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3 years ago

What are the first 5 multiples of 150

Mathematics

1 answer:

anzhelika [568]3 years ago

3 0

Answer:

150, 300, 450, 600, 750

Step-by-step explanation:

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Drag each tile to the correct box.

rodikova [14]

Answer: C < B < A

<u>Step-by-step explanation:</u>

First, let's evaluate the growth rate of A from [1, 3]

$f(x) = 200\bigg(\dfrac{3}{2}\bigg)^1$

= 300

coordinate is (1, 300)

$f(x) = 200\bigg(\dfrac{3}{2}\bigg)^3$

= 675

coordinate is (3, 675)

Average growth rate (AGR) is: $\dfrac{675-300}{3-1} = \dfrac{375}{2} = 187.5$

AGR (A) = 187.5

*************************************************************************************

Next, let's evaluate the growth rate of B from [1, 3]

The coordinates are already provided as (1, 120) and (3, 480)

Average growth rate (AGR) is: $\dfrac{480-120}{3-1} = \dfrac{360}{2} = 180$

AGR (B) = 180

*************************************************************************************

Lastly, let's evaluate the growth rate of C from [1, 3]

f(x) = 600(1.2)ˣ

f(x) = 600(1.2)¹

= 720

coordinate is (1, 720)

f(x) = 600(1.2)³

= 1036.8

coordinate is (3, 1036.8)

Average growth rate (AGR) is: $\dfrac{1036.8-720}{3-1} = \dfrac{316.8}{2} = 158.4$

AGR (C) = 158.4

8 0

3 years ago

What is the value of x?<br><br> Enter your answer in the box

VikaD [51]

The value of x is 78 Degrees. The angles are complementary so they are equal.

6 0

3 years ago

A drilling machine can drill 12 holes in 6 minutes. If the machine drills holes at a constant speed, it can drill ______ holes i

Lelu [443]

Probably 50 holes in 25 minutes

6 0

3 years ago

Read 2 more answers

One side of a rectangle is five times as long as the other side. If the perimeter is 72 meters, what is the length of the shorte

Yakvenalex [24]

6 meters

72 = x+x+5x+5x
72 = 12x
6 = x
the shorter side is 6 meters

3 0

3 years ago

Read 2 more answers

Vector v is shown in the graph.

Elis [28]

Question 4

<h3>Answer: Choice D</h3>

Explanation:

If the initial point is the origin, the coordinates of the terminal point form the vector itself in component form. We go from (-8,6) to <-8,6>. The notation change is from ordered pair to vector format.

We have a right triangle with legs of 8 and 6 units. The pythagorean theorem will help us determine the hypotenuse is 10. Therefore, the vector length is 10 units and we would say ||v|| = 10. We have a 6-8-10 right triangle.

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Question 5

<h3>Answer: Choice B</h3>

Explanation:

Vector v starts at (2,5) and ends at (-3,-2).

The x component of the vector is x2-x1 = -3-2 = -5 meaning we move 5 units to the left when going from the start point to the endpoint.

At the same time we move 7 units down because y2-y1 = -2-5 = -7 which is the y component of the vector.

The component form of vector v is

v = <-5, -7>

it says "move 5 units left, 7 units down".

Apply the pythagorean theorem to find the length of the vector.

a^2+b^2 = c^2

c = sqrt(a^2 + b^2)

||v|| = sqrt( (-5)^2 + (-7)^2 )

||v|| = 8.602 which is approximate.

Now let's use the arctangent function to find the angle

theta = arctan(b/a)

theta = arctan(-7/(-5))

theta = 54.462 which is also approximate.

There's a problem however. This angle is in Q1 but the vector <-5,-7> is in Q3. An easy fix is to add on 180 to rotate to the proper quadrant.

54.462+180 = 234.462

which is the proper approximate angle for theta.

6 0

2 years ago