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2 years ago

PlEASE ANSWER FAST!!!!!!!!!!!!

1 answer:

muminat2 years ago

7 0

<span>Diameter of a grain of sand = 2 x 10^{-4}

</span><span>Diameter of the average cell in the human body = 1 x 10^{-5}
</span>
Difference of diameter of grain of sand and cell of human body

= 2 x 10^{-4} - 1 x 10^{-5}

= $2 * 10^{-4} - 1 * 10^{-5} = ( \frac{2* 10^{-4}}{10^{-5}} - \frac{1*10^{-5}}{10^{-5}} )*10^{-5}$

= $(2*10^{-4-(-5)} - 1*10^{-5-(-5)})*10^{-5}$

= $(2*10^{-4+5}-1*10^{-5+5})*10^-5= (2*10^{1}-1*10^{0})*10^{-5}$

= $(2*10 - 1*1) *10^{-5} = (20 - 1)*10^{-5}$

= $19 * 10^{-5}$

= 19 × 10^{-5}

Hence, the diameter of a grain of sand is 19 × 10^{-5} longer than the diameter of the average cell of the human body.

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What is the factored form of the expression?<br><br> d^2 = 36d + 324

Veseljchak [2.6K]

Answer:

$(x-43.45)(x+7.45)=0$

Step-by-step explanation:

We have the quadratic equation $d^{2}=36d+324$ i.e. $d^{2}-36d-324=0$

As, the roots of the quadratic equation $ax^{2}+bx+c=0$ are given by $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ .

So, from the given equation, we have,

a = 1, b = -36 , c = -324.

Substituting the values in $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ , we get,

$x=\frac{36\pm \sqrt{(-36)^{2}-4\times 1\times (-324)}}{2\times 1}$

i.e. $x=\frac{36\pm \sqrt{1296+1296}}{2}$

i.e. $x=\frac{36\pm \sqrt{2592}}{2}$

i.e. $x=\frac{36\pm 50.9}{2}$

i.e. $x=\frac{36+50.9}{2}$ and $x=\frac{36-50.9}{2}$

i.e. $x=\frac{86.9}{2}$ and $x=\frac{-14.9}{2}$

i.e. x = 43.45 and x = -7.45

Thus, the roots of the equation are 43.45 and -7.45.

Hence, the factored form of the given expression will be $(x-43.45)(x+7.45)=0$

3 0

2 years ago

Solve the following system x=3 y=3x-1

astraxan [27]

Answer:

x = 3

y = 8

Step-by-step explanation:

Since it gives you x, you need to plug in the number given for it into the equation:

y = 3x - 1

y = 3(3) - 1

y = 9 - 1

y = 8

So now you have, x = 3 and y = 8

5 0

2 years ago

Filip is inviting 6 friends to a party. Each friend wants 5 cookies and each box has 8 cookies. How many boxes should Filip get?

Alecsey [184]

Flip should get 4 boxes.

6*5=30
30/8=3.75
round up for 4.

3 0

1 year ago

To determine a monthly budget for gasoline, Rachael determines that she can not spend more

IrinaK [193]

The solution of the given inequality is:

x ≤ 15.24

<h3>How to solve the inequality?</h3>

We know that the maximum that she can spend on gasoline is the 12% of $400.

That is:

(12%/100%)*$400 = 0.12*$400 = $48

Now, we know that each gallon of gas costs $3.15, then if x is the number of gallons of gas that she buys, we have the inequality:

x*$3.15 ≤ $48

To solve the inequality, we need to divide both sides by $3.15

x ≤ $48/$3.15

x ≤ 15.24

So the maximum number of gallons of gasoline that she can buy is 15 gallons (actually a little more).

If you want to learn more about inequalities:

brainly.com/question/18881247

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4 0

1 year ago

A student pushes a 51.5 kilogram bookshelf across a smooth floor with a net force of 67 N.

iren [92.7K]

The acceleration of the bookshelf is equal to 1.30 $m/s^2$

<u>Given the following data:</u>

Mass of bookshelf = 51.5 kilogram

Net force = 67 Newton

To determine the acceleration of the bookshelf, we would apply Newton's Second Law of Motion:

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on the object while being inversely proportional to its mass.

Mathematically, Newton's Second Law of Motion is given by this formula;

$Acceleration = \frac{Net\;force}{Mass}$

Substituting the given parameters into the formula, we have;

$Acceleration = \frac{67}{51.5}$

Acceleration = 1.30 $m/s^2$

Read more on net force here: brainly.com/question/1121817

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2 years ago