Which situation is best described by the graph shown?

Graph the function f(x)=3/2x−4. Use the line tool and select two points to graph.

luda_lava [24]

The answer will be 0-4

7 0

3 years ago

A surveyor leaves her base camp and drives 42km on a bearing of 032degree she then drives 28km on a bearing of 154degree,how far

ValentinkaMS [17]

Answer:

The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).

Step-by-step explanation:

The final position of the surveyor is represented by the following vectorial sum:

$\vec r = \vec r_{1} + \vec r_{2} + \vec r_{3}$ (1)

And this formula is expanded by definition of vectors in rectangular and polar form:

$(x,y) = r_{1}\cdot (\cos \theta_{1}, \sin \theta_{1}) + r_{2}\cdot (\cos \theta_{2}, \sin \theta_{2})$ (1b)

Where:

$x, y$ - Resulting coordinates of the final position of the surveyor with respect to origin, in kilometers.

$r_{1}, r_{2}$ - Length of each vector, in kilometers.

$\theta_{1}, \theta_{2}$ - Bearing of each vector in standard position, in sexagesimal degrees.

If we know that $r_{1} = 42\,km$ , $r_{2} = 28\,km$ , $\theta_{1} = 32^{\circ}$ and $\theta_{2} = 154^{\circ}$ , then the resulting coordinates of the final position of the surveyor is:

$(x,y) = (42\,km)\cdot (\cos 32^{\circ}, \sin 32^{\circ}) + (28\,km)\cdot (\cos 154^{\circ}, \sin 154^{\circ})$

$(x,y) = (35.618, 22.257) + (-25.166, 12.274)\,[km]$

$(x,y) = (10.452, 34.531)\,[km]$

According to this, the resulting vector is locating in the first quadrant. The bearing of the vector is determined by the following definition:

$\theta = \tan^{-1} \frac{10.452\,km}{34.531\,km}$

$\theta \approx 16.840^{\circ}$

And the distance from the camp is calculated by the Pythagorean Theorem:

$r = \sqrt{(10.452\,km)^{2}+(34.531\,km)^{2}}$

$r = 36.078\,km$

The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).

5 0

3 years ago

Which of the following represents a closer relationship between two variables?a) r =.00.b) r = .50.c) r = -30. d) r = -65.

Zanzabum

Answer:

d) r = -65.

Step-by-step explanation:

The absolute value of r represents the relationship strength and the sign represents the relationship direction

Also if the relationship is nearest to 1 then it would be termed as positive correlated and if the relationship is nearest to -1 then it would be termed as negative correlated

Therefore based on the given options, the last option is correct

7 0

4 years ago

Kira tutors history. For each hour that she tutors, she earns 30 dollars. Her earnings, E (in dollars), after tutoring for h hou

Sonja [21]

Answer:

E = 30h = 30(5) = 150 dollars

Step-by-step explanation:

....

Is it bad that I immediately thought Light Yagami?

5 0

3 years ago

Read 2 more answers

Which two numbers have a least common multiple of 48?

tekilochka [14]

While neither 9 nor 8 are prime numbers, the factors of 9 are 3*3 and of 8 are 2*2*2. Since they share no factors in common, their product will be the least common multiple. (Multiples of 9 are 18, 27, 36, 45, 54, 63, and 72; Multiples of 8 are 16, 24,32, 40, 48, 56, 64, and 72).

This is sited on google!

6 0

3 years ago