Given:
Arithmetic sequence -5, 13, 31, 49..........
We are to find the explicit formula of the sequence above. An explicit formula provides a binding formula for finding nth term.
To find the formula, we need to know the first term and the common difference.
The common difference is the difference between each successive terms of the sequence.
In the given sequence, the common difference is 18;
13-(-5) = 18
31 - 13 = 18
49 - 31 = 18
n calculation of the nth term
1 -5 -5 + 18(0) = -5
2 13 -5 + 18(1) = 13
3 31 -5 + 18(2) = 31
4 49 -5 + 18(3) = 49
Since the common difference is 18, we can now derive the formula;
b(n) = -5 + 18(n-1)
n is the position of the term
Any number in the sequence can be derived using the explicit formula
-5 + 18(n-1)
Joyce sees a credit card offer advertising 0% APR. Which of the following is least likely true?
Answer: 0% offer lasts indefinitely, as long as you always make at least your minimum monthly payment.
Step-by-step explanation: Since the person who gave you this answer was trying to be vain, I'll tell you the answer. Usually, 0% APR lasts for at most 18 months. It is impossible for it to last forever. So, in conclusion the answer that 0% lasts indefinitely is false and is least likely to be true.
Please make Brainliest!
Graph -2x+10+5y=0 using intercepts. Add two intercept points on the graph.
What is the median of the sample 5, 5, 11, 9, 8, 5, 8 ?
Answer:
8.
Step-by-step explanation:
The median of any set of numbers is the middle-most number of the set when ordered from least to greatest. Ordering this set from least to greatest, we get "5, 5, 5, 8, 8, 9, 11." There are 7 numbers here, so the middle-most number is the 4th number, or 8. In the case that you have an even amount of numbers to choose, you take the average of the two middle-most numbers to find your median.
The median of the sample is the middle value of the data set which is number 8.
What is medians of the data set?Median of the data set is the middle value of the data when data is arranged in the increasing order or decreasing order.
The data of the sample given in the problem is,
[tex]5, 5, 11, 9, 8, 5, 8[/tex]
Arrange this data in the increasing order.
[tex]5, 5, 5, 8, 8, 9, 11[/tex]
There is total 7 observation in the above data. The middle value will be the fourth number observation, which is 8.
Hence, the median of the sample is the middle value of the data set which is number 8.
Learn more about the median here;
https://brainly.com/question/26177250
A line passes through the points (–4,4) and (12,0). Which points lie on the same line? Select all that apply.
All the points (20, -2), (-2, 2), (4, 2), (8, 1), (-8, 5), and (16, -1) lie on the same line.
To determine which points lie on the same line passing through (-4, 4) and (12, 0), we can use the equation of a line.
First, we find the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1),
where (x1, y1) and (x2, y2) are the coordinates of the two given points.
m = (0 - 4) / (12 - (-4)) = -4 / 16 = -1/4.
Now that we have the slope, we can use the point-slope form of a linear equation:
y - y1 = m(x - x1),
where (x1, y1) is any point on the line.
Let's check which points satisfy this equation:
(20, -2):
-2 - 4 = (-1/4)(20 - (-4)),
-6 = (-1/4)(24),
-6 = -6.
The equation is true, so (20, -2) lies on the same line.
(-2, 2):
2 - 4 = (-1/4)(-2 - (-4)),
-2 = (-1/4)(2),
-2 = -2.
The equation is true, so (-2, 2) lies on the same line.
(4, 2):
2 - 4 = (-1/4)(4 - (-4)),
-2 = (-1/4)(8),
-2 = -2.
The equation is true, so (4, 2) lies on the same line.
(8, 1):
1 - 4 = (-1/4)(8 - (-4)),
-3 = (-1/4)(12),
-3 = -3.
The equation is true, so (8, 1) lies on the same line.
(-8, 5):
5 - 4 = (-1/4)(-8 - (-4)),
1 = (-1/4)(-4),
1 = 1.
The equation is true, so (-8, 5) lies on the same line.
(16, -1):
-1 - 4 = (-1/4)(16 - (-4)),
-5 = (-1/4)(20),
-5 = -5.
The equation is true, so (16, -1) lies on the same line.
In summary, all of the given points: (20, -2), (-2, 2), (4, 2), (8, 1), (-8, 5), and (16, -1) lie on the same line passing through the points (-4, 4) and (12, 0).
For more question on points visit:
https://brainly.com/question/23848540
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Note the complete question is
A line passes through the points (-4, 4) and (12, 0) . Which points lie on the same line? Select all that apply: (20_ -2) (-2, 2) (4, 2) (8, 1) (-8, 5) (16, -1)
Translate into a variable expression.
the total of 33 times the cube of w and the square of w
Answer:
33× w^3 × w^2 or
33w^5
Step-by-step explanation:
Let the unknown variable be w
[tex]33\times w^3\times w^2[/tex]
Simplify
[tex]=33w^5[/tex]
Answer:
33w^3 w^2
Step-by-step explanation:
The ^3 is supposed to cube the first w
and ^2 is supposed to square the second w
Help please Solve у/5 = 7
Answer:
y=5*7
y=35
Step-by-step explanation:
Answer:
hii there !
35 is ur ans
Step-by-step explanation:
y/5=7
y=7×5
y=35
How many seasons old is Darla if she is 24 years old?
Answer:
She is 96 seasons old
Step-by-step explanation:
You multiply 4 with 24 because its 4 seasons in one yea
Kelsey went bowling. It cost her a one-time fee of $3.50 to rent shoes, and $6.50 per game she
played. She does not want to spend more than $23.00. Write an inequality that could be used to
determine how many games she can afford to play. Use "g" for the number of games. NO
SPACES. *
(1 Point)
Answer:
[tex]3.50 + 6.5g \leq 23.00[/tex]
Step-by-step explanation:
Given
[tex]Base\ Fee = \$3.50[/tex]
[tex]Additional = \$6.50[/tex] per game
[tex]Maximum = \$23.00[/tex]
Required
Represent as an inequality
Let the number of games be g
Payment for g games would be
[tex]Payment = Base\ Fee + Additional * g[/tex]
[tex]Payment = 3.50 + 6.5 * g[/tex]
[tex]Payment = 3.50 + 6.5g[/tex]
Since, her maximum payment is 23.00;
The inequality would be [tex]3.50 + 6.5g \leq 23.00[/tex]
You want to order carpet for an area in your house. The room measures 12 feet by 10 feet. Remember, Area = Length × Width.
If each square yard of carpet costs $30.25, how much will the carpet cost you? Use your answer from the previous question to answer this question.
a.
$1,210
b.
$393.25
c.
$11,979
d.
$32,670
Answer:
403.33
Step-by-step explanation:
The price is in square yd not feet so change ft to yds
3 ft = 1 yd
12 ft = 12/3 = 4 yds
10 ft = 10/3 yds
A = l * w = 4 * 10/3 = 40/3 yd^2 = 13 1/3 yd ^2
Now multiply by the price per yd^2
13 1/3 yd^2 * 30.25 = 403.333333
Rounding to the nearest cent
403.33
charile buys an pack of 8 thank you cards for 1.20
Answer:9.6$
Step-by-step explanation:
you do 8 x 1.20 wich is 9.6$
Suppose θ is an angle in the first quadrant and cos(θ) = 1/2. What is the value of sin(θ)?
A. 1/2
B. √3/2
C. 3/5
D. -√3/3
Answer:
B. [tex] \frac{\sqrt3}{2}[/tex]
Step-by-step explanation:
Since θ is in the first quadrant, both sin(θ) and cos(θ) are positive.
Using the Pythagorean identity,[tex]sin^2(θ) + cos^2(θ) = 1 [/tex]
we can solve for sin(θ) as follows:
[tex]sin^2(θ) + (\frac{1}{2})^2 = 1[/tex]
[tex]sin^2(θ) +\frac{1}{4}=1[/tex]
[tex]sin^2(θ) =1-\frac{1}{4}[/tex]
[tex]sin^2(θ) =\frac{3}{4}[/tex]
[tex]sin(θ) = \sqrt{\frac{3}{4}} = \frac{\sqrt3}{2}[/tex]
Therefore, the value of sin(θ) is[tex] \frac{\sqrt3}{2}[/tex]
Answer:
B
Step-by-step explanation:
given
cosΘ = [tex]\frac{1}{2}[/tex] = [tex]\frac{adjacent}{hypotenuse}[/tex]
this is a right triangle with hypotenuse = 2 and a leg = 1
using Pythagoras' identity to find the third side o , the opposite side, then
o² + 1² = 2²
o² + 1 = 4 ( subtract 1 from both sides )
o² = 3 ( take square root of both sides )
0 = [tex]\sqrt{3}[/tex]
Then
sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex]
Gravity makes a nebula more stable in a newly formed star
True
False
Answer:
Step-by-step explanation:
true
Answer:
False
Step-by-step explanation:
Use the Commutative Property of Addition to rewrite the given expression.
8 + 7 =
Answer:
8+7=7+8
Step-by-step explanation:
The commutative property of addition states that... if there are two numbers a and b..
Then,
a+b=b+a...
Simplify 3x-2y=6 for graphing
3. In determining food spending, it was found that the average meal in Albany is normally distributed, with a mean of $40 and a standard deviation of $4. Find the following: P(X < 40), P(38 < X < 42), P(X > 35), P(X > 51). Find a meal cost which happen to be cheaper than 10% of the meals based on a given data. Find a meal cost which happen to be in the 5% of the most expensive based on a given data. Find a meal costs which happen to be 40% symmetrically around the mean value based on a given data.
Answer:
a) P(X < 40) = 0.5
b) P(38 < X < 42) = 0.69143
c) P(X > 35) = 0.89435
d) P(X > 51) = 0.0029798
e) Find a meal cost which happen to be cheaper than 10% of the meals based on a given data. = $34.872
f) Find a meal cost which happen to be in the 5% of the most expensive based on a given data = $33.42
g) Find a meal costs which happen to be 40% symmetrically around the mean value based on a given data. = $38.988
Step-by-step explanation:
Z score formula = Z score = x - μ/σ
Mean = $40
Standard deviation = $4
a) P(X < 40)
Z score = x - μ/σ
= 40 - 40/4
= 0
Determining the Probability value from Z-Table:
P(X < 40) = 0.5
b) P(38 < X < 42)
For X = 38
Z score = x - μ/σ
= 38 - 40/4
= -0.5
Determining the Probability value from Z-Table:
P(X = 38) = 0.30854
For X = 42
Z score = x - μ/σ
= 42 - 40/4
= 4
Determining the Probability value from Z-Table:
P(x = 42) = 0.99997
Hence, P(38 < X < 42)
P(X = 42) - P(X = 38)
0.99997 - 0.30854
= 0.69143
c) P(X > 35)
Z score = x - μ/σ
= 35 - 40/4
= -1.25
Determining the Probability value from Z-Table:
P( X < 35) = 0.10565
P( X > 35) = 1 - P(X < 35)
1 - 0.10565
= 0.89435
d) P(X > 51)
Z score = x - μ/σ
= 51 - 40/4
= 2.75
Determining the Probability value from Z-Table:
P( X < 51) = 0.99702
P(X > 51) = 1 - P(X < 51)
= 1 - 0.99702
= 0.0029798
e) Find a meal cost which happen to be cheaper than 10% of the meals based on a given data.
z score for 10th percentile = -1.282
Z score formula = Z score = x - μ/σ
Mean = $40
-1.282 = x - 40/4
-1.282 × 4 = x - 40
-5.128 + 40 = x
$34.872
The meal cost which happen to be cheaper than 10% of the meals based on a given data is $34.872
f) Find a meal cost which happen to be in the 5% of the most expensive based on a given data
Z score for 5th percentile = -1.645
Z score formula = Z score = x - μ/σ
Mean = $40
-1.645 = x - 40/4
-1.645 × 4 = x - 40
-6.58 + 40 = x
$33.42
The meal cost which happen to be in the 5% of the most expensive based on a given data is $33.42
g) Find a meal costs which happen to be 40% symmetrically around the mean value based on a given data.
Z score for 40th percentile = -0.253
Z score formula = Z score = x - μ/σ
Mean = $40
-0.253 = x - 40/4
-0.253 × 4 = x - 40
-1.012 + 40 = x
$38.988
What is the slope of a line PERPENDICULAR to the line graphed below?
Answer:
B
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
We have two points so we can find the slope of the line
(-3,4) and ( -2,-2)
The slope is
m = ( y2-y1)/(x2-x1)
= ( -2 -4)/(-2 - -3)
= ( -2 -4)/(-2 +3)
= -6/1
-6
A line that is perpendicular is the negative reciprocal
- ( 1/ ( -6))
1/6
When taking an exam, some students quickly answer all the questions they know how to do. If they go back and revise their answers, they start second guessing themselves and end up changing their choice from the correct answer to an incorrect one. Other students work through the exam very slowly - they think things very thoroughly, revise their answers several times, and carefully make sure they have not missed anything. In a class where we have both these types of students together, the correlation between the amount of time spent on an exam and their grade should be: _____________
a. Positive and fairly strong
b. Negative and fairly strong
c. Fairly weak
Answer:
c. Fairly weak
Step-by-step explanation:
From the given question:
We can deduce that the correlation between those two criteria is fairly weak. This is because the first set of students who initially answered the question started second-guessing themselves, making them unsure about their decision when picking the right answers. They eventually ended up choosing the wrong answers when changing it.
Negative and fairly strong correlation exist between the amount of time spent on an exam and their grade.
What is negative correlation?Negative correlation occurs between two variables in which as one variable increases the other decreases.
The first group finished very fast but recheck and picked wrong answer, although they were fast but they eventually had a wrong answer this is a negative correlation.The second group worked slowly and ended up getting good mark this is a Fairly strong correction because there is a result for the time used.Therefore, negative and fairly strong exist between time of exam and their grade.
For more information on negative and fairly strong correlation kindly check https://brainly.com/question/16913516
Identify the slope of the line using the 2 points
(8,-2), (7, -12)
0-10
10
-TO
1
10
10
Answer:
[tex] \frac{1}{10} [/tex]
In the summer, Tetro cycles 39 miles every 3 days. How many miles does he cycle every 8 days?
Answer:
It would be 91, right?
Step-by-step explanation:
If you multiply 39×2, you get 78. Then you would divide 39 by three which would give you the answer of 13. You would then add those together to get 91.
this is what i need help with
Answer:
B) 60
Step-by-step explanation:
They both equal each other,
5x+15=7x-3
And solve!
15+3=7x-5x
18=2x
X=9
Plug X into the angels.
5(9)+15
45+15
60
ind all excluded values for the expression.
That is, find all values of v for which the expression is undefined.
3/8+4v
If there is more than one value, separate them with commas.
Answer:
2 answers
4x(4x−1)3−x. It looks like there are no common factors here, so we can't simplify it ... These are any values of x that make the denominator 0 (we can't have that, because that ... x=3. So the excluded value for this expression is x=3 ... factorise numerator by taking out a common factor of 4x ... the rational function undefined.
Step-by-step explanation:
What is 3-3×6+2 please?
Answer:
-13Step-by-step explanation:
What is 3-3×6+2 please?
remember PEMDAS
3 - 3 × 6 + 2 = (solve multiplication)
3 - 18 + 2 = (solve addition)
3 - 16 = (solve subtraction)
-13 (result)
Please will give brainliest and thanks
Answer:
-14/15 - 1/3v
Step-by-step explanation:
[tex] - \frac{6}{5} - \frac{2}{3}v + \frac{4}{15} + \frac{1}{3}v \\ \ \\ - \frac{6}{5} + \frac{4}{15} = - \frac{14}{15} \\ \\ \\ - \frac{2}{3} v + \frac{1}{3}v = - \frac{1}{3} [/tex]
need help in the other one i just subtracted it but this one is different
Answer:
angle 1 + angle 2
=87+56
Add 87+56 and that's your answer.
The residents of a city voted on whether to raise property taxes. The ratio of yes to no votes was 4 to 7. If there were 3496 yes votes, whats was the total number of votes.
Answer:
9614
Step-by-step explanation:
Let us take 4 in the ratio as 4 units.
If 4 units means 3496, let us first find how many votes 1 unit is made up of.
3496/4=874 (/ means divide sign. If you are writing the equations out, do remember to change it to the actual divide sign. Sorry for the inconvenience)
Let us find how what is the total number of units now!
4+7=11
Now that we found out the total number of units, and how many votes is each unit made out of, it is time to find the final answer by multiplying each other.
874x11=9614
Hope this helped! If you need another method, along with a different explanation, or separate, do comment below, so I can know. Any part you do not understand, please don't be afraid to tell me. If you think I can improve my answer, or change any parts to perhaps make it clearer, i'm open to suggestions!
what is 36 as a product of its own prime factors
Write the prime factors in order from smallest to largest
The answer is:
⇨ 2 × 2 × 3 × 3Work/explanation:
The factors of 36 are:
4 × 9
But, these are not prime factors so we break them down even more :
2 × 2 × 3 × 3
This is how we write 36 as a product of its prime factors.
We could also use 6 × 6, then:
2 × 3
2 × 3
2 × 3 × 2 × 3
Rearrange from smallest to largest:
2 × 2 × 3 × 3
Once again we get the same answer.
Hence, that's the right answer.Which point lies on the line with a slope of m=2/3 that passes through the point (-3,-2)?
A. (3,4)
B. (5,7)
C. (-8,-4)
D. (-9,-6)
Answer:
D. (-9,-6)
Step-by-step explanation:
Use the given slope and point to solve for y using the point-slope equation.
y-y = m(x - x)
m= 2/3 (-3, -2)
y + 2 = 2/3(x + 3)
y + 2 = 2/3x + 2
y = 2/3x
Then plug in the x's in the points that you can choose from. If the y equals the y in the given point that is the answer.
( 3,4) y = 2/3(3) = 2
( 5,7) y = 2/3(5) = 10/3
( -8, -4) y = 2/3(-8) = - 16/3
( -9, -6) y = 2/3(-9) = -6
If the discriminant of a quadratic equation is equal to 10, which statement describes the roots?
aThere are two complex roots.
bThere is one real root.
cThere are two real roots.
dThere is one complex root.
Please help i added the picture
HELPPPPPPPP I NEED HELP ON THIS.....Choose the correct math expression for: 45 more than the difference of 35 and 13.
Answer:is it 45+(35-13)
Step-by-step explanation:
not 100 percent sure
