Answer:
8n + 1, where n is a whole number greater than or equal to 0.
Step-by-step explanation:
Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.
The sequence is an arithmetic sequence.
The pattern is 1 + (n - 1)8.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8 is an arithmetic sequence.
We have,
1, 9, 17, 25, 33,....
This is an arithmetic sequence.
The first term is 1.
a = 1
The common difference is 8.
d = 8
i.e
9 - 1 = 8
17 - 9 = 8
25 - 17 = 8
The nth term of an arithmetic sequence.
= a + (n -1)d
= 1 + (n - 1)8
Thus,
The pattern of the sequence is 1 + (n - 1)8.
Where n is the term of the number.
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A survey was done to investigate the relationship between liking math and learning a musical
instrument. The results are shown in the Venn diagram below. If a person was selected at
random from this survey, which of the following would be the probability of liking math given
that they don't take music?
A) 0.22
Likes Math
Takes Music
B)
0.28
C)
0.33
22
80
45
D)
0.37
38
The probability of liking math given that they don't take music is 0.37 option (D) 0.37 is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
The probability:
P(Math/Music') = P(Math∩Musci')/P(Music')
Total number of sample = 22+80+45+38 = 185
Probability of liking math:
P(Math) = (22+80)/185 =0.55
Probability:
P(Music) = (45+80)/185 = 0.68
P(Music') = 1-0.68 = 0.32
Probability of liking math and liking music:
P(Math∩Music) = 80/185 = 0.43
Now, P(Maths/Music) = (0.55 - 0.43)/0.32 = 0.375 ≈ 0.37
Thus, the probability of liking math given that they don't take music is 0.37 option (D) 0.37 is correct.
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what is s10 for 1 + 2 + 4 + 8+...
256
511
1023
2047
Answer:
1023
Step-by-step explanation:
[tex] S_n = \dfrac{a(1 - r^n)}{1 - r} [/tex]
a = first term
r = common ratio
n = number of terms
Here we have
a = 1
r = 2
n = 10
[tex] S_{10} = \dfrac{1(1 - 2^{10})}{1 - 2} [/tex]
[tex] S_{10} = \dfrac{1 - 1024}{-1} [/tex]
[tex] S_{10} = \dfrac{-1023}{-1} [/tex]
[tex] S_{10} = 1023 [/tex]
Of course, since 10 is not such a large number of terms, you can simply do this:
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 = 1023
HELP PLEASE!!
There are 12 students in a class: 7 boys and 5 girls. If the teacher picks a group of 5 at random, what is the probability that everyone in the group is a boy?
Answer:
0.027Step-by-step explanation:
The number of groups of 5 boys that we can have from 7 boys is 7C5 = 21
The number of groups of 5 boys that we can have from 12 students is
12C5 = 792
then the probability = 21/792 = 0.026515151515
by the way you can calculate 12C5 and 7C5 using a calculator.
You can buy 3 apples at the Quick Market for $1.35. You can buy 5 of the same apples at Stop and Save for
$1.00. Which place is the better buy?
Stop and Save is the better buy because its $1.00 for 5 apples so its 20 cents per apple
and
Quick Market is $1.35 for 3 apples so its 45 cents per apple
[tex]1.00 \div 5 = 0.20[/tex]
Stop and Save Better Buy
[tex]1.35 \div 3 = 0.45[/tex]
Quick Market
An owner of a restraint wants to conduct a survey about possible menu changes. Give an example of a sampling method that would produce a valid sample.
Do you mean restaraunt?
Every 10th customer Every 15th customerSomething like that. I hope this helps.
Which choice is correct..Thanks
Answer:
Construct two [intersecting, perpendicular] diameters and connect the four endpoints
Please help! 30 points!
What is the determinant of
0-24
0 -3
O 3
O 45
Answer:
-3
Step-by-step explanation:
keep the sign of the number with a higher absolute value and subtract the smaller absolute value from the larger
Divide 3/5 by its reciprocal
Answer:
9/25
Step-by-step explanation:
3/5/5/3
3/5*3/5=9/25
Answer:
=9/25
Step-by-step explanation:
The reciprocal of 3/5 is 5/3, and when you divide it you multiply 3/5 * 3/5. Then you multiply the two and the answer you get is 9/25
Olga decided to purchase a $22,000 MSRP vehicle at a 4.5% interest rate for 4
years. The dealership offered her a $2500 cash-back incentive, which she
accepted. Taking all these factors into consideration, what monthly payment
amount can she expect?
Answer:
479.375
Step-by-step explanation:
Answer:
$444.67
Step-by-step explanation:
A P E X
Determine whether each statement is true or false.
(FINALEXAM)
Answer:
1. False
2. True
Step-by-step explanation:
Find the volume of the planets
Answer:
can you show the planets. or do you want real planets volumes?
Which of the following is equivalent to the complex number i8?
Choose 1 answer:
mi
1
-1
pl
Stuck? Watch a video or use a hint.
Report a problem
Answer:
1
Step-by-step explanation:
note that i² = - 1
Thus
[tex]i^{8}[/tex]
= i² × i² × i² × i²
= - 1 × - 1 × - 1 × - 1
= 1 × 1
= 1
The value of complex number is 1. Therefore, the option B is the correct answer.
What is the complex number?A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.
The given complex number is i⁸.
We know that, i²=-1
Now, i⁸ can be written as i²×i²×i²×i²
= -1×(-1)×(-1)×(-1)
= 1
Therefore, the option B is the correct answer.
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math question screen shot below
Answer:
B I believe
Step-by-step explanation:
have a good day
It's E
Its a scatter plot nothing is coordinated or anything.
PLEEEEEEEAAAAAAAAAAAAAASSSSSSSSSSSSSSSSSSEEEEEEEEEEEEEEEEEE I REALLY NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A cosmetics company conducted a survey to anticipate potential sales of various new products from its upcoming catalog. The survey was conducted by randomly selecting women from two different age groups with 400 women in each group. The women selected the product that they would most likely purchase when it became available. The results obtained are given in the table shown below.
Products Ages 21 - 30 Ages 31 - 40
Product 1 163 152
Product 2 84 89
Product 3 104 109
Product 4 49 50
Which of the following statements about the data above is true?
A.
The estimates for both age groups show an equal number of women would have voted for Product 3.
B.
The estimated number of women who would have voted for Product 3 is higher for Ages 21 - 30 than Ages 31 - 40.
C.
The estimated number of women who would have voted for Product 1 is higher for Ages 31 - 40 than Ages 21 - 30.
D.
The estimated number of women who would have voted for Product 3 is higher for Ages 31 - 40 than Ages 21 - 30.
I’m not sure how I would use the theorem
I need help with this please ASAP!!!!
Answer: I hope this helps, I also used to have trouble with pythagorean therom
All of them are a right triangle because they have that little square in the corner, and no matter what, if it has that it is a right triangle.
Step-by-step explanation:
I'm guessing that the therom you need help with is pythagorean therom
a^2+b^2=c^2
Step 1: Draw a right triangle and then read through the problems again to determine the length of the legs and the hypotenuse. Step 2: Use the Pythagorean Theorem (a2 + b2 = c2) to write an equation to be solved. Step 3: Simplify the equation by distributing and combining like terms as needed.
a = side of right triangle
b = side of right triangle
c = hypotenuse -(longest side of the triangle)
?????HELPPPP PLEASE
Answer: choices 1 and 4
Step-by-step explanation:
A central angle is the angle that forms when two radii meet at the center of a circle. So the answers are the ones with point D in the middle.
what is 12,447 in Scientific notation
Answer: [tex]1.2447 * 10^4[/tex]
Step-by-step explanation:
1.2447 × [tex]10^4[/tex]
( scientific notation )
Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point.
Answer:
1.2447 x 10^4
Step-by-step explanation:
The answer would be 1.2447 times 10 to the fourth power because to find the first part (1.2447), move the decimal place one place to the right. (.12447-> 1.2447)
Next, count how many places are to the right of the decimal.
1.2447 = 4
So, that would get you 1.2447 times 10 to the power of 4.
19) Solve the inequality. 7x − 9 > 2x + 6 A) x > 3 B) x > 3 5 C) x > −3 D) x > − 3 5
Answer:
B
Step-by-step explanation:
Given
7x - 9 > 2x + 6 ( subtract 2x from both sides )
5x - 9 > 6 ( add 9 to both sides )
5x > 15 ( divide both sides by 3 )
x > 3 → B
Answer:
B
Step-by-step explanation:
A 20-inch bicycle has tires with a diameter of 20 inches. What is the circumference of these tires?
31.4 inches
62.8 inches
314 inches
1256 inches
Answer:B
Step-by-step explanation:
c=2nr or c=nd
2*3.14 * 10= 62.8
3.14 * 20= 62.8
The circumference of the tires is 62.8 inches.
What is Circumference?Circumference of a circle is defined for non straight curves which is the length of the boundary of the curve.
Given that, a 20-inch bicycle has tires with a diameter of 20 inches.
Diameter of the tire = 20 inches.
Radius of a circle or a circular object is half of the diameter of it.
Radius of the tire = 20 / 2 = 10 inches
Circumference of a circular object = 2πr, r is the radius.
Circumference of the tire = 2π r
= 2 (3.14) (10)
= 62.8 inches
Hence the circumference of a bicycle tire is 62.8 inches.
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convert 7:2 to a rational number
You cant because it is an irrational number. The square root of 2 is itself irrational, and multiplying it by 7 simply scales it's value by a factor of 7. There is no way to represent it as a fraction with integers as the numerator and denominator
5x+4y= 10
–5x+y = 15
Answer:
what exactly are we trying to solve for
Make a line plot of the number of rabbits in each litter.
Answer:
Not enough information.
HURRRY The volume of a cylinder is given by the formula V=pir2h where r is the radius of the cylinder and h is the height. Which
expression represents the volume of this cylinder?
h = 2x + 7
r = x - 3
Answer:
(2x³-5x²-24x+63)π
Step-by-step explanation:
According to the formula, it would be (x-3)²(2x+7)π. Expanding (x-3)², you would get (x-3)(x-3) which equals x²-3x-3x+9 which equals x²-6x+9. Now you have (x²-6x+9)(2x+7). Expanding it would equal 2x³+7x²-12x²-42x+18x+63. Combining like terms would result in 2x³-5x²-24x+63. You have to multiply it all by pi so the answer is (2x³-5x²-24x+63)π.
2. Use the image below to answer the question.
D
E
F
Using the segment addition postulate, find the length of segment EF.
Answer:
26
Step-by-step explanation:
I subtracted DF and DE to find the missing difference for the segment EF. I'm not sure if this is correct though. I hope it helps.
The length of line segment EF is 26.
What is a line segment ?A line segment is a subset of a line which has two endpoints.
A ray has one end point and extends indefinitely on the other direction.
A line extends indefinitely on both of it's directions.
From the given data
Line segment DF has a length 38 and line segment DE has a length 12.
To find the length of line segment EF we have to subtract the length of line segment DE from length segment DF.
∴ EF = DF - DE
EF = 38 - 12'
EF = 26.
So, the line segment EF has a length of 26.
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Solve for a.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
60a +64 > 80a - 92
Show Calculator
Stuck? Watch a video or use a hint.
Repo
Answer:
a≤39/5
Step-by-step explanation:
A dilation with center O and scale factor r takes A to A' and B to B'. a) Explain how to find the center O b) If AB=6 mm and A'B'= 15mm, calculate the scale factor r. c) Apply the Dilation theorem
Answer:
A.) Extending the line of multiple of scale factor r on two corresponding vertex
B.) Scale factor r = 2.5
C.) A'B'/AB = 5/2
Step-by-step explanation:
A.) To find the centre O, take a corresponding vertex of the two shapes. Draw a line passing through the the vertex and extending beyond the initial one. The length of the line must be multiplied by the scale factor r
The center of a dilation is a fixed point in the plane in which all points are expanded or contracted.
B.) If AB=6 mm and A'B'= 15mm,
The scale factor r = 15/6 = 5/2 = 2.5
C.) A'B'/AB = 5/2
Complete the square y^2+3y+
Answer:
y^2+3y+9/4
Step-by-step explanation:
y^2+3y+
Take the coefficient of y
3
Divide by 2
3/2
Square it
(3/2)^2 = 9/4
Add it
y^2+3y+9/4
What value of a makes the equation true
Answer:
The correct answer is -2.
Step-by-step explanation:
it is -2 because if you replaced -2 with a you would have -2 minus 1.5 which is -0.5. -0.5 multiplied by 3 gets you -1.5.
Answer:
Step-by-step explanation:
3(a + 1.5) = -1.5
3a + 3*1.5 = -1.5
3a + 4.5 = -1.5
Subtract 4.5 from both sides
3a + 4.5 - 4.5 = -1.5 - 4.5
3a +0 = - 6.0
3a = - 6
Divide both sides by 3
3a/3 = -6/3
a = -2
HELP PLZZZ
I DONT UNDERSTAND THIS IK IK IM DUMB
Answer:
radius r = 8 ft
volume V = 2144.66058 ft³
surface area A = 804.247719 ft²
circumference C = 50.2654825 ft
Step-by-step explanation:
Answer:
2 144.7 ft³
Step-by-step explanation:
So the diameter of this sphere is 16ft.
The equation of the volume of a sphere is [tex]\frac{4}{3}[/tex]πr³.
r is the radius which is half of the diameter. So half of 16 is 8.
Now all you have to do is the equation 4 x π x (8)³ divided by 3.
That should equal 2 144.7 ft³
Solve.
-6x^2 - 2 - 3x=-8
a)x=5+√57÷16
b)x=-4+√34÷3
c)x=-7+3√41÷16
d)x=1+√17÷-4
Answer:
So the d) is right.
Step-by-step explanation:
we have:
-6x^2 - 2 - 3x=-8
6x^2 + 3x - 6 =0
The delta = 3^2 -4*6*(-6) = 9 + 144 = 153= 9*17
These 2 solutions are:
[tex]x_{1} =\frac{-3+3\sqrt{17} }{2*6} = \frac{-3+3\sqrt{17} }{12} =\frac{-1+\sqrt{17} }{4} \\x_{2} =\frac{-3-3\sqrt{17} }{2*6} = \frac{-3-3\sqrt{17} }{12} =\frac{-1-\sqrt{17} }{4}[/tex]
So the d) is right.
