All categories

4 years ago

Which of the following is an arithmetic sequence?

Mathematics

2 answers:

Mkey [24]4 years ago

8 0

Answer:

-8, -6, -4, -2

Step-by-step explanation:

This is the only sequence that is using constant repetition of addition, either adding positive numbers or adding negative numbers (the same positive or negative number). This one that you answered is always adding 2 from the prior number, so -6 = -8+2, -4=-6+2, and so on.

The first one is an odd combo where you add and subtract different values different signs each time, it is not constant addition of the same number.

The second one is multiplication which is not arithmetic, so that means it is constantly being multiplied by 2 each time.

Yuki888 [10]4 years ago

8 0

Answer:-8,-6,-4,-2

Step-by-step The last one because it is consistent by adding 2 the other ones ad then subtract or multiply and you can do that so the last on

You might be interested in

Which is the graph of y = x + 1 - 2?

lukranit [14]

Ok, I have no idea what the answer is but you can use desmos graphing calculator because that really helps :)

5 0

3 years ago

Figure ABCDE has vertices A(−2, 3), B(2, 3), C(5, −2), D(0, −4), and E(−2, −2). Plot the points on your own coordinate grid and

Anastasy [175]

There's a right angle that they want you to make a rectangle out of. I'm ignoring that and using each of the five sides to make a triangle with the origin.

A. Five triangles, zero rectangles.

AB=4, the difference of the x coordinates since the y coordinates are the same

AE = 5, the difference in the y coordinates since the x coordinates are the same

C. We'll use the Shoelace Formula, adding up all those triangles I made. A triangle with vertices (0,0), (a,b), (c,d) has signed area A = (1/2)(ad-bc). We go around counterclockwise so they all have positive areas, starting with AE, then ED, DC, CB, BA.

Area = (1/2) ( (-2)(-2) - 3(-2) + (-2)(-4) - (-2)(0) + 0(-2) - (-4)(5) + 5(3) - (-2)(2) + 2(3) - (3)(-2))

Area = 69/2

5 0

3 years ago

Three people toss a fair coin and the odd one pays for coffee. if the coins all turn up the same, they are tossed again. find th

dexar [7]

Since the problem doesn’t give a definite question, here are the possible questions and answer:

P(fewer than 4 tosses)
= P(one toss) + P(two toss) + P(3 toss)
= (3/4) + (3/4)(1/4) + (3/4)(1/4)^2
= 0.984375

Expected value
= 1 / p
= 1 / (3/4)
= 4 / 3

Variance
= (1 - p) / p^2
= (1 - (3/4)) / (3/4)^2
= (1/4) / (9/16)
= 4 / 9

Standard deviation
= sqrt(Variance)
= sqrt(4 / 9)
= 2 / 3

8 0

3 years ago

HELP!

konstantin123 [22]

Answer:

1. 10 square yards

2. $9.10

3. 36 girls

4. 20 cherries

5. 159 bracelets

Step-by-step explanation:

The area of this figure would be the area of the SQUARE minus the area of the RECTANGLE (taken out).

The middle part is taken out (this is a rectangle).

View this as a square with sides 4 by 4 with a rectangle portion taken out. So the area can be said as:

Area = Area of Whole Square - Area of Middle Rectangle Taken Out

Lets calculate:

Area of Whole Square:

side * side = 4 * 4 = 16

Now,

Area of Middle Rectangle Taken Out:

Length * Width

The length is given as 3

The width would be 4 - two 1 from two sides, that is 4 - 1 - 1 = 2

So, area = 3 * 2 = 6

Area of figure = 16 - 6 = 10 square yards

We have to find 20% of the bill.

The bill was 45.50 and we have to find 20% of 45.50.

We first convert percentage to decimal by dividing by 100:

20% = 20/100 = 0.20

Now we multiply this decimal with the bill to get our desired answer:

0.20 * 45.50 = $9.10

The tip is $9.10

The ratio of boys (b) to girls (g) would be 2 is to 3.

There are 24 boys.

We can set up a ratio (fraction) with boys on top and girls on bottom.

Then we equate it with actual number of boys and girls (let it be g). So the ratio set-up would be:

$\frac{2}{3}=\frac{24}{g}$

To solve for g, the number of girls, we have to cross multiply and use algebra to solve. The process is shown below:

$\frac{2}{3}=\frac{24}{g}\\2*g = 24*3\\2g=72\\g=\frac{72}{2}\\g=36$

There are 36 girls in sixth grade

For every "9" lemon, there are "4" cherries.

There are 45 lemons

If we think of "9" lemons as a "box", how many boxes of lemons are there?

45/9 = 5

Similarly, there would be "5" boxes of cherries. But there are "4" cherries per box. So there are:

4 * 5 = 20 cherries

We can also set up a ratio of cherry to lemon as 4 is to 9 and equate it with actual cherries (let it be "c") and lemons (45). Cross multiply and use algebra to solve for cherries ("c"). Algebra process shown below:

$\frac{Cherries}{Lemons}=\frac{4}{9}=\frac{c}{45}\\9*c=4*45\\9c=180\\c=\frac{180}{9}\\c=20$

See, we have the same answer, 20 cherries!

Number sold total = 14 + 27 + 45 = 86

She still has 73 in her stock

So, she basically started with whatever she now has (73) and whatever she has sold the 3 days (86), that would be:

73 + 86 = 159 bracelets

Tia started with 159 bracelets

4 0

4 years ago

Chef Willie can make 54 pies in 2 hours. At this rate, how many pies can he make in 1 hour?

mihalych1998 [28]

27 pies in one hour 54=2 hours 54 divided by 2 equals 27

4 0

3 years ago