Answer:
yes
Step-by-step explanation:
A surd is a radical which cannot be simplified
The only factors of 17 are 1 and 17, thus it is a prime number and cannot be simplified, so
\(\sqrt{17}\) is a surd
Need some help on C and D. Hard homework.
The answer to the questions C and D are; The angles in a and b cannot be classified as angle D and m∠GDE = 146°
How to find the angle after dividing it?From Answers A and B, we see that;
m∠FDE = 38° and m∠GDF = 108°
C) From the given diagram we see that m∠GDE was divided by Line F. This means that m∠GDF and m∠FDE are both components of m∠GDE and as such they alone cannot be classified as angle D.
D) From above we see that m∠GDE was divided by Line F. This means that m∠GDF and m∠FDE are both components of m∠GDE. Thus, this means that;
m∠GDF + m∠FDE = m∠GDE
Plugging in the relevant values gives;
m∠GDE = 108° + 38°
m∠GDE = 146°
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Find the root of the equation e⁻ˣ^² − x³ =0 using Newton-Raphson algorithm. Perform three iterations from the starting point x0 = 1. (3 grading points). Estimate the error. (1 grading point). 4. Under the same conditions, which method has faster convergence? (2 points) Bisection Newton-Raphson
The root of the equation e^(-x^2) - x^3 = 0, using the Newton-Raphson algorithm with three iterations from the starting point x0 = 1, is approximately x ≈ 0.908.
To find the root of the equation using the Newton-Raphson algorithm, we start with an initial guess x0 = 1 and perform three iterations. In each iteration, we use the formula:
xᵢ₊₁ = xᵢ - (f(xᵢ) / f'(xᵢ))
where f(x) = e^(-x^2) - x^3 and f'(x) is the derivative of f(x). We repeat this process until we reach the desired accuracy or convergence.
After performing the calculations for three iterations, we find that x ≈ 0.908 is a root of the equation. The algorithm refines the initial guess by using the function and its derivative to iteratively approach the actual root.
To estimate the error in the Newton-Raphson method, we can use the formula:
ε ≈ |xₙ - xₙ₋₁|
where xₙ is the approximation after n iterations and xₙ₋₁ is the previous approximation. In this case, since we have performed three iterations, we can calculate the error as:
ε ≈ |x₃ - x₂|
This will give us an estimate of the difference between the last two approximations and indicate the accuracy of the final result.
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Members of a baseball team raised $967.50 to go to a tournament. They rented a bus for $450.00 and budgeted $37.75 per player for meals. They will spend all the money they raised.
Answer:
$3532.5
Step-by-step explanation:
Given data
Total amount raised= $967.50
Rented a bus for $450.00
Player meal = $450.00 per player
A baseball team is made up of 9 player
Hence the meal will add up to = 450*9= $4050
Hence the total amount they will spend= 4050+450
= $4500
Hence, they will spend all their money and still have a deficit of
$3532.5
How many ways can I have 5 letters and 5 addressed envelopes, so that no letter is in the correct envelope
Answer:
22 ways.
Step-by-step explanation:
Hi I was a little confused on dilation can anyone help me (will mark Brainly)
Just divide the distance of each to point P by 2.
C would be 1 unit above and 2 units to the right of P.
D would be 1 unit below and 2 units to the right of P.
And so on...
Hope this helps
a jazz concert brought in $157,437 on the sale of 8,856 tickets. if the tickets are sold for $10 and $20 dollars, how many of the $10 dollar ticket were sold?
1968 of the $10 dollar ticket were sold by jazz & 6873 of the $20 dollar ticket were sold by jazz.
Jazz total amount received = $157,437
Total tickets sold = 8,856
Let the $10 tickets sold = x
The $20 tickets sold = 8,856 - x
Here the solution below :
$10(x) + 8,856 - x($20) = $157,437
$10x + $177120 - $20x = $157,437
-$10x = $157,437 - $177120
-$10x = - $19683
x = 1968.3
1968 of the $10 dollar ticket were sold by jazz & 6873 of the $20 dollar ticket were sold by jazz.
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What is the equation of the line that passes throligh the point (-6, 6) and has a
slope of -5/3
Answer:
y = -1 2/3x - 4
Step-by-step explanation:
y = mx + b
Replace numbers with the corresponding variables
6 = -5/3 * -6 + b
6 = 10 + b
-4 = b
y = -1 2/3x - 4
Let me know if something's wrong :)
Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) į 2017- n-1
The given series is convergent and the sum is 6.
To determine whether the series Σ (1 + 5ⁿ)/7ⁿ converges or diverges, we can use the ratio test.
Let's apply the ratio test to the series:
aₙ = (1 + 5ⁿ)/7ⁿ
First, let's calculate the ratio:
r = |(aₙ₊₁ / aₙ)| = |((1 + 5ⁿ⁺¹)/7ⁿ⁺¹) / ((1 + 5ⁿ)/7ⁿ)|
Simplifying the ratio:
r = |(1 + 5ⁿ⁺¹)(7ⁿ) / (7ⁿ⁺¹)(1 + 5ⁿ)|
Notice that the terms with 5ⁿ cancel out:
r = |(1 + 5)(7ⁿ) / (7)(1 + 5ⁿ)|
r = |(6)(7ⁿ) / (7)(1 + 5ⁿ)|
r = |6/7|
The ratio r is a constant value of 6/7, which is less than 1.
if the ratio r is less than 1, the series converges. If it is greater than 1, the series diverges.
Since 6/7 is less than 1, the series Σ (1 + 5ⁿ)/7ⁿ converges.
To find the sum of the series, we can use the formula for the sum of a convergent geometric series:
S = a / (1 - r)
Here, a = (1 + 5)/7 = 6/7 is the first term and r = 6/7 is the common ratio.
Plugging these values into the formula:
S = (6/7) / (1 - 6/7)
S = (6/7) / (1/7)
S = 6
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Determine whether the series is convergent or divergent. Σ(n=1 to infinity) (1+5ⁿ)/7ⁿ. If it is convergent, find its sum.
The population growth (in thousands) for Decatur can be represented by the expression 3x + 5 3 x + 261, where x represents the number of years since 2016. The population growth (in thousands) for neighboring Lithonia can be represented by the expression 4x - 5 2 x + 212, where x represents the numberof years since 2016. The governor of Georgia would like to know when the populations of the two towns will be equal.
Answer:
1967 or 2069
Step-by-step explanation:
To do this, you need to equal the expressions:
3x^2+53x+261=4x^2-52x+212
now, solve for y, when x=0:
-1(0)^2+53(0)+261=4(0)^2-52(0)+212
0+0+261=0-0+212
261=212
the difference is 49, so 49 years before or after 2016.
i think i did this right, if not im sorry bc im tired
i will give brainliest to correct answer and explanation ah help i don’t understand it
Answer:
15 degrees
Step-by-step explanation:
So you know that the sum of the two angles is 90 degrees, so you can make an equation:
\(3x + 45 =90\)
Then, solve:
subtract 45 from both sides
\(3x = 45\)
divide both sides by 3
\(x = 15\)
This means that x = 15 degrees
Answer:
The answer is 15 degrees.
Step-by-step explanation:
1) Do you see the little square symbol at the bottom right corner? That represents that the angle is a right angle, or a 90 degree angle, in other words.
2) If you know that the first part of the angle is 45 degrees, as it is already labeled, then subtract 90 degrees - 45 degrees = 45 degrees, which is the angle that is left.
3) Set 3x equal to 45 degrees, and solve.
4) So, the equation is 3x = 45; divide by 3 on both sides to get x = 15 degrees.
Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your assignment. :)
The year the Greek city of Helike disappeared is -1/5 times the year the US civil war ended. Let w represent the year the war ended. write an expression in terms of w to represent the year of helike's disappearance
Answer:
ok so
-1/5x=w
w=1865
so -1/5x=1865
x=-9325
Hope This Helps!!!
Answer:
i a pretty sure for part E its 1865
Step-by-step explanation:
CheckSolve to find the value for x in the linear equation: 3(-4x + 5)=12.1 Use the distributive property2. Use the subtraction property of equality3. Division property of equality:3(-4x) + 3(5) = 12-12x + 15 = 12-12r + 15 - 15 = 12- 15-12r= -3
the value of x is 1/4
Please help me ill give
Brainliest
Answer:
Option B: 24 Units
Step-by-step explanation:
Since both have the same y-value, -16, you can add the absolute values of the x-values to find the distance.
|15| + |-9| = 15 + 9 = 24
The orbit of Halley’s comet, last seen in 1986 and due to return in 2061, is an ellipse with eccentricity 0.97 and one focus at the sun. The length of its major axis is 36.18 AU. [An astronomical unit (AU) is the mean distance between the earth and the sun, about 93 million miles.] Find a polar equation for the orbit of Halley’s comet. What is the maximum distance from the comet to the sun?
The polar equation for the orbit of Halley's comet is r = (18.09 AU)/(1 + 0.97*cos(theta)), where r represents the distance from the sun to the comet, and theta represents the angle between the major axis of the ellipse and the line connecting the sun and the comet.
The maximum distance from the comet to the sun occurs when theta is equal to 0 or 180 degrees, resulting in r = 36.18 AU.
Determine the polar equation?To derive the polar equation, we start with the general equation for an ellipse in polar coordinates: r = (a*(1 - e²))/(1 + e*cos(theta)), where a is the semi-major axis and e is the eccentricity.
Given that the major axis of Halley's comet is 36.18 AU and the eccentricity is 0.97, we can substitute these values into the equation to obtain r = (18.09 AU)/(1 + 0.97*cos(theta)).
This equation represents the polar equation for Halley's comet.
The maximum distance from the comet to the sun occurs when the cosine term is equal to -1, resulting in r = 36.18 AU.
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7/6 u = 42
how do i solve u
Answer:
36
Step-by-step explanation:
7/6 u=42
7u =42×6
u=252/7
u=36
John's burgers cooks it's burgers either well done or medium. The restaurant served 80 burgers last night, 30% of which were well done. How many well done burgers did the restaurant serve?
Answer:
24
Step-by-step explanation:
30/100 * 80/1 = your equation
30/10 * 8/1 = simplified equation
30/10 * 8/1 = 24. your answer is 24
The number of well-done burgers the restaurant served will be 24.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
John's burgers cook its burgers either well done or medium. The restaurant served 80 burgers last night, 30% of which were well done.
Then the number of well-done burgers the restaurant served will be given as,
⇒ 30% of 80
⇒ 0.30 x 80
⇒ 24
The number of well-done burgers the restaurant served will be 24.
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Take the first 4 digits of your student number as the first number and the last 3 digits as the second number. Write the matlab code to find the greatest common divisor of these numbers using the Euclidean algorithm.
The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.
To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:
% Replace '12345678' with your actual student number
studentNumber = '12345678';
% Extract the first 4 digits as the first number
firstNumber = str2double(studentNumber(1:4));
% Extract the last 3 digits as the second number
secondNumber = str2double(studentNumber(end-2:end));
% Find the GCD using the Euclidean algorithm
gcdValue = gcd(firstNumber, secondNumber);
% Display the result
disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);
Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.
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What part of the coordinate plane is equidistant from the points.
The part of the coordinate plane that is equidistant from two points is the perpendicular bisector of the line segment connecting those two points.
The perpendicular bisector is a line or line segment that intersects the line segment connecting the two points at a right angle and divides it into two equal halves. Any point on the perpendicular bisector is equidistant from the two given points.
To find the perpendicular bisector, we can follow these steps:
1. Calculate the midpoint of the line segment connecting the two points. The midpoint is the average of the x-coordinates and the average of the y-coordinates of the two points.
2. Determine the slope of the line segment connecting the two points. The slope is calculated using the formula: slope = (change in y)/(change in x).
3. Find the negative reciprocal of the slope. This will give us the slope of the perpendicular bisector.
4. Use the midpoint and the slope of the perpendicular bisector to determine the equation of the line using the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the midpoint and m is the slope.
5. The resulting equation represents the line that is equidistant from the two given points and divides the coordinate plane into two equal halves.
Any point on this perpendicular bisector will be equidistant from the two given points.
The part of the coordinate plane that is equidistant from two points is the perpendicular bisector of the line segment connecting those two points.
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The beginning cash was \( \$ 17,300 \). What is the amount of cash at the end of the period? Multiple Choice \[ \$ 35,600 \text {. } \] \[ \$ 43,300 \text {. } \] \( \$ 27,900 \) \( \$ 6,700 \)
Based on the provided multiple-choice options and the beginning cash amount of $17,300, none of the options align with a logical estimation of the cash at the end of the period.
We can analyze the multiple-choice options provided and make an educated guess based on the given information.
Option: $35,600
Assuming that there were no cash inflows or outflows during the period, this option suggests a significant increase in cash from the beginning. However, without any additional information, such a large increase cannot be justified.
Option: $43,300
Similar to the previous option, this suggests a substantial increase in cash. Without any supporting data or context, it is difficult to determine if such an increase is plausible.
Option: $27,900
This option implies a decrease in cash from the beginning. Again, without any information about cash outflows, it is uncertain if this decrease is accurate.
Option: $6,700
This option suggests a significant decrease in cash from the beginning. However, without any details about cash outflows or context, it is difficult to determine if this decrease is realistic.
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consider the following. x = 7 cos(t), y = 7 sin(t), 0 ≤ t ≤ (a) eliminate the parameter to find a cartesian equation of the curve.
To eliminate the parameter t, we can use the trigonometric identity sin²(t) + cos²(t) = 1.
Step 1: Solve both given equations for sin(t) and cos(t): cos(t) = x/7 sin(t) = y/7
Step 2: Square both equations: cos²(t) = (x/7)² sin²(t) = (y/7)²
Step 3: Substitute the squared equations into the trigonometric identity: (y/7)² + (x/7)² = 1
Step 4: Simplify the equation: y²/49 + x²/49 = 1
Step 5: Multiply both sides of the equation by 49 to eliminate the fractions: y² + x² = 49
The Cartesian equation of the curve is x² + y² = 49.
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0. What percent of 9 is 18? What are you going to solve?
b. percentage
d. decimal
a rate
c. base
pleas help
Answer:
What percent of 9 is 18 = 200% and for the second part it is B.
Step-by-step explanation:
I just know that is the answer.
can someone help me with this??
PLEASE HELP QUICK!!!
Answer:
step 1. (g(12) - g(8))/12 - 8
step 2. (12(4)^(12 - 8) - 12(4)^(8 - 8))/4
step 3. 12(256) - 12)/4
step 4. 765.
Sin(x+4)=cos(4x-9)
How do you solve this?
When placed near each other, blocks of metal A and B are magnetically attracted to each other, while blocks B and Care repelled by
each other.
Therefore, blocks A and C will be
A)
repelled by each other.
B)
attracted to each other.
C)
unaffected by each other.
D)
Not enough information given
Answer:
A) repelled by each other, I did this on usa testprep
Step-by-step explanation:
Answer:
b atracted to each other
Step-by-step explanation:
got it right on usatestprep
My teacher wants me to do 6.15÷31 in estimate but I don't get it
Problem: 6:15÷31 Estimate
I would say I guess it is about around 0.198387.
The equation of line l1 is y= 5x 1 the equation of l2 is 2y-10x 3 =0 show that these two lines are parallel
The lines y = 5x + 1 and 2y - 10x + 3 are parallel because both lines have the same slope of 5
To show that two lines are parallel, we need to demonstrate that they have the same slope.
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
For L1, we have y = 5x + 1, which is in the slope-intercept form. So we can see that the slope of L1 is 5.
For L2, we can solve for y to get it in the slope-intercept form:
2y - 10x + 3 = 0
2y = 10x - 3
y = 5x - 3/2
So the slope of L2 is 5 as well.
Since both lines have the same slope of 5, we can conclude that they are parallel.
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The given question is incomplete, the complete question is
The equation of line L1 is y= 5x +1 the equation of L2 is 2y-10x+3 =0 show that these two lines are parallel
5 4 2 2 2 2 1 1 3 2 2 3 3 2 1
can someone find the median mode and please show how you got it :)
you will get top answer
Answer:
mode = 2
Step-by-step explanation:
mode is the most frequently seen number.
median is the average so 5+4+2+2+2+2+1+1+3+2+2+3+3+2+1/15= 2 1/3
Answer:
Median is 2, Mode is 2
Step-by-step explanation:
1,1,1,2,2,2,2,2,2,2,3,3,3,4,5 to get the median you put the number from smallest to large then you x one out on each side until there is only one number left which would be 2
The mode is 2 because it is the most common number (aka it appears the most in the list)
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
d > -4
Hope this helped!!
Triple the sum of 33 and 27