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3 years ago

Find the 18th term in the arithmetic sequence. 2, 8, 14, 20, 26, ...

1 answer:

7 0

Well first we need to make a function, this is increasing proportionally so we know the equation will be
$y = mx + b$
Now its increasing by 6 for each step in x so
$y = 6x + b$
If we plug in when x = 1 and y = 2(the first given term)
$2 = 6(1) + b \\ b = - 4$
Now the arithmetic sequence can sbe represented by
$y = 6x - 4$
If you plug in 18, well get the 18th term
$y = 6(18) - 4 \\ y = 108 - 4 \\ y = 104$
The 18th term is 104

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Please Help). Use the figure below to answer the questions. A) Describe in words a sequenc of transformations that maps □ABC to

lesya [120]

Answer:

See below

Step-by-step explanation:

The initial ordered-pairs are $(x, y)$

We have a rotation of 90 degrees counterclockwise with respect to origin

Note. Previously the points were

$A(-3, 4), B(-3, 0), C(-1, 3)$

After the rotation, we have

$A(-4, -3), B(0, -3), C(-3, -1)$

Thus, $(x, y) \rightarrow (-y, x)$

Then shifting horizontally to the right 2 units, we get ΔA'B'C'

Thus,

$(x, y) \rightarrow (-y, x) \rightarrow (x+2, y)$

7 0

3 years ago

What are the numbers of pi

gizmo_the_mogwai [7]

Answer: 3.14

Step-by-step explanation: it goes on forever but that is what most people use to calculate with

5 0

3 years ago

Read 2 more answers

What is the sign of 3 x y 3xy3, x, y when x > 0 x>0x, is greater than, 0 and y < 0 y<0

Colt1911 [192]

Answer:

The sign is negative

Step-by-step explanation:

Given

$Expression = 3xy$

$x > 0$

$y$

Required

Determine the sign

The expression can be split into 3 factors

$(3) (x) (y)$

If x > 0 then x is positive and If y < 0 then y is negative

So, the expression becomes:

$(+3) (+x) (-y)$

Leave only signs

$(+) (+) (-)$

$+ * + = -$

So, we have:

$(+*+) (-)$

$(+) (-)$

$+ * - = -$

So, we have:

$(+) (-) = -$

Hence, the sign of the expression is negative

Take for instance;

$x = 2$

$y = -4$

The expression would be:

$3 *2 * - 4 =-24$ -- negative

4 0

3 years ago

If a rectangular. Prism. Has 5cm. 10cm on one side and 4cm on the. Other. What is the volume of the rectangle?

emmasim [6.3K]

Answer: $200\ cm^3$

Step-by-step explanation:

Given

The dimension of the rectangular prism is

$l=5\ cm\\w=10\ cm\\h=4\ cm$

The volume of the prism is given by $V=l\times w\times h$

$\Rightarrow V=5\times 10\times 4\\\Rightarrow V=200\ cm^3$

Therefore, the volume of the prism is $200\ cm^3$ .

7 0

3 years ago

To make 5 smoothies that have the same ratio of apple juice to orange juice as 1 smoothie does, how much apple juice and orange

Vika [28.1K]

Answer:

40 Apple juice and 20 Orange juice

Step-by-step explanation:

From the diagram, you know that 4 OJ makes one drink, so to make 5 drinks, you need 5 times that, or 20 OJ. You can also see that you need twice as much AJ as OJ, so that means you need 40 AJ.

*OJ = Orange juice and AJ = Apple juice

4 0

3 years ago