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3 years ago

True or false? The graph represents a function. 5. -5 5 2.5 O A. True O B. False

Mathematics

1 answer:

hichkok12 [17]3 years ago

3 0

Answer:

True

Step-by-step explanation:

In functions, each x value has its own corresponding y value, this meaning that the x value cannot repeat, and if it does it is not considered a function

Looking at the graph, no x value repeat, thus the graph represents a function

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Use the number line given to choose the best answer for the question.

Taya2010 [7]

Answer:

can you put the number line

Step-by-step explanation:

7 0

3 years ago

Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector a

Fofino [41]

Answer:

Vector (ordered pair - rectangular form)

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force ( $\vec F$ ), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

$\vec F = \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right)$ (1)

Vector (ordered pair - polar form)

$\vec F = \left(\|\vec F\|, \theta\right)$

Sum of vectorial components (linear combination)

$\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j}$ (2)

Where:

$\|\vec F\|$ - Norm of the vector force, in newtons.

$\theta$ - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

$\hat{i}$ , $\hat{j}$ - Orthogonal axes, no unit.

If we know that $\|\vec F\| = 30\,lbf$ and $\theta = 25^{\circ}$ , then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

$\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]$

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]$

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

8 0

2 years ago

1.9996 by 2 significant numbers

Svetradugi [14.3K]

1.9 or rounding with 2.0

8 0

3 years ago

-0.2 + 7/10 plz help I’m stuck

Lelechka [254]

(-0.2) + (7÷10) =

(-0.2) + 0.70 =

0.5

Hope that helps!

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3 years ago

Complete the table for the given rule. Rule: y = x/2 - 1 X Y 4 = 6 = 8 =

Veseljchak [2.6K]

$\bf \begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 4&\stackrel{\frac{4}{2}-1}{1}\\&\\ 6&\stackrel{\frac{6}{2}-1}{2}\\&\\ 8&\stackrel{\frac{8}{2}-1}{3}\\ &\\ \cline{1-2} \end{array}$

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3 years ago

True or false? The graph represents a function. 5. -5 5 2.5 O A. True O B. False​

True or false? The graph represents a function. 5. -5 5 2.5 O A. True O B. False