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2 years ago

4, 16, 36, 64 is this a arithmetic sequence?

Mathematics

1 answer:

NemiM [27]2 years ago

8 0

Answer:The terms are given by the formula

where

...

Step-by-step explanation:Write out the original sequence:

Write out the sequence of differences of the sequence:

Since this is not constant, the sequence is not arithmetic.

Write out the sequence of differences of that sequence: 8,8

You might be interested in

There ate 38 cube houses. Each house could hold 1,000 unit cubes that are 1 meter by 1meter by 1meter.Describe the dimensions of

Ivan

We know that V = a^3 and that it's 1000 cubic meters (or unit cubes as long as one unit cube is 1x1x1m). We can write the calculation as attached below. The result (dimensions of one cube house) is 10x10x10 meters.

3 0

3 years ago

What is the solution to the compound inequality in interval notation?

ollegr [7]

Answer:

Step-by-step explanation:

Because of the word "or", this is a disjunction, or a union of all the solutions to the inequality as they present on a number line.

For the first inequality:

4(x + 1) > -4 we distribute through the parenthesis to get

4x + 4 > -4 and subtract 4 from both sides to get

4x > -8 and then divide both sides by 4 to get

x > -2. That will be graphed on a number line with an open hole over the -2 and the arrow will go to the right where the numbers are bigger than -2. This arrow continues into positive infinity.

For the other inequality:

2x - 4 ≤ -10 we add 4 to both sides to get

2x ≤ -6 and then divide by 2 to get

x ≤ -3. That is a closed hole over -3 and the arrow goes to negative infinity (to the left). Since one arrow goes off to the right forever, and the other arrow goes off to the left forever, and the arrows do not intersect at any point, the interval notation answer is

(-∞, -3] or (-2, ∞). The parenthesis mean that the number following it is not included (you can't include infinity, either negative or positive, because it's not actually a number) and the brackets mean that the number following it IS included. The hole is closed over the -3 so -3 is included in the solution, where the hole over the -2 is open and is not included.

4 0

1 year ago

What is the cost of 4 1/5 yards of fabric at $7.95 per yard?

Daniel [21]

Answer:

the total cost for 4 1/5 yds of fabric would be $33.39.

Step-by-step explanation:

To answer this, multiply the quantity purchased (4.2 yd) by the unit cost ($7.95/yd):

(4.2 yd)($7.95/yd) = $33.39

8 0

3 years ago

HELP PLEASE <br><br>must show work<br><br>

Setler79 [48]

Answer:

a) 4x -y = 2; (1/2, 0), (0, -2)

b) 3x +y = 5; (5/3, 0), (0, 5)

c) 5x -y = -3; (-3/5, 0), (0, 3)

d) x -y = 7; (7, 0), (0, -7)

e) 8x +y = -12; (-3/2, 0), (0, -12)

Step-by-step explanation:

The form you have is ...

y = -Ax +C . . . . . where B = 1

You can simply rearrange the coefficients to get the form you want.

For (a), you can identify -A = 4, so A = -4, and C = -2. In the desired form, the equation is then ...

-4x +y = -2

"Standard form" requires the leading coefficient be positive, so you now need to multiply the entire equation by -1:

4x -y = 2

I suspect either of the above answers will satisfy your grader, but I like the latter form better. So, the answers below have the equation multiplied by -1 when A is negative to start with.

Since the given equation is already in slope-intercept form, the y-intercept is read directly from the equation as C.

The x-intercept is the value C/A, where you do need to pay attention to the signs.

Again, for (a), the y-intercept is already known to be -2; the x-intercept is ...

C/A = -2/-4 = 2/4 = 1/2.

___

a) A=-4, C=-2, x-intercept = C/A = -2/-4 = 1/2, y-intercept = C = -2. Equation in standard form is 4x -y = 2

b) A=3, C=5, x-intercept = C/A = 5/3, y-intercept = C = 5. Equation in standard form is 3x+y=5

c) A=-5, C=3, x-intercept = C/A = 3/-5 = -5/3, y-intercept = C = 3. Equation in standard form is 5x -y = -3

d) A=-1, C=-7, x-intercept = C/A = -7/-1 = 7, y-intercept = C = -7. Equation in standard form is x -y = 7

e) A=8, C=-12, x-intercept = C/A = -12/8 = -3/2, y-intercept = C = -12. Equation in standard form is 8x +y = -12

5 0

3 years ago

If the weight of a package is multiplied by 3/4 the result is 54 pounds find the weight of the package?

Ede4ka [16]

Answer:

Step-by-step explanation:

In order to find the solution to this problem, you would first need to divide 54 by 3, than multiply by 4. You could also multiply 54 by the reciprocal of 3/4, which is 4/3.

6 0

3 years ago