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nignag [31]
3 years ago
12

Starting from the same place, Karina walks due west and Lucas walks due east. On the number line, 0 represents their starting po

int, negative values represent the distance traveled west and positive values represent the distance traveled east. All values are given in feet. How many feet apart are Karina and Lucas on the number line? Enter your answer in the box.
Mathematics
1 answer:
Helen [10]3 years ago
6 0

Answer:

The answer is 480

Step-by-step explanation:

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Subtract and simplify 10 - 5 1/8
asambeis [7]
10 - 5 1/8

Convert 5 1/8 into an improper fraction.

We do this by multiplying the denominator to the whole number and adding it to the numerator, and wee keep the denominator.

8 * 5 = 40 + 1 = 41/8

10 - 41/8

Convert 10 to a denominator of 8:

10 * 8 = 80
1 * 8 = 8

80/8 = 41/8

Subtract the numerators together and keep the denominator:

39/8

Convert to a mixed number:

4 7/8
3 0
3 years ago
Read 2 more answers
Find the smallest integer n for an O(xn) estimate of order of the function f(x)
alexdok [17]

Answer with explanation:

f(x)=\frac{(x^3+x^2+5)(x^4-3x^2)}{(2x^2+2x-3)(4x^2+7)}\\\\f(x)=\frac{x^3\times (x^4-3x^2)+x^2 \times (x^4-3x^2)+5 \times (x^4-3x^2)}{2x^2\times (4x^2+7)+2x(4x^2+7)-3\times (4x^2+7)}\\\\f(x)=\frac{x^7-3x^5+x^6-3x^4+5x^4-15x^2}{8x^4+14x^2+8x^3+14 x-12x^2-21}\\\\f(x)=\frac{x^7+x^6-3x^5+2x^4-15x^2}{8x^4+8x^3+2x^2+14 x-21}

The largest degree of numerator is 7 , while the largest degree of denominator is 4.So, as we know

 \frac{x^a}{x^b}=x^{a-b}\\\\\frac{x^7}{x^4}=x^{7-4}\\\\=x^3

→So, order of the function is the highest degree in the function raised to power.Highest degree is 3,when you will reduce the function in Expression form.

So, Degree=3

Order=1

6 0
3 years ago
Our solar system is approximately 27,000 light-years from the center of the Milky Way. Therefore, what is true when we observe t
aalyn [17]

Answer:

We are observing the galactic center as it was 27,000 years ago

Step-by-step explanation:

The Galactic Center, or Galactic Centre, is the rotational center of the Milky Way. It is 8,122 ± 31 parsecs (26,490 ± 100 ly) away from Earth in the direction of the constellations Sagittarius, Ophiuchus, and Scorpius where the Milky Way appears brightest. It coincides with the compact radio source Sagittarius A*

5 0
3 years ago
A balloon holds 5.2 cubic feet of air. The balloon is blown up larger to hold 8.3 cubic feet of air. What is the percent
Eddi Din [679]

Answer:

8.3+5.2

Step-by-step explanation:

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A medical company tested a new drug for possible side effects. The table
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