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Alex Ar [27]
3 years ago
15

Which list is in order from least to greatest? A) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3 B) 2.5 *10^3, 7 * 10^3, 9.25 *

10^-6, 9.4 * 10^-8. C) 9.25 * 10^-6, 9.4 * 10^-8, 7 * 10^3, 2.5 * 10^3 D) 9.4 * 10^-8, 9.25 * 10^-6, 7 * 10^3, 2.5 * 10^3
Mathematics
2 answers:
vladimir1956 [14]3 years ago
6 0

ANSWER

A) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3

EXPLANATION

The numbers are given in standard form.

The first criteria we will use to order them is the exponents.

The bigger the exponents the bigger the number.

The second criteria is that, if the exponents of any two numbers are the same, then we use the numbers multiplying the powers of 10 to order.

9.4 * 10^{-8}  \: <   \: 9.25 * 10^{-6} \:  <  \: 2.5 * 10^3 \:  <  \: 7* 10^3

The correct choice is A.

Lynna [10]3 years ago
3 0

Answer:

Option A. 9.4\times 10^{-8}< 9.25\times 10^{-6}< 2.5\times 10^{3}

Step-by-step explanation:

The given numbers are 9.4\times 10^{-8}, 9.25\times 10^{-6}, 2.5\times 10^{3},7\times 10^{3}.

These are numbers written in scientific notation.

To identify the order of the numbers from least to greatest we will convert the numbers into the standard from.

9.4\times 10^{-8} = 0.000000094

9.25\times 10^{-6} = 0.00000925

2.5\times 10^{3} = 2500

7\times 10^{3} = 7000

Now we can arrange then from least to greatest.

0.000000094 < 0.00000925 < 2500 < 7000

OR

9.4\times 10^{-8}< 9.25\times 10^{-6}< 2.5\times 10^{3}

Option A. is the answer.

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photoshop1234 [79]
I believe the answer is C.
8 0
2 years ago
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n200080 [17]

The correct answer is 5, 3. As x increases by 1, y increases by 1 as well.

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5 0
3 years ago
What is the nth term rule of the quadratic sequence below? 4,15,30,49,72,99,130,...
navik [9.2K]

Answer:

The nth term rule of the quadratic sequence is 2n^{2} +5n-3.

Step-by-step explanation:

We are given the following quadratic sequence below;

4, 15, 30, 49, 72, 99, 130,...

As we know that the formula for the nth term of the quadratic sequence is given by =  an^{2}+bn+c

Firstly, we will find the difference between the term of the given sequence;

1st difference of the given sequence;

(2nd term - 1st term), (3rd term - 2nd term), (4th term - 3rd term), (5th term - 4th term), (6th term - 5th term), (7th term - 6th term)

= (15 - 4), (30 - 15), (49 - 30), (72 - 49), (99 - 72), (130 - 99),....

= (11, 15, 19, 23, 27, 31,.....)

Now, we will find the second difference of the given sequence, i.e;

= (15 - 11), (19 - 15), (23 - 19), (27 - 23), (31 - 27),....

= (4, 4, 4, 4, 4)

Since the differences are same now, so to find the value of a we have to divide the value of second difference by 2, i.e;

The value of a  =  \dfrac{4}{2} = 2

SO, the first term of the nth term rule equation is an^{2} = 2n^{2}.

Now, in the term 2n^{2}, put the value of n = 1, 2, 3, 4 and 5 and then form the sequence, i.e;

If n = 1, then 2n^{2} = 2 \times (1)^{2} = 2

If n = 2, then 2n^{2} = 2 \times (2)^{2} = 8

If n = 3, then 2n^{2} = 2 \times (3)^{2} = 18

If n = 4, then 2n^{2} = 2 \times (4)^{2} = 32

If n = 5, then 2n^{2} = 2 \times (5)^{2} = 50

SO, the sequence formed is (2, 8, 18, 32, 50).

Now, find the difference of this sequence and the original quadratic sequence, i.e;

= (4 - 2), (15 - 8), (30 - 18), (49 - 32), (72 - 50)

= (2, 7, 12, 17, 22)

Now, as we can see that the above sequence resembles the general form of (5n - 3) because:

If we put n = 1, then (5n - 3) = 5 - 3 = 2

If we put n = 2, then (5n - 3) = 10 - 3 = 7 and so on....

From this, we concluded that the value of b and c are 5 and (-3) respectively.

Hence, the nth term rule for the given quadratic sequence is 2n^{2} +5n-3.

7 0
2 years ago
Circle A is shown with a central angle marked 37 degrees and the radius marked 10 inches.
Greeley [361]

Answer:

Hello! Your answer would be, D)π(37in) 5 over 360

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon! Hope you make a 100%! -Amelia

4 0
3 years ago
What is the angle measure of the smaller angle ? (Geometry)
Zina [86]

Answer:

85

Step-by-step explanation:

2x+192=180

2x= -12

x= -6

-6+91= 85

4 0
3 years ago
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