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4 years ago

What is 7.3 trillion in scientific notation?

Mathematics

2 answers:

vodka [1.7K]4 years ago

4 0

Answer:

7.04 trillion = 7.04 x 10¹²

Step-by-step explanation:

A trillion is 1,000,000,000,000, also known as 10 to the 12th power, or one million million. It's such a large number it's hard to get your head around it, so sometimes trillion just means “wow, a lot.”

OLEGan [10]4 years ago

4 0

Answer:

The answer is 7.3 x 10^12

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Witch is grater 18/24 or 55%

GrogVix [38]

Answer:

i would say 18/24

Step-by-step explanation:

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3 years ago

The table represents the function f(x). What is f(3)?

Minchanka [31]

Answer:

f(3) = 9

Step-by-step explanation:

In the given figure,

when x=3,

f(x)=9

substituting x=3 in f(x),

=> f(3)=9

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3 years ago

The unit rate of change of yyy with respect to xxx is the amount yyy changes for a change of one unit in xxx.

baherus [9]

Answer:

9514 1404 393

Answer:

C The unit rates are the same.

Step-by-step explanation:

The rate of change for the equation is the coefficient of x: 4.5.

The rate of change for the table is computed as described in the problem statement:

unit rate of change = ∆y/∆x = (18-9)/(4 -2) = 9/2 = 4.5

The unit rates are the same.

Step-by-step explanation:

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3 years ago

A normal window is constructed by adjoining a semicircle to the top of an ordinary rectangular window, (see figure ) The perimet

Dima020 [189]

Let's find the perimeter of the window.

The bottom side is $x$ . The left and right sides make $2y$ .
The perimeter of a circle is $2\pi r$ , so the perimeter of a semicircle must be $\pi r$ , The radius is $\frac{1}2x$ , so that gives $\frac{1}2\pi x$ for the curve. All of that is equal to 12.

$x+2y+\frac{1}2\pi x=12$

We only want to use one variable to create the area formula, so let's solve for $y$ .

$2y=12-x-\frac{1}2\pi x$

$y=6-\frac{1}2x-\frac{1}4\pi x$

Now that we have a value for $y$ in terms of $x$ , we can find the area in terms of $x$ .

The area of the rectangle is going to be $xy$ , which then becomes

$A_r=x(6-\frac{1}2x-\frac{1}4\pi x$

$A_r=6x-\frac{1}2x^2-\frac{1}4\pi x^2$

The area of the semicircle is going to be $\frac{1}2\pi r^2$ .

Since $r=\frac{1}2x$ , $A_{sc}=\frac{1}2\pi (\frac{1}2x)^2$ .

$A_{sc}=\frac{1}2\pi \frac{1}4x^2$

$A_{sc}=\frac{1}8\pi x^2$

Now let's add the areas of the rectangle and semicircle.

$A=A_r+A_{sc}$

$A=6x-\frac{1}2x^2-\frac{1}4\pi x^2+\frac{1}8\pi x^2$

$A=6x-\frac{1}2x^2-\frac{1}8\pi x^2$

If you wanted to factor out $\frac{1}8$ like you did, this would become

$\boxed{A(x)=\frac{1}8(48x=4x^2-\pi x^2)}$

Now what we want to do is find what $x$ is when $A$ is at its highest point, Once we have the value for $x$ we can also find the value for $y$ , of course.

Let's put our equation in the general form of a quadratic.

$A(x)=(-\frac{1}2-\frac{1}8\pi )x^2+6x$

Now we can use the vertex formula $x=\frac{-b}{2a}$ .
( $a$ and $b$ refer to $ax^2+bx+c$ .)

$x=\frac{-6}{2(-\frac{1}2-\frac{1}8\pi)}$

$x=\frac{-6}{-\frac{1}4\pi -1}$

$x=\frac{-24}{-\pi -4}$

$\boxed{x=\frac{24}{\pi +4}}$

Now let's plug that in for $y=6-\frac{1}2x-\frac{1}4\pi x$ .

Since our final answers are in decimal form and not exact form, we can make our lives a little easier here and just use $x\approx3.36059492$ .

$y\approx6-\frac{1}2(3.36059492)-\frac{1}4\pi(3.36059492)$

 $y\approx6-(1.68029746+2.63940507809)$

 $\boxed{y\approx1.68029746191}$

Let's take our answers for $x$ and $y$ and round to 2 decimal places.

$\boxed{x\approx 3.36\ ft}$

$\boxed{y\approx 1.68\ ft}$

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3 years ago

What is the equivalent 6x + 15

vlabodo [156]

Step-by-step explanation:

6x + 15

3 (2x + 5)

(3 × 2x) + (3 × 5)

6 0

3 years ago