Use the explicit formula an = a1 + (n-1)•d to find the 500th term of the sequence below.
24, 31, 38, 45, 52, ...
Answers
Step-by-step explanation:
the answer is in the image above
Answer:
a₅₀₀ = 3517
Step-by-step explanation:
a₁ represents the first term and d the common difference
Here a₁ = 24 and d = 31 - 24 = 7 , then
a₅₀₀ = 24 + (499 × 7) = 24 + 3493 = 3517
Related Questions
Help me or i will kill Shrek!
Answers
Answer:
pls dont kill my dad.. i cant help but please. hes the only thing i have left man
Step-by-step explanation:
i would so help if i could but i just really dont want shrek dead
tujuh di kali tujuh sama dengan?
Answers
Answer:
49Step-by-step explanation:
➡️ Pertanyaan:
7 × 7
➡️ Penyelesaian:
7 × 7
49 ✅
[tex] \: [/tex]
Answer:
49
[tex] \: \: \: \: \: \: \: \: [/tex]
1/7 divided by 2/5 minus 1/7
Answers
5/14 minus 1/7 is 3/14
What is the common solution for the equations y = 3x + 1 and y = x + 3? Write your answer an ordered pair!
Answers
Answer:
(1,4)
Step-by-step explanation:
Hi there!
We're given the system:
y=3x+1
y=x+3
We need to find the common solution (the point at which the lines intersect); we do this by finding the value of the variables.
Let's start with x
Since both equations equal y, we can make 3x+1 and x+3 equal to each other, because of a property known as transitivity (if a=b and b=c, then a=c)
3x+1=x+3
subtract 1 from both sides
3x=x+2
subtract x from both sides
2x=2
divide both sides by 2
x=1
we found the value of x
now we need to find the value of y
We do this by plugging x as 1 into either one of the equations to solve for y
let's use y=x+3 for example
substitute x as 1
y=1+3
add
y=4
we found the value of y.
Your question asks for the answer to be written as an ordered pair, which will be (1,4)
Hope this helps!
Answer:
(1, 4 )
Step-by-step explanation:
Given the 2 equations
y = 3x + 1 → (1)
y = x + 3 → (2)
Substitute y = 3x + 1 into (2)
3x + 1 = x + 3 ( subtract x from both sides )
2x + 1 = 3 ( subtract 1 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (2)
y = 1 + 3 = 4
solution is (1, 4 )
Solve for n.
11(n – 1) + 35 = 3n
Answers
Answer:
n = -3
Step-by-step explanation:
11(n – 1) + 35 = 3n
Distribute
11n -11 +35 = 3n
Combine like terms
11n +24 = 3n
Subtract 11n from each side
11n+24 -11n = 3n -11n
24 = -8n
Divide by -8
24/-8 = -8n=-8
-3 =n
Step 1: Rewrite equation
11(n-1)+35=3n
Step 2: Distribute
To distribute, you need to multiply the numbers on the outside of the parentheses with the numbers on the inside. To do so, you need to multiple 11•n and 11•-1.
11(n-1)+35=3n
11n-11+35=3n
Step 3: Combine like terms
“Like terms” are numbers that share the same variable, or lack of. To start, you must only combine like terms on the same side of the equation. In this case, the like terms are -11 and 35. Add these to combine like terms.
11n-11+35=3n
11n+24=3n
Step 4: Put variables on one side
It is important to keep variables on one side of the equation, and the constants on the other. To do so, we need to subtract 11n on both sides.
11n+24=3n
24=-8n
Step 5: Get n alone
In this final step, we need to get n alone to solve for the variable. To do so, we need to get rid of the -8 next to it. We can do this by diving 24 by -8 and diving -8n by -8.
24=-8n
-3=n
This is your final answer: 3=n. Hope this helps! Comment below for more questions.
A car is moving at a rate of 72 km/hr. How far does the car move when it stops after 4 seconds? anwer is 125m
please help me to solve it .l have been stuck here in this question for 2hrs.i am new and l need ur help
Answers
Help pleaseeee I need it ASAP
Answers
Answer:
Option D:Diagonals of a square bisect each other
Step-by-step explanation:
The diagonals of a square are equal and bisect each other at right angles and making the bisected parts equal.
I know
Which of the following is an irrational number?
Answers
√108 is an irrational number among following
Answer:
The first number
He second is a rational decimal number and the third equals to 8.
Marcos decide abrir una cuenta de ahorro para financiar en el futuro los estudios de su hijo recien nacido. Por suerte, el banco le ofrecio la tasa de interes anual de 4,8%. El monto que deposito Marcos en la cuenta fue de $1000 000.Si no retira el dinero ni los intereses, ¿que capital tendra a los 5 años? ¿que capital tendra cuando su hijo cumpla 18 años?
Answers
Answer:
Resultados debajo
Step-by-step explanation:
Dada la siguiente información:
Tasa de interes anual (i)= 4,8%
Inversión inicial (VP)= $1.000.000
Para calcular el valor final (VF), debemos usar la siguiente formula:
VF= VP*(1 + i)^n
Para 5 años:
VF= 1.000.000*(1,048^5)
VF= $1.264.172,72
Para 18 años:
VF= 1.000.000*(1,048^18)
VF= $2.325.429,02
1
Select the correct answer from each drop-down menu.
The function () = 13 has been transformed, resulting in function h.
h(t) = -(1 + 2)2 – 4
To create function h, function fwas translated 2 units
„. translated 4 units
and reflected across the
Answers
Answer:
To create function h, function f was translated 2 units right , translated 4 units up and reflected across the x axis
Step-by-step explanation:
Given
[tex]f(x) = x^3[/tex]
[tex]h(x) =-(x + 2)^3 - 4[/tex]
Required
Complete chart
First: f(x) was translated right by 2 units
The rule of right translation is [tex](x,y) \to (x + 2,y)[/tex]
So, we have:
[tex]f'(x) = f(x + 2)[/tex]
[tex]f'(x) = (x + 2)^3[/tex]
Next: f'(x) was translated up by 4 units
The rule of down translation is [tex](x,y) \to (x,y+4)[/tex]
So, we have:
[tex]f"(x) = f'(x) +4[/tex]
[tex]f"(x) = (x + 2)^3 +4[/tex]
Lastly, f"(x) was reflected across the x-axis;
The rule of this reflection is: [tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]h(x) = -f"(x)[/tex]
[tex]h(x) = -[(x+2)^3 + 4][/tex]
Remove bracket
[tex]h(x) = -(x+2)^3 - 4[/tex]
Help me asp thank you
Answers
Answer:
23 - ( 9 - 5 )²
= 23 - (4 )²
= 23 - 16
= 7
hope it is helpful to you ☺️
8(2x + 3y)
In distributive property
Answers
Answer:
16x+24y
Step-by-step explanation:
8(2x+3y)
8*2x+8*3y
16x+24y
8(2x) + 8(3y)
plz help me I will give u branist and follow u and also give u like plz help me
Answers
Answer:
hi the answer is the first option, value assigned by the incorporation documents
please give brainliest
Is -2 a solution to 4x^(3)-x^(2)+16x-4
Answers
Answer:
Not a solution
Step-by-step explanation:
In order for [tex]x=-2[/tex] to be a solution, the result after substituting must be 0:
[tex]4(-2)^3-(-2)^2+16(-2)-4\stackrel{?}{=}0[/tex]
[tex]4(-8)-4-32-4\stackrel{?}{=}0[/tex]
[tex]-32-40\stackrel{?}{=}0[/tex]
[tex]-72\neq0[/tex]
Therefore, [tex]x=-2[/tex] is not a solution to [tex]4x^3-x^2+16x-4[/tex]
i need the base and hight
Answers
Answer:
Height = 5 and Base = 10
Step-by-step explanation:
The base of the parallelogram is twice the perpendicular height of the parallelogram. The area of the parallelogram is 50 cm².
Formula for area of parallelogram = base × height
Base = 2h
Height = h
∴ Area = 2h × h = 50
Solution:
2h × h = 50
2h² = 50
[tex]\frac{2h^{2} }{2} = \frac{50}{2}[/tex]
h² = 25
[tex]\sqrt{h^{2} } = \sqrt{25}[/tex]
h = 5
∴ height = 5 and base = 2(5) = 10
Express y in terms of x in the equation =
Answers
Answer:
y = 3/2x + 5
Step-by-step explanation:
2y - 3x - 10 = 0
2y = 3x + 10
y = 3/2x + 5
Quick, What is the value of x?
A. 2
B. 3
C. 6
D. 7
Answers
Answer:
Im pretty sure the answer is b using the formula
Evaluate each of the following expression giving the answer in scientific notation
Answers
Answer:
Step-by-step explanation:
[tex]A) 5.3*10^{4}+4.7*10^{4}= (5.3 + 4.7)*10^{4}=10*10^{4}=10^{5}\\\\\\B) 3.7*10^{6} - 3.3*10^{6}=(3.7-3.3)*10^{6}=0.4*10^{6}=4.0*10^{-1}*10^{6}=4.0*10^{6-1}=4.0*10^{5}\\\\\\C) 4.8*10^{-3}+6.3^{-2}=4.8*10^{-2}*10^{-1}+6.3*10^{-2}\\\\=(4.8*10^{-1} +6.3)*10^{-2}\\\\=(0.48+6.3)*10^{-2}\\\\=6.78*10^{-2}\\\\\\D)6.6*10^{-5}-6.1*10^{-4}=6.6*10^{-1}*10^{-4}-6.1*10^{-4}\\\\=(6.6*10^{-1}-6.1)*10^{-4}\\\\=(0.66-6.1)*10^{-4}\\\\= (-5.44)*10^{-4}[/tex]
In parallelogram LMNP if PQ=21 find QM.
Answers
Answer:
QM = 21
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
QM = PQ = 21
Without solving, determine the number of
solutions to 3x2 + 5x + 2 = -8. Show your work.
Answers
Answer:
2 solutions for this equation because the highest power is 2
TIME REMAINING
57:18
A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0).
What is the equation of the directrix?
x=−4
y=−4
x=4
y=4
Answers
A survey was done to determine the relationship between gender and subject preference. A total of
56 students were surveyed to determine if they liked math, English, social studies, or science as their
favorite subject. The results were then broken down based on whether the respondent was male or
female.
Answers
The question is incomplete. The complete question is :
A survey was done to determine the relationship between gender and subject preference. A total of 56 students were surveyed to determine if they liked math, English, social studies, or science as their favorite subject. The results were then broken down based on whether the respondent was male or female.
Which of the following is the closest to the joint relative frequency of being a male who likes social studies ?
Solution :
A two way table used in statistics and mathematics is used to show the frequencies or the relative frequencies for any two categorical variables. One of the category is represented by the rows while the other categories by a column.
Here, in this table it is given that the total surveyed = 56 students
From the table, we know that number of males who likes social studies = 8
Therefore, the closest to the joint relative frequency for being a male who likes the subject social studies is given by :
[tex]$=\frac{8}{56}$[/tex]
[tex]$=\frac{1}{7}$[/tex]
=0.14
Which of the following is a point-slope equation for a line with the point
(-2,4) and a slope of 3?
A. y - 4 = 3(x - 2)
B. y - 4 = 3(x+2)
C. y-2 = 3(x-4)
D. Y + 2 = 3(x-4)
Please answer asap
Answers
Answer:
B
Step-by-step explanation:
point-slope formula: y-y1 = m(x-x1)
y1 = 4 ; x1 = -2 ; m (slope) = 3
plugging it in to the formula, you get y-4 = 3(x-(-2)
then you get y-4 = 3(x+2)
Jason and Donny painted a house and received $1.200. To complete the painting job Jason painted 4 hours 25 minutes and Donny spent 2 hours and 15 minutes. If they split the $1.200 in proportion to the amount of time each spent painting, how much did Donny receive?
Answers
Answer:
$405
Step-by-step explanation:
Total hours = 4 hrs 25 min + 2 hrs 15 min = 6 hrs 40 min = 400 min
4 hrs 25 min = 265 minutes
2 hrs 15 min = 135 min
Donny's share = [tex]\frac{135}{400} of 1200[/tex]
[tex]=\frac{135}{400}*1200=135*3\\\\= 405[/tex]
Kayla had m marbles. She gave 4 marbles to her cousin. Enter an expression to represent the number of marbles Kayla has now.
Answers
Answer:
[tex]m-4\\[/tex]
Step-by-step explanation:
[tex]m-4[/tex]
the average length of string a and string d is 10x cm . the average length of string b and string c is 8x cm . the average length of string b , c, d is 6x cm . find the length of string a is terms of x
Answers
Answer:
a= 18x
Step-by-step explanation:
(a+d)/2 = 10x (1)
(b +c)/2 = 8x (2)
(b+c+d)/3 = 6x (3)
From the equation 2, we have (b+c)= 8x *2 = 16x
From the equation 3, we have d= 6x*3 - (b+c)= 18x- 16x = 2x
From the equation 1, we have a= 10x*2 -d= 20x - 2x= 18x
On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, 3) and (4, 3). Line C D goes through (negative 3, 0) and (3, 2). Line F G goes through (negative 3, negative 1) and (3, negative 3). Line H J goes through (negative 1, negative 4) and (1, 2).
Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y-intercept at (0, 3)?
line AB
line CD
line FG
line HJ
Answers
Answer:
fg
ur welcome and im out
Step-by-step explanation:
Nintendo is interested in the gaming experience of players for their new Mario Kart game . What type of survey should they use to gather the data?
Answers
Answer:
Online surveys
Explanation:
Online surveys will be the most suitable survey type here to gather gamers' experience with Nintendo's new game. Also being the most common and convenient type of surveys nowadays, online surveys are very much flexible and can be tailored to suit any audience, and even has a broader audience. Nintendo can use online surveys here to gather user's(all over the world) experience through their website, emailed to people directly etc. There is even a wider reach now considering the popular use of mobile devices.
Yesterday, Janie walked 3
5
mile to a friend’s house, 1
4
mile to the store, and 3
8
mile to another friend’s house. Which is the best estimate of the distance Janie walked?
Three-fourthsmile
1 mile
1 and one-fourthmiles
2 miles
Answers
Answer:
1 and one-fourthmiles
Step-by-step explanation:
Answer:
C. 1 1/4
Step-by-step explanation:
i did the question
what is the surface area of the cylinder with the hight of 8 ft and the radius of 6 ft? round your answer to the nearest thousandths
Answers
Answer:
A = 301.593 ft^2
Step-by-step explanation:
The lateral area of a cylinder of radius r and height h is
A = 2πrh. This does not include the areas of the ends of the cylinder.
Here that area is A = 2(3.14159)(6 ft)(8 ft), or
A = 301.593 ft^2