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3 years ago

9

The person swims at 4 kilometers per hour and runs at 20 kilometers per hour. For what distance x is the total time for swimming

and running 2 hours? Round to the nearest tenth of a kilometer. (Hint: Time swimming + time running = 2 hours, and distance rate = time.)

1 answer:

gtnhenbr [62]3 years ago

4 0

Answer:

Amm ask to your teacher not to this apps ok

Step-by-step explanation:

THANK you

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L<br> E<br> N<br> 4<br> 8<br> 1<br> O<br> k<br> M<br> What is the value of k?<br> k=

s2008m [1.1K]

Answer: 2

Step-by-step explanation:

By the geometric mean theorem,

$\sqrt{8k}=4\\\\8k=16\\\\k=\boxed{2}$

6 0

2 years ago

I need help! I don't know how to get the answer or what it is. Can anyone help me it's for a test and I'm on my last attempt?

Greeley [361]

Answer:

See explanation

Step-by-step explanation:

(4)

Using the sine ratio in the right triangle

sinΘ = $\frac{opposite}{hypotenuse}$ = $\frac{7}{9}$ , thus

Θ = $sin^{-1}$ ( $\frac{7}{9}$ ) ≈ 51.1°

(5)

Using the tangent ratio in the right triangle

tanΘ = $\frac{opposite}{adjacent}$ = $\frac{4}{5}$ , thus

Θ = $tan^{-1}$ ( $\frac{4}{5}$ ) ≈ 38.7°

7 0

3 years ago

The graph of the function f(x) = –(x + 6)(x + 2) is shown below.Which statement about the function is true?

LekaFEV [45]

Answer:

The first statement is true.

Step-by-step explanation:

The function is f(x) = - (x + 6)(x + 2)

⇒ f(x) = - x² - 8x - 12

Now, condition for a function f(x) to be increasing at x = a is f'(a) > 0.

Now, f(x) = - x² - 8x - 12

⇒ f'(x) = -2x - 8 {Differentiating with respect to x}

Now, f'(a) = -2a - 8 {Here a can be any real value}

And, the condition for increasing function at x = a is

- 2a - 8 > 0

⇒ - 2a > 8

⇒ a < - 4

Therefore, the first statement is true i.e. the function is increasing for all real values of x where x < – 4. (Answer)

4 0

3 years ago

What are the magnitude and direction of u+v+w ?

nevsk [136]

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°.

<h3>How to determine the magnitude and the direction of a resultant</h3>

Vectors are elements with two given characteristics: Magnitude and direction. A resultant is derived from the sum of vectors, the magnitude is the norm of a vector and the direction is the orientation of a vector. The resultant and its characteristics are described below:

<h3>Resultant</h3>

$\vec r = \left(\sum\limits_{i=1}^{n}x_{i}, \sum\limits_{i=1}^{n}y_{i}\right)$ (1)

<h3>Magnitude</h3>

$\|\vec r\| = \sqrt{\left(\sum\limits_{i=1}^{n} x_{i}\right)^{2}+\left(\sum\limits_{i=1}^{n} y_{i}\right)^{2}}$ (2)

<h3>Direction</h3>

$\theta = \tan^{-1}\frac{\sum\limits_{i=1}^{n}y_{i}}{\sum\limits_{i=1}^{n}x_{i}}$ (3)

Where $\theta$ is resultant angle, measured in degrees.

If we know that $\|\vec u\| = 90$ , $\theta_{u} = 40^{\circ}$ , $\|\vec v\| = 60$ , $\theta_{v} = 20^{\circ}$ , $\|\vec w\| = 40$ and $\theta_{w} = 30^{\circ}$ , then the resultant, its magnitude and its direction:

<h3>Resultant</h3>

$\vec r = (-90\cdot \cos 40^{\circ}-60\cdot \sin 20^{\circ}+40\cdot \cos 30^{\circ}, 40\cdot \sin 30^{\circ}+60\cdot \cos 20^{\circ}-90\cdot \sin 40^{\circ})$

$\vec r = (-54.824, 18.531)$

<h3>Magnitude</h3>

$\|\vec r\| = \sqrt{(-54.824)^{2}+18.531^{2}}$

$\|\vec r\| \approx 57.871$

<h3>Direction</h3>

$\theta = \tan^{-1} \left(\frac{18.531}{-54.824}\right)$

$\theta \approx 198.676^{\circ}$

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°. $\blacksquare$

To learn more on vectors, we kindly invite to check this verified question: brainly.com/question/13322477

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2 years ago

Identify which type of sampling is used: random, systematic, convenience, stratified, or cluster. To determine customer opini

Vanyuwa [196]

Answer: Cluster Sampling

Step-by-step explanation:

In cluster sampling, researcher divides the population into groups ,which are called clusters. Then random sample of clusters are chosen ,and researcher conduct study to collect data about the population.

Here each bus is considered a cluster ,because busses are selected at random ,this sampling would be an example of cluster type of sampling.

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3 years ago