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zlopas [31]
2 years ago
8

4. The first two numbers in a sequence are 3, 9.

Mathematics
1 answer:
UkoKoshka [18]2 years ago
5 0

The next two terms in the arithmetic progression will be 15 and 21.

Based on the information given, the following can be deduced.

First term = 3

Second term = 9

Common difference = 9 - 3 = 6

The nth term of an arithmetic progression is given as: = a + (n-1)d

Therefore, 3rd term = a + 2d = 3 + 2(6) = 3 + 12 = 15

4th term = a + 3d = 3 + 3(6) = 3 + 18 = 21

The next 2 terms are 15 and 21.

Read related link on:

brainly.com/question/24429956

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2 years ago
WILL MARK BRAINLIEST!!!!!
statuscvo [17]

The shape with a rotational symmetry would remain the same when rotated

The shape with the smallest angle of rotational symmetry of 180 degrees is shape D

<h3>How to determine the shape?</h3>

To do this, we simply examine each of the options

<u>Shape A: Cross</u>

The shape has 4 equal sides.

So, the smallest angle of rotational symmetry is:

Angle = 360/4

Angle = 90

The smallest angle of rotational symmetry is 90 degrees

<u>Shape B: Star</u>

The shape has 5 vertices.

So, the smallest angle of rotational symmetry is:

Angle = 360/5

Angle = 72

The smallest angle of rotational symmetry is 72 degrees

<u>Shape C: Composite figure</u>

This shape has a square and a triangle merged together at two ends

This means that the smallest angle of rotational symmetry is a complete rotation of 360 degrees

<u>Shape D: Circle</u>

The circle is divided into two equal segments.

The angle on the straight line of each segment is:

Angle = 360/2

Angle = 180

The smallest angle of rotational symmetry is 180 degrees

Hence, the shape with the smallest angle of rotational symmetry of 180 degrees is shape D

Read more about rotational symmetry at:

brainly.com/question/12214455

8 0
2 years ago
Pls help I’ll give the big brain award or whatever
andre [41]

Answer:

2

1

-0

-1

-2

1

Step-by-step explanation:

300x80=24,000

7 0
3 years ago
Suppose an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline that
Deffense [45]

Answer:

The F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.

Step-by-step explanation:

There are four treatments in the data given, i.e. k = 4.

Total number of observations, n = 12.

Note: degrees of freedom is denoted as df.

For treatment, the degrees of freedom = k-1 = 4-1 =3 df.

The total degrees of freedom = n-1 = 12-1 = 11 df.

The error in degrees of freedom = df (total) - df(treatment)

The error in degrees of freedom = 11 - 3 = 8 df

At α = 0.05 level,from the F table, the F-statistic with (3 , 8)df is 4.07.

Therefore, the F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.

8 0
3 years ago
Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the poin
yarga [219]

~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill

\begin{cases} h=3\\ k=-7 \end{cases}\implies y=a(x-3)^2-7\qquad \textit{we also know that} \begin{cases} x=1\\ y=-10 \end{cases} \\\\\\ -10=a(1-3)^2-7\implies -3=a(-2)^2\implies -3=4a\implies -\cfrac{3}{4}=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-\cfrac{3}{4}(x-3)^2-7~\hfill

5 0
1 year ago
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