Answer:
12. m = 1/3
14. m = 5/6
16. m = -5/2
Step-by-step explanation:
m = y2-y1/x2-x1
when the increase in demand is greater than the decrease in supply, the equilibrium price _____ and the equilibrium quantity _____.
Answer:
increasedeacreasesWhen the increase in demand is greater than the decrease in supply, the equilibrium price rises and the equilibrium quantity increases.
What is economic equilibrium?
Economic equilibrium, as used in economics, is a state in which forces such as supply and demand are in balance and where, in the absence of external influences, the values of economic variables will remain constant.
The equilibrium quantity rises if the rise in demand outweighs the fall in supply. The equilibrium quantity falls if the rise in demand is smaller than the fall in supply. Equilibrium price rises in each scenario.
The supply and demand curves move in opposition to one another. However, the supply curve shifted to the left while the demand curve shifted to the right (signalling a rise in demand) (indicating a decrease in supply).
In the case increase in demand > decrease in supply
In this instance, the supply curve's leftward movement is proportionally less than the rightward change of the demand curve. So, the price and the equilibrium quantity both increase.
Therefore, the equilibrium price and quantity increases.
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what three statements about bias are true
Bias results from random variation and will always be present, while bias results from samples that do not represent the population. Bias can usually be reduced when the sample size is larger.
Bias is an error that occurs in statistical studies when the results are not representative of the true population. Bias can occur when the sample size is too small, or when the sample does not accurately reflect the population. This means that even if the study is perfectly designed, bias will still exist. Additionally, bias can result from samples that do not represent the population. For example, if a study is conducted on a population that is predominantly male, then the results may be biased towards male behavior. Finally, bias is usually reduced when the sample size is larger. This is because a larger sample size provides for more accurate results, as there is less of a chance that random variation will affect the data. Therefore, increasing the sample size is a helpful way to reduce bias in a study.
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what is the answer to the problem x2 -8x+4=0
The solutions to the equation is 4 ± 2√3
How to solve the equationThe equation x^2 - 8x + 4 = 0 is a quadratic equation.
To find the solutions, we can use the quadratic formula or factor the equation.
Using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
where a = 1, b = -8, c = 4
Plugging in the values:
x = (-(-8) ± √((-8)^2 - 4 * 1 * 4)) / 2 * 1
x = (8 ± √(64 - 16)) / 2
x = (8 ± √(48)) / 2
x = (8 ± 4√(3)) / 2
Divide
x = 4 ± 2√3
So the solutions to the equation are 4 ± 2√3
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Determine whether an observational study or an experimental study is used.A survey of high school students was conducted to see if students who take advanced classes are offered more scholarship money than students who do not take advanced classes
It is used the observational study. A survey of high school students was conducted to see if students who take advanced classes are offered more scholarship money than students who do not take advanced classes
Now, According to the question:
"Information available from the question"
A survey of high school students was conducted to see if students who take advanced classes are offered more scholarship money than students who do not take advanced classes
Statisticians often refer to the "levels of measurement" of a variable, a measure, or a scale to distinguish between measured variables that have different properties. There are four basic levels: nominal, ordinal, interval, and ratio.
In an observational study, we measure or survey members of a sample without trying to affect them. In a controlled experiment, we assign people or things to groups and apply some treatment to one of the groups, while the other group does not receive the treatment.
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Please help trying to answer it can be with or without step with step
Tom's brother saw an advertisement for a special at Muscle Fitness. Membership is $15
monthly, with a mandatory additional $100 charge for equipment maintenance.
Tom saw on television that Platinum Gym was having a grand opening in a few months.
Tom is considering a membership at Platinum Gym. Platinum Gym charges a one-time
registration fee of $60, and membership is $20 a month.
Tom's brother tells him that the Muscle fitness deal is better than the one offered by
Platinum Gym. Is he correct?
(a) Write an expression to represent the membership cost of Muscle Fitness for x
months.
(b) Write an expression to represent the membership cost of Platinum Gym for x
months.
(b) At what month will both memberships cost the same overall? Show your work. (2
points for showing work, 1 point for the answer)
I followed you since I could not find the awnser I hope thats okay
Root 3 (root 3 - 1) expand and simplify the following.
The simplification of the expression gives 3 + √3
How to simplify a surd expression?Simplification of an expression is defined as a way of writing an expression in the most efficient and compact form without affecting the value of the original expression
Surds are represented by square roots of non-perfect squares and are expressed using the radical symbol (√). For example, √2 is a surd, as it cannot be expressed as a finite decimal or a fraction.
√3(√3 - 1) = (√3)*√3 + (√3)*1
= 3 + √3
Therefore, the expression can be simplified as 3 + √3
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Drag the amounts to order them from greatest to least.
1 qt≈0.95 L
1 gal = 4 qt
1 qt = 2 pt
a. 3.8 pt
b. 0.6 gal
c. 1.9 L
The correct way to order these amounts from greatest to the least is 0.6 gal, 1.9 L, and 3.8 pints.
How to determine which amount is the greatest and which one is the least?To determine this, the best is to use the same units for all the amounts, in this case, I will convert everything to liters.
Pints to liters:
1 pt = 0.47 l
3.8 pt = x
x= 3.8 x 0.47 = 1.78 liters
Gallons to liters:
1 gal = 3.78
0.6 gal = x
3.78 x 0.6 = 2.27 liters
Based on this, the correct way to order the amount is 0.6 gallons, 1.9 liters, and 3.8 pints.
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there are 8 people hosting a party. one person must set up the catering, another must bring flowers, and a third must bring the drinks. in how many ways can these tasks be assigned?
The total number of permutations of the three tasks: 336 x 3! (3 factorial) = 40320
How many ways can these tasks be assigned?This question uses the combination and permutation theory. Combinations are used to calculate the total number of ways to assign the three tasks to the 8 people, and permutations are used to multiply the total number of ways to assign the three tasks by the total number of permutations of the three tasks.
given below :
1. Calculate the total number of ways to assign the three tasks to the 8 people: 8 x 7 x 6 = 336
2. Multiply the total number of ways to assign the three tasks by the total number of permutations of the three tasks: 336 x 3! (3 factorial) = 40320
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Let f ( x ) = 2 √ x If g ( x ) is the graph of f ( x ) shifted down 3 units and left 4 units, write a formula for g ( x )
The required formula for given transformation is 2√(x - 4) - 3.
What is graphing?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
According to question:The formula for the function g(x) can be found by applying the transformations to f(x):
Shift down 3 units: g(x) = f(x) - 3
Shift left 4 units: g(x - 4) = f(x) - 3
So, the formula for g(x) is:
g(x) = f(x - 4) - 3
= 2√(x - 4) - 3.
Thus, required formula is 2√(x - 4) - 3.
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Saw a board 8 ft 4 in. long into nine equal pieces. If the loss per cut is in., how long will each piece be?
The jug shown below contains some water.
How many litres of water does this jug contain?
300 ml
250 ml
•200 ml
150 ml
100 ml
50 ml. But it is between 150ml and 100ml. Answer pls
0.125 liter of water this jug contain it is between 150ml and 100ml.
A jug of water contains how many liters?The conversion of 1 jug (beer jug) into a volume and capacity measure equals 1.14 liters, according to its commonly used equivalent volume and capacity unit type measure.
How is the volume of a liter determined?Three dimensions need to be taken into account in order to determine the round water tank's liter capacity. The length, breadth, and height make up those three dimensions. Let B, W, and H stand for length, width, and height, respectively. As a result, 240 x 28.31 = 6794.4 liters will be the tank's total volume in liters.
That given jug contain some water
Quantity of water is 125ML
1000ml = 1Liter
125ml = 0.125Liters.
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HELP! I really need help becaue we are learning tuff like 5. 68 to the power of 9 and tuff. What i the anwer to 5. 6 to the power of 6?
The answer to 5.6 to the power of 6 is 95,788.67.
According to the question
The result of multiplying 5.6 by itself 6 times is expressed as 5.6 to the power of 6. In this situation, the number 5.6 is being exponentiated, which is a mathematical process that elevates a number to a specified power, which is the power of six. This formula yields an actual number, which is the result of multiplying 5.6 by 6 times. Both a calculator and manual multiplication may be used to figure this out. The outcome of this computation is represented numerically as 95,788.67, which represents the value that is achieved when the number 5.6 is multiplied by itself six times.
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The answer to 5.6 to the power of 6 is 95,788.67.
According to the question
The result of multiplying 5.6 by itself 6 times is expressed as 5.6 to the power of 6. In this situation, the number 5.6 is being exponentiated, which is a mathematical process that elevates a number to a specified power, which is the power of six. This formula yields an actual number, which is the result of multiplying 5.6 by 6 times. Both a calculator and manual multiplication may be used to figure this out. The outcome of this computation is represented numerically as 95,788.67, which represents the value that is achieved when the number 5.6 is multiplied by itself six times.
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A library has 500 books. There were history, maths and science books. The ratio of the history to maths
to science books is 2:3:5. If 20 history, 40 maths, and 10 science books were added in the library,
find the new ratio of the history to the maths to the science books.
Pls help
Answer:
The new ratio of the history to the maths to the science books would be 22:43:55. With the addition of 20 history, 40 maths, and 10 science books, the total number of books in the library is now 570. The new ratio of the history to the maths to the science books is therefore 22:43:55.
Step-by-step explanation:
Select all true statements below.
7y+2x+5
1. 5 Is a constant
2. 7y is a coefficient
3. 7y+2x+5 is written as a sum of three terms
4. 7y is a factor
5. 7y and 5 are like terms
6. None of these are true
Step-by-step explanation:
1. true
5 is a constant (term).
2. false
7y is not a coefficient. 7 is the coefficient for that y-term.
3. true
7y + 2x + 5 is the sum of 3 terms.
4. false
7y is not a factor. it would have to be multiplied to something else to be a factor for that something else.
5. false
they would be like terms, if both were constants, or both contained y.
6. false
what is the complex conjugate of vector a ?
If the vector a = x + iy, then the complex conjugate of vector a is x - iy where x is the real part and b is the imaginary part.
A number that may be expressed as (a + ib), where a denotes the real component, b denotes the imaginary part, and I denotes a fictitious number called iota, which is equivalent to the root of -1. In mathematics, a conjugate is created by flipping the sign of one of a binomial's terms.
A complex number's reflection about the horizontal axis (real axis) on Arcand's plane is represented by the conjugate of that complex number.
Another definition of a complex conjugate or conjugate of a complex number is a complex number having the same real component as the original number and the opposite sign of the imaginary part while maintaining the same magnitude, i.e., the original complex number's 'i' changes to the conjugate's '-i'.
Let a = x + iy
Complex conjugate of a is
a* = x - iy
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PLEASE HURRY TEST QUESTION LIMITED TIME!!
Question- The equation x^2 + y^2 - 4x + 2y= b , describes a circle
(PART A) Determine the y coordinate of the center of the circle
(PART B) The radius of the circle is 7 units. What is the value of b in the equation?
The y coordinate of the center of the circle is k=-1 and The radius of the circle is 7 units, the value of b in the equation is 49.
What do you mean by circle?A circle is a two-dimensional, symmetrical figure in mathematics. The circle's center is a place inside the circle from which all points on the circle's edge are equally far.
The radius of the circle, abbreviated "r," is the distance from the center of the circle to a point on its edge.
The diameter of the circle, which is the greatest chord of any circle, is equal to the circle's doubled radius.
2 Radius times diameter Half of the circle is represented by the semicircle, and one-fourth by the circle's quadrant.
(PART A) To determine the y-coordinate of the center of the circle, we need to complete the square for both x and y. The equation can be transformed to the standard form for a circle: (x-h)² + (y-k)² = r², where (h,k) is the center of the circle and r is the radius.
First, complete the square for x:
x² - 4x + 4 = 4 + (x² - 4x)
x² - 4x + 4 + 4 = 4 + (x² - 4x) + 4
(x-2)² = (x² - 4x + 4) + 4
Next, complete the square for y:
y² + 2y + 1 = 1 + (y² + 2y) + 1
(y+1)² = (y² + 2y) + 1
Now, substitute the completed squares back into the original equation:
(x-2)² + (y+1)² = b
So, the y-coordinate of the center is k = -1.
(PART B) The radius of the circle is 7 units, so r = 7. Substitute this value and the coordinates of the center into the standard form of the equation:
(x-2)² + (y+1)² = 49
Finally, simplify to find the value of b:
b = 49.
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suppose that the point (x, y) is in the indicated quadrant. decide whether the given ratio is positive or negative. recall that in quadrant i, is positive or negative?
Assuming the point (x, y) is in the indicated quadrant, the given ratio are as follows;
Quadrant II, x/y is a negative ratio.
Quadrant III, y/x is a positive ratio.
What is a quadrant?In Mathematics, a quadrant can be defined as the area that is occupied by the values on the x-coordinate (x-axis) and y-coordinate (y-axis) of a cartesian coordinate.
This ultimately implies that, there are four (4) major quadrants in any graph and these include the following:
Quadrant I: both x and y are positive.Quadrant II: x is negative while y is positive.Quadrant III: both x and y are negative.Quadrant IV: x is positive while y is negative.Now, we can determine the whether the given ratios are positive or negative:
Quadrant II, x/y = -x/y (negative ratio).
Quadrant III, y/x = -y/-x (positive ratio).
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Which measures of central tendency would be affected if the outlier 11 was added to the following set? Thank you to whoever answers this.
27, 20, 34, 37, 21, 42, 39
A mean, median, and mode
B mean and mode
C mean and median
D mean only
Mean and median measures of central tendency would be affected if the outlier 11 was added to the data set.
As per the given data, the data set is 27, 20, 34, 37, 21, 42, and 39.
Mean of the data is the sum of all observations divided by the total number of observations.
Mean = [tex]$\frac{27+20+ 34+ 37+ 21+ 42+ 39}{7}[/tex]
Mean = [tex]$\frac{220}{7}[/tex]
Mean = 31.42
The median of the data for an odd number of observations is the middlemost term.
First, arrange the data in ascending order.
20, 21, 27, 34, 37, 39, 42
Middlemost term = 34.
The mode of the data is the most repeated data.
As no number is repeated there will be no mode.
As given 11 is added to the data set.
Mean = [tex]$\frac{27+20+ 34+ 37+ 21+ 42+ 39+11}{8}[/tex]
Mean = [tex]$\frac{231}{8}[/tex]
Mean = 28.8
The median of the data for an even number of observations is the average of the middle two terms.
First, arrange the data in ascending order.
11, 20, 21, 27, 34, 37, 39, 42
Median = [tex]$\frac{27+34}{2}[/tex]
Median = [tex]$\frac{61}{2}[/tex]
Median = 30.5
For the new data set also there will be no mode as there are no repeated numbers.
Comparing old and new values there is a change in the values of mean and median.
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[tex]z^{9} x z^{6} / z^{7}[/tex]
Step-by-step explanation:
when multiplying factors of the same base, we can simply add the exponents.
when dividing, we subtract.
so,
z⁹xz⁶/z⁷ = xz^(9+6-7) = xz⁸
What is the value of the expression below? 0.72 ÷ 0.6^2 × 2
Answer: 5.5
Step-by-step explanation:
0.72÷[tex]0.6^{2*2}[/tex]
Simplify the 2*2 to 4
0.72÷[tex]0.6^{4}[/tex]
[tex]0.6^{4}[/tex]=0.1296
0.72÷0.1296=5.555555556
5.555555556 can be rounded to 5.5
0.72÷[tex]0.6^{2}[/tex] x 2 on the other hand is 4 -- sorry I can't really see if it's both 2's as exponents or not
0.6^2=0.36
0.72÷0.36×2=4
Find the length of segment EF
The coordinates of A= are also (-3,4). The answer to the query is determined by the coordinates of the second endpoint B. (x, y). The midpoint's coordinates can be calculated using the formula below:
What is meant by coordinate?A point or shape's location in a two-dimensional plane can be found using coordinates, which are a pair of numbers. The terms "x-coordinate" and "y-coordinate" are used to define a point's location on a 2D plane. Coordinates are always stated in brackets with a comma separating the two numbers. Coordinates are ordered pairs of numbers where the first number represents the point on the x axis and the second number represents the point on the y axis.The following are b's coordinates: B= (-7,-8) (-7,-8)
We are given the midpoint's coordinates as M= (-5,-2).
Furthermore, A='s coordinates are (-3,4). The solution to the question depends on the coordinates of the second endpoint B.
the coordinates of B (x, y). The following formula can be used to determine the midpoint's coordinates:
[tex]$& x_m=\frac{x_a+x_b}{2} \\[/tex]
[tex]$& y_m=\frac{y_a+y_b}{2}[/tex]
We know xa = -3 and xm = -5. Solve the first equation for x b :
[tex]$2 x_m=x_a+x_b \Rightarrow x_b=2 x_m-x_a[/tex]
Substituting:
[tex]$& x_b=2 \cdot(-5)-(-3)=-10+3 \\[/tex]
[tex]$& x_b=-7[/tex]
We can solve the second equation for xb and get:
[tex]$y_b=2 y_m-y_a[/tex]
Since ya = 4 and ym = -2, then:
[tex]$& y_b=2 \cdot(-2)-(4)=-4-4 \\[/tex]
[tex]$& y_b=-8[/tex]
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A Parabola is graphed below. What is the vertex form of the parabola?
A. y=( x - 3 )² + 5
B. y= -5 ( x - 2 )² - 3
C. y= 3 ( x - 2 )² - 5
D. y= -1 ( x - 3 )² + 5
The graphed quadratic equation, in vertex form, is:
y = 3*(x - 2)^2 - 5
So the correct option is C.
What is the vertex form of the parabola?Remember that for a quadratic equation with a leading coefficient a and a vertex (h, k), the vertex form is:
y = a*(x - h)^2 + k
Here we can see that the vertex is at the point (2, -5), replacing that we will get:
y = a*(x - 2)^2 - 5
We also can see that the parabola passes through (0, 7), then we can replace that to get:
7 = a*(0 - 2)^2 - 5
7 = 4a - 5
7 + 5 = 4a
12/4 = a
3 = a
The quadratic equation is:
y = 3*(x - 2)^2 - 5
The correct option is C.
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How to Calculate the Volume of a Cube: Formula & Practice ?
Volume = a3, where an is the length of the cube's sides or edges, is how you can calculate the volume of a cube.
How do you determine a cube's volume? The Volume Calculator.Multiplying the length, breadth, and height yields the volume calculation formula.The fact that each of these measurements for a cube has the exact same measurement is good news.Any side's length can therefore be multiplied by three.Volume = side * side * side follows from this.Volume = a3, where an is the length of the cube's sides or edges, is how you can calculate the volume of a cube.By multiplying the edge value by itself three times, one can determine the volume of a cube.For instance, if an edge is 5 inches long, the volume is 53.Remember that a cube's volume and all of its corners are the same size.To learn more about volume of a cube refer
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What is 19 °C in °F?
Answer: 66.2°F
Step-by-step explanation: (19°C × 9/5) + 32 = 66.2°F
Answer is 66.2°F.
How to calculate 19 °C in °F?
The base formula for this c to f converter is
Fahrenheit = (19 °C x 9/5) + 32
= 66.2°F
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Find the scale factor of Figure A to Figure B.
A- 5:9
B- 7:18
C- 9:5
D- 18:7
The scale factor of Figure A to Figure B is A- 5:9
How to determine the scale factorFrom the question, we have the following parameters that can be used in our computation:
Figure A and Figure B
The scale factor of Figure A to Figure B is calculated as
Scale factor = Figure B : Figure A
Substitute the known values in the above equation, so, we have the following representation
Scale factor = 20 : 36
Evaluate
Scale factor = 5 : 9
Hence, teh scale factor is 5 : 9
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A crypto investment halves every 2 days. Is this an example of an increasing or decreasing relation?
How much will their investment be worth after 6 days if the account had $500 to begin with?
Answer: Decreasing, if it "Halves (cuts in half)". If it was increasing, it would probably say double.
Step-by-step explanation:
So, if it was being cut in half every two days, we would only be counting days 2, 4, and 6.
So days 2, it would be cut in half, and go from 500 to 250. Day 4, it would go from 250 to 125. The day 6, it would go from 125 to 62.5.
In 6 days, the investment will be worth $62.50
a triangle has sides with lengths of 33 kilometers, 72 kilometers, and 78 kilometers. is it a right triangle?
This triangle is not a right triangle because the sum of the squares of the two smaller sides is not equal to the square of the largest side.
To determine if a triangle is a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two smaller sides is equal to the square of the largest side.
In this case, we can compare the squares of the sides with lengths of 33 km and 72 km, and the square of the side with length 78 km:
33^2 + 72^2 = 5184 + 5184 = 10368
78^2 = 6084
Since 10368 is not equal to 6084, we can conclude that this triangle is not a right triangle.
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Valeria drew a scale drawing of a house and its lot. The scale of the drawing was
12 centimeters : 7 meters. The actual length of the front patio is 21 meters. How long is the
patio in the drawing?
centimeters
The length of the patio in the drawing, according to the scale of the drawing of 12 cm : 7 m, is 36 cm.
A scale is defined to be the ratio between the size of a given original object and a new object, which is its representation but is either smaller or bigger. It refers to the relative size of an object. Sometimes it is called a scale factor.
We are given a scale of the drawing of 12 cm : 7 m. Also, the actual length of the front patio is 21 m. To find the length of the patio in the drawing, we'll use algebra.
First, we write an equation that contains the scale of the drawing and the ratio of the actual length of the front patio to the length of the patio in the drawing, which is unknown still so we use a variabel x:
12 cm / 7 m = x / 21 m
Note that we're asked to find the length of the patio in the drawing in centimeters, so we'll then need to convert from meters to centimeters. Remember that 1 meter is defined to be equal to 100 centimeters.
12 cm / (7 · 100) = x / (21 · 100)
12 cm / 700 cm = x / 2,100 cm
Finally, let's solve for x.
12 / 700 = x / 2,100
3 / 175 = x / 2,100
6,300 = 175x
175x = 6,300
x = 36
Since x = 36 and it represents the length of the patio in the drawing, it then is equal to 36 centimeters.
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I need help with my homework
Answer:
Step-by-step explanation: First you need to know the powers, the power of a number says how many times to use the number in a multiplication. Therefore, you should be able to multiply that by ur number.