Answer:
(x - 2)(x + 2)
Step-by-step explanation:
If this is a difference of squares, it factors like this.
(x - 2)(x + 2)
The general rule is x^2 - a^2 factors into sqrt(x^2) +/- sqrt(a^2)
That always produces 2 factors: (x + a)(x - a)
A(2, 4) , B(4,0) & D(-4, 0). Here, the x- and y-coordinates are measured in meters. What is the area of the plot of land?
Answer:
\(Area = 16\)
Step-by-step explanation:
Given
\(A = (2,4)\)
\(B = (4,0)\)
\(D = (-4,0)\)
Required
The area of the plot
The given coordinates show a triangle; and the area is calculated as:
\(Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|\)
\(Area = \frac{1}{2}|2*0 - 4*4 + 4*0 - -4*0 + -4*4 - 2*0|\)
\(Area = \frac{1}{2}|-16 + 0 -16|\)
\(Area = \frac{1}{2}|-32|\)
\(Area = \frac{1}{2}*32\)
\(Area = 16\)
A gallon of milk costs $2.30. What is the cost per quart?
Answer:
57.5p
Step-by-step explanation:
$2.30 / 4 = 57.5p
which inequality best represents the range of the part shown?
Answer:
the answer is d
Step-by-step explanation:
i dont really know why but the circle thats not colored in is on -9 and the one that is colored in is on 6 so yeah
how many different refrigerants may be recovered into the same cylinder
In general, different refrigerants should not be mixed or recovered into the same cylinder.
Different refrigerants have unique chemical compositions and properties that make them incompatible with one another. Mixing different refrigerants can lead to unpredictable reactions, loss of refrigerant performance, and potential safety hazards. Therefore, it is generally recommended to avoid recovering different refrigerants into the same cylinder.
When recovering refrigerants, it is important to use separate recovery cylinders or tanks for each specific refrigerant type. This ensures that the refrigerants can be properly identified, stored, and recycled or disposed of in accordance with regulations and environmental guidelines.
The refrigerant recovery process involves capturing and removing refrigerant from a system, storing it temporarily in dedicated containers, and then transferring it to a proper recovery or recycling facility. Proper identification and segregation of refrigerants during the recovery process help maintain the integrity of each refrigerant type and prevent contamination or cross-contamination.
To maintain the integrity and safety of different refrigerants, it is best practice to recover each refrigerant into separate cylinders. Mixing different refrigerants in the same cylinder can lead to complications and should be avoided. Following proper refrigerant recovery procedures and guidelines helps ensure the efficient and environmentally responsible management of refrigerants.
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The number of different refrigerants that may be recovered into the same cylinder is zero.
When it comes to refrigerants, it is important to understand that different refrigerants should not be mixed together. Each refrigerant has its own unique properties and should be handled and stored separately. mixing refrigerants can lead to chemical reactions and potential safety hazards.
The recovery process involves removing refrigerants from a system and storing them in a cylinder for proper disposal or reuse. During the recovery process, it is crucial to ensure that only one type of refrigerant is being recovered into a cylinder to avoid contamination or mixing.
Therefore, the number of different refrigerants that may be recovered into the same cylinder is zero. It is essential to keep different refrigerants separate to maintain their integrity and prevent any adverse reactions.
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What is 42a - 16 ?????
Answer:
2 (21a−8)
Step-by-step explanation:
Answer:
2(21a - 8)
Step-by-step explanation:
42a - 16
The gcf of 42, 16 is 2
=> 2(21a-8)
if f(x) =69-15x then f(f^-1(x))
If f(x)=69-15x then \(f(f^{-1}(x))=x\)
Given :
\(f(x)=69-15x\\\)
Lets find out \(f^{-1}(x)\). The steps to find out f inverse are
Replace f(x) by y
\(y=69-15x\\Interchange \; the \; variables\\x=69-15y\\solve \; for \; y\\x-69=-15y\\Divide \; by \; -15\\\frac{-x+69}{15} =y\\Replace \;y \;with \; f^{-1}\\f^{-1}=\frac{-x+69}{15}\)
Now we find \(f(f^{-1}(x))\)
Replace inverse function in the place of x in f(x)
\(f(f^{-1}(x))=f(\frac{-x+69}{15} )=69-15(\frac{-x+69}{15})=69-(-x+69)=69+x-69=x\\f(f^{-1}(x))=x\)
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Complete the equations below.
Answer:
3.64 ÷ 7 = 364 hundredths ÷ 7
3.64 ÷ 7 = 52 hundredths
3.64 ÷ 7 = 0.52
Step-by-step explanation:
A teacher recorded unit 4 test scores from her class.
58, 64, 66, 70, 71, 75, 77, 80,
84, 85, 87, 90, 93, 95, 96.
Find the percentile rank of a score of 71 on this street -
Victor is in the 60th percentile, what was his score?
The percentile score of 71 on test score is 27 and the score of victor is 71.
What is Statistics?Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
Given, the teacher recorded unit 4 test scores from class.
The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.
A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.
The percentile rank of a score of 71 on the test is find by formula
\(R_{100} =\frac{100(N < )+\frac{1}{2} }{N}\)
=100×4+1/2(1)/15
=400+0.5/15
=400.5/15
=26.7=27th
Now we need to find the score of victor who has 60th percentile.
60=Score/15
score=71
Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.
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what does it mean when the second derivative equals zero
When the second derivative of a function equals zero, it indicates a possible point of inflection or a critical point where the concavity of the function changes. It is a significant point in the analysis of the function's behavior.
The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero at a particular point, it suggests that the function's curvature may change at that point. This means that the function may transition from being concave upward to concave downward, or vice versa.
Mathematically, if the second derivative is zero at a specific point, it is an indication that the function has a possible point of inflection or a critical point. At this point, the function may exhibit a change in concavity or the slope of the tangent line.
Studying the second derivative helps in understanding the overall shape and behavior of a function. It provides insights into the concavity, inflection points, and critical points, which are crucial in calculus and optimization problems.
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When the second derivative of a function equals zero, it indicates a critical point in the function, which can be a maximum, minimum, or an inflection point.
The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero, it indicates a critical point in the function. A critical point is a point where the function may have a maximum, minimum, or an inflection point.
To determine the nature of the critical point, further analysis is required. One method is to use the first derivative test. The first derivative test involves examining the sign of the first derivative on either side of the critical point. If the first derivative changes from positive to negative, the critical point is a local maximum. If the first derivative changes from negative to positive, the critical point is a local minimum.
Another method is to use the second derivative test. The second derivative test involves evaluating the sign of the second derivative at the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, the test is inconclusive.
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23. Jeremy is two years older than Rachel. The sum of the ages of Jeremy and Rachel is less
How old could Jeremy be?
Let
Inequality:
The age of Jeremy could be less than 22 years
How to determine how old Jeremy could be?From the question, we have the following parameters that can be used in our computation:
Jeremy = Rachel - 2
Let Jeremy = x and Rachel = y
So, we have
y = y - 2
Their ages added together is less than 46
So, we have
x + y < 46
This gives
x + x + 2 < 46
So, we have
2x < 44
Divide
x < 22
Hence, Jeremy could be less than 22 years
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Question
Jeremy is two years older than Rachel. The sum of the ages of Jeremy and Rachel is less than 46
How old could Jeremy be?
I Need Help Please :(
Answer:
\( \frac{2 {}^{5} }{7 {}^{5} } \)
Step-by-step explanation:
\(( \frac{2}{7}) {}^{5} =\frac{2 {}^{5} }{7 {}^{5} } \)
Hope this helps ;) ❤❤❤
If two events, event a with probability p(a) and event b with probability p(b) are complementary events then __________.
If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.
P(A) + P'(A) = 1
The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.
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A car travels at a constant speed of 56 mph for 2 hours. How far does the car travel in this
time?
what differences can be found when contrasting the mood of third person acc with that of claudettes first person account?
Answer: The mood of the third-person account is less emotional and more matter-of-fact. The mood of Claudette's account is less emotional and more matter-of-fact.
Step-by-step explanation:
Find the missing exponent.
Answer:
7
Step-by-step explanation:
We know that
a^b / a^c = a^ (b-c)
5^11 / 5^? = 5^(11-?) = 5^4
This means 11-? = 4
11-4 = ?
7 = ?
Help Asap!!!! No Links!
Answer: 18
Step-by-step explanation:
Start by evaluating in the parenthesis
First simplify the exponents
\(\frac{3}{4} (2^3+4^2)\\\frac{3}{4} (8+16)\)
Now simplify in the parenthesis
\(\frac{3}{4} (8+16)\\\frac{3}{4} (24)\)
Now multiply
\(\frac{3}{4} (24)\\\frac{72}{4} \\18\)
What set of numbers are shaded on the hundred chart?
hundred chart with 12, 24, 36, 48, 60, 72, 84, and 96 shaded
Choose 1 answer:
(Choice A)
A
Only the factors of 12
(Choice B)
B
Only the multiples of 12
(Choice C)
C
Only the factors of 8
(Choice D)
D
Only the multiples of 8
Answer:
Is letter B the correct one.
Step-by-step explanation:
If you take that 12 and then multiply it x1, x2, x3, x4, x5, x6, x7 and x8 you will get the numbers in the Chart.
i need help with homework
A Ferris wheel has a radius of 20 feet. The wheel is rotating at 3 revolutions per minute. Find the linear speed, in feet per minute, of a seat on the Ferris wheel.
Answer:
its 314 feet
Step-by-step explanation:
do the math
Please Help 100 POINTS!!!
Answer:
B
Step-by-step explanation:
Answer:
B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)
Step-by-step explanation:
3. an farmer is testing to see how different amounts of nitrogen infused in the soil will impact the height of her corn plants. she puts two corn plants into two pots. one is filled with nitrogen infused soil and the other is not. she puts the regular soil pot outside and the nitrogen infused plant in her bathroom. the corn in the regular soil grows to 7 feet tall and the corn in the nitrogen soil grows to 2 feet tall. what are her variables?
The variables of farmer are independent variables and dependent variables.
In this scenario, the farmer is testing the impact of different amounts of nitrogen on corn plant height. Her variables are as follows:
1. Independent variable: The amount of nitrogen infused in the soil (one pot has nitrogen-infused soil and the other has regular soil).
2. Dependent variable: The height of the corn plants (measured in feet).
However, it's important to note that the experimental setup has a potential confounding variable, which is the location of the pots (one is outside and the other is in the bathroom). This might influence the results and make it difficult to solely attribute the differences in height to the nitrogen content in the soil.
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Which inequality has the solution shown?
What kind of relationship is expressed below?
5x-9>12
Answer:
Today: Tuesday, 12th January 2021
21.16 PM
\( \tt 5x - 9 > 12\)
\( \tt 5x > 12 + 9\)
\( \tt 5x > 21\)
\( {\orange{\boxed{ \red{\tt x = \frac{21}{5} }}}}\)
The given relation 5x-9>12 represents inequality. the solution of inequality is x > ( 21 / 5).
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Given inequality, the relation is 5x-9>12. The solution to inequality be done as:-
5x - 9 > 12
5x > 12 + 9
5x > 21
x > 21 / 5
Therefore, the given relation 5x-9>12 represents inequality. the solution of inequality is x > ( 21 / 5).
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(AIME) Find the number of subsets of {1, 2, 3, 4, 5, 6, 7, 8} that are subsets of neither {1, 2, 3, 4, 5} nor {4, 5, 6, 7, 8}.
There are 196 subsets that are subsets of neither {1, 2, 3, 4, 5} nor {4, 5, 6, 7, 8}.
To find the number of subsets that are subsets of neither {1, 2, 3, 4, 5} nor {4, 5, 6, 7, 8}, we can use the principle of inclusion-exclusion.
First, let's find the total number of subsets of {1, 2, 3, 4, 5, 6, 7, 8}. Since there are 8 elements in the set, there are 2^8 = 256 subsets.
Next, we need to find the number of subsets that are subsets of {1, 2, 3, 4, 5}. Similarly, there are 2^5 = 32 subsets.
Likewise, the number of subsets that are subsets of {4, 5, 6, 7, 8} is 2^5 = 32.
However, we have counted some subsets twice, those that are subsets of both {1, 2, 3, 4, 5} and {4, 5, 6, 7, 8}. To find the number of these subsets, we can take the intersection of the two sets, which is {4, 5}. There are 2^2 = 4 subsets of {4, 5}.
To find the number of subsets that are subsets of neither {1, 2, 3, 4, 5} nor {4, 5, 6, 7, 8}, we can subtract the number of subsets that are subsets of either {1, 2, 3, 4, 5} or {4, 5, 6, 7, 8}, minus the number of subsets that are subsets of both {1, 2, 3, 4, 5} and {4, 5, 6, 7, 8}.
So, the number of subsets that are subsets of neither {1, 2, 3, 4, 5} nor {4, 5, 6, 7, 8} is 256 - 32 - 32 + 4 = 196.
Therefore, there are 196 subsets that are subsets of neither {1, 2, 3, 4, 5} nor {4, 5, 6, 7, 8}.
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I need help a I don't know what to do
Answer:
Look at my solution
HEL PLEAEE HELPPPOPPPPPP
Jared bought 7 cans of paint. A can of red paint costs $3. 75. A can of red paint costs $2. 75. Jared spent $22 in all. How many cans of red and black paint did he buy?
Jared bought 7 cans of paint. Let the number of red paint cans that Jared bought be x. The number of black paint cans he bought would be 7 - x. A can of red paint costs $3.75 and a can of black paint costs $2.75.
He spent $22 in all. Therefore we can write:3.75x + 2.75(7 - x) = 22 Multiplying out the second term and collecting like terms gives:0.5x + 19.25 = 22Subtracting 19.25 from both sides:0.5x = 2.75Dividing by 0.5:x = 5.5Since Jared can't buy half a can of paint, we should round the answer to the nearest integer. Hence, he bought 5 cans of red paint and 2 cans of black paint. The total cost of the 5 cans of red paint would be 5 x $3.75 = $18.75.The total cost of the 2 cans of black paint would be 2 x $2.75 = $5.50.The total cost of all 7 cans of paint would be $18.75 + $5.50 = $24.25.We spent more than Jared's budget. The value of $24.25 exceeds Jared's budget of $22. Hence, there is a problem with this problem statement.
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NEED HELP …………………………..
Answer:
the answer is 58
because the sum of a triangle is 180
and 180 minus 122 equals 58 which is c
What is the solution to the equation 10^x=23? a) x = log 33 b) x = log 23 c) x = log 13 d) x = log 130
Therefore, the solution to the equation 10ˣ = 23 is: x = log(23) that is option B.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It typically includes variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Equations can be solved to find the value(s) of the variable(s) that make the equation true.
Here,
Taking the logarithm of both sides of the equation 10ˣ = 23:
log(10ˣ) = log(23)
Using the power rule of logarithms, the left-hand side simplifies to:
x log(10) = x
Since log(10) = 1, we have:
x = log(23)
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suppose that for a science project you wanted to find exactly how much the length of a shadow changes during the day. how would you make this observation?
You should cast a shadow for a person or item at least three times and measure it each time to determine how the length of the shadow varies during the day.
The shape of an object always dictates the shape of its shadow. A shadow's size and shape can alter, though.
For instance, the location of the light source can induce these variations. The length of the shadow is influenced by the sun's position in the sky on a sunny day.
We can achieve the same effect indoors by adjusting the position of a flashlight reflecting on an object.
When the sun is low on the horizon, the shadows are lengthy, and when the sun is high, the shadows are considerably shorter.
So, To determine the change of length of object during the day, one should cast a shadow at least three separate times for a person or object and measure it each time
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