Answer:
12 cm (I don't understand bro):(
the arithmetic sequence ai is defined by the formula: a1= 2 ai= ai - 1 -3 find the sum of the first 335 terms in the sequence
Given:
In an arithmetic sequence,
[tex]a_1=2[/tex]
[tex]a_i=a_{i-1}-3[/tex]
To find:
The sum of the first 335 terms in the given sequence.
Solution:
The recursive formula of an arithmetic sequence is:
[tex]a_i=a_{i-1}+d[/tex] ...(i)
Where, d is the common difference.
We have,
[tex]a_i=a_{i-1}-3[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]d=-3[/tex]
The sum of first i terms of an arithmetic sequence is:
[tex]S_i=\dfrac{i}{2}[2a+(i-1)d][/tex]
Putting [tex]i=335,a=2,d=-3[/tex], we get
[tex]S_{335}=\dfrac{335}{2}[2(2)+(335-1)(-3)][/tex]
[tex]S_{335}=\dfrac{335}{2}[4+(334)(-3)][/tex]
[tex]S_{335}=\dfrac{335}{2}[4-1002][/tex]
[tex]S_{335}=\dfrac{335}{2}(-998)[/tex]
On further simplification, we get
[tex]S_{335}=335\times (-499)[/tex]
[tex]S_{335}=-167165[/tex]
Therefore, the sum of the first 335 terms in the given sequence is -167165.
This month Joe spent 1/2 of his salary on food and 1/3 on rent. What part of his salary did he spend? Simplify the fraction if possible.
Answer:
the answer is 5/6
Step-by-step explanation:
1/2 + 1/3
1 =3 + 2=1 5
x
-- + --- = ---
2 x 3 = 6
WILL MARK BRAINLIEST!! Just help me out with number 2 please. :)
Here is an inequality: -2x > 10.
1. List some values for x that would make this inequality true.
Answer: Any negative number above -5, like -6, -7, etc.
2. How are the solutions to the inequality -2x ≥ 10 different from the solutions to
-2x > 10? Explain your reasoning.
9514 1404 393
Answer:
-5 is included in the solution set of the first, but not the second
Step-by-step explanation:
The solution to -2 ≥ 10 is x ≤ -5. The solution to -2x > 10 is x < -5. The difference is that x = -5 is included in the solution set of the first inequality, but is not included in the solution set of the second inequality.
When plotted on a number line, the former inequality has a solid dot at -5, indicating that point is included. The latter inequality has an open dot (circle) at -5, indicating that point is not included. (Both plots are shaded to the left of the dot.)
George worked on his science project for 5/12 hours on monday and 3/4 hour on tuesday. How much longer on tuesday did georege than on monday
Answer:
2/8 hours
Step-by-step explanation:
Plz give me brainlyist
5. Trenton is going to close and wrap the box
shown in wrapping paper. How many square
inches of wrapping paper will he need?
Answer:
Answer in the picture posted
What is the circumference of the circle?
Answer:
c=40.192
Step-by-step explanation:
c=2pir
c=2*pi*6.4
c=12.8pi
c=12.8*
c=40.192
What triangle is formed by the points (3,2 ) , 4, 7 and 5,6 ?
Answer:
Isosceles
Step-by-step explanation:
I'm not 100% sure but i believe its an isosceles.
Answer: the answer is A if ur on a iready test
Step-by-step explanation: they both are pointing to a
ez one cus im lazy so give it a shot and 1st right = brainle
Answer:
d
Step-by-step explanation:
Answer:
For The Number 6 Its A
For The Number 7 The Volume is 400
X=5 and y=7 for algebraic expression 2(4x-3) + 6(3y-5)
Answer:
2(4x-3) + 6(3y-5)
X=5 and y=7
2(4(5)-3) + 6(3(7)-5)
2(20-3) + 6(21-5)
2(17) + 6(16)
34 + 96
130
Step-by-step explanation:
Molly and Melissa swam laps during practice.
• Together they swam 25 laps.
Melissa swam 5 more than 3 times as much as Molly.
Write an equation for this situation. Use a variable to represent the number of laps for Molly
How many laps did Molly swim?
I have to do a math test what is 8 + (7 + 1) 2 ÷ 4 ⋅
Answer:
8
Step-by-step explanation:
taking my points back because you answered with spam.
Emma is driving at a constant speed. She drives 4 miles in 5 minutes. If she continues to drive at the same speed, how many miles will she drive in 15 minutes? Use a proportion to solve.
A:3 miles B:12 miles C:20miles D:60miles
Answer:
D. 60 Miles
Step-by-step explanation:
Consider triangles CBD and BDE and answer the questions that follows
2.1 Which side is common in both triangles?
2.2 What can be concluded about the heights of A CBD
and A BDE? Give a reason for your answer.
2.31 Using your answers from 2.1 und 2.2 above complete
the following statements:
2.3.1 Area of A CBD
2.3.2 Area of ABDE
2.4 What can be concluded about the area of A CBD and
ABDE?
Answer:
Step-by-step explanation:
∠ABD ≅ ∠BDE..... (given).... (1)
m∠ABD + m∠CBD = 180°... (straight line ∠'s)... (2)
From equations (1) & (2)
m∠BDE + m∠CBD = 180°....(3)
m∠BDE + m∠CDB = 180°... (straight line ∠'s)... (4)
From equations (3) & (4)
m∠BDE + m∠CBD = m∠BDE + m∠CDB
m∠CBD ≅ m∠CDB.. (Proved)
Help out thankssssssssss !!!!!!
Answer:
x =20?
Step-by-step explanation:
I set them equal to each other
Answer:
it says the answer s t u v
6
Solve the inequality. Graph the solution.
11.3 > b /4.3
The solution is
Step-by-step explanation:
Multiply to remove the fraction, then set equal to
0 and solve.
Inequality Form:
b<48.59
Interval Notation:
(−∞, 48.59)
The solution of the inequality 11.3 > b /4.3 is b< 48.59 along with the number line.
Given Inequality:
11.3 > b /4.3
To solve the inequality 11.3 > b / 4.3,
Multiply both sides of the inequality by 4.3 to eliminate the fraction:
11.3 * 4.3 > (b / 4.3) * 4.3
48.59 > b
The solution to the inequality is b < 48.59.
This means that any value of b that is less than 48.59 will satisfy the inequality.
To graph the solution, indicate that b is less than 48.59 by using an open circle at 48.59 and shading the line to the left of the open circle to represent all the values that satisfy the inequality.
Learn more about Inequality here:
https://brainly.com/question/20383699
#SPJ6
PLEASE HELP AGAIN!! Max deposited $4,008 in a savings account with simple interest. Four years later, he had earned $641.28 in interest. What was the interest rate?
Answer:
4%
Step-by-step explanation:
For simple interest, the equation is I = PRT, where I is the interest, P is the principal/amount invested, R is the rate as a decimal, not percentage, and T is time in years.
641.28 = (4008)(r)(4)
641.28 = 16,032r
r = 0.04 = 4%
Help me help me help me pls pls pls
Answer:
x = 121
Step-by-step explanation:
all angles sum = 540
87 + 92 + 105 + 135 = 419
540 - 419 = 121
Stephanie accidentally hit a golf ball through her neighbor's square window with a side length of x she needs to buy a new piece of glass to replace the one she broke write a variable expression for the area of the glass piece Stephanie needs to replace remember x is your variable
Answer:the window is square so it's 20*x and then for the next parts it's 400 divided by 100 to get.how.much she can spend which is 4
Step-by-step explanation:
Answer:
x^2 = a
Step-by-step explanation:
Since the window is a square, that means all sides equal to the same thing. If you don't understand; if we look at all the sides you'll see that they all are the same in size. Let's say the number for x is 10. You'd multiply 10 by 10 and get 100 square inches.
x^2 (or x * x) will equal to the area of the square window.
-10=-8+6(w-5) simplify your answer as much as possible
Answer:
i hope this helps
Step-by-step explanation:
-10 = -8+6(w-5) (reorder)
-8+6(w-5) = -10 (add 8 to both sides)
6(w-5) = -2 (divide both sides by 6)
w-5 = -1/3 (add 5 to both sides)
w = 14/3 or 4 2/3
Solve the equation by completing the square.
a2 - 14a - 32 = 0
Answer:
a=16,-2
Step-by-step explanation:
Use the formula (b/2)^2 in order to create a new term. Solve for a by using this term to complete the square.
A student rolls a die 15 times and records the results. This is the first set of data. The same student rolls a different die 15 times
and records the results. This is the second set of data.
What is an appropriate conclusion about the shape of the dot plots?
The attendance at a baseball game was 400 people. Adult seats sold for $15 and children seats sold for $10. Total ticket sales were $4560. How many of each type of ticket were sold?
Answer:
112 adult and 288 children
Step-by-step explanation:
x= adult seats
y= children seats
15x + 10y = 4560
x + y = 400 --> y=400-x
so plug 400-x for y in the other equation
15x + 10(400-x)= 4560
now solve this equation
15x + 10(400-x)= 4560 --> 15x + 4000-10x= 4560 --> 15x -10x = 560 --> 5x=560 --> x = 560/5 --> x= 112
now plug in 112 for this equation (x+y=400) --> 112+y=400 --> y= 288
can anyone help me with #1?
Answer:
x = 16.1 in
Step-by-step explanation:
Using sin law
sin44 / x = sin98/ 23in
x = 16.1 in (nearest tenth)
What is the Y value of solution to the following system? (Substitution)
x=3y+4
3x-5y=8
(This is worth 10 points please help this is due in 15 minutes )
If each cube in the rectangular prism measures 1 cubic inch, what is the volume of the prism?
A.
40 cubic in
B.
168 cubic in
C.
84 cubic in
D.
144 cubic in
hmm, how many cubes are there?
length times width times height
we have 6 cubes long, 6 wide and 6 tall
6*6*6=216 cubes
each is 1 cubic feet
216 times 1=216
216 cubic feet
A is answer
Help
Me ? I’m marking brainlist
Answer: I belive the answer is C
Step-by-step explanation:
please help :) thanks !
Answer:
Step-by-step explanation:
b
Whoever helps me will save my life
HELP ME PLEASE ❗❗❗❗
What is the value of Q3 of the data represented by the box plot?
Enter your answer in the box.
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
:P
What is m∠1?
There is a horizontal line. Point B and D are lies on the line. There is one point C which is joined with point B and D to form a triangle CBD. The angle BCD is 70 degree. The angle CBD is denoted by 2. The supplementary angle of 2 is denoted by angle 1 which is line formed with segment BC. The line formed obtuse angle with CD is 130 degree.
A. 130°
B. 70°
C. 60°
D. 120°
Answer:
i think b
Step-by-step explanation: