Ask question

Ask question

All categories

3 years ago

14

9.

1 answer:

Elena L [17]3 years ago

7 0

<u>Given</u>:

The distance (in kilometers) Dora hiked is modeled as a function of time.

We need to determine the average rate of change in distance hiked, measured in kilometers per hour, between 8:30 am to 1:30 pm.

<u>Average rate of change:</u>

Let us write the time and the distance hiked in coordinates for the time 8:30 am and 1:30 pm.

Thus, the coordinates are (8.30, 4) and (1,12)

The average rate of change can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the points (8.30, 4) and (1.30,12), we get;

$m=\frac{12-4}{1.30-8.30}$

$m=\frac{8}{-7}$

$m=-1.14$

Rounding off to the nearest whole number, we get;

$m=-1$

Therefore, the average rate of change is -1.

You might be interested in

Which number has a 4 with a value ten times less than the 4 in the number 123,469?

poizon [28]

The number that has a 4 in the hundred places.

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A 4 with a value ten times less than the 4 in the number 123,469.

First, the value of the 4 in the number 123,469 can be found by separating each digit as:

123,469 = 100,000 + 20,000 + 3,000 + 400 + 60 + 9

Then the value of the 4 is 400.

Now we want a number that has a 4 with a value then times less than 400. Then we have

400/10 = 40

Then we want a number that has a 4 in the hundred places.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

7 0

2 years ago

If 3x−y=12, what is the value of 8x/2y?

patriot [66]

Answer:

17.2

Step-by-step explanation:

3x=12+y

x=12+y/3

$8( \frac{12 + y}{3}) \div 2y$

$\frac{96 + 8y}{3} \times \frac{1}{2y}$

$\frac{96 + 8y}{6y}$

(y is divided by y so it no longer exists)

$\frac{96 + 8}{6}$

$\frac{104}{6}$

$17.2$

4 0

4 years ago

A large storage tank, open to the atmosphere at the top and filled with water, develops a small hole in its side at a point 10.4

vlabodo [156]

Answer:

Therefore the diameter of the hole is $1.94 \times 10^{-3}$ m.

Step-by-step explanation:

Bernoulli's equation,

$P_1+\frac12 \rho v^2_1+\rho g h_1= P_2+\frac12 \rho v^2_2+\rho g h_2$

P₁ = P₂= atmospheric presser

$\rho$ = density

$\frac12 \rho v^2_1+\rho g h_1= \frac12 \rho v^2_2+\rho g h_2$ [since P₁ = P₂]

$\Rightarrow\rho (\frac12 v^2_1+ g h_1)= \rho(\frac12 v^2_2+ g h_2)$

$\Rightarrow\frac12 v^2_1+ g h_1= \frac12 v^2_2+ g h_2$

$\Rightarrow\frac12 v^2_2-\frac12 v^2_1=g h_1- g h_2$

$\Rightarrow v^2_2- v^2_1=2g h$ [ $h_1-h_2=h$ ]

Here $v_1\approx 0$

$\Rightarrow v^2_2=2g h$

$\therefore v_2=\sqrt {2gh$

Here g= 9.8 m/s² , h = 10.4 m

The velocity of water that leaves from the hole $v_2$ = $\sqrt {2\times 9.8\times 10.4}$ m/s

=14.28 m/s.

Given, the rate of flow from the leak is $2.53\times 10^{-3}$ $m^3/min$

$=\frac{2.53\times 10^{-3}}{60}$ $m^3/s$

Let the diameter of the hole be d.

Then the cross section area of the hole is $=\pi (\frac d2)^2$

We know that,

The rate of flow = Cross section area × speed

$\Rightarrow \frac{2.53\times 10^{-3}}{60} =\pi (\frac d2)^2\times 14.28$

$\Rightarrow (\frac d2)^2=\frac{2.53\times 10^{-3}}{60\times 14.28\times \pi}$

$\Rightarrow d= 1.94 \times 10^{-3}$

Therefore the diameter of the hole is $1.94 \times 10^{-3}$ m.

4 0

4 years ago

If a box has a length of 12 inches, a width of 10 inches and a height of 6 inches, what is the surface area?

Scrat [10]

Answer:

The answer is 28.

Step-by-step explanation:

Add all of them.

(L/ length) 12.

(W/ width) 10

(H/ height) 6

12 + 10 + 6 = 28

I hope this helps

6 0

3 years ago

Read 2 more answers

Sine: the trigonometric function that is equal to the ratio of the side opposite a given angle (in a right triangle) to the hypo

Evgesh-ka [11]

Hello Abbigailallred, <span>Sine: the trigonometric function that is equal to the ratio of the side opposite a given angle (in a right triangle) to the hypotenuse. What is the Sine of angle A, 4/5.

</span>

8 0

3 years ago