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3 years ago

Determine if the sequence below is arithmetic or geometric and determine the

1 answer:

5 0

The sequence is arithmetic since the common difference that is equal
d=11-15=7-11=-4
a(n) = a1 +(n-1)d
a1=15
=
a(n) = 15+(n-1)-4

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Find all real square roots of - 144

Mariana [72]

Answer:

The square roots of 144 are 12 and -12 which are rational numbers.

Step-by-step explanation:

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2 years ago

For every 6 green apples in an orchard there where 9 red apples what is the ratio of green apples to red apples

MAXImum [283]

Answer:

6:9

or 6 to 9

Step-by-step explanation:

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3 years ago

66 bats were sold. Some were sold for $42 each the rest were sold for $30 each. The total sales were$2,460. Write and solve a sy

Phoenix [80]

Answer:

40 bats sold for $42

26 bats sold for $30

Step-by-step explanation:

x + y = 66

42x + 30y = 2460

solve first equation for y and plug in for y in second equation

42x + 30 (66 - x) = 2460

x = 40

y = 66- 40 = 26

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3 years ago

You are at an pear picking farm and they allow you to pick up to 50 pears a day. Today, you have already picked 14 pears. Which

Liono4ka [1.6K]

step 1

Subtract 14 from 50

50-14=36

$p+14\leq50$

If you solve for p

$p\leq36$

the answer is the second option

3 0

9 months ago

Find the directional derivative of f(x,y,z)=z3−x2yf(x,y,z)=z3−x2y at the point (−5,5,2)(−5,5,2) in the direction of the vector v

olga_2 [115]

We are given

$f=z^3 -x^2y$

Firstly, we can find gradient

so, we will find partial derivatives

$f_x=0 -2xy$

$f_x=-2xy$

$f_y=0 -x^2$

$f_y=-x^2$

$f_z=3z^2$

now, we can plug point (-5,5,2)

$f_x=-2*-5*5=50$

$f_y=-(-5)^2=-25$

$f_z=3(2)^2=12$

so, gradient will be

$gradf=(50,-25,12)$

now, we are given that

it is in direction of v=⟨−3,2,−4⟩

so, we will find it's unit vector

$|v|=\sqrt{(-3)^2+(2)^2+(-4)^2}$

$|v|=\sqrt{29}$

now, we can find unit vector

$v'=(\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

now, we can find dot product to find direction of the vector

$dir=(gradf) \cdot (v')$

now, we can plug values

$dir=(50,-25,12) \cdot (\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

$dir=(-\frac{150}{\sqrt{29} } - \frac{50}{\sqrt{29} } - \frac{48}{\sqrt{29} })$

$dir=-\frac{248\sqrt{29}}{29}$ .............Answer

7 0

3 years ago

Read 2 more answers