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3 years ago

8

What are the first 4 terms of the arithmetic sequence in the graph?

2 answers:

monitta3 years ago

7 0

<span>Answer: In an arithmetic sequence, whose first term is a and difference between a term and its preceding term is d,

the nth term is a+(nâ’1)d and sum of first n terms is n2(2a+(nâ’1)d)

Hence 6th term will be a+5d=8 and 10th term will be a+9d=13

Subtracting first from second, 4d=5 or d=1.25 and a=8â’5â‹…1.25=8â’6.25=1.75

Hence sum of first four terms is 42â‹…(2â‹…1.75+3â‹…1.25)=2â‹…(3.5+3.75)=2â‹…7.25=14.50</span>

Amiraneli [1.4K]3 years ago

6 0

Answer:

Start from bottom to top. They are asking for the y-intercept of each dot. The following order is the answer: -3, 1, 5, 9.

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During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by

sweet [91]

Hey Child.

The answer to this is 1 or 7:

To find the range for the number of measures played to satisfy our solution, we must solve for x using s = 80.

Next, we subtract 50 from both sides of the equation.

Next, we divide both sides of the equation by 10

Next, to eliminate the absolute value bars, we will add a ± sign in front of our s value, 3.

Finally, we add 4 to both sides of our equation giving us 4 ± 3 = x

Separating this into two equations, we get 4 - 3 = x and 4 + 3 = x

Therefore, x, the number of measures of music played, must be either 1 or 7.

Hope It Helped!~

$\frac{JesusLoveMeAlways}{}$

<h3>¬❤♪❤♪¬</h3>

4 0

3 years ago

Which function represents the graph below?

zimovet [89]

Answer:

The inequalities all need to be of the form a < x ≤ b. i think that is it

3 0

2 years ago

find the sum of the first 20 terms of an arithmetic sequence with a first term of -14 and a comman difference of 4

timama [110]

Answer:

480

Step-by-step explanation:

Sn = n÷2 × (2a + (n-1)d)

n = 20 a = -14 d = 4

S20 = 10 × (-28 + 19 × 4) = 480

7 0

2 years ago

T is the solution to the equation x + 16 = 64?<br><br> x = 4<br> x = 32<br> x = 36<br> x = 47

zheka24 [161]

x + 16 = 64 |subtract 16 from both sides

x = 48

8 0

3 years ago

Read 2 more answers

Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (2, 0, −2) to (5, 4, 2) (a) Find a fun

WITCHER [35]

Answer:

Required solution (a) $f(x,y,z)=xyz+3z^2+C$ (b) 40.

Step-by-step explanation:

Given,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k$

(a) Let,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k=f_x \uvec{i} +f_y \uvex{j}+f_z\uvec{k}$

Then,

$f_x=yz,f_y=xz,f_z=xy+6z$

Integrating $f_x$ we get,

$f(x,y,z)=xyz+g(y,z)$

Differentiate this with respect to y we get,

$f_y=xz+g'(y,z)$

compairinfg with $f_y=xz$ of the given function we get,

$g'(y,z)=0\implies g(y,z)=0+h(z)\implies g(y,z)=h(z)$

Then,

$f(x,y,z)=xyz+h(z)$

Again differentiate with respect to z we get,

$f_z=xy+h'(z)=xy+6z$

on compairing we get,

$h'(z)=6z\implies h(z)=3z^2+C$ (By integrating h'(z)) where C is integration constant. Hence,

$f(x,y,z)=xyz+3z^2+C$

(b) Next, to find the itegration,

$\int_C \vec{F}.dr=\int_C \nabla f. d\vec{r}=f(5,4,2)-f(2,0,-2)=(52+C)-(12+C)=40$

3 0

3 years ago