Answer:
f(1)= 5
so x=1
f(5)= 5(5-1) = 20
The value of f(5) is 3125.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
f(1) = 5 and f(n) = 5f(n − 1)
Now, for finding the the 5 th term we have to find the remaining four term before the 5th term.
So, n=2
f(2) = 5f(1)
f(2)= 5(5)
f(2)= 25
Now, n=3
f(3) = 5f(2)
f(3)= 5(25)
f(3)= 125
Now, n=4
f(4) = 5f(3)
f(4)= 5(125)
f(4)= 625
Now, n=5
f(5) = 5f(4)
f(5)= 5(625)
f(5)= 3125
Hence, the value of f(5) is 3125.
Learn more about function here:
https://brainly.com/question/12431044
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Please help me answer this!!!
Find the mean and compare it with the median. Find the standard deviation and compare it with the interquartile range
Question:
Find the mean and compare it with the median. Find the standard deviation and compare it with the interquartile range. Calculate s for the data 4, 1, 3, 10, 2.
Answer:
(a)
[tex]Mean = 4[/tex]
[tex]Median=3[/tex]
[tex]Mean > Median[/tex]
(b)
[tex]IQR = 2[/tex]
[tex]SD = 3.2[/tex]
[tex]SD> IQR[/tex]
Step-by-step explanation:
Given:
Data: 4, 1, 3, 10, 2.
Solving (a): The mean and the Median
The mean is calculated as follows:
[tex]Mean = \frac{1}{n} \sum x[/tex]
Where
[tex]n = 5[/tex] i.e 5 data
So, the expression becomes:
[tex]Mean = \frac{1}{5}(4 + 1+3+10+2)[/tex]
[tex]Mean = \frac{1}{5}(20)[/tex]
[tex]Mean = 4[/tex]
Calculating the Median:
First, arrange the order (ascending order):
[tex]Data: 1, 2,3,4,10[/tex]
Because n is odd
The median is represented as:
[tex]Median = (\frac{n+1}{2})th\ item[/tex]
[tex]Median = (\frac{5+1}{2})th\ item\\[/tex]
[tex]Median = (\frac{6}{2})th\ item[/tex]
[tex]Median = 3rd\ item[/tex]
From the arranged data, the 3rd item is 3.
Hence:
[tex]Median=3[/tex]
By comparison, the mean is greater than the median because [tex]4 > 3[/tex]
Solving (b): Standard Deviation and IQR
The standard deviation is calculated as follows:
[tex]SD= \sqrt{\frac{\sum (x_i - Mean)^2}{n}[/tex]
So, we have:
[tex]SD= \sqrt{\frac{(4 - 4)^2+(1 - 4)^2+(3 - 4)^2+(10 - 4)^2+(2 - 4)^2}{5}[/tex]
[tex]SD= \sqrt{\frac{(0)^2+(- 3)^2+(- 1)^2+(6)^2+(-2)^2}{5}[/tex]
[tex]SD= \sqrt{\frac{0+9+1+36+4}{5}[/tex]
[tex]SD= \sqrt{\frac{50}{5}[/tex]
[tex]SD= \sqrt{10}[/tex]
[tex]SD = 3.2[/tex]
Calculating IQR
[tex]IQR = Q_3 - Q_1[/tex]
[tex]Data: 1, 2,3,4,10[/tex]
In (a), we calculate the median as:
[tex]Median=3[/tex]
First, we calculate [tex]Q_1[/tex]
[tex]Q_1 = Median\ of\ the\ first\ half.[/tex]
The first half is:
[tex]First\ Half = 1,2,3[/tex]
So:
[tex]Q_1 = 2[/tex]
First, we calculate [tex]Q_3[/tex]
[tex]Q_3 = Median\ of\ the\ second\ half.[/tex]
[tex]Second\ Half = 3,4,10[/tex]
So:
[tex]Q_3 = 4[/tex]
Recall that:
[tex]IQR = Q_3 - Q_1[/tex]
[tex]IQR = 4 - 2[/tex]
[tex]IQR = 2[/tex]
So, we have:
[tex]IQR = 2[/tex]
[tex]SD = 3.2[/tex]
By comparison, the standard deviation is greater than the IQR because:
[tex]3.2 > 2[/tex]
So,
[tex]SD> IQR[/tex]
7/8 - 1/4=
Explain how you got your answer
Answer:5/8
Step-by-step explanation: transform the expression 8 so 7-2/8 =5/8
Answer:
5/8.
Step-by-step explanation:
BRAINLIEST: the Spanish club sold homemade tamales to raise money for field trips their goal was to raise $400. on the first day, they made $100 the second day their sales totaled $143 how much money did the Spanish club need to make to reach their goal after the first two days of sales?
Answer:
the correct answer is 257
What expression is equivalent to 30 divided (3 + x)
Answer:
10+x/3
Step-by-step explanation:
Can someone help me please this is due? ASAP
Answer:
x=12
Step-by-step explanation:
since they are supplementary they will have a sum of 180 degrees
The equation should look like this- (5x+4)+(4x+80)=180
after solving the equation- you get x=12
in order to see if that is correct you would plug in 12 where x is in our equation (5x+4)+(4x+80). which does equal 180 when 12 is plugged in
Therefore, 12 is your answer
20 POINTS!!!
Think of an activity that you enjoy or are interested in. Some examples are reading, swimming, or leveling up your gaming character. Use your activity to work through the following problems:
Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Write the inequality and show all work to solve the inequality.
Graph the solution to your inequality on a number line.
Explain what your solution means in the context of the problem.
Answer:
you should put 20 points if you answer the question+ brainliest. if you dont people will think its free for example. I have a question you can answer to get your points back, just say something random. Sorry I couldnt help you but thanks for the points.
Step-by-step explanation:
It costs $3 to bowl a game and $2 for shoe rental. a. Write an expression for the total cost (in dollars) of $g$ games. Expression: b. Use your expression to find the total cost of 8 games. Cost of 8 games: $
Answer: a. Total cost = 3g+2
b. The total cost of 8 games is $26.
Step-by-step explanation:
Given: Cost to bowl a game = $3
Shoe rental charge = $2 (One -time charge)
Total cost = (Cost to bowl a game) x (Number of games)+ (Shoe rental charge )
Let g= number of games, then the expression to find the total cost will be :
Total cost = 3g+2
To find the total cost of 8 games, put g=8, we get
Total cost = 3(8)+2
= 24+2 = $26
Therefore , the total cost of 8 games is $26.
Dan earns £292 over the course of a five-day week. How much is that per day?
Answer:
58.40
Step-by-step explanation:
292 ÷ 5 = 58.40
hope this helps...
Answer:
58.40
Step-by-step explanation:
292 divided by 5 = 59.40
HELP ME PLEASE 30 POINTS ON THE LINE
Answer:
88
Step-by-step explanation:
First we do what is inside the parenthesis:
(6+2)=8
Then we do:
[tex]8^{2}[/tex]=64
So:
[tex]14+[64 + 10][/tex]
Then we do brackets:
14+{74}
Then we add:
88
Answer: 88
Step-by-step explanation:
14 + ((6 + 2^)2 + 10)
Remove parentheses.
14 + (6 + 2)^2 + 10
Simplify each term.
Add 6 and 2.
14 + 8^2 + 10
Raise 8 to the power of 2.
14 + 64 + 10
Simplify by adding numbers.
Add 14 and 64.
78 + 10
Add 78 and 10.
88
what is the value of | 7 |?
Answer:
7 the brackets just makes any number in there positive
Step-by-step explanation:
Answer: for pozitive numbers its just the number in this case 7
Step-by-step explanation: if it was | -7 | it wood be 7
2x^2-8x (please can you help me do this question quick) :)
Answer:
Step-by-step explanation:
[tex]2x^2-8x=2x times 2x-8x=4x-8x=-2x[/tex]
Hope this helps :)
What is the quotient of (x^3 + 3x^2 - 4x - 12) / (x^2 + 5x + 6)?
Answer:
The quotient is (x-2)
Step-by-step explanation:
Plz help.......................
Answer:
perpendicular
Step-by-step explanation:
4*(-1/4)=-1, so lines are perpendicular
Down the Babbling River
Some family and friends have asked you to plan an end-of-the-summer getaway. A
rafting company has agreed to take your group down the Babbling River. (It's actually a
little smaller than a river, more like a brook.) The rafting company has given you specific
details as to how much weight each raft can hold. A raft can safely carry the weight of 24
babies. As everyone knows, the weight of 12 babies is exactly equal to the weight of 4
kids; the weight of 6 kids is equal to the weight of 3 adults.
What is the fewest number of rafts needed for a trip with 11 adults, 5 kids, and 21
babies?
can someone help me plz.
Mrs. Martins class will participate ina math-A-thon to raise money for a class trip. The math-A-thon workbook has 100 math problems. Students can raise money based on the number of math problems they answer correctly or by accepting a donation without regard to the number of math problems answered correctly. Prizes are rewarded to students who raise $50 or more. Daylyn,a student in the class, answers 80 math problems correctly. His grandmother pays $0.25 per correct answer. His uncle gives him a donation. If daylyn receives $45 total from his grandmother and uncle, how much money does his uncle give him? Write an equation and solve to find your answer.
Answer:
$25
Step-by-step explanation:
First, you would do 80 x $0.25 = $20. (Meaning 80 math problems he answered correctly times the $0.25 he got for each one correct.)
Next, you do $45 - $20 which equals $25.
In conclusion, he gets $25 from his uncle.
Which of the following processes in the water cycle causes the formation of clouds?condensation evaporation infiltration transpiration
It is A: Condensation.
Condensation is the process by which water vapor in the air is changed into liquid water. Condensation is a apart of the water cycle because it is responsible for the formation of clouds.
Which is cheaper? Buying 3 cans of bake beans at 1.50 each or a triple pack for $5
Answer:
Buying 3 cans individually.
Step-by-step explanation:
If you bought 3 cans for 1.50 it would be 4.50.
If you bought a triple pack it would be 5 dollars.
So 4.50 is less than 5 dollars.
Hope this helps!
Answer:
The 3 cans of beans at 1.50 each would be cheaper than the triple pack for $5.
Step-by-step explanation:
1.50 x 3 = 4.50, which is less than (<) 5.
1. True/False: A structure is a form, arrangement or built
2. Function is what its job is, what it's work is, what is it used for, etc.?
True/False?
3. Level of Organisms starts with cells. True /False?
4. Cell form tissues- tissues form organs-organs form organisms. True/
False?
5. There are External and Internal structures. True or False?
Answer:i know number one its true
Step-by-step explanation: thats all i know
Please please help me
If 2/3 of the girls in class have brown eyes and 1/4 of the girls have blue eyes, what fraction of the girls in class have neither blue or brown eyes?
Answer: 1/12
Step-by-step explanation:
If y - 1 = 4x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
O {(1,4), (2, 8), (3, 12)}
{(4.1), (8,2). (12,3)}
{(0, 1), (1,5), (2, 9)}
{(1.0), (5, 1). (9. 2)}
(Flvs)
help this is due soon but i can’t figure this out. i don’t remember being taught this
Step-by-step explanation:
Given
Volume (V) = 313 in³
π = 3.14
Height (h) = 16 in
Radius (r) = ?
We know.,
Volume of cone (V)
[tex]313 = \frac{1}{3} \pi {r}^{2}h [/tex]
[tex]313 \times 3 = 3.14 \times 16 \times {r}^{2} [/tex]
[tex]939 = 50.24 {r}^{2} [/tex]
[tex]18.69 = r^{2} [/tex]
[tex]r = \sqrt{18.69} [/tex]
r = 4.32 in
[tex]( hope \: it \: will \: help})[/tex]
help please urgent don't have much points 10 points
Answer:
Y=70
X=110
Step-by-step explanation:
if the inside of a triangle equals 180, than 70 plus 40 equals 110 which mean Y =70. if a straight line eguals 180 as well 180-70= 110 X= 110
If two angles are supplementary then they add to 180...Whats the converse inverse and contrapositive
Answer:
Converse: If two angles are supplementary then they add up to 180 degrees.
Inverse: If two angles are not supplementary then they do not add up to 180 degrees.
Contrapositive: If angles do not add up to 180 degrees, then the two angles are not supplementary.
Step-by-step explanation:
In logic the converse of an implication is obtained by reversing its two constituent statements. That is, for P → Q, then the converse is Q → P.
The inverse of a conditional statement involves the negation of both the hypothesis and conclusion. That is, for p → q, the Inverse is ~p → ~q note that ~ stands for NOT in the negation of the statement.
For a contrapositive of any conditional statement, we interchange the hypothesis and the conclusion of the inverse statement as shown in statement III in the answer above.
Solve: 3 1/2 - 1 2/3 =
Answer:
Exact Form:
11/6
Decimal Form:
1.83
Mixed Number Form:
1 5/6
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Andre's dad wants to buy a used car to give to Andre for his birthday. The car costs $7,500 to
purchase and $0.15 per mile for gas and maintenance. After how many miles will the total cost
equal $15,000?
A.
500
B.
1,125
C.
14,333
D.
50,000
[Will give brainliest]
Answer:
The answer is D
Step-by-step explanation:
50,000 x 0.15 = 7500 and then you add the car cost (7500) it will add up to 15,000$
Find answer for brsinlest
2. 6x + 29 = 5 (1 point)
-4
-18
204
-144
Answer:
x = -4
Step-by-step explanation:
6x + 29 = 5
+29 -29
------------------------
6x = -24
÷6 ÷6
---------------
x = -4
6(-4) = -24 + 29 = 5