Answer:
Shown below.Explanation:
use the formula: n(n+1)/2
where n is the number of nth position
(a)
n(n+1)/2
22(22+1)/2
253
(b)
11(11+1)/2
66
(c)
n(n+1)/2
31(31+1)/2
496
(d)
n(n+1)/2
40(40+1)/2
820
Answer:
a) 253
b) 66
c) 496
d) 820
Step-by-step explanation:
Triangular numbers : pattern of numbers that form equilateral triangles. Each subsequent number in the sequence adds a new row of dots to the triangle.
nth triangular number formula: [tex]T_n=\dfrac{n(n+1)}{2}[/tex]
a) if n = 22
[tex]T_{22}=\dfrac{22(22+1)}{2}=253[/tex]
b) if n = 11
[tex]T_{11}=\dfrac{11(11+1)}{2}=66[/tex]
c) if n = 31
[tex]T_{31}=\dfrac{31(31+1)}{2}=496[/tex]
d) if n = 40
[tex]T_{40}=\dfrac{40(40+1)}{2}=820[/tex]
PLS help!! This is due tomorrow
Answer:
x = 18
Step-by-step explanation:
So there is two ways, but I'm going with the way I remember
1/6 x = 3
1x/6 = 3 multiply by 1
x/6 = 3 then multiply by 6
x = 18
Which is the graph of y = 3sin(x) - 1
Answer:
It should look like the graphs above.
Hope this helps!
Which of the following rational functions is graphed below?
100 POINTS EASY QUESTION
Simplify the polynomial expression.
3x(-2x + 7) - 5(x - 1)(4x - 3)
Answer:
[tex]-26x^2+56x-15[/tex]
Step-by-step explanation:
[tex]3x(-2x + 7) - 5(x - 1)(4x - 3)[/tex]
Expand the brackets:
[tex]\implies -6x^2+21x-5(4x^2-7x+3)[/tex]
[tex]\implies -6x^2+21x-20x^2 +35x-15[/tex]
Collect like terms:
[tex]\implies -6x^2-20x^2+21x +35x-15[/tex]
Combine like terms:
[tex]\implies -26x^2+56x-15[/tex]
Answer:
Step-by-step explanation:
This is late reply. You can try searching online next time you need an answer in a hurry - most questions have been asked before: like here https://brainly.com/question/11412899
3x(-2x + 7) - 5(x - 1)(4x - 3)
= (-6x^2 + 21x) - 5(4x^2- 7x +3)
= -6x^2 + 21x - 20x^2 + 35x - 15
= -26x^2 + 56x -15
>
Graph the linear function y = 5. Plot two points and connect them with a line.
graph of the linear function y = 5 is attached below. which is true for all the values of x.
What is a linear function?a function whose equation is of the form y = ax + b, where a and b are constants, a does not equal zero, and x is any real number, and whose graph is a straight line.
Given a linear function y = 5 here
The graph of that linear function will be a straight line that is attached below.
this function will be the same for all the values of x. since it is not dependent on the variable x
it will pass through points (0, 5), (1, 5), (-6, 5), (5, 5), (-9, 5),.... and so on.
therefore, Below is a graph of the linear function at y = 5. This holds true regardless of x's value.
Learn more about linear functions here:
https://brainly.com/question/20286983
#SPJ2
The perimeter of the triangular park shown in the picture is 13x - 4. You have been given 2 of the 3
sides of the park. What is the missing side length?
Answer:
8x-3
Step-by-step explanation:
I hope it helps you
your car travels 308 miles on 11 gallons of gasoline. how many miles can it travel with 1 gallon of gas
Answer:
28 miles
Step-by-step explanation:
308/11 = 28 miles per gallon of gas
expand this expression
x(2x-3)
Answer:
2x² - 3x
Step-by-step explanation:
multiply the outside with the inside brackets
x × 2x = 2x²
x × (-3) = -3x
Answer:
x(2x-3)
Step-by-step explanation:
x(2x-3)
x times 2x equals 2x².
x times -3 is -3x.
2x²-3x.
A plane can fly 312 miles with the wind in 3 hours, while it takes the same plane 4 hours to fly the same distance against the wind. Find the speed of the plane in still air, and the speed of the wind.
The speed on the plane is 104mph while that of the wind is 78mph
Speed and distancesThe formula for calculating distance is expressed as:
Speed = Distance/Time
If the plane is flying with the wind;
3(r+ w) = 312
r + w = 104 ................... 1
If against the wind
4(r - w )= 312
r- w = 78 .................. 2
Add both equations
2r = 104 + 78
2r = 182
r = 91
Since r + w = 104
w = 104 - 91
w = 13
Speed on the plane = r + w = 91 + 13 = 104mi/hr
Speed on the wind = 91 - 13 = 78mi/hr
Learn more on speed here: https://brainly.com/question/4931057
Please help!
Eleven subtracted from a number
A) 11- x
B) 11x-11
C) C x/11
D) x- 11
Answer:
[tex]x-11[/tex]
Step-by-step explanation:
Let the number be x
Then we have,
x-11
what is the circumference of a circular swimming pool with a diameter of 6 1/2 feet use 22 over 7 for pi
Answer:
20.428571
Step-by-step explanation:
C=(22/7)d
C=(22/7)6.5
C=20.428571
Answer:
20.4285714289
or ≈20.4
Step-by-step explanation:
2*pi*r
radius = diameter/2 = 6.5/2
r=3.25
22/7=3.1428571429
2*3.1428571429*3.25
x2−14x−32=0 What are the roots of the polynomial equation?
Answer:
x= - 8/3
Step-by-step explanation:
1- Multiply the monomials
2- Combine like terms
3- Rearrange variables to the left side of the equation
4- Divide both sides of the equation by the coefficient of the variable
5- Cross out the common factor
HELP MEEEEEEE PLSSSSSS
Step-by-step explanation:
[tex] \frac{1}{2} (11ft + 17ft) \times 12ft \\ \frac{1}{2} \times 28ft \times 12ft \\ divide \: 28 \: by \: 2 \\ 14ft \times 12ft = 168 {ft }^{2} \\ answer = 168 {ft}^{2} [/tex]
Felix can paint a room, working alone, in 8 hours. Sandy can paint the same room, working alone, in 6 hours. How long will it take them if they work together?
whats the answer for this oneeeeeeeeeee
Answer:
1.35
Step-by-step explanation:
the explanation to the question is in the photo I sent
rounding off to the nearest tenth
then the final answer is 1.4
Given the net with dimensions below, find the surface area of the shape.
Answer:
184cm^2
Step-by-step explanation:
(5+5+6) * 10 = 160
6*4 = 24
160+24=184
there are 2 triangles so I am assuming they have the same dimensions
Complete and submit the W4 form using the personal information provided for Addison.
Addison Marie Smith
2222 W. Pine
Anytown, USA 55555
Social Security Number: 222 22 2222
Addison will only have one job, and there is no need to have any additional taxes withheld from her
paycheck.
The steps for completing a W-4 form include the following:
You should provide your information such as name, address, Social Security Number (SSN).You should indicate that Addison has one job only.You should indicate whether or not Addison has dependents.You should state that there is no need to have any additional taxes withheld from Addison's paycheck.You should provide a signature and date.What is a W-4 form?A W-4 form can be defined as an internal revenue service (IRS) tax form which is used to indicate the correct federal income tax that should be withheld from an employee's paycheck in the United States of America.
After an employee fills a W-4 form, it must be submitted to the internal revenue service (IRS) by the employer.
How to complete a W-4 form.Basically, the steps for completing a W-4 form include the following:
Step 1: You should provide your information such as name, address, Social Security Number (SSN).
Name: Addison Marie Smith Address: 2222 W. Pine Anytown, USA.Social Security Number: 222 22 2222Step 2: You should indicate that Addison has one job only.
Step 3: You should indicate whether or not Addison has dependents.
Step 4: You should state that there is no need to have any additional taxes withheld from Addison's paycheck.
Step 5: You should provide a signature and date.
Read more on W-4 form here: https://brainly.com/question/15507745
rewrite the equation without the exponent
3^-4
[tex]3^{-4}=\dfrac{1}{3^4} =\dfrac{1}{81}[/tex]
I need help anything can help idc honestly
Answer:
s=sqrt(60) => the second one is the correct answer.
Step-by-step explanation:
It’s given that A=60.
Formula: A=s^2.
=> s=sqrt(A)=sqrt(60)
The equatin of line AB is y = 2x + 4. What is the equation of a line parallel to line AB in slope-intercept form that contains the point (3, -2)2
Answer:
Step-by-step explanation:
Parallel lines have the same slope, so if the slope of the given line is 2, the slope of the "new" line is also 2, and the slope-intercept equation becomes:
y = 2x + b.
Here you seem to have a "misprint," as "(3, -2)2 is not a valid expresion.
Supposing that y ou meant (3, -2), then our equation becomes
-2 = 2(3) + b, or -8 = b.
The desired equation is then y = 2x - 8
If this is not what you expected, please focus on your (3, -2)2 and rewrite it properly.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
4 X 3= 12
6 X 3= 18
Please mark as Brainliest
Answer:
12
Step-by-step explanation:
View the question mark as x then cross multiply
18×4= 6×x
72= 6x
x is 12
Josan and Adamas want to play a video game together. Their parents let them earn credits for video game time by reading books.
Josan's credits are each worth 5
5
minutes of play, and Adamas's credits are each worth 10
10
minutes of play. Josan also starts each day with 6
6
free credits, and she has already used 10
10
minutes of her video game time.
They each want to earn enough credits so that they will have the same number of minutes to play video games.
Which equation will solve for the number of credits,
z
, they must earn to have the same amount of play time?
Both Josan and Adama must have to earn 6 credits for they to have the same amount of play time.
EquationAn equation is an expression used to show the relationship between two or more numbers and variables.
Let z represent the number of credits they must earn to have the same amount of play time. Hence:
5z + 6(5) = 10z
5z = 30
z = 6
Both Josan and Adama must have to earn 6 credits for they to have the same amount of play time.
Find out more on Equation at: https://brainly.com/question/2972832
Answer:
5(z+6) − 10=10z
Step-by-step explanation:
Please answer with clear instructions so that i can apply this to other questions.
Answer:
10 terms
Step-by-step explanation:
equate the sum formula to 55 and solve for n
[tex]\frac{1}{2}[/tex] n(n + 1) = 55 ( multiply both sides by 2 to clear the fraction )
n(n + 1) = 110 ← distribute parenthesis on left side
n² + n = 110 ( subtract 110 from both sides )
n² + n - 110 = 0 ← in standard form
Consider the factors of the constant term (- 110) which sum to give the coefficient of the n- term (+ 1)
the factors are + 11 and - 10 , since
11 × - 10 = - 110 and 11 - 10 = + 1 , then
(n + 11)(n - 10) = 0 ← in factored form
equate each factor to zero and solve for n
n + 11 = 0 ⇒ n = - 11
n - 10 = 0 ⇒ n = 10
However, n > 0 , then n = 10
number of terms which sum to 55 is 10
I DONT GET THIS!!!!
QUESTION HERE : IN 140 CHARACTERS. OR LESS CREATE. A
TWEET. ABOUT WHAT INTELLIGENCEIS OR
MEANS TO YOU. THE GRID BELOW CAN BE USED TO MAKE SURE YOU DONT GO OVER 140 CHARACTERS.
Answer:
you just have to calm down and search it online it helps sometimes
Find the 12th term of the geometric sequence 2, -8, 32, ...
The 12th term of the given geometric sequence is equal to -8,388,608.
Given the following sequence:
2, -8, 32, ...What is a geometric sequence?A geometric sequence can be defined as a series of real and natural numbers that are generally calculated by multiplying the next number by the same number each time.
Mathematically, a geometric sequence is given by the expression:
[tex]a_n =a_1r^{n-1}[/tex]
Where:
r is the common ratio.a is the first term of a geometric sequence.Substituting the given parameters into the formula, we have;
[tex]a_{12} =2 \times -4^{12-1}\\\\a_{12} =2 \times -4^{11}\\\\a_{12} =2 \times -4194304[/tex]
12th term = -8,388,608.
Read more on geometric sequence here: brainly.com/question/12630565
Which statements about the graph of the function f(x) = –x2 – 4x 2 are true? Select three options.
The domain of the function is the real number and the range of the function is (-∞, 6].
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The function f(x) = -x² - 4x + 2
The function can be written as
[tex]\rm f(x) = -x^2- 4x +2\\\\f(x) = -x^{2}- 4x - 4 + 4 +2 \\\\f(x) = -(x^{2} +4x +4) + 6\\\\f(x) = -(x+ 2)^2 + 6[/tex]
The domain is the real number and the range is (-∞, 6].
More about the function link is given below.
https://brainly.com/question/5245372
2. At a school shop, pens are sold at dallars each and ruler at y dollars each. Mr. James bought 4 pens and 5 rulers for $20. Mr. Pike bought 2 of the same pens and 4 of the same ruler for $16 a. Write two equations in and y to represent the information given above. b. Solve the equations
Help pleaseee :)
Answer:
x = 0, y = 4
Step-by-step explanation:
1 pen = x dollars
4 pen = 4x
1 ruler = y dollars
5 rulers = 5y
now,
a) = 5y + 4x = 20
2x + 4y = 16
Now,
2x + 4y = 16
or, 2x = 16 - 4y
or, x = (16 - 4y)/2
Now,
5y + 4x = 20
or, 5y + 4{(16 - 4y)/2} = 20
or, (10y + 64 - 16y) = 40
or, 64 - 6y = 40
or, 64 - 40 = 6y
or, 6y = 24
so, y = 4
now,
x = (16 - 4(4))/2
or, x =(16 - 16)/2
so, x = 0
Solve for h.
10 = 2h
6. An ant travels at a constant rate of 30 cm every 2 minutes.-
a. At what pace does the ant travel per centimeter?
b. At what speed does the ant travel per minute?
(From Unit 2, Lesson 18.)
A:
4 seconds per centimer:
30cms 15 cms
---------------- -------------
2 minutes 1 minute
1 minute= 60 seconds
15 cms 1cm
----------------- = ----------------
60 seconds 4seconds
B: 15 cms per minute
30cms/2minutes
(divide by 2 to get speed for one minute)
15cm/1 minute
the surface area of a pyramid is 85 square meters the side length of the base is 5 meters what is the slant height
Answer:
6 meters
Step-by-step explanation:
[tex]A=a^2+2a\sqrt{\frac{a^2}{4}+h^2} [/tex]is the formula that you use
h=vertical altitude and
a=side length of the base
[tex]85=5^2+(2*5)\sqrt{\frac{25}{4}+h^2}[/tex]
[tex]85-25=10\sqrt{\frac{25}{4}+h^2}[/tex]
[tex]\frac{60}{10}=\sqrt{\frac{25}{4}+h^2}[/tex]
[tex]6=\sqrt{\frac{25}{4}+h^2}[/tex]
[tex]36=\frac{25}{4}+h^2[/tex]
[tex]36-\frac{25}{4}=h^2[/tex]
[tex]36-6.25=h^2[/tex]
[tex]29.75=h^2[/tex]
Vertical altitude (h) and [tex]\frac{1}{2}a[/tex] and the slant height form a right triangle with the slant height being the hypotenuse
[tex]h^2+(2.5)^2=s^2 [/tex]where s=slant height
[tex]29.75+6.25=s^2[/tex]
[tex]36=s^2[/tex]
s=6 meters
Answer:
slant height = 6 meters
Step-by-step explanation:
surface area of pyramid: 2bs + b²
2*5*s + 5² = 85
10s = 85 - 25
10s = 60
s = 6
The slant height is 6 meters.