There are 4 figures shown. The first figure has a 1 dot, the second has 3 dots, and the third figure has 6 dots, and finally, the fourth one has 10 dots.


If the following pattern continues, how many more dots are there in Figure 100 than in Figure 98?


(Offering 30points for this question for Math Olympiad! Thank you! <3)

Answer:

(180-90)÷2

Step-by-step explanation:

90°=the red corner

The calculated expression of function g(x) in terms of x is g(x) = 3f((x-1)/2)

To express g(x) in terms of x, we need to use the relationship given between the points on the graph of y=f(x) and the corresponding points on the graph of y=g(x).

Specifically, if a point (a,b) is on the graph of y=f(x), then the point (2a+1,3b) is on the graph of y=g(x).

Using this relationship, we can write:

g(x) = 3f((x-1)/2)

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Answer: x=16 degrees

Step-by-step explanation:

Let's assume that angle (7x-2) is angle P, and angle (4x+6) is angle Q. The lines are parallel, so angle P is correspondent to Angle F, meaning that they are equal.

So we know that a straight line is 180 degrees, so we can form an equation like this: Angle F+ Angle Q= 180 degrees.

Now let's add in the information:

7x-2+4x+6= 180 degrees

11x+ 4= 180

11x= 180-4

11x = 176

x= 16 degrees

Answer:

----------------------------

Regular polygon has congruent sides and angles.

Irregular polygon has different sides and angles.

According to markings on figures and properties we can state:

The number of times Maria drove the car on day 4 is 7 times.

A line graph is a graph that connects different data points on a graph using a straight line. A line graph is made up of a x-axis and a y-axis. In the line graph given, the number of days is on the x-axis and the number of times the car was driven is on the y-axis. A line graph is used to show quantitative data. Line graphs are used to visualise data.

In order to determine the number of times Maria drove the car on day 4, locate where day 4 is on the x-axis. Then trace 4 upward toward a data point. When the data point is located, trace it to the y-axis. When day 4 is traced to the y-axis, the value gotten is 7.

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Answer:

She drove her car 7 times on day 4.

Step-by-step explanation:

The left column is how many times she drove her car and on day 4, the yellow dot is on line 7.

Answer:

4 3/8

Step-by-step explanation:

-2 1/2 * -1 3/4

-5/2 * -7/4

35/8

4 3/8

Hope this helps!

Answer:

  (c)  6 units to the right

Step-by-step explanation:

You want to know the translation amount and direction that moves ∆XYZ to ∆X'Y'Z', where Z=(3, 4) and Z'=(9, 4).

The translation vector can be found from the difference ...

  Z' -Z = (9, 4) -(3, 4) = (6, 0)

The translation is 6 units right and 0 units up or down.

The direction and number of units is ...

  6 units to the right, choice C.

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Answer:

OK so, volume= length x width x height

so, if the length of kyles box is 2, and his height is 3, but the volume is 12, then the width would be 2.

2 x 2 x 3=12

however, for myla, if her box is, 2 feet long and 4 feet high, but the volume is 16, then, her width is also 2.

2 x 2 x 4= 16

a way to look at this is, in the problem you are given the height and length, so, if its length times width times height, take your given length and multiply it by a number that will make it equal your given volume.

for example, let q=width, let m=height, and let j=length, p=volume, h=random variable.

j (x) h (x) m=p

its your job to find h.

hope this helps!

Step-by-step explanation:

Answer:

what is the degree of overlap? if the answers are Responses, high, moderate, or none. the answer is moderate

Step-by-step explanation:

The degree of overlap for the dot plots, given the data is A. High.

The dot plots for the two neighborhoods show a high degree of overlap, it would suggest that the distribution of the number of people per household in each neighborhood is similar.

This means that there is little difference between the two neighborhoods in terms of the average number of people per household. It is possible that the two neighborhoods have similar average household sizes but differ in other important ways, such as income, education level, or demographics.

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Answer: 6t = 9

Step-by-step explanation:

What is visually explicable is that the 2 tape diagrams are equal.

One tape diagram equals 9, one is divided into 6 equal parts, each equals t.

6t's make up a diagram that is equal to a diagram equal to 9.

therefore 6t=9

Answer:

total area of the given figure is 126

step by step guide:

1) 14×6+1/2×14×6

2) 84+42

3) =126

Answer:

18

Step-by-step explanation:

On Monday, they sold 2 computers. If you look to the left, however tall the blue block is, that's the number of computers sold that day. Tuesday was slow, they only sold one. Wednesday- was 6 and Thursday was 9.

2 + 1 + 6 + 9 is 18.

The first four days this week they sold 18 computers.

Answer:

D) 18

Step-by-step explanation:

On Monday they sold 2 computers.

On Tuesday they sold 1 computer.

On Wednesday they sold 6 computers.

On Thursday they sold 9 computers.

The question is asking for the total number of computers sold, so add them all up:

2+1+6+9

=18

In total, 18 computers were sold.

Hope this helps! :)

Answer:

1. 0.9 is the answer

2. 1.28

Step-by-step explanation:

0.99÷11=99/100÷11/10=99/100x10/11=9/10=0.9

2.expand 5.12/4 by multiplying both numerator and the denominator by 100 512/400 reduce the fraction 512/400 to lowest terms by extracting and canceling out 10 32/25 for factor 2 5/5 2=1 7/25=1.28

Answer:

0.99÷11=0.09 5.12÷4=1.28

Answer:

A = 1792.44

Step-by-step explanation:

Area of Trapezoid formula is:

A = 1/2(b1 + b2)h

A = 1/2(92+61.2)23.4

A = 1/2(153.2)23.4

A = (76.6)*23.4

A = 1792.44

Answer

circle a= 25.2

circle b= 37.68

it is 1/2 times greater

Step-by-step explanation:

Answer:

D) Need more information

Step-by-step explanation:

Since the hexagon is irregular, the interior angles will not be equal in size.

To solve for the measure of ∠P, we would need more information.

The total area of the figure by adding the areas of the parallelogram and trapezoid is 52 square feet

from the question, we have the following parameters that can be used in our computation:

parallelogram and trapezoid

Wher we have

Area of parallelogram = 7 * (6 - 2)

Area of parallelogram = 28

Also, we have

Area of trapezoid = 1/2 * (7 + 5) * 4

Area of trapezoid = 24

So, we have

total area = 28 + 24

total area = 52

Hence, the total area is 52 square feet

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Answer:

13

13

Step-by-step explanation:

-7+6= 7+6= 13

-7+6= 7+6= 13

Answer: I think it would be $2825

Step-by-step explanation:

Add all of the Junior College fees and then add all of the 4-year college fees and then subtract them to find your answer.

Answer: 30.25 cm2.

Step-by-step explanation:

Given: Perimeter of a square = 22 cm.

Concept used: Area of a square = side2 Perimeter of a square = 4 × side.

Calculations: Let the side of the square be 'a' Perimeter of a square = 22 cm. ⇒ 4a = 22. ⇒ a = 5.5 cm. ...

∴ Area of square is 30.25 cm2.

Answer:

Step-by-step explanation:

2700 feet/hour

Answer:

-6 or in your case since the negative sign is present 6

Step-by-step explanation:

-1-6=-7

Answer:

6

Step-by-step explanation:

-1 - x = -7

add 1 to both sides

-x=-6

divide both sides by -1

x=6

So, the integer that would make this statement true is 6.  Hope this helps! :)

Answer:

Paddleboarding i think

Answer:

$6.00

Step-by-step explanation:

As we know that the median is the middle value of a data set.  When we list these costs in order:

3,5,5,6,6,6,9,9,9

When crossing out the values on each side we can see that the middle value lands on 6 so the median is $6.00

Hope it helps!

Answer:

There are two ways to check if 3x+5=11 is true:

Subtract 5 from both sides of the equation. This will isolate x on the left-hand side of the equation.

3x = 6

Divide both sides of the equation by 3. This will divide both sides of the equation by 3, which will cancel out the 3 on the left-hand side of the equation, leaving x by itself.

x = 2

You can also check if 3x+5=11 is true by plugging in 2 for x. If you do this, you will get 3(2)+5 = 6+5 = 11. Therefore, 3x+5=11 is true when x=2.

The value of theta in tanФ = 28/47 is 30.75° .

Given,

tanФ = 28/47

Here,

tanФ in right angled triangle measured by,

tanФ = P/B

P = perpendicular

B = base

Here,

tanФ = 28/47

Take inverse of tan to obtain the value of Ф .

Ф = [tex]tan^{-1}[/tex] (28/47)

Ф = 30.75° .

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Answer:

Step-by-step explanation:

75.39 because 2*pi*12