What is the 51st term of the arithmetic sequence 29,9,-11
Answer:
-951
Step-by-step explanation:
an=a1+(n−1)d
\begin{gathered}29 = a_1 + (1-1)d\\29 = a_1\\9 = 29 + (2-1)d\\9 = 29 + d\\d = -20\\a_n = 29 -20 (n-1)\\a_n = 29 - 20n+20\\a_n = -20n + 49\\\\a_51 = -20(51) + 49 = -951\end{gathered}29=a1+(1−1)d29=a19=29+(2−1)d9=29+dd=−20an=29−20(n−1)an=29−20n+20an=−20n+49a51=−20(51)+49=−951
The 51st term of the arithmetic sequence 29,9,-11 is -971 or a(51) = -971.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
It is given that:
The sequence is:
29, 9, -11
The above sequence represents an arithmetic sequence:
The common difference d = 9 - 29
d = -20
The first term a = 29
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
The nth term of the AP:
a(n) = a + (n-1)d
a(n) = 29 + (n - 1)[-20]
a(n) = 29 -20n +20
a(n) = 29 -20n +20
a(n) = 49 - 20n
Plug n = 51
a(51) = 49 - 20(51)
a(51) = -971
Thus, the 51st term of the arithmetic sequence 29,9,-11 is -971 or a(51) = -971.
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Does this scatter plot show a positive trend, a negative trend, or no trend?
Answer:
no trend
a positive trend would start in the bottom left and go toward the top right
a negative trend would start at the top left and go town the bottom right
this is an example of no trend
Step-by-step explanation:
a "trend" shows an increasing or decreasing relationship between the x and y values, in this they don't have any sort of relationship. you can tell by the repeating y values for multiple different x-values, or the repeating x-values for multiple different y-values.
This symbol means that both sets could have the same elements. (A ⊆ B)
True
False
Answer:
true
Step-by-step explanation:
because it is
Answer:
True
Step-by-step explanation:
Joan is buying a new car for a total of $23,150. If she makes equal payments for 48
months, about how much is Joan's monthly payment?
Answer:
About $482
Step-by-step explanation:
23150÷48=482.29
Round 482.29 to 482 if u want
Help guys, I’m sure it’s easy for y’all
Answer:
(x, y) -------- ( -x,-y)
Rule : Rotation center (0,0) , angle of rotation 180° or -180°
Step-by-step explanation:
The vertices of the object and image have coordinates at ;
D(-4,2), --------D'( 4,-2 ),
E (-1,3), --------E'( 1,-3 ),
F (-1,-3),--------F'(1,3),
G (-3,-4),------G'( 3,4 ),
You notice that after the rotation ;
( x, y )-------change to (-x,-y),
This rule is rotation center origin angle 180°
Find the value of X
Answer:
7
Step-by-step explanation:
Since the smaller triangle is similar to the larger, then its' sides are in the same proportion. So:
1/2=2x-6/16
Then:
4x-12=16
4x=28
x=7 ........................
PLEASE SHOW FULL SOLUTIONS!! Will Mark Brainliest for the best answer. The radius of a spherical balloon is 3.5 cm. What is the volume of air in the balloon? Show your answer in terms of pi or round your answer to one decimal place.
THANKS
9514 1404 393
Answer:
343π/6 cm³ ≈ 179.6 cm³
Step-by-step explanation:
The formula for the volume of a sphere is one of the volume formulas worth memorizing. It is ...
V = (4/3)πr³
For r = 3.5 cm, the volume is ...
V = (4/3)π(3.5 cm)³ = 343π/6 cm³ ≈ 179.6 cm³
The volume of air in the balloon is about 179.6 cm³.
Edmund made a scale drawing of the rectangular floor of his kitchen. In the scale
drawing, 1 inch represents 2.5 feet. The measurements of the scale drawing are
shown in the diagram.
6.4 in.
4.8 in.
what is the perimeter of the actual kitchen floor in feet?
Answer:
324
Step-by-step explanation:
100 points! help please I need this
Answer:
5/4 is rational , 100 square root is irrational , 7.3 rational , 0.00247 is rational , 4/9 square root is irrational ,2/24 square root is irrational and 0.01 is rational :)
Question is in the image
Answer:
4.
Step-by-step explanation:
y = -2x + 3
-1 = -2(2) + 3
-1 = -4 + 3
-1 = -1
y = x - 3
-1 = 2 - 3
-1 = -1
The cost of an iPhone is $899.99 plus 8.5% tax. What is the cost of tax for the iPhone?
Answer:
724.0915
Step-by-step explanation:
multiply 899.99 and 8.5 you get 724.0915
hope this helps
What is the quotient of 1/10 and 9/10
Answer:
1/9 = 0.1111111
Step-by-step explanation:
Help what is 2v+5(3v+4
explanation:
There isn't an exact way to answer this problem. Is there more to the question? If not, I am unable to answer it for you.
plz help urgent due now!!! i will give brainliest, and dont just take my points i need this bad, 20 points
34 Select the correct answer. Martin is ordering DVDs online. Each DVD is priced at $8.50. The website also charges a flat fee of $5.00 for shipping and handling for any size order. If Martin decides to spend no more than $56, how many DVDs can he buy?
look at pic
Answer:
i think letter d
Step-by-step explanation:
i hope you know the answer
write an expression equal to
[tex] {7}^{3} [/tex]
Answer:
7×7×7
Explanation:
[tex] {7}^{3} = 7 \times 7 \times 7[/tex]
When a number is raised to a power, it means that the number is multiplying itself as many times as the number written as the power.
A friend recently planned a camping trip. He had two flashlights, one that required a single 6-V battery and another that used two size-D batteries. He had previously packed two 6-V and four size-D batteries in his camper. Suppose the probability that any particular battery works is p and that batteries work or fail independently of one another. Our friend wants to take just one flashlight. For what values of p should he take the 6-V flashlight
Answer:
The values of p = 0 < p ≤ 2/3
Step-by-step explanation:
First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable
P ( 6v flashlight working ) = P ( at least one 6V battery works )
= P ( 1 6v battery work ) + P ( 2 6v battery work )
= b( 2; 2, p ) + b( 1; 2, p )
write out a formula of b( 2; 2, p ) + b( 1; 2, p )
P ( 6v flashlight working ) = p^2 + 2p( 1 - p )
Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable
P ( D flashlight works ) = p ( at least two D batteries works )
= b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
write out a formula of b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
P ( D flashlight works ) = [tex]P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2[/tex]
attached below is the remaining solution
I need all of these please
Answer:
Step-by-step explanation:
this is the solve for the first q. only sorry
Jonathan went shopping for a new camera. The listed price of the camera was $43, but the price with tax came to 46.87. Find the percent sales tax
Answer:
x = 8,25%
Step-by-step explanation:
46,87 - 43 = 3,87
$46,87 ----- 100%
$3,87 ------ x
46,87x = 100 . 3,87
x = 387 / 46,87
x = 8,25%
Given f(x) = 5(2-x), what is the value of f(-3) ?
Answer:
f(-3) = 25
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 5(2 - x)
f(-3) is x = -3
Step 2: Evaluate
Substitute: f(-3) = 5(2 - -3)Simplify: f(-3) = 5(2 + 3)Add: f(-3) = 5(5)Multiply: f(-3) = 25Find the coefficient of x^2 y^3 in the expansion of (-4x+y)^5. Give your answer as an integer.
What of the following lines is perpendicular to the line passing across the points (1,1) and (-5,-6)?
y = 6/7x + 1
y = -6/7x + 1
y = -6/7x - 1
y = 6/7x - 1
Jessica, Hans, and Tom sent a total of 95 text messages during the weekend. Tom sent 3 times as many messages as Hans. Jessica sent 10 more messages than Hans. How many messages did they each send?
Answer: Manal = 27 messages
Elisa = 17 messages
Abdulrahman = 51 messages
Step-by-step explanation:
Let tye number of messages that Manal sent be x.
Since Eissa sent 10 fewer messages than Manal, this will be:
= x - 10
Abdulrahman sent 3 times as many messages as Eissa. This will be:
= 3(x - 10) = 3x - 30
We are also told that Manal, Abdulrahman, and Eissa sent a total of 95 text messages. This will be:
x + (x - 10) + (3x - 30) = 95
x + x - 10 + 3x - 30 = 95
x + x + 3x - 10 - 30 = 95
5x - 40 = 95
5x = 95 + 40
5x = 135
x = 135/5
x = 27
Manal = x = 27
Elisa = x - 10 = 27 - 10 = 17
Abdulrahman = 3x - 30 = 3×27 - 30 = 81 - 30 = 51
Manal = 27 messages
Elisa = 17 messages
Abdulrahman = 51 messages
What is the slope of the line graphed below
Find the equation of the line above. Write the equation in slope intercept form.
The new owners of Bluegrass Natural Foods, Inc., have hired you to help them diagnose and cure problems that the company has had in maintaining adequate liquidity. As a first step, you perform a liquidity analysis. You then do an analysis of the company’s short-term activity ratios. 3
Your calculations and appropriate industry norms are listed.
Current ratio bluegrass 4.5 industry norms 4.0
Quick ratio bluegrass 2 industry norms 3.1
Inventory turnover bluegrass 6 industry norms 10.4
Average collection period bluegrass 73 days industry norms 52 days
Average payment period bluegrass 31 days industry norms 40 days
a. What recommendations relative to the amount and the handling of inventory could you make
to the new owners?
b. What recommendations relative to the amount and the handling of accounts receivable could
you make to the new owners?
c. What recommendations relative to the amount and the handling of accounts payable could you
make to the new owners?
Answer:
I don't understand make is more simplify
11) Select the best answer.
How many significant figures does the following number have?
0.056
4
5
3
2
1
Find the x- and y-intercepts of the parabola y=−3x^2−5x+6
The x-intercepts are x = 2/3 and x = 3.
The y-intercept is (0, 6).
What is a parabola?A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.
The equation of a parabola:
y = a(x - h)² + k
we have,
To find the x-intercepts, we set y to zero and solve for x:
0 = −3x^2 − 5x + 6
We can factor this quadratic equation:
0 = (−3x + 2)(x − 3)
x - 3 = 0
x = 3
And,
-3x + 2 = 0
-3x = -2
x = 2/3
So the x-intercepts are x = 2/3 and x = 3.
To find the y-intercept, we set x to zero and evaluate y:
y = −3(0)² − 5(0) + 6
y = 6
So the y-intercept is (0, 6).
Thus,
The x-intercepts are x = 2/3 and x = 3.
The y-intercept is (0, 6).
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IF I GET AN ANSWER IN 10 MIN UR VOTED BRAINLIEST
whats the best way to remember whether a number is positive or negative when adding subtracting multiplying and dividing?
Adding and subtracting with negative numbers
First, recognize that adding and subtracting are, from one viewpoint, the same thing. Subtracting a number is the same thing as adding the negative of that number. For example, 4 – 12 is the same as 4 + –12 (which, because the order of terms doesn't matter with addition, is the same as –12 + 4). With that in mind, here are the rules for adding with negative and positive numbers:
If both numbers are positive, then the answer is positive.
If both numbers are negative, then the answer is negative.
If the numbers have different signs, the answer takes the sign of the higher number.
Subtracting a negative number is the same as adding the positive of that number. For example, 5 – –4 is the same as 5 + 4.
Multiplying and dividing with negative numbers if the numbers have different signs, the answer is negative.
jerry's softball team is made up of 15 players,and 9 of them are boys.On the team,what is ratios to boys to girls?
Answer:
9:6
Step-by-step explanation:
boys= 9 teammates
girls= 6 teammates
2х + y = 4
у = 3х – 1
its 2 because 2plus is 2
Select the correct answer
Answer:
Option B
Step-by-step explanation:
Domain of a function is represented by the set input values or x-values
Range of the function is represented by the set of output values or y-values.
From the graph attached,
y-values are varying from y = - 9 to y = 8.
Therefore, range of the function from the given graph will be,
-9 ≤ y ≤ 8
Option B will be the correct option.