Answer:
x=3y−9
Step-by-step explanation:
Rationalizing denominator of 2/√3
Answer: \(\frac{2\sqrt{3}} {3}\)
Step-by-step explanation:
Multiply both the denominator and numerator by square root of 3 to rationalize the denominator.
Answer:
2√3/3
Step-by-step explanation:
we can simply multiply the fraction by (√3/√3) as √3*√3 = 3 --- a rational value;
2/√3 * √3*√3 = 2√3/3
answer please i will give brainliest
All lines with the equation y = kx must pass through a point referred to as origin.
What is a direct proportion?Mathematically, a direct proportion or direct variation can be represented the following mathematical expression:
y = kx
Where:
y and x are the variables.k represents the constant of proportionality.In Mathematics, the graph of any proportional relationship such as a linear equation is represented or modeled by a straight line with the data points passing through the origin (0, 0).
In conclusion, when the values on the x-coordinate of a linear equation which starts from the origin (0, 0) decreases or increases, the values on the y-coordinate decreases or increases simultaneously.
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Please help it's due today. Also if you don't know please don't answer.
I believe it's x= 20, hopes it help!
Answer:
x=20
Step-by-step explanation:
4 5 x
( 3 ) = 3
20 x
3 = 3
x = 20
Find the indefinite integral. (use c for the constant of integration.)
e2x 25 e4x dx.
To find the indefinite integral of the given expression, we can use the power rule for integration. The power rule states that for any function of the form xⁿ, the integral is (1/(n+1)) * x^(n+1) + c, where c is the constant of integration.
The given expression is e²ˣ + 25e⁴ˣ dx. Using the power rule, we can integrate each term separately.
For the first term, e²ˣ, the power is 2. Applying the power rule, we get ∫e²ˣ. dx = (1/(2+1))e²ˣ = (1/3) e²ˣ.
For the second term, 25e⁴ˣ, the power is 4. Applying the power rule, we get ∫25e⁴ˣ. dx = (1/(4+1)) × 25e⁴ˣ = (1/5) × 25e⁴ˣ = 5e⁴ˣ.
Therefore, the indefinite integral of ∫(e²ˣ + 25e⁴ˣ) dx is (1/3)e²ˣ + 5e⁴ˣ + c, where c is the constant of integration.
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There are 80 animals on a farm. 68 of the animals are pigs. What fraction of the animals are pigs? Give your answer in its simplest form. b) Write your answer to part a) as a decimal.
Answer:
a) 20/17
b) 1.176470588
Step-by-step explanation:
a) 80÷60 = 20/17
20/17 is the simplest form of the fraction.
b) Divide the numerator by the denominator to get a decimal number.
BRAINLIEST!!! HELP DUE IN 27MINUTES
Lim 3x³ + 2x² + x + 1. x→0
Answer:
3mx3Li+2x2+2x→0
Step-by-step explanation:
\(\lim_{x \to0} 3x^3 +2x^2+x+1=3(0)^3+2(0)^2+0+1= 1\)
Hope that helps!
Definition of limit: Limits describe how a function behaves near a point, instead of at that pointa pool with dimensions of 10 ft radius and 4 ft height fill with water at a rate of 20 gallons a minutes. about how many hours will it take to fill the pool if 1 cubic foot of water is about 7.5 gallons?
It will take approximately 7.85 hours to fill the pool.
To determine the time needed to fill the pool, first calculate the volume of the pool, then convert the volume to gallons, and finally, divide by the fill rate.
The pool is a cylinder with a radius of 10 ft and a height of 4 ft. The volume of a cylinder is given by the formula V = πr²h.
V = π(10 ft)²(4 ft) = 400π cubic feet ≈ 1256.64 cubic feet
Next, convert the volume to gallons using the given conversion factor:
1256.64 cubic feet * 7.5 gallons/cubic foot ≈ 9424.8 gallons
Now, divide the total gallons by the fill rate of 20 gallons/minute to find the time in minutes:
9424.8 gallons ÷ 20 gallons/minute ≈ 471.24 minutes
Finally, convert the time to hours:
471.24 minutes ÷ 60 minutes/hour ≈ 7.85 hours
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which postulate or theorem justifies the congruence statement, ABE is congruent to CDE?
- SSS
- SAS
- ASA
- AAS
Answer:
SAS
Step-by-step explanation:
Hope this helps:)
Answer:
SAS
Step-by-step explanation: You can use vertical angles congruence theorem for angles AED and BEC which gives you an angle, using taht info you can detremine that its SAS
ssdfmsfamong treatments1743 435.751.27error total5503.4615step 6 of 8: what is the variation of the individual measurements about their respective means? please round your answer to two decimal places.
The variation of the individual measurements about their respective means is 2295.04.
Given that,
The table of the treatments and total amount is
SS DF MS F
Among Treatments 4974.88 621.86 2.98
Error ?
Total 7269.92 19
We have to find how do the various measurements differ from their respective means.
We know that,
We know the formula
SSE= SSTotal -SST
= 7269.92-4974.88
=2295.04
The variation of the individual measurements about their respective means is SSE that is 2295.04
Therefore, The variation of the individual measurements about their respective means is 2295.04.
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What is the value of the following function when x = 0?
y=-5
y=-2
Y=-1
Y= 0
The numeric value of the function when x = 0 is found replacing each instance of x by zero in the definition of the function.
If a graph is given, then the numeric value is given as the value of y when the function crosses the y-axis.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
Supposing we have a function definition, then the numeric value at x = 0 is found replacing each instance of x by zero.
On graph, x = 0 is when the graph of the function touches or crosses the y-axis.
Missing InformationThe problem is incomplete, hence the general procedure to obtain the numeric value at x = 0 was presented.
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What value of n makes 4n +20 = 4? *
Step-by-step explanation:
Answer:-\(\sf{4n+20=4}\)
\(\sf{4n=4-20}\)
\(\sf{4n= -16}\)
\(\sf{n=\dfrac{-16}{4}}\)
\(\sf{n = -4}\)
Hope it helps :)
Answer:
-4
Step-by-step explanation:
To solve, you need to isolate the number with the variable (in this case, 4n). To do that, get rid of the 20 on the left side. To do THAT, do the opposite which is subtract; do it to both sides. This leaves you with 4n= -16.
Now, to get rid of the 4 and be left with just the n, do the opposite of what is given. In this case, n is multiplied by 4 so divide by 4 on both sides to isolate n. This gives you the answer of -4.
Hope it helps!
A hockey puck is set in motion across a frozen pond. If ice friction and air resistance are neglected, the force required to keep the puck sliding at constant velocity is equal to its weight. equal to its mass times its weight. equal to its weight divided by its mass. none of the above
The force required to keep a hockey puck sliding at a constant velocity, neglecting ice friction and air resistance, is equal to its weight. The correct option is "equal to its weight."
When a hockey puck is set in motion across a frozen pond and there is no ice friction or air resistance, the only force acting on the puck is its weight, which is the force due to gravity pulling it downward. According to Newton's first law of motion (the law of inertia), an object at a constant velocity will continue to move at that velocity unless acted upon by an external force.
Since the puck is already in motion and we want to maintain its constant velocity, the force required to counteract its weight and keep it sliding is equal to its weight. This is because the weight of an object is the force exerted on it by gravity, and in the absence of other forces, an equal and opposite force is needed to maintain the object's motion without acceleration.
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2.1n - 5.31 = 18
Pls help please show work
Answer:
n= approx. 6.04
Step-by-step explanation:
18-5.31=12.69
12.69/ 2.1= about 6.04
Please help this is 9 grade algebra…Write point slope form for the question of each line through the given point
(4,-3)
Answer:
y + 3 = 1/4(x -4)
Step-by-step explanation:
y - y = m (x - x)
y - -3 = 1/4 ( -4)
y + 3 = 1/4 ( x -4)
Help pls pls pls pls pls
Answer:
Step-by-step explanation:
mmm it blury i can't see it
rico tested 50 adults in an experimental group, to give a large enough ________ __________ to be accurate.
suppose that 10^6 people arrive at a service station at times that are independent random variable, each of which is uniformly distributed over (0,10^6). Let N denote the number that arrive in the first hour. Find an approximation for P{N=i}.
Since the arrival times are independent and uniformly distributed, the probability that a single person arrives in the first hour is 1/10^6. Therefore, the number of people N that arrive in the first hour follows a binomial distribution with parameters n=10^6 and p=1/10^6.
The probability that exactly i people arrive in the first hour is then given by the binomial probability mass function:
P{N=i} = (10^6 choose i) * (1/10^6)^i * (1 - 1/10^6)^(10^6 - i)
Using the normal approximation to the binomial distribution, we can approximate this probability as:
P{N=i} ≈ φ((i+0.5 - np) / sqrt(np(1-p)))
where φ is the standard normal probability density function. Plugging in the values of n=10^6 and p=1/10^6, we get:
P{N=i} ≈ φ((i+0.5 - 1) / sqrt(1*0.999999)) = φ(i - 0.5)
Therefore, an approximation for P{N=i} is given by the standard normal density function evaluated at i-0.5.
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How many hours drive is 250 km?
250 km is approximately 3 hours and 15 minutes of driving time.
The time it takes to drive 250 km (155 miles) depends on the speed at which you are driving. If you are driving at an average speed of 80 km/h (50 mph), then it will take approximately 3 hours and 15 minutes to drive 250 km (155 miles). However, if you are driving at higher speed, such as 90 km/h (56 mph), it will take slightly less time - around 2 hours and 50 minutes. The time it takes to drive 250 km will also depend on the traffic situation and other factors such as the number of stops you make along the way. Generally, it is recommended to allow at least 3 hours and 15 minutes to drive 250 km.
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on average, what value is expected for the t statistic when the null hypothesis is true?
Answer:
0
Step-by-step explanation:
an experiment consists of tossing 4 unbiased coins simultaneously. the number of simple events in this experiment is question 20answer a. 10 b. 8 c. 16 d. 25
The number of simple events in this experiment is 16.
The correct answer to the given question is option c.
The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.
The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.
Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.
Therefore, the number of simple events in this experiment is 16, which is option (c).
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Which of the following is equivalent to –(–5.25) ? 5 5.25 –5 –5.25
please answer fast
Answer:
The equivalent to -(-5.25) = 5.25
Step-by-step explanation:
Given
\(-(-5.25)\)
We need to determine the equivalent to -(-5.25)
some of the sign rules are:
+(+) = +
−(−) = +
+(−) = -
−(+) = -
Thus,
\(-(-5.25)\)
Applying the rule: -a(-a) = a
\(=5.25\)
Therefore, the equivalent to -(-5.25) = 5.25
Answer:
5.25
Step-by-step explanation:
Consider the system of equations shown below.
y=-5x+1
y=-5x+10
When graphed, the system consists of two lines that will never meet, no matter how far they are extended. Why are
the lines parallel?
O The linear equations have the same slope and y-intercept.
O The linear equations have different slopes and y-intercepts.
O The linear equations have the same slope but different y-intercepts.
O The linear equations have different slopes but the same y-intercept
The given system of equations have the same slope and different y intercepts. The correct option is (C).
Here, we have
to write the equation of a straight line in slope-intercept form:
A straight line can be written in the slope-intercept form as, y = mx + c.
In order to obtain the slope, the ratio of the difference of the coordinates are taken and c is the y-intercept which can be found by substituting x = 0 in the equation.
The given system of equations is as below,
y = -5x + 1 (1)
y = -5x + 10 (2)
Compare these equation with the general form y = mx + c to obtain,
For equation (1),
m = -5 and c = 1
And, for equation (2),
m = -5 and c = 10
Since two linear equations having the same slope represents two parallel lines, the given system of equations represent the parallel lines.
Hence, the linear equations are do not intersect on graph due to the same slope but different y intercepts.
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SOMEONE HELP PLEASEEE !!!
Answer:
if im right its 13.09 miles since perimiter is just the total length of the outside lines.
Step-by-step explanation:
Algebraically solve for the exact value of all angles in the interval [O,4) that satisfy the equation tan^2(data)-1=0 cos(data)sin(data)=1
The exact values of all angles in the interval [0, 360°) that satisfy the given equations are:
data = 45°, 135°, 315°.
To solve the given trigonometric equations, we will consider each equation separately.
tan²(data) - 1 = 0:
First, let's rewrite tan²(data) as (sin(data)/cos(data))²:
(sin(data)/cos(data))² - 1 = 0
Now, we can factor the equation:
(sin²(data) - cos²(data)) / cos²(data) = 0
Using the Pythagorean identity sin²(data) + cos²(data) = 1, we can substitute sin²(data) with 1 - cos²(data):
((1 - cos²(data)) - cos²(data)) / cos²(data) = 0
Simplifying further:
1 - 2cos²(data) = 0
Rearranging the equation:
2cos²(data) - 1 = 0
Now, we solve for cos(data):
cos²(data) = 1/2
cos(data) = ± √(1/2)
cos(data) = ± 1/√2
cos(data) = ± 1/√2 * √2/√2
cos(data) = ± √2/2
From the unit circle, we know that cos(data) = √2/2 corresponds to angles 45° and 315° in the interval [0, 360°). Therefore, the solutions for data are:
data = 45° and data = 315°.
cos(data)sin(data) = 1:
Since cos(data) ≠ 0 (otherwise the equation wouldn't hold), we can divide both sides by cos(data):
sin(data) = 1/cos(data)
sin(data) = 1/√2
From the unit circle, we know that sin(data) = 1/√2 corresponds to angles 45° and 135° in the interval [0, 360°). Therefore, the solutions for data are:
data = 45° and data = 135°.
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A man traveled to his country home, a distance of 150 miles and then back. His average rate of speed going was 50 miles an hour and his average return speed was 30 miles per hour. His average rate of speed for the entire trip was Need help will mark brainlist
Answer:
37.5 mi/h
Step-by-step explanation:
time = distance / speed
On the trip 'going', the time was (150 mi)/(50 mi/h) = 3 h.
On the return trip, the time was (150 mi)/(30 mi/h) = 5 h.
__
speed = distance / time
The average speed for the whole trip was ...
speed = (150 mi +150 mi)/(3 h +5 h) = (300 mi)/(8 h) = 37.5 mi/h
His average rate of speed was 37.5 miles per hour.
please help meee ;_;
Answer:
Step-by-step explanation:
(-1, 0) (0,3)
(3-0)/(0+1)
3/1 = 3
y - 0 = 3(x + 1)
y = 3x + 3
Check the picture below.
to get the equation of any straight line, we simply need any two points off of it, so let's use those two from the picture.
\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-3)}}} \implies \cfrac{9 +6}{2 +3} \implies \cfrac{ 15 }{ 5 }\implies 3\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{3}(x-\stackrel{x_1}{(-3)}) \\\\\\ y+6=3(x+3)\implies y+6=3x+9\implies y=3x+3\)
Geometry Unit 4 lesson 3 Alternate interior angles theorem
Answer:
2)vertical angles
3)alternate interior angles
Step-by-step explanation:
yeah thats all i got
The line p || r as, the alternate interior angle are equal.
What are Parallel line?The basic qualities listed below make it simple to identify parallel lines.
Parallel lines are defined as straight lines that are always the same distance apart.Parallel lines, no matter how far they are extended in either direction, never intersect.We have to prove that p || r
and, we have given <1 = <5
<4 = <1 by (Vertically Opposite Angle).
and, <4 = <5 (Transitive Property)
So, the line p || r as, the alternate interior angle are equal.
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anders makes scones using sugar,butter and flour in the ratio 1:2:8. He makes the scones using 100g of sugar, 300g of butter and 400g of flour.How much of each ingredient does he use?
Based on the ratio, Anders uses 72.73g of sugar, 145.46g of butter, and 581.84g of flour to make his scones.
Find the number by the ratioAnders makes scones using the ratio 1:2:8 for sugar, butter, and flour respectively. This means that for every 1 gram of sugar, he uses 2 grams of butter and 8 grams of flour.
To find out how much of each ingredient he uses, we can use the following steps:
1. Add the ratios together: 1 + 2 + 8 = 11
2. Divide the total amount of ingredients by the sum of the ratios: 100 + 300 + 400 = 800 / 11 = 72.73
3. Multiply each ratio by the result from step 2 to find the amount of each ingredient:
Sugar: 1 x 72.73 = 72.73g
Butter: 2 x 72.73 = 145.46g
Flour: 8 x 72.73 = 581.84g
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a set of x and y scores has b = 4, mx = 12, and my = 51. what is the y-intercept (a) for the regression equation?
The y-intercept for the regression equation is 3, given that b = 4, Mx = 12, and My = 51. So, the correct option is C).
The formula for the y-intercept of the regression equation is
a = My - b(Mx)
where My is the mean of the dependent variable (y), b is the slope, and Mx is the mean of the independent variable (x).
Given that b = 4, Mx = 12, and My = 51, we can substitute these values in the formula to find the y-intercept
a = 51 - 4(12)
a = 51 - 48
a = 3
Therefore, the y-intercept (a) for the regression equation is 3.
The correct Answer is C) 3.
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--The given question is incomplete, the complete question is given
" A set of X and Y scores has b = 4, Mx = 12, and My = 51. What is the y-intercept (a) for the regression equation? O 9.75 17.36 3.00 8.25 "--
In a 45-45-90 triangle, if the length of one leg is 4, what is the length of the hypotenuse?
Answer: \(4\sqrt{2}\) (choice C)
Explanation:
In a 45-45-90 triangle, the hypotenuse is found through this formula
\(\text{hypotenuse} = \text{leg}\sqrt{2}\)
We could also use the pythagorean theorem with a = 4, b = 4 to solve for c.
\(a^2+b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{4^2+4^2}\\\\c = \sqrt{2*4^2}\\\\c = \sqrt{2}*\sqrt{4^2}\\\\c = \sqrt{2}*4\\\\c = 4\sqrt{2}\\\\\)