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2 years ago

9-5 divided by (8-3) x 2+6

Mathematics

1 answer:

garik1379 [7]2 years ago

6 0

Answer:

Step-by-step explanation:

9-5÷(8-3)×2+6

4÷4×2+6

1×8

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Rewrite 3^-4 without negative exponents<br><br> a. 81<br> b. -81<br> c. 1/81<br> d. -1/81

vodka [1.7K]

<h3>Answer</h3>

1/81(C)

<h3>Step-by-step solution</h3>

(3)^4=81

if 3^-1=1/3

so, 3^-4=1/81(C)

7 0

2 years ago

What’s the slope I need help!

Lilit [14]

Answer:

-2\7 I think

Step-by-step explanation:

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3 years ago

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A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is

MAXImum [283]

Answer:

Width is 12 inches and height is 4 inches.

Step-by-step explanation:

Let the width of the piece of cardboard be = w inches

Then length is = $w+12$ inches

As given, 4 inch squares are cut from each corner;

So, the width is = $w-8$ inches

Length is = $w+12-8=w+4$ inches

When we are folding the cut portion, that gives the height as = 4 inches

The volume is given by : length x width x height

And volume is given as 256 cubic inches

So, $256=(w+4)(w-8)(4)$

=> $256=(w^{2}-4w-32)4$

=> $64=(w^{2}-4w-32)$

=> $w^{2} -4w=96$

or $w^{2} -4w-96=0$

=> $w^{2} -12w+8w-96=0$

=> $w(w-12)+8(w-12)=0$

We get , $(w+8)=0$ ; w = -8(neglect the negative value)

$(w-12)=0$ ; w = 12 inches

And length = $12+12=24$ inches

Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches

We can check by putting these values in equation : $256=(w+4)(w-8)(4)$

$256=(12+4)(12-8)(4)$

=> $256=(16)(4)(4)$

=> $256=256$

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3 years ago

First change to standard form of first order linear differential equation and then by finding the appropriate integrating factor

Leokris [45]

Answer:

Step-by-step explanation:

Given is a Differential equation as

$xy' + y = lnx ; y(e)=1$

To bring it to linear form we can divide the full equation by x

$y'+\frac{y}{x} =\frac{ln x}{x}$

This is of the form

y'+p(x) *y = q(x)

p(x) = 1/x

So find

$e^{\int\limits{\frac{1}{x} } \, dx } = e^{ln x} = x$

Solution is

$xy = \int {x*lnx /x } \, dx =xln x -x +C$

Use the initial value as y(e) =1

$e= eln e -e+C\\C=e$

So solution is

$xy =xln x -x+e$

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3 years ago

X/2+10=8.95 what is x and how did you find it

g100num [7]

Answer:

x =-2.1

Step-by-step explanation:

X/2+10=8.95

Subtract 10 from each side

X/2+10-10=8.95 -10

x/2 =-1.05

Multiply each side by 2

x/2*2 =-1.05*2

x =-2.1

7 0

2 years ago

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