What’s the answer to this question?
Answer:
f(x) = x/8
Step-by-step explanation:
f(x) = y
y = 8x
switch the x and y
x = 8y
solve for y
Calculus3 - Infinite sequences and series ( URGENT!!)
Answer:
Limit=0
Converges
Absolutely converges
Step-by-step explanation:
If [tex]a_n=\frac{2^n n!}{(3n+4)!}[/tex]
then [tex]a_{n+1}=\frac{2^{n+1} (n+1)!}{(3(n+1)+4)!}[/tex].
Let's rewrite [tex]a__{n+1}[/tex] a little.
I'm going to hone in on (3(n+1)+4)! for a bit.
Distribute: (3n+3+4)!
Combine like terms (3n+7)!
I know when I have to find the limit of that ratio I'm going to have to rewrite this a little more so I'm going to do that here. Notice the factor (3n+4)! in [tex]a_n[/tex]. Some of the factors of this factor will cancel with some if the factors of (3n+7)!
(3n+7)! can be rewritten as (3n+7)×(3n+6)×(3n+5)×(3n+4)!
Let's go ahead and put our ratio together.
[tex]a_{n+1}×\frac{1}{a_n}[/tex]
The second factor in this just means reciprocal of [tex]{a_n}[/tex].
Insert substitutions:
[tex]\frac{2^{n+1} (n+1)!}{(3(n+1)+4)!}×\frac{(3n+4)!}{2^nn!}[/tex]
Use the rewrite for (3(n+1)+4)!:
[tex]\frac{2^{n+1} (n+1)!}{(3n+7)(3n+6)(3n+5)(3n+4)!}×\frac{(3n+4)!}{2^nn!}[/tex]
Let's go ahead and cancel the (3n+4)!:
[tex]\frac{2^{n+1} (n+1)!}{(3n+7)(3n+6)(3n+5)}×\frac{1}{2^nn!}[/tex]
Use 2^(n+1)=2^n × 2 with goal to cancel the 2^n factor on top and bottom:
[tex]\frac{2^{n}2(n+1)!}{(3n+7)(3n+6)(3n+5)}×\frac{1}{2^nn!}[/tex]
[tex]\frac{2(n+1)!}{(3n+7)(3n+6)(3n+5)}×\frac{1}{n!}[/tex]
Use (n+1)!=(n+1)×n! with goal to cancel the n! factor on top and bottom:
[tex]\frac{2(n+1)×n!}{(3n+7)(3n+6)(3n+5)}×\frac{1}{n!}[/tex]
[tex]\frac{2(n+1)}{(3n+7)(3n+6)(3n+5)}×\frac{1}{1}[/tex]
Now since n approaches infinity and the degree of top=1 and the degree of bottom is 3 and 1<3, the limit approaches 0.
This means it absolutely converges and therefore converges.
Please help! What is the domain of the function shown in the graph?
Answer:
nnmb cgchmfxmgfmv vb , mnio qrstuvwxyz
abcdefghijklmnoprstuvxxyz
Step-by-step explanation:
now i know my abcs next time wont you sing with me
What is the common ratio of the sequence?
-2, 6, -18, 54,...
-3
-2
3
8
Answer:
-3
Step-by-step explanation:
expression 6 times 50
Answer:
6x50=300
Step-by-step explanation:
because math
Answer:
6*50
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
6*5=30*10=300
1. Rita is hiking along a trail that is 113.7 miles long. On the first day she hiked of 1 10 the distance of the trail. On the second day she hiked the same distance as the first day. How much of the trail does she have left to hike?
Answer:
She has 90.96 miles of the trail to hike.
Step-by-step explanation:
Length of the trail:
The length of the trail is of 113.7 miles.
On the first day she hiked of 1/10 the distance of the trail.
Thus:
[tex]\frac{1}{10(113.7) = 11.37[/tex]
On the first day she hiked 11.37 miles.
On the second day she hiked the same distance as the first day.
Also 11.37 miles on the second day, and thus, 2*11.37 = 22.74 miles on the first two days.
How much of the trail does she have left to hike?
113.7 - 22.74 = 90.96
She has 90.96 miles of the trail to hike.
A plane travels a distance of 22,000 km in a time of 3.6 hours.
What is its average speed rounded to the nearest whole number?
in km/h
Answer:
6111 km/hr
Step-by-step explanation:
Given
Distance travels by plane d=22,000 km
time taken t=3.6 hours
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
tan ydx - x ln xdy=0
Answer:
Uuuzu7ggijjrudidjdiwisiwiwieie
In what time will #250 gain #120 at 2%
Answer: 24 years
Step-by-step explanation:
Based on the information given, we've been given,
Principal = #250
Interest = #120
Interest rate = 2%
Time = Unknown
Interest = PRT/100
120 = (250 × 2 × Time)
Cross multiply
120 × 100 = (250 × 2 × T)
12000 = 500T
Time = 12000/500
Time = 24
It will take 24 years.
examples of addition of three fractions ( between 0-1) with a common denominator. IN STEPS ALL WORK, I need two examples.
Answer:
1/6 + 2/6 + 3/6 = 6/6 = 1
1/7 + 2/7 + 4/7 = 7/7 = 1
1/8 + 2/8 + 3/8 = 6/8 = 0.75
1/9 + 2/9 + 3/9 = 6/9 = 2/3 = 0.66 (repeater dot above first 6)
1/10 + 2/10 + 3/10 = 6/10 = 3/5 = 0.6
1/12 + 2/12 + 3/12 = 6/12 = 1/2 = 0.5
All numerators in consecutive form 1, 2, 3 adds up to 6
Where 7/7 as a numerator is easier to work with than 6/7 as 6/7 does not leave a whole number as easy as 7/7 does leave whole number = 1.
We notice just 8 and 9 does not leave to 1 decimal point when adding the first consecutive numerators of that whole.
Where 10.and 12 does leave to 1dp as these numbers are not prime numbers like co prime numbers 7 and 11.
Step-by-step explanation:
A final statistics exam had a mean of 70 and a variance of 25. If Bruce earned an 80 on his exam, what is his score?
Answer:
2
Step-by-step explanation:
Value = 80
Mean = 70
Variance = 25
Standard deviation=root(Variance)=root(25)=5
z score = (value - mean)/standard deviation
= (80-70)/5
= 10/5
= 2
z-score using mean 70 and variance 25 is 2
Given :
A final statistics exam had a mean of 70 and a variance of 25
First we find out standard deviation using variance
standard deviation =[tex]\sqrt{variance} =\sqrt{25} =5[/tex]
Now we find out z-score
[tex]z-score =\frac{value - mean}{standard \; deviation }[/tex]
value =80
mean=70 and standard deviation =5
substitute all the values
[tex]z-score = \frac{80-70}{5} =2[/tex]
So, his z-score using mean and variance is 2
Learn more : brainly.com/question/10649097
What are the coordinates of B’ if the figure is reflected across the x-axis?
What is the mapping rule for finding the coordinates of a figure reflecting across
A) the x-axis (x,y) ->
B) the y-axis (x,y) ->
Answer:
Step-by-step explanation:
B( 3, -3) given the figure
B' ( 3, 3) because the x-axis intersects the mid point between B and B'
A) (x, y) reflected across x-axis becomes ( x, -y)
B) (x, y) reflected across y-axis becomes ( -x, y)
Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results given below are among the results obtained in the study. Higher scores correspond to greater pain levels. Is this study an experiment or an observational study?
The study conducted in the scenario above is an experimental study because the subjects were given treatment.
Observational study involves monitoring the relationship between variables through observation without giving any treatment during the course of the study.
Experimental study on the other hand involves the introduction of a treatment or intervention in other to study the cause and effect or relationship between the variables.
In the scenario above, the research intends to demonstrate the effectiveness of a treatment(magnets) for back pain. The presence of a treatment in this research study makes it an experimental study.
Learn more : https://brainly.com/question/18763307?referrer=searchResults
Pleaseeee help is for today
Answer: a + ( 2a - 7 ) = 41
Explanation:
Let be "a" the Nicci's age and "s" the Nicci's sister.
You know that the sum of Nicci's age and her sister's age is 41. This can be represented with the following equation:
a + 8 = 41
And knowing that Nicci's sister is 7 years less than twice Nicci's age, you can write another equation to represent this:
8 = 2a - 7
Now, substitute the second equation into the first equation in order to find the equation that represents this relationship.
Then, this is:
a + ( 2a - 7 ) = 41
Hope it helps...
Ms. Harlow had 56 tickets. She gave 2 tickets to each of her 21 students.
Which set of equations shows how many tickets Mrs. Harlow had left?
21 x 2 = 42
OA)
56 - 42 = 14
56 - 21 = 35
ОВ)
35 - 2 = 33
21 x 2 = 42
OC)
56 + 42 = 98
56 - 21 = 35
OD)
35 + 2 = 37
Answer: 56 - 42
Step-by-step explanation: She gave 2 to EACH of her 21 students. So 2 * 21 = 42. 56 - 42
Solve for A
a=22/7•13/4^2
Answer:
A= ~2.55
Step-by-step explanation:
Using Pemdos, or gemdos, you can find you do the exponent first
4^2 = 16
then to everything else in left to right order since they're all multiplication or division
22/7 = ~3.14 * 13 = ~40.86/16 = ~2.55
(I'm using "~" to mean about/rounded to)
Solve for x. Round to the nearest hundredth.
A. 0.02
B. 25.17
C. 0.03
B. 12.27
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(64) = x/28
x/28 = cos(64)
x = 28*cos(64)
x = 12.2743921100941
x = 12.27
CAN SOMEONE HELP WITH THE STEPS THXX
Sudoku ayúdeme por fa resolviendo
Answer:
7
Step-by-step explanation
v:numero de mi dios vegetta
plsssss help it’s timed!!!!!!
Answer:
the answer to this question is 36.86989°
Inflation is running 1.1% per year when you deposit $5,000 in an account earning 4.4% compounded continuously. In constant dollars, how much money will you have 6 years from now?
a. $6439.80
b. $6097.01
c. $1169.51
d. $6510.64
The value of the money including inflation after 6 years will be $6510.64.
What is inflation?The rate at which prices grow over a specific time period is known as inflation. Inflation is often measured in broad terms, such as the general rise in prices or the rise in a nation's cost of living. But it may also be computed more precisely for some products, like food, or for services, like a haircut, for instance. In any situation, inflation refers to how much more costly the pertinent collection of products and/or services has grown over a predetermined time frame, most frequently a year.
Given that, Inflation is running at 1.1% per year when you deposit $5,000 in an account earning 4.4% compounded continuously.
deposit amount (P) = $ 5000
Rate (r) = 4.4 %
Time (t) = 6 years
Compound continuously
Amount (A)= 5000 e⁰°⁰⁴⁴ˣ ⁶
A = $ 6,510.64098
A = $ 6510.64
Total accumulated money after 6 years = $ 6,510.64
value of money decreases due to inflation
The real value of money after n years with the rate of inflation i = 1.1%
yₙ = A( 1 / (1+i) )ⁿ
y₆ = 6510.64 (1 / ( 1 + 0.011))⁶
y₆ = 6,097.008
Real value of money = $ 6,097.01
Therefore, after 6 years real value of the money including inflation will be $ 6,097.01.
Learn more about inflation here:
https://brainly.com/question/29308595
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Which of the following question is not considered a statistical question?
Answer:
B. How many total customers were at the story today?
Step-by-step explanation:
Option 'B' is not a statistical question because there is not more than one answer.
There is only one answer to this question.
Option 'A,' 'C,' and 'D' are statistical questions because there is more than one answer.
What amounts did each person at the store spend on their purchase?
This question has more than one answer.
How long did each customer spend shopping at the store?
What are the heights of each customer who entered the store?
These questions have more than one answer as well.
Statistical questions are questions that have more than one answer. This means you can collect data.
I, therefore, believe that option 'B' is not a statistical question.
What is 2/3 – (-2/3)
?A.-4/3
B.4/3
C.0
D.2/3
Answer:
It's C, they both cancel each other out
The square root of -2 rounded to nearest 100th?
Answer:
√-2 ≈ 1.41i
Step-by-step explanation:
√-2 = i√2 = i × 1.414.. ≈ 1.41i
Una persona ha sido mordida por un insecto venenoso. Se comenzó a sentir mal pasados 30 minutos, 2 horas después acudió a un centro de urgencias donde fue atendido pasados 90 minutos. Si se estima que el porcentaje de sangre contaminada t horas después de ocurrida la mordedura es P =18t – t2 + 6
¿Qué porcentaje de sangre contaminada tiene este paciente al momento de ser atendido?
what percentage of 7 1/2 is 2 1/2
Answer:
7+½ = (7*2+(1))/2=15/2
Step-by-step explanation:
2+½ =5/2 and. (15/2)/(5/2)=3. this means %33.3333
A burger place sells vanilla and chocolate shakes in two sizes, small and large. If 62% of shakes sold are vanilla flavor, 46% are size large, and 23% are large vanilla shakes which size/flavor combination is the most popular? (i.e. has the highest percentage)
Answer:
25 gfstuhfujjjjjgredeetuu
At the end of the week the mileage is 2834
Fayez knows he used 75.2 litres of petrol during this week.
The handbook states that the limousine uses 1 gallon of petrol for every 20 miles.
Fayez wants to know if his limousine used 1 gallon of petrol for every 20 miles that week.
1 gallon = 4.54 litres
Did his limousine use 1 gallon of petrol for every 20 miles that week?
Mileage = 2529
Answer: Yes
Step-by-step explanation:
The mean birth weight for children born in a certain country at full term (after 40 weeks) is 3500grams; the standard deviation for birth weight is 500 grams. The shape of the distribution is symmetric and unimodal. About 34% of the weights are between what two values?
Answer:
About 34% of the weights are between 3280 grams and 3720 grams.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 3500 grams, standard deviation of 500 grams.
This means that [tex]\mu = 3500, \sigma = 500[/tex]
About 34% of the weights are between what two values?
Between the 50 - (34/2) = 33rd percentile and the 50 + (34/2) = 67th percentile.
33rd percentile:
X when Z has a p-value of 0.33, so X when Z = -0.44.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.44 = \frac{X - 3500}{500}[/tex]
[tex]X - 3500 = -0.44*500[/tex]
[tex]X = 3280[/tex]
67th percentile:
X when Z has a p-value of 0.67, so X when Z = 0.44.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.44 = \frac{X - 3500}{500}[/tex]
[tex]X - 3500 = 0.44*500[/tex]
[tex]X = 3720[/tex]
About 34% of the weights are between 3280 grams and 3720 grams.
if 4 men can do a piece of work in 12 days, how many days will 6 men take.
Answer: 2 days
Step-by-step explanation:
M D W
4 3 12
6 2 12