The expanded form of the expression (2a/3 - 6b/11) (4ab/11 + 36b^2/121 + 4a^2/9) is: (8a^2b/33 - 24ab^2/55 + 8a^3/27) + (-24ab^2/33 + 72b^3/121 - 24a^2b/27) + (8a^3/99 - 24a^2b/121 + 8a^4/81).
To expand the given expression, we multiply each term from the first expression (2a/3 - 6b/11) by each term from the second expression (4ab/11 + 36b^2/121 + 4a^2/9). Then, we combine like terms.
The expanded form consists of three terms:
(8a^2b/33 - 24ab^2/55 + 8a^3/27)
(-24ab^2/33 + 72b^3/121 - 24a^2b/27)
(8a^3/99 - 24a^2b/121 + 8a^4/81)
These terms result from multiplying each term from the first expression by each term from the second expression and simplifying the coefficients and exponents.
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If y(x) = 2x-5, then f(4) is A. 17 B.5 C.4 D.3
Answer:
i think the answer is 3
Step-by-step explanation:
Try it
What is the solution set to the inequality -3x + 5.9 ≥-15.4 for x in the set {-10, -5, 0, 5, 10}
Answer:
\(-10, -5, 0, 5\)
Step-by-step explanation:
\(-3x+5.9 \geq -15.4 \\ \\ -3x \geq -21.3 \\ \\ x \leq 7.1 \\ \\ \therefore x=-10, -5, 0, 5\)
HELP ASAP ASAP PLEASE
Answer:
16
Step-by-step explanation:
20^2-12^2=256
400-144=256
sqrt 256 = 16
Find the volume of the cone. Round to the nearest tenth.
answer choices:
10,306.0 m³,
763.4 m³,
41,224.0 m³,
20,612.0 m³
Answer:
20,612.0 m³
Step-by-step explanation:
Formula for area of cone: 1/3h\(\pi\)r²
Since there is a 45 - 45 - 90 triangle and 27 meters is one of the congruent sides, the other side must also be 27 meters.
Then, just plug it in.
1/3 x 27m x 3.1415... x (27m)²
= (27m)³ x 3.1415 x 1/3
= 20,611.3815m³
≈ 20,612.0 m³
Find the particular solution to the differential equation
dy/dx=sin(x)-3
that satisfies the condition that y=pi when x=3pi/2
Give your answer in the formy=f(x)
The particular solution to the given differential equation dy/dx = sin(x) - 3 is, y = - cos x - 3 x + 11π/2.
Given the differential equation is,
dy/dx = sin(x) - 3
dy = (sin x - 3) dx
Integrating the above differential equation we get,
∫ dy = ∫ (sin x - 3) dx
∫ dy = ∫ sin x . dx - ∫ 3 . dx
y = - cos x - 3 x + C, where C is the Integrating Constant. ............ (i)
Here the initial condition is when x = 3π/2 then y = π so putting this in equation (i) we get,
π = - cos (3π/2) - 3 (3π/2) + C
- 9π/2 + C = π
C = π + 9π/2 = 11π/2
Hence the particular solution of the differential equation is, y = - cos x - 3 x + 11π/2.
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If y varies directly with x according to the relationship y = kx, and y = 7.5 when x = 2.5, determine the constant of variation k.
Answer:5
Step-by-step explanation:
Find the values of the variables and the measures of the angles
Answer:
Add each given variable
(6x + 10) + (x + 2) + x = 8x + 12
The sum of all the angles equals 180ᴼ
8x + 12 = 180
Subtract 12 from both sides
8x = 168
Divide by 8 on both sides
x = 21
Now plug in 21 for each x to find the measure of each angle.
(6[21] + 10) = 126 + 10 = 136ᴼ
(21 + 2) = 23ᴼ
x = 21ᴼ
PLS HELP ME THIS IS HARDD
Answer:
it would be the second answer because the shape has to get 3/4 smaller than the pre-image
Step-by-step explanation:
A movie theater sends out a coupon for 90% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket.
An artist is going to cut four similar right triangles from a rectangular piece of paper like the one shown to the right. What is BE to the nearest tenth when AC=13
The measurement of altitude BE is 4 unit.
What is an altitude?As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.
As ABCD is rectangle
AD = BC = 12
ΔABC = ΔBCD
BE = FD
5² = 3²+BE²
AE = 3
BE = √(5²-3²)
BE = 4
Thus, The measurement of altitude BE is 4 unit.
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A quadratic and a curvilinear term are the same thing.
True
False
A curvilinear term in mathematics is "Consisting of, bounded by, or characterized by a curved line." However, the definition of a quadratic is a second-order polynomial equation in a single variable \(0= ax^{2}+bx+c\) with
\(a\neq 0\). A quadratic is a curvilinear term according to my definition, but a function like \($x^{4}$\) would also fit the definition of curvilinear. So, your answer is
False, a quadratic and a curvilinear term are not the same.
False, a curvilinear term is more broad, but quadratics have specific restrictions.
Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)
Create a circle using the center with given point tool.
Use the compass tool to create three more circles, with the same radii as the first.
Connect the point with a line through the center of the circle.
Create another circle with the same radius as the original.
Answer:
again i can not see the given point
Step-by-step explanation:
The union of two sets is a set that contains only the elements that appear in both sets
a. True
b. False
The union of two sets is to avoid counting the same elements twice.
What is set?
The mathematical logic subfield of set theory investigates sets, which can be loosely defined as collections of objects. Although any object can be combined into a set, set theory, as a mathematical discipline, focuses primarily on those that are relevant to mathematics as a whole.
Given union of set
(A ∪ B),
The set of all objects that are members of either A or B, or both, is the union of the sets A ∪ B.
let us take example,
A = { 1, 2, 3, 4}
B = {3, 4, 5, 6, 7}
(A ∪ B) = { 1, 2, 3, 4} ∪ {3, 4, 5, 6, 7}
we can simply write all of A and B's elements in a single set to avoid duplicates to find A U B.
(A ∪ B) = {1, 2, 3, 4, 5, 6, 7}
Hence the union of two sets is a set that contains all the elements of both set and avoid duplicates.
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what is the total surface area of the triangular prism
I NEED HELP ASAP!!!!!!!
Answer:
y = -0.5x + 3
Step-by-step explanation:
The equation of a linear model is generally represented as;
y = mx + b
where m
is slope and b is the y-intercept
We can get slope by using the slope equation
m =
(y2-y1)/(x2-x1)
(x1,y1) = (-4,5)
(x2,y2) = (4,1)
m = (1-5)/(4 + 4) = -4/8 = -0.5
The equation is thus;
y = -0.5x + b
to get b, we substitute any of the two points coordinates
1 = -0.5(4) + c
1 = -2 + c
c = 2 + 1
c = 3
PLS HELP ME I BEG YOU i will give you 15 points !!
Answer:
Vertex: (3, 2)
Axis of Symmetry: 3
Opens: UP
Step-by-step explanation:
I think this is the anwer. Im not sure though
4(2x + 1) = 6x + 10
Help
Answer:
x=3
Step-by-step explanation:
Hello! :)
4 (2x + 1) = 6x + 10 Simplify both sides of the equation
(4) (2x) + (4) (1) = 6x + 10 Distribute
8x + 4 = 6x + 10
8x + 4 − 6x = 6x + 10 − 6x subtract 6x from both sides
2x + 4 = 10
2x + 4 - 4 = 10 - 4 Subtract 4 from both sides
2x = 6
2x/2 = 6/2 Divide both sides by 2
6/2 = 3 Simplify
x = 3 (ANSWER)
Hope this helped you!
THEDIPER
With the information given, can you prove that this quadrilateral is a parallelogram?
Yes or No
Answer:
yes
Step-by-step explanation:
You want to know if the quadrilateral can be proven to be a parallelogram if opposite angles are congruent.
AnglesThe angles of a quadrilateral have a sum of 360°. If there are two pairs of congruent angles, the sum of angles of each pair must be 180°. If adjacent angles are supplementary, then opposite sides are parallel. A quadrilateral with opposite sides parallel is a parallelogram.
Yes, the figure can be proven to be a parallelogram.
which answer is it to dis question?
Answer:
Step-by-step explanation:
(A) is the right
-2 + 3x = 6wv, for x
(please provide a step by step answer!)
Answer:
Step-by-step explanation:
-2 + 3x = 6wv
Add 2 to both sides
3x = 6wv + 2
Divide the entire equation by 3
\(\dfrac{3x}{3}=\dfrac{6wv+2}{3}\\\\\\x = \dfrac{6wv+2}{3}\)
What is | -5 | ?5
thank you
Answer:
5
Step-by-step explanation:
the absolute value of every single number known to mankind is the distance from zero and that number. So the absolute value will no matter what always be that number, positive.
Determine the points of intersection of the given
functions.
y=-x2 + 3x + 20
y = -2x + 15
Describe the features of the graphing calculator you
would choose and why.
Answer:
New questions in Mathematics
Find the volume of a pyramid with a square base, where the side length of the base is 18.7 ft and the height of the pyramid is 8.8 ft. Round your answ…
(USE THE CIRCLE GRAPH BELOW.) Magazine Sales Total $25,000 Boating 10% Sports 35% Other 5% Adults 20% Teens 30% What is the amount of sales for boatin…
Step-by-step explanation:
i need help with this problem, but i don't want someone to just give me the answer. i need it to be taught step-by-step to me because for some reason i can't understand how everyone tells me to do it. i need to learn this as I've been on this one test for the past 2 weeks. I've been trying to find a tutor or something that will actually help me the way i need to be helped. so please, just give me a simple answer that will help me with the 3 other questions after it.
the lesson name is called solving real world systems of equations via elimination.
here is the question:
jared bought 7 cans of paint. a can of red paint costs 3.75. a can of black paint costs 2.75. jared spent 22.25 in all. how many cans of black (b) and how many cans of red (r) did he buy?
r+b=7
3.75 + 2.75 = 22.25
this is a lesson in 8th grade math.
Answer:
Hallo, I will help you with the problem T^T
Step-by-step explanation:
3.75r + 2.75b = 22.25
3.75r = The amount a red can costs, MULTIPLIED BY the amount of red cans they bought!
2.75b = The amount a black can costs, MULTIPLIED BY the amount of black cans they bought!
So this means that they bought:
3 cans of red paint.
And 4 cans of black paint.
Now you may be thinking, how do you know?
If you multiply the COST 3.75, by 3 cans of red paint, you get 11.25
And then if you multiply the COST of the black paint (The cost for a can of black paint is 2.75) multiply that by 4, you get 11 :0
So add 11 + 11.25 and you get 22.25 :]
Comment if you have any questions, no matter how insignificant you think they may be, I will help you :]
The sampling distribution of a−a is approximated by a normal distribution if are all greater than or equal to 5 . n 1 p 2 ,p 2 (1−n 2 ),n 2 p 1 ,p 1 (1−n 1 ) n1p 1 ,p 1 (1−n 1 ),n 2 p 2 ,p 2 (1−n 2 ) n1p 2 ,n 1 (1−p2 ),n 2 p 1 ,n 2 (1−p 1 ) n1p2 ,n 1 (1−p 1 ),n 2 p 2 ,n 2 (1−p 2 )
The conditions for the sampling distribution of a difference in proportions to be approximated by a normal distribution are: n1 ≥ 5, n2 ≥ 5, n1p1 ≥ 5, n1p2 ≥ 5, n2p1 ≥ 5, n2p2 ≥ 5.
The formula provided seems to be a combination of various terms related to sample sizes (n1 and n2) and probabilities (p1 and p2). It appears to be related to the conditions for the approximation of the sampling distribution of a difference in proportions by a normal distribution.
In general, for the sampling distribution of a difference in proportions to be approximated by a normal distribution, the following conditions should be satisfied:
1. Both sample sizes (n1 and n2) are greater than or equal to 5.
2. For each sample, the product of the sample size (ni) and the probability of success (pi) is greater than or equal to 5 (n1p1 ≥ 5, n1p2 ≥ 5, n2p1 ≥ 5, n2p2 ≥ 5).
Please note that the formula provided is incomplete and lacks context or a specific question. If you have a specific question or need further clarification, please provide more details.
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what is the length of latus rectum for (y + 3)^(2)= 12(x - 1)
Answer:
12 units
Step-by-step explanation:
The lactus rectum for a parabola is equal to 4 times the length of the focus from the vertex. Therefore, we need to determine the focus \((h+p,k)\) by using the equation \((y-k)^2=4p(x-h)\) for a vertical parabola.
We can deduce that \(k=-3\), \(h=1\), and \(p=3\). Therefore, the focus of the parabola is \((1+3,-3)\) or \((4,-3)\).
Because the focus is \((4,-3)\), then it is 3 units away from the vertex \((4,0)\), making the length of the latus rectum 3*4=12 units.
Let In M = st 12x + 30 dx x2+2x–8 What is the value of M? M +C 0 (x+4) 3 (x-2) None of the Choices O C(x+4) 3(x - 2) O C(x-4)2(x+2)
The value of M can be found by evaluating the definite integral of the given function over the given interval.
Start with the integral: \(∫[0, 12] (12x + 30)/(x^2 + 2x - 8) dx.\)
Factor the denominator:\((x^2 + 2x - 8) = (x + 4)(x - 2).\)
Rewrite the integral using partial fraction decomposition:\(∫[0, 12] [(A/(x + 4)) + (B/(x - 2))] dx\), where A and B are constants to be determined.
Find the values of A and B by equating the numerators: \(12x + 30 = A(x - 2) + B(x + 4).\)
Solve for A and B by substituting suitable values of \(x (such as x = -4 and x = 2)\) to obtain a system of equations.
Once A and B are determined, integrate each term separately: \(∫[0, 12] (A/(x + 4)) dx + ∫[0, 12] (B/(x - 2)) dx.\)
Evaluate the integrals using the antiderivatives of the respective terms.
The value of M will depend on the constants A and B obtained in step 5, which can be substituted into the final expression.
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given this information, in order to use her 4 hours of time spent studying to get the highest possible test score, how many hours should she have spent solving multiple choice problems, and how many hours should she have spent reviewing lecture notes? 0 hours working on problems, 4 hours reading 2 hours working on problems, 2 hours reading 3 hours working on problems, 1 hour reading 4 hours working on problems, 0 hours reading
The most effective way to use her 4 hours of study time to get the highest possibility or probability of test scores would be to spend 4 hours working on multiple-choice problems and 0 hours reviewing lecture notes.
From the information given, it is clear that working on multiple-choice problems is the most effective way to improve her test score. Therefore, the highest possibility or probability of test scores would be achieved by spending the most time working on multiple-choice problems.
The available time for studying is 4 hours, so the maximum time that can be spent working on multiple-choice problems is 4 hours. If she spends 4 hours working on multiple-choice problems, she will not have any time left to review lecture notes.
So, the most effective way to use her 4 hours of study time to get the highest possible test score would be to spend 4 hours working on multiple-choice problems and 0 hours reviewing lecture notes.
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Find the area under the standard normal distribution curve to the right of z = 2. 13 ?.
The area under the standard normal distribution curve to the right of z = 2. 13 is 0.9896
what is standard normal distribution curve?
With a mean of 0 and a standard deviation of 1, the standard normal distribution is a normal distribution. The standard deviation, which indicates how much a given measurement deviates from the mean, is given by the standard normal distribution, which has zero as its center.
solution:
Here, P( z ≥ 2.13 ) = 0.9896 ( From the Area of standard normal distribution curve)
Hence the Area under the curve is 0.9896
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fully simplify (2x+y)^2
Answer:
4
2
+
4
+
2
Step-by-step explanation:
How do i solve this?
Answer:
x = 45/2 or 22.5
Step-by-step explanation:
Since we are given CDE ~ KLM, we know that C is similar to K, D is similar to L, and E is similar to M. The problem asks to find DE, so by comparison, it is known that DE is similar to LM.
From the two triangles, KM is similar to CE, and we can see that the ratio between the two is 8:15. We are given LM, which is 12, so we can find x using this equation to compare the smaller triangle to the bigger one:
KM/CE = LM/DE
Plug in your given values:
8/15 = 12/x
Find x:
x = 45/2 or 22.5