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trapecia [35]
3 years ago
14

Using scientific notation, what is the solution to (5.75 * 104) / (2.5 * 103)?

Mathematics
2 answers:
mina [271]3 years ago
8 0
The answer to your point of you is not to is 6
Zarrin [17]3 years ago
7 0
<h3>Answer: Choice D) 2.3 * 10^1</h3>

======================================

Work Shown:

(a * 10^b) \div (c * 10^d) = \frac{a}{c}*10^{b-d}\\\\(5.75 * 10^{4}) \div (2.5 * 10^{3}) = \frac{5.75}{2.5}*10^{4-3}\\\\(5.75 * 10^{4}) \div (2.5 * 10^{3}) = 2.3*10^{1}\\\\

Side note,

2.3 *10^1 = 23

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Answer:

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Q1

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8 0
4 years ago
How to solve number 1?
Archy [21]
E(x)=5(x-1)(x+2)-(x+2)^2\\\\1)\ 5(x^2+2x-x-2)-(x^2+2x\cdot2+2^2)\\=5(x^2+x-2)-(x^2+4x+4)\\=5x^2+5x-10-x^2-4x-4\\=4x^2+x-14\neq4x^2+x+1\\\\2)\ E(x)=1\ for\ E(x)=4x^2+x+1\\\\4x^2+x+1=1\ \ \ \ |subtract\ 1\ from\ both\ sides\\4x^2+x=0\\x(4x+1)=0\iff x=0\ \vee\ 4x+1=0\\x=0\ \vee\ 4x=-1\\\boxed{x=0\ \vee\ x=-0.25}

3)\ H(x)=9x^2-(2x+1)^2\\\\a.\ H(x)=(3x)^2-(2x+1)^2=[3x-(2x+1)](3x+2x+1)\\=(3x-2x-1)(5x+1)=(5x+1)(x-1)\\\\b.\ H(x)=0\\\\(5x+1)(x-1)=0\iff5x+1=0\ \vee\ x-1=0\\5x=-1\ \vee\ x=1\\\boxed{x=-0.2\ \vee\ x=1}
5 0
3 years ago
The area of a rectangle is <img src="https://tex.z-dn.net/?f=14ft%5E2" id="TexFormula1" title="14ft^2" alt="14ft^2" align="absmi
svetlana [45]

Answer:

So, Width  = 7/2 or 3.5

Length =  4

Step-by-step explanation:

Area of rectangle = 14 ft^2

Let width of rectangle 2 = x

and Length of rectangle = 2x-3

Formula used for area of rectangle

Area = Length * Width

14 = (2x - 3) x

14 = 2x^2 - 3x

=> 2x^2 -3x -14 = 0

Solving the quadratic equation using factorization

-28 x^2 = -7x * -4x

2x^2 -7x + 4x -14 = 0

x (2x -7) +2(2x-7) = 0

(x+2) (2x-7) =0

=> x + 2 =0 and 2x -7 = 0

x = -2 and x = 7/2

Since width cannot be negative so, x= 7/2

Width= x = 7/2

Length = 2x -3 => 2(7/2) - 3

=> 7 -3

=> 4

So, Width =  7/2 or 3.5

Length =  4.

7 0
4 years ago
Read 2 more answers
$22 is how mush in quarters, how do u find that out??
Serhud [2]
$22 = 88 quarters
One dollar = Four quarters
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22 x 3 = 66
22 x 4 = 88
7 0
3 years ago
Read 2 more answers
We want to know if there is a difference between the mean list price of a three bedroom home, , and the mean list price of a fou
Vitek1552 [10]

Answer:

The alternative hypothesis will state that there is significant difference between the mean list price of a three bedroom home and the mean list price of a four bedroom home.

H_a:\mu_1-\mu_2\neq 0

Step-by-step explanation:

This would be an two-sample hypothesis test for the difference between two means.

As we are looking for differences, we are not testing if one population mean is bigger than the other. This will  be a two-tailed test and the alternative hypothesis will have a unequal sign.

The alternative hypothesis will state that there is significant difference between the mean list price of a three bedroom home and the mean list price of a four bedroom home.

This can be written as:

H_a:\mu_1-\mu_2\neq 0

meaning that the population means are significantly different.

3 0
4 years ago
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