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Katen [24]
3 years ago
15

Is 25 x 10 to the power of 0 in scientific​ notation? If​ not, explain. Use pencil and paper. Explain why 10 is used as the base

in the second scientific notation factor.
Mathematics
1 answer:
lana66690 [7]3 years ago
4 0

Answer:

a) Scientific notation is written as a unit digit, that can have other digits after the decimal place, multiplied by 10 to the power of n, where n can be any integer number.

Then 25x10^0 is not scientific notation, because there are two digits at the left of the decimal point.

The scientific notation would be:

2.5x10^1

b) Why is this useful?

Because we divide all our measures in powers of 10.

For example, you know that 1 meter  = 100c

But we can also write this as:

1m = 1.0*10^3 cm.

The use of scientific notation comes useful because we can have a fast read of the dimensions of our measure, and in another hand, is way easier work with the 10 as a base when we solve equations.

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Primitive function for:<br><br> 1. f(x)=4e2x+e−x, sådan att F(0)=2
Free_Kalibri [48]

The primitive function for f(x) = 4e^{2x} + e^{-x} is given by it's indefinite integral.

To calculate it, recall:

\frac{d}{dx}e^{ax}=ae^{ax}

\int c f(x)dx = c\int f(x)dx

Let's begin

\int 4e^{2x}+e^{-x}dx \\4\int e^{2x}dx+ \int e^{-x}dx\\4\frac{e^{2x}}{2}+\frac{e^{-x}}{-1}  + c\\

F(x) = 2e^{2x}-e^{-x} +c

To find the costant, we just need to use the fact that F(0)=2

F(0) = 2 \\4e^{0}+e^{0} + c =2\\5+c =2\\c=-3

Therefore,

\boxed{F(x) = 2e^{2x} - e^{-x} -3 }

6 0
2 years ago
Deb has of a brownie. She wants to divide it up into 's of a brownie so she can have it throughout the day. How many 's will she
qaws [65]
The answer would be 3

4 0
3 years ago
A pizza parlor offers 3 sizes of pizzas, 2 types of crust, and one of 4 different toppings. How many different pizzas can be mad
KonstantinChe [14]

Answer:  The total number of  pizzas that can be made from the given choices is 24.

Step-by-step explanation:  Given that a pizza parlor offers 3 sizes of pizzas, 2 types of crust, and one of 4 different toppings.

We are to find the number of different pizzas that can be made from the given choices.

We have the <em><u>COUNTING PRINCIPLE :</u></em>

If we have m ways of doing one task and n ways of doing the second task, then the number of ways in which we can do both the tasks together is m×n.

Therefore, the number of different pizzas that can be made from the given choices is

N=3\times2\times4=24.

Thus, the total number of  pizzas that can be made from the given choices is 24.

5 0
3 years ago
What is the inverse of the function f(x) = 2x + 1?
soldier1979 [14.2K]

Answer: The inverse of the linear function f(x)=2x+1 is f^(-1) (x) = (1/2)x-1/2


Solution

f(x)=2x+1

y=f(x)

y=2x+1

Isolating x: Subtracting 1 both sides of the equation:

y-1=2x+1-1

y-1=2x

Multiplying both sides of the equation by 1/2:

(1/2)(y-1)=(1/2)2x

(1/2)y-1/2=x

x=(1/2)y-1/2

Changing "x" by "f^(-1) (x)" and "y" by "x":

f^(-1) (x) = (1/2)x-1/2

8 0
3 years ago
How do you solve each system by graphing
abruzzese [7]

See the attached graph

<h2>Explanation:</h2>

Hello! Remember to write complete questions in order to get good and exact answers. Here you don't provide any system so I couldn't help you in an exact way, but in a general manner. When solving systems by graphing we just need to find the points of intersection of the graphs of the functions that built up the system.

Suppose you have the following system of linear equation:

\left\{ \begin{array}{c}y=2x+3\\3y=8x+27\end{array}\right.

yBy using graphing tools, we get the graph shown below. As you can see, the point of intersection of both lines is (-9,-15)

<h2>Learn more:</h2>

Solving systems by graphing: brainly.com/question/13799715

#LearnWithBrainly

8 0
3 years ago
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