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3 years ago

PLZ help I will mark as brainliest

Mathematics

1 answer:

Elden [556K]3 years ago

6 0

Answer:

6750 - 3894 = 2856

Step-by-step explanation:

You have to make use of the arithmetic facts you know.

The least-significant asterisk must be 0, because the sum of 4 and 6 is 10.

The 10s asterisk must be 9,so that the sum 5 + 9 + 1 has a least-significant digit of 5.

The 100s asterisk must be 7, because that is the least-significant digit of the sum 8 + 8 + 1 = 17.

The 1000s asterisk must be 3, so that 2 + 3 + 1 = 6.

(The "1" in each of these sums is the carry from the sum of the digits with the next lower place value.)

So, the subtraction problem is ...

6750 - 3894 = 2856

_____

<em>Comment on the solution method</em>

For the most part, we worked this as an addition problem. The sum of the last two numbers must be equal to the first: 6570 = 3894 +2856. For some of us, addition facts are easier to work with than subtraction facts. The carry/borrow can be less confusing that way.

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Which polynomial represents the sum below?

Bezzdna [24]

The correct answer is: [D]: " 4x² − 12x − 4 " .
___________________________________________________
Explanation:
___________________________________________________
Given:
___________________________________________________
" (16x²  − 16) + ( -12x² − 12x + 12) " ; Simplify.
___________________________________________________
Note the "distributive property of multiplication:
___________________________________________________
a(b + c) = ab + ac ;

a(b − c) = ab − ac .
___________________________________________________
So we can rewrite the expression as:

" (16x²  − 16) + 1( -12x² − 12x + 12) " ;

{The "1" is implied; since "1", multiplied by any value, results in the exact same value.}.

Let us examine the following part of the expression:
_________________________________________________
" + 1 ( -12x² − 12x + 12 ) " ;

Using the distributive property of multiplication:

" + 1 ( -12x² − 12x + 12 ) = (1 * -12x²) − (1 * 12x) + (1 * 12) ;

=   " − 12x² − 12x + 12 " ;
_________________________________________________
Now, bring down the other part of the expression; & rewrite:
_________________________________________________
→ " (16x²  − 16)  − 12x² − 12x + 12 " ;

→ " 16x²  − 16 − 12x² − 12x + 12 " ;

Now, combine the "like terms" :

+ 16x² − 12x² = 4x² ;

− 16 + 12 = -4 ;

and we have " − 12x" ;

So we can rewrite the expression as:
_______________________________________________________

→ " 4x² − 12x − 4 " ;

→ which is: "Answer choice: [D]: " 4x² − 12x − 4 <span>" .
</span>_______________________________________________________

5 0

3 years ago

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 23 in. by 13 in. by

faltersainse [42]

Answer:

The dimension of the box is 17.66 in by 7.66 in by 2.67 in.

Therefore the volume of the box is 361.19 $in^3$ .

Step-by-step explanation:

Given that the dimensions of a cardboard is 23 in by 13 in.

Let the side of the square be x in.

Then the length of the box= (23-2x) in

and the width of the box =(13-2x) in

and height = x in.

The volume of the box is = length ×width × height

=[(23-2x)(13-2x)x] $in^3$

=(299x-72x² +4 $x^3$ ) $in^3$

∴V=299x-72x² +4x³

Differentiating with respect x

V'= 299-144x+12x²

Again differentiating with respect x

V''= -144+24x

To find the dimensions, we set V'=0

∴299-144x+12x²=0

Applying Sridharacharya formula that is the solution of a quadratic equation ax²+bx+c is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Here a=12, b=-144 , c=299

$\therefore x=\frac{-(-144)\pm\sqrt{(-144)^2-4.12.299}}{2.12}$

$\Rightarrow x= 9.33, 2.67$

If we take x=9.33 in, then the width of the box [13-(2×9.33)] will negative.

∴x = 2.67 in

If at x = 2.67, V''<0 , then the volume of the box will be maximum or V''>0 then volume of the box will be minimum.

$V''|_{x=2.67}=-144+(24\times 2.67)=-79.92$

Therefore at x = 2.67, the volume of the box maximum.

The length of the box =[23-(2×2.67)] in

=17.66 in

The width of the box =[13-(2×2.67)] in

=7.66 in

The height of the box= 2.67 in

The dimension of the box is 17.66 in by 7.66 in by 2.67 in.

Therefore the volume of the box is =(17.66×7.66×2.67) $in^3$

=361.19 $in^3$

8 0

3 years ago

Show your smartness by answering the questions! First one to answer gets Brainlest!

shusha [124]

Answer:

3.56*10^13

Step-by-step explanation:

8.9* 10^4 * 4*10^8

Multiply the number out front and then the exponents

8.9 * 4 * 10^4 * 10^8

When we multiply powers when the bases are the same, we add the exponents

35.6 * 10^(4+8)

35.6 *10^12

But this is not in proper scientific notation. Only one digit before the decimal

Move the decimal one place to the left, that means we need to add 1 to the exponent

3.56 *10^(12+1)

3.56 * 10^13

3 0

3 years ago

Round 12.5829 to the nearest hundredth

natima [27]

12.58 i’m pretty sure

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2 years ago

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PLZ HELP WILL MARK BRAINLIEST!

mel-nik [20]

Answer:

So far we have looked at linear systems of equations in which the lines always intersected in one, unique point. ... When we graph them, they are one line, coincident, meaning they have all points in common. This means that there are an infinite number of solutions to the system.

Step-by-step explanation:

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3 years ago

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