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V125BC [204]
4 years ago
15

Express each number as a single-digit integer times a power of 10. 24,755,183,009,522

Mathematics
1 answer:
jek_recluse [69]4 years ago
7 0
2 to the 12th power should be correct
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What is the slope of the line with these points (5, -3) (6, -1) (7, 1)
ycow [4]

Answer:

4/2

Step-by-step explanation:

Rise/Run

4/2

8 0
3 years ago
Read 2 more answers
An object is propelled upward from the top of a 300 foot building. The path that the object takes as it falls to the ground can
serg [7]

Answer:

As per the statement:

The path that the object takes as it falls to the ground can be modeled by:

h =-16t^2 + 80t + 300

where

h is the height of the objects and

t is the time (in seconds)

At t = 0 , h = 300 ft

When the objects hit the ground, h = 0

then;

-16t^2+80t+300=0

For a quadratic equation: ax^2+bx+c=0         ......[1]

the solution for the equation is given by:

x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}

On comparing the given equation with [1] we have;  

a = -16 ,b = 80 and c = 300

then;

t= \frac{-80\pm \sqrt{(80)^2-4(-16)(300)}}{2(-16)}

t= \frac{-80\pm \sqrt{6400+19200}}{-32}

t= \frac{-80\pm \sqrt{25600}}{-32}  

Simplify:

t = -\frac{5}{2} = -2.5 sec and t = \frac{15}{2} = 7.5 sec

Time can't be in negative;

therefore, the time it took the object to hit the ground is 7.5 sec

8 0
4 years ago
Help this is really hard
Agata [3.3K]

(2^8 *3^-5* 6^0)^-2 * ((3^-2)/(2^3))^4 * 2^28

anything to the 0 power is 1

(2^8 *3^-5* 1)^-2 * ((3^-2)/(2^3))^4 * 2^28

using the power of power property to take the power inside

(2^(8*-2) *3^(-5* -2) * (3^-2*4)/(2^3*4) * 2^28

simplify

2^ -16 * 3^10 * 3^-8 /2*12   * 2^28

get rid of the division by making the exponent negative

2^-16 * 3^10 * 3^-8 *2*-12   * 2^28

combine exponents with like bases

2^(-16-12+28) * 3^(10-8)

2^(0) *3^2

anything to the 0 power is 1

1*9

9




5 0
3 years ago
Read 2 more answers
(5x2+4xy-7)+(3x2+2xy+3)
Juliette [100K]

Answer:

8x² + 6xy - 4

Step-by-step explanation:

(5x² + 4xy - 7) + (3x² + 2xy + 3) ← remove parenthesis

= 5x² + 4xy - 7 + 3x² + 2xy + 3 ← collect like terms

= 8x² + 6xy - 4

3 0
2 years ago
Juan has a smartphone data plan that costs $50 per month that includes 6GB of data, but will charge an extra $40 per GB over the
andrew11 [14]

Answer:

(50+40x) dollars

Step-by-step explanation:

THe fixed cost is $50 (this includes everything and 6GB of data).

Now, for every GB <em>OVER</em> 6 GB he uses, company charges $40 extra.

So, if he used "x" GB EXTRA, his EXTRA cost will be 40 * x = 40x

Thus, his total cost in the month would be fixed cost PLUS the extra, which would be

50 + 40x dollars

3 0
3 years ago
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