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3 years ago

8

Given the rule complete the table for the function rule for the following input values:

2 answers:

tekilochka [14]3 years ago

5 0

Answer:

2, 2.5, 3, 3.5, 4, 4.5

Step-by-step explanation:

lesya [120]3 years ago

3 0

Answer:

A-0 B-4 C-5 D-3.5 E-6 F-4.5

Step-by-step explanation:

I followed the steps

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there are 24 hours in a day scientists tell us that we should sleep for 3/8 of a day how much time should we spend sleeping

jeka94

When you have to find the part of a number, remember that you have to multiply the two numbers (fraction and whole number)

In a day there are 24 hours.
3/8 of a day
Process:
24 X 3/8 = 9
We sleep 9 hours of the day.

Bascially you go 3/8 = .375 Then multiply .375 x 24 = 9

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3 years ago

What is 1/2 subtract 1/6 divided by 4

mash [69]

Answer:

0.083

Step-by-step explanation:

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4 years ago

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makkiz [27]

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$71-$6=$65
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3 years ago

The sum of two numbers is 90. Their difference is 18. Find<br> the numbers.

Naddik [55]

Answer:

36 & 54

Step-by-step explanation:

<em><u>By </u></em><em><u>Question</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

Sum of numbers = 90 .
Difference of numbers = 18 .

<em><u>Let </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

First Number be x .
Second number be y .

<em><u>According</u></em><em><u> to</u></em><em><u> </u></em><em><u>1</u></em><em><u>s</u></em><em><u>t</u></em><em><u> </u></em><em><u>condition</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

$: \implies$ x + y = 90

<u>According</u><u> to</u><u> </u><u>2</u><u>n</u><u>d</u><u> </u><u>condition</u><u> </u><u>:</u><u>-</u><u> </u>

$: \implies$ x - y = 18

<em><u>Adding</u></em><em><u> the</u></em><em><u> </u></em><em><u>equations</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

$: \implies$ 2x = 18 + 90

$: \implies$ 2x = 108

$: \implies$ x = 54

<em><u>Therefore</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

$: \implies$ First number = 54

$: \implies$ Second number = 36

5 0

3 years ago

Read 2 more answers

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

4 years ago

Read 2 more answers