Answer:
0.97087
Step-by-step explanation:
Given the function:
[tex]f(x) = e^{2x} - x - 6[/tex]
Its first derivative is:
[tex]f'(x) = 2e^{2x} - 1[/tex]
Using Newton's method:
[tex]x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}[/tex]
and starting with the point:
[tex]x_1 = 0.95[/tex]
we get:
[tex]f(x_1) = e^{2(0.95)} - 0.95 - 6 = -0.26410[/tex]
[tex]f'(x_1) = 2e^{2(0.95)} - 1 = 12.37178[/tex]
[tex]x_2 = x_1 - \frac{f(x_1)}{f'(x_1} = 0.95 - \frac{-0.26410}{12.37178} = 0.97134[/tex]
[tex]f(x_2) = e^{2(0.97134)}- 0.97134 - 6 = 0.00608[/tex]
[tex]f'(x_2) = 2e^{2(0.97134)} - 1 = 12.95485[/tex]
[tex]x_3 = 0.97134 - \frac{0.00608}{12.95485} = 0.97087[/tex]
[tex]f(x_3) = e^{2(0.97087)} - 0.97087 - 6 = -2.6240413 \cdot 10^{-7}[/tex]
20. How many minutes would it take a train to travel
90 kilometers at a constant speed of 120 kilometers per
hour?
F. 30
G. 40
H. 45
J. 80
K. 90
Answer:
45
Step-by-step explanation:
Every 15 minutes, 30 kilometers are passed by.
15/60 = 1/4 hour
30/120 = 1/4 speed
It takes a train to travel 90 kilometers at a constant speed of 120 kilometers per hour is 45.
We have given that,
F. 30
G. 40
H. 45
J. 80
K. 90
What is the speed?Speed is measured as the ratio between distance and time and the SI unit of speed is m/s.
Every 15 minutes, 30 kilometers are passed by.
15/60 = 1/4 hour
30/120 = 1/4 speed
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NEED ANSWER FAST PLSSS
Answer:
1/2
Step-by-step explanation:
Look at the photo to understand more
19. How many yellow-collared macaws would
have a combined mass of 1 kilogram?
20. Is the combined
mass of two red-footed macaws and three blue and gold macaws closer to 3 kilograms or 4 kilograms? Explain.
21. Which macaw has a mass closest to 1 kilogram?
BEST ANSWER GETS BRAINLESST A FOLLOW AND A LIKE AND 5 STARS ON THERE ANSWER( you don't have to answer all)
Joshua owns a trucking company. For every truck that goes out, Joshua must pay the driver $25 per hour of driving and also has an expense of $2 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 50 miles per hour and Joshua's total expenses for the driver, gas and truck maintenance were $625. Write a system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove. Define the variables that you use to write the system.
Let h= the number of hours the driver drove
Let m= the number of miles driven
25h+2m=625
m=50h
System of equations are 25x + 2y = 625 and y = 50x
Where x represents number of hour of driving and y represent number of mile driven for gas and maintenance.
Since, Joshua pay the driver $25 per hour of driving
So for x hours pay $ 25x
And also has an expense of $2 per mile driven for gas and maintenance
So for y miles pay $ 2y
Thus, for the driver drove an average of 50 miles per hour
Equation is, y = 50 x
And since, Joshua's total expenses for the driver, gas and truck maintenance were $625.
So equation is, 25x + 2y = 625
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100pts: A room has 5 statues. You want to break the statues, one by one. In many different orders can you break these 5 statues?
Answer:
120
Step-by-step explanation:
You break the first statue
There are 5 different ways since there are 5 statues.
Now there are 4 statues left
There are 4 different ways since there are 4 statues.
Now there are 3 statues left
There are 3 different ways since there are 3 statues.
Now there are 2 statues left
There are 2 different ways since there are 2 statues.
Now there is 1 statues left
There is 1 different ways since there is 1 statue.
5*4*3*2*1
Total ways
n!5!5(4)(3)(2)(1)120wayswhat is the equation of a line that passes through the point (0,8) and is parallel to a line with a slope of 4/5?
Answer: The answer is y = 4/5x + 8.
Step-by-step explanation:
There is good reasoning behind why this is the answer. First, if you recall, parallel lines must have the same slope or they will at some point meet. With this information, you can pull from the given material that the slope for the equation you are trying to gather is 4/5.
Then, you can use the given point to find the y-intercept because the x-coordinate is 0 (directly on the y-axis) and your y-coordinate is 8. Your y-intercept is placed as a positive or negative value at the end of the equation (if in slope-intercept form), and because the 8 in the ordered pair is positive, you just need to add +8 to your equation.
With this information, you can conclude that the equation is y = 4/5x + 8.
Which fraction is equivalent to 20%? - 1/20 - 2/20 - 4/20 - 5/20
Answer:
c
Step-by-step explanation:
[tex]\frac{20}{100} = \frac{1}{5} \\\frac{4}{20} = \frac{1}{5}[/tex]
Answer:
4/20
Step-by-step explanation:
4/20=1/5=20%
The hexagon has all sides the same length and opposite sides are parallel, but is not a rhombus. Why?!
Although the sides are equal, it isn't a rhombus because there is 6 sides and not 4.
Can someone help me with this question.
Answer:
Option A
Step-by-step explanation:
If a football team gains 15 yards on a play, it will be recorded as '+ 15' or '15'.
All other options would be represented by '-15', and not '15' that is asked in the question. A withdraw is taking away money, a number 'below zero' would be negative, and losing 15 points would be represented as '-15'.
Option A should be the correct answer.
Answer:
The answer to your problem is Option A or 1: A football team gains 15 yards on a play.
Step-by-step explanation:
This is the answer because all of the other situations have an integer of -15. Like LOSING points, or 15 meters BELOW all signify that those situations include a negative number. Your question is asking for a positive 15 not negative so Option 1 is the correct answer.
PLEASE HELP. BEST ANSWER GETS BRAINLIEST. Find x in the following right triangle
Answer:
12 dm
Step-by-step explanation:
Use the Pythagorean Theorem to find the missing length of the right triangle:
[tex]a^2+b^2=c^2[/tex]
We are given the hypotenuse's length of 13 dm, and a leg length of 5 dm.
Let the missing leg be 'b':
[tex]5^2+b^2=13^2\\\left \{ {{5^2=25} \atop {13^2=169}} \right. \\25+b^2=169\\25-25+b^2=169-25 \leftarrow \text{Subtraction Property of Equality} \\b^2=144\\\sqrt{b^2}=\sqrt{144}\leftarrow\text {Square Root Property of Equality}\\ \boxed{b=12}[/tex]
The missing side length should be 12 dm.
Answer:
12 dm
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + x^2 = 13^2
25 + x^2 =169
Subtract 25 from each side
x^2 = 169-25
x^2 = 144
Take the square root of each side
sqrt(x^2) = sqrt(144)
x = 12
PLEASE HELP!!! 25 POINTS
An 80% confidence interval for a proportion is found to be (0.52, 0.58). What is the sample proportion?
Answer:
Answer: 55
Step-by-step explanation:
Help FAST Please. Quite simple and fast Third one
Answer:A
Step-by-step explanation:
Answer:
It is Transitive Property of Congruence
Hope this helps :)
what is the simplified form of x + 7 / x + 3 + x - 4 / 3
Answer:
Step-by-step explanation:
[tex]\frac{x +7}{x+3}+\frac{x-4}{3}=\frac{(x+7)*3}{(x+3)*3}+\frac{(x-4)(x+3)}{3(x+3)}\\\\=\frac{(x+7)*3+(x-4)(x+3)}{3(x+3)}\\\\=\frac{3x+21+x^{2}+3x-4x -12}{3x +9}\\\\=\frac{x^{2}+2x-12}{3x+9}\\\\[/tex]
Answer:
I hope this helps you thanks
ms kazenas has 4 pounds of cake mix which she discovers is only 25 of the cake mix she needs to make a whole cake how many more pounds of cake mix does ms kazenas need
Answer:
Step-by-step explanation:
entire cake = x
4 lbs of cake mix on hand = 25% of x
4 = 0.25x
x = 0.25/4
x = 16 lbs
She will need 16-4 = 12 lbs more
Line AB contains points A (-2, 3) and B (4, 5). Line AB has a slope that is
A.zero
B.undefined
C positive
D.negative
Given the equation (x - 1) ^ 2 + (y + 20) ^ 2 = 196 identify the center and radius
Answer & Step-by-step explanation:
In order to solve this problem, it is important that we know the original form of this equation.
(x - x1)² + (y - y1)² = r²
The equation we are given is: (x - 1)² + (y + 20)² = 196
Now that we know the original equation and the given equation, then we can conclude that the center of the circle is (1, -20). We can find the radius by calculating the square root of 196.
√196 = 14
So, the radius is 14.
Now, based on the given information, we know that the center of the circle is (1, -20) and the radius of the circle is 14.
-mplete the table.
Percent of Discount
Sale Price
Original Price
80%
$90
Answer:
You will pay $18 for a item with original price of $90 when discounted 80%. In this example, if you buy an item at $90 with 80% discount, you will pay 90 - 72 = 18 dollars.
Step-by-step explanation:
Answer:
Original Price is $450
Step-by-step explanation:
(Discounted price) = (100 percent - discount percent) x (original price)
90 = (100%- 80%) x y
y = 90 / 0.20
= 450
Cards for Candy Two ladies played cards for candy; the winner received one piece per game from the loser. When it was time for one of the ladies to go home, one lady had won three games, while the other lady had a profit of three pieces of candy. How many individual games had they played?
Answer:
6 games
Step-by-step explanation:
if one lady had 3 pieces of candy, that means she must have gotten them from the other lady. And since the other lady had only won 3 games, that means that she must have lost an additional 3, so she had to give her candy to the other lady.
The number of individual games they played is 6 games.
How many games did they play?Given the cards for Candy two ladies played cards for candy; the winner received one piece per game from the loser. When it was time for one of the ladies to go home, one lady had won three games, while the other lady had a profit of three pieces of candy.
If one woman had three candies, it is obvious that she must have obtained them from the other woman. She had to give her candy to the other lady because she had only won three games, implying that she must have lost three more.
Therefore, the number of individual games they played is 6 games.
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Write the slope intercept form through: (4, -4) and (4, -1)
Answer: X=4 ✌️
Step-by-step explanation:
PLEASE HELP ASAP PLEASE PLEASE PLEASE
If you have one apple, and someone gives you three more apples, how many apples do you have? __4__ This is the same idea as adding variables. x+3x = ______. The exponent does not change when adding.
However, when you multiply, you _____________ the exponents. For example x · x · x · =___ Simplifying Negative Exponents : 2^-3 = 1 = 1/8
Write an example for each rule:
Answer:
First blank- 4x
Second blank- combine
Third blank- X
Hope this helps :3
(Write feedback if incorrect)
Find the area of the shaded region.
Answer:
A=16
Step-by-step explanation:
A= 1/2*b*h
A=1/2*4*8
A=16
The dimensions of the Surf City Community Pool are shown below.
How many cubic meters of water are needed to fill the entire pool?
A: 210
B: 525
C: 735
D: 1050
Answer:
C: 735
Step-by-step explanation:
We can split the pool into two 3D shapes.
The first rectangular prism on the left would equal 7 * 5 * 15 = 525 cubic meters
The second rectangular prism on the right would equal 7 * 2 * 15 =210 cubic meters.
In total, 525 + 210 = 735 cubic meters
please help me answer all of them
Answer:
1. 3:4
2. 1 : 3
3. 3 : 1
4. 1 : 5
5. 2: 5
Step-by-step explanation:
Answer:
1. 3:4 (because 9÷3 is 3 and 12÷3 is 4)
2. 1:3 (because 2÷2 is 1 and 6÷2 is 3)
3. 3:1 (because 21÷7 is 3 and 7÷7 is 1)
4. 1:5 (because 3÷3 is 1 and 15÷3 is 5)
5. 2:5 (because 4÷2 is 2 and 10÷2 is 5)
what is causation in a scatter plot
Answer:
A scatter plot displays data about two variables as a set of points in the x y x y x y -plane and is a useful tool for determining if there is a correlation between the variables. Causation means that one event causes another event to occur. Causation can only be determined from an appropriately designed experiment.
Step-by-step explanation:
Example: Correlation between Ice cream sales and sunglasses sold. ... Causation takes a step further than correlation. It says any change in the value of one variable will cause a change in the value of another variable, which means one variable makes other to happen. It is also referred as cause and effect.
A vendor charges $24 for a souvenir. What is the demand function
Answer:
depends on the tax, value, and some other factors (i think)
Step-by-step explanation:
Five multiplied by the sum of 6 and a number is the same as 42 more than the number. Find the number.
If n is "the number", which equation could be used to solve for the number?
Answer:
number is 3 .equation below
Step-by-step explanation:
5(6+n)=n+42
30+5n=n+42
5n-n=42-30
4n=12
n=3
A unicycle wheel has a diameter of 30 inches. How many inches will the unicycle travel in 6 revolutions?
Answer:
565.2
Step-by-step explanation:
Solve for x: −2x − 8 = −6x + 4 A) 1 B) 2 C) 3 D) 1 2
Answer:
C.
Step-by-step explanation:
4x = 12
x = 3
When using a straight ladder, it is recommended that the base of the ladder by placed approximately 1/4 the length of the entire ladder away from the wall.
Answer:
What is the question?
Step-by-step explanation:
Answer:
we need to know the lenght of the ladder so we can calculate for u :)
Step-by-step explanation:
Solve for x and y.
A. x = 13.3 y= 16.7
B. x = 13.3. y = 12.5
C. x = 7.5, y = 16.7
D. x = 7.5. y= 12.5
hey question do you still need help answering this cuz I noticed you posted this a while ago so I'm not sure.....let me know!
