Answer:
3768068
Step-by-step explanation:
idk how i just googled a pattern analyzer
The next number in the sequence is 2420484
Given: The sequence of numbers 1, 24, 816, 3264, 12825, 651210
To find: The next number in the sequence
First we note that the number of digits in each term of the sequence increases by one and is equal to the place of the term in the sequence. So, the first term has 1 digit, the second term has 2 digits, the third term has 3 digits and so on.
The next term in the sequence should be the seventh term of the sequence and should have 7 digits.
Now, the geometric sequence starting from 1 and having a factor of 2 is given by,
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096,...
Now, we note that the terms of the given sequence are obtained by concatenating the digits of consecutive terms of the above sequence until the required number of digits are reached.
So, the first term, which has a limit of 1 digit, becomes 1
The second term, which has a limit of 2 digits, becomes the concatenation of 2 and 4, that is, 24
The third term, which has a limit of 3 digits, becomes the concatenation of 8 and 16, that is, 816
The fourth term, which has a limit of 4 digits, becomes the concatenation of 32 and 64, that is, 3264
The fifth term, which has a limit of 5 digits, becomes the concatenation of 128 and 256. However, since the fifth term has a limit of 5 digits. So, the term becomes 12825 with the 6 being carried over to the next term.
The sixth term, which has a limit of 6 digits, becomes the concatenation of 6 (carried over from the previous term), 512 and 1024. However, since this term has a limit of 6 digits. So, the term becomes 651210 with the 24 being carried over to the next term.
So, the next term (seventh term) should be the concatenation of 24 (carried over from the previous term), 2048 and 4096. However, this term should have a limit of 7 digits. So, the term should be 2420484 with 096 being carried over to the next term.
So, the next number should be 2420484.
Learn more about patterns of numbers here:
https://brainly.com/question/14060365
If x = -6, which inequality is true?
A-5 - 3x > 10
B-3-5x < -14
C 1-2x > 13
D 2-X<-3
Answer:
A. -5 - 3x >10
Step-by-step explanation:
-5 - 3(-6) >10
-5 + 18 >10
13 >10
A conjecture and the flowchart proof used to prove the conjecture are shown.
Given: AB¯¯¯¯¯∥XC−→−
Prove: m∠1+m∠2+m∠3=180°
A triangle with vertices labeled as A B and C. The interior angle C A B is labeled as 2, angle A C B is labeled as 1, and angle C B A is labeled as 3. Line X passes through upper vertex C and forms three angles. The interior angles are labeled as angle 4 and angle 5.
Drag and drop a statement to each box to complete the proof.
Answer:
1.)Angle Addition Postulate
2.)Alternate interior Angle Theorem
3.)m/_1+m/_2+m/_
Step-by-step explanation:
I took the test
How do I Evaluate f(5).
hi I'm looking for the answers for my work I already did this agistment but failed it and need help getting my grade up
Answer:
amswer
Step-by-step explanation:
The width of a rectangle is 1.8 meters. The perimeter is 6.6 meters. What is the length? Provide your answer below:
Answer:
perimeter =2(l+w)
6.6=2(l + 1.8)
6.6= 2L + 3.6
L=3/2 =1.5
ans =1.5
how do u write 2.25 in standard form?
9514 1404 393
Answer:
2.25
Step-by-step explanation:
The number 2.25 is already in standard form.
___
In the US (and other places), "standard form" is an ordinary decimal number, with the integer part to the left of the decimal point and the fractional part to the right of the decimal point: 2.25.
In the UK (and other places), "standard form" is a number written in scientific notation with a mantissa consisting of the leading non-zero digit to the left of the decimal point, the remaining significant digits to the right of the decimal point, and a multiplier that is 10 to the power appropriate to the place value of the leading digit. When the multiplier is 1, we need not write it.
2.25 = 2.25×10⁰ (full form) = 2.25 (with superfluous 10⁰ removed)
Plzzzzzzzzzzz helppppppp
Answer:
B
Step-by-step explanation:
B because it is the farthest away from 0.
1.6.PS-21 Question Help Challenge A gold mine has two elevators, one for equipment and another for the miners. The equipment elevator descends 5 feet per second. The elevator for the miners descends 17 feet per second. One day, the equipment elevator begins to descend. After 29 seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 16 seconds? At that time, which elevator is deeper? The position of the equipment elevator relative to the surface is feet
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Equipment elevator :
Descent rate = 5 ft/s
Miner's elevator :
Descent rate = 17 ft/s
Position of elevator after 16 seconds
Total descent time of equipment elevator = (29 + 16) = 45 seconds
Position after 45 Seconds :
Descent rate * time
5ft/s * 45s = 225 ft
Descent time of Miner's elevator = 16 seconds
Position after 16 Seconds :
Descent rate * time
17ft/s * 16s = 272 fts
Miner's elevator is deeper = 272 feets > 225 fts
Position of equipment elevator relative to the surface = - 225fts
Cindy’s square garden has a side length of x ft. She will plant 5 tulip bulbs per square foot. Write a function g to model the number of bulbs she will plant. Use your function to determine how many bulbs will she plant if the garden has a side length of 8 feet?
Answer:
The function that model the number of bulbs she will plant is g = 5x²
She will plant 320 bulbs in the garden
Step-by-step explanation:
∵ Cindy’s square garden has a side length of x ft
∵ Area of the square = side × side
∴ The area of the garden = x × x
∴ The area of the garden = x² ft²
∵ She will plant 5 tulip bulbs per square foot
→ That means there are 5 tulip bulbs in 1 foot²
∵ The area of the garden is x² ft²
→ Multiply the area of the garden by 5
∴ The number of tulip bulbs in the garden = 5 × x²
∴ The number of tulip bulbs in the garden = 5x²
∵ g represents the number of bulbs she will plant in her garden
∴ g = 5x²
∴ The function that model the number of bulbs she will plant is g = 5x²
∵ The garden has a side length of 8 feet
→ That means the value of x is 8 feet
∴ x = 8
→ Substitute the value of x in the function above
∴ g = 5(8)² = 5(64)
∴ g = 320
∴ She will plant 320 bulbs in the garden
Can someone help me with this?
Answer:
1. Lines c and d
alternate exterior angles
Step-by-step explanation:
Answer:
3rd one
Step-by-step explanation:
Kim's rectangle measures 4ft by 6ft. What are the dimensions of a rectangle that is similar to Kim's rectangle?
Answer: 24ft by 36
Step-by-step explanation:
It is asking which dimension of a rectangle is similar. 24 divided by 6 is 4 and if you do the same to 6 then 36 divided by 6 is also 6 which makes it similar
This is old and I’m catching up on assignments
Answer:
m<2 = 100
Step-by-step explanation:
136 <abc Given
136-197= 39 = <1
so 136 - 39 = 197=<2
Let x be a discrete random variable that possesses a binomial distribution with n=5 and p=0.87. What are the mean and standard deviation of this probability distribution? Round your answers to three decimal places, if required.
Answer:
[tex]Mean = 4.35[/tex]
[tex]SD = 0.5655[/tex]
Step-by-step explanation:
Given
[tex]n = 5[/tex]
[tex]p = 0.87[/tex]
Solving (a): Mean
[tex]Mean = np[/tex]
[tex]Mean = 5 * 0.87[/tex]
[tex]Mean = 4.35[/tex]
Solving (b): Standard Deviation (SD)
[tex]SD = np(1 - p)[/tex]
[tex]SD = 5 * 0.87(1 - 0.87)[/tex]
[tex]SD = 5 * 0.87 * 0.13[/tex]
[tex]SD = 0.5655[/tex]
Use trigonometric identities to transform the left side of the equation into the right side (0 < θ < π/2). Fill in the blank tan θ cot θ = 1 tan θ cot θ = sin θ/cos θ * blank/sin θ = 1
Answer:
Cosθ
Step-by-step explanation:
Given the trigonometry identity:
tan θ cot θ = 1, to transform this identity, we need to write in terms of sinθ and cosθ as shown;
In trig:
tanθ = sinθ/cosθ
cotθ = 1/tanθ
1/tanθ = 1/(sinθ/cosθ)
1/tanθ = cosθ/sinθ
Hence cotθ = cosθ/sinθ
Substitute the expression for tanθ and cotθ into the expression in question
tan θ cot θ = 1
sinθ/cosθ*cosθ/sinθ = 1
Comparing the gotten expression with
sin θ/cos θ * blank/sin θ = 1 we can dee that the blank is cosθ
Hence the correct answer is cosθ
The identity which should be filled into the blank is cos θ.
Trigonometric identities;From trigonometric identities; we know;
tan θ = sin θ/cos θ cot θ = cos θ/sin θ .Ultimately, sin θ/cos θ × cos θ/sin θ = 1.
Therefore, the missing identity is cos θ.
Read more on trigonometric identities;
https://brainly.com/question/7331447
Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.
Answer:
x is 28
Step-by-step explanation:
When two lines intersected in a point, then they formed two pairs of vertically opposite angles. The vertically opposite angles are equal in measures
Let us solve our question
∵ AB and CD are straight lines intersected at O
∴ ∠AOC and ∠DOB are vertically opposite angles
∴ ∠AOD and ∠COB are vertically opposite angles
→ The vertically opposite angles are equal in measures
∴ m∠AOC = m∠DOB
∴ m∠COB = m∠AOD
→ ∠ COB is formed from ∠COE, ∠EOF, and ∠FOB
∵ m∠COB = m∠COE + m∠EOF + m∠FOB
∵ m∠COE = 3x, m∠EOF = x, m∠FOB = x + 12
∴ m∠COB = 3x + x + x + 12
→ Add the like terms
∴ m∠COB = 5x + 12
∵ m∠AOD = 152°
∵ m∠COB = m∠AOD
∴ 5x + 12 = 152
→ Subtract 12 from both sides
∴ 5x + 12 - 12 = 152 - 12
∴ 5x = 140
→ Divide both sides by 5
∴ [tex]\frac{5x}{5}=\frac{140}{5}[/tex]
∴ x = 28
→ To justify the solution substitute x by 28 in m∠COB the answer must
be 152°
∵ m∠COB = 5x + 12
∵ x = 28
∴ m∠COB = 5(28) + 12
∴ m∠COB = 140 + 12
∴ m∠COB = 152°
∴ The value of x is correct
Please help!!!
thanks
Answer:
11. 92- corresponding angles theorem
12. 92- vertical angles theorem
13. 88- ???
14. 106- same side interior angles theorem
15. 106- supplementary angles theorem (not sure about the reasoning)
16. 106- supplementary angles theorem (not sure about the reasoning)
If one angle of a set of alternate interior angles on parallel lines measures 77°, then the other angle also equals 77° _____.
always
sometimes
never
Answer:
I think is sometimes
Step-by-step explanation:
Answer:
The answer is always
Heeeeeeeeeeeeeeelllllllllllllpppppppppp
Answer: She must wash at least 13 cars
Therefore, Grace must wash at least 13 cars in order to have $65 in spending money
Please select the word from the list that best fits the definition
energy obtained from heat within the earth
Answer:
geothermal
Step-by-step explanation:
energy obtained from heat within the earth-geothermal
The age of A is 4 years more than that of B. Four years ago, the ratio of their ages was 3: 2. Find their present ages.
Answer:
Present age of A = 16 years
Present age of B = 12 years
Step-by-step explanation:
Let the age of B be x years.
Therefore, age of A = (x + 4) years
Four years ago:
Age of A = (x + 4 - 4) = x years
Age of B = (x - 4) years
According to the given information:
[tex] \frac{x}{x - 4} = \frac{3}{2} \\ \\ 2x = 3(x - 4) \\ \\ 2x = 3x - 12 \\ \\ 2x - 3x = - 12 \\ \\ - x = - 12 \\ \\ x = 12 \\ \\ x + 4 = 12 + 4 = 16 \\ \\ present \: age \: of \: a = 16 \: yeras \\ \\ present \: age \: of \: b = 12 \: years \\ [/tex]
How many pounds are in 80 kilograms? Round your answer to the nearest whole number. Note: There are approximately 2.2lbs in a kg.
Answer:
176.37 orrrr 176
Step-by-step explanation:
Answer:
176 pounds
Step-by-step explanation:
What is the answer for number five
Answer:
Can you write it down i could help but i cant see the link
Step-by-step explanation:
Answer:
FULL SEND imma say A but I honestly have no idea lol
Step-by-step explanation:
2.) Determine the number of items Saydee produces
per hour, if she works 40 hours a week and produces
5,237 items.
Jefferson Elementary School is sending 8 of its students to a drumming contest in Orlando, Florida. The cost will be $588 per person. How much will it cost for the entire group of 8 students to attend?
Answer:
4704
Step-by-step explanation:
8*588=4704
A supply of foods last for a week for 20 families. how long would the supply last for 3 more families.?
Given that,
A supply of foods last for a week for 20 families.
It is required to find the time that would the supply last for 3 more families.
20 families = 1 week = 7 days
If 3 more families joined, total no of families are now 23.
It means that,
1 family= (20/7) days
Now,
23 family =
[tex]\dfrac{20}{7}\times 23=65.71\ \text{days}\\\\\approx 66\ \text{days}[/tex]
So, the supply will last for 66 days.
A bathtub can hold 30 gallons of water.
How many quarts of water can it hold?
Enter your answer as a number, like this: 42
Answer:
120 quarts
Step-by-step explanation:
1 gallon=4 quarts
30x4= 120
please help it's due in a couple of min
Answer:
i hope this helps but the slopes are y = 4/3x + 12 and y = 6/5
Evaluate your expression to find the number of scoops Zack needs. I WILL MAKE BRAINLIEST IF RIGHT!!!!!!!!!!!!
Answer:
2 1/2 beacuse he needs 1 1/4 for one feeder
Step-by-step explanation:
Researchers Wilt et al. (New England Journal of Medicine, 2012) investigated whether surgery, compared to just observation, was (more) effective in improving men’s survival chances after being diagnosed with prostate cancer. The researchers identified 731 men with localized prostate cancer who volunteered to participate. They randomly assigned 364 men to surgery and the remaining 367 to observation. All participants were followed for about 10 years. In those 10 years, 21 surgery recipients died of prostate cancer related reasons compared to 31 observation recipients.
1. Identify the observational units.
A. Men.
B. Men with prostate cancer.
C. Men with prostate cance.
D. Men with prostate cancer who received observation r who underwent surgery.
2. What type of study is this?
A. Experiment.
B. Observational study.
3. What is the primary purpose of random assignment in this type of study?
A. To ensure that subjects are representative of the popu lation of interest.
B. To ensure that the groups are of equal sizes.
C. To create treatment groups that are alike in all aspects zes except for the treatment administered.
D. To improve accuracy of results.
4. Identify the explanatory variable.
A. Whether or not man dies of prostate cancer related reasons.
B. Whether or not man undergoes surgery.
C. Percentage of men who die of prostate cancer related reasons.
D. The number o f men who undergo surgery and the number of men who are just observed.
5. Identify the response variable.
Answer:
(1) B
(2) A
(3) C
(4) B
Step-by-step explanation:
(1)
The observational units in this study are the men with prostate cancer.
(2)
As the study involves a treatment and a control group, it is an experimental study.
(3)
The primary purpose of random assignment in this type of study is to create treatment groups that are alike in all aspects except for the treatment administered.
(4)
The explanatory variable or the independent variable, is the variable that is altered to observe the changes in the dependent variable.
The explanatory variable in this case is whether or not man undergoes surgery.
(5)
The response variable or the dependent variable is the variable that is being observed for any changes for the given treatments.
The response variable in this case is whether or not man dies of prostate cancer related reasons.
In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]P(X < 4) = 0.4141 [/tex]
b
[tex]P(4 < X < 6) = 0.32876[/tex]
c
[tex]P(X >8) = 0.064037 [/tex]
d
The correct option is B
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 4.5[/tex]
The standard deviation is [tex]\sigma = 2.3[/tex]
Generally the probability that a randomly selected study participant's response was less than 4 is mathematically represented as
[tex]P(X < 4) = P(\frac{X - \mu }{\sigma} < \frac{4 - 4.5}{ 2.3} )[/tex]
[tex]\frac{X -\mu}{\sigma} = Z (The \ standardized \ value \ of\ X )[/tex]
So
[tex]P(X < 4) = P(Z < -0.217 )[/tex]
From the z-table [tex]P(Z < -0.217 ) = 0.4141[/tex]
So
[tex]P(X < 4) = 0.4141 [/tex]
Generally the probability that a randomly selected study participant's response was between 4 and 6 is mathematically represented as
[tex]P(4 < X < 6) = P( < \frac{4 - 4.5}{ 2.3} < \frac{X - \mu }{\sigma} < \frac{6 - 4.5}{2.3})[/tex]
=> [tex]P(4 < X < 6) = P( \frac{4 - 4.5}{ 2.3} < \frac{X - \mu }{\sigma} < \frac{6 - 4.5}{2.3})[/tex]
=> [tex]P(4 < X < 6) = P( -0.217 < Z< 0.6522[/tex]
=> [tex]P(4 < X < 6) = (Z< 0.6522) -P( Z < -0.217) [/tex]
From the z-table
[tex](Z< 0.6522) = 0.74286 [/tex]
So
[tex]P(4 < X < 6) = 0.74286 -0.4141[/tex]
=> [tex]P(4 < X < 6) = 0.74286 -0.4141[/tex]
=> [tex]P(4 < X < 6) = 0.32876[/tex]
Generally the probability that a randomly selected study participant's response was more than 8 is mathematically represented as
[tex]P(X > 8) = P(\frac{X - \mu }{\sigma} > \frac{8 - 4.5}{ 2.3} )[/tex]
[tex]P(X > 8) = P(Z > 1.52174 )[/tex]
From the z-table [tex]P(Z > 1.52174 ) = 0.064037[/tex]
So
[tex]P(X >8) = 0.064037 [/tex]