Is the variable y considered a monomial?
Guys please help me out ASAP, Due today. I
In an arithmetic sequence Sn = n² - 2n.
Use your formula in 2c to determine the value of
(a) T7 =
(b) Tn=
The formula in 2c : Sn - Sn-1 =Tn
Answer:
[tex]T_7 = 11[/tex]
[tex]T_n = 2n- 3[/tex]
Step-by-step explanation:
Given
[tex]S_n = n^2 -2n[/tex]
[tex]T_n = S_n - S_{n-1}[/tex]
Solving (a): T7
Substitute 7 for n in [tex]T_n = S_n - S_{n-1}[/tex]
[tex]T_7 = S_7 - S_{7-1}[/tex]
[tex]T_7 = S_7 - S_6[/tex]
Calculate S7 and S6
[tex]S_n = n^2 -2n[/tex]
[tex]S_7 = 7^2 - 2 * 7 = 35[/tex]
[tex]S_6 = 6^2 - 2 * 6 = 24[/tex]
So:
[tex]T_7 = 35 -24[/tex]
[tex]T_7 = 11[/tex]
Solving (b): Tn
[tex]T_n = S_n - S_{n-1}[/tex]
Where [tex]S_n = n^2 -2n[/tex]
Calculate[tex]S_{n-1}[/tex]
We have:
[tex]S_{n-1} =(n-1)^2 - 2(n-1)[/tex]
Open brackets
[tex]S_{n-1} = n^2 -2n + 1 -2n +2[/tex]
[tex]S_{n-1} = n^2 -2n-2n + 1 +2[/tex]
[tex]S_{n-1} = n^2 -4n + 3[/tex]
So:
[tex]T_n = S_n - S_{n-1}[/tex]
[tex]T_n = n^2 - 2n - (n^2 -4n + 3)[/tex]
[tex]T_n = n^2 - 2n - n^2 +4n - 3[/tex]
Collect Like Terms
[tex]T_n = n^2 - n^2- 2n +4n - 3[/tex]
[tex]T_n = 2n- 3[/tex]
What is the lateral surface area?
Answer:
The lateral surface of an object is all of the sides of the object, excluding its base and top. The lateral surface area is the area of the lateral surface
Step-by-step explanation:
Find the following F distribution values from Table 4 of Appendix B.
Which of the following is a solution to 10x^2-x=3?
Answer:
g
Step-by-step explanation:
only number 4, and please include the working. also do it with the substitution method not elimination or any other.
Answer:
x = -2 and y = 1
Step-by-step explanation:
→ Rearrange x - y = -3 to make y the subject
-y = - x - 3 so y = x + 3
→ Substitute into 2x + y = -3
2x + x + 3 = -3
→ Simplify
3x + 3 = -3
→ Minus 3 from both sides
3x = -6
→ Divide both sides by 3
x = -2
→ Substitute x value into first equation
-4 + y = -3
→ Add -4 to both sides
y = 1
You need 25 pounds of potatoes. If each potato weighs 5 ounces, how many potatoes will you need?
Answer:
80 potatoes
Step-by-step explanation:
Find the point on the line 2x+6y+1=0 which is closest to the point (-5,-3)
Answer:
(-1.875, -1.625)
Step-by-step explanation:
We want to find the point on the equation 2*x + 6*y + 1 = 0 which is closest to the point (-5, -3)
Remember that the distance between two points (a, b) and (c, d) is:
D = √( (a - c)^2 + (b - d)^2)
First we can write our equation as a line in the slope intercept form:
y = -(2/6)*x - 1
Now we could minimize the equation:
D = √( (x - (-5))^2 + (y - (-3))^2) = √( (x + 5)^2 + (y + 3)^2)
D = √( ( x + 5)^2 + ( -(2/6)*x - 1 + 3) ^2)
Then we can minimize:
D^2 = (x + 5)^2 + ( -(2/6)*x + 2)^2
= x^2 + 10*x + 25 + (4/36)*x^2 - (8/6)*x + 4
= (1 + 4/36)*x^2 + (10 - 8/6)*x + 29
= (40/36)*x^2 + (52/6)*x + 29
This is a quadratic equation whose leading coefficient is positive, then the minimum of this equation is at the vertex.
The vertex is at the x-value such that (D^2)' = 0
Then:
(D^2)' = 2*(40/36)*x + (52/6)
This needs to be zero then:
0 = 2*(40/36)*x + (52/6)
-52/6 = (80/36)*x
(-52/6)*(36/80) = x
-1.875 = x
And the y-value when x = -1.875 is:
y = -(2/6)*-1.875 - 1
y = -1.625
Then the point on the line 2x+6y+1=0 that is closest to (-5,-3) is the point (-1.875, -1.625)
Can someone help me with these questions and show work please and thank you
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
FIND THE ERROR: Chun and Traci are determining the value of x in the figure. Chun says to find the value of x, solve the proportion = 1, but
Treci says to find the value of 1, the proportion is should be solved. Is either of them correct? Explain your reasoning
9514 1404 393
Answer:
Chun is correct
Step-by-step explanation:
The angle bisector divides the sides of the triangle proportionally. Any proportion that is written should equate ratios of corresponding sides.
Chun's proportion correctly relates the top-side measures to their corresponding bottom-side measures:
top short : bottom short = top long : bottom long
5 / 8 = 15 / x
__
Traci's error is that she mixes top-side and bottom-side measures. Her incorrect relation is ...
top short : bottom long = bottom short : top long
She has used top:bottom for short measures and bottom:top for long measures. This mixing will give Traci an incorrect solution.
__
Chun's proportion correctly gives x=24.
Answer:
Step-by-step explanation:
Chun; by the Triangle Angle Bisector Theorem, the correct proportion is 58=15x.
9x-6y=-12 and -2x+3y=-4 by elimination
Answer:
x = 4, y = 4 or you can say (4, 4)
WILL GIVE BRAINLIEST!!! As part of an offseason training program, the Lane Tech cross county team must sprint up a ramp with a 28% grade. To the nearest degree, what angle does with ramp make with the ground?
Answer:
20%
Step-by-step explanation:
WILL GIVE BRAINLST
HAVE A GOOD DAY
Answer:
6.633249581 and I would say it's irrational
Step-by-step explanation:
:)
kennedy has 12 apple. togethe, she and Ariana have 42 apple. which diagram represents best represents the situation where A is the amount of apples that Ariana has?
Uhm... I’m sorry I don’t really know the answer to your question I’m just answering it for points....
A ABD ZA FEC
F
63°
14
12
G
5.7
72
559
B
os
8
D
10
E
What is
тДFCE,
Enter your answer in the box.
Answer:
m<FCE = 45°
Step-by-step explanation:
Given that ∆ABD ≅ ∆FEC, therefore,
<A ≅ <F
<B ≅ <E
<ADB ≅ <FCE
m<ADB = 45°
Therefore,
m<ADB = m<FCE = 45°
m<FCE = 45°
Given Angle TOP equals 38 degrees, QOR equals 82 degrees and angle SOR equals 98 degrees, find the measure of QOT
Answer:
98 since vertical angels have same angles
Step-by-step explanation:
Carlotta has 2/3 of a bag of dog food. She gives her dog 2/9 of the bag at each feeding. How many times can she feed her dog with what is left in this bag of dog food?
A. 3
B. 4
C. 18
D. 27
Answer:
27
Step-by-step explanation:
Carlotta can feed 3 times her dog with leftover in this bag of dog food
What is the unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE have been given that Carlotta has 2/3 of a bag of dog food and She gives her dog 2/9 of the bag at each feeding.
The bag of dog food = 2/3
Let she feed her dog with leftover in this bag of dog food = X
Therefore, X = 2/3 × 9/2
X = 18 / 6
X = 3
Hence, Carlotta can feed 3 times her dog with leftover in this bag of dog food
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ5
Help pls and explain how you got your answer pls!!!
a company is painting the exterior walls of a warehouse. Find the lateral surface area of the walls in square feet.
Answer:
Step-by-step explanation:
help me The science teacher brought a goldfish to her room at school. A total of 36 students voted on the name of the goldfish. The results of the vote are shown in the circle graph.
A circle graph with three sections is shown. The sections are labeled: Goldy, sixty degrees, Slinky, one hundred twenty degrees, Finny, one hundred eighty degrees.
A person on a moving sidewalk travels 6 feet in 3 seconds. The moving sidewalk has a length of 60 feet. How long will it take to move from one end of the sidewalk to the other?
Answer:
Speed = distance / time
= 6/3 =2 ft/sec
Time = distance / speed
= 60/2
= 30 seconds
The order pair for the equation y =2x+3(-1----)
Answer:
Y=-1
Step-by-step explanation:
2(-1)+3=y
-2+3= -1
answer this pls !!!!?!?!??!
Answer:
A
Step-by-step explanation:
Victoria is going to a carnival that has games and rides. Each game costs $2 and each ride costs $4. Victoria spent $16 altogether on 6 games and rides. Graphically solve a system of equations in order to determine the number of games Victoria played, x,x, and the number of rides Victoria went on, yy.
Answer:
2 rides & 4 games
Step-by-step explanation:
2 rides=$8
4 games=$8
8+8=$16
Point (4,2), represents that Victoria played 4 games (x = 4) and went on 2 rides (y = 2).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The number of games Victoria played, x, and the number of rides Victoria went on, y.
Each game costs $2 and each ride costs $4, so we can set up the following system of equations:
2x + 4y = 16
x + y = 6
To graphically solve this system of equations, we can plot the equations on the same coordinate plane and find the point where they intersect. This point will represent the values of x and y that satisfy both equations.
To plot the equations, we can first graph the equation 2x + 4y = 16.
The slope is 2 and the y-intercept is 4, so we can plot the line by starting at the point (0,4) and moving 2 units up and 1 unit to the right to find the next point on the line.
We can then connect this point to the first point with a straight line to complete the graph of the equation.
Next, we can graph the equation x + y = 6 similarly.
The point will represent the values of x and y that satisfy both equations.
In this case, we can see that the lines intersect at point (4,2), which means that Victoria played 4 games (x = 4) and went on 2 rides (y = 2).
Learn more about the graphs here:
brainly.com/question/16608196
#SPJ2
1. Solve. Draw a rectangular fraction to explain your thinking. Then, write a number sentence.
1/3 of 3/7
2. In a cookie jar, 1/4 of the cookies are chocolate chip, and 1/2 of the rest of the are peanut butter?
9514 1404 393
Answer:
1. 1/3 × 3/7 = 1/7
2. 1/2×(1 -1/4) = 3/8
Step-by-step explanation:
Attached is my attempt at the required drawings. Yours may be different, based on the methods used by your teacher.
6 triangles and 10 squares what is the simplest ratio of triangles to squares?
Answer:
3:5
Step-by-step explanation:
To find the simplest ratio, divide each number by 2:
6/2
= 3
10/2
= 5
So, the simplest ratio of triangles to squares is 3:5
please help me please brainliest
Answer:19
Step-by-step explanation:perimeter is everything added since it’s a rectangle 10 on both length sides will be 20 so 58-20 is 38 divide that by 2 and that’s your answer.
A sphere has a volume of 36 pi in 3rd power. Find the radius of the sphere. Use 3.14 for pi.
Answer:
3 inches
Step-by-step explanation:
1. Volume of a sphere
V = 4/3πr^3
2. Plug in numbers
V = 36π
r = ?
36π = 4/3πr^3
27=r^3
[tex]r=\sqrt[3]{27}[/tex]
r = 3
I need help with this
What is a characteristic of people who live in a nation-state?
Answer:
Ethnically diverse people loving in the same area
Which value of x makes this equation true?
-8(x+5) = -3x - 7+ X-3
A. = 7 1/2
B. X=-5
c. X = 1 1/4
D. X= 12
Answer:
B: x = -5
Step-by-step explanation: