All categories

2 years ago

Is 10, 20, 40, 80... an arithmetic sequence?

Mathematics

1 answer:

Fynjy0 [20]2 years ago

5 0

Answer:

No.

Step-by-step explanation:

A arithmetic sequence is a sequence of numbers that go up by the same value each time. We can clearly see that this set of numbers does not go up by the same value each time, therefore ruling it out as an arithmetic sequence. This sequence is a geometric sequence in case you're wondering.

You might be interested in

Find the mean and range 26 19 23 39 31 34 23 25

Delicious77 [7]

I got 27.5 for the mean
mean: you add up all the #'s and divide them my their quantity( in other words by how many numbers there are)
In your case you have 8 numbers, you add them and divide them by 8!

Hope it helps ;)

4 0

3 years ago

I need help please help me :(

Anastasy [175]

Answer:

A. 3

Step-by-step explanation:

$\frac{21}{7}$

REMEMBER to MULTIPLY FIRST!!

21 / 7 = 3

7 0

3 years ago

Read 2 more answers

A piece of wire 11 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

forsale [732]

Answer:

11 meters

Step-by-step explanation:

First, we can say that the square has a side length of x. The perimeter of the square is 4x, and that is how much wire goes into the square. To maximize the area, we should use all the wire possible, so the remaining wire goes into the triangle, or (11-4x).

The area of the square is x², and the area of an equilateral triangle with side length a is (√3/4)a². Next, 11-4x is equal to the perimeter of the triangle, and since it is equilateral, each side has (11-4x)/3 length. Plugging that in for a, we get the area of the equilateral triangle is

(√3/4)((11-4x)/3)²

= (√3/4)(11/3 - 4x/3)²

= (√3/4)(121/9 - 88x/9 + 16x²/9)

= (16√3/36)x² - (88√3/36)x + (121√3/36)

The total area is then

(16√3/36)x² - (88√3/36)x + (121√3/36) + x²

= (16√3/36 + 1)x² - (88√3/36)x + (121√3/36)

Because the coefficient for x² is positive, the parabola would open up and the derivative of the parabola would be the local minimum. Therefore, to find the maximum area, we need to go to the absolute minimum/maximum points of x (x=0 or x=2.75)

When x=0, each side of the triangle is 11/3 meters long and its area is

(√3/4)a² ≈ 5.82

When x=2.75, each side of the square is 2.75 meters long and its area is

2.75² = 7.5625

Therefore, a maximum is reached when x=2.75, or the wire used for the square is 2.75 * 4 = 11 meters

3 0

3 years ago

4. Simplify the expression. (6 points)

Lunna [17]

4. Simplify the expression.
sine of x to the second power minus one divided by cosine of negative x

(1−sin2(x))/(sin(x)−csc(x))

sin2x+cos2x=1 1−sin2x=cos2x

cos2(x)/(sin(x)−csc(x)) csc(x)=1/sin(x) cos2(x)/(sin(x)− 1/sin(x))= cos2(x)/((sin2(x)− 1)/sin(x)) sin2(x)− 1=-cos2(x) cos2(x)/(( -cos2(x))/sin(x))
=-sin(x)
the answer is the letter a) -sin x

5. Find all solutions in the interval [0, 2π). (6 points)
sin2x + sin x = 0
 using a graphical tool
the solutions x1=0 x2=pi x3=3pi/2
the answer is the letter D) x = 0, π, three pi divided by two

3 0

3 years ago

Read 2 more answers

What do I need to make on my next quiz if I have an f and quizzes are 30% of our grade?

hram777 [196]

Make more than a 80 on quizzes and you should be fine 75 lowest possible

3 0

3 years ago