What is the explicit formula for the arithmetic sequence 4/5, 29/30, 17/15, 13/10?

The answer for this question is A:

A = x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6

The parametric equations of the curve are:

x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3

The parametric equation of the line is, [tex]x=x_0+at,y=y_0+bt[/tex] where [tex](x_0,y_0)[/tex] is the point on the line and [tex]\frac{b}{a}[/tex] is the slope of the line with a, b are real numbers.

If (a, b) and (c, d) are any two points on the line then, slope of the line is:

m = (d - b)/(c - a)

For given situation,

a line goes from (-5, 7) to (3, 3).

Using the formula of slope, the value of m i.e., slope of the line  would be,

⇒ m = (7 - 3)/(-5 - 3)

⇒ m = 4/(-8)

⇒ m = 1/(-2)

⇒ m= 0.5/(-1)

Comparing with m = b/a,

b = 0.5 and a = -1.

From the graph of the line given below,

A point (1, 4) is also on the line.

Let [tex]\bold{(x_0,y_0)=(1,4)}[/tex]

Using the parametric equation of the line,

[tex]x=x_0+at[/tex]

⇒ x = 1 + (-1)t

⇒ x = -t + 1

and [tex]y = y_0+bt[/tex]

⇒ y = 4 + (0.5)t

⇒ y = 0.5t + 4

Therefore, the parametric equations of the curve are:

x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3

Learn more about the parametric equations here:

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Answer:

145.0 cm^2

Step-by-step explanation:

Given data

r= 4cm

l= 5cm

h=??

Apply Pythagoras theorem to find h we have

h^2= 4^2+5^2

h^2= 16+25

h^2= 41

h=√41

h= 6.4cm

Substitute into the formula for the surface area of cone

A=πr(r+√h^2+r^2)

A=3.14*4(4+√6.4^2+4^2)

A=12.56(4+√40.96+16)

A=12.56(4+√56.96)

A=12.56(4+7.547)

A=12.56*11.547

A=145.0 cm^2

Answer:

B) 15

Step-by-step explanation:

Using basic logic we find that x = 4 and y = 1

4^2 = 16

1^2 = 1

16 - 1 = 15

Answer: -2 is the numerical opposite of the number 2. Any numbers opposite is it's negative form. (except for 0 due to there being no opposite for something that is not negative or positive.)

Answer:

3 1/2

Step-by-step explanation:

|-7| - |-3 1/2| = 3 1/2

Answer:

25.75 sq units

Step-by-step explanation:

Big triangle = 1/2 * 3.5 * 9 = 15.75

Tiny triangle = .5 * 2 * 2 = 2

Medium triangle = .5 * 2 * 5 = 5

square = 2 * 2

15.75 + 4 + 5 + 2

Answer:

50 species every day

Step-by-step explanation:

[tex]it \: is \: simple \\ between \: 8 \: \: \: 10[/tex]

Answer:

A

Step-by-step explanation:

the between of two bumber of 9 is 8 & 10 8<9<10

Answer:

0, 1 would be y-intercept

Step-by-step explanation:

0, 1 is where the line crosses the x-axis

Answer:

Step-by-step explanation:

since 5 has nothing to do with this question lets put the 5 aside and focus with the 2 miles and the 8 weeks.. if there is 7 days in a week and there is 8  weeks that is 56 days in total.. multiply by 2 miles per day would equal...                  

i believe (112)

Answer:

T = 4n - 5

Step-by-step explanation:

Ben = n

Chloe = 2n

Dan = n - 5

n + 2n + (n - 5) = T years

3n + n - 5 = T years

4n - 5 = T years

Answer: 31,672 mi2

Step-by-step explanation:

The area of the state of Nevada can be estimated using a trapezoid

Answer:

b. How to interpret collected data.

Step-by-step explanation:

Answer:

All of the following should be considered when designing a study except __________.

( A.)  the type of research method to use

( B.)  how to interpret collected data (ANSWER)

( C.)  who the participants will be

( D.)  the type of measurement to use

Answer:I cannot see photo

Answer:

b

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

1. Fraction = 0.36, 36% and 36/100

Answer:

165432

Step-by-step explanation:

165432 - 65432 = 100000

Answer:

Can't be Solved

Step-by-step explanation:

tan x = opp/adj

tan x = 23/11

tan x = 2.09090909 which is about

tan x = 2.09

x = 64.4 degrees which is the tangent of 2.09 in degrees.

x = 64.4 degrees

This is the only way to solve, since no answer is equivalent it can't be solved.

Answer:

81

Step-by-step explanation:

Evaluating v • w

Recall: Given vectors a and B in Cartesian plane, x, y and z

vector a = [ax ay az] and b = [bx by bz]

The dot product is :

a•b = axbx + ayby + azbz

Using the relation above,

v • w = (5*9) + (-4*-2) + (4*7)

v • w = 45 + 8 + 28

v • w = 81

Hence, v • w = 81

Answer:

[tex] \frac{5}{6} \times \frac{2}{7} \\ = \frac{5 \times 2}{6\times 7} \\ = \frac{10}{42} [/tex]

Answer:

1200 in^2

Step-by-step explanation:

SA = 2B + Ph

SA = 2(8 * 15 / 2) + 40(27)

SA = 1200

Answer:

x will be equivalent to 24

Step-by-step explanation:

apply the multiplication rule to the exponents in (a^4)^6

4 times 6= 24, so (a^4)^6 is equivalent to a^24

Answer:

how about no

Step-by-step explanation:

Answer:

3(4x - 2.5) = 5(0.4x + 10) + 33

3•(4•x - 2.5) = 5•(0.4•x + 10) + 33

10x = 90.5

x = 181/ 20

= 9.05

Step-by-step explanation:

9514 1404 393

Answer:

  x = 9.05

Step-by-step explanation:

Start by eliminating parentheses.

  12x -7.5 = 2.0x +50 +33

  10x = 90.5 . . . . . . . . . . . . . add 7.5-2x

  x = 9.05 . . . . . . . . . . divide by 10

Answer:

All triangles add up to 180 degrees so...

180 - 43 - 59 = 78 degrees.

So x - 78 degrees.

x and y are supplementary angles so...

180 - 78 = 102.

So y = 102.

180 - 102 - 49 = 29 degrees

So z = 29 degrees

Hope this helps!

Answer:

1&3 are wrong 4 and 2 are right

Step-by-step explanation:

may i be marked brainliest