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2 years ago

6. How can you use an equation to make a prediction from a pattern?

Mathematics

1 answer:

NemiM [27]2 years ago

6 0

To use an equation to predict a pattern, we substitute the value of the input variable in the equation.

<h3>What are equations?</h3>

Equations are used to represent expressions of equal values
Equations are represented by the "=" sign

<h3>Using equation to predict a pattern</h3>

To use an equation to predict a pattern, we simply substitute the value of the independent variable in the equation.

Take for instance, we have the following equation that represents a pattern

$y = 2x + 1$

In the above equation, we have:

x represents the independent variable i.e. the input
y represents the dependent variable i.e. the output

When x = 1, y = 3

When x = 2, y = 5

When x = 3, y = 7

So, a pattern from the equation could be 3, 5, 7....

Read more about equation and patterns at:

brainly.com/question/15590116

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22.

Vlada [557]

Step-by-step explanation:

$\sqrt{p} = \sqrt[r]{w - {as}^{2} }$

Find raise each side of the expression to the power of r

That's

we have

Send w to the left of the equation

Divide both sides by - a

We have

Find the square root of both sides

We have the final answer as

Hope this helps you

3 0

3 years ago

Dorian bought flowers for $120 and sold them for $200. He paid his employees 58 per hour for h hours of work. Which of the follo

scoray [572]

Answer:

m = 80 - 58h

Step-by-step explanation:

Expenses:

$120 for flours

$58h for salaries

Revenue:

$200 from sales of flours

m = 200 - 120 - 58h

m = 80 - 58h

4 0

3 years ago

A warehouse contains 55 boxes. Then a truck delivers a number of boxes at 12:00 p.m. and the team begins to unload them immediat

vredina [299]

Answer:

Step-by-step explanation:

7 0

2 years ago

Wendell’s dog, Jordan, was getting in his way as he worked in the backyard. So, Wendell chained him to a pole. If the chain is 1

velikii [3]

24 feet ( : I think.

6 0

3 years ago

Hello! I would appreciate the help, and please write step by step solutions. Will mark brainliest. Thanks!

Sliva [168]

Answer:

15. 31.42 cm^2

16. 25.73 m^2

17. Fly A

Step-by-step explanation:

15.

The blue shaded region is a sector of a circle. The formula for area of sector = $\frac{\theta}{360}*\pi r^2$

Where $\theta$ is the central angle and r is the radius

<em>For the diagram, we have 80° arc and 180° arc as the "white" area. Since the whole circle is 360°, the shaded region arc is 360 - (80+180) = </em><em>100°.</em><em> this is $\theta$ and the radius is 6. </em>

<em />

Plugging in it in the formula we get:

Area of shaded region = $\frac{\theta}{360}*\pi r^2\\=\frac{100}{360}*\pi(6)^2\\=31.42$ cm^2

16.

We can say that area of shaded region = area of parallelogram - area of circle

Now,

Area of Parallelogram = b * h

where

b is the base (it is 6+3=9) and h is the height (diameter of the circle is the height = 6)

Area of Parallelogram = 9 * 6 = 54

Area of Circle = πr^2 where r is the radius, which is 6/2=3

Area of Circle = π(3)^2 = 9π

Now,

Area of Shaded Region = 54 - 9π = 25.73 m^2

17.

For the first figure (rectangle) we could let the height be h (since not given). So area of yellow region would be 4h (area of rectangle is base * height)

And area of whole ruler would be 8*h = 8h

So probability of landing in yellow region would be $\frac{4h}{8h}=\frac{1}{2}=0.5$

For 2nd figure, the yellow region has area of π(2)^2 = 4π ( radius of yellow circle is 2 and area of circle is πr^2)

Area of whole circle is π(4)^2 = 16π

So probability of landing in yellow region would be $\frac{4\pi}{16\pi}=\frac{1}{4}=0.25$

<em>Hence, </em><em>Fly A is more likely to land in a yellow region.</em>

7 0

4 years ago