Answer:
the magnitude of the error is 2.9959 × 10⁻⁹
Step-by-step explanation:
By Alternating series estimation theorem
[tex]\sum ^{\infty}_{n=1}(-1)^{n+1}a_n=a_1-a_2+a_3-a_4...+a_n[/tex] is satisfies
(i) [tex]a_n +1\leq a_n[/tex] for all n
(ii) [tex]\lim_{\rightarrow \infty}a_n=0[/tex]
The formula for magnitude of error is
[tex]|R_n|=|s-s_n|\leq a_n+1[/tex]
Let [tex]a_n = \frac{(0.08)^n}{n}[/tex]
We can see [tex]\frac{(0.08)^n^+^1}{n} \leq \frac{(0,08)^n}{n}[/tex]
For all n ∈ N
That means [tex]b_{n+1}\leq b_n[/tex] for all n ∈ N
[tex]\lim_{n \rightarrow \infty}a_n=\lim(\frac{(0.08)^n}{n} )\\\\=\frac{(0.08)^{\infty}}{\infty}[/tex]
[tex]\lim_{n\rightarrow \infty}a_n =0[/tex]
The alternating series estimation theorem is [tex]|R_s| = |s-s_n|\leq a_{n+1}[/tex]
After stop adding the term with n = 6
the series tells that the error is smaller than the term with a
Therefore
[tex]a_7 = \frac{(0.08)^7}{7} \\\\= \frac{20.97152}{7} \times 10^-^9\\\\=2.9959\times10^-^9[/tex]
the magnitude of the error is 2.9959 × 10⁻⁹
What is the value of 3-(-2)?
Answer:
5
Step-by-step explanation:
3 - (-2)
Subtracting a negative is adding
3+2
5
Answer:
It's positive 1
Step-by-step explanation:
Because I'm saying goat
Find the GCF of the numbers 16 and 72
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
The Greatest Common Factor of two numbers is the largest whole number that goes into both of them. To find it, we can lay out all the factors of each number and pick the largest one.
Factors of 16: 1, 2, 4, 8, 16
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The largest number that shows up on both lists of factors is 8, so the GCF of 16 and 72 is 8.
When Violet was born she weighed 54 pounds. At 5 months old she weighed 16.3 pounds.
How much weight did she gain between birth and 5 months old?
Answer:
37.7 pounds
Step-by-step explanation:
Simply subtract 54 (starting weight) by 16.3 (weight at 5 months) = the amount of weight she lost.
54 - 16.3 = 37.7Solve for m. –8m = 3 − 9m m =
Answer:
m=3
Step-by-step explanation:
–8m = 3 − 9m
-8+9m = 3
m = 3
Which ordered pair is a solution to the system of linear equations?
2x + 3y= 6
-3x + 5y = 10
(0.2)
(2.0)
(3.2)
(2.3)
HELP
Answer:
Step 1: Substitute the value of x into the equation
x= 3-3/2y
-3x+5y=10
Step 2: Solve the equation
-3(3-3/2y)+5y=10
Step 3: Substitute the value of y into the equation
Y=2
Step 4: Solve the equation
X=3-3/2×2 = X=0
Answer: (0,2)
Please help me to solve this question.
Answer:
A=266CM
Step-by-step explanation:
p=2l + 2w l=2x+1 w=x+5
66=2[2x+1] + 2{x+5] l=2x9 + 1 w=9+5
66=4x+2 + 2x+10 l=18+1 w=14
66=6x+12 l=19
66-12=6x
54=6x A=L x W
x=9 A=19 x 14
A=266CM
I was just wondering this is one of my questions in my math books and i needed help
Answer:
B is true
Step-by-step explanation:
5 is a coefficient of x^0
A bullet train traveled 270 kilometers in 1.5 hours. The entire trip is scheduled to last 5 hours. If the train continues at the same rate, which proportion can be used to find the length, in kilometers, k, of the trip?
Answer:
270/1.5=k/5
Step-by-step explanation:
270 km........1.5 h
k km........5 h
270/1.5=k/5
A bicycle wheel has a circumference of 62 inches. Find the diameter of the wheel. If necessary, round to the tenths place. 39.5 inches 19.7 inches 15.5 inches 9.9 inches
Answer:
19.7 inches
Step-by-step explanation:
The formula for the circumference of a circle of radius r is C = 2πr. If the diameter is given, then the formula is C = πd.
Here C = 62 in. Dividing both sides by π yields the diameter: d = C/π:
62 in
d = ----------- = 19.7 inches
3.14
Answer:
b. 19.7
Step-by-step explanation:
did it on the ed2020 practice
what is 3 and 1/2 divided by 1 and 3/7 equal please help
Answer:
2.45
Step-by-step explanation:
Answer:
2 9/20
Step-by-step explanation:
3 1/2 ÷ 1 3/7
Change to improper fractions
(2*3+1)/2 ÷ (7*1+3)/7
7/2 ÷10/7
Copy dot flip
7/2 * 7/10
49/20
Change back to a mixed number
20 goes into 49 2 times with 9 left over
2 9/20
The first three terms of a Fibonacci sequence are n 3n 4n find the sixth term I FB the sequence
Answer:
18nStep-by-step explanation:
In the Fibonacci sequence In mathematics, the Fibonacci numbers, commonly denoted [tex]Fn[/tex], form a sequence, called the Fibonacci sequence, such that each number is the sum of the two preceding ones, starting from 0 and 1.
Given data
First term= n
second term = 3n
third term = 4n
According to Fibonacci sequence the fourth term is
[tex]F4= F2 + F3\\F4=3n+ 4n= 7n[/tex]
the Fifth term is
[tex]F5= f3 + f4\\f5= 4n+7n= 11n[/tex]
hence the sixth term is
[tex]F6= F4+F5\\ F6= 7n+11n= 18n[/tex]
1. Last Wednesday, students could choose ham or turkey sandwiches for
lunch. The cafeteria made 34 turkey sandwiches and 51 hamn
sandwiches. What percentage of the sandwiches were turkey.
2. Will bought cupcakes for his sister's birthday party, 60 cupcakes had
sprinkles on top. The other 20 cupcakes did not have sprinkles. What
percentage of the cupcakes had sprinkles?
3. At Gary's Swimwear, there are eo bikini styles and 20 other types of
swimsuit. What percentage of the swimsuit styles are bikinis?
4. 6 out of the 30 employees at the sports shop are part-time employees,
What percentage of the employees at the sports shop work part-time
5. At an amusement park, 334 out of 835 tickets sold were discount
tickets, What percentage of the tickets were discount tickets?
Answer:
47%
Step-by-step explanation:
47 + 53 = 100, so 1 = 1%. 47 * 1 = 47, so it equals 47%.
Answer:
1. 40% 2. 75% 4. 20% 5. 40%
Step-by-step explanation:
1. 34/84 * 100 = 40%
2. 60/80 * 100 = 75%
4. 6/30 * 100 = 20%
5. 334/835 * 100 = 40%
Number 3 is not specific
Solve for z.
3 + 9z = –7 + 10z
z =
So the value of z is 10.
look at the attached picture
Hope it will help you
Good luck on your assignment
A bag contains 4 blue marbles, 6 green marbles, 3 yellow marbles. b) What's the probability of drawing a yellow marble?
Answer:
3/13
Step-by-step explanation:
There are 13 marbles in the bag, 3 of them are yellow, so the probability of yellow marbles being drawn is 3/13
Distance between -13,10 and -7,2
The right answer is 10 units.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Mrs. Bogaczyk got bored and decided to go on an Amazon spending spree! She bought 3 pairs of flip flops for $14.95 each, a sundress for $21.50 and two tanks tops...One that was $9.99 and one that was $15.44. The tax came to $7.34 but shipping was free. How much did Mrs. B. Spend altogether? If the budget for spending was $100, how much money does Mrs. B. Have left?
Step-by-step explanation:
3 pairs of flip flops = 14.95 x 3 = 44.85
Total amount spent = 44.85 + 21.50 + 9.99 + 15. 44 = 91.78
After adding tax = 91.78 + 7.34 = 99.12
Mrs B spent 99.12 altogether
Budget = 100
Then money left = 100 - 99.12 = 0.88
Simplify Negative 3 over 2 divided by 9 over 6.
Answer:
-1
Step-by-step explanation:
So in this case your dividing -3/2 by 9/6
So a strategy I learned was KCF aka. keep change and flip.
Therefore, in this case you keep -3/2
You change the dividing sign into multiply and then you flip 9/6 which makes 6/9.
These leaves us with -3/2 x 6/9
After multiplying, you'll probably get -18/18.
Which leaves us with -1 since if you divide a positive by a negative or a negative by a positive it'll give you a negative number.
Hopefully this helped! :)
Find the mean, median and mode of these numbers
11,10,8,10,1
12,10,16,28,15,29,26,16,1
13,11,12,8,10,6
9,12,5,9,14,5,7,8,9,2
Thank you for helping!
Answer:
11, 10, 8, 10, 1
mean - 8
median - 10
mode - 10
12, 10, 16, 28, 15, 29, 26, 16, 1
mean - 17
median- 16
mode - 16
13, 11, 12, 8, 10, 6
mean - 10
median - 10
mode - no mode
9, 12, 5, 9, 14, 5, 7, 8, 9, 2
mean- 8
median- 8.5
mode - 9
mean - add up all numbers then divide that answer by how many numbers there are
median - put all the numbers in order and find the middle number
mode- most frequent number
What is the area of the shaded region? A. 21mm B. 24 mm C. 42 mm D. 48 mm
Answer:
Can i see a pic of the shaded part?
Step-by-step explanation:
Sarah solved a quadratic equation. Her work is shown below, with Step 1 missing.
What could Sarah have written as the result from Step 1?
2(x + 1)2 +6 = 134
Step 1
(x+1)2 – 64
Step 2
2+1 =18
Step 3
x = -9 or x = 7 Step 4
Khan academy quiz
Answer:
c.2(x+1)^2=128
Step-by-step explanation:
The missing step that Sarah has to write as the result of Step 1 will be 2(x + 1)² = 128.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
2(x + 1)² + 6 = 134
Simplify the equation, then we have
2(x + 1)² + 6 = 134
2(x + 1)² = 128
(x + 1)² = 128 / 2
(x + 1)² = 64
Take square root on both sides. Then we have
(x + 1) = ± 8
x = - 1 ± 8
x = - 1 - 8, - 1 + 8
x = - 9, 7
The missing step that Sarah has to write as the result of Step 1 will be 2(x + 1)² = 128.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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A pound is approximately 0.45 kg . A persons weight 87 kg. What is the persons weight , in pounds, when rounded to the nearest whole number
Answer:191.80 lbs
Step-by-step explanation:
Answer:
190
Step-by-step explanation:
I need brainliest cutie
Two boats A and B Left a Port at the same time on different routes . B travelled on a bearing of 150º and A travelled on the North side of B . When A had travelled 8km and B had travelled 10km, the distance between the two boats was found to be 12km . Calculate the bearing of A's route from C.
Answer: 67.2°
Step-by-step explanation:
To find angle C, we have to use cosine rule. Therefore,
12² = 8² + 10² - 2 × 8 × 10 × cosC
C = 82.8°
The bearing of A from C will be
= 150° - 82.8°
= 67.2°.
5. Dos edificios distan entre si 150 metros. Desde un punto que está entre los dos edificios, vemos
que las visuales a los puntos más altos de estos forman con la horizontal ángulos de 35° y 20
¿Cuál es la altura de los edificios, si sabemos que los dos miden lo mismo?
Answer:
35.92 m
Step-by-step explanation:
To have a better comprehension of the problem, we can draw it as in the image attached.
If we use the tangent relation in both triangles, we have:
tangent(35) = h/x
tangent(20) = h/(150-x)
From the first equation, we have:
x = h/tangent(35) = h/0.7
From the second equation, we have:
0.364 = h / (150 - h/0.7)
54.6 - 0.52h = h
1.52h = 54.6
h = 35.92 m
What is m wtv in degrees
We have been given image of a circle. We are asked to find the measure of angle WTV.
We know that measure of an inscribed angle is half the measure of intercepted arc.
We can see that angle WTV is inscribed angle to arc WV. So measure of angle WTV will be half the measure of arc WV.
[tex]\angle WTV=\frac{1}{2}\widehat{WV}[/tex]
[tex]\angle WTV=\frac{1}{2}\cdot 90^{\circ}[/tex]
[tex]\angle WTV=45^{\circ}[/tex]
Therefore, the measure of angle WTV is 45 degrees and 2nd option is the correct choice.
In the following diagram, HI is parallel to JK. What is the measure of x?
Answer:
60
Step-by-step explanation:
find the missing angle in triangle HAI =60.
VERTICALLY OPPOSITE ANGLES ARE EQUAL.=60
Angle x is alternating with the angle.
Answer:
[tex]x = 60 \: \: degrees[/tex]
Step-by-step explanation:
Lets take LAH angle as 'y'[tex]61 + 59 + y = 180 \\ 120 + y = 180 \\ y = 180 - 120 \\ y = 60 \: \: degrees[/tex]
[tex]y = x(corresponding \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: angles) \\ 60 = 60 \\ \\ [/tex]
[tex]x = 60 \: \: degrees[/tex]
the expression 1350(1.05)^t models the average wages, in dollar, in the us as a function of the number of years since 1930. what does 1.05 represent in this expression.
Answer:
The average wage in the us increase by about five percent
Step-by-step explanation:
The 1.05 represents the rate of increasing average wages in the US, and it depicts that average wages are increasing by 5 %.
What is the percentage?As it is clear from the term per cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.
Given the expression,
[tex]1350(1.05)^t[/tex]
As it is clear that this is the formula for the amount,
[tex]A = P \times (1+r/100)^t[/tex]
Here, the value of the middle expression is 1.05, which can be written as 1 + 5 / 100.
Therefore, it is the rate of increasing wages in the US, and it depicts that the wages are increasing by 5 %.
To know more about percentages:
https://brainly.com/question/26080842
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Find the length of DE
Answer:20
Step-by-step explanation:
A 2-pound bag of chocolate candies costs $5.37. What is the unit price, rounded to the nearest cent?
Answer:
$2.69/pound ($2.69 per pound)
Step-by-step explanation:
The unit price means the cost of one pound of candies. To find this, we'll half the cost of 2 pounds of candies, which is 5.37 / 2 = $2.69 / pound. Hope this helps!
Someone please help me
Answer:y= 4x+2
Step-by-step explanation:
Points A, B, and C are collinear and B is between A and C. You are given AC = 18 and BC = 4. What is the value of AB?
Answer: AB = 14 units.
Step-by-step explanation:
Collinear means that we can draw a line that goes trough the 3 points.
We also know that B is between A and C, so we may have something like:
----A---------B--------------C------------
The distance between A and C is 18 units.
And the distance between B and C is 4 units.
Looking at that description, you can see that the distance between A and B is equal to the distance between A and C minus the distance between B and C.
So we have:
AB = AC - BC = 18 units - 4 units = 14 units.