All categories

3 years ago

Which of the following is an arithmetic sequence?

1 answer:

7 0

0, 2, 4, 6 is because the rule it to add 2

1, 2,4,8 is a geometric sequence since the rule is to mutliply by 2
1,4,8, 13 is neither even though there is a pattern add 3, add 4 add 5 etc.

You might be interested in

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,206 was collected on the sale of 1,322 ticket

vaieri [72.5K]

There were 471 adult and 851 student tickets sold

6 0

3 years ago

Could someone give me the answer please

o-na [289]

Answer:

the top one, (-1,3)

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Someone Please help me

Artyom0805 [142]

Answer:

6.5 hours

Step-by-step explanation:

He pays a flat fee of $65 and a rate of $40 per hour, we can set up the equation:

$65+40h=325\\40h=260\\4h=26\\h=6.5$

4 0

2 years ago

Find the work required to move an object in the force field F = e^x + y (1, 1, z) along the straight line from A(0, 0, 0) to B(-

DENIUS [597]

$\vec F(x,y,z)=(e^x+y)(1,1,z)$

is conservative if we can find a scalar function $f$ such that $\nabla f=\vec F$ . This would require

$f_x=e^x+y$

$f_y=e^x+y$

$f_z=(e^x+y)z$

Integrating both sides of the first equation wrt $x$ gives

$f(x,y,z)=e^x+xy+g(y,z)$

Differentiating both sides of this wrt $y$ gives

$f_y=x+g_y=1\implies g_y=1-x\implies g(y,z)=y-xy+h(z)$

but we assumed $g$ was a function of $y$ and $z$ , independent of $x$ . So there is no such $f$ and $\vec F$ is not conservative.

To find the work, first parameterize the path (call it $C$ ) by

$\vec r(t)=(1-t)(0,0,0)+t(-4,5,-5)=(-4t,5t,-5t)$

for $0\le t\le1$ . Then

$\vec r'(t)=(-4,5,-5)$

and the work is given by the line integral,

$W=\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_0^1(e^{-4t}+5t,e^{-4t}+5t,-(e^{-4t}+5t)5t)\cdot(-4,5,-5)\,\mathrm dt$

$W=\displaystyle\int_0^1(125t^2+5t+(25t+1)e^{-4t})\,\mathrm dt=\boxed{\frac{2207}{48}-\frac{129}{16e^4}}$

8 0

3 years ago

Shelley's basketball team won 3/4 of their games last season. In 1/6 of the games they won, they outscored their opponents by mo

iVinArrow [24]

Let the total number of games be x.

Number of games Shelley's team won = $\frac{3}{4} x$

Number of games they outscored

their opponents by more than 10 points = $\frac{1}{6}$ × $\frac{3}{4} x$

= $\frac{1}{8} x$

Hence, 1/8 of the total games, Shelley's team won by 10 points.

6 0

3 years ago

Read 2 more answers