Could someone please help me with this? I would mark you as Brainliest:)
Answer:
a) The table of values represents the ordered pairs formed by the elements of the sequence ([tex]a_{i}[/tex]) (range) and their respective indexes ([tex]i[/tex]) (domain):
[tex]i[/tex] [tex]a_{i}[/tex]
1 6
2 11
3 16
4 21
5 26
b) The algebraic expression for the general term of the sequence is [tex]a(i) = 6 + 5\cdot (i - 1)[/tex].
c) The 25th term in the sequence is 126.
Step-by-step explanation:
a) Make a table of values for the sequence 6, 11, 16, 21, 26, ...
The table of values represents the ordered pairs formed by the elements of the sequence ([tex]a_{i}[/tex]) (range) and their respective indexes ([tex]i[/tex]) (domain):
[tex]i[/tex] [tex]a_{i}[/tex]
1 6
2 11
3 16
4 21
5 26
b) Based on the table of values, we notice a constant difference between two consecutive elements of the sequence, a characteristic of arithmetic series, whose form is:
[tex]a(i) = a_{1} + r\cdot (i - 1)[/tex] (1)
Where:
[tex]a_{1}[/tex] - First element of the sequence.
[tex]r[/tex] - Arithmetic difference.
[tex]i[/tex] - Index.
If we know that [tex]a_{1} = 6[/tex] and [tex]r = 5[/tex], then the algebraic expression for the general term of the sequence is:
[tex]a(i) = 6 + 5\cdot (i - 1)[/tex]
c) If we know that [tex]a(i) = 6 + 5\cdot (i - 1)[/tex] and [tex]i = 25[/tex], then the 25th term in the sequence is:
[tex]a(25) = 6 + 5\cdot (25 - 1)[/tex]
[tex]a(25) = 126[/tex]
The 25th term in the sequence is 126.
Which figures below are similar?
1 and 2
2 and 3
2 and 4
1 and 4
Answer:
I think it is 1 and 4 :))
Step-by-step explanation:
I hope so it will helpful for u
Answer:
Its 1 and 4
Step-by-step explanation:
I did the quiz
A city's population is 58,000 and is decreasing at an annual rate of 2%.
Identify an equation that models the estimated population after t years.
O A) y = 58,000(2)
OB) y = 0.02x + 58,000
O C) y = 58,000(0.98)'
OD) y = 58,000(1.02)
Answer:
Choice C
y = 58,000(0.98)
please answer this question
Answer:
28 cm
Step-by-step explanation:
volume of a rectangle: l*w*h
the first cuboid: 7*4*2= 56
56=2*1*y
56=2y
28=y
Answer:
28cm
Step-by-step explanation:
Since the two cuboids have the same volume, we use the volume of cuboid one to find the length of side y,
Volume of a cuboid = [tex]length * breadth * height[/tex]
Volume of the cuboid with all sides given is = 7 * 4 * 2 = 56cm cubed.
Now we use that volume to calculate the length y,
56 = 1 * 2 * y
56 = 2y
y = 56/2
y = 28cm
HELPPP PLEASE!!!!!! Which shows how to determine the volume of the pyramid?
Answer:
A- ⅓(12)(8)(10
Step-by-step explanation:
Volume of a pyramid is ⅓length×width×height
Y'ALL PLEASE PLEASE PLEASE HELP ME I *REALLY* NEED HELP!!!!
all links will be deleted!
The two triangles shown are congruent: ΔABC ≅ ΔXYZ. Based on this information, which of the following is a true statement? Question options:
A)
∠B ≅ ∠Z
B)
∠A ≅ ∠Y
C) ≅
D)
Answer:
AB XY
Step-by-step explanation:
They are congruent side angles
Pls help I’ll give brainliest
Which of these situations give a description of an experiment being performed? Choose all that are correct.
Answer:
can't see it too small talk a shot little bit close
Answer this question to get marked as brainliest!!!!!
Answer:
The answer is F^8
Step-by-step explanation:
9 + 3 = 12
12 - 4 = 8
=f^8
i need help with MAD someone pls help
Answer:
wh
at am I helping u wit lol use googl
A line includes the points (10, 4) and (0, 2). What is its equation in slope-intercept form?
Answer:
Slope is 1/5 and equation is 4-2 / 10-0
Step-by-step explanation:
Its equation is 4-2 / 10-0
-2/-10 = 1/5 Slope is 1/5
Answer:
The answer is y=1/5x+2
Step-by-step explanation:
The slope is 1/5
and the y is 2
Choose the correct rule for the graph shown.
A) y = 2x
B) y = 3x
C) y = 2x + 6
D) y = 3x + 3
Answer:
C
Step-by-step explanation:
C i did the test
The correct rule for the graph shown will be;
⇒ y = 3x
What is Equation of line?
The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The graph is shown in figure.
Two points on the graph are (2, 6) nd (3, 9).
Now,
Solve for the correct rule of the graph as;
Since, The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
So, We find the slope of the line as;
Two points on the graph are (2, 6) and (3, 9).
Hence,
m = (9 - 6) / (3 - 2)
m = 3/1
m = 3
Thus, The equation of line in point-slope form passing through the points (2, 6) and (3, 9).with slope 3 is defined as;
⇒ y - y₁ = m (x - x₁)
⇒ y - 6 = 3 (x - 2)
⇒ y - 6 = 3x - 6
⇒ y = 3x
Thus, The correct rule for the graph shown will be;
⇒ y = 3x
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2
Simplify the expression.
-1/2(-5/6 +1/3)
HELPPPO
Answer:
0.25
Step-by-step explanation:
Please someone help!!!
Answer:
Step-by-step explanation:
surface area of cuboid=2h(l+w)
=2*2(12+5)
=4*17
=68 cm^2
Answer:
188 cm²
Step-by-step explanation:
TSA of cuboid = 2(lb + bh + hl)
= 2 {(12*2) + (2*5) + (5*12)}
= 2 (24 + 10 + 60)
= 2 (94)
= 188cm²
What would it be little help plz
Answer:
the radius would be 5 centimeters
Increased dumping of sewage into a river caused an increase in parasites that attacked the local fish population. Turtles and birds that live in the same community eat the fish. What would happen between the turtles and birds if the fish population decreased by 50% as a result of the parasitism? *
A increased commensalism
B increased competition
C increased mutualism
D increased predation
Answer: The answer you are looking for is “B increased competition”
Step-by-step explanation: The reason why it is the answer b is when two species eat the same type of food and that said food is decreased as much as 50% there will be a lot of competition that will take place because both species want to survive so it is pretty much anyone for themselves.
Have a nice day!
HELP DUE SOON!
x = ??
Answer:
Step-by-step explanation:
The crossed chords theorem says that the segments of one chords multiplied together = the segments of the other chord multiplied together.
Equation
x * 8 = 6 * 12
8x = 72 Divide by 8
8x/8 = 72/8
x =9
What is the percent increase or decrease between $3.25 and $3.64?
Answer:
12% increase
Step-by-step explanation:
Have a good day :)
A cube with an edge length of 4 must be filled completely. How many cubic centimeters will be needed
Answer: [tex]64\ cm^3[/tex]
Step-by-step explanation:
Given
The edge length of the cube is 4 cm
If it is to be filled, then the entire volume of the cube is needed
The volume of the cube [tex](\text{edge length})^2[/tex]
[tex]\Rightarrow V=4^3\\\Rightarrow V=4\times 4\times 4\\\Rightarrow V=64\ cm^3[/tex]
Thus, 64 cubic centimeters is required.
Find the area of the combined rectangles. Please help me
Answer:
8: 190 yd , 9: 30 m, 10: 92 ft
Step-by-step explanation:
for 8, you can spit it up pretty simply. find 10x18 which is 180 and then 5x2 which is 10 so 8 is 190.
for 9, 2x8=18 for the top portion and for the sides 3x2=6, so twelve. Combined its 30m.
for 10, 10x8=80, then 6x2=12. so 92 ft combined.
f(x)=(x-1)(x+3)(x-4)
Answer:
Do you want the derivative?!
Answer:
Step-by-step explanation:
multiplication: (x-1) * (x+3) * (x-4)
(x-1) * (x+3)
x^2 + 2x - 3
(x^2 + 2x -3)(x-4)
x^3-2x^2-5x+ 12
finding the zeroes:
(x-1) (x+3) (x-4)
x-1:0 x+3:0 x-4:0
+1:1 -3:3 +4: 4
x: 1 x:3 x:4
Please helppp not trying to fail
Answer:
A, 1 inch equals 5 feet.
Step-by-step explanation:
To calculate the answer you have to divide
30 ÷ 6 = 5
So, 1 inch represents 5 feet.
Have a great day!
Answer:
the answer is A
Step-by-step explanation:
do 30÷6 and you get 5ft. so, 1 inch represents 5ft
A room is thrice as long as the breadth. It contains 270m^3 of air and the cost of painting its four walls at Rs 15 per m^2 is Rs. 3600, find the cost of carpeting the floor at Rs. 98 per m^2.
Answer: ₹2646
Step-by-step explanation:
Given
The volume of the room is [tex]V=270\ m^3[/tex]
cost of painting the walls is ₹[tex]3600[/tex] at the rate of [tex]15\ m^2[/tex]
So, the area of walls is
[tex]\Rightarrow A=\dfrac{3600}{15}\\\\\Rightarrow A=240\ m^2[/tex]
This the area of 4 walls i.e.
[tex]\Rightarrow 240=2[hl+hb]\\\Rightarrow 120=h[l+b]\\\Rightarrow 120=4bh\quad [\text{length is thrice of width}]\\\Rightarrow 30=bh\qua \ldots(i)[/tex]
The volume of the room is given by
[tex]V=l\times b\times h\\270=3b\times b\times h\\90=hb^2\quad \ldots(ii)[/tex]
Divide (i) and (ii)
[tex]\Rightarrow \dfrac{90}{30}=\dfrac{b^2h}{bh}\\\\\Rightarrow b=3\ m[/tex]
So, the length of the room is
[tex]l=3b\\l=3\times 3\\l=9\ m[/tex]
The area of the floor is
[tex]\Rightarrow A_o=l\times b\\\Rightarrow A_o=9\times 3\\\Rightarrow A_o=27\ m^2[/tex]
The cost of flooring is
[tex]\Rightarrow 27\times 98\\\Rightarrow Rs.2646[/tex]
It's an angles question. I keep getting 14 degrees. How do you do it?
Answer:
32
Step-by-step explanation:
By linear pair and exterior angle theorem:
[tex]x \degree + (180 - 99) \degree = 113 \degree \\ \\ x \degree + 81 \degree = 113 \degree \\ \\ x \degree = 113 \degree - 81 \degree \\ \\ x \degree = 32 \degree \\ \\ x = 32[/tex]
The mean room temperature from Monday to Saturday is 25oC and the mean room temperature of Saturday and Sunday is 28oC. if the mean room temperature from Monday to Sunday is 26oC, find the room temperature on Saturday
Answer: 24 °C
Step-by-step explanation:
Mean = [tex]\frac{\text{Sum of n observations}}{n}[/tex]
Given: Mean room temperature from Monday to Saturday = 25°C
Sum of temperature from Monday to Saturday = 6 x 25°C [Total 6 days from Monday to Saturday]
= 150°C
Mean room temperature of Saturday and Sunday = 28°C
Sum of temperature of Saturday and Sunday = 2 x28°C
=56 °C
Sum of temperature from Monday to Sunday = 7 x 26°C
= 182 °C
Room temperature on Saturday = 150°C + 56 °C - 182 °C
= 24 °C
Hence, the room temperature on Saturday = 24 °C
A rectangle measures 7.08cm by 3.2cm what is the area of the rectangle
Answer:
Measurements= 7.08/3.2
Area of rectangle= 7.08cm×3.2cm
= 22.656 cm(square)
Explain how you can find a function rule that has f(a) = 0 and f(b) = 0 and contains the point (0, c).
Please help!!!
f(a) = 0 and f(b) = 0
A line is perpendicular to y=-1/2x-1 and intersects the point (6, 9). What is the equation of this perpendicular line?
Answer:
y = 2x - 3
Step-by-step explanation:
slope of perpendicular line must be 2
use (6,9) and slope of 2 to find 'b', or the y-intercept
9 = 2(6)+b
9 = 12 + b
-3 = b
y = 2x - 3
44 Points Help please
Answer:
1. quadratic trinomial
2. quintic binomial
3. linear monomial
Step-by-step explanation:
hope this helps!
What is the value of f(5) ?
Answer:
243
Step-by-step explanation:
Help plz..And No links!! I repeat No links!!
Answer:
10^2 = 100
100 x 3.14 = 314(area of circle)
314 x 2 = 628(area of both two circles/base and top)
2 x 3.14 x 10 = 62.8(circumference),
62.8 x 6(height) = 376.8
Add areas:
376.8 + 628 = 1,004.8 m2 is your answer.