Answer:
thank you. someone had to say it
Step-by-step explanation:
Answer:
Omg ik what you mean i feel you
Step-by-step explanation:
Select all expressions that are squares of linear expressions.ap2 – 6p + 99x2 – 36x2 + 6x + 36Ex+4)2(2d + 8)(2d - 8)x2 + 36
Part a
p2 – 6p + 9
we know that
p2 – 6p + 9=(p-3)^2
so
the given expression is a square of linear equation
Part b
9x2 – 36=(3x-6)(3x+6)
the given expression is not a square of linear equation
Part c
x2 + 6x + 36
the given expression is not a square of linear equation
Part d
(1/2x+4)^2
he given expression is a square of linear equation
Please help me with this question!
A total of 3600 athletes partipated in the Singapore 2010 youth Olympic Games. There were 1200 media representatives who reported on the games, 20,000 volunteers who helped out during the games and 370,000 spectators who attended the games. Find the ratio of The number of media representatives to the number athletes to the number of spectators
Step-by-step explanation:
answer is in the image above
Find the area of the figure with the coordinates, S(-3, 5), A (1, 5), L(2, 1) and T(-6, 1).
Answer: a = 24 units²
Step-by-step explanation:
Let us graph the figure given. This shape appears to be a trapezoid. Now, we can solve for the area. This shape also has a height of 4, which I forgot to show in the picture.
In the formula, h is the height, a is a base, and b is the other base.
\(\displaystyle a=\frac{a+b}{2} h\)
\(\displaystyle a=\frac{4+8}{2} 4\)
\(\displaystyle a=\frac{12}{2} 4\)
\(\displaystyle a=(6)4\)
\(\displaystyle a=24\; \text{units}^{2}\)
Una compañía fabricó tres tipos de muebles: sillas, mecedoras y
sofás. Para la fabricación una silla, se necesitan 1 unidad de madera, 1
de plástico y 2 de aluminio; una mecedora lleva 1 unidad de madera, 1
de plástico y 3 de aluminio, mientras que para un sofá se precisa
utilizar 1 unidad de madera 2 unidades de plástico y 5 unidades de
aluminio. La compañía disponía de 400 unidades de madera, 600 de
plástico y 1500 de aluminio. Sabiendo que utilizó todas sus existencias
de materiales, ¿cuántos muebles de cada tipo fabricó (sillas, mecedoras,
sofás)? sistema de ecuación 3*3 método cramer
Answer:
neuf mille
je ne suis pas sûr
Step-by-step explanation:
Describe the long run behavior of f(x)=5(2)x+1:
As x→−[infinity], f(x) =
As x→[infinity], f(x) =
The long run behavior of the function f(x)=5(2)x+1 is that it approaches 1 as x approaches negative infinity and it approaches infinity as x approaches positive infinity.
The long-term behavior of the function f(x)=5(2)x+1 can be discovered by examining how the function behaves as x gets closer to negative and positive infinity.
As x→−[infinity], f(x) = 5(2)^ -∞+1 = 5(0)+1 = 1
As x approaches negative infinity, the value of the function approaches 1.
As x→[infinity], f(x) = 5(2)^ ∞+1 = 5(∞)+1 = ∞
As x approaches positive infinity, the value of the function approaches infinity.
As a result, the function f(x)=5(2)x+1 behaves in the long run in such a way that it approaches 1 as x approaches negative infinity and infinity as x approaches positive infinity.
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The position of a particle in the xy-plane at time t is r(t) = (t + 4) i + (t2 + 5) j. Find an equation in x and y whose graph is the path of the particle.
The equation in x and y whose graph is the path of the particle is y = x2 - 8x + 21. This is a parabolic equation, which is symmetric about the vertical line x = 4. It opens upward since the coefficient of x2 is positive, indicating that the particle moves upwards as time increases.
The position of the particle is given by the vector-valued function r(t) = (t + 4) i + (t2 + 5) j, where i and j are the standard basis vectors in the x and y directions, respectively. To find an equation in x and y whose graph is the path of the particle, we can eliminate the parameter t.
We start by solving for t in terms of x: t = x - 4. Substituting this expression into the equation for y, we get y = (x - 4)2 + 5 = x2 - 8x + 21.
Therefore, the equation in x and y whose graph is the path of the particle is y = x2 - 8x + 21. This is a parabolic equation, which is symmetric about the vertical line x = 4. It opens upward since the coefficient of x2 is positive, indicating that the particle moves upwards as time increases.
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use the laplace transform to solve the given initial-value problem. y' 5y = f(t), y(0) = 0, where f(t) = t, 0 ≤ t < 1 0, t ≥ 1
The solution to the initial-value problem using the Laplace transform is y(t) = (1/25)(1 - \(e^{(-5t)\)) - (1/25)t + (1/125)\(e^{(-5t)\).
To solve the given initial-value problem using Laplace transform, we will first take the Laplace transform of the given differential equation and apply the initial condition.
Take the Laplace transform of the differential equation:
Applying the Laplace transform to the equation y' + 5y = f(t), we get:
sY(s) - y(0) + 5Y(s) = F(s),
where Y(s) represents the Laplace transform of y(t) and F(s) represents the Laplace transform of f(t).
Apply the initial condition:
Using the initial condition y(0) = 0, we substitute the value into the transformed equation:
sY(s) - 0 + 5Y(s) = F(s).
Substitute the given function f(t):
The given function f(t) is defined as:
f(t) = t, 0 ≤ t < 1
f(t) = 0, t ≥ 1
Taking the Laplace transform of f(t), we have:
F(s) = L{t} = 1/s²,
Solve for Y(s):
Substituting F(s) and solving for Y(s) in the transformed equation:
sY(s) + 5Y(s) = 1/s²,
(Y(s)(s + 5) = 1/s²,
Y(s) = 1/(s²(s + 5)).
Inverse Laplace transform:
To find y(t), we need to take the inverse Laplace transform of Y(s). Using partial fraction decomposition, we can write Y(s) as:
Y(s) = A/s + B/s² + C/(s + 5),
Multiplying both sides by s(s + 5), we have:
1 = A(s + 5) + Bs + Cs².
Expanding and comparing coefficients, we get:
A = 1/25, B = -1/25, C = 1/125.
Therefore, the inverse Laplace transform of Y(s) is:
y(t) = (1/25)(1 - \(e^{(-5t)\)) - (1/25)t + (1/125)\(e^{(-5t)\).
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in the morning, Pablo drives 120 miles. This
is one-third of the total distance he needs
to drive. What equation can you solve to
find the total distance Pablo must drive
Answer:
120 x 3 = 360 miles
Step-by-step explanation:
What is the value of x + y? I've tried to figure out how to solve this, but I'm not very good at it, any help would be amazing!!
9514 1404 393
Answer:
x + y = 60
Step-by-step explanation:
Vertical angles are congruent.
Equation/Solution for x:
85 = 3x +55
30 = 3x . . . . . . subtract 55 from both sides
10 = x . . . . . . . divide both sides by 3
Equation/Solution for y:
95 = 2y -5
100 = 2y . . . . add 5 to both sides
50 = y . . . . . . divide both sides by 2
The objective:
x + y = 10 + 50
x + y = 60
The length of time needed to complete a certain test is normally distributed with a mean of 57 and a standard deviation of 8. Determine (a) the percent of people that take between 49 and 65 minutes to complete the exam, and (b) the interval of completion times containing the middle 95% of test-takers.
The interval of completion times containing the middle 95% of test-takers is approximately [40, 74].
We are given the mean μ = 57 and the standard deviation σ = 8 of the length of time needed to complete a certain test, which is normally distributed.A) We need to find the percent of people that take between 49 and 65 minutes to complete the exam.To find this, we can use the z-score formula as follows;z = (x - μ) / σ, where x = completion time= 49 minutesz1 = (49 - 57) / 8= -1z2 = (65 - 57) / 8= 1
Now, we need to find the area under the normal curve between these z-scores as shown in the figure below;z1 = -1, z2 = 1We can see that the area under the normal curve between -1 and 1 is approximately 0.6826. Therefore, the percent of people that take between 49 and 65 minutes to complete the exam is 68.26%.B) We need to find the interval of completion times containing the middle 95% of test-takers.To find this, we need to find the z-scores corresponding to the middle 95% of test-takers from the normal distribution table or calculator.
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edimentation tanks are often used as the first step in wastewater treatments. To make sure the entire water treatment process runs smoothly, we need to make sure that each step runs efficiently. In this wastewater plant, the sedimentation tank has a volume capacity of 17,000 m3. If a detention time of 3.4 hours is required, what should you have the flow rate set to in ML/day?
The correct answer is - the flow rate should be set to 14,444 ML/day to ensure a detention time of 3.4 hours is maintained.
Solution- 14,444 ML/day
Firstly, convert the tank capacity to litres since the flow rate will be in ML/day.17,000 m³ = 17,000,000 litres
The formula for calculating the flow rate is: Flow rate = Tank volume / Detention time
Flow rate = 17,000,000 litres / (3.4 hours x 24 hours)
Flow rate = 17,000,000 litres / 81.6 hours
Flow rate = 208,333.33 litres/hour
Now that we have calculated the flow rate in litres per hour, we can convert it to mega litres per day (ML/day) by multiplying by 24 and dividing by 1,000,000.
Flow rate = 208,333.33 litres/hour x 24 / 1,000,000 = 5 ML/day
Therefore, the flow rate should be set to 14,444 ML/day to ensure a detention time of 3.4 hours is maintained.
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If x=7 and y=−5, evaluate the following expression:3x−y2
Answer:
the expression is equal to 31
Step-by-step explanation:
3x-y23(7) - (-5)221 - (-10)21 + 10 = 31Answer:
31
Step-by-step explanation:
Substitute x and y into the equation to get..
(3×7)-(-5×2)
21- -10
31
Hope this helps :)
Question 5
Which expression is equivalent to 3/5
Answer:
6/10
Step-by-step explanation:
Round 29.675 to
the hundredths place.
Answer:
29.68
Step-by-step explanation:
If you are rounding to the hundredth place, you take the number in the hundredth place and round it. If it is less than five, for example, if you were rounding 29.674 then it would be 29.67 because 4 is not 5 or more. With 29.675 you will round to 29.68. A saying to remember is, five or above, give it a shove.
Look at the graph below. Which of the following best represents the slope of the line? A. -3 B. - 1 3 C. 1 3 D. 3
Answer:
3
Step-by-step explanation:
The slope of the given line is \(\frac{2}{3}\).
What is the slope of a line passing through two points?If a line passes through two points (x₁, y₁) and (x₂, y₂) respectively, then slope of the line is \(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)
Here, the given line passes through points (0, 6) and (-9, 0).
Therefore, the slope of this line is (m)
\(= \frac{0 - 6}{-9 - 0}\\= \frac{6}{9} \\= \frac{2}{3}\)
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2. Which expression below can be simplified to 2x + 11?
A. x + x + 11
B. x + 2 + 11
C. x + 7 + 4
A. x+x+11 is the expression can be best simplified for equation 2x+11
Explain equationA statement that establishes the equivalence of two expressions is known as an equation in mathematics. It has two sides containing expressions on each, each separated by the equals symbol (=).
For example, the equation x + 2 = 5 asserts that the expression on the left side, x + 2, is equal to the expression on the right side, 5. This equation can be solved for the variable x, by subtracting 2 from both sides, to obtain x = 3, which is the value that satisfies the equation.
Given equation 2x+11
2x can be written as x+ x
So, expression can be written as
x+x+11
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Solve.
11. Antoine measured a tree in his yard to be
4 meters tall. Each meter is equivalent to
100 centimeters. How tall, in centimeters,
was the tree that Antoine measured?
which of the rectangular solids shown above has a volume closest to the volume of a right circular cylinder with radius 2 and height 4 ?
The volume of the rectangular solids that is similar to the volume of a right circular cylinder is rectangular solid E.
Which volume of the rectangular solids is similar to volume of a right circular cylinder?Cuboid A:
Volume of rectangular solid = length × width × height
= 3 × 3 × 3
= 27 cubic units
Cuboid B:
Volume of rectangular solid = length × width × height
= 3 × 3 × 4
= 36 cubic inches
Cuboid C:
Volume of rectangular solid = length × width × height
= 5 × 4 × 3
= 60 cubic inches
Cuboid D:
Volume of rectangular solid = length × width × height
= 4 × 4 × 4
= 64 cubic inches
Cuboid E:
Volume of rectangular solid = length × width × height
= 4 × 4 × 3
= 48 cubic inches
Right circular cylinder:
Radius, r = 2
Height, h = 4
Volume of right circular cylinder = πr²h
= 3.14 × 2² × 4
= 3.14 × 4 × 4
= 50.24 cubic units
Hence, rectangular solid E is similar to right circular cylinder.
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A piece of paper has a mass of 4.4 grams. A feather has a mass of 8.0 x 10-3 gram. The mass of the piece of paper is how many times greater than the mass of the feather?
5.5 x 10-3
5.5 × 10³
5.5 × 10-4
5.5 × 10²
Answer:
26x.27
Step-by-step explanation:
You take the 3rd power of 5.5
Answer 5.5x 10.3
The mass of paper is 550 times greater than the mass of father.
How to determine how many times greater of less a quantity is relative to the other quantity ?To determine how times greater or less a quantity is relative to the other quantity we have to divide the reference quantity by the another quantity.
According to the given question a piece of paper has a mass of 4.4 grams.
Also given that a feather has a mass of 8.0×10⁻³ grams which can be written as 0.008 grams.
Now to obtain how many times mass he piece of paper has compared to the feather we have to divide mass of paper by mass of feather which is
= (4.4/0.008) times.
= 550 times.
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solve in simplest form
15 3/5 - 3 2/7
Answer:
12 11/35
Step-by-step explanation:
Given Data
First term= 15 3/5
To simple fracrion= 78/5
Second term= 3 2/7
To simple fracrion= 23/7
Hence the operation goes thus
= 78/5- 23/7
LCM = 35
=546-115/35
=431/35
=12 11/35
Answer:
\( 12 \frac{11}{35} = \frac{431}{35} \)
Step-by-step explanation:
\(15 \frac{3}{5} - 3 \frac{2}{7} \\ (15 - 3) + ( \frac{3}{5} - \frac{2}{7} ) \\ 12 + ( \frac{3}{5} - \frac{2}{7} ) \\ 12 + \frac{11}{35} \)
\( \boxed{Answer:{\boxed{\green{= 12 \frac{11}{35} = \frac{431}{35}}}}} \)
When negative five is subtracted from a number the result is 10. Find the number.
-5
15
05
-15
Classify the expression by the number of terms.
4x²-x³+3x+2
Obinomial
None of these
Otrinomial
O not a polynomial
A car with a cost price of $5200 is
sold at a profit of 15%. Calculate the
selling price
Answer:
We are given the initial price of a car and we are also told that the car sold for a 15% profit which means that the price that the car was sold for is 15% more than it's initial price. This is just a simple multiplication problem which we multiply the initial price by the total percentage plus 0.15
\(Sold\ Price = Initial\ Price *(Total\ Percentage+Profit\ Percentage)\)
\(Sold\ Price = \$5200*(1+0.15)\)
\(Sold\ Price = \$5200*(1.15)\)
\(Sold\ Price = \$5980\)
Therefore, our final answer is that the selling price was $5980
Hope this helps!
The difference of x and 4 (Algebraic expression)
Answer:
x - 4
Step-by-step explanation:
The difference means subtraction
The algebraic expression of the phrase is x-4.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given phrase:
The difference of x and 4.
Here, we have the phrase difference.
So, we will use the subtraction operation.
So, the algebraic expression,
x - 4.
Therefore, x -4 is the algebraic expression.
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What is (2x + 3) to the 2 power
Answer:
4x² + 12x + 9
Step-by-step explanation:
Simplify. Expand:
(2x + 3)² = (2x + 3)(2x + 3)
Use the FOIL method to solve.
FOIL =
First
Outside
Inside
Last
Multiply:
(2x)(2x) = 4x²
(2x)(3) = 6x
(3)(2x) = 6x
(3)(3) = 9
Combine like terms:
4x² + 6x + 6x + 9 = 4x² + (6x + 6x) + 9 = 4x² + 12x + 9
4x² + 12x + 9 is your answer.
~
Answer:
4x^2+12x+9
Step-by-step explanation:
use FOIL (first, inner, outer, last)
(2x+3)(2x+3)
4x^2+6x+6x+9
then simplify
What add this /6=25/30
Answer:5/6
Step-by-step explanation:
simplify
What is the following sum4/5+2/5
Answer:
6/5 or 1 1/5
Edit:
soo
\(4\sqrt{5} + 2\sqrt{5}\) = \(6\sqrt{5}\)
since they both are being multipled to the square root of 5, you can just add them (i think)
Step-by-step explanation:
6 times the square root of 5
you add 4 and 2
how many digits are in e2020?
2021 878 877 2020
e2020 has 707 digits.
e is the mathematical constant known as the base of the natural logarithm, which means that the logarithm of any number to the base e is its natural logarithm. It is approximately equal to 2.71828, but its decimal representation goes on infinitely without repeating.
Calculating the number of digits in e2020 involves finding the number of decimal places that e extends past 2020. This is calculated using logarithms.
To find the number of digits in e2020, you can calculate 10^(number of decimal places past 2020) and determine the number of digits in the result.
This gives us 10^(707) = e2020, meaning that e2020 has 707 digits.
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. construct a 3 x 3 matrix, not in echelon form, whose columns span lr 3. show that the matrix you construct has the desired property.
A 3x3 matrix that has columns spanning R^3 can be constructed by choosing three linearly independent vectors and it satisfies the desired property.
To construct a 3x3 matrix whose columns span R^3, we need to choose three linearly independent vectors. Let's consider the following matrix:
A = [[1, 0, 0],
[0, 1, 0],
[0, 0, 1]]
In this matrix, each column represents a basis vector for R^3, namely the standard basis vectors [1, 0, 0], [0, 1, 0], and [0, 0, 1]. Since these vectors are linearly independent and span R^3, the columns of the matrix A also span R^3.
To demonstrate this, consider an arbitrary vector x in R^3. We can express x as a linear combination of the columns of A by taking the coefficients as the entries of x. Let x = [x1, x2, x3]. Then, we have:
x1 * [1, 0, 0] + x2 * [0, 1, 0] + x3 * [0, 0, 1] = [x1, x2, x3]
Since x is an arbitrary vector in R^3, we have shown that the columns of A span R^3. Therefore, the matrix A satisfies the desired property.
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