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Brut [27]
2 years ago
15

suppose the integers from 1 to 25 are arranged in consecutive order. How many different pairs of integers may be selected if the

re are at least four integers between the selected integers?
Mathematics
1 answer:
stealth61 [152]2 years ago
7 0
There is 5 different pairs
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Without subtracting 8.5-4.64, determine what digit will be in the hundredths place. Explain.
Fofino [41]

Answer:

6

Step-by-step explanation:

8.5 can also be written as 8.50. If you take the digits in the hundredths place, 10 and 4, and subtract them, you get 6.

8 0
3 years ago
Use the following information to complete parts I, II, and III. 1 hour=3600 seconds
icang [17]

Answer:

I) There are 8.760\times 10^3 hours in 1 year.

II) The exact number of hours in one year is 8.76582\times 10^3 hours.

Step-by-step explanation:

Given : 1 hour=3600 seconds

1 year = 31556952 seconds.

To find :

I)  Use scientific notation to estimate the number of hours in one year.

1 day = 24 hours

1 year = 365 days

So, number of hours in one year is given by,

n=24\times 365

n=8760

In scientific notation,

8760=8.760\times 10^3

So, there are 8.760\times 10^3 hours in 1 year.

II) 1 year = 31556952 seconds.

1 hour = 3600 seconds

In one year the number of hour is given by,

n=\frac{31556952}{3600}

n=8765.82

In scientific notation,

8765.82=8.76582\times 10^3

So, the exact number of hours in one year is 8.76582\times 10^3 hours.

III) In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences.

  • The exact numbers of hours using 365 days is 8760 which is written as 8.760\times 10^3 in scientific notation but using the given data we get 8.76582\times 10^3 hours.
  • Comparing these answers the first one has only 3 significant figures and the second answer has six significant figures.
  • If we round these we get 8.8\times 10^3 hours which has two significant numbers.
8 0
3 years ago
What is the answer and how do you solve <br><br><br> 21x^3/3x^−1
Sunny_sXe [5.5K]

Answer:

  as written: 7x^2

  perhaps intended: 7x^4

Step-by-step explanation:

As written, the Order of Operations specifies that the only denominator factor is 3, so the expression is interpreted as ...

  \dfrac{21x^3}{3}x^{-1}=\dfrac{21}{3}x^{3-1}=7x^2

___

Sometimes grouping of denominator factors is intended, but parentheses are not written as they should be. If the intention is ...

  21x^3/(3x^-1)

then the simplification is ...

  \dfrac{21x^3}{3x^{-1}}=\dfrac{21}{3}x^{3-(-1)}=7x^4

_____

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^b/a^c = a^(b-c)

6 0
3 years ago
If m&lt;9=97 and m&lt;12=114, find each measure.
seropon [69]

Answer:

a. 97

b. 83

c.66

d. 114

e.83

f. 97

g. 114

h.66

i. 83

j. 66

k.83

l.97

m. 114

n. 66

6 0
3 years ago
T<br> ✓<br> Х<br> Find the sum of (x2 – 7x + 5) and (-3x2 - x + 10)<br> [
Zanzabum

Answer:

-2x² - 8x + 15 = 0

Step-by-step explanation:

Given the following algebraic expression;

x² – 7x + 5

-3x² - x + 10

To add the equation together;

x² – 7x + 5 + (-3x² - x + 10) = 0

x² – 7x + 5 - 3x² - x + 10 = 0

Collecting like terms, we have;

(x² - 3x²) - (7x + x) + (5 + 10) = 0

-2x² - 8x + 15 = 0

8 0
3 years ago
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