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3 years ago

8

What is the correct representation of the number 0.00000000023 in scientific notation

1 answer:

AVprozaik [17]3 years ago

8 0

Answer:

2.3*10^-10

Step-by-step explanation:

2.3 because that number can never be higher than 10

-10 because there are 10 spots from where the decimal is to where it needs to be for it to be 2.3

-10 because the number is small

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Use f’( x ) = lim With h ---> 0 [f( x + h ) - f ( x )]/h to find the derivative at x for the given function. 5-x²

beks73 [17]

<h2>Answer:</h2>

The derivative of the function f(x) is:

$f'(x)=-2x$

<h2>Step-by-step explanation:</h2>

We are given a function f(x) as:

$f(x)=5-x^2$

We have:

$f(x+h)=5-(x+h)^2\\\\i.e.\\\\f(x+h)=5-(x^2+h^2+2xh)$

( Since,

$(a+b)^2=a^2+b^2+2ab$ )

Hence, we get:

$f(x+h)=5-x^2-h^2-2xh$

Also, by using the definition of f'(x) i.e.

$f'(x)= \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}$

Hence, on putting the value in the formula:

$f'(x)= \lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-(5-x^2)}{h}\\\\\\f'(x)=\lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-5+x^2}{h}\\\\i.e.\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2-2xh}{h}\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2}{h}+\dfrac{-2xh}{h}\\\\f'(x)=\lim_{h \to 0} -h-2x\\\\i.e.\ on\ putting\ the\ limit\ we\ obtain:\\\\f'(x)=-2x$

Hence, the derivative of the function f(x) is:

$f'(x)=-2x$

3 0

3 years ago

Read 2 more answers

B. To make salad dressing for the fruit salad, Mrs. Santos uses 2/4 cup oil, 1 cup orange juice, and 3/4 cup honey. How many cup

Ket [755]

Answer:

$\sf 2 \frac14 \ cups$

Step-by-step explanation:

Add the amounts together:

$\sf \implies \dfrac24+1+\dfrac34$

Convert the whole number 1 into a fraction with denominator 4:

$\sf \implies \dfrac24+\dfrac44+\dfrac34$

As all the denominators are the same, we can simply add the numerators:

$\sf \implies \dfrac{2+4+3}4$

$\sf \implies \dfrac94$

Finally, convert the improper fraction into a mixed number:

$\sf \implies 2 \frac14 \ cups$

5 0

2 years ago

Read 2 more answers

Calculate the perimeter of the figure shown below.

Julli [10]

Answer:

Step-by-step explanation:

perimeter means that you add up all the sides do the perimeter is 41

3 0

3 years ago

Two numbers multiply to be -7 and add to be -6. What are the numbers?<br><br> Example; 2,3

rewona [7]

<u>Given</u>:

Let the two numbers be x and y.

Two numbers multiply to be -7 and add to be -6.

This can be written in equation as,

$xy=-7$ and

$x+y=-6$

<u>Value of the two numbers:</u>

Let us determine the value of the two numbers using substitution method.

Substituting $y=-6-x$ in the equation $xy=-7$ , we get;

$x(-6-x)=-7$

Simplifying, we get;

$-6x-x^2=-7$

$x^2+6x-7=0$

$(x+7)(x-1)=0$

$x=-7, 1$

Thus, the values of x are x = 1,-7

When x = 1 , the equation $x+y=-6$ becomes $y=-7$

When x = -7, the equation $x+y=-6$ becomes $y=1$

Therefore, the two numbers are 1 and -7

3 0

3 years ago

Sahana sells two products for ₹. 8000 each gaining 8% on one and losing 6% on the other. Find her gain or loss percent in the wh

Margaret [11]

Based on the information given the gain or loss percent on the whole transaction is 1%.

<h3>Gain or loss percent: </h3>

First step is to calculate the profit on the whole transaction

Profit=(8%×8,000)-(6%×8,000)

Profit=$640-$480

Profit=$160

Now let calculate the gain or loss percentage on the whole transaction

Gain or loss percentage=160/(8000+8000)×100

Gain or loss percentage=160/16000×100

Gain or loss percentage=1%

Inconclusion the gain or loss percent on the whole transaction is 1%.

Learn more about gain or loss here:brainly.com/question/25278228

5 0

2 years ago