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3 years ago

7

Javia ran 8 laps around a track to run a total of 1 mile on Monday. How many laps will she need to run on Tuesday to run 3/8 of

a mile?

1 answer:

makkiz [27]3 years ago

5 0

He ran 3 because 8 times 3/8's is 24/8 is 3

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A biologist is studying a form of bacteria that grow 20% every hour

Artyom0805 [142]

Ok what is the question

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3 years ago

In an experiment, two numbers between 1 and 6 are chosen. the second number must be different than the first number. what is the

GREYUIT [131]

Pick a 3. P1/6
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3 years ago

Susan’s science class is performing an experiment that involves dropping objects from various heights, starting close to the gro

OlgaM077 [116]

Answer:

1) The function is monotonically increasing

2) The end behavior of the function is x tends to infinity as t(x) tends infinity

3) The x and y -intercept is (0, 0)

4) The endpoint is (0, 0)

5) The domain is 0 ≤ x ≤ +∞

The range is 0 ≤ t(x) ≤ +∞

Step-by-step explanation:

1) The given function of the time for the object to hit the ground is t(x) = 1/4·√x

Where;

x = The distance from the ground

t = The time it takes for the object to hit the ground

Monotonically increasing function, we have;

A function that is continuous on [a, b] and it can be differentiated in the domain, (a, b) is monotonically increasing when df(x)/dx > 0 for all values of x in (a, b)

However, where df(x)/dx < 0 for all values of x in (a, b), the function is decreasing

Therefore, using an online tool, we have;

dt(x)/dx = d(1/4·√x)/dx = 1/8 × 1/√x

Therefore, the dt(x)/dx > 0, for 0 < x < +∞ and the function is monotonically increasing

2) The end behavior of the function as x tends to infinity, t(x) = 1/4·√x approaches infinity

3) From the end behavior, and the nature, of the function t(x) = 1/4·√x, where both variables are directly proportional, we have that the x and y -intercept = (0, 0)

4) The endpoint is (0, 0) given that as t(x) tends to 0, x tends to 0

5) The domain is 0 ≤ x ≤ +∞

The range is 0 ≤ t(x) ≤ +∞.

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3 years ago

Read 2 more answers

What is the perimeter of 6ft and 4ft

Viktor [21]

it is 20 because you have to do 4+4+6+6

3 0

3 years ago

Read 2 more answers

Find the slope given: (-2,-1) & (-8, 11)<br> m =

vitfil [10]

Answer:

$\displaystyle m=-2$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-2, -1)

Point (-8, 11)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

Substitute in points [Slope Formula]: $\displaystyle m=\frac{11+1}{-8+2}$
[Fraction] Add: $\displaystyle m=\frac{12}{-6}$
[Fraction] Divide: $\displaystyle m=-2$

7 0

3 years ago