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3 years ago

The producte of x and the sum of 6 and 8 times the square of x

Mathematics

1 answer:

seraphim [82]3 years ago

7 0

Product is multiplication.

The first part would be x(6+8) , x times the sum of 6 plus 8.

The second part would be written as x^2, the square of x

Now combine to get:

x(6+8) * x^2

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Solve the equation ln(1+x)=1+ln(x)

Shkiper50 [21]

Step-by-step explanation:

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2 years ago

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Can anyone help me with this math test heres another question on it!!

stira [4]

Answer:

31 1/2, or answer D

Step-by-step explanation:

Because you have three countertops which all have an area of 10 1/2 meaning you multiply 10.5x3 getting 31.5

8 0

2 years ago

4) A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is

lisov135 [29]

Answer:

l=0.1401P\\

w =0.2801P

where P = perimeter

Step-by-step explanation:

Given that a window is in the form of a rectangle surmounted by a semicircle.

Perimeter of window =2l+\pid/2+w

$P= 2l+3.14 (w/2)+w$

Or $P = 2l+2.57w\\l = \frac{P-2.57w}{2}$

To allow maximum light we must have maximum area

Area = area of rectangle + area of semi circle where rectangle width = diameter of semi circle

$A=lw +\pi \frac{w^2}{8}$

$A=lw +\pi \frac{w^2}{8}\\A=w*\frac{P-2.57w}{2}+0.3925w^2\\2A= Pw-2.57w^2+(0.785w^2)\\2A' = P-5.14w+1.57 w\\2A" =-5.14+1.57$

Hence we get maximum area when i derivative is 0

i.e. $P-5.14w+1.57 w=0\\3.57w =P\\w = \frac{P}{3.57} =0.2801P$

$l = \frac{P-2.57w}{2}\\l = 0.1401P$

Dimensions can be

$l=0.1401P\\w =0.2801P$

5 0

2 years ago

Solve for the following 6(16x+3)-2/3(9-12x)+25=0

lutik1710 [3]

First expand the parentheses:-

96x + 18 - 6 + 8x + 25 = 0

104x = -18 + 6 - 25 = -37

x = -37 / 104 = -0.3558

6 0

3 years ago

What is the quotient of 5 7 ÷ 5 14 ?

KatRina [158]

Answer:

<h2><u>=</u> <u> 57 / 514 </u> <u>(Decimal: 0.110895)</u></h2>

Step-by-step explanation:

57 / 514

<u>(Decimal: 0.110895)</u>

<u></u>

<h2><u>And if that is not what you are looking for here: </u></h2><h2><u></u></h2>

Rewrite the equation as

x /14 = 5/ 7 . x/ 14 = 5/ 7

Multiply both sides of the equation by

14.14 ⋅ x /14 = 14 ⋅ 5 /7

Simplify both sides of the equation.

Tap for fewer steps...

Cancel the common factor of 14 .

Cancel the common factor.

14 ⋅ x /14 = 14 ⋅ 5 /7

Rewrite the expression.

x = 14 ⋅ 5 /7

Simplify 14 ⋅ 5/ 7 .

Cancel the common factor of 7 .

Factor 7 out of 14 .

x = 7 ( 2 ) ⋅ 5/ 7

Cancel the common factor.

x = 7 ⋅ 2 ⋅ 5/ 7

Rewrite the expression.

x = 2 ⋅ 5

Multiply 2 by 5 .

3 0

2 years ago