here is a rule for a sequence. After the first two terms, each term is half the sum of the previous two terms.
Answers
Answer:
Step-by-step explanation:
A)
(22+12)/2 = [17] (12+17)/2 = [14.5] (17+14.5)/2 = [15.75]
B)
(10.5*2) - 5 = [16] ......... NOT 13
1. The Complete Sequence is 2, 22, 12, 17, 14.5, 15.75.
2. The second term is 16.
What is Sequence?A grouping of numbers in a specific order is known as a sequence. On the other hand, a series is described as the accumulation of a sequence's constituent parts.
Given:
1. 2 22 12 _ _ _
So, the rule is ( sum of consecutive terms) /2
Then, the fourth term is
= (22+12)/2
= 17
and, fifth term is
=(12+17)/2
= 14.5
and, sixth term is
= (17+14.5)/2
= 15.75
So, the Complete Sequence is 2, 22, 12, 17, 14.5, 15.75
2. First term =5 and 3rd term = 10.5
Again, third term = ( 5 + x ) /2
21 = 5 + x
x = 16
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Related Questions
The number of bacteria on a piece of toast triples every
hour. If there is only one bacteria cell now, how many
will there be in 24 hours?
HELP PLZZZ WILL MARK BRAINLIEST!!!
Answers
Answer:
You begin with 1 bacteria, and after 1 hour it has tripled so you now have 1 x 3=3.
Next hour, it triples again so you now have 1 x 3 x 3=9
You can see the pattern shows that the number of bacteria is multiplying every hour by a factor of 3. An exponent denotes how many times we are multiplying a number by itself, for example: 34 means we are multiplying the number 3 a total of 4 times (3 x 3 x 3 x 3).
Therefore the question is requiring us to triple the number of bacteria every hour for 24 hours, which means we are multiplying by 3 a total of 24 times. This gives us:
n x 324 where n is the number of bacteria you begin with.
Since you begin with 1 bacteria, the solution is 1 x 3 to the power 24 and u will get ur answer
For every 5 campers who voted for hot dogs, there were 4 who voted for Spaghetti. If there were 72 campers in all, how many voted for hot dogs?
Answers
Answer:
Step-by-step explanation:
5+4 = 9
72/9 = 8
8×5 = 40 voted for hot dogs.
The number of campers who voted for hotdogs is 40 campers
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of campers who voted for hot dogs = 5 campers
Let the number of campers who voted for sphagetti = 4 campers
Now , the total campers = 5 + 4
= 9 campers
5 out of 9 campers vote for hot dogs
So ,
The total number of campers = 72 campers
The equation will be ,
The total number of campers who voted for hotdogs =
( number of campers who voted for hot dogs / the total campers ) x 72
The total number of campers who voted for hotdogs = ( 5 / 9 ) x 72
= 5 x 8
The total number of campers who voted for hotdogs = 40 campers
Hence , The number of campers who voted for hotdogs is 40 campers
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What is x?
33x+2=68
Give brainliest
Answers
Answer:
2
Step-by-step explanation:
subtract 68 by 2, then divide by 33
write the ratio 75g:3kg in its simplest form
Answers
Equation R: y = -2x + 10
Equation S: y = 3x - 20
What is the solution ( , )
Answers
Step-by-step explanation:
3x -20= -2x +10
or,5x=30
or,X=30/5
or,X=6
Y= -2×6 + 10
= -2
therefore solution is (6, -2)
What is 9,167.364 in expanded form?
Answers
Answer:
9,000+100+60+7+.3+.06+.004
Step-by-step explanation:
The radius of a circle is 20 cm. Find its circumference in terms of Pi
Answers
Based on the calculations, the circumference of this circle in terms of Pi is equal to [tex]40\pi\;cm[/tex].
How to calculate the circumference of a circle.Mathematically, the circumference of a circle is given by the formula:
[tex]Circumference = 2\pi r[/tex]
Where:
r is the radius of a circle.Given the following data:
Radius of a circle = 75 in.
[tex]\pi = 3.14[/tex]
Substituting the given parameters into the formula, we have;
[tex]Circumference = 2\pi \times 20\\\\Circumference = 40\pi\;cm[/tex]
Read more on circumference here: brainly.com/question/14478195
Sean runs 2/3 of a mile in 10 minutes. at this rate, how many miles can Sean run in 30 minutes? Explain how you found this answer. Please I need it quick!
Answers
Answer:
2 miles.
Step-by-step explanation:
In this case, we would multiply the numerator by 3 since we know that it takes him 10 minutes to run 2/3 of a mile. So, 2x3 = 6. Which gives us 6/3. Simplified that would be 2 miles. Hope this helps!
PLSS HELP DUE TMR PLSS 25 POINTS I BEGG
Answers
Answer:
7tifi6diyd8ydiy
Step-by-step explanation:
ust75dutsjtsutxxhtshfxhrsfhzyrahrsursusutsutsuttus5usutsutxtu
the graph of which function will contain the point(2,10)
Answers
Answer:
point (2 , 10)
Y= 5X
10 = 5(2)
10= 10
Help please ASAP....
Answers
A boat leaves the entrance to a harbor and travels 150 miles on a bearing of N 59° E. How many miles north and how many miles east from the
harbor has the boat traveled?
Answers
Distance N = 150 sin (31°) = 77.25
Distance E = 150 cos(31°) = 128.58
cos53=x/150
x=90.3 miles north
y=miles East
sin53=y/150
y=119.8 miles East
߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷
Answers
Answer lit
Step-by-step explanation:
Helps pls...... help help help
Answers
Answer:
IQR = 10
Step-by-step explanation:
1. Find the median (middle data point.)
2. Find the median of the upper quartile (70 - 80.)
3. Find the median of the lower quartile. (60 - 70.)
4. Subtract the lower quartile from upper quartile.
1. median of the data = 70
2. median of Q2 = 75
3. median of the Q3 = 65
4. 75 - 65 = 10
IQR = 10
SUMA
RESTA
657 + 234
895 - 653 =
Answers
Answer:
891
242
Step-by-step explanation:
If y=x2? - 5, find f(-4).
A-9
B-21
O
C 11
D -13
Answers
y = x²-5
f(x) = x² - 5
f(-4) = (-4)² - 5
f(-4) = 16 - 5
f(-4) = 11
Answer : C.11give me brainliest pls hehe
Use the sequence {0.3, 0.03, 0.003, 0.003, ... } to answer the question.
What is the explicit rule that describes the sequence?
1 an = 0.3(0.01)(n-1)
2 an = 0.3(0.001)(n-1)
3 an = 0.3(10)(n-1)
4 an = 0.3(0.1)(n-1)
Answers
Answer:
2 an ? Im pretty sure hope it helped
Answer:
an = 0.3(0.1)^(n - 1)
Step-by-step explanation:
so it's number 4 ;)
The ingredients for your skillet brownie cost $2. Your want your food cost for
this item to be 30% or lower. What's the lowest price you can charge? Round
to the nearest cent.
Answers
Check:
$6.67 * 0.3 = $2 :)
Please answer all
1.Let y be a random variable that has the standard normal distribution. If P(y
Select one:
a. 0.8416
b. 0.5244
c. 0.1584
d. -0.5244
2.Let y be a random variable that has the standard normal distribution. If P(-a
Select one:
a. 0.3255
b. -0.3255
c. 0.6745
d. 0.000
3.Scores on a Math test are normally distributed with a mean of 35.6 and a standard deviation of 8.7. If 15 students are randomly selected, find the probability that the mean of their test scores is at most 40.
Select one:
a. 0.4749
b. 0.5250
c. 0.0251
d. 0.9749
4. Scores on a Math test are normally distributed with a mean of 35.6 and a standard deviation of 8.7. What is the probability that a randomly selected student get at most 40 in the test?
Select one:
a. 0.6935
b. 0.3065
c. 0.6730.
d. 0.3270
5. Scores on a Math test are normally distributed with a mean of 35.6 and a standard deviation of 8.7. What is the probability that a randomly selected student get a score from 36 to 40 in the test?
Select one:
a. 0.1981
b. 0.1751
c. 0.1684
d. 0.8249
6.For a given x score, its standardized score z = (x - μ)/σ is
Select one:
a. the probability between that score and the mean
b. negative for values below the mean
c. the number of means that score is from the standard deviation
d. not changed by the addition of one more score to the data set
7.Scores on a Math test are normally distributed with a mean of 35.6 and a standard deviation of 8.7. What is the probability that a randomly selected student get at least 37 in the test?
Select one:
a. 0.4588
b. 0.5412
c. 0.4361
d. 0.5639
8.For the standard normal distribution,
Select one:
a. P(0< z <2) = 2 P(0< z <1)
b. P(0< z < 1) = 0.3413
c. P(z = 1.00) = 0.3413
d. P(-1 < z < 0) = -P( 0< z <1)
9.Let y be a random variable that has the standard normal distribution. The value of P(-1.5 < y < 0) is
Select one:
a. 0.5668
b. 0.4332
c. 0.9332
d. -0.4332
10.Let y be a random variable that has the standard normal distribution. The value of P(y<-1.5) is
Select one:
a. 0.0668
b. 0.4332
c. -0.0668
d. 0.9332
Answers
Answer:
there was many questions an this much questions we don't have time
The line passes through (6,6) and (-2,2)
Answers
Step-by-step explanation:
y-y1=m(x-x1)
m=y2-y1/x2-x1
Need help ASAP
questions in the pics i have sent
Answers
Answer:
Step-by-step explanation:
Picture 1
In right triangle ABC,
Side AB is the opposite side of angle C.
Picture 2
In triangle MKL,
tan(∠M) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{KL}{KM}[/tex]
= [tex]\frac{15}{8}[/tex]
Option (1) is the answer.
Picture 3
In ΔXYZ,
sin(∠Z) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{XY}{XZ}[/tex]
For the length of XY we will apply Pythagoras theorem in ΔXYZ,
XZ² = XY² + YZ²
XY² = XZ² - YZ²
= (40)² - (32)²
XY = √576
= 24
sin(Z) = [tex]\frac{24}{40}[/tex]
sin(Z) = [tex]\frac{3}{5}[/tex]
Picture 4
In right triangle DEF,
Cos(D) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{EF}{DF}[/tex]
= [tex]\frac{75}{72}[/tex]
= [tex]\frac{25}{24}[/tex]
Picture 5
In ΔABC,
tan(63°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(63°) = [tex]\frac{BC}{AB}[/tex]
AB = [tex]\frac{BC}{\text{tan}(63)}[/tex]
AB = [tex]\frac{8}{\text{tan}(63)}[/tex]
AB = 4.0762 ≈ 4 m
Option (3) will be the answer.
please help me i have no clue what to put!!!
Answers
Answer:
c
Step-by-step explanation:
Its C the answer is c
Can someone solve this step by step?
Answers
Answer:
2 9/14
Step-by-step explanation:
first we must make 1/6 and 3/7 have common demoniaters! (or however u spell it)
1/6 x 7/7 = 7/42
3/7 x 6/6 = 18/42
7/42 + 18/42 = 25/42
2/7 x 6/6 = 12/42
25/42 + 12/42 = 37/42
37/42 + 7/42 = 44/42
44/42 + 18/42 = 62/42
62/42 + 12/42 = 74/42
5/7 x 6/6 = 30/42
74/42 + 30/42 = 104/42
104/42+7/42 = 111/42
111/42 = 2 9/14
HELP ASAP PLS! The ratio of bows to headbands of Monique’s hair accessories is 8:4. Select all true statements.
A. For every 8 hair accessories, 4 are bows.
B. For every 8 bows, there are 4 headbands.
C. For every 8 headbands, there are 4 bows.
D. For every 8 hair accessories, 4 are headbands.
E. For every 12 hair accessories, 4 are headbands.
Answers
What is 600 minus 258?
Answers
Answer:
342
Step-by-step explanation:
Answer:
342
Step-by-step explanation:
600 - 258 = 342
Note:
Please mark as Brainliest! <3
if the diameter of a circle is 65 what is the area
Answers
Answer:
(4225/4)pi units^2
Step-by-step explanation:
So we need to know the area of a circle formula to find the answer to this question
the formula is A = r^2(pi)
So we have the diameter but we need the radius. The radius is half the diameter so r = 65/2
Now we can plug the radius into the area formula
(65/2)^2*pi =
(4225/4)pi units^2
Answer:
3318.31
Step-by-step explanation:
Linda Rove is paid $6.39 for each table she assembles. Last week she assembled the following number of tables. What was Rove’s pay for the week?
Answers
Answer:
6.39 x # of tables assembled
Step-by-step explanation:
Well you didn't tell us the number of tables she assembled that week, but the equation would be 6.39 x the # of tables she assembled.
plz help?
Find the value of x in this proportion.
621=10x
Answers
Answer:
x = 62.1
Step-by-step explanation:
Note the equal sign in this equation, what you do to one side, you do to the other. Isolate the variable, x, by dividing 10 from both sides of the equation:
[tex]621 = 10x\\\\\frac{621}{10} = \frac{10x}{10} \\\\x = \frac{621}{10} \\x = 62.1[/tex]
Answer:
x = 62.1
Step-by-step explanation:
What is the value of this expression?
1/6 ÷ 12
Answers
Answer:
0.01388888888
Step-by-step explanation:
Answer:
[tex] \frac{1}{72} [/tex]
Step-by-step explanation:
[tex] \frac{1}{6} \div 12[/tex]
[tex] = \frac{1}{6} \times \frac{1}{12} [/tex]
[tex] = \frac{1}{72} [/tex]
Hence required answer is 1/72
Also in decimal conversion it will be 0.0138888889
3m² – 17m + 10 factoring polynomials
Answers
(3m-2) x (m-5)