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2 years ago

Consider the graph of function f.

Mathematics

1 answer:

satela [25.4K]2 years ago

7 0

As x heads off to negative infinity (towards the left side), the curve slowly approaches the horizontal line y = 1. It will never actually touch or cross this horizontal line. It simply gets closer and closer. Think of it as an electric fence of sorts.

Therefore the horizontal asymptote is y = 1

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A baby was born 3/4 of a month early. At birth its weight was 7/8 kilograms, which is 9/10 kilograms less than the average weigh

BlackZzzverrR [31]

Answer:

The average weight of a newborn otter is 1.775 kg.

Step-by-step explanation:

We are given the following in the question:

Weight of newborn otter =

$\dfrac{7}{8}\text{ kg}$

Let x lg be the average weight of a newborn otter.

Thus, we are given the relation:

$\dfrac{7}{8} = x - \dfrac{9}{10}\\\\x = \dfrac{7}{8} + \dfrac{9}{10}\\\\x = \dfrac{35+36}{40} = \dfrac{71}{40}\\\\x = 1.775\text{ kg}$

Thus, the average weight of a newborn otter is 1.775 kg.

7 0

3 years ago

A bicyclist travels at a constant rate of 11miles in 1/4hour. Find the unit rate of the hikers in miles per hour

MissTica

11 miles in 1/4 hour
1/4 of an hour is 15 minutes
so 11 in 15 minutes
x /60 = 11/15
cross multiply
x*15 = 60 * 11
15x = 660
divide both sides by 15
x = 44

the unit rate of the hikers in miles per hour is 44 mph.

You can also solve like this
1/4 of hour is 15 minutes
to get to the whole hour you would multiply by four
so you'd (11miles in 1/4 hour) * 4
44 miles in 1 hour

Hope this helps :)

7 0

2 years ago

Write 2.06•10^10 in standard form.

gavmur [86]

Answer:

20600000000

Step-by-step explanation:

Move the decimal over 10 times

7 0

3 years ago

Read 2 more answers

Saji swims 1/3 mi every day. One day he had already swum 1/5 mi. How much further should he swim?

grigory [225]

9514 1404 393

Answer:

2/15 mi

Step-by-step explanation:

The difference of two fractions can always be computed using the pattern ...

$\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bd}{bd}$

Using this pattern to find the difference of 1/3 and 1/5, we see it is ...

1/3 -1/5 = (5 -3)/(3·5) = 2/15

Saji must swim 2/15 miles further to complete his 1/3 mile swim.

4 0

2 years ago

Use the distributive property to fill in the blanks below

Marianna [84]

Answer:

Step-by-step explanation:

Here is the complete question: Use the distributive property to fill in the blanks below

$4\times (2-1)= (\__\times 2)-(\__\times 1)$

As per Distributive property of multiplication, a number is multiplied to the number inside the parenthesis separately, then adding or substracting the product of the number to get result, which is equal to the number multiplied directly to the sum of the number inside the parenthesis.

As we in given question we can see:

$4\times (2-1)= (\__\times 2)-(\__\times 1)$

If we multiply 4 separately to 2 and 1 as per distributive property of multiplication.

∴ $4\times (2-1)= (4\times 2)-(4\times 1)$

Hence, 4 will be the number in the blank.

5 0

3 years ago