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3 years ago

Explain how to write 1.25 times 10 to the negative third power in standard form

1 answer:

8 0

This is called "Scientific Notation"

$1.25 \times {10}^{ - 3}$
So you will always see the 10... Don't worry about it but worry if it is negative or positive because the sign will determine how to move the decimal point.

So, since it is negative then we will be moving the decimal point to the left. And, if it was a positive 3 then we'd move the decimal point to the right!

We will be moving it to the left "3" times because it says - 3 not - 5, etc...
$1.25 \times {10}^{ - 3} = 0.00125$
So just move the decimal 3 times in this case and there you go, your standard form. I forgot what the other form is but I can still solve for it...

I hope this helped if you have any questions then feel free to ask!!

You might be interested in

Find f'(x) and state the domain of f': f(x) = In (2x^2+1)

-Dominant- [34]

Answer:

$f'(x) = \frac{4x}{2x^2+1}$

Domain: All Real Numbers

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Derivative: $\frac{d}{dx} [ln(u)] = \frac{u'}{u}$

Step-by-step explanation:

Step 1: Define

f(x) = ln(2x² + 1)

Step 2: Differentiate

Derivative ln(u) [Chain Rule/Basic Power]: $f'(x) = \frac{1}{2x^2+1} \cdot 2 \cdot 2x^{2-1}$
Simplify: $f'(x) = \frac{1}{2x^2+1} \cdot 4x$
Multiply: $f'(x) = \frac{4x}{2x^2+1}$

Step 3: Domain

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.

5 0

2 years ago

A grocery store sells a bag of 6 oranges for $4.20. If ayden spent $2.80 on oranges,how many did he buy?

BaLLatris [955]

Ayden bought 4 oranges.
Explanation:
4.20 divided by 6 will give you 0.7
0.7 times 4 gives you 2.8

6 0

3 years ago

Please help me with both questions!

vova2212 [387]

Answer:

maximum area will be 1058 square yards

maximum height will be 81 feet

Step-by-step explanation:

P = 2L +2W

but in this case it will be P= L+2W and P=92 yards

L+2W = 92

Solve for L , L = 92-2W

The area of rectangle A = L x W

Plug in L and simplify: A = (92-2W)W =92W -2W²

Plot in your calculator and look for maximum so when the width is 23 yards maximum area will be 1058 square yards.

Second problems is the maximum height of the rocket. Maximum will be at the vertex of the upside-down parabola.

7 0

2 years ago

If d = 2, what is the value of 8/4−d? 1 43 4 0

Arada [10]

To solve this plug 2 in for d in the equation like so:

$\frac{8}{4} - 2$

The fraction $\frac{8}{4}$ can be simplified to 2.

How I found this:

The greatest common factor of 8 and 4 is 4.

If we divide 8 by 4 you get 2

If you divide 4 by 4 you would get 1

That gives you the simplified fraction:

$\frac{2}{1}$ Which is the same as simply 2

Now we have the expression:

2 - 2

^^^ A number subtracted from itself is always zero

The answer is:

Hope this helped!

~Just a girl in love with Shawn Mendes

8 0

2 years ago

One number is 6 more than another. the difference between their squares is 192. what is the numbers?

Masteriza [31]

Let the number be x.
then the number is (x + 6)
the difference between their squares is 192
(x + 6)² - x² = 192

expanding we get;

x² + 12x + 36 - x² = 192
12x + 36 = 192
12x = 192 - 36
12x = 156
x = 13

the numbers are 13 and 19.

hope this helps, God bless!

7 0

3 years ago