will all share a -12 common difference. The following sum formula may be used to get the total of the four terms:
Sₙ = (2·a₁+d(n -1))(n/2) . . . . . . . for a₁=-32, d=-12, and n=4
S₄ = (2·(-32) -12(4 -1))(4/2) = (-64 -36)(2) = -200
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Usain Bolt holds the world record for the 200 meter dash at 19.19 seconds. What is the length of the 200 meter race in inches? What is his feet per second average speed over the race distance? What is this speed in miles per hour?
(I need the equation for each answer)
Answer:
The length of a 200 meter race in inches can be calculated by converting the distance to meters and then multiplying by the number of inches per meter. Since there are 0.0254 meters in one inch, the length of a 200 meter race in inches is 200 * 0.0254 = 5.08 meters.
Usain Bolt's feet per second average speed over the 200 meter race distance can be calculated by dividing the length of the race in feet by the time it took him to run it. Since there are 3.281 feet in one meter, the length of the race in feet is 5.08 * 3.281 = 16.63 feet. Dividing this distance by Bolt's world record time of 19.19 seconds, we get a feet per second speed of 16.63 / 19.19 = 0.864 feet per second.
To convert Bolt's feet per second speed to miles per hour, we can multiply it by the number of feet in one mile and the number of seconds in one hour. Since there are 5280 feet in one mile and 3600 seconds in one hour, Bolt's speed in miles per hour is 0.864 * 5280 / 3600 = 1.3 miles per hour.
he table below models the cost, y, of using a high-efficiency washing machine and a standard washing machine over x number of years. Which equation represents the cost of the high-efficiency washing machine over a given number of years? Which equation represents the cost of the standard washing machine over a given number of years? After how many years of use would the washing machines cost the same amount? Which washing machine would be the more practical purchase if kept
How do I solve for x?
Apply arithmetic operations to both sides of the equation to bring the variable to one side and all other values to the other side in order to find the value of x. To determine the outcome, simplify the values.
Meaning of y = mx + b
The slope-intercept formula for a straight line is y = mx + b. m is referred to as the line’s slope and b is referred to as the line’s y-intercept in the equation y = mx + b for a straight line. Y = mx+b, where
Y ⇒ how far up or down is the line,
X ⇒ how far along is the line,
B ⇒ the value of y when x = 0 and
M ⇒ how steep the line is.
This is determined by m = (difference in y coordinates)/ (difference in x coordinates).
1. we have to determine a straight line equation that models the cost of High-Efficiency washing machine over the years;
Slope of the line = change in y / change in x
= [tex]\frac{550-525}{2-1}[/tex]
= 25
Equation will be
y= 25x+c
Where y is the cost of the High-Efficiency washing machine and x the number of years.
To find c we take points from table,
525= 25×1+ c
c= 525-25
c= 500
Therefore, y= 25x+ 500
2. we have to determine a straight line equation that models the cost of Standard washing machine over the years;
Slope of the line = [tex]\frac{430-400}{2-1}[/tex]
= 30
Equation will be,
y= 30x+c
where y is the cost of the Standard washing machine and x the number of years.
To find c we take points from table,
430= 30×1+ c
c= 430-30
c= 400
Therefore, y= 30x+ 400
3. Given the cost functions for both machines over the number of years, we simply equate the two equations and determine the value of x when both machines would cost the same amount;
y= 25x+ 500
y= 30x+ 400
Equating both equations,
30x+ 400= 25x+ 500
30x- 25x= 500-400
5x= 100
x =[tex]\frac{100}{5}[/tex]
x= 20
Therefore, the washing machines would cost the same amount after 20 years of use.
4. To determine which machine would be the more practical purchase if kept for 9 years we use the cost functions obtained in 1. and 2.
High-Efficiency washing machine
y= 25x+ 500
y= 25×9+ 500
y= 725
Standard washing machine
y= 30x+ 400
y= 30×9+ 400
y= 670
Therefore, the cost for the Standard washing machine is more practical.
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Help with question 4
Answer:
It is 11-9/16
Step-by-step explanation:
please helppppp :(((
Answer: Crust and asthenosphere should be switched
Step-by-step explanation:
Brainliset please?
Answer:
Step-by-step explanation:
crust is the surface of the earth and the asthenosphere below it with currents that cause earthquakes.
Min Kurata deposited $875 for 3 months at 4% and made no other deposits or withdrawals. How much simple interest did his money earn? What is the amount in the account?
Hello,
I hope you and your family are doing well!
To find the amount of simple interest earned by Min Kurata's money, we can use the formula:
I = P * r * t
Where I is the amount of interest earned, P is the principal (the initial amount deposited), r is the annual interest rate, and t is the time in years.
In this case, the principal is $875, the annual interest rate is 4%, and the time is 3 months. Since the time is given in months, we need to convert it to years by dividing it by the number of months in a year (12):
t = 3 months / 12 months/year = 0.25 years
Plugging these values into the formula gives:
I = $875 * 0.04 * 0.25 = $35
So Min Kurata's money earned $35 in simple interest.
To find the total amount in the account, we can add the amount of interest to the principal:
total amount = $875 + $35 = $910
So the total amount in the account after 3 months is $910.
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Happy Holidays!
juan is trying to save pizza from dinner, so he can bring pizza to school for lunch he bought 1 3/7 od pepperoni pizza and ate 1 1/3 of the pepperoni pizza how much pizza does he have left to bring to school?
Answer:
i think 2/21 i think im wrong
Step-by-step explanation: