Recurrence functions are used to preedict the subsequent value in a sequence. The fourth term of the sequence based on the recurrence relation is 25
How to find the recurrence relation of a function?Given the recurrence relations according to the question
s(1) = 2 and
s(2)=3
s(k) =s(k-1)+2s(k-2)+6
If s(1) = 2, hence;
s(3) =s(3-1)+2s(3-2)+6
s(3) = s2 + 2s1 + 6
s(3) = 3 + 2(2) + 6
s(3) = 13
Determine the fourth term:
s(4) =s(4-1)+2s(4-2)+6
s(4) = s3 + 2s2 + 6
s(4) = 13 + 2(3) + 6
s(4) = 25
Hence the fourth term of the sequence based on the recurrence relation is 25
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What is "m= -2;( 7,-4 )" in slope intercept form?
Answer:
y = -2x + 10
Step-by-step explanation:
!URGENT!
What is the equation of the line that contains the point (-5,-1) and had a slope of 4? Write in slope-intercept form.
Answer:
y=4x+19
Step-by-step explanation:
(-5,-1)
-1=4(-5)+b Multiply 4 and -5
-1=-20+b Add 20 to -1
19=b
b=19
Colleen is cutting pieces of string to tie around party bags for her sister’s
birthday party. The length of each piece of string needs to be 8.75 inches.
If she has 100 party bags, what is the length of string Colleen needs to tie
all the bags?
Answer:
875 inches
Step-by-step explanation:
almost 73 feet!
NO LINKS!!
Suppose the goal is to raise $600. One equation relating the calendar and poster sales to the $600 goal is 3c + 2p= 600. Suppose the company donating the calendars and posters said they would provide a total of $250 items.
Answer:
100 calendars and 150 postersStep-by-step explanation:
Note it seem the "$" shouldn't be in front of 250 as it is the numbe of itemsa) The second equation is
c + p = 250b) The graph of both equations is attached
The intersection point of the lines is (100, 150)
It indicates 100 calendars and 150 posters to be donated to meet both of targets $600 and 250 items.
Answer:
Given equation:
[tex]3c+2p=600[/tex]
where:
c = number of calendarsp = number of postersPart (a)If the company donating the calendars and posters said they would provide a total of 250 items then:
[tex]c+p=250[/tex]
Part (b)To graph:
Rewrite both equations to make p the subjectFind the c-interceptFind the p-interceptConnect the two points with a straight line[tex]3c+2p=600 \implies p=300-\dfrac{3}{2}c[/tex]
[tex]\textsf{x-intercept}: \quad 300-\dfrac{3}{2}c=0 \implies c=200 \implies (200,0)[/tex]
[tex]\textsf{y-intercept}: \quad 300-\dfrac{3}{2}(0)=300 \implies (0,300)[/tex]
[tex]c+p=250 \implies p=250-c[/tex]
[tex]\textsf{x-intercept}: \quad 250-c=0 \implies c=250 \implies (250,0)[/tex]
[tex]\textsf{y-intercept}: \quad 250-0=250 \implies (0,250)[/tex]
Point of intersection (equate equations):
[tex]\begin{aligned}300-\dfrac{3}{2}c &=250-c\\50 & =\dfrac{1}{2}c\\ c & =100\end{aligned}[/tex]
[tex]p=250-100=150[/tex]
[tex]\implies \left(100,150}\right)[/tex]
The point of intersection tells us that they need to sell 100 calendars and 150 posters to reach their goal of raising $600. Therefore, the company needs to provide 100 calendars and 150 posters (or 250 items in the ratio of calendars to posters of 2 : 3).
The measures angles of hexagon are 4x, 5x, 6x, 7x, 8x and 9x. calculate the size of the largest angle.
Answer:
rounded to the nearest whole number = 166
Step-by-step explanation:
Add all of the angles together, to get 39x. In a hexagon, all the angles add up to 720. Divide 720 by 39 to get x, then multiply x by 9, as that is the largest angle to get an answer rounded to the nearest whole number of 166.
If you found this answer helpful, I would appreciate it if you gave me brainliest :D
A family of five went out to dinner at HogTastic Pit BBQ. They all ordered the buffet and drink at $12.80 each. They left a 15% gratuity for the waitress on the after-tax bill. Based on a tax rate of 7.5%, they ended up paying a total of $ blank
for dinner.
Answer: $79.12
Step-by-step explanation:
[tex]$$5 peopleeach order is worth \$12.80$$\begin{aligned}\therefore \text { Total bill } &=12.80 \times 5 \\&=64 \$\end{aligned}$$[/tex]
[tex]${Tax}: 7.5 \%$$\therefore$ Bill after tax$$\begin{aligned}&=64\left(\frac{100+7.5}{100}\right) \\&=64(1.075) \\&\text{Bill \ with \ tax}=68.8 \$$\end{aligned}$$[/tex]
[tex]$$Gratuity$=15 \%$ of bill with tax$$\begin{aligned}\therefore \text { Gratuity} &=0.15 \times 68.8 \\&=10.32 \$\end{aligned}$$$\therefore$ Ended up paying a total of $=68.8+10.32$$$\ \ \ \ \ \ \ \ \ \ =\$79.12 $$[/tex]
which expression is equivalent to 2^-5?
Answer:
1/32
Step-by-step explanation:
Basic theory: x ^ (-a) = 1 / x^ (+a)
2^(-5) = 1 / 2^(+5) = 1/ 32
The area of a rectangle is 72 square inches. The length is
12 inches. What is the width?
Answer: 6 inches
Step-by-step explanation: the area of a rectangle is width times length, that is [tex]A = w.l[/tex]
In this case we have:
Area A = 72 square inchesWidth w = 12 inchesSo to get the Lenght l we need to divide [tex]l = \frac{A}{w}[/tex]
[tex]l = \frac{72}{12}[/tex]
[tex]l = 6[/tex]
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS IF YOU ANSWER WITH A LINK YOU WILL GET REPORTED!!!!!! AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
1,5
Step-by-step explanation:
The translation can be seen in one line. You can see one going up by 5 and going to the right (not left as that would make it -1,5).
What is the determinant of this matrix:
[tex]\left[\begin{array}{ccc}0&8\\7&0\end{array}\right][/tex]
Answer:
-56
Step-by-step explanation:
Formula to get determinant is::
[tex]\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc[/tex]
0(0)-8(7)
0 - 56
-56
[tex]\\ \rm\Rrightarrow \left|\begin{array}{ccc}0 &8 \\ 7& 0\end{array}\right|[/tex]
[tex]\\ \rm\Rrightarrow 0-8(7)[/tex]
[tex]\\ \rm\Rrightarrow 0-56[/tex]
[tex]\\ \rm\Rrightarrow -56[/tex]
NO LINKS!! Find the perimeter of the figure part 2
Answer:
310 yd
Step-by-step explanation:
Perimeter = distance all the way around the outside of a 2D shape
Missing vertical length = 22 + 27 + 15 = 64
⇒ perimeter = 59 + 22 + 32 + 27 + 32 + 15 + 59 + (22 + 27 + 15)
= 59 + 22 + 32 + 27 + 32 + 15 + 59 + 64
= 310 yd
Break into three rectangles
Length of left most long side=27+22+15=64ydNow total perimeter
64+27+22+32++32+15+59+59310ydMr. Whitman gave a test to his 32 math students. He felt the results were low, so he retested them one week later. The results of the original and retake test are shown below.
A. What is the difference in the median grade?
B. Compare the percent of students who got at least a 60 on the original test to those that got at least a 60 on the retake.
C. If the students need a 65 in order to pass the test, how many more passed the retake?
The number of student more passed the retake, when the students need a 65 in order to pass the test is 8.
What is box and whiskers plot?Box plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.
A.The difference in the median grade-The median of first test is 60 while the second test is 80. Thus, the difference is,
[tex]d=80-60\\d=20[/tex]
B. Compare the percent of students who got at least a 60 on the original test to those that got at least a 60 on the retake.The student, who got at least 60 in first test, falls in the second half of the plot. Thus, the 50% of students got atleast 60% marks. In the retake test, all 100% student got at least 60 on test.
C. If the students need a 65 in order to pass the test, how many more passed the retake?In the first test 1/4 are passed while in second test 3/4 students are passed and got the marks 65 or more than this, Thus the number of student pass more in this test,
[tex]n=(\dfrac{3}{4}-\dfrac{1}{2})\times 32\\n=8[/tex]
Thus, the number of student more passed the retake, when the students need a 65 in order to pass the test is 8.
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half of number q is 4
1/2 (1q) = 4
insert extra text here
Lucy spent 4 hours babysitting last week. Her sister Maria spent (b) times as many hours babysitting as Lucy that same week. Select ALL values for (b) where Maria babysits more hours than her sister Lucy.
Answer: I need a diagram to answer this correctly
Step-by-step explanation: I do not have what is needed in order to answer this question
What is the value of x?
Please help me
Answer:
54=x
Step-by-step explanation:
2x+2=3x-52
this is because they are opposite alternating angles so now we can re arrange the equation.
54=x
Step-by-step explanation:
The both angles are vertically opposite angle so
[tex](2x + 2) = (3x - 52)[/tex]
By moving x on left side
[tex]2x - 3x = - 52 - 2[/tex]
So
[tex] - x = - 54[/tex]
Negative sign in both side are canceled so we got
[tex]x = 54[/tex]
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEFred bought 5 pounds of ground beef. He will share the ground beef equally with Janice and Ralph. How much ground beef will each person get.
The question is an illustration of ratio, each person will get 1.67 pounds of ground beef
How to determine each person's share?The given parameters are:
Ground beef = 5 pounds
People = 3 i.e. Fred, Janice and Ralph
The amount gotten by each person is:
Share = 5 pounds/3
Evaluate the quotient
Share = 1.67 pounds
Hence, each person will get 1.67 pounds of ground beef
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HELP PLEASE I BEG U - 10MIN LEFT
A rectangle is shown on a coordinate plane with vertices A(Negative 4, 8), B(1, 8), C(1, Negative 1), and D(Negative 4, Negative 1).
On a coordinate plane, a rectangle has 4 points. Point A is (negative 4, 8), point B is (1, 8), point C is (1, negative 1), point D is (negative 4, negative 1).
What are the dimensions of the rectangle?
The base is 4 units and the height is 9 units.
The base is 5 units and the height is 7 units.
The base is 5 units and the height is 9 units.
The base is 9 units and the height is 3 units.
The base is 5 units and the height is 9 units.
Base:
-4 to 1
=====
1 -(-4)
5 units
Height:
-1 to 8
=====
8 -(-1)
8 + 1
9 units
What is the RANGE of the function shown in the graph?
A.
B.
C.
D.
Answer:
D
Step-by-step explanation:
you can see can graph intersects the y axis at -3 and it goes upward forever.So minimum for y is
-3 so it is -3<y<infinity.
Find the length of a using
the Pythagorean Theorem.
B
8
a
C
A
6
Hint: a² + b² = c²
Round your answer to the nearest tenth
Answer:
8.3
Step-by-step explanation:
8 square = 6 square + x square
square them
64 = 36 + x square
minus 64 with 36
64 - 36 = 28
cancel the square with square root
x square = 28
square root of 28 is 5.3
5.3 x 5.3 = 28.09
hope this helped you!
Simplify the product using the rules for exponents. (4^2)^4
[tex](4^2)^4 = 4^{ (2 \times 4)} = 4^8 = 65536[/tex]
[tex]\Large\text{65,536}[/tex]
Calculations ↓In order to simplify this expression , we have to multiply the powers (notice that we have a power to a power)
Simplify as follows :
(4²)⁴ = 4⁽²ˣ⁴)=4⁸
4 times itself 8 times simplifies to :
65,536[tex]\footnotesize\text{hope\:helpful~}[/tex]
You attend a working dinner with four other colleagues. Since alcohol
is not reimbursed by your company. your party receives two separate
bills: One for food ($156.65) and one for alcohol ($49.50). Each bill
needs to be split 5 ways.
How much do you owe for each bill?
$3.13 for food and $9.90 for alcohol
1.1
1.1
$31.33 for food and $0.99 for alcohol
1.1
$31.33 for food and $99.0 for alcohol
1.1
1.1
$31.33 for food and $9.90 for alcohol
1.1
Answer:
that is right because the bill is like a money service
what is the domain of the function f(x)=6x+3
Answer:
All Real Numbers
Step-by-step explanation:
This is a linear function, so the domain is All Real Numbers, or (-∞, ∞). In other words, the all numbers on the x-axis are defined on the graph. We have no points where x is undefined or imaginary. Domain contains all real numbers.
BRAINLIEST please if this helped!What is the area, in square inches, of the figure shown here?
10 in2
14 in2
16 in2
20 in2
Parallelogram
Area
S = ah
a = 5 in + 2 in = 7 in
h = 2 in
S = 7 in x 2 in = 14
What is the measure of overarc PR₂
R
o 300°
o 30°
30%
o 60°
o 15°
Answer:
60°
Step-by-step explanation:
By inscribed angle theorem
[tex]m(\widehat{PR}) = 2m \angle PQR \\ \\ \implies \: m(\widehat{PR}) = 2(30 \degree) \\ \\ \implies \: m(\widehat{PR}) =60 \degree[/tex]
Suppose one bag contains 500 cubic inches of confetti. How many bags will Student Government need to fill 100 containers? If they need 100 containers, how many TOTAL cubic inches of confetti will they need?
type your answer...
cubic inches How many bags will they need if each bag contains 500 cubic inches of confetti? You cannot buy a partial bag of confetti.
type your answer...
bags
The number of bags that they will need if each bag contains 500 cubic inches of confetti is 20,000
How to find the total volume ?One bag contains 500 cubic inches of confetti.
Therefore,
1 bag = 500 inches³
The student need to fill 100 containers with the bag.
Each container can accomodates 100,000 cubic inches.
Therefore,
1 bag = 500 inches³
100,000inches³ = 1 container = 200 bags
Therefore,
100 containers will contain 20, 000 bags of confetti.
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If prices rose 20,000% per month, by what percentage would prices have risen in one year?
Answer:
If one month, it's 20.000%
then what of 12 months
>20,000×12= 240000% in a year.
What is the measure of \angle x∠xangle, x?
Angles are not necessarily drawn to scale.
Answer:
x = 49
Step-by-step explanation:
Right angle so: 90 - 41 = x = 49
What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0,
12?
y=-5x+12
5x+y=12
y-12=5(x-0)
5x+y=-1
please...answer
Answer:
y=-5x+12
Step-by-step explanation:
just use a graphing calculator and basic knowledge of slope intercept form
Select the correct answer.
Which data set has the widest spread?
OA
data set A:3, 1, 2, 6, 7,2,5
O B. data set B: 4, 9, 4, 5, 3, 6, 8
Oc
data set C: 1, 4, 6, 5, 7, 8,5
data set D: 4, 3, 4, 7, 2, 3,1
data set E: 5, 1,4, 2, 6, 9,2
find the number equivalent that makes the ratio equivalent to 1:4
Answer:28
Step-by-step explanation:
complete the ratio 7:__ so that is equivalent to 1;4 the second number is missing 7;__. So compare the first numberof the two ratios 1:4 7:__ to get 7 from 1 multiply by 7, 4x7=28 this means 7:28 are equivalent to 1:4