Answers
Answer:
a^n +3
Step-by-step explanation:
simpify: a^na^3:\quad a^{n+3}
a^{n+3}
Related Questions
A mosquito is walking at random on the nonnegative number line. She starts at $1$. When she is at $0$, she always takes a step $1$ unit to the right, but, from any positive position on the line, she randomly moves left or right $1$ unit with equal probability. What is the expected number of times the mosquito will visit $0$ before the first time she visits $4$?
Answers
The expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.
Given that repeatedly throwing a fair tetrahedral die, trying to get a 4 (success) before getting a number from 1 to 3 (failure), which follows a geometric distribution.
To find the expected number of visits to 0 before reaching 4, analyze two cases:
success (reaching 4 before 0) and failure (reaching 0 before 4).By the given data, the probabilities of two cases are:
P(success) p = 1/4,
P(failure)=3/4.
The expected count of failures, X, can be found in terms of success probability p as
[tex]E[X]=\sum_{x=0}^{+\infty}[x(1-p)^xp][/tex]
On substituting p = 1/4 gives:
[tex]E(X) = 0(1/4)+1(3/4)(1/4)+2(3/4)^2(1/4)+3(3/4)^3(1/4)+.........[/tex]
On taking (1/4) gives
[tex]E(X) = 1/4[3/4+(3/4)^2+(3/4)^3+......+\infty]----(1)[/tex]
Consider [tex]3/4+(3/4)^2+(3/4)^3+......+\infty[/tex]
This forms a geometric series tends to infinity and the sum is given by :
[tex]S_\infty = a/(1-r)[/tex]
Here: a= 3/4
r = 3/4
Plugging these values into formula gives:
[tex]3/4+(3/4)^2+(3/4)^3+......+\infty = S_\infty[/tex]
[tex]S_\infty= 3/4/(1-3/4)[/tex]
On subtracting the denominator gives:
= 3/4/(1/4)
On taking reciprocal gives:
= 3/4 * 4
On simplifying gives:
= 3
Substituting these value into given equation 1 gives:
E(X) = 1/4*[3]
On multiplying gives:
E(X) = 3/4.
Therefore, the expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.
Learn more probability about here:
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5, 18, 6, 18, 13 WHATS THE INTERQUARTILE RANGE??
Answers
Answer: 12.5
Step-by-step explanation:
25th Percentile: 5.5
50th Percentile: 13
75th Percentile: 18
Interquartile Range: 12.5
Is the relation in the mapping below a function? Explain.
Domain
1,3,5,7
Range
2,4,6
Answers
Answer: No
Step-by-step explanation:
The range and the Domain aren’t equal
Answer correctly please !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answers
m HGJ = (2x + 36)
Find m FGH
X = 14
7x16 112
2x16 32+36 68
68+112= 180
The answer is x = 16
Give brainest pls
At Cheng's Bike Rentals, it costs 31 to rent a bike for 6 hours.
How many hours of bike use does a customer get per dollar?
Answers
Answer:
0.2hrs/dollars
Step-by-step explanation:
Given parameters:
Cost of bike = $31
Time duration = 6hrs
Unknown:
Hours customers get per dollar = ?
Solution:
The number of hours customer gets per dollar is;
Number of hrs/dollar = [tex]\frac{time duration }{cost}[/tex]
Number of hrs/dollar = [tex]\frac{6hrs}{31}[/tex]
Number of hrs/dollar = 0.2hrs/dollars
Find the percent of decrease from 27 to 18.
PLEASE HELP
Answers
-33.33333333333333 %A change from 27 to 18 represents a negative change (decrease) of -33.33333333333333%
Use the formula found below on this webpage to find the percent changeby replacing the given values:Percent change = New - Old|Old| 100%Percent change = 18 - 27|27| x 100 = -927 x 100 = -33.33333333333333decrease)
Where: 27 is the old value and 18 is the new value. In this case we have a negative change (decrease) of -33.33333333333333 percent because the new value is smaller than the old value.
The Answer is: -33.33333333333333% or 33.3If using the method of completing the square to solve the quadratic equation x squared -20x+24=0, which number would have to be added to “complete the square”
Answers
Oksuru k diyaf ramincok ani kasilm asiyla olusan bir refle kstir.
What is the slope of the line that passes through the points (7,−6) and (4, -6) ? Write your answer in simplest form.
Answers
the answer is m = 0. i hope this helps-
if the cost of 8 mobile set is rs 40,000.how many mobile sets can be purchased for Rs 100,000
Answers
Answer:
20 mobile sets.
Step-by-step explanation:
Every mobile set costs:
40000 / 8
= 5000 Rs.
Therefore, for 100,000 Rs, the number of mobile sets that can be purchased is:
100,000 / 5000
= 20 mobile sets.
Hope this helped!
What are the domain and range of each relation?
Drag the answer into the box to match each relation.
Answers
Answer:
Step-by-step explanation: Domain is the x coordinates and range is the y coordinates
what is 20 percent of 140
Answers
Answer:
28
gotta divide
Step-by-step explanation:
A rock is thrown from a cliff into a ravine. The function ℎ() = −16^2 + 19 + 2560 describes the height, in feet, of the rock from the ground seconds after it is thrown. What is the height of the rock, in feet, 2 seconds after it is thrown?
Answers
Answer:
d
Step-by-step explanation:
The bottom one Staples has 9 cases of crayons with 1452 boxes in each case
Office Depot has 6 cases of crayons with 504 boxes in each cate
How many total boxes of crayons do both stores hove?
Answers
Answer:
d. 16,092
Step-by-step explanation:
Staples: 1452 x 9 = 13,068
Office Depot: 504 x 6 = 3,024
13,068 + 3,024 = 16,092
A carpenter use 65 shelves to make 13 bookcases. She uses the same number of shelves for each bookcase. Are 32 shelves enough to build 6 more bookcases?
Answers
Answer:
Yes.
Step-by-step explanation:
First, find the unit rate for 1 bookcase.
65 ÷ by 13 = 5 (unit rate)
Then, multiply the unit rate by the bookcases the carpenter wants to make.
6 · 5 = 30
Finally, subtract the shelves the carpenter wants to use by 30.
32 - 30 = 2 shelves.
Therefore, 32 shelves is enough to build 6 more bookcases. <3
What is 400,000 in scientific notation?
O A) 40 x 104
OB) 400 x 103
OC) 4 x 106
OD) 4 x 105
Answers
Answer:
4 x 10⁵
so that i think will be OD)
Simplify 45 / 3 + 2 * 8 - 12 + 42
Answers
Answer:
61
Step-by-step explanation:
PLEASE HELP!!!!! 2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)? 30 points if you can help
Answers
Answer:
22 units
Step-by-step explanation:
Known Quantities:
AB = CD and AC = BDCalculations:
AB = 8AC = 3CD = 8BD = 3Final Calculations:
perimeter = 2 x (3+8)perimeter = 22write 9.68 in expanded form
Answers
Answer:
9+0.6+0.08
Step-by-step explanation:
The given decimal number in expanded form is 9+0.6+0.08.
The given decimal number is 9.68.
What is expanded from of a decimal number?Unlike whole numbers, decimal numbers can also be written in the expanded form. For writing the decimals in expanded form, we multiply each of the decimal digits with increasing exponent values of (1/10).
Now, the expanded form of 9.68 is
9×1 + 6×1/10 + 8×1/100
= 9+0.6+0.08
= 9.68
Therefore, the given decimal number in expanded form is 9+0.6+0.08.
To learn more about the expanded form of a decimal numbers visit:
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A cuboid with a volume of 925cm^3 has dimensions.
4cm, (x + 1) cm and (x + 11) cm.
Show clearly that x^2 + 12x - 220 = 0
Solve the equation by factorising, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.
Answers
Answer:
Step-by-step explanation:
Volume of the cuboid = Length * Width * Height
Given
Length = 4cm
Width = (x+1)cm
Height = (x-11)cm
Volume of the cuboid = 4(x+1)(x+11)
Volume of the cuboid = 4(x^2+11x+x+11)
Volume of the cuboid = 4(x^2+12x+11)
Volume of the cuboid = 4x*2+48x+44
925 = 4x*2+48x+44
4x*2+48x+44-925 = 0
4x*2+48x-881 = 0
Divide through by 4
x^2 + 12x - 220.25 = 0
Factorize using the general formula;
x = -12±√12²-4(-220.25)/2
x = -12±√144+881/2
x = -12±√1025/2
x = -12±32/2
x = 12+32/2
x = 20/2
x = 10
Hence the dimension of the cuboid is 4cm, (10+1)cm and (10+11)cm
Dimension is 4cm by 11cm by 21cm
i'm doing a math worksheet and its asking me to describe the stair of a slope. what does that mean??
Answers
Answer:
i believe its the rise and the run of the slope.
Step-by-step explanation:
i believe its something similar to this photo
Write the equation in slope-intercept form 2x−8y=24
Answers
Answer:
y=1/4x - 3
Step-by-step explanation:
Answer:
[tex]y=\frac{1}{4}x-3[/tex]
Step-by-step explanation:
List some of the valid reasons that can be used in a proof:
Answers
Answer:
Experiment results, and more results!
They help a LOT!
Step-by-step explanation:
Byron's MP3 player holds 75 songs. He has space for 26 more songs. Write an equation to find how many songs are already on Byron's MP3 player.A.) 75 + s = 26 B.)75/s = 26 C.) 26s = 75 D.)s + 26 = 75
Answers
Answer:
D
Step-by-step explanation:
let the number of songs Byron have be s songs.
s + 26 = 75
Answer:
D
Step-by-step explanation:
s= number of songs played.
s+26=75
s-26=75-26
s=49
In triangleABC, a = 1.4 cm, b = 1.5 cm and c=1.5 cm. Find the measure of angleA to the nearest 10th of a degree.
Answers
Answer:55.6
Step-by-step explanation:
Answer:
55.6
Step-by-step explanation:
A small town has two local high schools. High School A currently has 850 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 60 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine after how many years, t,t, the number of students in both high schools would be the same.
Answers
An equation for each situation, in terms of t, is y = 850e^35t and
y = 700e^70t
The required equation will be in the form y = Ae^kt
where:
k is the growth constantA represents the number of students in High School A in t years.B represents the number of students in High School B after t years.If High School A currently has 850 students and is projected to grow by 35 students each year, hence;
A = 850k = 35 (growth factor)Substituting into the formula, we will have:
y = 850e^35t
If High School B currently has 700 students and is projected to grow by 60 students each year, hence;
A = 700k = 60 (growth factor)Substituting into the formula, we will have:
y = 700e^70t
An equation for each situation, in terms of t, is y = 850e^35t and
y = 700e^70t
Learn more on exponential function here: https://brainly.com/question/12940982
D=
R=
Function?
Find the domain and range of each relation. Then, determine if the relation is a function.
Answers
Answer:
Step-by-step explanation:
D = { - 4 , 0 , 2 , 7 }
R = { - 8 , - 1 , 3 }
Yes the relation is a function.
What expression represents the decimal 72.603
Answers
Answer: 7 x 10 + 2 x 1 + 6 x 1/10+ 3 x 1/1000
Step-by-step explanation: just had this question on the test
Simplify.
Rewrite the expression in the form 4^x.
4^4 x 4^3 = ??
Answers
Answer:
[tex]4^{7}[/tex]
Step-by-step explanation:
To simplify the expression [tex]4^{4}\times4^{3}[/tex], we can use the first law of the law of indices which states that the exponent is added together when multiplying numbers with the same base. Eg: [tex]a^{x}\times a^{y} = a^{x+y}[/tex].
[tex]4^4 \times4^3=4^{4+3}[/tex]
[tex]=4^{7}[/tex]
Hope this helps :)
Anna makes unique jewelry. The owner of the "Unique" store agreed with Anna to deliver 20 bracelets a week. At the moment, Anna has 80 bracelets made, and can make 17 bracelets a week. For how many consecutive weeks will Anna be able to supply her bracelets to the "Unique" store?
Answers
Answer:
7 weeks
Step-by-step explanation:
80 ÷ 20 = 4
She over those four week she makes 17 per week. So,
17 × 4 = 68
Next, divide the product by 20:
68 ÷ 20 = 3.4
But 3.4 is only 3 full weeks so then its 3.
Lastly, add the 3 weeks we just solved for the the 4 weeks from before and you get 7 weeks.
So, Anna will be able to supply the "Unique" store for 7 weeks.
I HOPE I HELPED!!!!!!!!!! :))))))
What's 6+2x^2 in factored form?
Answers
Answer:
2 ( x^2 + 3 )
Step-by-step explanation: