All categories

2 years ago

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

You might be interested in

1200+0.075x>=3300 what is the solution to the inequality

miskamm [114]

Solving inequalities is just like solving any other Algebraic problem...look to P.E.M.D.A.S. (Parenthesis, Exponents, Division, Addition, Subtraction). So lets take a look at this problem now.

1200 + 0.075x $\geq$ 3300

Subtract 1200 from both sides...
0.075x $\geq$ 2100

Now divide by 0.075...
x $\geq$ 28000

NOTE: If you divide or multiple by a negative number while solving inequalities, you must flip the sign. Ex: You answer would be x $\leq$ 28000 if you would've multiplied or divided by a negative.

8 0

2 years ago

A game of chance involves rolling a standard, six-sided die. The amount of money the player wins depends on the result of the di

Sloan [31]

Answer:

If you play this game once (and it costs you nothing to play), the expected amount of money you will win is:

$8.

Step-by-step explanation:

a) Data and Calculations:

The probability for the result to be 1 or 2 = 33.33% (100/6 * 2)

The probability for the result to be 3, 4, or 5 = 50% (100/6 * 3)

The probability for the result to be 6 = 16.67% (100/6 * 1)

Data Table:

Event Probability Value Won

The result is 1 or 2 33.33% $0

The result is 3, 4 or 5 50.00% $4.00

The result is 6 16.67% $36.00

Expected Value:

Event Probability Value Expected Value

The result is 1 or 2 33.33% $0 $0 ($0 * 33.33%)

The result is 3, 4 or 5 50.00% $4.00 $2.00 ($4 * 50%)

The result is 6 16.67% $36.00 $6.00 ($36 * 16.67%)

Total expected amount of money = $8.00

8 0

2 years ago

Given the points J(4,-7) and L(-2,13), find the coordinates of point k on JL such that the ratio of jk is 1:4

Irina-Kira [14]

Answer:

The coordinates of point k are (-2.8,-3)

Step-by-step explanation:

we shall use the internal division formula to find the coordinates of point k

Mathematically, the formula is as follows;

Let’s call the coordinates of point k (x,y)

(x , y) = mx2 + nx1/(m + n) , my2 + ny1/(m + n)

From the question;

m = 1 , n = 4

x1 = 4, x2= -2

y1 = -7 , y2 = 13

Substituting these values in the equation, we have the following;

1(-2) + 4(4)/(1 + 4) , 1(13) + 4(-7)/(1+4)

(-2+16)/5, (13 -28)/5

= -14/5, -15/5

= (-2.8, -3)

3 0

3 years ago

In , QR = 4, RS = 15, and . In , VT = 8, TU = 32, and . Are the polygons similar? If they are, write a similarity statement and

iris [78.8K]

No because the scale factors are different. You can see that QR compared to VT the scale factor is 2, but in RS and TU it's different, so they are not similar.

5 0

3 years ago

A flagpole casts a shadow 8.5 meters long. if an algebra student 1.6 meters tall casts a shadow 2.0 meters long at the same time

MrMuchimi

<span>The flagpole stands vertically on the ground. If a line is drawn from the top of the flagpole to the shadow, it forms a right-angled triangle. Similarly, if a line is drawn from the top of the student's head to the tip of this shadow a right-angled triangle is formed. Since it is given that the measures of both the shadows are taken at the same time and location, the angle of depression in both the cases is equal. Therefore, by AA similarity, height of the flagpole/ height of the student =length of shadow of the flagpole/length of shadow of the student flagpole height/1.6m = 8.5 m/2.0m flagpole height = (8.5 m x 1.6m )/2.0 m =6.8m</span>

5 0

2 years ago

Read 2 more answers