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daser333 [38]
3 years ago
11

Examine the following sequence 1, 4, 9, 16, 25.... Why is 36 the next number in the sequence? Because the pattern

Mathematics
1 answer:
ki77a [65]3 years ago
6 0

Answer:

b

Step-by-step explanation:

1,4,9,16,25,36,...

we see every number is square of numbers .

every number can be represented by n²

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

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Determine whether the triangles are congruent by AA., SSS, SAS, or not similar.
klemol [59]

Step-by-step explanation:

they are similar by AA .

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6 0
3 years ago
Karan needs to choose between two gym plans. He can either pay a $150 joining fee and a $10 monthly fee, or he can pay a $50 joi
Ierofanga [76]

Let  x be the month on which the fee for two plans are equal.

Therefore,

150 + 10x = 50 + 30x

10x - 30x = 50 - 150

-20x = -100

x = 5

Cumulative cost = 150 + 10(5)

                           = 150 + 50

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Hence, Karan will pay a cumulative cost of $200 dollars with either plan to go to the gym for 5 months.

4 0
3 years ago
7 divided by 4 x + 3 Y + 4 divided / 4 x minus 3 Y is equal to 5 / 4
DerKrebs [107]

9514 1404 393

Answer:

  (x, y) = (4, 4)

Step-by-step explanation:

If you attempt to solve this by clearing fractions, you end up with an extraneous solution. Here, we'll solve the linear equations ...

  7a +4b = 5/4

  8b -14a = 3/2

where a = 1/(4x+3y) and b = 1/(4x-3y)

Dividing the second equation by 2 and adding the first, we have ...

  (7a +4b) +1/2(8b -14a) = (5/4) +1/2(3/2)

  8b = 8/4

  b = 1/4

Substituting into the first equation gives ...

  7a +4/4 = 5/4

  a = 1/28

__

Now, we can get back to solving for x and y.

  4x +3y = 1/a = 28

  4x -3y = 1/b = 4

  8x = 32 . . . . . . . . . add the two equations

  x = 4

  3y = 28 -4x = 28 -4(4) = 12 . . . . . use x in the equation for 'a'; rearrange

  y = 4 . . . . divide by 3

The solution to the system of equations is (x, y) = (4, 4).

_____

<em>Additional comment</em>

If you graph these equations, you find they describe hyperbolas that intersect at (0, 0) and (4, 4). The "solution" (0, 0) is extraneous, as both equations are undefined there.

7 0
3 years ago
Gianna is paid $90 for 5 hours of work.<br><br> • How much money does Gianna make per hour?
Montano1993 [528]

Answer:

18 dollars per hour

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Question 3 options:
melomori [17]

The height of an object can be represented as a function of time.

It takes the rocket 25 seconds to hit the ground

The height function is given as:

\mathbf{h(t) = 400t - 16t^2}

When the rocket hits the ground, we have:

h(t) = 0

So, the height function becomes

\mathbf{ 400t - 16t^2 = 0}

Rewrite as:

\mathbf{ 16t^2 = 400t}

Divide both sides by 16t

\mathbf{ t = 25}

Hence, it takes the rocket 25 seconds to hit the ground

Read more about height functions at:

brainly.com/question/22573423

5 0
3 years ago
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