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2 years ago

What is the average rate of change of f over the interval [-1, 4] Give an exact number.

Mathematics

1 answer:

Sonbull [250]2 years ago

3 0

Answer:

1.4

Step-by-step explanation:

The average rate of change is the "rise" divided by the "run".

rise/run = (f(4) -f(-1))/(4 -(-1)) = (0 -(-7))/(4+1)

rise/run = 7/5 = 1.4

The average rate of change on the interval [-1. 4] is 1.4.

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ANSWER ASAP!!!

denis23 [38]

Answer:

Then, the object will take 29.11 min to travel $4\frac{9}{10}miles$

Step-by-step explanation:

When an object is moving at a steady speed, we can calculate the time it would take to travel a given distance using the following formula:

$time=\frac{distance}{speed}$ (equation 1)

In this particular, both the given speed and distance are mixed fractions so we'll first convert them into improper fractions to operate more easily:

$speed=10\frac{1}{10} \frac{mi}{h} =\frac{(10*10)+1}{10} \frac{mi}{h}=\frac{101}{10} \frac{mi}{h}$

$distance=4\frac{9}{10}mi=\frac{(4*10)+9}{10}mi=\frac{49}{10}mi$

So, now we can calculate the time using the equation 1:

$time=\frac{distance}{speed}=\frac{\frac{49}{10}mi }{\frac{101}{10} \frac{mi}{h} } =\frac{49*10}{101*10} h$

$time=\frac{49}{101}h=0.49h$

And, if we want the result in minutes:

$time=\frac{49}{101}h*\frac{60min}{1h} =29.11min$

Then, the object will take 29.11 min to travel $4\frac{9}{10}miles$

5 0

2 years ago

A tower is 234 meters tall. Jaylon is looking up at the top of the tower and thinking it would be cool to string a zip line from

gizmo_the_mogwai [7]

Answer:

A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.

Step-by-step explanation:

The geometrical representation of the statement is summarized in the figure below attached. The length of the line is represented by hypotenuse of the right triangle, whose value is calculated by the help of trigonometrical relations:

$\cos \alpha = \frac{h}{r}$ (1)

Where:

$\alpha$ - Angle formed between the zip line and the tower, measured in sexagesimal degrees.

$h$ - Vertical distance between the tower and the platform, measured in meters.

$r$ - Length of the zip line, measured in meters.

If we know that $\alpha = 76^{\circ}$ and $h = 232.1\,m$ , then the length of the zip line is:

$r = \frac{h}{\cos \alpha}$

$r = \frac{232.1\,m}{\cos 76^{\circ}}$

$r = 959.401\,m$

A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.

5 0

2 years ago

Help please If f(x) = -3x - 5 and g(x) = 4x-2, find (1-9)(x).

Mandarinka [93]

9514 1404 393

Answer:

-7x -3

Step-by-step explanation:

(f -g)(x) = f(x) -g(x) = (-3x -5) -(4x -2)

(f -g)(x) = -3x -5 -4x +2 = (-3-4)x +(-5+2)

(f -g)(x) = -7x -3

4 0

3 years ago

Solve for x and y: <br> Thanks for the help!

sweet-ann [11.9K]

Answer:

x = 2

y = 15

Step-by-step explanation:

As the triangle is split with a line that is parallel to the base:

$\implies x:6=6:18$

$\implies \dfrac{x}{6}=\dfrac{6}{18}$

$\implies x=\dfrac{6\cdot 6}{18}$

$\implies x=\dfrac{36}{18}$

$\implies x=2$

Similarly:

$\implies y:20=6 : (6+x)$

$\implies y:20=6:8$

$\implies \dfrac{y}{20}=\dfrac68$

$\implies y=\dfrac{6 \cdot 20}{8}$

$\implies y=\dfrac{120}{8}$

$\implies y=15$

7 0

2 years ago

Read 2 more answers

Suppose that you begin saving up to buy a car by depositing a certain amount at the end of each month in a savings account which

SpyIntel [72]

Answer:

$2,221.6 monthly

Step-by-step explanation:

A = P(1 + r)^n

A is the total amount I intend to save = $15,000

r is the yearly interest rate = 3.6% = 0.036

n is the duration to achieve my goal = 4 and 1/2 years = 54 months

15,000 = P(1 + 0.036)^54

15,000 = P(1.036)^54

P = 15,000/6.752 = 2,221.6

I need to put $2,221.6 into the savings account monthly

6 0

3 years ago

Read 2 more answers