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pychu [463]
3 years ago
12

Convert 108,208,930 in to scientific notation

Mathematics
2 answers:
nekit [7.7K]3 years ago
7 0
Hello,

Shall we begin?

<span>108,208,930
</span>
= 1.0820893* 10^8

Answers: 1.0820893* 10^8
____ [38]3 years ago
4 0

The correct answer is: 1.0820893* 10^8

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There are 36 bikes in a store (18 pairs). 1 pair(s) are yellow, 3 pairs are red, and the rest are purple. If you took out a purp
LenaWriter [7]

Answer: 27/36

Step-by-step explanation: It says there are 36 bikes (18 pairs), meaning that there are 2 bikes per pair because 18 multiplied by 2 is 36.

1 pair (2 bikes) are yellow.

3 pairs (6 bikes) are red.

For purple, add yellow and red together: 2 + 6 = 8. Subtract the total number of bikes from this: 36 - 8 = 28 purple bikes.

If you take out 1 purple bike, this leaves you with 27. The probability of choosing a purple bike out of the total (36), is 27/36.

Please let me know if this is correct or wrong.

8 0
3 years ago
Which of the following are identities?
podryga [215]

Answer:

A. III only

Step-by-step explanation:

In mathematics, an identity is one of the characteristics of algebraic expressions.

Given variable a and b in an algebraic expression, an identity is defined as an equality that remains the same no matter the values that we choose for either variable a or b.

Identity in mathematics makes it very easy to solve algebraic expressions. The two sides of an identity in an algebra can easily be exchanged for each other.

In the above question, we are given 3 Options.

I) 3(5 + 2x) = 15 + 6x

II) y = x + 3

III) (x² - y²) = (x + y) (x - y)

Option I) 3(5 + 2x) = 15 + 6x

Is showing distributive property in mathematics.

Distributive property is :

a(b + c) = ab + ac

Option I is not an identity , therefore it is wrong.

Option II) y = x + 3 is just an algebraic expression.

Only Option III is an identity. This is because it follows the rule of

(a² - b²) = (a + b) (a - b)

We can prove and confirm this be solving the algebraic expression

(x + y) (x - y)

We expand the bracket

x² - xy +xy - y²

x² - y²

Therefore, option A is the correct option.

6 0
3 years ago
Read 2 more answers
Prove that the following four points will form a rectangle when connected in order
Lemur [1.5K]

Answer:

Step-by-step explanation:

If the diagonals of the rectangle are congruent,

AC = BD

By using formula to calculate the distance between two points,

Distance between two points = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Distance between A(0, -3) and C(2, 8),

AC = \sqrt{(8+3)^2+(2-0)^2}

     = \sqrt{125}

     = 5\sqrt{5}

Similarly, distance between two points B(-4, 0) and D(6, 5),

BD = \sqrt{(5-0)^2+(6+4)^2}

     = \sqrt{125}

     = 5\sqrt{5}

Therefore, both the diagonals are congruent.

Hence, given quadrilateral ABCD is a rectangle.

8 0
3 years ago
Find the area of the shaded region.
valentina_108 [34]

Answer:

Area of the circle= π(27.8²)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Given f'(x)=(x-4)(6-2x) find the x-coordinate for the relative minimum of the graph f(x).
vlabodo [156]
<span>The graph you plotted is the graph of f ' (x) and NOT f(x) itself. </span>

Draw a number line. On the number line plot x = 3 and x = 4. These values make f ' (x) equal to zero. Pick a value to the left of x = 3, say x = 0. Plug in x = 0 into the derivative function to get

f ' (x) = (x-4)(6-2x)
f ' (0) = (0-4)(6-2*0)
f ' (0) = -24

So the function is decreasing on the interval to the left of x = 3. Now plug in a value between 3 and 4, say x = 3.5

<span>f ' (x) = (x-4)(6-2x)
</span><span>f ' (3.5) = (3.5-4)(6-2*3.5)
</span>f ' (3.5) = 0.5

The function is increasing on the interval 3 < x < 4. The junction where it changes from decreasing to increasing is at x = 3. This is where the min happens.

So the final answer is C) 3
5 0
3 years ago
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