42= -7 (z - 3)
z = ?
Answers
Answer:
z = -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityDistributive Property
Terms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
42 = -7(z - 3)
Step 2: Solve for z
[Distributive Property] Distribute -7: 42 = -7z + 21[Subtraction Property of Equality] Subtract 21 on both sides: 21 = -7z[Division Property of Equality] Divide -7 on both sides: -3 = zRewrite: z = -3Related Questions
what ordered pair is the solution
Answers
Graph of.... 3 3=0 Y axis Solve the equation oc²³²= 2xx - 3=0 graphically x-20-3=0 Let you² - 2c-3 when y=0 you can find oc OC -2-1 oc² 1 4 4 2244 O O O Scale x axis -3-3-3-3 1 2 345 T 4 9 16 25 -2 -4 -6 -8 -10 -3-3-3-3-3 5/01-310-3 10 15/12
Answers
The solution to the equation does not exist
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
2x - 3 = 0
2x - 3 = 3
Also from the question, we understand that the graph is given as
3 = 0
The above equation is false, and cannot be represented on a graph
This is so because 0 and 3 do not have the same value
Similarly, we have 2x - 3 = 0 and 2x - 3 = 3
By substitution, the equations becomes
0 = 3
Hence, the equation has no solution
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Complete question
Graph of 3=0
Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically
What is the value of this subject when a =2 and b= -3?
a^3-b^3/5
Answers
Answer:
7
Step-by-step explanation:
a^3 = 2^3 = 8
b^3 = -3^3 = -27
(8 - (-27))/5= (8+27)/5 =35/5=7
(x+4) ² remove bracket and simplify
Answers
Answer:
To expand (x + 4)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². In this case, a = x and b = 4.
So,
(x + 4)² = x² + 2(x)(4) + 4²
= x² + 8x + 16
Thus, (x+4)² when expanded and simplified gives x² + 8x + 16.
Step-by-step explanation:
Answer:
x²n+ 8x + 16
Step-by-step explanation:
(x + 4)²
= (x + 4)(x + 4)
each term in the second factor is multiplied by each term in the first factor, that is
x(x + 4) + 4(x + 4) ← distribute parenthesis
= x² + 4x + 4x + 16 ← collect like terms
= x² + 8x + 16
Which of the following does not satisfy the inequality 3(x + 4) − x > 4?
A. x ≥ −3
B. x > −4
C. x = 0
D. x = −4
Answers
Answer:
B
Step-by-step explanation: It's B because -4 isn't greater than -4 it is the same number, and the symbol isn't greater than or equal to it is just greater than. Your answer is B.
in a 2 x 3 between subjects anova, how many total groups are there?
Answers
In a 2 x 3 between subjects ANOVA, there are a total of 6 groups. The first factor, with 2 levels, divides the participants into two distinct groups. The second factor, with 3 levels, further divides each of the two groups into three subgroups. This results in a total of 6 groups.
In this design, each group consists of a unique combination of the two factors, ensuring that each participant is assigned to only one group.
The purpose of conducting a between-subjects ANOVA is to examine the main effects of each factor, as well as any possible interactions between them, on a dependent variable.To illustrate, let's say we are conducting a study on the effects of a new medication on anxiety levels. The first factor may be gender, with two levels: male and female. The second factor may be dosage, with three levels: low, medium, and high. This results in six groups: male/low dosage, male/medium dosage, male/high dosage, female/low dosage, female/medium dosage, and female/high dosage. It's important to note that each group should have a sufficient number of participants to ensure statistical power and reliability of the results. Additionally, the number of groups can impact the complexity of the statistical analysis and interpretation of the findings.Know more about the ANOVA,
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The grade point average6of 20 college enior elected at random from a graduating cla are a
Answers
The mean of grade-point averages of 20 college seniors selected at random from a graduating class is 2.50.
What is Mean?Mean is the average of all numbers in the data set. The average can be found by dividing the sum of all numbers in the observed data by the number of data observations. This helps researchers, statisticians, etc. to find mean values in datasets. The formula for calculating the
average is:
mean = sum of values / number of values
It is denoted by X-bar.
We have the grade-point averages of 20 college seniors. The the random sample of graduating class as :
2.2, 1.6 ,2.7, 2.2, 2.4, 2.6, 3.8, 3.0, 2.5, 3.3, 1.8, 2.3, 3.3, 2.8, 2.0, 3.2, 2.1, 2.0, 2.9, 1.3
The Sum of grade point averages of 20 college seniors is calculated as follows,
∑ x = 2.2 + 1.6 + 2.7 + 2.2 + 2.4 + 2.6+ 3.8 + 3.0 + 2.5 + 3.3 + 1.8 + 2.3 + 3.3 + 2.8 + 2.0 + 3.2 + 2.1 + 2.0 + 2.9 + 1.3
∑x = 50
Total number of colleges , n = 20
Mean of distribution is calculated as follows,
X- bar = ∑x / n
where n is number of observations
X- bar = 50/20
=> X-bar = 2.5
Hence, required mean is 2.5 ..
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Complete question:
The grade-point averages of 20 college seniors selected at random from a graduating class are as follows:
2.2, 1.6 ,2.7, 2.2, 2.4, 2.6, 3.8, 3.0, 2.5, 3.3, 1.8, 2.3, 3.3, 2.8, 2.0, 3.2, 2.1, 2.0, 2.9, 1.3 Calculate the mean?
Suppose a charity received a donation of $27.3 million. If this represents 27% of the charity's donated funds, what is the total amount of its donated funds?
Answers
Answer:
$101.11 million----------------
We know that the $27.3 million represents 27% of the donated funds.
Let's call the total donated funds x.
27% of x is $27.3 million, then the value of x is:
0.27x = 27.3 millionx = 27.3 million / 27x = 101.11 millionTherefore, the total amount of the charity's donated funds is $101.11 million.
A point P on the unit radius circle centred at the origin has coordinates (5/13, 12/13).
Which one of the following is the angle between the positive x-axis and the line segment
joining the origin to P
Answers
Answer:
θ=67.38°
Step-by-step explanation:
Unit Circle
It's a circle with radius 1 where all the trigonometric functions are defined.
In the figure below the segment from the center to the point P forms an angle θ whose coordinates x and y are defined as:
x = cos θ
y = sin θ
We are given both coordinates (5/13,12/13). They should correspond to the same angle. Solving for θ:
\(\theta=\arccos (5/13)\)
\(\theta=67.38^\circ\)
And also:
\(\theta=\arcsin (12/13)\)
\(\theta=67.38^\circ\)
The coordinates correspond to the same angle, thus θ=67.38°
Lotteries In a New York State daily lottery game, a sequence of two digits (not necessarily different) in the range 0-9 are selected at random. Find the probability that both are different.
Answers
The probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10.
To find the probability that both digits in a New York State daily lottery game are different, we need to first calculate the total number of possible outcomes. Since there are 10 digits (0-9) that can be selected for each of the two digits in the sequence, there are a total of 10 x 10 = 100 possible outcomes.
Now, we need to determine the number of outcomes where both digits are different. There are 10 possible choices for the first digit and only 9 possible choices for the second digit, since we cannot choose the same digit as the first. Therefore, there are a total of 10 x 9 = 90 outcomes where both digits are different.
The probability of both digits being different is equal to the number of outcomes where both digits are different divided by the total number of possible outcomes. Thus, the probability is 90/100, which simplifies to 9/10, or 0.9.
In summary, the probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10. This means that there is a high likelihood that both digits selected will be different.
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It takes Lily 75 minutes to mow the lawn. When she works with her brother, Preston, it takes only 30 minutes. How long would it take Preston to mow the lawn himself
Answers
Answer: I think this one would be 60minutes and 30 sec
Step-by-step explanation:
For f(x)=6x and g(x)=x^4, find the following. (a) (f+g)(x) (b) (f−g)(x) (c) (f⋅g)(x) (d) (f/g)(x) ,x not equal to 0
Answers
The required functions are:
(a) (f+g)(x) = f(x) + g(x) = 6x + x⁴
(b) (f-g)(x) = f(x) - g(x) = 6x - x⁴
(c) (f⋅g)(x) = f(x) g(x) = 6x x⁴ = 6x⁵
(d) (f/g)(x) = f(x) / g(x) = (6x) / (x⁴) = 6x⁻³, where x is not equal to 0.
The given function is,
f(x)=6x
g(x)=x⁴
(a) (f+g)(x) = f(x) + g(x)
Substituting the given functions for f(x) and g(x), we have:
(f+g)(x) = f(x) + g(x) = 6x + x⁴
So, (f+g)(x) = 6x + x⁴
(b) (f-g)(x) = f(x) - g(x)
Substituting the given functions for f(x) and g(x), we have:
(f-g)(x) = f(x) - g(x) = 6x - x⁴
So, (f-g)(x) = 6x - x⁴
(c) (f⋅g)(x) = f(x) * g(x)
Substituting the given functions for f(x) and g(x), we have:
(f⋅g)(x) = f(x) g(x) = 6x x⁴
Using the exponent rule that \(a^m a^n = a^{(m+n)\),
We can simplify the expression as:
(f⋅g)(x) = 6x x⁴ = 6\(x^{(1+4)\) = 6x⁵
So, (f⋅g)(x) = 6x⁵
(d) (f/g)(x) = f(x) / g(x)
Substituting the given functions for f(x) and g(x), we have:
(f/g)(x) = f(x) / g(x) = (6x) / (x⁴)
Using the exponent rule that \(a^m / a^n = a^{(m-n)\),
we can simplify the expression as:
(f/g)(x) = (6x) / (x⁴) = 6\(x^{(1-4)\) = 6x⁻³
However, we should note that this expression is undefined when x=0, because we cannot divide by 0.
So, the domain of this function is x ≠ 0.
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which variables are basic and which variables are nonbasic in this tableau? what basic variables are associated with rows 1, 2, and 3 of this tableau? what are the values of all the variables associated with this basic feasible solution?
Answers
In this simplex tableau, x₄, x₅, and z are the basic variables, while x₁, x₂, x₃, x₆, x₇, and x₈ are the nonbasic variables. The values of all the variables associated with this basic feasible solution are x₁ = 0, x₂ = 0, x₃ = 0, x₄ = 620, x₅ = 12, x₆ = 0, x₇ = 0, x₈ = 0, and z = 620.
In this tableau, the basic variables are x₄, x₅, and z, while the nonbasic variables are x₁, x₂, x₃, x₆, x₇, and x₈.
The basic variable associated with row 1 is x₄, the basic variable associated with row 2 is x₅, and the basic variable associated with row 3 is z.
The values of all the variables associated with this basic feasible solution are:
x₁ = 0, x₂ = 0, x₃ = 0, x₄ = 620, x₅ = 12, x₆ = 0, x₇ = 0, x₈ = 0, z = 620.
Note that these values correspond to the entries in the tableau in the "BV" column.
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The missing tableau is in the image attached below
A soft drink vendor at a popular beach analyzes his sales records and finds that if he sells xcans of soda pop in one day, his profit (in dollars) is given by P(x) 0.001x2 3x 1800 What is his maximum profit per day, and how many cans must he sell to reach the maximum profit?
Answers
The soft drink vendor's maximum profit per day is $5250, and he must sell 1500 cans of soda pop to reach the maximum profit.
To find the maximum profit per day for the soft drink vendor, we need to use the formula P(x) = 0.001x^2 + 3x + 1800, where x is the number of cans of soda pop sold in one day.
To find the maximum profit, we need to find the vertex of the parabola represented by the profit function. The x-coordinate of the vertex is given by -b/2a, where a = 0.001 and b = 3. Plugging in these values, we get x = -3/(2*0.001) = -1500.
Since the soft drink vendor cannot sell a negative number of cans, we know that the maximum profit occurs at the closest whole number to x = -1500, which is x = 1500.
To find the maximum profit per day, we can plug in x = 1500 into the profit function:
P(1500) = 0.001(1500)^2 + 3(1500) + 1800 = $5250
Therefore, the soft drink vendor's maximum profit per day is $5250, and he must sell 1500 cans of soda pop to reach the maximum profit.
To find the maximum profit per day and the number of cans needed to reach that profit, we'll first need to find the critical point of the given quadratic profit function, P(x) = -0.001x^2 + 3x - 1800.
Step 1: Find the derivative of P(x) with respect to x. This will give us the rate of change of profit as the number of cans sold changes.
P'(x) = -0.002x + 3
Step 2: Set the derivative equal to zero and solve for x. This will give us the critical point where the maximum profit occurs.
-0.002x + 3 = 0
x = 1500 cans
Step 3: Substitute the critical point (x = 1500) back into the profit function P(x) to find the maximum profit.
P(1500) = -0.001(1500)^2 + 3(1500) - 1800
P(1500) = $600
So, the maximum profit per day is $600, and the soft drink vendor must sell 1500 cans to reach the maximum profit.
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The maximum profit per day is $4800, and the vendor must sell 1500 cans of soda pop to reach this maximum profit.
The profit function for the soft drink vendor is given by:
P(x) = \(0.001x^2 + 3x + 1800\)
To find the maximum profit, we need to find the vertex of the parabola represented by this function. The x-coordinate of the vertex can be found using the formula:
x = -b / (2a)
where a = 0.001 and b = 3. Substituting these values, we get:
x = -3 / (2 * 0.001) = -1500
Since the value of x cannot be negative in this context, we know that the maximum profit occurs at x = 1500. To find the maximum profit, we substitute this value of x into the profit function:
P(1500) =\(0.001(1500)^2 + 3(1500) + 1800 = $4800\)
Therefore, the maximum profit per day is $4800, and the vendor must sell 1500 cans of soda pop to reach this maximum profit.
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How do you find how many times greater something is in scientific notation
Answers
Answer: The number it is a power too
To determine how many times greater something is in scientific notation, you need to compare the exponents of the numbers and calculate the ratio between them.
In scientific notation, a number is expressed as the product of a coefficient (a decimal number between 1 and 10) and a power of 10. The exponent represents the number of places the decimal point has been moved.
To find how many times greater one number is than another, you compare the exponents of the powers of 10. If the exponent of the first number is n and the exponent of the second number is ᵃ, you can calculate the ratio by dividing 10ⁿ by 10ᵃ.
The result of this division will give you the factor by which the first number is greater than the second number. For example, if the result is 100, it means the first number is 100 times greater than the second number.
In summary, to determine how many times greater something is in scientific notation, compare the exponents of the powers of 10 and calculate the ratio between them.
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For class 6 a)a square can be taught of as a special rectangle. b)a rectangle can be thought of as a special parallelogram. c)a square can be thought of as a special rhombus. d) squares , rectangles , parallelograms are all quadrilaterals. e) square is also a parallelogram. please answer fast
Answers
Correct statements are:
a) A square can be thought of as a special rectangle.
d) Squares, rectangles, and parallelograms are all quadrilaterals.
e) A square is also a parallelogram.
Incorrect statements are:
b) A rectangle cannot be thought of as a special parallelogram. A rectangle is a special type of quadrilateral, but it does not have the same properties as a parallelogram.
c) A square cannot be thought of as a special rhombus. While a square is a special type of rhombus, not all rhombuses are squares.
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charles shops at an upscale clothing store. he has been three times this month and each time has noticed a sweater. today, he goes in and finds that he likes this sweater more than he did the first time he saw it. he decides to buy it. what explains charles's increased preference for this sweater?
Answers
The simple "exposure effect" explains why Charles now prefers this sweater more than before.
Define the term exposure effect?Our propensity to form preferences for things only if we are accustomed with them is known as the mere exposure effect.
It also goes by the name of the familiarity principle for this reason.Making poor choices can be a result of the exposure effect alone. Making wise judgments involves weighing all viable options according to their efficacy rather than familiarity.The stated condition is-
Charles purchases apparel from a high-end retailer. He has been there three times during this month and has seen a sweater each time. He enters today and discovers that he now likes that sweater further than he did when he initially saw it. He chooses to purchase it.Thus, the simple "exposure effect" explains why Charles now prefers this sweater more than before.
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Solve 12/y = 4/3
Solution is____
Answers
Answer:
y=9
Step-by-step explanation:
12/y=4/3
3×12/y=3×4/3
36/y=4
y×36/y= 4×y
36=4y
36/4=4y/4
9=y
whats the answer jjjjjjjjjjjjjjjjjjjjjjjjjjj
Answers
Answer:
29.8258
rounded is 30
d+200=95 tried to find the answer but I couldnt:( I need help
Answers
Answer:
d= -105
Step-by-step explanation:
Subtract 200 from 95.
Answer:
D = 105
Step-by-step explanation:
If you subtract 95 from 200 you would get D which equals 105. :) Hope this helped!
The equation of the graphed line is 2x – y = –6.
A coordinate plane with a line passing through (negative 3, 0) and (0, 6).
What is the x-intercept of the graph?
–3
–2
2
6
Answers
The x-intercept for the given equation is x = -3.
Given is an equation 2x-y = -6, we need to find the x-intercept for the line,
So the x-intercept of a line is the point where it cuts the x-axis,
To find the x-intercept we will put y = 0,
So,
2x - 0 = -6
2x = -6
x = -3
Or, you can just see the points from which it is passing the x-values will be the x-intercept,
Hence the x-intercept of the line is x = -3.
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a 9 foot ladder is placed 4 feet from the base of a building.about how high does the ladder reach
Answers
Answer:
8.06 feet
Step-by-step explanation:
use the Pythagorean theorem
9^2 = 4^2 + x^2
81 =16 +x^2
x^2 = 65
x = 8.06 feet
if i do a regression based on the standardized data and get coefficient, how can i interpret the coefficient using the unstandardized unit if i know the mean and sd.
Answers
The predicted income increases by $2,500, holding all other variables constant.
To interpret a regression coefficient based on standardized data using unstandardized units, you need to use the formula for converting standardized coefficients to unstandardized coefficients:
B(unstandardized) = B(standardized) * (SDY/SDX)
where B(unstandardized) is the unstandardized coefficient, B(standardized) is the standardized coefficient, SDY is the standard deviation of the dependent variable, and SDX is the standard deviation of the independent variable.
Once you have calculated the unstandardized coefficient, you can interpret it using the units of the original variables. For example, if you are predicting income (in dollars) based on education level (measured in years of schooling), and the regression coefficient for education level is 0.5 (standardized), and the mean income is $50,000 and the standard deviation is $10,000, and the mean education level is 12 years and the standard deviation is 2 years, then the unstandardized coefficient is:
B(unstandardized) = 0.5 * (10,000/2) = 2,500
This means that for every additional year of education, the predicted income increases by $2,500, holding all other variables constant.
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number (√12+√10-√2) is?
a) an irrational number
b) equal to zero
c) positive rational number
d) negative number
Answers
c...................
Find the value of that makes m
||
n.
m
n
xº
2xº
Answers
This is because 2x is on one side while x is on the other, if those two angles add up they must add up to 180 because the two angles form a 180 degree angle or just a straight line
2x + x = 180
3x = 180
x = 60
A van travels 125 miles on 5 gallons of gas. Find the distance the van can travel if the fuel tank contains 12 gallons of gas???
Answers
Answer:
300 miles
Step-by-step explanation:
125/5 = 25 mpg
12 x 25 = 300 miles
All of the following explain the importance of the War of 1812 except.
A. It clearly established itself as an independent nation on the world stage.
B. Andrew Jackson emerged a war hero and fueled American nationalism.
C. It was a decisive victory for the Americans against the British.
D. it ended the Federalist party.
(Sorry I put it in the wrong subject.)
Answers
Answer: is B
Step-by-step explanation: its not A bc it had an impact in the future and its not C bc the Americans had been losing lots of battles against the British and its not D for the same reason as its not A hope this helps
PLEASE HELP !
3⋅f(−4)−3⋅g(−2) ???
Answers
Answer: −12f+6g
Step-by-step explanation:
Can someone help with this?
Answers
Answer:
(a) is 8 x 7 x 3 = 168
(b) is 8 x 7 = 56
(b2) is weird I don't know what it's asking
Answer:
FOR LETTER A
Volume of prism (expression) = Length x Width/Breadth x Height
Volume of prism (expression) = 8 units x 7 units x 3 units = 168 cubic units
FOR LETTER B
Area of the shaded base = 8 x 7 = 56 square units
Volume of prism = Area of the shaded base x Height
Volume of prism = 56 square units x 3 units = 168 cubic units
Step-by-step explanation:
To find the volume of rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.
Volume of rectangular prism = length × width × height
To get the area of the shaded base, when the base is in rectangular shape:
Definition: Area of rectangle is the region occupied by a rectangle within it's four sides or boundaries.
The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area. But in the case of a square, since all the sides are equal, therefore, the area of the square will be equal to the square of side-length.
Area of rectangle = Length × Breadth
A = l × b
Square Roots and Cube Roots - Tutorial - Level H
Pepper Jackie has 225 square inches for the area for her square mosaic.
How can she figure out how long each side should be?
Area of a Square
A= 225 in.
S
S
Find the positive square
root of 225.
Divide 225 by 4.
Divide 225 by 2.
She doesn't have enough
information to do this.
Answers
Answer:
s = 15 in (positive square root of 225)
Step-by-step explanation:
A = 225 in²
side of square mosaic is sq. root of 225 = 15 in
therefore the side (s) = 15 in