The simplified expression of (x + y)(x - y) is x^2 - y^2
How to solve the expression?The expression is given as:
(x + y)(x - y)
Expand the bracket
x(x - y) + y(x -y)
Further, expand
x^2 - xy + xy - y^2
Evaluate the like terms
x^2 - y^2
Hence, the simplified expression of (x + y)(x - y) is x^2 - y^2
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the clock shows when Jane went to bed last night. witch clock shows the same time
Answer:
where the picture is how should we give ans
The following exchange rate is given: £1 = 1.12 euros. Convert £9 into euros.
Answer:
10.08 Euro's
Step-by-step explanation:
Given that we know,
£1 = 1.12 Euro's.
To Simply convert it to Euro's you would multiply, 1.12 x 9 in order to find out what £9 is worth in Euro's.
Thus giving you,
10.08 Euro's
Two variables are (always | sometimes | never) correlated.
4 x 3 x 3 x 2 x 2 x 6 x 7
Answer : 6048
mulitply it I guess
Answer:
6048 is your answer
Step-by-step explanation:
Your answer is 6048 because after multiplying these numbers together via calculator you will see that the answer is 6048, my work is shown below
4x3=12
12x3=36
36x2=72
72x2= 144
144x6=864
864x7=6048
Thus that is how I found that the answer is 6048
if every individual in the population has an equal chance of being selected for a sample, the sample is said to be a/an _____________ sample.
If every individual in a population has an equal chance of being selected for a sample, the sample is said to be a "random sample" or a "simple random sample."
A random sample is a sampling technique used in statistics to gather data from a population. It is considered one of the most unbiased and reliable methods for selecting a sample. In a random sample, each individual in the population has an equal probability of being selected, regardless of their characteristics or attributes.
This equal chance of selection eliminates any systematic bias and ensures that the sample is representative of the population.
The process of obtaining a random sample involves assigning a unique identifier to each individual in the population and using a randomization method to select the desired number of individuals.
Random sampling can be conducted through various techniques, such as simple random sampling, where individuals are selected directly from the population using a random number generator or a randomization table.
The goal of a random sample is to reduce the potential for selection bias and increase the generalizability of the findings to the larger population. By giving every individual an equal opportunity to be included in the sample, researchers can make more accurate inferences and draw conclusions about the population as a whole.
This type of sampling method ensures that each member of the population has an equal opportunity to be included in the sample, making it a representative subset of the population.
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"repeated sampling of a certain process shows the average of all
samples ranges to be 1.00 cm. there are random samples and the
ssmple size has been 5. what is the upper control limit for R
chart?
Upper Control Limit for R Chart: UCL = D4 * R-Bar , UCL = 2.114 * 1.000, UCL ≈ 2.115 cm. Therefore, the correct answer is 2.115 cm(d).
To calculate the upper control limit for the R Chart, we need to use the following formula:
Upper Control Limit (UCL) = D4 * R-Bar
Where:
- D4 is a constant value based on the sample size (n=5 in this case).
- R-Bar is the average range of the samples, which is given as 1.000 cm.
The value of D4 for a sample size of 5 is 2.114. (You can find this value in statistical reference tables.)
Now, we can calculate the UCL:
UCL = D4 * R-Bar
= 2.114 * 1.000
= 2.114 cm
Rounding to 3 decimal places, the upper control limit for the R Chart is 2.114 cm.
Therefore, the correct option is: d. 2.115 cm
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The complete question is :
Repeated sampling of a certain process shows the average of all sample ranges to be 1.000 cm. There are 12 random samples and the sample size has been 5. What is the upper control limit for R Chart? Must compute in 3 dec pl. Select one: O a. 2.745 cm O b. 3.005 cm O c. 1.725 cm d. 2.115 cm e. 2.000 cm
Evaluate 5 to the second power + 10 divided by 2
Answer:
10
Step-by-step explanation:
5²+10÷2
10+10÷2
20÷2
10
Answer:17.5
Step-by-step explanation:
5^2 is 25
25+10=35
35/2 is 17.5
If a figure is a square, its diagonals divide it into isosceles triangles.
p: A figure is a square.
q: A figure's diagonals divide into isosceles triangles.
Which represents the converse of this statement? Is the converse true?
The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:
"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."
The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.
Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.
In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.
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One of your clients is an active investor using a tactical asset allocation strategy. As such, the client engages in numerous transactions every month. With each transaction, the client pays a separate transaction fee. Your firm has just begun offering an account to its clients whereby the client can pay one flat fee to cover all the trades in that account. You immediately bring this news to the client and suggest making the change. What type of account is this
This type of account is commonly referred to as a flat-fee or all-inclusive trading account. It simplifies the fee calculation and allows the client to have better visibility and control over their trading costs.
A flat-fee trading account is an account where clients pay a single, predetermined fee that covers all the trades executed within the account, regardless of the number of transactions made. This approach is different from traditional transaction-based accounts where clients pay a separate fee for each individual trade.
By offering a flat-fee account, your firm aims to provide cost-saving benefits to the active investor client who frequently engages in numerous transactions. Instead of incurring transaction fees for each trade, the client can pay a single flat fee that covers all the trades made within the account. This can potentially lead to significant cost savings for the client, especially if they regularly execute a high volume of trades.
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Simplify the following
a)
\( \frac{5}{8} - \frac{1}{4} + 1 \ \frac{1}{2} \)
b)
\(1 \ \frac{2}{3} + \frac{1}{2} - \frac{1}{6} \)
c)
\(1 + \frac{1}{2} - \frac{1}{3} \)
A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472.
Find the substance’s half-life, in days. Round your answer to the nearest tenth.
A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.
The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:
t = (0.693 / k)
where t is the half-life and k is the decay constant.
In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.
t = (0.693 / 0.1472) ≈ 4.7 days
Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.
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At the store, Jan bought 1.25 pounds of roast beef, 2 pounds of ham, and 0.8 pounds of
turkey. How many pounds of deli meat did Jan buy in all?
Answer:
4.05
Step-by-step explanation:
1.25+2+0.8
3.25+0.8
4.05
Answer:
4.05
Step-by-step explanation:
did the math
The times for Erin’s five laps around the track were 56.6 seconds, 57.9 seconds, 57.5 seconds, 65.3 seconds, and 65.7 seconds. Using rounding to the nearest whole second as the only estimation technique, what is the total estimated time for Erin’s five laps in seconds?
300
303
304
320
Answer:
the correct answer should be c, 304
Answer:
c or 304
Step-by-step explanation:
i took the quiz on edge
A probability distribution for which the possible values for a random variable can take on only specific values.
Group of answer choices
Categorical probability distribution
Continuous probability distribution
Discrete probability distribution
The correct answer is "Discrete probability distribution."A discrete probability distribution is a probability distribution where the possible values for a random variable are specific and distinct.
This means that the random variable can only take on certain values, often represented by integers or a countable set. Each possible value has an associated probability assigned to it. Examples of discrete probability distributions include the binomial distribution, Poisson distribution, and geometric distribution. Discrete distributions are characterized by a probability mass function (PMF) that assigns probabilities to each possible value.
Unlike continuous probability distributions, which can take on any value within a range, discrete distributions are limited to specific outcomes, making them suitable for situations with countable or categorical data.
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What is the approximate value of the square root of 8 rounded to the nearest tenth?
Answer:
Step-by-step explanation:
The square root of 8 to the nearest 100th is 2.83
The 3 is less than 5 so it does not alter the 8 at all.
The answer is 2.8
Help please!!! I really don’t know how to do this!
Answer:
I'm going to do 1 as an example and using what I've taught you, you have to do the rest. Hope my explanation helps.
Step-by-step explanation:
We are given the points (-2, -4) and (-1, -1)
We need to find the slope.
The equation to do so is y2 - y1 / x2 - x1
lest say:
-2 is x1
-4 is y1
-1 is x2
-1 is y2
-1 - (-4) / -1 - (-2)
3/1 = 3
slope (m) = 3
We already know the y-intercept is 2
The equation of a line is y = mx + b
For this problem we just have to substitute what we already know.
y = (slope)x + y-intercept
y = 3x + 2
*TIP*
If the y-intercept is negative, let's say: b = -5 (using slope 8)
the equation will be y = 8x - 5
Hope this helps. I wish you all the best. :)
whats -6 minus -2?
-6- -2
Evaluate the expression for x=1,y=4 and z =-2. Write your answer as an integer or round to the nearest hundredth , if needed.
Answer:
Step-by-step explanation:
Putting values of x y and z in the expression
2(1) - [(1)(4) + 1]2 - (-2)
2 - (4+1)2 + 2
2 - (5)2 + 2
2 - 25 + 2
-23 + 2
-21
Answer:
-21
Step-by-step explanation:
Write three integers that do not ali have the same sign that have a sum
of -20.
is x=5 and y=7 parallel,perpendicular or neither
Answer:
Perpendicular
Step-by-step explanation:
when graphed they intersect
Answer:
Perpendicular
Step-by-step explanation:
The lines end up crossing.
Problem: The table shows expressions to represent the number of 8th grade students
enrolled in different electives. The number of students enrolled in Art and Music is equal
to the number of students enrolled in Band and Journalism. Write and solve an equation.
Then find the number of students enrolled in each elective.
Class
Band
Art
Music
Journalism
What are you trying to find out:
Workspace:
# of Students
2n
7n+6
4n-2
2(4n+6)
Total
Solution:
I
So, the number of students in Band, Art, Music and Journalism are 2n, 7n+6, 4n-2 and 2(4n+6) respectively.
Since the number of students enrolled in Art and Music is equal to the number of students enrolled in Band and Journalism, we have the equation
7n + 6 + (4n-2) = 2n + 2(4n+6).
We now expand the brackets :
7n + 6 + 4n - 2 = 2n + 8n + 12
-> 11n + 4 = 10n + 12
-> 11n + 4 - 10n - 12 = 0
-> n - 8 = 0
-> n = 8.
Therefore, the number of students that enrolled in :
Band : 2n = 16 students.
Art : 7n + 6 = 62 students.
Music : 4n - 2 = 30 students.
Journalism : 8n + 12 = 76 students.
76 = 16 = 62 + 30 = 92, satisfying the requirement.
If 560 mg is 80% of a dose of medicine, how much is a full dose?
Answer:
PLEASE GIVE BRAINLIEST AND THANKS
700mg
Step-by-step explanation:
560 divided by 80= 7
7 x 100=700mg
Help aspp please thank you
The equation of the line would be y = (-3/4)x + 5.
What is the slope-point form of the line?
For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be
y - y1 = m(x - x1)
The given equation is \(y=-\frac{3}{4}x-17\)
The required line is parallel to the given line.
and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4
And the required line passes through (8, -1)
so by using slope - point form of the line,
y - (-1) = (-3/4)(x - 8)
y + 1 = (-3/4)x - (-3/4)8
y + 1 = (-3/4)x + 24/4
y = (-3/4)x + (12/2 - 1)
y = (-3/4)x + 5
Hence, the equation of the line would be y = (-3/4)x + 5.
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In 2003 the state pension was increased by 2% to £78.03. what was the sate pension before this increase
The state pension before the increase by 2 % to £ 78.03 can be found to be £76.50.
How to find the pension ?To find the state pension before the 2% increase in 2003, we can use the formula for reverse percentage calculation.
The original pension was:
x + ( 2% of x ) = £ 78. 03
0. 02 x = £ 78. 03 - x
0 .02 x = £ 78. 03 - x
0. 02 x + x = £ 78. 03
1. 02 x = £ 78. 03
x = £ 78. 03 / 1. 02
x = £ 76 .50
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Simon's dog jumped into a stream at a 68° angle from the corner of a bridge. simon crossed the bridge and walked downstream to meet the dog.
part a how long is the bridge, in feet?
part b how many feet did the dog swim?
The length of the bridge is 12.12 feet.
The length the dog swam is 32.36 feet.
The situation forms a right angle triangle.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. Therefore, the sides and angle can be found using trigonometric ratios.
The length of the bridge is the opposite side of the triangle and the length the dog swim is the hypotenuse side of the triangle.
Therefore,
Let's find the length of the bridge as follows:
tan 68° = opposite / adjacent
tan 68° = 30 / l
cross multiply
l = 30 / tan 68
l = 12.1212121212
length of the bridge = 12.12 ft
The length the dog swim is as follows:
sin 68°= opposite / hypotenuse
sin 68° = 30 / h
h = 30 / sin 68
h = 32.3561767942
The distance the dog swimmed = 32.36 ft
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Find the volume of the rectangular prism.
90.625 cubic feet
107.5 cubic feet
281.25 cubic feet
20.75 cubic feet
Answer:
The answer is C, 281.25 cubic feet.
Step-by-step explanation:
First, you need to multiply all three sides of the rectangular prism.
10x4.5=45
45x6.25=281.25
So the answer is 281.25
Hope this helps!
divide (10x⁷ - 8x⁶ + 3x⁴) ÷ x³
Answer:
10x^4 - 8x^3 + 3x
Step-by-step explanation:
\(\frac{10x^7-8x^6+3x^4}{x^3} = (10x^7-x^3) + (-8x^6-x^3) + (3x^4-x^3)\) \((10x^7-x^3) + (-8x^6-x^3) + (3x^4-x^3) = 10x^4 - 8x^3 + 3x\) \(10x^4 - 8x^3 + 3x\)Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = -1.c
Answer:
\(\displaystyle y=\frac{1}{4}x^2\)
Step-by-step explanation:
Let (x, y) be a point on the parabola.
By definition, any point on the parabola is equidistant from the focus and the directrix
The distance from the focus is given by:
\(\begin{aligned} d&=\sqrt{(x-0)^2+(y-1)^2\\\\&=\sqrt{x^2+(y-1)^2}\end{aligned}\)
The distance from the directrix is given by:
\(d=|y-(-1)|=|y+1|\text{ or } |-1-y|\)
So:
\(\sqrt{x^2+(y-1)^2}=|y+1|^\)
Square both sides. Since anything squared is positive, we can remove the absolute value:
\(x^2+(y-1)^2=(y+1)^2\)
Square:
\(x^2+(y^2-2y+1)=y^2+2y+1\)
Hence:
\(x^2=4y\)
So, our equation is:
\(\displaystyle y=\frac{1}{4}x^2\)
A sock manufacturing company's profit p (in hundreds of dollars) after selling x thousand pairs of socks can be modeled by the function p(x)=-4x²+40x-2. How many pairs of socks must be sold in order to maximize profits?
The company must sell 5 thousand pairs of socks in order to maximize profits. This value maximizes the profit, as confirmed by the negative second derivative of the profit function at x = 5.
The profit function of the sock manufacturing company is given by:
p(x) = -4x² + 40x - 2
To find the number of pairs of socks that must be sold in order to maximize profits, we need to find the vertex of the parabola given by the profit function.
The x-coordinate of the vertex of a parabola of the form y = ax² + bx + c is given by:
x = -b / 2a
In this case, a = -4 and b = 40, so we have:
x = -40 / 2(-4) = 5
Therefore, the company must sell 5 thousand pairs of socks in order to maximize profits.
Note that to verify that this value maximizes the profit, we can calculate the second derivative of the profit function and check that it is negative at x = 5:
p''(x) = -8
Since the second derivative is negative, the profit function has a maximum at x = 5, which means that selling 5 thousand pairs of socks will maximize the company's profits.
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A bakery offers a sale price of 2.55 for 4 muffins.what is the price per dozen?
I hope someone answers fast
And explain what you did
Answer: $7.65 for a dozen/12
Step-by-step explanation: 2.55 x 3