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4 years ago

Write the explicit formula for the geometric sequence.

1 answer:

5 0

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 4 gives the next term. In other words:

an = a1 * r ^ (n-1)

Now, knowing that a1 = 2, and r = 4

We check

a2 = 2 * 4 ^ (2-1) = 2 * (4 ^ 1) = 8

a3 = 2 * 4 ^ (3-1) = 2 * (4 ^ 2) = 32

a4 = 2 * 4 ^ (4-1) = 2 * (4 ^ 3) = 128

Therefore, this is the geometric function that this sequence fulfills.

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In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts Co

lina2011 [118]

Answer: The expected frequency for the Business college is 31.5.

Step-by-step explanation:

Since we have given that

Number of students from ABC university = 300

Number of students from Liberal Arts college = 120

Number of students in Education college = 90

Number of students in Business college = 90

Probability of students in Business college = 35% = 0.35

Probability of students in Liberal arts college = 0.35

Probability of students in Education college = 0.30

So, Expected frequency for the Business College is given by

$0.35\times 90=31.5$

Hence, the expected frequency for the Business college is 31.5.

4 0

4 years ago

7 x 3/4

Mkey [24]

7 3/4

Step 1: Multiply 7 and 4.

7 x 4=28

Step 2:Add 3 to their product.

28+3=31

Step 3:The number so obtained is the numerator and the denominator remains the same.

Answer: 31/4

I think that is what you are looking for!

Hope that helps!!!

7 0

3 years ago

PLEASE HELP ASAP WILL GIVE BRAINLIEST 5 STAR RATING THANKS AND BRAINLIEST!

PolarNik [594]

Answer:

Step-by-step explanation:

If ABCD is a rectangle, then diagonals are congruent: AC = BD.

We have

AC = 5y - 2

BD = 4y + 1

Substitute:

5y - 2 = 4y + 1 <em>add 2 to both sides</em>

5y - 2 + 2 = 4y + 1 + 2

5y = 4y + 3 <em>subtract 4y from both sides</em>

5y - 4y = 4y - 4y + 3

y = 3

In a parallelogram opposite angles are congruent. Therefore m∠D = m∠B.

We have m∠D = 125° → m∠B = 125°

In the rhombus, the diagonals are bisectors of the rhombus angles.

Therefore ∠SPR and ∠QPR are congruent.

We have

m∠SPR = (2x +15)°

m∠QPR = (3x - 5)°

The equation:

2x + 15 = 3x - 5 <em>subtract 15 from both sides</em>

2x + 15 - 15 = 3x - 5 - 15

2x = 3x - 20 <em>subtract 3x from both sides</em>

2x - 3x = 3x - 3x - 20

-x = -20 <em>change the signs</em>

x = 20

Substitute it to the expression m∠SPR = (2x + 15)°:

m∠SPR = (2(20) + 15)° = (40 + 15)° = 55°

m∠SPR = m∠QPR → m∠QPR = 55°

∠SPQ = ∠SPR + ∠QPR → m∠SPQ = 2(55°) = 110°

In the parallelogram, the sum of the angle measures on one side is 180°.

Therefore we have the equation:

(2x + 15) + x = 180 <em>combine like terms</em>

(2x + x) + 15 = 180 <em>subtract 15 from both sides</em>

3x + 15 - 15 = 180 - 15

3x = 165 <em>divide both sides by 3</em>

3x/3 = 165/3

x = 55

In a parallelogram opposite angles are congruent.

Therefore z = y and x = 2z + 9 → x = 2y + 9 (*)

In the parallelogram, the sum of the angle measures on one side is 180°.

Therefore x + y = 180 (**)

Substitute (*) to (**)

(2y + 9) + y = 180 <em>combine like terms</em>

(2y + y) + 9 = 180 <em>subtract 9 from both sides</em>

3y + 9 - 9 = 180 - 9

3y = 171 <em>divide both sides by 3</em>

y = 57

Put it to (*):

x = 2(57) + 9

x = 114 + 9

x = 123

5 0

3 years ago

Please help me with this!!!

AURORKA [14]

Answer:

since numerator does not change for this equation, just put x+5=30 which is 25

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

This is the question

Sonja [21]

Answer:

The first option: As the x-values go to positive infinity, the function's values go to negative infinity.

Step-by-step explanation:

Let's focus on the right part of the graph. Notice that at x = 1, the line is on the negative y-axis. The same thing happens to when we locate x = 2, it still continues to go down approaching negative infinity.

5 0

3 years ago