Which of the following is a Recursive Formula for an Arithmetic Sequence?
an = 6n – 9
an = -3 + 6(n – 1)
a1 = -3, an = an-1 + 6
a1 = -3, an = 6an-1
Pls I require assistance.
The Recursive formula for an Arithmetic Sequence is a1 = -3, an = an-1 + 6.
What is Arithmetic sequence ?An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.
Given:
an = -3 + 6(n – 1)
a1= -3
a2= 3
a3 = 9
Here the common difference is 6 and first term is -3
Hence, the recursive formula is a1 = -3, an = an-1 + 6.
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which three quantities are needed in order to calculate the value of the y-intercept for the linear regression prediction equation?
The three quantities needed are the mean of X, the mean of Y, and the slope
How to determine the values?The y-intercept of a linear regression is calculated using:
[tex]a = \bar y - a\bar x[/tex]
Where:
[tex]\bar y[/tex] represents the mean of y[tex]\bar x[/tex] represents the mean of xa represents the slopeHence, the three quantities needed are the mean of X, the mean of Y, and the slope
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Which of the following situations could be represented with the following system of equations?
Option B is correct for the given system of equations.
The given system of equations 13(v-w)=52 and 12(v+w)=72.
What are systems of equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Now, 13(v-w)=52⇒v-w=4-----(1) and 12(v+w)=72⇒v+w=6------(2).
By adding (1) and (2), we get
v-w+v+w=4+6⇒2w=10⇒w=5
By substituting w=5 in equation (1), we get v-5=4⇒v=9.
Thus, the statement "Andy flew his model aeroplane at full speed straight into the wind for 13 seconds before turning it around and flying directly with the wind for 12 seconds. The aeroplane flew 72 yards on the way out and 52 yards on the way back" is correct for the given system of equations.
Therefore, option B is correct for the given system of equations.
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The _____ _____, denoted , is given by the formula _____, where x is the number of individuals with a specified characteristic in a sample of n individuals.
The sample proportion denoted [tex]\hat{p}[/tex] is given by the formula [tex]\hat{p} = \frac{x}{n}[/tex], where, x is the number of individuals with a specified characteristic in a sample of n individuals.
What is a sample proportion?A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.
Mathematically, sample proportion can be calculated by using this formula:
[tex]\hat{p} = \frac{x}{n}[/tex]
Where:
x is the number of individuals with a specified characteristic.n is the total number of individuals in a sample.Read more on sample proportion here: https://brainly.com/question/23838641
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PLSSSSSS ANGLES I need helppppp
Answer: B. 55°
Step-by-step explanation: A single line is 180°. There are two of those lines that are both marked, meaning that they are equal. If this is true, then that must be the same for the other side. We would just have to find the angle for that.
180°- 125° = 55°
Therefore, the answer is B. 55°.
I hope this helps! Pls give brainliest!! :)
find the value of c so that (x+1) is a factor of the polynomial p(x). p(x)=5x^4+7x^3-2x^2-3x+c
Answer:
C=1
Step-by-step explanation:
5x^4+7x^3-2x^2-3x+1 / (x+1)
-1/ 5 7 -2 -3 1
5 2 -4 1 0
Remainder of 0 indicates that x=-1 is a solution.
Solve for the value of x:-
4x+3(x-1)=67
Answer:
x = 10
Step-by-step explanation:
4x + 3(x - 1) = 67 ← distribute parenthesis and simplify left side
4x + 3x - 3 = 67
7x - 3 = 67 ( add 3 to both sides )
7x = 70 ( divide both sides by 7 )
x = 10
Hi. . .
✦•···················•✦•···················•✦
A n s w e r : -[tex]\boxed{\fbox{\huge{x = 10}}}[/tex]
E x p l a n a t i o n :Let's solve your equation step-by-step ~
➳ Step 1: Simplify both sides of the equation.
[tex]\sf{4x \: + \: 3(x \: - \: 1) = 67}[/tex]
[tex]\sf{4x \: + \: (3)(x) \: + \: (3)(-1) = 67} \: (Distribute)[/tex]
[tex]\sf{4x \: + \: 3x \: + \: -3 = 67}[/tex]
[tex]\sf{(4x \: + \: 3x) \: + \: (-3) = 67} \: (Combine \: like \: terms)[/tex]
[tex]\sf{7x \: + \: 7 \: -3 = 67}[/tex]
[tex]\sf{7x \: - \: 3 = 67}[/tex]
➺ Step 2: Add 3 to both sides.[tex]\sf{7x \: - \: 3 \: + \: 3 = 67 \: + 3}[/tex]
[tex]\sf{7x = 70}[/tex]
➽ Step 3: Divide both sides by 7.[tex]\sf{\frac{7x}{7} = \frac{70}{7}[/tex]
[tex]\boxed{\fbox{\huge{x = 10}}}[/tex]
Hope It Helps...
What is the value of K ?
Answer:
the answer is A K= -2.5
Step-by-step explanation:
i did the problem
Please help fast!!
Multiply and reduce to lowest terms. Convert into a mixed number if necessary.
[tex]3 \times \frac{2}{5} [/tex]
Answer:
[tex]1\frac{1}{5}[/tex]
Step-by-step explanation:
3 = 3/1
(multiply top and bottom separately for fractions)
[tex]\frac{3}{1}[/tex] × [tex]\frac{2}{5}[/tex] = [tex]\frac{6}{5}[/tex]
[tex]\frac{6}{5} = \frac{5}{5}+\frac{1}{5}= 1\frac{1}{5}[/tex]
Answer:
1 1/5Step-by-step explanation:
3×2/5multiplying three (3) and two(2) and express the product of three and two over five.
6/5five can enter in six three times , remainder 1
The fraction in lowest terms is one whole number , one over five.
1 1/5100 pints help would be greatly appreciated
Answer:
(4, -2) (see attached)
Step-by-step explanation:
Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.
__
vector componentsThe components of the vectors are ...
u = (1, -2)
v = (-6, -6)
Then the components of the vector sum are ...
2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)
2u -1/3v = (4, -2)
graphicallyThe sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.
One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.
The resultant is in red in the attachment.
The answer is (4, -2) hope this helps!
Rewrite the expression in the form z^n. z x z x z x z x z x z/z x z
Answer:
z⁴
Step-by-step explanation:
(z x z x z x z x z x z) / (z x z)
z⁶ / z² = z⁴
The first five terms of a quadratic sequence is 1,8,21,40,65 .
What is the nth term of this sequence?
Thanks
And will give a brainliest!!
Answer: Nth term = 5
Explanation:
An = a + ( n - 1 ) d
a = first term and
d = the difference
An = 1 + ( n - 1 ) 6
= 1n - 1 + 6
CLT
N = -1+6
N = +5 /5
Mark brainliest
Answer:
Formula To Find: [tex]a_{n} = 3n^2 - 2n[/tex]
Step-by-step explanation:
this is not a right angled triangle, but how do i find the 3rd side of a triangle if one side is 50 and the other side is 30?
Use the Pythagorean theorem.
I need help with this: -1/4 x (-7/9)
Multiply -1/4 by -7/9 ((To do this, multiply the numerator by the numerator and the denominator by the denominator.)
[tex]\bf{\dfrac{-1(-7)}{4\times9)} \ \ \to \ \ \ Multiply }[/tex]
Do the multiplications in the fraction -1(-7) / 4 x 9.
[tex]\bf{\dfrac{7}{36} \ \ \Rightarrow \ \ \ Answer }[/tex]
{ Pisces04 }Find x.
7x
6x+1
4x+6
Answer:
this is the answer
Step-by-step explanation:
6x+1=0
6x=-1
x=-1/6
x=0,166
7x=7×x
How to use delta math
Answer:
DeltaMath allows teachers to create free online accounts and assign their students automatically-graded, interactive problems from a long list of modules sorted by level – from middle school Common-Core-aligned math to AP Calculus.
Step-by-step explanation:
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Which of the following is equivalent to
Answer:
The first one
Step-by-step explanation:
[tex]n^{2} - 6n + 9 = (n-3)^{2}\\\\[/tex]
The expression removes the first 9 terms of the summation so the summation goes from 10 to 19
Solve the equation for x by graphing.
-2x − 3 = 3x + 2
Answer:
C
Step-by-step explanation:
you need to re arrange like terms
1. Harry is buying a new conservatory. He says, "The conservatory is a cube shape and the length measures 2m. How much space will his new conservatory take up?
2. The sum of a cubed number and a square number is 150. What are the 2 numbers?
3. Caroline's daughter has an age that is a cubed number. next year her age will be a squared number. How old is she?
Answer:
1) 8 m^3
2) 125 + 25
3) 8
Step-by-step explanation:
1) It's a cube shape => length = width = height = 2 m
Volume = length × width × height = 2 × 2 × 2 = 8 m^3
2) 5^2 + 5^3 = 150
25 + 125 = 150
3) Now she is 8 years old (8 = 2^3)
Next year she'll be 9 years old (9 = 3^2)
Simplify the following expression.
3x +2x³-5x² + 4x +6x-2x-3x² + 7x² - 3x³
Answer: [tex]-x^3-x^2+11x\\[/tex]
Step-by-step explanation:
Combine Like Terms:
[tex]=3x+2x^3+-5x^2+4x+6x+-2x+-3x^2+7x^2+-3x^3\\\\=(2x^3+-3x^3)+(-5x^2+-3x^2+7x^2)+(3x+4x+6x+-2x)\\\\=(-x^3)+(-8x^2+7x^2)+(7x+4x)\\\\=-x^3-x^2+11x\\[/tex]
ENS of soda (input)
60
70
80
90
100
110
Earnings (output)
$ 24
$28
$ 32
$36
$ 40
$ 44
How many liters would you have to sell to earn
$36?
000
Clear all
Enter the correct answer.
000
2
DONE
Answer:
90 liters
Step-by-step explanation:
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area = in
help me please ty:)
Answer:
36 inches but im really not sure though because you got to times them together and then divide by 2
GIVING BRAINLIEST TO CORRECT ANSWER What rotation about the origin is equivalent to R-200°
A. R-160
B. R560
C. R160
D. R200
The rotation about the origin that is equivalent to R-200° is; C. R160
How to find the angle of rotation?We are given;
Origin = -200°
Now, even if we add and also subtract a complete rotation of 360° (or even several rotations of 360°), we will want to have the similar rotation.
Thus;
By adding 360° to -200°, we have;
α = -200° + 360°
α = 160°
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HELP!!
Which compound inequality is represented by the graph?
-5-4-3-2-1 0 1 2 3 4 5
O-2
0-2 ≤x≤4
O x < -2 or x ≥ 4
O x≤-2 or x > 4
Answer: Choice C
[tex]x < -2 \text{ or } x \ge 4[/tex]
==========================================
Reason:
The portion on the left represents [tex]x < -2[/tex] because of the open circle at -2 and shading pointing to the left. This represents all numbers smaller than -2.
The portion on the right represents all values that are 4 or larger; hence [tex]x \ge 4[/tex]. Note the use of a closed circle at 4 to include this value.
We connect those two inequalities with the keyword "or" because x can only pick one of those options, but not both at the same time.
blem Sets Questions
e the questions below. Show your work.
1. Mike and Juan are going on a road trip for graduation. Together they have $300 dollars to spend on a
rental car. If the company charges a flat fee of $50 plus $0.75 a mile, how many miles can they travel
and still be within their budget?
Answer:
333.33 miles
Step-by-step explanation:
Let x be the number of miles Mike and Juan drive.
They only have $300, however, so let's set an equation that will tell us how many miles, x, does it take to result in a total bill of $300. The mileage fee will be ($0.75/mile)*(x miles driven). Start with the $300 and subtract both the fixed fee of $50 and the mileage fee of 0.75x and set the result to zero, the point at which they spend $300.
$300 - $50 - ($0.75)x = 0
$250 - ($0.75)x = 0
- ($0.75)x = -$250
x = -($250)/(-$0.75)
x = 333.33 miles
CHECK:
Would Mike and Juan spend $300 on the rental car if they drove 333.33 miles?
Rental Fee: $50
Mileage: ($0.75/mile)*(333.333 miles) = $250
Total Cost: $300 YES
Nothing left for burgers,
I think my other question might've been deleted for some reason
We know that if (x,y) lies on the graph of a function, then (y,x) lies on the graph of its inverse.
This means you need to draw the segment with endpoints (9,1) and (2,3).
What is the common ratio between successive terms in the sequence?
27, 9, 9, 1,
3,
of
Answer:
What is the common ratio between successive terms in the sequence?
27, 9, 9, 1,
3,
of
What is 1.2 converted into a fraction then divided by 7
*GEOMETRY
help me with questions 9, 10, and 11 please!
9) Diagonals of a parallelogram bisect each other, so KN=NM. Thus, KM=13.5+13.5=27 cm
10) Opposite sides of a parallelogram are congruent, so LM=KJ=17 cm
11) Based on Question 9, MN=13.5 cm
PLEASE HELP ASAP!!!!!!!!!
The terminal ray of angle θ drawn in standard position passes through (1,−3).
What is the value of cscθ?
Enter your answer in the box. Enter your answer in simplest form.
csc0=
The radius of the circle is
[tex] \sqrt{ {1}^{2} + {( - 3)}^{2} } = \sqrt{10} [/tex]
meaning that
[tex] \sin( \theta ) = \frac{ - 3}{ \sqrt{10} } [/tex]
Thus,
[tex] \csc \theta = - \frac{ \sqrt{10} }{3} [/tex]
The value of csc θ is √10/ (-3).
What is trigonometry?
Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.
As,
(1,−3) is in quadrant 4 and csc is negative.
Using Pythagoras,
H=√ 1² + (-3)²
H= √10
So, cosec θ= H/P
= √10/ (-3)
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