Answer: 24x² + 20x + 4
Step-by-step explanation:
Area of a rectangle can be found with A = L * W;
A = L * W
A = (8x + 4) * (3x + 1)
Now we can use the "FOIL" method, which is used to multiply binomials.
[F] First ➜ 8x * 3x = 24x²
[O] Outside ➜ 8x * 1 = 8x
[I] Inside ➜ 4 * 3x = 12x
[L] Last ➜ 4 * 1 = 4
Lastly, we add it all together for our final answer.
24x² + 8x + 12x + 4 = 24x² + 20x + 4
Answer:
24x^2+20x+4
Step-by-step explanation:
Area is length times width.
The length is (8x+4) and the width is (3x+1).
If we follow the formula for the area of a rectangle, then it would be
(8x+4)(3x+1).
Next, you would foil.
Take the first and multiply it by the second equation as follows
8x*3x+8x*1 which would give you
24x^2+8x
Then, you would take the second from the first equation and multiply it with the second equation as well.
4*3x+4*1 which would give you
12x+4
Combine all of it together
24x^2+8x+12x+4
Combine like terms
24x^2+20x+4
That's the area.
Hope this helps.
Write an equation of line in slope intercept form that passes through the point -2, 4 and Perpendicular to the line Y = negative 1/8x -1
Answer:
Step-by-step explanation:
perp. -8
y - 4 = -8(x + 2)
y - 4 = -8x - 16
y = -8x - 12
Three machines A, B and C operate independently in a factory. Machine A is out of action for 10% of the time, while machine B is out of action for 5% of the time and machine C for 20% of the time. A rush order has to be commenced at midday tomorrow. What is the probability that at this time: g
The probability that all three machines (A, B, and C) are operational at midday tomorrow is 0.684, or 68.4% when expressed as a percentage.
To find the probability that all three machines are operational at midday tomorrow, we need to multiply the probabilities of each machine being in action.
The probability of machine A being in action is 1 - 0.10 = 0.90 (since it is out of action for 10% of the time).
The probability of machine B being in action is 1 - 0.05 = 0.95 (since it is out of action for 5% of the time).
The probability of machine C being in action is 1 - 0.20 = 0.80 (since it is out of action for 20% of the time).
Since the machines operate independently, we can multiply these probabilities together to get the probability that all three machines are operational:
Probability (All machines operational) = Probability (Machine A in action) * Probability (Machine B in action) * Probability (Machine C in action)
= 0.90 * 0.95 * 0.80
= 0.684
Therefore, the probability that all three machines (A, B, and C) are operational at midday tomorrow is 0.684, or 68.4% when expressed as a percentage.
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a measurement of how well a child can do certain tasks at a certain time in comparison to other children is a(n) test.
A(n) IQ test evaluates a child's performance in relation to other kids in terms of how well they can perform specific activities at a specific time.
Each individual IQ exam is made up of a number of smaller questions, and no reading nor writing are required. Some verbal subtests consist of spoken questions with no set time restriction. Other subtests are frequently timed and typically have a visual or spatial focus. It takes one to two hours to give the exam.
115 to 129: Superior or intelligent. 130 through 144: Fairly talented. From 145 through 159: Very talented. Exceptionally talented from 160 to 179.
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you are education a patient on how to judge the appropriate size of a serving of chicken or lean beef. a good esstimate of 3 ounce of serving size is a
To educate a patient on how to judge the appropriate size of a serving of chicken or lean beef, a good estimate of a 3-ounce serving size is a typical deck of cards or the palm of their hand. This will help them make healthy choices and keep track of their portions. So, a good estimate of a 3-ounce serving size is a typical deck of cards or the palm of your hand.
What is a serving size?A serving size is a standardized amount of food or drink that is intended to make it easier for people to compare the nutritional content of different products and understand how much they are consuming. A serving size might be listed on a food label or recommended as part of a healthy eating plan or diet.
The recommended serving size for different foods and beverages can vary depending on several factors, including a person's age, sex, and physical activity level, as well as the nutrient content of the food or drink.
For example, a serving of fresh vegetables might be 1 cup, while a serving of meat, poultry, or fish might be 3 ounces. A good estimate of a 3-ounce serving size is a typical deck of cards or the palm of your hand. This can help you make healthy choices and keep track of your portions.
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i really really need help
Answer:
which one
Step-by-step explanation:
which one
2. Determine the number of real solutions of the system
You HAVE to show your work to get full credit.
(y=x²-3
y = -2x +4
The number of real solutions of the system are 2 if y=x²-3, y = -2x +4
What is meant by system of solutions?An equation system's solution is a collection of values for the variable that concurrently fulfill each equation. Finding all of the possible sets of variable values that make up the system's solutions is necessary to solve an equation system. However, the second equation does not have a solution at (5, 4). There is often only one solution to a system of linear equations, however it is possible for there to be infinite or no solutions (parallel lines) on occasion (same line).
Given,
y=x²-3 -----(1)
y=-2x +4 -----(2)
Solving equations 1 and 2, we get
x²-3=-2x +4
x²+2x-3-4=0
x²+2x-7=0
We have to solve by using quadratic formula,
x= (-b±√b²-4ac)/2a
x= (-2±√2²-4(1)(-7))/2(1)
x= (-2±√4+28)/2
x= (-2±√32)/2
x= (-2±4√2)/2
x= -1±2√2
x= -1-2√2, -1+2√2
Thus, the system has two solutions.
Therefore, the number of real solutions of the system are 2.
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The value of y varies directly with x. If x = 8, then y = 96. What is the value of x when y = 168?
Answer:
x = 14Step-by-step explanation:
Direct variation equation:
y = kx, where k is constant of variationGiven:
96 = 8kk = 96/8k = 12The equation is:
y = 12xFind the value of x when y = 168:
168 = 12xx = 168/12x = 14What are the solutions for the given equation?
Ox= -2±2√//5
O x = -2±i√5
O x = -2±2i √5
0 x = -2± √√√5
x² + 4x +9=0
The equation x² + 4x + 9 = 0 are complex numbers: x = -2 + i√5 and x = -2 - i√5.
To find the solutions for the equation x² + 4x + 9 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Comparing this equation with the given equation x² + 4x + 9 = 0, we can see that a = 1, b = 4, and c = 9.
Plugging in these values into the quadratic formula, we have:
x = (-4 ± √(4² - 4(1)(9))) / (2(1))
x = (-4 ± √(16 - 36)) / 2
x = (-4 ± √(-20)) / 2
Since the value inside the square root is negative, we know that the solutions will involve complex numbers. Simplifying further, we have:
x = (-4 ± i√20) / 2
x = (-4 ± 2i√5) / 2
Simplifying the expression by dividing both the numerator and denominator by 2, we get:
x = -2 ± i√5
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What is 5 1/3% as a fraction?
Answer:
Hope this is helpful to you
area of a square with 1m side is?
Answer:
1 meter
Step-by-step explanation:
Okay so, all sides of a square are equal right? And is one side is 1 meter, then all of the sides are 1 meter. Your multiplying one by itself, making the answer pretty easy to find out.
approximate the sum of the series by using the first six terms. (see example 4. round your answer to four decimal places.) [infinity] (−1)n 1n 2n
We can write the given series as:
∑ (-1)^n / (n*2^n), n=1 to infinity
To approximate the sum of the series using the first six terms, we can simply add up the first six terms:
(-1)^1 / (12^1) - (-1)^2 / (22^2) + (-1)^3 / (32^3) - (-1)^4 / (42^4) + (-1)^5 / (52^5) - (-1)^6 / (62^6)
Simplifying this expression, we get:
1/2 - 1/8 + 1/24 - 1/64 + 1/160 - 1/384
= 0.5279 (rounded to four decimal places)
Therefore, the sum of the series, approximated by using the first six terms, is approximately 0.5279.
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A die is rolled. Find the probability of the given event. Write your answers as whole numbers or reduced fractions.
(a) The number showing is a 4
P(4) = (b) The number showing is an even number
P(even) =
(c) The number showing is greater than 3
P(greater than 3) =
The probability for given conditions are a) p(4)=0.166, b) p(even)=0.5 and c) p(greater than 3)=0.5
A die is rolled, then the sample space for outcomes is {1,2,3,4,5,6}
Total number of outcomes =6
Probability of showing number 4. number of favourable outcomes is 1 because there is only one 4 in the sample space of outcomes , \(P(4)=\frac{number\ of\ favourable\ outcomes}{total\ number\ of\ outcomes}\\\\P(4)=\frac{1}{6}=0.166\)Probability of showing an even number, even numbers in sample space are {2,4,6} number of favourable outcomes =3 \(P(even)=\frac{3}{6}=\frac{1}{2}=0.5\)Probability of showing a number greater than 3, numbers greater then three is sample space are {4,5,6} number of favourable outcomes =3 \(P(greater\ than\ 3)=\frac{3}{6}=\frac{1}{2}=0.5\)Thus, the probability for given conditions are a)p(4)=0.166, b)p(even)=0.5 and c)p(greater than 3)=0.5
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43% of what number is 4,300?
Answer:
10,000
Hope I helped :)
Answer:
10,000
Step-by-step explanation:
As you see, it says of what number, which means:
43% × ? = 4,300 =>
? =
4,300 ÷ 43% =
4,300 ÷ (43 ÷ 100) =
(100 × 4,300) ÷ 43 =
430,000 ÷ 43 =
Therefore, that number is 10,000.
Leo buy 5 video games for $60. at this rat, how much would he pay for 3 video games?
Answer:36
Step-by-step explanation:
60÷5×3=36
I'm not playin anymore stop putting links and just answer the question n don't steal my points im over it
Make
x
the subject of the formula
x
+
3
=
q
Answer:
x = q - 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
x + 3 = q
Step 2: Solve for x
Subtract 3 on both sides: x = q - 3(20 Points) I just want to be done with this so, some fast help would be much appreciated.
Answer:
I think it would be C
I'm not completely sure though!
From 7x^2+5xy-3y^2 subtract the sum of 2x^2+3xy-5y^2 and x^2-7xy-4y^2.
Answer:
4x^2+9xy+6y^2
Step-by-step explanation:
7x^2+5xy-3y^2 -(2x^2+3xy-5y^2+x^2-7xy-4y^2)
7x^2+5xy-3y^2-(3x^2-4xy-9y^2)
7x^2+5xy-3y^2-3x^2+4xy+9y^2
4x^2+9xy+6y^2
i need helo.please 4th grade math ..thank you so much...
1. 13 hamsters
2. 66 legs
1. From the question, we are told that a hamster has 4 legs
Given that there are a total of 52 legs, so to find the total number of hamsters present, we simply go on to divide the number of total legs by the number of legs a hamster has
Mathematically; that would be 52/4 = 13 hamsters
2. Here, we want to the total number of legs present in a house where we have 4 bettles , 5 hamsters and 11 birds
1 bettle has 6 legs
so 4 bettles will have 4 * 6 = 24 legs
1 hamster has 4 legs
so 5 hamsters will have 5 * 4 = 20 legs
1 bird has two legs
so 11 birds will have 11 * 2 = 22 legs
So the total number of legs present in the house will be the addition of all the legs
That will be 24 + 20 + 22 = 66 legs
3. Here, we have a total of 32 legs , we now want to find the different combination of all the animals present
What is important here is that at any point, for any combination, the total number of legs must be eual to exactly 32
We proceed as follows;
1 bird
1 bettle
6 hamsters
Another can be;
2 birds
2 bettles
4 hamsters
Another combination can be
3 hamsters
3 bettles
1 bird
and so on
Estimate 0.03415 to the nearest hundredth. Express your answer as a single digit times a power of ten
Answer:
3 raise to power -100
Step-by-step explanation:
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a club elects a president, vice-president, and secretary-treasurer. how many sets of officers are possible if there are 13 members and any member can be elected to each position? no person can hold more than one office.
The number of different sets of officers possible is 1716 sets.
The number of sets of officers possible is the number of ways people can be chosen for the given posts.
Since there are 13 people available for the post of president,
The choice can be made in
13 ways.
For the post of the Vice-President, there are 12 likely candidates. Hence, the choice can be made in
12 ways
Similarly for the post of treasurer, there are 11 likely candidates available. Hence, the choice can be made in 11 different ways.
Hence, the total number of sets of officers possible are
13 X 12 X 11
= 1716 sets.
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Find the distance between a point (–7, –19) and a horizontal line at y = 3. Choices are in the attachment...
Explanation:
The distance we're after is the vertical distance from the point to the line. So we only care about the difference in y values from y = -19 to y = 3
You can count out the spaces or use subtraction along with absolute value
distance from P to Q = |P-Q|
distance from -19 to 3 = |-19-3|
distance from -19 to 3 = |-22|
distance from -19 to 3 = 22
The absolute value is to ensure the result is never negative.
how do i solve for 2/5r =2/3
Answer:
Step-by-step explanation:
2/5r=2/3 : multiply both sides by the reciprocal of 2/5 (5/2)
(5/2)(2/5)r=(2/3)(5/2) : 5/2 and 2/5 cancel out, leaving r
r=(2/3)(5/2) : cancel 2
r= 5/3
What’s the answer for this question because I don’t know it
Answer:
I think option c is correct
:::::::::::::::::::::::::::::::::::::::::::::::::
HELP ME PLS LOVE U GUYS ,<322
Answer:
384
Step-by-step explanation:
Triangle sides: 12x10/2. Then multiply by four to get all four sides.
Bottom: 12x12.
Add together, get 384.
a boy has $5 coins and a $10 coins they are eight coins all together and their value is $55 how many of each kind does he have
Answer:
3 $10 coins and 5 $5 coins
Step-by-step explanation:
In 500 words:
Explain the different ways the Polynesians used to navigate the Polynesian Triangle.. Can an added interpretation dilute or misrepresent the Indigenous knowledge portrayed, why or why not?
This is for history of astronomy class.
The Polynesian Triangle is a vast region of the Pacific Ocean that encompasses Hawaii, New Zealand, and Easter Island. The Polynesians were skilled navigators who traveled across this vast expanse of water using only the stars, winds, and currents to guide them. They developed a sophisticated system of navigation that allowed them to travel thousands of miles across the open ocean with remarkable accuracy.
One of the primary methods used by the Polynesians to navigate the Polynesian Triangle was celestial navigation. They used the stars, moon, and planets to determine their position and direction. They had an intimate knowledge of the night sky and could identify hundreds of stars and constellations. They used these celestial bodies to create mental maps of the sky that they could use to navigate by. They also used the position of the sun during the day to determine their direction.
Another method used by the Polynesians was wayfinding. Wayfinding is a complex system of navigation that involves observing the natural environment, such as waves, clouds, and birds, to determine one's position and direction. The Polynesians had an intimate knowledge of the ocean currents and wind patterns in their region. They could read the waves and clouds to determine their direction and could even detect land from great distances by observing the behavior of birds.
The Polynesians also used navigational instruments such as the kamalae and the kapele. The kamalae was a wooden board with a small hole in it that was used to measure the angle between two stars. The kapele was a cord with knots tied in it that was used to measure distance traveled.
It is important to note that Indigenous knowledge is often passed down through oral traditions and cultural practices. When interpreting this knowledge, it is essential to do so with respect for its origins and context. Adding interpretations or misrepresenting Indigenous knowledge can dilute its meaning and significance.
In conclusion, the Polynesians used a variety of methods to navigate the Polynesian Triangle, including celestial navigation, wayfinding, and navigational instruments. Their knowledge of the natural environment and their ability to read the stars and currents allowed them to travel vast distances across the open ocean with remarkable accuracy. When interpreting Indigenous knowledge, it is essential to do so with respect for its origins and context.
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answer; #13,#14,#15. ((PLEASE HELP ME)). ((due today)).
The domain and range of f(x) = -24 are given as follows:
Domain: all real values.Range: {-24.}The domain and range of f(x) = 0.5(x + 4)² - 11 are given as follows:
Domain: all real values.Range: f(x) >= -11.The range of y = -2x² + 12x - 13 is given as follows:
y <= 5.
How to obtain the domain and the range of a function?The domain of a function is the set that contains all the input values that can be assumed by the function.
As neither of the functions in this problem have any restriction, the domain is all real values for the two of them.
The range of a function is the set that contains all the output values that can be assumed by the function.
The ranges are given as follows:
Constant function: single constant, hence the {}.Quadratic functions: negative infinity to vertex (concave down) and vertex to positive infinity (concave up).More can be learned about the domain and the range of a function at https://brainly.com/question/30248800
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Identify the transformation from the graph of f(x) = x
3
to g(x) = (x − 4)
3
Answer:
The only difference between the two is the "-4" in the second function. This is a vertical translation. g(x) will give the same curve, but 4 units lower on the graph.
Answer:
a shift of 4 units right
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then shift to the left by a units
• If a < 0 then a shift to the right by a units
Thus for g(x) = (x - 4)³
The graph of g(x) is the graph of f(x) shifted 4 units to the right
12. Is 3 a solution to the equation 3x - 5
= 4 + 2x ? Explain
I
Answer:
No
Step-by-step explanation:
3x-5= 4+2x
Or, x=4+5
x=9