a. The two numbers whose product is 24 and whose sum is 14 are 6 and 4
b. 14x = 6x + 8x
c. 8x²2² + 6x + 8x + 3
=8x²2² + (6x + 8x) + 3
=8x²2² + 14x + 3
The trinomial 8x²2² + 14x + 3 can be factored by grouping as (8x²2² + 14x) + 3
there are four balls in a bag, but it is not known of what colours they are ; one ball is drawn and found to be white : find the chance that all the balls are white.
So the chance of drawing a white ball in the first draw is 1/4 and the chance that all the balls are white is the same.
What is the straightforward meaning of probability?
A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
If one ball is drawn and found to be white, and it is not known of what colors the other balls are, the probability that all the balls are white is 1/4 or 25%. This is because there is only one outcome where all the balls are white (all four balls are white) out of the four total possible outcomes (all four balls are white, three are white and one is not, two are white and two are not, one is white and three are not, and none are white). So the chance of drawing a white ball in the first draw is 1/4 and the chance that all the balls are white is the same.
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ron ate 2/5 of a pie, carolyn ate 3/10 of the same pie. how much of the pie is left
Answer: 3/10
Hope this helps :)
Step-by-step explanation:
2/5= 4/10
4/10 + 3/10= 7/10
3/10 of the pie is left
Squaroot of p^10 where p>0
Answer:
p^5
Step-by-step explanation:
p^10/2=p^5
How is a thermometer different than a number line
Answer:
A thermometer is different than a number line because a thermometer goes from the bottom up with a minimum count. As a number line goes both ways with a pointer indicating where the point stands on either side.
Step-by-step explanation:
X=4y 4y+X=24 what the answer
x= 12, y= 3 answer for the equation
x= 4y equation 1
4y +x= 24 equation 2
Substituting the value of x in the equation 2
4y +4y = 24
8y= 24
y= 24/8
y= 3
Now putting the derived value of y in equation 1
x=4y
x= 4*3
x= 12
y= 3
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what is the slope through the line of (9, 10) and (7, 2)
The slope of a line is calculated as the change in the y-coordinates (rise) divided by the change in the x-coordinates (run). Using the coordinates (9, 10) and (7, 2), we can calculate the slope as:
(10 - 2) / (9 - 7) = 8 / 2 = 4
So, the slope through the line of (9, 10) and (7, 2) is 4.
What equation(s) represent the vertical asymptote(s) of the graph of y = 1/x^2 -4? J) x= -4 and x =4 K) x= -2 and x =2 L) x= 0 only M) x= 2 only N) x= 4 only
The denominator of the function, n(x), is the place where vertical asymptotes can be located. If the numerator, t(x), is not zero for the same value of x, then the vertical asymptotes can be determined by solving the equation n(x) = 0 where n(x) is the denominator.
How to find the calculation?Despite not being a part of the function graph, a vertical asymptote is a vertical line that serves as a guide.
It happens at an x-value that is outside the function's domain, therefore the graph can never cross it.
1/x^2 -4
Domain of 1/x² - 4 :
Solution : x < -2 or -2 < x < 2 or x > 2
Interval Notation ; ( -∝ , -2) ∪ (-2 ,2) ∪ (2 , ∝).
Range of 1 / x² - 4 :
Solution : f(x) ≤ - 1/4 or f(x) > 0
Interval Notation : ( -∝ , - 1/4) ∪ (0,∝)
Axis interception points of 1 / x² - 4 :
y Intercepts : (0 , - 1/4)
Asymptotes of 1 / x² - 4:
Verticals x = -2. x = 2,
Horizontal y = 0
Extreme Points of 1/x² - 4 :
Maximum (0, -1/4).
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Find approximate values of the solution of the given initial value problem at T=0.1, 0.2, 0.3, and 0.4 using Euler method with h=0.1y'= 0.5-t+2y ; y(o)=1
A starting value or starting point is what is meant by the term "initial value" (plural "initial value").
What is meant by initial value?The definition of an initial value is accurate: It is a starting value or starting point. When the input value is 0, the initial value of a function is its output. For instance, the starting value would be the amount of money you had on day 0 if your function was to track how much money you made over a specific period of time. A function's initial value is the value it has when x is zero. This corresponds to the y-intercept. The graph reveals that our line crosses the y-axis at the coordinates 0 and 8. When x=0 is entered into an exponential function, the result is the function's initial value. The initial value of the exponential function f(x) = abx f (x) = a b x is a.Given,
[tex]$y_{n+1}=y_n+h\left(x_n-y_n\right)^2$[/tex]
Since
[tex]$x_0=0, y\left(x_0\right)=0.5$[/tex]
[tex]\frac{h}{x} & =0.1 \\ x & =0.3\end{aligned}$[/tex]
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three students reported the length of a pencil as 12 cm 12,0 cm and 12,00 cm do all three readings have the same information
yes three readings have the same information for three students reported the length of a pencil as 12 cm 12,0 cm and 12,00 cm
The precision was good while the accuracy was poor. Precision is defined
as how close measurements are with each other.
We were told the data from the measurement was between 12cm-
12cm which shows how close the measurements are hence having a good precision.
The accuracy is defined as how close a measurement is to the theoretical
or actual value. In this case, the actual value is 12cm which is far from the
values gotten from measurements hence signifying the accuracy was poor.
yes three readings have the same information for three students reported the length of a pencil as 12 cm 12,0 cm and 12,00 cm
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Suppose it takes 6.4 pounds of seed to completely plant one acre of land. Boris has 18.5 acres of land. Find the amount of seed he needs.
Answer:
1.2 Acres
Step-by-step explanation:
WHAT IS THIS?: Evaluate 4+ (m - n)^4 when m = 7 and n =5.
Evaluation of 4+ (m - n)^4 when m = 7 and n =5 is -108
What is Foil method?To combine binomials, utilize the FOIL Method.
An abbreviation is F O I L. First, Outside, Inside, and Last are represented by the letters, denoting the sequence of multiplying terms. For your solution, multiply the first word, an outside term, the inside term, the very last term, and then join like terms.
FOIL specifies the specific terms to multiply and their order.
First - multiply the first terms
Outside - multiply the outside/outer terms
Inside - multiply the inside/inner terms
Last - multiply the last terms
Given;
4+ (m - n)^4
m=7, n=5
Now, the binomial formula of (m - n)^4 by foil method
=m^4-4m^3n+6m^2n^2-4mn^3+n^4
=2401-4(343)(5)+6(49)(25)-4(7)(125)+500
=2401-6860+7350-3500+500
=-109
Therefore, the value of expression by foil method will be -109
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In a randomly generated list of numbers from 0-6, what is the chance that each number will concur
In a randomly generated list of numbers from 0 to 6, each number has an equal chance of occurring. Since there are 7 numbers total (0, 1, 2, 3, 4, 5, and 6), the chance of each number occurring is 1/7 or about 14.3%.
A probability simple definition is what?
A probability is a measure of the likelihood of a particular event occurring. It is a value between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur. A probability of 0.5, for example, indicates that the event has an equal chance of occurring or not occurring. A probability can be expressed as a fraction, decimal, or percentage.
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HELP!!!
Ivan must choose a number between 55 and 101 that is a multiple of 4, 10, and 20. Write all the numbers that he could choose. If there is more than one number, separate them with commas.
Answer:
60, 80, 100
Step-by-step explanation:
What you need to do in this case is find animver between 55 and 101 that has a first number as an even number and the second number as zero
Answer:
60,80,100
Step-by-step explanation:
I don't even know
Chris baked 45 cookies. His family are n of them. Using n, write an expression for the number of cookies that remained
The expression that shows the number of cookies that remained is:
C = 45 - n
How many cookies remained?We know that Crhis baked a total of 45 cookies, and his family ate n of them.
The number of cookies that remained is equal to the difference between the initial amount, which is 45, and the number of cookies that the family ate, which is n.
(Where a difference refers to a subtraction)
Then the expression for the number of cookies that remained is:
cookies = 45 - n
That is the expression that depends on the value n.
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which of the following shows a correct side-by-side bar chart with store location on the horizontal axis and side-by-side bars of the percentage of time spent on each task?
The resulting bar chart would show that in Store A, the employees spend 30% of their time on stocking, 40% on cashiering, and 30% on cleaning.
To create a side-by-side bar chart for this data, we would first organize the data into a table with store locations as the rows and tasks as the columns. Each cell in the table would contain the percentage of time spent on that task at that store location.
For example, the table might look like this:
Stocking Cashiering Cleaning
Store A 30% 40% 30%
Store B 25% 35% 40%
Store C 35% 25% 40%
To create the bar chart, we would then place the store locations on the x-axis and use different colors to represent the different tasks. The length of each bar would correspond to the percentage of time spent on that task at that store location.
The resulting bar chart would show that in Store A, the employees spend 30% of their time on stocking, 40% on cashiering, and 30% on cleaning.
Similarly, the chart will provide an easy visual representation of the time spent on each task at each store location.
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The complete question is -
The management of a retail company wants to analyze the time spent by employees on different tasks at different store locations. The data collected shows the percentage of time spent on tasks such as stocking, cashiering, and cleaning at three store locations: Store A, Store B, and Store C. Create a side-by-side bar chart to represent this data and analyze the results.
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e solid has a triangular base in the x y-plane. the solid has ---select--- in the x z-plane. the solid has ---select--- in the y z-plane. the solid has ---select--- in the plane z
The triangular base in the xy plane can be described by the equation y = mx + b, where m is the slope of the line and b is the y-intercept.
In the xz plane, the solid has a plane defined by the equation z = f(x). This equation can be derived from the equation of the base by substituting the y values with the corresponding mx + b values. Similarly, in the yz plane, the solid has a plane defined by the equation z = g(y). This equation can be derived from the equation of the base by substituting the x values with the corresponding (y - b)/m values. To calculate the area of the solid, we can use the formula A = 1/2h(b1 + b2), where h is the height of the solid and b1 and b2 are the lengths of the two bases. The area of the solid can then be found by substituting the appropriate values into this formula.
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Congress is debating a proposed law to reduce tax rates. If the current tax rate is r%, then the proposed rate after x years is given by this formula: r/1+1/1+1rRewrite this formula as a simple fraction. Use your formula to calculate the new tax rate after 1 year, 2 years, 5 years, and 15 years. 1 year____2 years____5 years___15 years____
Would tax rates increase or decrease over time? O increase O decrease Congress claims that this law would ultimately cut peoples' tax rates by 75%. Do you believe this claim? Explain.
The simple fraction is [tex]= \frac{x + 1}{2x + 1}r[/tex]
In math, what is a fraction?
A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction.
Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.
[tex]= \frac{r}{1 + \frac{1}{\frac{1 + 1/x }{} } }[/tex]
[tex]= 1 + 1/x[/tex]
= x + 1/x we have
= [tex]\frac{1}{x + 1/x}[/tex]
[tex]= \frac{x}{x + 1}[/tex]
[tex]= 1 + \frac{x}{x + 1}[/tex]
[tex]= \frac{ 2x + 1}{x + 1}[/tex]
r%*x+1/(2x+1)
[tex]= \frac{x + 1}{2x + 1}r[/tex]
reduce to the appropriate fraction. The denominator was then brought up and the numerator down as I normalized.
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The complete question is -
Congress is debating a proposed law to reduce tax rates. If the current tax rate is r%, then the proposed rate after x years is given by this formula: r 1 1 1 1 x . Rewrite this formula as a simple fraction.
What are the domain and range of the following function: (3, 5), (-2, 4), (6, 1), (8, 7)?
use the definition of continuity and the properties of limits to show that the function is continuous at the number a
Continuity is the formulation of a function that varies with no breaks or jumps. The concepts of limits and continuity have been used to show that the function is continuous at the number a below.
If a graph has no holes asymptotes or breaks at any point then the function is said to be continuous. Or if we can draw the function without lifting our pen then it is called continuous.
The conditions which it should satisfy are,
1)The limit must exist at that point.
2) The function must be defined at that point, and
3)The limit and the function must have equal values at that point. So,
A function f(x) is said to be continuous at x=a if,
lim f(x) = f(a)
x→a
A function is said to be continuous on the interval [a,b] if it is continuous at each point in the interval.
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which expression is equivalent to 5M-3N when M=3x-2 and N=2x-5
A9x+5
B9x-25
C21x+5
D21x-25
Answer:
A. 9x+5
Step-by-step explanation:
[tex]5(3x-2)-3(2x-5)\\15x-10-6x+15\\9x+5[/tex]
find two nonzero vectors perpendicular to 2 in r3 that are not scalar multiples of each other, 2 looks like. 2
v1 and v2 be two nonzero vectors perpendicular to 2 in R3.
We can calculate the dot product of each vector with 2 to determine if they are perpendicular.
v1•2 = (x1, y1, z1)•(2, 0, 0) = 2x1
v2•2 = (x2, y2, z2)•(2, 0, 0) = 2x2
If 2x1 = 0 and 2x2 = 0, then v1 and v2 are perpendicular to 2. To make sure they are not scalar multiples of each other, we can check that the coordinates of each vector are not all the same. Let's say v1 = (a, b, c) and v2 = (d, e, f). If a≠d, b≠e, and c≠f, then v1 and v2 are not scalar multiples of each other.
For example, let v1 = (1, 2, 3) and v2 = (4, 5, 6). Then v1•2 = 2 and v2•2 = 8, which both equal 0. Therefore, v1 and v2 are perpendicular to 2. Furthermore, since 1≠4, 2≠5, and 3≠6, v1 and v2 are not scalar multiples of each other.
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For this exercise, use the position function s(t) = −4.9t^2 + 160, which gives the height (in meters) of an object that has fallen for t seconds from a height of 160 meters. The velocity at time t = a seconds is given by lim t→a s(a) − s(t) a − t . When will the object hit the ground? At what velocity, v, will the object impact the ground?
Answer:
5
Step-by-step explanation:
u just know
consider a grid of points. find the number of squares with all their vertices belonging to the points of this grid.
The number of squares that can be formed on a grid with n points on one side is (n² - (n-1)²).
The number of squares that can be formed with all their vertices belonging to the points of a grid can be calculated using the formula:
n² - (n-1)²
where n is the number of points on one side of the grid.
This is because there are n² total points on the grid, and each point can be used as a vertex for n-1 squares (when n>1) in the horizontal and vertical directions. However, each of these squares is counted twice, once for each corner point. So we subtract (n-1)² to account for the overcounting.
For example, if there are 4 points on one side of the grid, the number of squares that can be formed is 4² - (4-1)² = 16 - 9 = 7 squares.
In general, the number of squares that can be formed on a grid with n points on one side is (n² - (n-1)²).
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PLEASE SOMEONE EXPLAIN HOW TO DO THIS QUESTION SO CONFUSED AND DUE IN AND HOUR
The minimum number of students is 3.
Average of grouped data:The mean is a value that is used to determine the central tendency of the data and is the average or computed central value of a set of values.
The method of determining the mean of a set of data that are grouped together in several categories is known as the mean of grouped data.
A frequency table must be set across the data's frequencies in order to calculate the mean of grouped data, which makes the calculation simple.
[ Here we need to create a frequency table to solve the problem ]
Here we have
Score 10 20 30 40
No of students 6 7 8 ?
To calculate the average of the score make the table as follows
Let 'x' be the number of students that the class average over 23
Score (x) No of students(f) fx
10 6 60
20 7 140
30 8 240
40 x 40x
∑f = 21 + x ∑fx = 440 + 40x
Average of score = ∑fx/ ∑f = [ 440 + 40x ]/21+x
As we assumed the average score is 23
=> [440 + 40x ]/21+x = 23
=> [440 + 40x ] = [ 21+x ] (23)
=> 440 + 40x = 483 + 23x
=> 40x - 23x = 483 - 440
=> 17x = 43
=> x = 43/17 = 2.53 (approx 3 )
Therefore,
The minimum number of students is 3.
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if y^2-2xy+3x^3=5, then at the point (-1,2) dy/dx =
Answer:
5
Step-by-step explanation:
To find the derivative of a function at a given point, we need to use the concept of limits and the definition of a derivative. In this case, we are trying to find dy/dx at the point (-1,2) for the given function y^2-2xy+3x^3=5
Since the function is equal to 5, we can assume that y^2-2xy+3x^3-5 =0, then we can find the partial derivative with respect to x and y.
∂/∂x (y^2-2xy+3x^3-5) = -2y + 9x^2
∂/∂y (y^2-2xy+3x^3-5) = 2y - 2x
Now we can substitute the point (-1,2) into the equation,
dy/dx = -2(2) + 9(-1)^2 = -4 + 9 = 5
Therefore, dy/dx at the point (-1,2) is equal to 5
It's important to note that this result is valid only for this specific point, it does not mean that it's the slope of the function in general.
Find the perimeter of the following trapezoid:
Answer:
17 feet
Step-by-step explanation:
perimeter is the measurement of the border of a shape
2.5 + 6 + 8 + 2.5 = 17
Simplify. Rewrite the expression in the form x^nx n x, start superscript, n, end superscript. \dfrac{x^{5}}{x^2}= x 2 x 5
The rewritten expression in the form of xⁿ is x^3
In math, the expression refers the combination of variables, constants and exponents.
Given,
Here we have the expression x^5 / x^2
Now, we have to rewrite this expression into the form of xⁿ.
As per the law of exponents, we have rewrite the given expression as,
=> x^5*x^-2
Now, as per the law of exponent of multiplication, we can write it as,
=> x^5-2
Now, it can be further simplified as,
=> x^3
expression can be with one variable two variable or any number similar concept for constant also that is it can be any number
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Match the following:
Whole Number:
Fraction:
Answer Choices: If the similar figure is smaller than the original then the scale factor is a ______. If the similar figure is larger than the original then the scale factor is a __________
If the similar figure is smaller than the original then the scale factor is a fraction. If the similar figure is larger than the original then the scale factor is a whole number.
How do scale factors work ?The scale factor is a ratio that compares the corresponding side lengths of two similar figures. If the similar figure is smaller than the original, the scale factor is a fraction less than 1, for example, 2/3 or 3/4. This means that the corresponding side lengths of the similar figure are 2/3 or 3/4 of the corresponding side lengths of the original figure.
On the other hand, if the similar figure is larger than the original, the scale factor is a whole number greater than 1, for example, 2 or 3.
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HELP!!!!! Brainliest!!!
Pic
The slope of the given linear relationship is 5 (A).
From the question, we have 5 different points that create a linear relationship. To determine the slope of the linear relationship, we can choose 2 random sequence points.
We might choose:
Point 1 = (0,-2)
Point 2 = (1,3)
We can find the slope of the relationship using formula of:
m = y2 - y1
x2 - x1
m = 3- (-2)
1 - 0
m = 5
1
m = 5
To ensure our finding, we can choose another pair of random points, for example:
P1 = (-2, -12)
P2 = (-1, -7)
We can use the slope formula:
m = y2 - y1
x2 - x1
m = -7 - (-12)
-1 - (-2)
m = 5
1
m = 5
Hence, the slop of the linear relationship between all the given points are 5.
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What is 3(4 + x) + 2 x 3 = ?
