Recursive Formula
[tex]\begin{cases}a_1 = 8\\a_n = a_{n-1}-7\end{cases}[/tex]
The top row says the first term is 8
The bottom row says that to get the nth term, we subtract 7 from the (n-1)th term. So basically we subtract 7 from each term to get the next term.
Note the subscripts tell us which term we're working with.
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Arithmetic Formula
We have a = 8 as the first term and d = -7 as the common difference.
a(n) = a + d(n-1)
a(n) = 8 + (-7)(n-1)
a(n) = 8 - 7n + 7
a(n) = -7n+15
The nth term arithmetic formula is a(n) = -7n+15
If you plug in n = 1, you should get a(n) = 8
If you plug in n = 2, you should get a(n) = 1
and so on.
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Finding the 10th term
Plug in n = 10 to get
a(n) = -7n+15
a(10) = -7(10)+15
a(10) = -70+15
a(10) = -55
The 10th term is -55
what is the value of 8n when n=2
Answer:
16
Step-by-step explanation:
8(2) = 16
Answer:
16
Step-by-step explanation:
Here is a picture that shows one side of a child's wooden block with a semicircle cut out at the bottom. What is the area of the wooden block? *HINT (subtract the semi-circle from the rectangle)* The face of an arch-shaped block. The horizontal side of the block is labeled 9 centimeters and the vertical side of the block is labeled 4.5 centimeters. A semi circle with diameter labeled 5 centimeters is removed from the block.
Answer:
30.7 cm² (nearest tenth)
Step-by-step explanation:
Area of the wooden block = area of rectangle - area of semi-circle
Area of Rectangle = length × width
Length = 9 cm
Width = 4.5 cm
Area of rectangle = 40.5 cm²
Area of semi-circle = ½(πr²)
Radius (r) = ½ of diameter = ½*5 = 2.5 cm
π = 3.14
Area of semi-circle = ½(3.14*2.5²)
Area of semi-circle = 9.8125 cm²
✅Area of the wooden block = 40.5 - 9.8125 = 30.7 cm² (nearest tenth)
The area of the wooden block is [tex]30.7 cm^2[/tex].
The calculation is as follows:We know that
Area of the wooden block = area of the rectangle - area of semi-circle
Here
[tex]Area\ of\ Rectangle = length \times width[/tex]
Here Length = 9 cm
And, Width = 4.5 cm
So,
Area of rectangle = [tex]40.5 cm^2[/tex]
Now
Area of semi-circle is
[tex]= \frac{1}{2} \pi r^2[/tex]
[tex]= \frac{1}{2} \times 3.14\times 2.5^2[/tex]
= [tex]9.8125 cm^2[/tex]
Now the Area of the wooden block is
= 40.5 - 9.8125
= 30.7
Therefore we can conclude that the area of the wooden block is [tex]30.7 cm^2[/tex].
Learn more: brainly.com/question/13549064
3x+6y=30
What is the x intercept
Answer:
x=8
Step-by-step explanation:
My answer is correct because if I am checking my work-
Step 1: Subtract 6 from both sides.
3x+6−6=30−6
3x=24
Step 2: Divide both sides by 3.
3x
3
=
24
3
x=8
~boom~
You borrowed Php 25,000 from your friend and you agreed to pay it back after 180 days on ordinary time for a 5% interest. How much are you going to pay your friend after 180 days?
Answer:
i need points
Step-by-step explanation:
lol sorry
CAN SOMEONE PLEASE HELP ME ILL GIVE YOU GOOD RATING
Answer:
A
Step-by-step explanation:
The sides are the same so it's equilateral and it's acute because it's not more than 180degrees.
Hope this helps plz mark brainliest:D
Answer:
Your answer is a
Step-by-step explanation:
The little lines on the edge of the triangle mean the sides are equal and the angles are below 90 degrees so they are acute
factorise a2+7a+12
Answer:
(a+4)X(a+3)
Step-by-step explanation:
a2+7a+12
a2+4a+3a+12
ax(a+4)+3(a+4)
(a+4)(a+3)
sana nakatulong
When the polynomial in P(x) is divided by (x - a), the remainder equals P(a).
A. True
B. False
Answer:
A
Step-by-step explanation:
The Remainder theorem states that a polynomial f(x) divided by (x + h ) has remainder given by
f(- h)
Thus if P(x) is divided by (x - a) then the remainder is P(a) → True
i need to know where to graph it too
Step-by-step explanation:
y=2x+3
y=3x+3
(Use the elimination method)
y=2x+3(-3) = -6x-9
y=3x+3(2) = 6x+6
(subtract the new equations)
y= -3
(Now find X)
(plug in y in any equation and solve)
y=2x+3
(-3)=2x+3
0= 2x X= 0
or you can just graph the lines go to three on the Y axis put a point go up the y-axis two and over 1 and plot another point.
go to three on the y-axis and plot a point. go up three on the y-axis and over 1
what is 1+1 = plz anser me
Answer:
2
Step-by-step explanation:
1 + 1 = 2Answer:
1+1=2
Step-by-step explanation:
ez math
Chloe was given a box of assorted chocolates for her birthday. Each night, Chloe treated herself to some chocolates. There were originally 30 chocolates in the box and after 2 nights, there were 24 chocolates remaining in the box. Write an equation for
C
,
C, in terms of
t
,
t, representing the number of chocolates remaining in the box
t
t days after Chloe's birthday.
Answer:
the answer would be
Step-by-step explanation:
i hope this helped
27x9^3x can be written in the form 3^k where K is an expression in terms of x. Find k
Answer:
k = 3 + 6x
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]
Given
27 × [tex]9^{3x}[/tex]
= 3³ × [tex](3^{2}) ^{3x}[/tex]
= 3³ × [tex]3^{6x}[/tex]
= [tex]3^{3+6x}[/tex]
= [tex]3^{k}[/tex] → with k = 3 + 6x
Pls help meeee. Given 2
Answer:
think 2 could be wrong
Brainlest pls
Step-by-step explanation:
x
Baxter, Jackie, Quincy, and Valerie open savings accounts. At the end of each month, all four friends deposit different amounts of money into their savings accounts.
of the four, which friend is saving money at a proportional rate?
Answer:
baxter's saving account
Step-by-step explanation:
3y+ 2 y + y^2 + 5+ y
simplify this expression
Answer: y^2 + 6y + 5
Step-by-step explanation:
Find the measure of the complement of
Step-by-step explanation:
measure of the complement of??????
Answer:
the rest of the question???
Step-by-step explanation:
Pls whoever knows how to do this best answer smart people 100% this geometry work give Brainly pls help
Answer is 24
Step-by-step explanation:
If line LN is equal to 12 and since rhombuses are morrored triangles then LN would be congruent or equal to line JN. Then you would add LN 12
Help me with this plz
Answer:
My final answer is B. Please give me thanks if I'm right.
Step-by-step explanation:
I’ll give brainliest. Pls help me
5(-6+8)-(8+12)=
Hjhsk
Answer:
-10
Step-by-step explanation:
pemdas
Answer:
Today : Saturday, 07 November 2020
Hour: 14.19 WIB (Indonesia)
_______________________________
5 (-6 + 8) - (8 + 12)
= 5 (2) - 20
= 10 - 20
= -10
Write the slope intercept form of the equation of the line through the given point with the given slope through (-2,5),slope-3/2
What’s the median of 1,1,7,3,2,2,3,5
I think the answer is 3and2
Is this relation a function justify your anwser
Answer:
yes
Step-by-step explanation:
yes this is hope it hepls
PLEASE HELP ME ASAP??!!
Classify the following triangle. Check all that apply.
Answer:
A. Isosceles
D. Scalene
E. Acute
Enter an equation in point-slope form for the line.
Slope is 3 and (-8,-1) is on the line.
The equation of the line in point slope form is:
PLEASE HELP!!!
Answer:
y + 1 = 3(x + 8)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 3 and (a, b) = (- 8, - 1) , thus
y - (- 1) = 3(x - (- 8)), that is
y + 1 = 3(x + 8)
What is the answer to: two minus a number x is no more than 0
Answer:
x > 2
General Formulas and Concepts:
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Translate
"Two" = 2
"minus" = subtraction
"a number x" = x
"is no more than" = <
"0" = 0
Step 2: Set up inequality
2 - x < 0
Step 3: Solve for x
Subtract 2 on both sides: -x < -2Divide both sides by -1: x > 2Here we see that any value larger than 2 would work as a solution of x.
Solve the following equation. Show your work. x 2 - 4 = 0
Answer:
-4 sorry if not right i had this question before
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST
AABC has vertices A(1,3), B(2,5), and C(5,3). What are the coordinates of B' after
the translation by the vector <1,4>? (Give your answer as an ordered pair without spaces.)
Answer:
The coordinates of point B' are (3, 9)
Step-by-step explanation:
If the point (x, y) translated by a vector <a, b>, then its image is (x + a, y + b)
Let us use this rule to solve the question
In Δ ABC
∵ The coordinates of vertex A are (1, 3)
∵ The coordinates of vertex B are (2, 5)
∵ The coordinates of vertex C are (5, 3)
∵ Δ ABC is translated by the vector <1, 4>
→ By using the rule above add the x-coordinate of point B by 1
and the y-coordinate of point B by 4
∴ B' = (2 + 1, 5 + 4)
∴ B' = (3, 9)
∴ The coordinates of point B' are (3, 9)
The sum of two numbers is 840. One of the numbers is 357. What is the other number?
Answer:
Step-by-step explanation:
Given
The sum of two number =840
One number =357
First number+second number=840
357+a=840
a=840-357
a=483
Solve the system of equatior x+2y=14 x-y=13
Answer:
y=7-x/2
y=-13+x
Step-by-step explanation:
Answer:
x=40/3 2/3
Step-by-step explanation:
Use elimination method for this. To do it, Multiply the x-y=13 by 2. It turns into 2x-2y=26. We have this
x+2y=14
2x-2y=26
Add because the signs are different for y each equation.
So 3x=40
x=40/3
14-40/3=2/3
y=2/3
x=40/3
hellppppp please simplify the expression- 96
Answer:
Step-by-step explanation:
-√96 = -4√6
