By using the concept of conjugate, it can be calculated that
Conjugate of \(x + \sqrt{y}\) is \(x - \sqrt{y}\)
What is conjugate?
Conjugating is the process of changing a verb in a sentence to match the person, number, gender, tense, mood, and voice of the subject. For example, the verb "to walk" changes to "walked" when conjugated in the past tense. Conjugation is important in many languages, including English, as it helps to make communication more precise. Conjugation involves making changes to the base form of the verb, such as adding suffixes or prefixes, or changing the spelling of the word. Different languages have different rules for conjugating verbs, so it is important to understand the language’s system of conjugation before attempting to use it.
Here the expression is \(x + \sqrt{y}\)
Conjugate of \(x + \sqrt{y}\) is \(x - \sqrt{y}\)
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Round 43.7575 to the nearest thousandth.
Answer:43.76?
Step-by-step explanation:
Answer:
haha tanish its 43.758
Step-by-step explanation:
what is the value of this expression when x = -5 and y = -3 \(\frac{2}{3} x^{3} y^{2}\)
Answer:
y = - 750
Step-by-step explanation:
Given
y = \(\frac{2}{3}\) x³y² ← substitute x = - 5, y = - 3 into the expression
= \(\frac{2}{3}\) × (- 5)³ × (- 3)²
= \(\frac{2}{3}\) × - 125 × 9 ( cancel the 3 and 9 )
= 2 × - 125 × 3
= - 750
Please help me solve this question!!
Answer:
Step-by-step explanation:
i’ll give brainlist
Answer:
option B
option C
4:40pm
2:45pm
option d
3:30
Step-by-step explanation:
please consider as brainlest que.
Suppose you learn a word embedding for a vocabulary of 10000 words. Then the embedding vectors should be 10000 dimensional, so as to capture the full range of variation and meaning in those words.
True
False
False. The statement is not necessarily true. While it is possible to have word embeddings that are 10000 dimensional for a vocabulary of 10000 words.
It is not a requirement to capture the full range of variation and meaning in those words. The dimensionality of word embeddings is not solely determined by the size of the vocabulary, but rather by various factors such as the complexity of the underlying semantic relationships and the specific modeling techniques used.
In practice, word embeddings are often created using techniques like Word2Vec or GloVe, which typically produce lower-dimensional embeddings (e.g., 100 to 300 dimensions). These lower-dimensional embeddings have been shown to effectively capture important semantic relationships and patterns in language, while also reducing the computational complexity and memory requirements. The choice of dimensionality depends on the specific application and the trade-off between capturing sufficient information and computational efficiency.
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ANSWER THIS TO GET 23 POINTS AND BRAINLIEST
Ohhh, interest problems. I haven't done an equation like this in a long time, but I will attempt.
I would say that the answer is the 2nd option. The equation is i = (5200)(0.06)(2.5).
The traditional interest formula is I = (P)(R)(N).
P = the original amount of money given
R = interest rate
N = the amount of time
I hope this answers your question (and that I understood the question correctly!).
-Toremi
46x= -23
Solve please
Answer:
73urur
Step-by-step explanation:
ndndndnfnnfnfjgjfjf
Answer:
-0.5
Step-by-step explanation:
x=-23÷46
x=-0.5
that's the answer :)
Look at the equation 14=98 work out the value of 140n work out the value of (14 n+1?)
The value of (14n + 1) is 99.
To work out the value of 140n, we can divide both sides of the equation 14 = 98 by 14:
14/14 = 98/14
1 = 7
Now, we can multiply both sides of the equation 1 = 7 by 140 to find the value of 140n:
140n = 140 * 7
= 980
Therefore, the value of 140n is 980.
To work out the value of (14n + 1), we can substitute the value of n into the expression:
(14n + 1) = (14 * 7 + 1)
= (98 + 1)
= 99
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HELP!!! PLS ASAP!!! GIVNG BRAINLIEST AND 60 P0INTS TO BEST ANSWERS AND MODELS FOR THESE 3 QUESTION!!! PLS HELP AS FAST AS U CAN!
Answer:
1. 5/12
2. 3/8
3. 1/4
Step-by-step explanation:
Divide.
42−8
Enter your answer as a mixed number, in simplified form, in the box.
Using the diagram below classify the angle pairs as corresponding, alternate interior angles, alternate exterior angles, consecutive interior or none.
Answer:
The corresponding angles in pairs are;
∠1 and ∠5, ∠2 and ∠6, ∠9 and ∠13, ∠10 and ∠14,
∠3 and ∠7, ∠4 and ∠8, ∠11 and ∠15, ∠12 and ∠16
∠1 and ∠3, ∠2 and ∠4, ∠9 and ∠11, ∠10 and ∠12
∠7 and ∠5, ∠8 and ∠6, ∠15 and ∠13, ∠16 and ∠14
The alternate interior angles are;
∠9 and ∠4, ∠10 and ∠3, ∠8 and ∠13, ∠7 and ∠14
∠2 and ∠13, ∠10 and ∠5, ∠4 and ∠15, ∠7 and ∠12
The alternate exterior angles are;
∠1 and ∠12, ∠2 and ∠11, ∠5 and ∠16, ∠6 and ∠15
∠1 and ∠14, ∠9 and ∠6, ∠3 and ∠16, ∠11 and ∠8
Consecutive interior angles
∠9 and ∠3, ∠10 and ∠4, ∠13 and ∠7, ∠14 and ∠8
∠2 and ∠5, ∠10 and ∠13, ∠4 and ∠7, ∠12 and ∠15
None
Some of the angles without specific relations are;
∠1 and ∠4, ∠2 and ∠3, ∠5 and ∠8, ∠6 and ∠7, ∠9 and ∠12, ∠10 and ∠11, ∠13 and ∠16, ∠14 and ∠15, ∠6 and ∠12, ∠5 and ∠11, ∠1 and ∠16, ∠2 and ∠15, ∠1 and ∠8, ∠2 and ∠12, ∠9 and ∠7, ∠10 and ∠8
Step-by-step explanation:
Corresponding angles are angles on the same side of two lines that are crossed by a given transversal
Alternate interior angles are angles on the inner but opposite sides of two lines crossed by a transversal
Alternate exterior angles are angles on the outer but opposite sides of two lines crossed by a transversal
Consecutive interior angles are angles that are next to each other on the same side of the transversal and in between the two lines.
A bin contains THREE (3) defective and SEVEN (7) non-defective batteries. Suppose TWO (2) batteries are selected at random without replacement. a) Construct a tree diagram. b) What is the probability that NONE is defective? c) What is the probability that at least ONE (1) is defective? QUESTION 2 (9 MARKS) Bifa is interested in buying pre-loved clothes distributed to orphanages and foster homes.
Eddie walks 450.25 feet in 2.5 minutes. Which value is closest to the number of yards Eddie walks in 1 minute?
Eddie walks 60.03 yards in 1 minute using proportion.
What is proportion?
The term proportionality refers to any relationship that has the same ratio every time. The proportional relationship between the two supplied ratios is defined by an equation. In other terms, the proportion declares that the two fractions or ratios are equal. For instance, the average number of apples per tree determines the proportionality between the quantity of apples in a crop and the number of trees in the orchard.
Here let us take time and distance as proportional values,
=> \(\frac{distance}{Time}\)
=> 450.25/2.5 = x/1
=> x = 180.1 feet.
To convert feet to yards divide the length by 3. then
=> 180.1/3=60.03 yards,
Therefore Eddie Walks 60.03 yards in 1 minute.
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Suppose that $2600 is invested at an interest rate of 2.75% per year, compounded continuously. After how many years will the initial investment be doubled?
Do not round any intermediate computations, and round your answer to the nearest hundredth.
Hello please help me I will mark you as a brilliant:)
Answer:
answer in step by step
Step-by-step explanation:
5000 = 2500(1+3.5%)^n
5000/2500 = 1.035^n
taking natural log
ln(2) = n ln(1.035)
n = ln(2)/ln(1.035)
n = 20.15
After 20.3 years the initial investment be doubled.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Suppose that $2600 is invested at an interest rate of 2.75% per year, compounded continuously.
Now,
Let the years for the initial investment be doubled = n
So, We can formulate;
⇒ 5,000 = 2,500 (1 + 3.5%)ⁿ
⇒ 2 = (1 + 0.035)ⁿ
Taking ln both side,
⇒ ln 2 = n ln 1.035
⇒ n = ln 1.035 / ln 2
⇒ n = 0.69/0.034
⇒ n = 20.30
Thus, After 20.3 years the initial investment be doubled.
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PLEASE HELP WILL GIVE BRAINLIEST
SIMPLE NUMBER LINE QUESTION
The radius of a circle is 5 ft. Find its area to the nearest tenth.
Answer:
78.5 ft² (nearest tenth)
Step-by-step explanation:
area of circle = \(\pi r^2\)
⇒ area = \(\pi\) x 5² = 25\(\pi\) = 78.5 ft² (nearest tenth)
when the laplace transform is applied to the ivp y''-3y' 2y=sin2t y'(0)=4 y(0)=-1
the solution to the given IVP is y(t) = e^(2t) - e^t + 7.
What is Laplace Transform?
The Laplace transform is an integral transform that is widely used in mathematics and engineering to solve differential equations. It allows us to convert a function of time, typically denoted as f(t), into a function of a complex variable s, denoted as F(s), where s = σ + jω (σ is the real part and ω is the imaginary part).
To apply the Laplace transform to the initial value problem (IVP) y'' - 3y' + 2y = sin(2t), with initial conditions y'(0) = 4 and y(0) = -1, we follow these steps:
Take the Laplace transform of both sides of the differential equation, utilizing the properties of the Laplace transform.
L{y''} - 3L{y'} + 2L{y} = L{sin(2t)}
The Laplace transform of the derivatives y'' and y' can be expressed as follows:
L{y''} = s²Y(s) - sy(0) - y'(0)
L{y'} = sY(s) - y(0)
Here, Y(s) denotes the Laplace transform of y(t).
Substitute the initial conditions into the Laplace-transformed equation:
s²Y(s) - s(-1) - 4 - 3(sY(s) + 1) + 2Y(s) = L{sin(2t)}
Simplify the equation:
s²Y(s) + s - 4 - 3sY(s) - 3 + 2Y(s) = L{sin(2t)}
Combine like terms:
(s² - 3s + 2)Y(s) + (s - 7) = L{sin(2t)}
Express the Laplace transform of sin(2t):
L{sin(2t)} = 2/(s² + 4)
Rearrange the equation to solve for Y(s):
(Y(s) = (s - 7) / ((s² - 3s + 2))
Apply the inverse Laplace transform to find y(t):
y(t) = L⁻¹{(s - 7) / ((s² - 3s + 2))}
Perform partial fraction decomposition on the right side:
y(t) = L⁻¹{(s - 7) / ((s - 2)(s - 1))}
Using the inverse Laplace transform table or software, we find:
y(t) = e^(2t) - e^t + 7
Therefore, the solution to the given IVP is y(t) = e^(2t) - e^t + 7.
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What is 3 1/2 x 4 4/8?
Answer:
15.75 or 63/4
Step-by-step explanation:
Answer:
the answer is 15 3/4
Step-by-step explanation:3 1/2 x 4 4/8=
7/2 x 36/8=
7x36/2x8=
252/16=
252 divided by 4
16 divided by 4
=63/4
=15 3/4
Shane plans on finding a summer job so he can earn enough money to buy a new laptop that costs $595. He has already saved $150. If Shane
finds a summer job that pays him $7.50 an hour after taxes are withheld, what is the minimum number of hours he will have to work in order to
purchase the laptop?
80
79
60
59
Answer:
59
Step-by-step explanation: x=number of hours
150+7.50x=595
7.50x=595-150
7.50x/7.50=445/7.50
x=59
calculate the mean and median number of hours rashawn listened to music for the 6 days. round your answers to the nearest tenth.
The mean and median number of hours Rashawn spend in listening to music is 5.7 hours and 6 hours, under the condition that there were 6 days in which Rashawn listened to music.
Now to evaluate the mean number of hours Rashawn listened to music for the 6 days, we have to sum up all the hours and divide by the number of days.
Then, total number of hours Rashawn heard music for 6 days is
= 6 + 5 + 5 + 6 + 5 + 7
= 34 hours
Mean = Total number of hours / Number of days
= 34 / 6
= 5.7 hours
Now,
For evaluating the median number of hours Rashawn heard music in the interval of 6 days
We have to set the number in the order of smallest to largest
The numbers in order are 5, 5, 5, 6, 6, 7
The median is the middle value which is 6
The mean and median number of hours Rashawn spend in listening to music is 5.7 hours and 6 hours, under the condition that there were 6 days in which Rashawn listened to music.
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The complete question is
Rashawn kept a record of how many hours he spent listening to music for 6 days during school vacation and displayed his results in the table
Day -
Monday
Number of hours - 6
Tuesday
Number of hours - 5
Wednesday
Number of hours - 5
Thursday
Number of hours - 6
Friday
Number of hours - 5
Saturday
Number of hours - 7
calculate the mean and median number of hours Rashawn listened to music for the 6 days. Round your answers to the nearest tenth.
A line passes through the points (-5,-2) and (0,2) what is the slope
Answer:
m= 4/5
Step-by-step explanation:
Answer:
Using the point slope form: y−y1=m(x−x1)
Step-by-step explanation:
Plug in the point's x & y values into x1,y1y− −2=5(x−5)
Simplify and distribute:
y+2=5x - 25
y=5x-25-2
y=5x-27
Betrys is making a vegetable stew for 8 people.
A recipe for 2 people indicates that 10 ounces of diced potatoes are needed.
The scale below shows how much diced potatoes she has already prepared.
Betrys knows that 1 ounce is approximately 28 grams.
Work out how many more grams of diced potatoes she
needs to make her vegetable stew for 8 people?
Betrys needs another 400 grams of diced potatoes to make her vegetable stew for 8 people.
How many more grams of diced potatoes she needs to make her vegetable stew for 8 people?
We know that Betrys is cooking for 8 people, and we know that a recipe for 2 people needs 10 ounces.
8 people is 4 times 2 people, then for 8 people you need 4 times 10 ounces, this is 4*10 oz = 40 ounces.
Now we can apply a change of units, remember that:
1 oz = 28 grams
Then the total amount she needs is:
40 oz = 40*28 g = 1,120 g
So she needs in total 1,120 grams, and in the balance, she already has 720 grams, so the amount that she needs is given by the subtraction:
1,120 g - 720g = 400
Betrys needs another 400 grams of diced potatoes to make her vegetable stew for 8 people.
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An ice cream store has two new flavors: Fantasy and Ecstasy. Each barrel of Fantasy requires 4
pounds of nuts, 3 pounds of chocolate, and brings in a profit of $50. Each barrel of Ecstasy
Answer:
Fantasy: 3 barrelsEcstasy: 1 barrelStep-by-step explanation:
Given
Fantasy uses 4 lb of nuts, 3 lb of chocolate, for a profit of $50
Ecstasy uses 4 lb of nuts, 1 lb of chocolate, for a profit of $40
In stock are 16 lb of nuts, 10 lb of chocolate
Find
amount of each to maximize profit
Solution
Let x and y represent barrels of Fantasy and Ecstasy, respectively. Then the limitations on production are ...
4x +4y ≤ 16 . . . lb of nuts
3x +y ≤ 10 . . . . lb of chocolate
We want to maximize
50x +40y
The graph shows the feasible region. Its vertices are ...
(0, 4), (3, 1), (3.33, 0)
Profit is maximized at $190 when production is 3 barrels of Fantasy and 1 barrel of Ecstasy.
If you go on both rides, can you be confident that your wait time for Speed Slide will be longer than your wait time for Wave Machine? Yes. Every Speed Slide wait time is more than every Wave Machine wait time. No. There is a lot of overlap in the two data sets.
Answer:
No
Step-by-step explanation:
Hope this helps :)
Lyle graphs triangle ABC on coordinate axes. He performs two transformations on this figure that result in the congruent triangle XYZ Which series of transformations did Lyle most likely use?
a translation left and then a dilation with a scale factor of 3
a dilation with a scale factor of 2.5 and then a rotation 180' counterclockwise
a rotation 90' clockwise and then a reflection across the y-axis
a reflection across the x-axis and then a dilation with a scale factor of 0.25
C
Answer:
a rotation 90˚ clockwise and then a reflection across the y-axis
Step-by-step explanation:
I'm doing the test right now
Jayden invests money in an account paying a simple interest of 7.6% per year. If he
invests $100 and no morley will be added or removed from the investment, how
much will he have in one year, in dollars and cents?
Answer:
$107.60
Step-by-step explanation:
100 [1 + (0.076 * 1)] = 107.6
= $107.60
1/2*x=3/4(x-2) what is the answer?
Answer:
x=6
Step-by-step explanation:
1/2x=3/4(x-2)
1/2x=3/4x-1.5 (distribute)
+1.5 +1.5
1/2x+1.5=3/4x
-1/2x -1/2x
1.5=1/4x
6=x
hope this helps
brainliest?
Anya has $25,000 which she recently received from a trust fund, which she intends to invest in an account earning 12% annually. a) How many years would it take Anya to accumulate $40,000. b) If Anya's goal is to save $40,000 in just 3 years, what rate of return must she earn annually on her account. Show all workings and formulae
a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.
a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:
Future Value = Present Value * (1 + interest rate)ⁿ
Where:
Future Value = $40,000
Present Value = $25,000
Interest rate = 12% = 0.12
n = number of years
Substituting the given values into the formula, we have:
$40,000 = $25,000 * (1 + 0.12)ⁿ
Dividing both sides of the equation by $25,000, we get:
(1 + 0.12)ⁿ = 40,000 / 25,000
(1.12)ⁿ = 1.6
To solve for n, we can take the logarithm of both sides of the equation:
n * log(1.12) = log(1.6)
Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:
n * 0.0492 = 0.2041
n = 0.2041 / 0.0492 ≈ 4.15
b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:
Future Value = Present Value * (1 + interest rate)ⁿ
$40,000 = $25,000 * (1 + interest rate)³
Dividing both sides of the equation by $25,000, we have:
(1 + interest rate)³ = 40,000 / 25,000
(1 + interest rate)³ = 1.6
Taking the cube root of both sides of the equation:
1 + interest rate = ∛1.6
Subtracting 1 from both sides, we get:
interest rate = ∛1.6 - 1
Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:
interest rate = 1.126 - 1 ≈ 0.126
To express the interest rate as a percentage, we multiply by 100:
interest rate = 0.126 * 100 = 12.6%
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for an arbitrary collection of open intervals, will the intersection of all of those intervals always be open?
Yes, the intersection of all of those intervals always be ope
What is set theory?The mathematical concept of well-defined groupings of objects, or sets, that are referred to as members or elements of the set. The only sets that are taken into consideration are those whose members are also sets because pure set theory only deals with sets.
According to information:Any union of open sets, or an unlimited number of open sets, is open. It is open where a finite number of open sets intersect.
A closed set is the complement of an open set (according to the space that the topology is specified on).
Thus, the intersection of all of those intervals always be open.
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Given the equation y= 2x - 8, what is the slope and the y-intercept?
Om = 2 and b= 8
O m= 2 and b= -8
m= 8 and b=2
O m= -8 and b= 2