5a - 3b if a=5 and b=7

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Answer 1

Answer:

Answer:

5(5) - 3(7) = 4

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Which scatterplot shows the weakest positive linear association?On a graph, points are grouped closely together and increase.
On a graph, points are grouped closely together to form a line and increase.
On a graph, points are grouped closely together and decrease.
On a graph, points are grouped closely together to form a line and decrease.

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The scatter plot which shows the weakestpositive linear association is; On a graph, points are grouped closely together and increase.

Which scatterplot shows the weakest positive linear association?

It follows from the task content that the scatterplot which shows the weakest positive linear association be identified.

On this note, for an association to be positive, the graph must increase. However, the scenario described is a weak linear association, hence, the points don't necessarily form a line accurately, they just have to be closely together and increase.

Answers

Answer:

36 square units

Step-by-step explanation:

split the figure so that it's a triangle and a rectangle. Find the area of the rectangle (base x height or 6 x 4), which is 24 square units. Then, find the area of the triangle ((base x height)/2 or (6 x 4)/2), which would be 12 units. Then add those units up (24 + 12) and you get 36.

A plane leaves the airport in galisteo and flies 170 km at 68 degrees east of north; then it changes direction to fly 230 km at 36 degrees south of east, after which it makes an immediate emergency landing in a pasture. When the airport sends out a rescue crew, in which direction and how far should this crew fly to go directly to this plane?

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Answer:

4.68° south east 317.36 km

Step-by-step explanation:

We can find the angle between the two distances (vectors) because according to the diagram, we can draw two right triangles between them.

The complement of the 36 degree angle is 54 (90-36=54), and the complement of the 68 angle is 22, (90-68=22) the sum of 22 and 54 is 76. So the angle between the two distances is 76.

Then we apply the cosine law

$b^(2) =a^(2) +c^(2) -2*a*c*cosB\n \nb^(2) =230^(2) +170^(2) -2*230*170*cos(76)\n\nb=\sqrt{230^(2) +170^(2) -2*230*170*cos(76)} \n\nb=317.36 km$