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3 years ago

Which of the following is most likely the next step in the series?

Mathematics

1 answer:

lilavasa [31]3 years ago

3 0

Answer:

Step-by-step explanation:

Hi there!

TL;DR: Observe the vertices of the shapes inside the circles and their relationship with the circle.

For the first figure, the rectangle has 4 vertices and there are 4 dots on the perimeter of the circle.

For the second figure, the triangle has 3 vertices and there are 3 dots on the perimeter of the circle.

For the third figure, the line has 2 points and there are 2 dots on the perimeter of the circle.

For the fourth figure, there would most likely be only one dot on the perimeter of the circle (4, 3, 2, 1). The only option that shows this is B.

I hope this helps!

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Please answer right away

spayn [35]

Answer:

The correct answer option is $\frac { 4 } { 4 9 }$ .

Step-by-step explanation:

We are to find the probability that both your parents were born on weekend (either Saturday or Sunday).

Total number of days in a week = $7$

Number of days in weekend = $2$

Probability of being born on weekend = $\frac { 2 } { 7 }$

P (both parents were born on weekend) = $\frac{2}{7} \times \frac{2}{7}$ = 4/49

3 0

3 years ago

In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r

iren2701 [21]

Answer:

 $f(x) = 1588.4x + 39000$ 

$f(15) = 62826$

Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

$a = \frac{y_2 - y_1}{x_2 - x_1}$

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

$a = \frac{70768 - 39000}{20 - 0}$

$a = \frac{31768}{20}$

$a = 1588.4$

Next, is to determine the formula using:

$y - y_1 = a(x - x_1)$

Considering :When x = 0; y = 39000, we have

 $y - 39000 = 1588.4(x - 0)$ 

 $y - 39000 = 1588.4x$ 

Make y the subject of formula

 $y = 1588.4x + 39000$ 

Express y as a function of x

 $f(x) = 1588.4x + 39000$ 

Solving (b): Income in 2005

In 2005, x = 15

So:

$f(x) = 1588.4x + 39000$ becomes

$f(15) = 1588.4 * 15 + 39000$

$f(15) = 62826$

3 0

3 years ago

Can you help me on these math problems?

densk [106]

I cannot help you unless I know what ones you need help on

8 0

3 years ago

Pls pls, pls help me with my math

Neko [114]

Answer:

Obviously only D is true

Note 2 x - 1 < 10 can be rewritten

2 X < 11 and

x < 5.5

So all of the values in the set would have to be less than 5.5

4 0

2 years ago

A line in point-slope form that goes through the points (8,-9) and (-4,15).

frutty [35]

Answer: The answer is 1/2

Step-by-step explanation:

3 0

3 years ago

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