Find the arch length
(Give an exact answer & show work)

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.

Answer:

VA = 2/3πrB²hB

Step-by-step explanation:

Let the volume of cosA ad cone B be expressed as;

Va = 1/3πra²ha

Vb = 1/3πrb²hb

If the radius of the base of cone A is twice as large as the radius of the base of cone B

rA = 2rB

If the height of cone B is twice the height of cone A, then;

hB = 2hA

hA = hB/2

Recall that;

VA = 1/3πrA²hA

VA = 1/3π(2rB)²(hB/2)

VA = 1/3π*4rB²(hB/2)

VA = 2/3πrB²hB

This gives the volume of cone A

Answer:

can't see it too small talk a shot little bit close

Answer:

$449.5

Step-by-step explanation:

Given data

Earning rate=  $15.50 per hour

Number of hours worked = 29 hours

Hence the amount earned is

=15.5*29

= $449.5

Hence the total amount she earned is $449.5

Answer: It let me add an answer!! For number 19. The answer is y > 3x - 3. And for number 20. The answer is y is less than or equal to 1/2x + 1

Have a nice day! :)

Answer:

the radius would be 5 centimeters

Answer:

Choice C

y = 58,000(0.98)

Answer:

Step-by-step explanation:

x^2-16y-4x-12=0

Transpose and separate x and y

16y = x^2-4x-12

16y = (x^2-4x+4) -16

16y = (x-2)^2 -16

y = (1/16)(x-2)^2 -1

This means that the vertex is at

(x-2)=0 or x=2

y = -1

=> vertex (2,-1)

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

Answer:

B.

Step-by-step explanation:

We know that the graph has to go down by 6 units. Therefore, the y-value is (?,-6). Because this is a quadratic function, the numbers inside the parenthesis show if the point goes right or left. If it is negative, it goes right, if it is positive, it goes left. Therefore, the number has to be -5.

Please mark as brainliest if this helped you

B

Step-by-step explanation:

A and C is translating to the left. B and D is translating to the right, however,  D is 5 right and 6 left. B makes the most sense out of all of the options

Answer:

The answer is F^8

Step-by-step explanation:

9 + 3 = 12

12 - 4 = 8

=f^8

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]

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!

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.

Answer:

12% increase

Step-by-step explanation:

Have a good day :)

Answer:

0.8969

Step-by-step explanation:

This can be solved using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

p = 0.9031

Number of trials, n = 12

q = 1 - p =0.0969

x ≥ 10

P(x ≥ 10) = P(x= 10) + p(x = 11) + p(x = 12)

P(x = 10) = 12C10*0.9031^10 * 0.0969^2 = 0.2236

P(x = 11) = 12C11 * 0.9031^11 * 0.0969^1 = 0.3790

P(x = 12) = 12C12*0.9031^12 * 0.0969^0 = 0.2943

P(x ≥ 10) = (0.2236 + 0.3790 + 0.2943)

P(x ≥ 10) = 0.8969

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.

Answer:

73%

Step-by-step explanation:

Let us have the original price as $100

A discount of 27% will be;

27/100 * 100 = $27

so, the value to be paid will be $100 - $27 = $73

Now, what percentage of $100 is the $73 that was paid

that would be;

73/100 * 100% = 73%

Answer:

-8 = m-2+b

-2 = m-0+b

4 = m2+b

10 = m4+b

Step-by-step explanation:

You just put them in y = mx+b format

Answer:

wh

at am I helping u wit lol use googl

Answer:

I think (C2)

Step-by-step explanation:

i hope it help

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

f(a) = 0 and f(b) = 0

Answer:

11.6

Step-by-step explanation:

Answer: To be honsest i think it is C.) "Opposite angle" because the shortest side is always opposite the smallest interior angle.

Answer:

28u+16w-32

Step-by-step explanation:

Distributive property means you multiply everything on the inside of the parentheses by everything on the outside so....

4(7u)=28u

4(4w)=16w

4(-8)=-32

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]

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.