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Sphinxa [80]
3 years ago
14

In general, when a number written in scientific notation includes a positive exponent, the magnitude of the number is __________

.
A. negative
B. positive
C. less than one
D. greater than one
Mathematics
2 answers:
Masteriza [31]3 years ago
8 0
Scientific notation is als<span>o </span>called power-of-10 notation, is a method of writing extremely large and small numbers.

when a number written in scientific notation includes a positive exponent, the magnitude of the number is <span>greater than one</span>
QveST [7]3 years ago
5 0

Answer:

d. Greater than one

Step-by-step explanation:

Scientific Notation is a way to represent very large or very less real number into easier way so that we may able to use them into our calculations.

It consist of two part  a part containing the real number in decimals and the other part which is multiplied to the first part is in the form of 10 raise to some power. this exponent can be either positive or negative If it is positive the complete number is greater than one and if the exponent is negative the number is less than one.

Ex:

12123456789 = 1.2 x 10^{10}

0.000000000345 = 3.45 x 10^{10}

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6 pounds of apples and 3 pounds of oranges cost 24 dollars.5 pounds of apples and 4 pounds of oranges cost 23 dollars. Set up a
vitfil [10]

Answer:cost of each pound of apple= $3

And cost of each pound of orange =$2

Step-by-step explanation:

Step 1

Let cost of apples = x

And cost of Oranges =y

Let 6 pounds of apples and 3 pounds of oranges cost 24 dollars be represented as

6 x + 3y= 24----- equation 1

Also, Let 5 pounds of apples and 4 pounds of oranges cost 23 dollars be represented as

5x+ 4y= 23----- equation 2

Step 2

6 x + 3y= 24----- equation 1

5x+ 4y= 23----- equation 2

Using substitution method to solve the equation

6 x + 3y= 24

24-6x=3y

y= 24-6x/3 = 8-2x

Y= 8-2x

Substituting the value of y= 8-2x  into equation 2

5x+ 4( 8-2x)= 23

5x+ 32 -8x= 23

32-23= 8x-5x

9=3x

x=9/3

x=3

Putting the value of x= 3 in equation 1 and solving to find y

6 x + 3y= 24

6(3) +3y= 24

18+3y=24

3y= 24-18

3y=6

y=6/3= 2

Therefore the cost of each pound of apple= $3

And cost of each pound of orange =$2

8 0
3 years ago
Check off the methods of differentiation required, and complete the derivative.
kogti [31]

Given:

f(x)=\sqrt[]{5x^2-2}

f(X) will be differentiated by chain rule.

\begin{gathered} f^{\prime}(x)=\frac{1}{2\sqrt[]{5x^2-2}}\lbrack5(2x)\rbrack \\ f^{\prime}(x)=\frac{5x}{\sqrt[]{5x^2-2}} \end{gathered}

6 0
1 year ago
Find the mean for the group of data items. Round to the nearest hundredth, if necessary.
Ilya [14]

Answer:

The mean is 60.17 if round to the nearest hundredth.

Step-by-step explanation:

Add all the numbers together to get 361, then divide by 6 because that is how many numbers were added together.

7 0
3 years ago
sam can fill 7 glasses with soda every 29.1 seconds. How long would it take Sam to fill 14 glasses and 21 glasses with soda
alekssr [168]
It would take him 58.2 seconds to fill 14 glasses and it would take him 87.3 seconds to fill 21 glasses
7 0
3 years ago
The function f(x) = x2 + 22x + 58 is translated 4 units to the right and 16 units up. What is the vertex form of the new functio
kap26 [50]

Answer:

The new function is (x + 7)² - 47 ⇒ the 3rd answer

Step-by-step explanation:

* Lets put the function f(x) in the vertex form at first and then make

 the translation

∵ The general form of the quadratic function is

  f(x) = ax² + bx + c

∵ The x-coordinate of the vertex of the function is -b/2a

∵ The y-coordinate of the vertex of the function is f(-b/2a)

- Lets find a , b from the function two find the vertex point

∵ f(x) = x² + 22x + 58

∴ a = 1 , b = 22 , c = 58

∵ x-coordinate of the vertex = -b/2a

∴ x-coordinate of the vertex = -22/2(1) = -11

∵ y-coordinate of the vertex = f(-11)

∴ f(-11) = (-11)² + 22(-11) + 58 = 121 - 242 + 58 = -63

∴ The vertex point is (-11 , -63)

- The vertex form of the quadratic function is f(x) = (x - h)² + k , where

  (h , k) are the coordinates of the vertex point

∵ The vertex point is (-11 , -63)

∴ h = -11 , k = -63

∴ f(x) = (x - -11)² + -63

∴ f(x) = (x + 11)² - 63

* lets revise the rules of the translation

- If the function f(x) translated horizontally to the right  

 by m units, then the new function g(x) = f(x - m)

- If the function f(x) translated horizontally to the left  

 by m units, then the new function g(x) = f(x + m)

- If the function f(x) translated vertically up  

 by n units, then the new function g(x) = f(x) + n

- If the function f(x) translated vertically down  

 by n units, then the new function g(x) = f(x) – n

∵ f(x) will translate 4 units to the right

∴ m = 4

∵ f(x) ⇒ f(x - m)

∴ (x + 11)²  ⇒ (x + 11 - 4)² = (x + 7)²

∵f(x) will translate 16 units up

∴ -63 will add by 16

∴ n = 16

∴ f(x) ⇒ f(x) + n

∵ -63 + 16 = -47

∴ The new function is (x + 7)² - 47

5 0
3 years ago
Read 2 more answers
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